item: #1 of 425 id: ratiomathematica-10 author: Kapur, P.K.; Jha, P.C.; Bardhan, A.K. title: DYNAMIC PROGRAMMING APPROACH TO TESTING RESOURCE ALLOCATION PROBLEM FOR MODULAR SOFTWARE date: 2003-02-16 words: 4095 flesch: 67 summary: INTRODUCTION 27 DYNAMIC PROGRAMMING APPROACH TO TESTING RESOURCE ALLOCATION PROBLEM FOR MODULAR SOFTWARE P.K. Kapur1 P.C. Jha1 A.K. Bardhan1 Abstract Testing phase of a software begins with module testing. The duration of module testing is often fixed when scheduling is done for the whole testing phase. keywords: faults; module; number; software; testing cache: ratiomathematica-10.pdf plain text: ratiomathematica-10.txt item: #2 of 425 id: ratiomathematica-1001 author: Santha, S; Krishna Veni, G.T title: Inverse Domination Parameters of Jump Graph date: 2023-01-30 words: 3564 flesch: 90 summary: The number of vertices of jump graph of the 𝑛-sunlet graph is 2𝑛. Let the vertices of the graph is labeled as {𝑣1, 𝑣2, … , 𝑣𝑛 , 𝑢1, 𝑢2, 𝑢3, … . The number of vertices of jump graph of the 𝑛-sunlet graph is 2𝑛. Let the vertices of the graph is labeled as {𝑣1, 𝑣2, … , 𝑣𝑛 , 𝑢1, 𝑢2, 𝑢3, … . keywords: graph 𝐺; vertices; 𝐷 = cache: ratiomathematica-1001.pdf plain text: ratiomathematica-1001.txt item: #3 of 425 id: ratiomathematica-1002 author: Jeyasudha, L; K, Bala Deepa Arasi title: Tri-Closed Sets In Tri-Topological Spaces date: 2023-01-30 words: 4501 flesch: 94 summary: Remark 3.4 Intersection of tri- 𝑏𝑔 ̂closed sets need not be tri- 𝑏𝑔 ̂closed set. In this paper, we define tri- 𝑏𝑔 ̂closed sets and tri- 𝑏𝑔 ̂open sets via the concept of tri- 𝑔 ̂closed sets. keywords: set; tri𝑏𝑔 cache: ratiomathematica-1002.pdf plain text: ratiomathematica-1002.txt item: #4 of 425 id: ratiomathematica-1006 author: Rajan, D; Sugunthakunthalambigai, R title: Forecasting of Annual Rainfall using Fuzzy Logic Interval Based Partitioning in Different Intervals date: 2023-01-30 words: 4835 flesch: 42 summary: Fuzzy time series forecasting is a smart method in areas where information is explicit, imprecise, and approximate. Sachin [4-5] specifically worked on rice yield prediction using fuzzy time series models. keywords: forecasting; intervals; model; mse; partitioning; rainfall; series; time cache: ratiomathematica-1006.pdf plain text: ratiomathematica-1006.txt item: #5 of 425 id: ratiomathematica-101 author: Eugeni, Franco; Ippoliti, Gianluca title: Numeri q-perfetti e q-amicabili di seconda specie e altre generalizzazioni dei numeri perfetti di seconda specie date: 2005-12-17 words: 3646 flesch: 77 summary: Precisamente n è perfetto di 2a specie di ordine 1 se e solo se ν(n) = 4 ovvero se e solo se è 1-perfetto di 2a specie, le cui caratterizzazioni abbiamo già visto (infatti in tal caso le due diverse generalizzazioni coincidono entrambe con i numeri perfetti di 2a specie). Dimostrazione Sia n perfetto di 2a specie di ordine k allora k = ( ) 2 2 −nν ovvero ( )nν keywords: che; con; dei; numeri; perfetti; sia; specie; ν(n cache: ratiomathematica-101.pdf plain text: ratiomathematica-101.txt item: #6 of 425 id: ratiomathematica-1013 author: Sekar, N; Asokan, R title: On δ-open sets in ideal nano topological spaces date: 2023-01-30 words: 3052 flesch: 88 summary: Gn(x)= {Gn |x∈Gn,Gn ∈ N}, denotes (6) the family of nano open sets containing x. [10] I. Rajasekaran and O. Nethaji, Simple forms of nano open sets in an ideal nano topological spaces, Journal of New Theory, 24(2018), 35-43. keywords: ideal; in(c; nano; open cache: ratiomathematica-1013.pdf plain text: ratiomathematica-1013.txt item: #7 of 425 id: ratiomathematica-1015 author: Mariya Begum, Daimi Syeda; Jagtap, Sharadkumar title: Analytical Study of Mixed Convective Flow and Heat Transfer in Vertical Channel Filled with Immiscible Viscous Fluids date: 2023-01-30 words: 3277 flesch: 64 summary: The boundary and interface conditions are u1U0 (1) = 0 , at y = − 1 4 ; u1 (− 1 4 ) = 0 = u2 ( 1 4 ) ; u1(0) = mD 2u2(0) ; ⅆ2u1 ⅆy2 = −48 + GRRT 2 , at y = − 1 4 ; ⅆ2u2 ⅆy2 = −48 − GR 𝑛𝑏 RT 2 , at y = 1 4 ; ⅆu1 ⅆy = D ⅆu2 ⅆy , at y = 0 ; ⅆ2u1 ⅆy2 = 1 nb [ ⅆ2u2 ⅆy2 keywords: flow; heat; region; temperature cache: ratiomathematica-1015.pdf plain text: ratiomathematica-1015.txt item: #8 of 425 id: ratiomathematica-1016 author: Vijayasankari, M; Ramkumar, G title: Weakly θ-I-Closed Sets and Weakly θ-I-continuous functions with respect to an Ideal Topological Spaces date: 2023-01-30 words: 5797 flesch: 82 summary: Keywords: �̆�-ℐ-cld, w�̆�-ℐ-cld, w�̆�-ℐ-openfunction, w�̆�-ℐ-continuous. Then the set {p} is w�̆�-𝓘-cld set but it is not a �̆�-𝓘-cld in X. Theorem 3.4 Every w�̆�-𝓘-cld set is wg-cld but not conversely. keywords: set; ̆ �; � ̆ cache: ratiomathematica-1016.pdf plain text: ratiomathematica-1016.txt item: #9 of 425 id: ratiomathematica-1017 author: Vijayasankari, M; Ramkumar, G title: Some New θ-I-Locally Closed sets with Respect to an Ideal Topological Spaces date: 2023-01-30 words: 6449 flesch: 87 summary: The complement of �̆�-ℐ-cld is called �̆�-ℐ-open. but it is not �̆�-𝓘-closed and the set {p, r} is �̆�-𝓘-lc set keywords: set; sets; ̆ �; � ̆ cache: ratiomathematica-1017.pdf plain text: ratiomathematica-1017.txt item: #10 of 425 id: ratiomathematica-1022 author: Palani, K; Shunmugapriya, A title: Near Mean Labeling in Dicyclic Snakes date: 2023-01-30 words: 3939 flesch: 97 summary: Therefore, 𝑓∗(𝑢𝑖𝑗𝑢𝑖(𝑗+1)⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗) = 𝑛𝑖 + 2𝑗 − 𝑛 − 1 for 𝑖 = 1 to 𝑚, 𝑗 = 1 to ⌊ 𝑛 2 ⌋ (3.5.1) 243 Near mean labeling in dicyclic snakes 𝑓∗ (𝑢 𝑖(⌊ 𝑛 2 ⌋+1) 𝑢 𝑖(⌊ 𝑛 2 ⌋+2) ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗) = ⌈ 𝑓 (𝑢 𝑖(⌊ 𝑛 2 ⌋+1) ) = |𝑓∗ (𝑢 𝑚(⌊ 𝑛 2 ⌋+1) 𝑢 𝑚(⌊ 𝑛 2 ⌋+2) ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ) keywords: ⃗⃗ ⃗⃗ cache: ratiomathematica-1022.pdf plain text: ratiomathematica-1022.txt item: #11 of 425 id: ratiomathematica-1023 author: Palani, K; Sabarina Subi, S S title: Radio Mean Labeling of Digraphs date: 2023-01-30 words: 3083 flesch: 86 summary: The resulting digraph is called alternate diglobe and is denoted as 𝐴𝐺𝑙(𝑛)⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗. 𝐴𝐺𝑙(𝑛)⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗ is not a strong digraph. and therefore 𝑟𝑚𝑛(𝐵(3, 𝑛)⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗) ≤ keywords: ⃗⃗ ⃗⃗; 𝑉(𝐷; 𝑛 + cache: ratiomathematica-1023.pdf plain text: ratiomathematica-1023.txt item: #12 of 425 id: ratiomathematica-1024 author: Annapoopathi, M; Meena, N title: Changing and Unchanging strong efficient edge domination number of some standard graphs when a vertex is removed or an edge is added date: 2023-01-30 words: 4492 flesch: 89 summary: Keywords: Domination, edge domination, strong edge domination, efficient edge domination, strong efficient edge domination. A subset F of E is called an efficient edge dominating set if every edge in E is either in F or dominated by exactly one edge in F. The cardinality of minimum efficient edge dominating set is called the edge domination number of G. Motivated by these definitions; strong efficient edge domination in graphs is defined as follows. keywords: dominating; edge; incident; set; vertex cache: ratiomathematica-1024.pdf plain text: ratiomathematica-1024.txt item: #13 of 425 id: ratiomathematica-1025 author: Tirumala Devi, M; Afreen, Sameena; Shyam Prasad, V; Majeed, Abdul; Mahender Reddy, G. title: Application of Analytic Hierarchy Process in Engineering Education date: 2023-01-30 words: 4201 flesch: 49 summary: Ratio Mathematica Volume 45, 2023 Application of Analytic Hierarchy Process in Engineering Education M. Tirumala Devi1 Sameena Afreen2 V. Shyam Prasad3 Abdul Majeed4 G. Mahender Reddy5 Abstract Analytic Hierarchy Process (AHP) provides a mathematical technique to formulate a problem as a hierarchical structure and believes in an amalgamation of quantitative and qualitative criteria. This paper is published under the CC-BY licence agreement 268 Application of Analytic Hierarchy Process in Engineering Education manage a job, resulting in better chances. keywords: --60; criteria; data; engineering; intelligence; iot; process; science; table; technology; weights cache: ratiomathematica-1025.pdf plain text: ratiomathematica-1025.txt item: #14 of 425 id: ratiomathematica-103 author: Vougiouklis, Thomas title: A HYPEROPERATION DEFINED ON A GROUPOID EQUIPPED WITH A MAP date: 2005-06-18 words: 3050 flesch: 75 summary: Definition 4. Let (H,⋅) be Hv-group, take a Hv-ring (R,+,⋅) and a set MR ={ (aij)aij∈R }, then any map T:H→MR: h→T(h) with T(h1h2)∩T(h1)T(h2)≠∅, ∀h1,h2∈H, is a Hv-matrix representation. Then helix-projection is a map st:Mm×n→Ms×t:A→Ast=(aij), where Ast has entries aij = { ai+κs,j+λt 1≤i≤s, 1≤j≤t and κ,λ∈N, i+κs≤m, j+λt≤n } Let A=(aij)∈Mm×n, B=(bij)∈Mu×v be matrices, s=min(m,u), t=min(n,v). keywords: group; map cache: ratiomathematica-103.pdf plain text: ratiomathematica-103.txt item: #15 of 425 id: ratiomathematica-1030 author: Priscilla Pacifica, G; Christy Rani, K title: Forcing vertex square free detour number of a graph date: 2023-01-30 words: 3908 flesch: 80 summary: ≤ α ≤ β and β ≥ 2 for some vertex u in G. Keywords: forcing square free detour number; forcing vertex square free detour set; forcing vertex square free detour number. n ≥ 4 2 if u ∈ Cn−1, n ≥ 6 1 if u ∈ Cn−1, 4 ≤ n ≤ 5 3 Forcing vertex square free detour number of a graph Even though every connected graph contains a vertex square free detour set, some connected graph may contain several vertex square free detour sets. keywords: detour cache: ratiomathematica-1030.pdf plain text: ratiomathematica-1030.txt item: #16 of 425 id: ratiomathematica-1034 author: Mercy, Christina; Tamizh Chelvam, T title: Pell Even Sum Cordial Labeling of Graphs date: 2023-01-30 words: 3265 flesch: 90 summary: Shiama [11] defined Pell labeling and shown that path, cycle, star, double star, coconut tree, bistar and 𝐵𝑚,𝑛,𝑘 are Pell graphs. Muthu Ramakrishnan and Sutha[8] proposed Pell graceful labeling as an extension of Fibonacci graceful labeling and demonstrated that cycle, path, olive tree, comb graph are Pell graceful graphs whereas complete graph and wheel graphs are not Pell graceful. keywords: 𝑉(𝐺 cache: ratiomathematica-1034.pdf plain text: ratiomathematica-1034.txt item: #17 of 425 id: ratiomathematica-104 author: Migliorato, Renato; Gentile, Giuseppe title: Euclid and the scientific thought in the third century B.C. date: 2005-06-18 words: 20294 flesch: 54 summary: But as we will say forward, we can well hypothesize that the appar- ent aseptic style of the Euclidean writings and other scientific works of the same century, are not determined by the fortune but by a precise choice; and it is possible that such hypothesis fur- nishes a key of reading of the Alexandrine science, and at the same time an explanation of the survival of several scientific texts, while all the original texts of the same period that subtend a vision of the world are lost15. In this climate, characterized by lively philosophical disputes, the scientists, and in particular Euclid, tend to obtain coherent and stable results, voluntarily omitting to give their opinion on the real being of the scientific object and on the truth of the principles. keywords: angles; aristotle; century; elements; enriques; euclid; fact; geometry; interpretation; knowledge; lines; notions; parallel; passage; phenomena; point; postulates; proposition; science; sense; things; thought; way; work cache: ratiomathematica-104.pdf plain text: ratiomathematica-104.txt item: #18 of 425 id: ratiomathematica-1040 author: Verma, Krishnandan title: Influence of chemical reaction, radiation and heat source on separation of binary fluid mixture with Soret and Dufour effects on MHD mixed convective flow past a vertical plate date: 2023-03-20 words: 3836 flesch: 58 summary: Ratio Mathematica Volume 46, 2023 Influence of chemical reaction, radiation and heat source on separation of binary fluid mixture with Soret and Dufour effects on MHD mixed convective flow past a vertical plate Krishnandan Verma* Sanjit Basfor Abstract The motive of the current study is to analyse the consequences of Soret, Dufour and thermal radiation on chemically reactive MHD mixed convective flow on separation of binary fluid mixture. Many researchers studied the separation process of binary fluid mixture on various geometries. keywords: dufour; effects; fluid; heat; mixture; number; soret; temperature cache: ratiomathematica-1040.pdf plain text: ratiomathematica-1040.txt item: #19 of 425 id: ratiomathematica-1043 author: Rehman A, Riyaz Ur; Ismayil, A Mohamed title: Transversal Eccentric Domination in Graphs date: 2023-03-20 words: 2840 flesch: 83 summary: We find the TED-number γted (G) of family of graphs, theorems related to their properties are stated and proved. The concept of transversal domination in graphs was introduced by Nayaka S.R, Anwar Alwardi and Puttaswamy in 2018. keywords: graph; set; ted; vertex; γted(g cache: ratiomathematica-1043.pdf plain text: ratiomathematica-1043.txt item: #20 of 425 id: ratiomathematica-1056 author: S, Meena; G, Gajalakshmiy title: Prime Labeling of H- Super Subdivision of Y-tree Related Graphs date: 2023-03-20 words: 2598 flesch: 94 summary: In this paper we investigate the existence of odd prime labeling of some new classes of graphs and we prove that the graphs such as the Z−Pn graph, Fish graph, Umbrella graph, Cocount tree , F -tree, Y -tree and Double Sunflower graph are odd prime graphs. Keywords: Odd prime graph, Z − Pn graph, Fish graph, Umbrella graph,Cocount tree , F -tree, Y -tree, Double Sunflower graph. 2020 AMS subject classifications: 05C78 1 *Department Of Mathematics, Govt, Arts & Science College, Chidambaram 608 102, India; meenasaravanan14@gmail.com. †Department Of Mathematics, Govt, Arts & Science College, Chidambaram; gaja61904@gmail.com. keywords: graph cache: ratiomathematica-1056.pdf plain text: ratiomathematica-1056.txt item: #21 of 425 id: ratiomathematica-1058 author: J, Christy Jenifer; V, Kokilavani title: IFG#α-CS in Intuitionistic Fuzzy Topological Spaces date: 2023-03-20 words: 2183 flesch: 85 summary: Let C =< e, (0.5, 0.6), (0.8, 0.9) >. [1965] initiated the concept of fuzzy sets in which the values are taken between 0 and 1. keywords: ifg#αcs cache: ratiomathematica-1058.pdf plain text: ratiomathematica-1058.txt item: #22 of 425 id: ratiomathematica-1059 author: G, Gajalakshmi; S, Meena title: Odd Prime Labeling For Some Arrow Related Graphs date: 2023-03-20 words: 2486 flesch: 94 summary: = {ulul+1,vlvl+1,wlwl+1/1 ≤ l ≤ y −1}∪{vlwl,ulvl/1 ≤ l ≤ y} ∪{uou1}∪{u0v1}∪{u0w1} 72 G. Gajalakshmi and S. Meena = {ulul+1/1 ≤ l ≤ y −1}∪{u0v1}∪{u0u1} ∪{vlvl+1/1 ≤ l ≤ y −1}∪{ulvl/1 keywords: y l; ≤ l; ≤ y cache: ratiomathematica-1059.pdf plain text: ratiomathematica-1059.txt item: #23 of 425 id: ratiomathematica-1060 author: N, Azhagendran; A, Mohamed Ismayil title: Some Operations on Complex Fuzzy Graphs date: 2023-03-20 words: 3317 flesch: 90 summary: A † Abstract In this paper we discussed about some types of complex fuzzy graphs which is the extension of fuzzy graph. In complex fuzzy graph it will be extended to unit circle of complex plane. keywords: cfg; complex; gc1; gc2; graphs; min cache: ratiomathematica-1060.pdf plain text: ratiomathematica-1060.txt item: #24 of 425 id: ratiomathematica-1061 author: K D, Diviya; Kishore, Anjaly title: Degree of an edge and Platt Number in signed networks date: 2023-03-20 words: 3295 flesch: 75 summary: The de- gree of edges in signed graphs is introduced by giving importance to positive edges incident on the end vertices of that edge. The concept of Platt number of a graph, which is the sum of degrees of its edges, is extended to signed graphs based on the degree defined. keywords: +1 +1; degree; edge; graph; number; platt cache: ratiomathematica-1061.pdf plain text: ratiomathematica-1061.txt item: #25 of 425 id: ratiomathematica-1062 author: G, Janaki; A, Gowri Shankari title: Algebraic Coding Theory Using Pell Equation x2 − 8y2 = 1 date: 2023-03-20 words: 1845 flesch: 78 summary: Gj = ( gj1 gj2 gj3 gj4 ) 7. P− encrypted matrix defined by P = ( dj gjk ) k∈{1,2,4} 8. ( Q8 ∗)m = ( q11 q12 q21 q22 ) 9. ∗− denotes the space between the words. j 1 2 3 4 5 6 7 8 xj 3 17 99 577 3363 19601 114243 665857 yj 1 6 35 204 1189 6930 40391 235416 Case (i): g=1 Example: 1 Take “ARMY” as the encrypted message. Encryption: G = ( A R M Y ) keywords: equation; matrix; pell cache: ratiomathematica-1062.pdf plain text: ratiomathematica-1062.txt item: #26 of 425 id: ratiomathematica-1063 author: R, Jahir Hussain; M, Afya Farhana title: Bounds On Fuzzy Dominator Chromatic Number of Fuzzy Soft Bipartite Graphs date: 2023-03-20 words: 2994 flesch: 78 summary: In the current work, we charac- terize the sharp bounds for the Fuzzy Dominator Chromatic Number (FDCN) of fuzzy soft bipartite graphs and we present limits on the FDCN of fuzzy soft bipartite graph in terms of the γe(GS(T,V )). Ratio Mathematica Volume 46, 2023 Bounds on fuzzy dominator chromatic number of fuzzy soft bipartite graphs Jahir Hussain Rasheed* Afya Farhana Mohammed Shaik† Abstract An FSG GS(T,V) fuzzy’s soft dominator colouring (FSDC) is a suit- able Fuzzy Soft Colouring (FSC) where every node of a colour group is dominated by a vertex of GS(T,V). keywords: bipartite; dominator; graphs; gs(t; nodes cache: ratiomathematica-1063.pdf plain text: ratiomathematica-1063.txt item: #27 of 425 id: ratiomathematica-1067 author: Jabarulla Mohamed, Mohammed; Rajamanickam, Sivasamy title: Strong Interval – Valued Pythagorean Fuzzy Soft Graphs date: 2023-03-20 words: 2876 flesch: 89 summary: , (βY1U ◦βY2U )(p,q2) = max(βY1U (p),βY2U (p2,q2)),∀p1 ∈ V1,p2q2 ∈ E2. 132 Strong interval – valued Pythagorean fuzzy soft graphs 3) (αY1L ◦αY2L)(p1,r)(q1,r) = min(αY1L(p1q1),αY2L(r)), (αY1U ◦αY2U )(p1,r)(q1,r) = min(αY1U (p1q1),αY2U (r)), (βY1L ◦βY2L)(p1,r)(q1,r) = max(βY1L(p1q1),βY2L(r)), (βY1U ◦βY2U )(p1,r)(q1,r) = max(βY1U (p1q1),βY2U (r)),∀r ∈ V2,p1q1 ∈ E1. = max(βY1L(p),βY2L(p2,q2)), (βY1U ×βY2U )(p,p2)(p,q2) = max(βY1U (p),βY2U (p2,q2)),∀p ∈ V1,p2q2 ∈ E2. 3) (αY1L ×αY2L)(p1,r)(q1,r) = min(αY1L(p1q1),αY2L(r)), (αY1U ×αY2U )(p1,r)(q1,r) = min(αY1U (p1q1),αY2U (r)), (βY1L ×βY2L)(p1,r)(q1,r) = max(βY1L(p1q1),βY2L(r)), (βY1U ×βY2U )(p1,r)(q1,r) = max(βY1U (p1q1),βY2U (r)),∀r ∈ V2,p1q1 ∈ E1. keywords: ξ̃1 cache: ratiomathematica-1067.pdf plain text: ratiomathematica-1067.txt item: #28 of 425 id: ratiomathematica-107 author: KANT, SHRI; SHARMA, VEENA; DASS, B. K. title: ON RECOGNITION OF CIPHER BIT STREAM FROM DIFFERENT SOURCES USING MAJORITY VOTING FUSION RULE date: 2005-06-18 words: 5237 flesch: 59 summary: And in non-overlapped reading, we move block by block i.e. we divide the whole message into blocks of given pattern word length and then these blocks are taken as pattern words. These patterns require their representation in pattern space as multidimensional feature vectors so that these can become suitable for further analysis. keywords: class; classification; classifier; fusion; pattern; representation; scene; speech; text cache: ratiomathematica-107.pdf plain text: ratiomathematica-107.txt item: #29 of 425 id: ratiomathematica-1070 author: Ramkumar, S; Sridevi, R title: Domination in m− polar soft fuzzy graphs date: 2023-03-20 words: 2841 flesch: 84 summary: Ratio Mathematica Volume 46, 2023 Domination in m− polar soft fuzzy graphs S. Ramkumar * R. Sridevi † Abstract In this article, we have introduced dominating set, minimal dominat- ing set, independent dominating set, maximal independent dominat- ing set in m polar soft fuzzy graphs. The possibilityof domination in m− polar fuzzy graphs was introduced by M. Akram et.al keywords: h̃p; set cache: ratiomathematica-1070.pdf plain text: ratiomathematica-1070.txt item: #30 of 425 id: ratiomathematica-1071 author: Jahir Hussain, R; Palaniyandi, S title: Anti-Homomorphism in Q-Fuzzy Subgroups and Normal Subgroups date: 2023-03-20 words: 2164 flesch: 90 summary: A Q-fuzzy set θ is Q−fuzzy ≤ G if ∀u,v ∈ G, and ρ ∈ Q (i) θ (uv, ρ) ≥ lower{θ (u, ρ) , θ (v, ρ)} (ii) θ (u−1, ρ) [2014] A Q-fuzzy set θ is called Q ≤ G if ∀u,v ∈ G, and ρ ∈ Q in anti Q fuzzy. keywords: anti cache: ratiomathematica-1071.pdf plain text: ratiomathematica-1071.txt item: #31 of 425 id: ratiomathematica-1072 author: Gnana Priya, G.; Sabarmathi, A.; Naga Soundarya Lakshmi, V.S.V title: A Dynamical Analysis of a Mathematical Model on Type-2 Diabetic From Obestiy date: 2023-03-20 words: 3776 flesch: 73 summary: Figure (2) shows the flow of variables with control parameters. The obesity rate Figure 2: Obesity and Diabetic with control parameters Figure 3: Obesity and Diabetic without control parameters and diabetic rate are stable with high recovery rate with respect to time . keywords: control; diabetic; obesity cache: ratiomathematica-1072.pdf plain text: ratiomathematica-1072.txt item: #32 of 425 id: ratiomathematica-1074 author: Sivasamy, Pavithra; Ramesh Kumar, Vanthana title: Theoretical Analysis on the Growth Kinetics of SARS-CoV (within host) date: 2023-03-20 words: 3282 flesch: 67 summary: Vie (−a2−c2)t b1 − a2 − c2 + a3a1Vie −b1t a2(b1 − c2) − a3(Ei − a1a2 )Vie −b1t b1 − a2 − c2 (36) Viral load cells are given by V (t) = Vi(t)e −c2t + c1Eie −b1t c2b1 − d1d2 )Vie (−(d2+c2)t d2 − c1Eie −c2t c2(b1 − c2) − c3(Ni keywords: cells; figure; rate cache: ratiomathematica-1074.pdf plain text: ratiomathematica-1074.txt item: #33 of 425 id: ratiomathematica-1075 author: Padmavathi, P title: Properties of Nano Generalized Pre c-Interior in a Nano Topological Space date: 2023-03-20 words: 1991 flesch: 67 summary: The elements of r<(ℵ) are called as nano open sets in = and (=,r<(ℵ)) is called as a nano topological space. The complement of the nano open sets are called nano closed sets. keywords: nano cache: ratiomathematica-1075.pdf plain text: ratiomathematica-1075.txt item: #34 of 425 id: ratiomathematica-1076 author: Myithili, K.K; Keerthika, R title: Transversal Core of Intuitionistic Fuzzy k-Partite Hypergraphs date: 2023-03-20 words: 3212 flesch: 84 summary: Hence ℵai,bi ⊆ T R(T R(ℵ)) which implies ℵai,bi = T R(T R(ℵ)). ⊂ A ai,bi implies the IFS ∨(gi) defined by ∨(gi) = { (δ,ε) if x ∈ A ai,bi \ T ai,bi A (gi) Otherwise is an IFT of IFk-PHG. keywords: ifk; phg cache: ratiomathematica-1076.pdf plain text: ratiomathematica-1076.txt item: #35 of 425 id: ratiomathematica-1078 author: Lekha, A; Parvathy, K.S title: On fz- Domination Number of Fuzzy Graphs date: 2023-03-20 words: 3051 flesch: 84 summary: 219 Lekh A and Parvathy K.S 4 fz- domination in corona of fuzzy graphs The corona of G = (V1,µ1,σ1) and K1 = (u,µ2(u)) is the fuzzy graph G◦K1 obtained by attaching a copy of K1 to each vertex vi ∈ V1 such that σ(vi,ui) = µ1(vi)∧µ2(ui) where ui represents the vertex in the copy of K1 corresponding to vi ∈ V1. Keywords: fuzzy graph; fz-dominating sets; fz-domination number; graph operations 2020 AMS subject classifications:05C69, 05C72. 1 *Maharaja’s Technological Institute, Thrissur, Kerala, India. alekharemesh@gmail.com, lekha.a.res@smctsr.ac.in. †St. keywords: graphs; γfz(g cache: ratiomathematica-1078.pdf plain text: ratiomathematica-1078.txt item: #36 of 425 id: ratiomathematica-1079 author: Deepa, R.; Sundararajan, Dr. P. title: Super Fuzzy Matrix of Inverse in kth Order date: 2023-03-20 words: 2505 flesch: 84 summary: Ratio Mathematica Volume 46, 2023 Super fuzzy matrix of inverse in kth Order R.Deepa* P. Sundararajan† Abstract In normal matrix and fuzzy matrix working well but sometimes fail to work for classical model problems. Unexpected event modelling is a affluent area of study in fuzzy matrix (FM) modelling. keywords: inverse; matrices; matrix; super cache: ratiomathematica-1079.pdf plain text: ratiomathematica-1079.txt item: #37 of 425 id: ratiomathematica-1080 author: Senthamizh Selvan, J; Jahir Hussain, R title: Some results on range labeling date: 2023-03-20 words: 2027 flesch: 83 summary: A bijection on α : Ψ → {1, 3, 6, 10, 15, ........n 2+n 2 } is called a range labeling if for each edge τ is distinct and τ is defined by α∗(τ) = Maximum value (Ψk, Ψk+1)− Minimum value (Ψk, Ψk+1). Consider, α : Ψ →{1, 3, 6, 10, 15, ........n 2+n 2 } α∗(τ) = Maximum value (Ψk, Ψk+1)− Minimum value (Ψk, Ψk+1) α∗(τ1) = Maximum value (Ψ1, Ψ2)− Minimum value (Ψ1, Ψ2) if Ψ1 is a maximum value, Ψ2 is a minimum value. keywords: minimum; value cache: ratiomathematica-1080.pdf plain text: ratiomathematica-1080.txt item: #38 of 425 id: ratiomathematica-1081 author: Kuriakose, Reeja; Parvathy, K. S title: Stability of Domination in Graphs date: 2023-03-20 words: 4640 flesch: 83 summary: In this paper the vertices of D and vertices of V − D are called donors and acceptors respectively. A subset D of vertices in a social network graph with the condition that each member in D dominates almost equally many members in V − D, or that each member in V − D is dominated by almost equally many members in D, or both, plays a key role. keywords: dominating; set cache: ratiomathematica-1081.pdf plain text: ratiomathematica-1081.txt item: #39 of 425 id: ratiomathematica-1082 author: Tejaskumar, R; Mohamed Ismayil, A title: Superior Eccentric Domination Polynomial date: 2023-03-20 words: 3483 flesch: 77 summary: + φ β−1|sed(Wβ−1,β −1)|+ φ β|sed(Wβ−1,β)| = φ [φ |sed(Wβ−1,1)|+ φ 2|sed(Wβ−1,2)|+ φ 3|sed(Wβ−1,3)| + φ 4|sed(Wβ−1,4)|+ · · ·+ φ β−1|sed(Wβ−1,β −1)|] + φ |sed(Wβ−1,1)| + φ 2|sed(Wβ−1,2)|+ φ 3|sed(Wβ−1,3)|+ φ 4|sed(Wβ−1,4)| + · · ·+ φ β−1|sed(Wβ−1,β −1)| Since |sed(Wβ−1,0)| = |sed(Wβ−1,β)| = 0. φ 3|sed(Wβ−1,3)|+ φ 4|sed(Wβ−1,3)|+ φ 4|sed(Wβ−1,4)| + · · ·+ φ β−1|sed(Wβ−1,β −2)| + φ β−1|sed(Wβ−1,β −1)|+ φ β|sed(Wβ−1,β −1)|+ φ β|sed(Wβ−1,β)|. = φ |sed(Wβ−1,0)|+ φ 2|sed(Wβ−1,1)|+ keywords: domination; graph cache: ratiomathematica-1082.pdf plain text: ratiomathematica-1082.txt item: #40 of 425 id: ratiomathematica-1083 author: Vinu Priya, G; Jothilakshmi, R title: Linear predictor and autocorrelation for noisy and delayed digital signal date: 2023-03-20 words: 2118 flesch: 69 summary: [ σ2�B(z)B(z −1) B(z−1) ], (2) 272 Linear predictor and autocorrelation for noisy and delayed digital signal Here B(z) be a causal and stable filter, and extend the causal and stale filter as zB(z) is then zB(z) = z(b1z −1 + b2z −2 + b3z −3 + · · ·) Section II focuses the linear prediction and digital signal modeling Welch et al. keywords: function; linear; signal cache: ratiomathematica-1083.pdf plain text: ratiomathematica-1083.txt item: #41 of 425 id: ratiomathematica-1085 author: Shakila, CV; Khadar Babu, SK title: Wheat Crop Yield Forecasting Using Various Regression Models date: 2023-03-20 words: 2935 flesch: 56 summary: 283 Wheat crop yield forecasting using various regression models 3.4 Polynomial regression In polynomial regression, a kind of linear regression, the relationship between the random variable x and the dependent variables y is represented as a nth-degree polynomial. 285 Wheat crop yield forecasting using various regression models 4.3 Regression models Numerous research showed that machine learning techniques could forecast wheat production. keywords: forecasting; lasso; models; polynomial; regression; ridge; wheat; yield cache: ratiomathematica-1085.pdf plain text: ratiomathematica-1085.txt item: #42 of 425 id: ratiomathematica-1086 author: Sumathi, C. B.; Jothilakshmi, R. title: BIBO Stability and Decomposition Analysis of Signals and System with Convolution Techniques date: 2023-03-20 words: 1744 flesch: 64 summary: 294 BIBO stability analysis of signals and system 3 Representation of systems via LTI difference equa- tions The output form of difference equation of discrete time system is defined like Haung and P. M.Knopf 291 C. B. Sumathi and R. Jothilakshmi 1 Introduction Difference equations are described the evolution of applied mathematics phe- nomenon of latest technology from artificial intelligence to IoT. Higher order difference equations and time invariant systems are focusing more real world problems in the diverse fields like communication technology Srinivasan et al. keywords: difference; equations; stability; systems; time cache: ratiomathematica-1086.pdf plain text: ratiomathematica-1086.txt item: #43 of 425 id: ratiomathematica-1087 author: Revathi, K.; Sundararajan, Dr. P. title: Intuitionistic Robust Fuzzy Matrix for the Diagnosis of Stress, Anxiety and Hypertension date: 2023-03-20 words: 3683 flesch: 64 summary: This is because indications of high blood pressure are uncommon until blood pressure is quite high. One of the most dangerous elements of high blood pressure is that you may be unaware of it. keywords: blood; diagnosis; disease; hypertension; indication; patient; pressure; symptom cache: ratiomathematica-1087.pdf plain text: ratiomathematica-1087.txt item: #44 of 425 id: ratiomathematica-1088 author: Nagoor gani, A; Yogarani, R title: Solving fuzzy linear programming problems by using the fuzzy exponential barrier method date: 2023-03-20 words: 1927 flesch: 67 summary: The fuzzy exponential bar- rier approach is a different way to solve fuzzy linear programming problems. Triangular fuzzy number The triangular fuzzy number is the fuzzy set M̃ = (M1,M2,M3),M1 ≤ M2 ≤ 311 Solving fuzzy linear programming problems by using the fuzzy exponential barrier method M3 ∈ R, if the membership function of M̃ is defined by µ M̃ (y) =   y−M1 M2−M1 , M1 ≤ y ≤ M2 m3−y m3−M2 , M2 ≤ y ≤ M3 0, otherwise 3 : Fuzzy exponential barrier method Primal-dual of the fuzzy linear programming problems maxZ̃ = f̃t(ỹ) subject to Mjỹ ≥ keywords: barrier; fuzzy; linear; programming cache: ratiomathematica-1088.pdf plain text: ratiomathematica-1088.txt item: #45 of 425 id: ratiomathematica-1089 author: Sudha, A.; Sundararajan, Dr. P. title: Robust Fuzzy Graph date: 2023-03-20 words: 2042 flesch: 80 summary: Ratio Mathematica Volume 46, 2023 Robust Fuzzy Graph A.Sudha* P. Sundararajan† Abstract The idea of fuzzy graphs is crucial for dealing with uncertainty in day-to-day living situations. In this paper we in- troduce a type of fuzzy graph relating with robustness is called robust fuzzy graph and some of its properties. keywords: definition; graph; rfg cache: ratiomathematica-1089.pdf plain text: ratiomathematica-1089.txt item: #46 of 425 id: ratiomathematica-109 author: Hasankhani, A. title: Ideals in a semihypergroup and Green's relations date: 1999-02-18 words: 4 flesch: 75 summary: Microsoft Word - R.M.13 cap.2.doc keywords: microsoft cache: ratiomathematica-109.pdf plain text: ratiomathematica-109.txt item: #47 of 425 id: ratiomathematica-11 author: Fedullo, Aniello title: KALMAN FILTERS AND ARMA MODELS date: 2003-02-16 words: 1687 flesch: 59 summary: - Kalman R.E. e R.S. Bucy (1961), New results in linear filtering and prediction problems, Trans. Such problems were overcome by the development of recursive algorithms. keywords: kalman; linear; problem; time cache: ratiomathematica-11.pdf plain text: ratiomathematica-11.txt item: #48 of 425 id: ratiomathematica-1131 author: Mirajkar, Keerthi G.; Sthavarmath, Priyanka G. title: Cactus Graphs with Cycle Blocks and Square Product Labeling date: 2023-07-27 words: 6412 flesch: 97 summary: = f(v ′ n−1) A dynamic survey of graph labeling. keywords: f(v; ≤ n cache: ratiomathematica-1131.pdf plain text: ratiomathematica-1131.txt item: #49 of 425 id: ratiomathematica-1137 author: Martino, Roberta; Ventre, Viviana; di Tollo, Giacomo title: Analytic Hierarchy Process for classes of economic behavior in the context of intertemporal choices date: 2023-06-30 words: 11520 flesch: 51 summary: In this regard, two main theories can be pointed out: the sociocultural theory (Eagly and Wood, 1999), which focuses the reasons for gender difference on a historical division of labour between men and women; the cognitive theory of social learning (Bussey and Bandura, 1999), on the other hand, which focuses gender differences with children's internalization of existing social norms. Most theoretical and empirical work analyses gender difference with a comparison between the environment in which the individual develops (Eagly and Wood, 1999) and evolutionary origins (Geary, 2010). keywords: analysis; behavior; choices; decision; differences; distribution; economic; effect; figure; gender; impatience; making; respect; table; temperament; ventre; women cache: ratiomathematica-1137.pdf plain text: ratiomathematica-1137.txt item: #50 of 425 id: ratiomathematica-1140 author: P. N., Jayaprasad title: Products on Maximal Compact Frames date: 2023-07-23 words: 3364 flesch: 72 summary: In this paper, we ex- amine whether the coproduct of maximal compact frames is maximal compact. We examine the case for a finite coproduct and for an ar- bitrary coproduct of maximal compact frames. keywords: compact; frame; maximal; sublocale; theorem cache: ratiomathematica-1140.pdf plain text: ratiomathematica-1140.txt item: #51 of 425 id: ratiomathematica-1180 author: Rajput, Alpa Singh; Thakur, Mahima; Thakur, Samajh Singh title: Fuzzy soft set connected mappings date: 2023-07-23 words: 5412 flesch: 88 summary: Keywords: Fuzzy soft sets; Fuzzy soft connectedness; Fuzzy soft connectedness between fuzzy soft sets and Fuzzy soft set-connected mappings. The hybrid structure of fuzzy sets and soft set called fuzzy soft set was created by Maji et al. keywords: fuzzy; set cache: ratiomathematica-1180.pdf plain text: ratiomathematica-1180.txt item: #52 of 425 id: ratiomathematica-128 author: Ferri, Stefania title: Una caratterizzazione delle coniche di PG (2,q) date: 1996-02-18 words: 3 flesch: -21 summary: Microsoft Word - capitolo_5.doc keywords: microsoft cache: ratiomathematica-128.pdf plain text: ratiomathematica-128.txt item: #53 of 425 id: ratiomathematica-13 author: Dass, Bal Kishan; Sobha, Gangmei title: MODERATE-DENSITY BURST ERROR CORRECTING LINEAR CODES date: 2003-02-16 words: 3287 flesch: 79 summary: MODERATE-DENSITY BURST ERROR CORRECTING LINEAR CODES MODERATE-DENSITY BURST ERROR CORRECTING LINEAR CODES Bal Kishan Dass and Gangmei Sobha* Department of Mathematics, University of Delhi, Delhi-110007, India ABSTRACT Lower and upper bounds for the existence of linear codes which correct burst of length b (fixed) and whose weight lies between certain limits have been presented. [Dass, 1982]. In this paper, we derive lower and upper bounds for linear codes that detect/correct Moderate-density bursts of length b (fixed) for some positive integer b. keywords:  ;   cache: ratiomathematica-13.pdf plain text: ratiomathematica-13.txt item: #54 of 425 id: ratiomathematica-130 author: Gelsomini, Emma title: Un esempio di ipergruppo ottenuto mediante combinazioni lineari. date: 1996-02-18 words: 3 flesch: -21 summary: Microsoft Word - capitolo_7.doc keywords: microsoft cache: ratiomathematica-130.pdf plain text: ratiomathematica-130.txt item: #55 of 425 id: ratiomathematica-135 author: Chiarini, Marco; Vegliò, Francesco title: INTERAZIONE DI PIRAZOLILBORATI 3,4,5-TriMe SOSTITUITI CON ORGANOSTAGNO(IV) date: 1995-12-18 words: 3 flesch: 62 summary: Microsoft Word - cap1.doc keywords: microsoft cache: ratiomathematica-135.pdf plain text: ratiomathematica-135.txt item: #56 of 425 id: ratiomathematica-136 author: Eugeni, Franco; Zuanni, Fulvio title: UN MODELLO MATERIALE DI NASTRO DI MOBIUS date: 1996-02-18 words: 6 flesch: 87 summary: Microsoft Word - cap 1 libro 10.doc keywords: microsoft cache: ratiomathematica-136.pdf plain text: ratiomathematica-136.txt item: #57 of 425 id: ratiomathematica-138 author: Zannetti, Mauro title: IL VANTAGGIO DI OPERARE IN UN AMBIENTE FINITO date: 1996-02-18 words: 6 flesch: 45 summary: Microsoft Word - capitolo intero n 3.doc keywords: microsoft cache: ratiomathematica-138.pdf plain text: ratiomathematica-138.txt item: #58 of 425 id: ratiomathematica-139 author: Bucci, Giovanni; Germano, Antonietta; Landi, Carmine title: A RECURSIVE ALGORITHM SUITABLE FOR REAL-TIME MEASUREMENT date: 1995-12-18 words: 3 flesch: 62 summary: Microsoft Word - cap2.doc keywords: microsoft cache: ratiomathematica-139.pdf plain text: ratiomathematica-139.txt item: #59 of 425 id: ratiomathematica-140 author: D'Aniello, Ciro title: BRUNO RIZZI E IL FUSIONISMO date: 1996-02-18 words: 6 flesch: 45 summary: Microsoft Word - capitolo intero n 4.doc keywords: microsoft cache: ratiomathematica-140.pdf plain text: ratiomathematica-140.txt item: #60 of 425 id: ratiomathematica-141 author: Di Foggia, C; Prosperi, R. title: RAPPRESENTAZIONE VETTORIALE DELLE SINUSOIDI date: 1996-02-18 words: 5 flesch: 32 summary: Microsoft Word - capitolo intero 5.doc keywords: microsoft cache: ratiomathematica-141.pdf plain text: ratiomathematica-141.txt item: #61 of 425 id: ratiomathematica-142 author: Di Gennaro, Fernando title: CAMPI DI GALOIS: UNA PRESENTAZIONE DIVULGATIVA date: 1996-02-18 words: 6 flesch: 45 summary: Microsoft Word - capitolo intero n 6.doc keywords: microsoft cache: ratiomathematica-142.pdf plain text: ratiomathematica-142.txt item: #62 of 425 id: ratiomathematica-143 author: Mancinelli, Franco title: NOTE SU DUE PROBLEMI DI GEOMETRIA E SUCCESSIONI RICORSIVE date: 1996-02-18 words: 6 flesch: 45 summary: Microsoft Word - capitolo intero n 7.doc keywords: microsoft cache: ratiomathematica-143.pdf plain text: ratiomathematica-143.txt item: #63 of 425 id: ratiomathematica-144 author: Tibiletti, Luisa title: QUASI-CONCAVITY PROPERTY OF MULTIVARIATE DISTRIBUTION FUNCTIONS date: 1995-12-18 words: 3 flesch: 62 summary: Microsoft Word - cap3.doc keywords: microsoft cache: ratiomathematica-144.pdf plain text: ratiomathematica-144.txt item: #64 of 425 id: ratiomathematica-145 author: Pascucci, Fabrizio title: ASPETTI COMBINATORI DELLA LOGICA date: 1996-02-18 words: 6 flesch: 45 summary: Microsoft Word - capitolo intero n 8.doc keywords: microsoft cache: ratiomathematica-145.pdf plain text: ratiomathematica-145.txt item: #65 of 425 id: ratiomathematica-146 author: Vegliò, Francesco title: LA PROGRAMMAZIONE DELLA SPERIMENTAZIONE NELLO SVILUPPO DEI PROCESSI CHIMICI date: 1995-12-18 words: 3 flesch: 62 summary: Microsoft Word - cap4.doc keywords: microsoft cache: ratiomathematica-146.pdf plain text: ratiomathematica-146.txt item: #66 of 425 id: ratiomathematica-148 author: Mercanti, Fabio title: SISTEMI DIGITALI MULTICANALE E TEORIA DELL'INFORMAZIONE I. ENTROPIA, RIDONDANZA E CODIFICA date: 1995-12-18 words: 3 flesch: 62 summary: Microsoft Word - cap5.doc keywords: microsoft cache: ratiomathematica-148.pdf plain text: ratiomathematica-148.txt item: #67 of 425 id: ratiomathematica-149 author: Cerritelli, Luigi; Mercanti, Fabio title: ALGEBRA ASTRATTA E INSEGNAMENTO date: 1996-02-18 words: 6 flesch: 45 summary: Microsoft Word - capitolo intero n 10.doc keywords: microsoft cache: ratiomathematica-149.pdf plain text: ratiomathematica-149.txt item: #68 of 425 id: ratiomathematica-15 author: Maturo, Antonio title: Cooperative Games, Finite Geometries and Hyperstructures date: 2003-02-16 words: 5604 flesch: 74 summary: Keywords Cooperative Games, Finite Geometries, Blocking sets, Quasihypergoups 1. The previous propositions show the importance of the research of blocking sets in a finite projective space. keywords: blocking; game; let; set cache: ratiomathematica-15.pdf plain text: ratiomathematica-15.txt item: #69 of 425 id: ratiomathematica-150 author: Caliò, Franca; Marchetti, Elena title: PRACTICAL ASPECTS IN SOME NOT CLASSICAL METHODS FOR THE NUMERICAL EVALUATION OF CPV- INTEGRALS date: 1995-12-18 words: 3 flesch: 62 summary: Microsoft Word - cap6.doc keywords: microsoft cache: ratiomathematica-150.pdf plain text: ratiomathematica-150.txt item: #70 of 425 id: ratiomathematica-151 author: Mercanti, Fabio; Cerritelli, Luigi; Di Marcello, Vincenzo title: UN NUOVO APPROCCIO ALLA TEORIA DEI SISTEMI DIGITALI MULTICANALE date: 1996-02-18 words: 6 flesch: 45 summary: Microsoft Word - capitolo intero n 11.doc keywords: microsoft cache: ratiomathematica-151.pdf plain text: ratiomathematica-151.txt item: #71 of 425 id: ratiomathematica-152 author: Ferri, Osvaldo; Ferri, Stefania title: su ALCUNI q2 - INSIEMI DI AG(3,q) A TRE CARATTERI RISPETTO AI PIANI date: 1995-12-18 words: 3 flesch: 62 summary: Microsoft Word - cap7.doc keywords: microsoft cache: ratiomathematica-152.pdf plain text: ratiomathematica-152.txt item: #72 of 425 id: ratiomathematica-153 author: Gelsomini, Emma title: UN IPERGRUPPO ASSOCIATO ALL’ INSIEME DELLE MATRICI QUADRATE DI ORDINE N NON SINGOLARI date: 1996-02-18 words: 6 flesch: 45 summary: Microsoft Word - capitolo intero n 12.doc keywords: microsoft cache: ratiomathematica-153.pdf plain text: ratiomathematica-153.txt item: #73 of 425 id: ratiomathematica-154 author: Maturo, Antonio; Renzullo, Loredana title: SU UNA CLASSE DI MODELLI MATEMATICI PER L'URBANISTICA date: 1995-12-18 words: 3 flesch: 62 summary: Microsoft Word - cap8.doc keywords: microsoft cache: ratiomathematica-154.pdf plain text: ratiomathematica-154.txt item: #74 of 425 id: ratiomathematica-155 author: Di Biase, Giuseppe title: WHAT IS INSIDE A PROBABILISTIC EXPERT SYSTEM date: 1995-12-18 words: 3 flesch: 62 summary: Microsoft Word - cap9.doc keywords: microsoft cache: ratiomathematica-155.pdf plain text: ratiomathematica-155.txt item: #75 of 425 id: ratiomathematica-156 author: Freni, Domenico title: UNA NOTA SU GLI IPERGRUPPOIDI CICLICI date: 1995-12-18 words: 3 flesch: 62 summary: Microsoft Word - cap10.doc keywords: microsoft cache: ratiomathematica-156.pdf plain text: ratiomathematica-156.txt item: #76 of 425 id: ratiomathematica-157 author: Biancardi, M.; Gallo, A. title: PERIODIC SOLUTIONS OF A SECOND ORDER EVOLUTIVE VARIATIONAL INEQUALITY date: 1995-12-18 words: 3 flesch: 62 summary: Microsoft Word - cap11.doc keywords: microsoft cache: ratiomathematica-157.pdf plain text: ratiomathematica-157.txt item: #77 of 425 id: ratiomathematica-159 author: Doria, Serena title: IL PROCESSO DI MEMORIZZAZIONE DESCRITTO MEDIANTE IL MODELLO NEURONALE DI HOPFIELD date: 1994-02-18 words: 6 flesch: 45 summary: Microsoft Word - capitolo intero n 1.doc keywords: microsoft cache: ratiomathematica-159.pdf plain text: ratiomathematica-159.txt item: #78 of 425 id: ratiomathematica-160 author: Errigo, Demetrio P. title: ELEMENTI DI TEORIA INGENUA DELLE MATRICI CUBICHE date: 1994-02-18 words: 6 flesch: 45 summary: Microsoft Word - capitolo intero n 2.doc keywords: microsoft cache: ratiomathematica-160.pdf plain text: ratiomathematica-160.txt item: #79 of 425 id: ratiomathematica-161 author: Tosone, Carlo title: CONSIDERAZIONI SUL TEOREMA DI HEINE-PINCHERLE-BOREL date: 1994-02-18 words: 6 flesch: 45 summary: Microsoft Word - capitolo intero n 3.doc keywords: microsoft cache: ratiomathematica-161.pdf plain text: ratiomathematica-161.txt item: #80 of 425 id: ratiomathematica-162 author: Tibiletti, Luis title: CONNECTEDNESS, ARCWISE- CONNECTEDNESS AND CONVEXITY FOR LEVEL-SETS OF MULTIDIMENSIONAL DISTRIBUTION FUNCTIONS date: 1994-02-18 words: 6 flesch: 45 summary: Microsoft Word - capitolo intero n 4.doc keywords: microsoft cache: ratiomathematica-162.pdf plain text: ratiomathematica-162.txt item: #81 of 425 id: ratiomathematica-164 author: Ippoliti, Giovanni; Marconi, Domenico title: SISTEMI AUTOMATICI DI RICONOSCIMENTO PER LE GEOMETRIE DEI CODICI A BARRE date: 1994-02-18 words: 6 flesch: 45 summary: Microsoft Word - capitolo intero n 6.doc keywords: microsoft cache: ratiomathematica-164.pdf plain text: ratiomathematica-164.txt item: #82 of 425 id: ratiomathematica-165 author: Di Gennaro, Fernando; Maiorani, Domenico; Eugeni, Franco title: UN ANTICO MODELLO MATEMATICO PER DIVINAZIONI CONTENUTO IN UNA ENCICLOPEDIA DI FINE SETTECENTO date: 1994-02-18 words: 6 flesch: 45 summary: Microsoft Word - capitolo intero n 7.doc keywords: microsoft cache: ratiomathematica-165.pdf plain text: ratiomathematica-165.txt item: #83 of 425 id: ratiomathematica-166 author: D'Andrea, Silvana title: SU ALCUNE PROBLEMATICHE PER L'INSEGNAMENTO DELLA MATEMATICA IN PRESENZA DI DISABILITA': STRATEGIE PER UN CURRICULUM MINIMO date: 1994-02-18 words: 6 flesch: 45 summary: Microsoft Word - capitolo intero n 8.doc keywords: microsoft cache: ratiomathematica-166.pdf plain text: ratiomathematica-166.txt item: #84 of 425 id: ratiomathematica-167 author: Maturo, Antonio; Di Biase, Giuseppe title: CONSIDERAZIONI PROBABILISTICHE SU ALCUNE STRATEGIE NEI GIOCHI D'AZZARDO date: 1994-02-18 words: 6 flesch: 45 summary: Microsoft Word - capitolo intero n 9.doc keywords: microsoft cache: ratiomathematica-167.pdf plain text: ratiomathematica-167.txt item: #85 of 425 id: ratiomathematica-18 author: Ameri, R.; Hedayati, H.; Bandpey, Z. title: Rough sets applied in sublattices and ideals of lattices date: 2015-12-08 words: 3952 flesch: 87 summary: It is well known, θ = {(a,b) ∈ L × L | f(a) = f(b)} ⊆ L × Let L = {1, 2, ..., 8}, Then (L,∧,∨) is a lattice, where ∀a,b ∈ L, a ∧ b = min{a,b}, a ∨ b = max{a,b}. keywords: aρ(a; rough cache: ratiomathematica-18.pdf plain text: ratiomathematica-18.txt item: #86 of 425 id: ratiomathematica-180 author: Manara, Carlo Felice title: Rappresentazione geometrica di parole date: 1993-02-18 words: 4 flesch: 75 summary: Microsoft Word - R.M.6 cap.8.doc keywords: microsoft cache: ratiomathematica-180.pdf plain text: ratiomathematica-180.txt item: #87 of 425 id: ratiomathematica-184 author: Maturo, Antonio title: MATEMATICA E FIGURINE date: 1994-11-18 words: 4 flesch: 75 summary: Microsoft Word - R.M.7 cap.9.doc keywords: microsoft cache: ratiomathematica-184.pdf plain text: ratiomathematica-184.txt item: #88 of 425 id: ratiomathematica-186 author: Di Mitri, Cosimo; Guido, Cosimo title: A LOCAL PROPERTY OF HAMILTONIAN MOON TOURNAMENTS date: 1992-11-18 words: 4 flesch: 75 summary: Microsoft Word - R.M.5 cap.2.doc keywords: microsoft cache: ratiomathematica-186.pdf plain text: ratiomathematica-186.txt item: #89 of 425 id: ratiomathematica-187 author: Maturo, Antonio; Paccapelo, Fabiola; Renzullo, Loredana title: TEORIA DELLA DIVISIBILITA' E ALGORITMO EUCLIDEO NELL' INSEGNAMENTO NELLE SCUOLE SUPERIORI date: 1994-11-18 words: 4 flesch: 75 summary: Microsoft Word - R.M.7 cap.10.doc keywords: microsoft cache: ratiomathematica-187.pdf plain text: ratiomathematica-187.txt item: #90 of 425 id: ratiomathematica-189 author: Varone, Giuseppina title: CALCOLO DI AREE E VOLUMI PER MEZZO DI SUCCESSIONI DI NUMERI A CASO date: 1994-11-18 words: 4 flesch: 75 summary: Microsoft Word - R.M.7 cap.11.doc keywords: microsoft cache: ratiomathematica-189.pdf plain text: ratiomathematica-189.txt item: #91 of 425 id: ratiomathematica-19 author: Becherová, Oľga title: Application of point method in risk evaluation for railway transport date: 2015-12-08 words: 2257 flesch: 41 summary: Table 5 Final risk range [4] Point value Verbal expression 1 Damage to health and work activity 2 Injury followed by sick leave 3 More serious injury resulting in hospitalization 4 Severe occupational injury with permanent consequences 5 Fatal occupational injury Risk Risk category Point range Safety assessment Safety measures requirement Negligibl e I 1-4 Acceptable safety Taking measures not required Moderate II 5-10 Acceptable risk at increased attention System is classified as safe; improvement can be achieved, redress can be planned Critical III 11-50 Risk cannot be accepted without taking protective measures Safety measures should be taken Undesira ble IV 51-100 Inadequate safety, high possibility of injuries Immediate corrective measures or short-term measures have to be taken Unaccept able V 100-125 Dangerous system, permanent threat of injury Immediate cessation of activity, exclusion from operation Becherová O. 20 2 Point method application while transporting hazardous substances by rail The carriage of hazardous substances by rail accounts for a significant share of total rail freight. Abstract The paper is dealing with risk assessment affecting the hazardous substances shipping by rail; there are identified and assessed risks during the work process. keywords: accidents; method; number; point; rail; risk; transport cache: ratiomathematica-19.pdf plain text: ratiomathematica-19.txt item: #92 of 425 id: ratiomathematica-192 author: Maravalle, M; Simeone, B title: CLUSTERING CON MASSIMA SEPARAZIONE SU UN ALBERO date: 1992-11-18 words: 5 flesch: 83 summary: Microsoft Word - R.M. 5 cap.6.doc keywords: microsoft cache: ratiomathematica-192.pdf plain text: ratiomathematica-192.txt item: #93 of 425 id: ratiomathematica-193 author: Benvenuto, Miryam title: LINGUAGGIO NATURALE, LINGUAGGIO MATEMATICO date: 1994-11-18 words: 4 flesch: 75 summary: Microsoft Word - R.M.7 cap.12.doc keywords: microsoft cache: ratiomathematica-193.pdf plain text: ratiomathematica-193.txt item: #94 of 425 id: ratiomathematica-195 author: Bruno, Raffaele title: MODELLI GEOMETRICI PER Z, Q. date: 1994-11-18 words: 4 flesch: 75 summary: Microsoft Word - R.M.7 cap.13.doc keywords: microsoft cache: ratiomathematica-195.pdf plain text: ratiomathematica-195.txt item: #95 of 425 id: ratiomathematica-197 author: Vincenti, Rita title: A GEOMETRIC INTERPRETATION OF THE FIGUEROA PLANES date: 1992-11-18 words: 4 flesch: 75 summary: Microsoft Word - R.M.5 cap.10.doc keywords: microsoft cache: ratiomathematica-197.pdf plain text: ratiomathematica-197.txt item: #96 of 425 id: ratiomathematica-20 author: Borzooei, R.A.; Varasteh, H.R.; Borna, K. title: Fundamental hoop-algebras date: 2015-12-08 words: 7431 flesch: 90 summary: For any b1,b2 ∈ B. We define the binary operations �B and →B on B by, b1 �B b2 = ϕ(a1 �A a2) and b1 →B b2 = ϕ(a1 →A a2) where b1 = ϕ(a1), b2 = ϕ(a2) and a1,a2 ∈ A. It is easy to show that �B and →B are well-defined. keywords: hoop cache: ratiomathematica-20.pdf plain text: ratiomathematica-20.txt item: #97 of 425 id: ratiomathematica-200 author: D'Andrea, Silvana title: I PROCESSI COGNITIVI DELL’ARITNIETICA IN RUSSEL E PIAGET date: 1994-11-18 words: 4 flesch: 75 summary: Microsoft Word - R.M.7 cap.15.doc keywords: microsoft cache: ratiomathematica-200.pdf plain text: ratiomathematica-200.txt item: #98 of 425 id: ratiomathematica-201 author: Doria, Serena title: SISTEMI DINAMICI CAOTICI: UN ESEMPIO IN CAMPO NEUROBIOLOGICO date: 1994-11-18 words: 4 flesch: 75 summary: Microsoft Word - R.M.7 cap.16.doc keywords: microsoft cache: ratiomathematica-201.pdf plain text: ratiomathematica-201.txt item: #99 of 425 id: ratiomathematica-202 author: Eugeni, Franco; Eugeni, Diana title: IL CODICE DI LEON BATTISTA ALBERTI date: 1994-11-18 words: 4 flesch: 75 summary: Microsoft Word - R.M.7 cap.17.doc keywords: microsoft cache: ratiomathematica-202.pdf plain text: ratiomathematica-202.txt item: #100 of 425 id: ratiomathematica-203 author: Cenci, M; Cerquetti, A.M. title: NON LINEAR EVOLUTIVE MODELS FOR A STOCK-MARKET WlTH VARIABLE FUNDAMENTAL VALUES AND ASYMMETRY OF INFORMATION date: 1992-02-18 words: 3 flesch: 62 summary: Microsoft Word - Cap1.doc keywords: microsoft cache: ratiomathematica-203.pdf plain text: ratiomathematica-203.txt item: #101 of 425 id: ratiomathematica-204 author: Ciampoli, M title: CRITERI DI PROGRAMMAZIONE DELLE ISPEZIONI SULLE COSTRUZIONI ESISTENTI E DI INTERPRETAZIONE DEI RISULTATI SPERIMENTALI date: 1992-02-18 words: 3 flesch: 62 summary: Microsoft Word - Cap2.doc keywords: microsoft cache: ratiomathematica-204.pdf plain text: ratiomathematica-204.txt item: #102 of 425 id: ratiomathematica-205 author: Caravani, Paolo title: A SIMPLE CONSTRUCTIVE PROOF OF VON NEUMANN EQUILIBRIUM date: 1992-04-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-205.pdf plain text: ratiomathematica-205.txt item: #103 of 425 id: ratiomathematica-206 author: Di Biase, Giuseppe; Maturo, Antonio title: CHECKlNG THE RANDOMNESS OF PSEUDORANDOM SEQUENCES FROM A BAYESIAN VIEWPOINT date: 1992-02-18 words: 3 flesch: 62 summary: Microsoft Word - cap3.doc keywords: microsoft cache: ratiomathematica-206.pdf plain text: ratiomathematica-206.txt item: #104 of 425 id: ratiomathematica-207 author: Casolaro, Ferdinando title: IL PROBLEMA DELL'INTEGRAZIONE INDEFINITA date: 1992-04-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-207.pdf plain text: ratiomathematica-207.txt item: #105 of 425 id: ratiomathematica-208 author: Lupini, R; Messia, R.G. title: ON STATIONARY MODES OF NONLINEAR DIELECTRIC SLAB STRUCTURES: A NEW MATHEMATICAL APPROACH date: 1992-02-18 words: 3 flesch: 62 summary: Microsoft Word - cap4.doc keywords: microsoft cache: ratiomathematica-208.pdf plain text: ratiomathematica-208.txt item: #106 of 425 id: ratiomathematica-209 author: Cerasoli, Mauro title: CUMULANTI E INVERSIONI DI MOBIUS date: 1992-04-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-209.pdf plain text: ratiomathematica-209.txt item: #107 of 425 id: ratiomathematica-21 author: Fechová, Erika title: Application of mathematical software in solving the problems of electricity date: 2015-12-08 words: 2798 flesch: 54 summary: One of them is physical problem solution with the support of computer. doi: 10.23755/rm.v29i1.21 1 Introduction Information and communication technologies currently present a set of modern means that are used for preparation, processing and distribution of data and information, but also process control with the aim of achieving more effective results and searching for optimal problem solutions at various fields and areas of human activities [1], [2]. keywords: system;  ;  ;  ;  ;  ;   cache: ratiomathematica-21.pdf plain text: ratiomathematica-21.txt item: #108 of 425 id: ratiomathematica-210 author: Maturo, Antonio title: SU ALCUNE CARATTERIZZAZIONI DELLE SUCCESSIONI DI NUMERI PSEUDOCASUALI OTTENUTE A PARTIRE DA ALGEBRE DI SUPPORTO date: 1992-02-18 words: 3 flesch: 62 summary: Microsoft Word - cap5.doc keywords: microsoft cache: ratiomathematica-210.pdf plain text: ratiomathematica-210.txt item: #109 of 425 id: ratiomathematica-211 author: Mercanti, Fabio title: INTERPRETAZIONE ECONOMICA DEI PREDECATI Dl CANALE IN UNSESTEMA DIGITALE MULTICANALE date: 1992-02-18 words: 3 flesch: 62 summary: Microsoft Word - cap6.doc keywords: microsoft cache: ratiomathematica-211.pdf plain text: ratiomathematica-211.txt item: #110 of 425 id: ratiomathematica-212 author: Peccati, Lorenzo title: ALCUNE OSSERVAZIONI SULLA VALUTAZDNE DELLA CAPACITA' DI UNA FUNZIONE D'UTILITÀ date: 1992-02-18 words: 3 flesch: 62 summary: Microsoft Word - cap7.doc keywords: microsoft cache: ratiomathematica-212.pdf plain text: ratiomathematica-212.txt item: #111 of 425 id: ratiomathematica-213 author: Di Cola, Giulio; Morrea, Tiziana; Pennacchio, Micol title: THE INVERSE POTENTIAL PROBLEM OF ELETTROCARDIOLOGY IN,TERMS OF SOURCES date: 1992-04-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-213.pdf plain text: ratiomathematica-213.txt item: #112 of 425 id: ratiomathematica-214 author: Visini, Giuliano title: CONSIDERAZIONI SUL TEST Z PER GLI INDICI DI MORAN date: 1992-02-18 words: 3 flesch: 62 summary: Microsoft Word - cap8.doc keywords: microsoft cache: ratiomathematica-214.pdf plain text: ratiomathematica-214.txt item: #113 of 425 id: ratiomathematica-215 author: Faccio, Marco; Ferri, Giuseppe title: UN NUOVO ALGORITMO PER LA SOLUZIONE SIMBOLICA E NUMERICA DI UN' AMPIA CLASSE DI MODELLI FISICI date: 1992-04-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-215.pdf plain text: ratiomathematica-215.txt item: #114 of 425 id: ratiomathematica-216 author: Bassi, L; Gamba, P title: UN PROBLEMA TRIDIMENSIONALE DI TRASPORTO FUORI DI UNA SFERA RIFLETTENTE date: 1991-02-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-216.pdf plain text: ratiomathematica-216.txt item: #115 of 425 id: ratiomathematica-217 author: Berardi, Luigia title: APPLICAZIONI DELLA MATEMATICA IN PROBLEMI DI COMUNICAZIONE date: 1991-02-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-217.pdf plain text: ratiomathematica-217.txt item: #116 of 425 id: ratiomathematica-218 author: Giordano, C.; La Forgia, A.; Rodono, L.G. title: ADDITIONAL MONOTONICITY PROPERTIES AND INEQUALITIES FOR THE ZEROS OF BESSEL FUNCTIONS date: 1992-04-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-218.pdf plain text: ratiomathematica-218.txt item: #117 of 425 id: ratiomathematica-219 author: Bonisoli, A; Eugeni, F title: IL PROBLEMA DELLA PROTEZIONE DELL’INFORMAZIONE II. LA GESTIONE E LO SVILUPPO DEI SISTEMI INFORMATIVI: SICUREZZA CONTRO COSTO date: 1991-02-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-219.pdf plain text: ratiomathematica-219.txt item: #118 of 425 id: ratiomathematica-22 author: Mohammadzadeh, E.; Nozari, T. title: Solvable groups derived from fuzzy hypergroups date: 2015-12-08 words: 4188 flesch: 88 summary: then there exists y ∈ S, such that µ(y) > 0 and xρy. and so by r ∈ S = S ◦v there exist t ∈ S; (tv)(r) > 0. keywords: fuzzy; relation cache: ratiomathematica-22.pdf plain text: ratiomathematica-22.txt item: #119 of 425 id: ratiomathematica-220 author: Cera, Nisida; Maturo, Antonio title: ANALISI DELLA BONTÀ DI ALCUNI GENERATORI DI NUMERI PSEUDOCASUALI PER LA CIFRATURA DEI MESSAGGI E LA SIMULAZIONE date: 1991-02-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-220.pdf plain text: ratiomathematica-220.txt item: #120 of 425 id: ratiomathematica-221 author: La Forgia, Andrea title: INEQUALITIES FOR SOME SPECIAL FUNCTIONS date: 1992-04-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-221.pdf plain text: ratiomathematica-221.txt item: #121 of 425 id: ratiomathematica-222 author: Di Biase, Giuseppe; Maturo, Antonio title: CONFRONTO FRA INFERENZA BAYESIANA E TEST CLASSICI PER L’ANALISI DI SUCCESSIONI DI NUMERI PSEUDOCASUALI date: 1991-02-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-222.pdf plain text: ratiomathematica-222.txt item: #122 of 425 id: ratiomathematica-223 author: Maracchia, Silvio title: MATEMATICA APPLICATA NELL'ANTICA GRECIA date: 1992-04-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-223.pdf plain text: ratiomathematica-223.txt item: #123 of 425 id: ratiomathematica-224 author: Gallegati, Mauro; Gardini, Laura title: UN MODELLO NEOKEYNESIANO DI EQUILIBRIO date: 1991-02-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-224.pdf plain text: ratiomathematica-224.txt item: #124 of 425 id: ratiomathematica-225 author: Innamorati, Stefano title: SULLE COALIZIONI IN TEORIA DEI GIOCHI date: 1991-02-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-225.pdf plain text: ratiomathematica-225.txt item: #125 of 425 id: ratiomathematica-226 author: Maravalle, M. title: CLUSTERING SU GRAFO date: 1992-04-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-226.pdf plain text: ratiomathematica-226.txt item: #126 of 425 id: ratiomathematica-227 author: Innamorati, Stefano; Maturo, Antonio title: ON IRREDUCIBLE BLOCKING SETS IN PROJECTIVE PLANES date: 1991-02-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-227.pdf plain text: ratiomathematica-227.txt item: #127 of 425 id: ratiomathematica-228 author: Melzi, Giovanni title: SISTEMI DINAMICI DIGITALI E LORO POSSIBILI APPLICAZIONI date: 1991-02-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-228.pdf plain text: ratiomathematica-228.txt item: #128 of 425 id: ratiomathematica-229 author: Maturo, Antonio; Varone, Giuseppina title: SU ALCUNI METODI PER RAZIONALIZZARE LE SCELTE FRA PIU' ALTERNATIVE VALUTATE CON CRITERI MULTIPLI QUANTITATIVI date: 1992-04-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-229.pdf plain text: ratiomathematica-229.txt item: #129 of 425 id: ratiomathematica-23 author: Rezaei, Akbar; Borumand Saeid, Arsham; Smarandache, Florentin title: Neutrosophic filters in BE-algebras date: 2015-12-08 words: 3840 flesch: 85 summary: [11] If X is a commutative BE-algebra, then for all x, y ∈ X, x∗y = 1 and y ∗x = 1 imply x = y. Let x, y ∈ X be such that x, x ∗ y ∈ U(A; t), for any t ∈ [0, 1]. keywords: neutrosophic cache: ratiomathematica-23.pdf plain text: ratiomathematica-23.txt item: #130 of 425 id: ratiomathematica-231 author: Stefanini, Luciana title: UN PROBLEMA DI OTTIMIZZAZIONE NON-SMOOTH IN STATISTICA ROBUSTA date: 1991-02-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-231.pdf plain text: ratiomathematica-231.txt item: #131 of 425 id: ratiomathematica-232 author: Messi, Giorgio title: VIRUS INFORMATICI: NATURA E RIMEDI date: 1992-04-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-232.pdf plain text: ratiomathematica-232.txt item: #132 of 425 id: ratiomathematica-234 author: Scozzafava, Tommaso title: CALCULATION OF THE POLARIZATION PARAMETERS FOR ELECTROMAGNETIC FIELDS date: 1992-04-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-234.pdf plain text: ratiomathematica-234.txt item: #133 of 425 id: ratiomathematica-235 author: Tallini, Luca title: SUI CODICI UNIDIREZIONALI date: 1992-04-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-235.pdf plain text: ratiomathematica-235.txt item: #134 of 425 id: ratiomathematica-236 author: Toro, L.; Vegliò, F. title: DETERMINAZIONE DEL PIANO SPERIMENTALE DI UNA SPERIMENTAZIONE FATTORIALE A 2 E 3 LIVELLI CON CONFUSIONE E FRAZIONATA date: 1992-04-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-236.pdf plain text: ratiomathematica-236.txt item: #135 of 425 id: ratiomathematica-237 author: Visini, Giuliano title: SULL'AUTOCORRELAZIONE SPAZIALE DI FENOMENI QUALITATIVI date: 1992-04-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-237.pdf plain text: ratiomathematica-237.txt item: #136 of 425 id: ratiomathematica-238 author: Barigelli, Bruno; Olivieri, Luca; Viola, Clara title: I NUMERI DI FIBONACCI E LE EQUAZIONI DIFFERENZIALI date: 1992-04-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-238.pdf plain text: ratiomathematica-238.txt item: #137 of 425 id: ratiomathematica-239 author: Russo Spena, Francesco; Vacca, Andrea title: UNA FORMULAZIONE VARIAZIONALE COMPLETAMENTARE DEL PROBLEMA DI VERIFICA DI RETI DI DISTRIBUZIONE DI FLUIDO INCOMPRESSIBILE date: 1992-04-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-239.pdf plain text: ratiomathematica-239.txt item: #138 of 425 id: ratiomathematica-24 author: Potucek, Radovan title: Sums of generalized convergent harmonic series with eight periodically repeated numerators date: 2015-07-01 words: 3803 flesch: 80 summary: After application the relations (6), where √ 2D + C = 1 + √ 2a + b−d− √ 2e−f 4 √ 2 , 8 Sums of generalized convergent harmonic series with eight numerators √ 2F −E = 1− √ 2a + b−d + √ 2e−f 4 √ 2 , we get s(x) x2 +1 dx + B ∫ 1 x2 +1 dx + ∫ C(2x− √ 2)/2+D+C √ 2/2 x2− √ 2x+1 dx + + ∫ E(2x+ √ 2)/2+F −E √ 2/2 x2 + √ 2x+1 dx + G ln |x+1|+ keywords: series cache: ratiomathematica-24.pdf plain text: ratiomathematica-24.txt item: #139 of 425 id: ratiomathematica-240 author: Adorisio, Ilio; Berardi, Luigia title: Funzioni di Costo Minimo e di Ricavo Massimo come Coniugate Parziali della Funzione di Profitto e Conseguenze date: 1990-02-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-240.pdf plain text: ratiomathematica-240.txt item: #140 of 425 id: ratiomathematica-241 author: Ambrisi, Emilio; Eugeni, Franco title: ll Problema della Protezione dell’Informazione, I: Cenni Storici e Metodi Statistici perla Decrittazione di Sistemi di Cifratura Classici date: 1990-02-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-241.pdf plain text: ratiomathematica-241.txt item: #141 of 425 id: ratiomathematica-242 author: Beutelspached, Albrecht; Rosenbaum, Ute title: Geometric Authentication Systems date: 1990-02-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-242.pdf plain text: ratiomathematica-242.txt item: #142 of 425 id: ratiomathematica-243 author: Castagnoli, Erio title: Qualche Riflessione sull’ Utilità Attesa date: 1990-02-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-243.pdf plain text: ratiomathematica-243.txt item: #143 of 425 id: ratiomathematica-244 author: Colagrande, Vittorio; Di Biase, Giuseppe title: Interpretazione dei risultati di un campionamento statistico con approccio bayesiano: simulazione su calcolatore. date: 1990-02-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-244.pdf plain text: ratiomathematica-244.txt item: #144 of 425 id: ratiomathematica-245 author: Di Biase, Giuseppe; Maturo, Antonio title: Studio analitico diun modello matematico per le strutture in muratura. date: 1990-02-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-245.pdf plain text: ratiomathematica-245.txt item: #145 of 425 id: ratiomathematica-246 author: Ippoliti, Giovanni; Marconi, Guglielmo; Mataloni, Giovanni title: Un’Indagine suII’Uso dei Sistemi di Lettura (Codici a Barre) nel Settore del Commercio date: 1990-02-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-246.pdf plain text: ratiomathematica-246.txt item: #146 of 425 id: ratiomathematica-247 author: Maturo, Antonio title: Numeri pseudocasuali ottenuti a partire da successioni in algebre finite su Zm. date: 1990-02-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-247.pdf plain text: ratiomathematica-247.txt item: #147 of 425 id: ratiomathematica-248 author: Moro, Giovanni title: Analisi Crittografica e Ricerca Scientifica date: 1990-02-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-248.pdf plain text: ratiomathematica-248.txt item: #148 of 425 id: ratiomathematica-249 author: Peccati, Lorenzo title: Dl Tassi e di Tasse date: 1990-02-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-249.pdf plain text: ratiomathematica-249.txt item: #149 of 425 id: ratiomathematica-25 author: Cruz Rambaud, Salvador; Maturo, Fabrizio; Sánchez, Ana María title: Approach of the value of an annuity when non-central moments of the capitalization factor are known: an R application with interest rates following normal and beta distributions date: 2015-07-01 words: 3986 flesch: 54 summary: (1) Approach of the value of an annuity when non-central moments of the capitalization factor are known: an R application with interest rates following normal and beta distributions 17 On the other hand, the final expected value of an n-payment annuity, with payments of 1 unit each made at the beginning of every year (annuity-due), valued at the rate X, would be: being )( r r UE the moment of order r, with respect to the origin, of the random variable U; hence, if the random variable is discrete, it adopts the following expression In the continuous case, the expression of the moment of order r is: for all values of r, being )(uf the density function of the random variable U. As indicated, this paper proposes a mathematical expression of the final value of an annuity, immediate or due; specifically, we compute it using a random interest rate and suppose that the non-central moments of the capitalization factor are known. keywords: annuity; moments; value cache: ratiomathematica-25.pdf plain text: ratiomathematica-25.txt item: #150 of 425 id: ratiomathematica-250 author: Russo Spena, Aniello; Todisco, Maria Teresa title: SULLA INTEGRAZION'E DELLA EQUAZIONE SEMIPLIFICATA DEL MOTO VARIO DI UNA FALDA FREATICA. date: 1990-02-18 words: 3 flesch: 34 summary: Microsoft Word - Documento1 keywords: microsoft cache: ratiomathematica-250.pdf plain text: ratiomathematica-250.txt item: #151 of 425 id: ratiomathematica-26 author: Longo, Angelarosa; Ventre, Viviana title: Influence of information on behavioral effects in decision processes date: 2015-07-01 words: 5261 flesch: 49 summary: RATIO MATHEMATICA 28 (2015) 31-43 ISSN:1592-7415 Influence of information on behavioral effects in decision processes Angelarosa Longo, Viviana Ventre Dipartimento di Diritto, Economia, Management e Metodi Quantitativi Università degli Studi del Sannio, Benevento, Italy e-mail address ventre@unisannio.it Abstract Rational models in decision processes are marked out by many anoma- lies, caused by behavioral issues. 32 Influence of information on behavioral effects in decision processes 2 Effects of behavioral aspects: violations of tradi- tional Discount Utility Model Operational Research (OR) has modeled human behavior in intertemporal choice in terms of DU model, which assumes an exponential temporal discount- ing function and a constant discount rate: this represents the individual’s pure rate of time preference. keywords: agent; behavior; decision; discount; effect; information; model; problem; process cache: ratiomathematica-26.pdf plain text: ratiomathematica-26.txt item: #152 of 425 id: ratiomathematica-27 author: Paolone, Francesco; De Luca, Francesco; Prather-Kinsey, Jenice title: The Impact of the Financial Crisis on Earnings Management: Empirical Evidence from the Top 5,000 Non-Listed Stock Italian Companies date: 2015-07-01 words: 8626 flesch: 66 summary: -3,32 -3,58 -3,45 -3,04 -2,74 -2,46 -2,33 -2,64 22 COSTA CROCIERE S.P.A. 4669 -3,67 -3,88 -3,84 -2,99 -3,59 -2,07 -2,19 -2,50 -2,49 -2,31 23 LOGISTA ITALIA S.P.A. 4635 -2,63 -2,75 -2,72 -2,55 -2,66 -2,63 -2,59 -3,16 -1,02 -2,35 24 AUCHAN S.P.A. 4791 . -2,06 -2,09 -4,68 -2,95 5 AU S.P.A. 3510 -2,28 -2,49 -2,14 -2,33 -2,31 -2,80 -2,75 -2,57 -1,90 -2,50 6 ENEL PRODUZIONE S.P.A. 3511 -3,46 -3,27 -3,52 -3,49 -3,43 -3,18 -3,36 -2,71 -2,58 -2,96 7 ENEL DISTRIBUZIONE S.P.A. 3510 -2,25 -2,96 -2,74 -2,87 -2,71 -4,23 -2,94 . . keywords: accounting; beneish; companies; crisis; crisis period; earnings; earnings management; firms; impact; italia; management; manipulation; period; pre; probability; revenues; s.p.a; sales; spa cache: ratiomathematica-27.pdf plain text: ratiomathematica-27.txt item: #153 of 425 id: ratiomathematica-28 author: Corsi, Christian; Di Berardino, Daniela; Di Cimbrini, Tiziana title: Beneish M-score and detection of earnings management in Italian SMEs date: 2015-07-01 words: 7497 flesch: 52 summary: Approach of the value of a rent when non-central moments of the capitalization factor are known: an R application with interest rates following normal and beta distributions RATIO MATHEMATICA 28 (2015) 65-83 ISSN: 1592-7415 65 Beneish M-score and detection of earnings management in Italian SMEs Christian Corsi a , Daniela Di Berardino b , Tiziana Di Cimbrini c a Faculty of Communication Sciences, University of Teramo, Italy, ccorsi@unite.it b Department of Management and Business Administration, University of Chieti-Pescara, Italy, daniela.diberardino@unich.it c Faculty of Political Sciences, University of Teramo, Italy, tdicimbrini@unite.it Abstract Accounting literature on the reliability of financial information presents several mathematical models whose purpose is to identify the existence of values manipulations. The phenomenon is described as earnings management and presents a broad discussion concerning the search for suitable models to measure the distortions in values. keywords: accounting; accruals; beneish; business; earnings; earnings management; firms; journal; management; model; offs; research; spin; university; vol cache: ratiomathematica-28.pdf plain text: ratiomathematica-28.txt item: #154 of 425 id: ratiomathematica-29 author: Aggarwal, Sugandha; Gupta, Anshu; Jha, P.C. title: Multi-criteria media mix decision model for advertising multiple product with segment specific and mass media date: 2014-12-14 words: 10099 flesch: 85 summary: Media planning models discussed in the liter- ature largely focus on single products with limited studies related to the multi-product media planning. Very limited research has investigated media planning model for multiple products jointly keywords: advertising; fp op; media; model; product; reach; − − cache: ratiomathematica-29.pdf plain text: ratiomathematica-29.txt item: #155 of 425 id: ratiomathematica-316 author: Olivieri, Mariagrazia; Squillante, Massimo; Ventre, Viviana title: Information and Intertemporal Choices in Multi-Agent Decision Problems date: 2016-12-30 words: 7461 flesch: 51 summary: Analyzing this type of decision problem in long time, we note that the influence of the psychological aspects leads to the same conclusion of the theory of games, namely the impossibility of obtaining cooperation over time, but in a different way: according to the theory of games because the dominant strategy prevails, according to our analysis because the doers will divert to their preferences. Published on: 28-02-2017 doi: 10.23755/rm.v31i0.316 © Olivieri et al. Abstract Psychological evidences of impulsivity and false consensus effect lead results far from rationality. keywords: agent; choice; consensus; decision; discount; effect; function; model; multi; time; utility cache: ratiomathematica-316.pdf plain text: ratiomathematica-316.txt item: #156 of 425 id: ratiomathematica-317 author: Cruz Rambaud, Salvador; Sánchez Pérez, Ana María title: Valuation of Barrier Options with the Binomial Pricing Model date: 2016-12-30 words: 2987 flesch: 58 summary: Keywords: barrier options; exotic options; barrier option cap; binomial model. Below the different types of barrier options are explained. keywords: asset; barrier; cap; level; option; price cache: ratiomathematica-317.pdf plain text: ratiomathematica-317.txt item: #157 of 425 id: ratiomathematica-318 author: Di Martino, Ferdinando; Sessa, Salvatore title: Max-Min Fuzzy Relation Equations for a Problem of Spatial Analysis date: 2016-12-30 words: 9724 flesch: 77 summary: o o u tp u t v a ri a b le X M e a n 1 X M e a n 2 X M e a n 3 X M e a n 4 X M e a n 5 X M e a n 6 X M e a n 7 X M e a n 8 X M e a n 9 X M e a n 1 0 X M e a n 1 1 X M e a n 1 2 o1 low low low high low low low high low low low high o2 low low low mea n low low low mea n low low low mea n o3 low low low low low low low low low low low low o4 low m e a n low m e [...,...] ],[ ],[ 22 11 in t                nn erva l ba ba ba X where [aj,bj]  keywords: equations; low; mean; xxxx ;  ;  ;  ;  ;  ;   cache: ratiomathematica-318.pdf plain text: ratiomathematica-318.txt item: #158 of 425 id: ratiomathematica-319 author: Yau, Muhammad A.; Rahman, Bootan title: A Delayed Mathematical Model to break the life cycle of Anopheles Mosquito date: 2016-12-30 words: 4422 flesch: 69 summary: [28] I. W. Sherman, Malaria: Parasite Biology, Pathogenesis, and Protection, (ASM Press,1998) 30. 91 Muhammad A. Yau and Bootan Rahman [29] S. Sainz-Elipe, J. Latorre, R. Escosa, M. Masia, M. Fuentes, S. Mas-Coma, and M. Bargues, Malaria Resurgence Risk in Southern Europe: Climate Assessment in an HistoricallyEendemic Area of Rice Fields at the Mediter- ranean Shore of Spain, Malaria Journal 9, 221-236 (2010). + η µ2 + µ2γ + η µρ + η γ µ) , q0 = ν, q1 = ν (ρ + γ + η + 3µ) , q2 = ν (µ (ρ + γ + η + 2µ) keywords: cycle; life; malaria; model; mosquito cache: ratiomathematica-319.pdf plain text: ratiomathematica-319.txt item: #159 of 425 id: ratiomathematica-32 author: Baralis, George H. title: The views of primary education teachers on the verification of multiplication date: 2014-12-14 words: 3544 flesch: 53 summary: 1 Introduction University education and continuous training of primary school teachers must include the essential scientific and technological knowledge which will enable them to contribute to education promotion taking into account the 49 George H. Baralis added value of their pedagogical role and practices. However, due 50 The views of primary education teachers on the verification of multiplication to the fact that multiplication has its own internal structure and organization, it can also be considered as an independent operation. keywords: multiplication; number; teachers; verification cache: ratiomathematica-32.pdf plain text: ratiomathematica-32.txt item: #160 of 425 id: ratiomathematica-321 author: Vougiouklis, Thomas; Vougiouklis, Souzana title: Helix-Hopes on Finite Hyperfields date: 2016-12-30 words: 4529 flesch: 76 summary: t. We use cut-projections on all types of matrices to define sums and products. Therefore we have (Asn)st = (Amt)st = Ast. Let A=(aij)Mmn be matrix and s,tN such that 1sm, 1tn. keywords: group; helix; hope; matrices; matrix; set; vougiouklis cache: ratiomathematica-321.pdf plain text: ratiomathematica-321.txt item: #161 of 425 id: ratiomathematica-322 author: Casolaro, Ferdinando; Cirillo, Luca; Prosperi, Raffaele title: Groups of Transformations with a Finite Number of Isometries: the Cases of Tetrahedron and Cube date: 2016-12-30 words: 4156 flesch: 54 summary: A substitution is associated with each of these symmetries - With symmetry about the plane ABM1, with M1 medium point of CD, the following substitution is associated: - With symmetry about the plane ACM2, with M2 medium point of BD, the following substitution is associated: - With symmetry about the plane ADM3, with M3 medium point of BC, the following substitution is associated: - With symmetry about the plane BCM4, with M4 medium point of AD, the following substitution is associated: Groups of Transformations with a Finite Number of Isometries: the Cases of Tetrahedron and Cube 99 - With symmetry about the plane BDM5, with M5 medium point of AC, the following substitution is associated: - With symmetry about the plane CDM6, with M6 medium point of AB, the following substitution is associated: It is observed that the two sets of isometries described in points a) and b) each supplemented with the identity are closed about to the product. Isometries of Cube Some examples of finite groups of isometries can be had considering all isometries leaving globally invariant a cube (A. Morelli, 1989). keywords: hgfedcba; isometries; relative; substitution; symmetry;  ;  ;   cache: ratiomathematica-322.pdf plain text: ratiomathematica-322.txt item: #162 of 425 id: ratiomathematica-325 author: Onar, Serkan; Yavuz, Sanem; Ersoy, Bayram Alì title: Soft Γ-Modules date: 2017-07-30 words: 7906 flesch: 85 summary: Keywords: soft set; soft module; Γ- ring; Γ -module; soft Γ- module; soft Γ -module homomorphism; soft Γ -module isomorphism; soft Γ -exactness. [10] presented the notion of soft set and soft module. keywords: let; γ−module cache: ratiomathematica-325.pdf plain text: ratiomathematica-325.txt item: #163 of 425 id: ratiomathematica-33 author: Rohtagi, Barkha; Sharma, Bhu Dev title: On weights of 2-repeated bursts date: 2014-12-14 words: 2591 flesch: 75 summary: The notion of repeated burst was introduced by Berardi, Dass and Verma (2009). Dass, Garg and Zannetti (2008) introduced a different type of repeated burst, termed as repeated burst of length b(fixed). keywords: burst; length cache: ratiomathematica-33.pdf plain text: ratiomathematica-33.txt item: #164 of 425 id: ratiomathematica-330 author: Kumar, Manoj; Bist, Vikas; Kumar, Man Inder title: Some Improved Mixed Regression Estimators and their Comparison when Disturbance Terms follow Multivariate T-Distribution date: 2017-07-30 words: 3237 flesch: 66 summary: The asymptotic expression for the bias vector, mean squared error matrix and risk function of SMR estimator, up to order o(σ4) of approximations are given as B(bSMR) = 0 Abstract The Mean square error matrices, bias vector and risk functions of pro- posed improved mixed regression estimators are obtained by employing the small disturbance approximation technique under the condition, when dis- turbance terms follows multivariate t-distribution. keywords: dominance; estimators; n−p; regression cache: ratiomathematica-330.pdf plain text: ratiomathematica-330.txt item: #165 of 425 id: ratiomathematica-332 author: Nath, Prem; Singh, Dhiraj Kumar title: On a Functional Equation Related to Information Theory date: 2017-07-30 words: 4143 flesch: 91 summary: ,qm) ∈ Γm, λ 6= 0, λ ∈ R, fij : I → R, Keywords: Functional equation; additive mapping; multiplicative mapping. keywords: equation; i=1 cache: ratiomathematica-332.pdf plain text: ratiomathematica-332.txt item: #166 of 425 id: ratiomathematica-333 author: Hošková-Mayerová, Šárka title: Quasi-Order Hypergroups and T-Hypergroups date: 2017-07-30 words: 2672 flesch: 65 summary: In the paper [2] special types of hypergroups, so called quasi-order hypergroups (QOHG) and order hypergroups (OHG), were introduced (cf. [13] Š. Hošková, Representation of quasi-order hypergroups, Global Journal of Pure and Applied Mathematics (GJPAM), Vol.1 No. 2, 173–176, India, (2005). keywords: hypergroup; order; quasi cache: ratiomathematica-333.pdf plain text: ratiomathematica-333.txt item: #167 of 425 id: ratiomathematica-335 author: Monaco, Guglielmo; Fedullo, Aniello title: Teaching Least Squares in Matrix Notation date: 2017-07-30 words: 3346 flesch: 69 summary: 4 Basic Applications 4.1 (Weighted) mean The model y = β1 + ε has an n× 1 matrix of relative regressors, whose i-th element is qi1 = w 1 2 i Application of eq. 7 soon gives as the best fit parameter the weighted mean β̂ = V Qz = ∑ i wiyi∑ i wi = ȳw and its variance is the sum of the weights: QV = V QTIQV = V, where I denotes the identity matrix. keywords: matrix; squares; sxx cache: ratiomathematica-335.pdf plain text: ratiomathematica-335.txt item: #168 of 425 id: ratiomathematica-34 author: Potucek, Radovan title: The sum of the series of reciprocals of the cubic polynomials with triple non-positive integer root date: 2014-12-14 words: 3194 flesch: 74 summary: We use on the one hand an approximate evaluation of the sum s(a,a,a,t) = t∑ k=1 1 (k −a)3 , where t = 106, and formula (12) for approximate evaluation sum s(a,a,a), and on the other hand formulas (7) and (10) for evaluation the sum s(a,a,a) The sequence of partial sums {sn} associated to a series ∞∑ k=1 ak is defined for each n 69 Radovan Pot̊uček as the sum sn keywords: k=1 cache: ratiomathematica-34.pdf plain text: ratiomathematica-34.txt item: #169 of 425 id: ratiomathematica-350 author: Estaji, Ali Akbar; Bayati, Fereshteh title: On Rough Sets and Hyperlattices date: 2018-07-07 words: 6064 flesch: 89 summary: µ is a hyper fuzzy ideal of L if, for all x,y ∈ L, (a) ∧ a∈x∨y µ(a) ≥ µ(x) ∧µ(y). 18 On Rough Sets and Hyperlattices 2. µ is a hyper fuzzy filter of L if, for all x,y ∈ L, (a) µ(x∧y) ≥ µ(x) ∧µ(y). keywords: hyper cache: ratiomathematica-350.pdf plain text: ratiomathematica-350.txt item: #170 of 425 id: ratiomathematica-36 author: Ventre, Viviana title: The intertemporal choice behavior: the role of emotions in a multiagent decision problem date: 2014-12-14 words: 6862 flesch: 51 summary: Decision maker preferences are inconsistent and change over time, be- cause normal people possess anticipatory indices of somatic states, that rep- resent unconscious biases that are linked to prior experiences with reward and punishment. The result is linked with the analysis of false consensus effect in cooperative and non-cooperative decision problem. keywords: behavior; consensus; decision; discount; discounting; effect; emotions; information; model; time cache: ratiomathematica-36.pdf plain text: ratiomathematica-36.txt item: #171 of 425 id: ratiomathematica-37 author: Ameri, R.; Moradian, R.; Borzooei, R. A. title: Rough Set Theory Applied To Hyper BCK-Algebra date: 2014-06-30 words: 5962 flesch: 92 summary: Since J is a weak hyper BCK-ideal and y ∈ J, obviously we have x Ib and so y ∈ a◦b ⊆ A◦B. Then y ∈ A◦B and so Iz ⊆ keywords: apri; hyper cache: ratiomathematica-37.pdf plain text: ratiomathematica-37.txt item: #172 of 425 id: ratiomathematica-372 author: Maturo, Antonio; Maturo, Fabrizio title: On Some Applications of the Vougiouklis Hyperstructures to Probability Theory date: 2017-12-28 words: 6202 flesch: 56 summary: Maturo A., (1997b), Conditional events, conditional probabilities and hyperstructures, in Proceedings EUFIT ’97, September 8-11, pp. 1 and 2, Einaudi, Torino Di Gennaro F., Maturo A., (2002), La teoria delle iperstrutture: un efficace strumento per una visione unitaria di algebra e geometria, Periodico di Matematiche, Serie VIII, Vol 2, n. 4, 5-16 Doria S., Maturo A., (1995), A hyperstructure of conditional events for artificial intelligence, in Mathematical models for handling partial knowledge in artificial intelligence, Plenum press, New York, pp.201-208, (1995). keywords: events; hyperstructures; join; let; maturo; probability; vougiouklis cache: ratiomathematica-372.pdf plain text: ratiomathematica-372.txt item: #173 of 425 id: ratiomathematica-374 author: Santilli Ruggero, Maria; Vougiouklis, Thomas title: Hyperstructures in Lie-Santilli Admissibility and Iso-Theories date: 2017-12-28 words: 5411 flesch: 74 summary: In the above cases the fundamental relation �* is the smallest equivalence such that the quotient V/�* is a vector space over the fundamental field F/γ*. Let (H, ·), (H,∗) be Hv-semigroups defined on the same set H. (·) is called smaller than (∗), and (∗) greater than (·), iff there exists an f ∈ Aut(H,∗) such that xy ⊂ f(x∗y),∀x,y ∈ H Then we write · ≤ ∗ and we say that (H,∗) contains (H, ·). x∂y = {f(x) ·y,x ·f(y)},∀x,y ∈ G. (resp.x∂y = (f(x) ·y)∪ (x ·f(y),∀x,y ∈ G) keywords: hyperstructures; lie; santilli; theory; vougiouklis cache: ratiomathematica-374.pdf plain text: ratiomathematica-374.txt item: #174 of 425 id: ratiomathematica-376 author: Nikolaidou, Pipina title: Multiple Ways of Processing in Questionnaires date: 2017-12-28 words: 3119 flesch: 65 summary: T. Vougiouklis introduced the γ* and �* relations, which are defined, in Hv-rings and Hv-vector spaces, respectively [17]. [6] S. Hoskova, Hv-structure is fifteen, Proc. of 4th International mathe- matical workshop FAST VUT Brno, Czech Republic, (2005), 55-57, http://math.fce.vutbr.cz/pribyl/workshop2005/prispevky/Hoskova.pdf [7] P. Kambaki-Vougioukli, A., Karakos, N. Lygeros and T. Vougiouklis, Fuzzy instead of discrete, Annals of Fuzzy Math. and Informatics (AFMI), V.2, N.1, (2011), 81-89. keywords: bar; question; segments; vougiouklis cache: ratiomathematica-376.pdf plain text: ratiomathematica-376.txt item: #175 of 425 id: ratiomathematica-38 author: Estaji, A. A.; Estaji, A. As.; Khorasani, A. S.; Baghdari, S. title: On multiplication Γ-modules date: 2014-06-30 words: 7928 flesch: 89 summary: A Γ-ring M is called commutative, if for any x,y ∈ M and γ ∈ Γ, we have xγy = yγx. Thus, we can pick a P to be maximal element of M. Let x,y ∈ M and 〈x〉Γ〈y〉 ⊆ P . keywords: ideal; module; multiplication; proposition; ring; submodule cache: ratiomathematica-38.pdf plain text: ratiomathematica-38.txt item: #176 of 425 id: ratiomathematica-380 author: Davvaz, Bijan title: Vougiouklis Contributions in the Field of Algebraic Hyperstructures date: 2017-12-28 words: 4672 flesch: 71 summary: ∈ H} is the diagonal relation on H. Denote by β∗ the transitive closure of β. such that x ∈ ∑n i=1( ∏ki j=1 xij) and y ∈ ∑n i=1 Aσ(i), where Ai = ∏ki j=1 xiσi(j). keywords: hyperstructures; relation; vougiouklis cache: ratiomathematica-380.pdf plain text: ratiomathematica-380.txt item: #177 of 425 id: ratiomathematica-382 author: Dramalidis, Achilles title: Special Classes of H_b-Matrices date: 2017-12-28 words: 4281 flesch: 82 summary: The element a′ ∈ H is called left inverse of the element a ∈ H if e ∈ a′a, where e unit element (left or right) and it is called right inverse if e ∈ aa′. If e ∈ H × H → P(H) −{∅} which satisfies the associative law: (xy)z = x(yz), for all x,y,z ∈ H and the reproduction axiom: xH = Hx = H, for all x ∈ H. keywords: matrices cache: ratiomathematica-382.pdf plain text: ratiomathematica-382.txt item: #178 of 425 id: ratiomathematica-384 author: Corsini, Piergiulio title: Some Remarks on Hyperstructures their Connections with Fuzzy Sets and Extensions to Weak Structures date: 2017-12-28 words: 3861 flesch: 65 summary: [24] Corsini P., HX-hypergroups associated with the direct products of some Z/nZ, accepted by Algebraic Structures and their Applicaations, 2016 [28] Corsini P., Cristea I., Fuzzy grade of i.p.s. hypergroups of order 7, Iran J. of Fuzzy Systems, 1 (2004) [29] Corsini P., Cristea I., Fuzzy sets and non complete 1-hypergroups, An. St. Univ. keywords: corsini; fuzzy; hypergroups; journal; mathematics; sets cache: ratiomathematica-384.pdf plain text: ratiomathematica-384.txt item: #179 of 425 id: ratiomathematica-385 author: Vougioukli, Souzana; Vougiouklis, Thomas title: Helix-Hopes on S-Helix Matrices date: 2017-12-28 words: 4482 flesch: 84 summary: Thus a matrix A = (aκλ) ∈ Mm×n,m < n is a cut-helix matrix if we have aκλ = aκλ,∀κλ ∈ N−{0}. ∈ H must exist elements aij ∈ H,i,j ∈ {1, . . keywords: aij; helix; matrices; matrix; mm×n; vougiouklis cache: ratiomathematica-385.pdf plain text: ratiomathematica-385.txt item: #180 of 425 id: ratiomathematica-386 author: Vougiouklis, Thomas title: H_v-Fields, h/v-Fields date: 2017-12-28 words: 8012 flesch: 79 summary: H. We extend the (·) into H = H ∪{v} by: x ·v = v ·x = v,∀x ∈ H, and H. We extend the (·) into H = H ∪{v} as follows: keywords: fields; group; vougiouklis cache: ratiomathematica-386.pdf plain text: ratiomathematica-386.txt item: #181 of 425 id: ratiomathematica-387 author: Markos, Angelos title: A Fuzzy Coding Approach to Data Processing Using the Bar date: 2017-12-28 words: 3854 flesch: 64 summary: Section 3 offers a brief introduction to Correspondence Analysis applied on fuzzy coded data. Biplots of fuzzy coded data. keywords: analysis; bar; categories; coding; data; functions; scale; variable cache: ratiomathematica-387.pdf plain text: ratiomathematica-387.txt item: #182 of 425 id: ratiomathematica-388 author: Antampoufis, Nikolaos; Hosková-Mayerová, Sarka title: A Brief Survey on the two Different Approaches of Fundamental Equivalence Relations on Hyperstructures date: 2017-12-28 words: 4641 flesch: 60 summary: Let V be a Hv-vector space over a Hv-field R. The relation ε∗ on V is called fundamental equivalence relation if it is the smallest equivalence relation on V such that the quotient set V/ε∗ is a vector space over the field R/γ∗, called fundamental vector space of V over R. 4 Fundamental classes Searching for the classes of fundamental equivalence relations is a central question in studying the fundamental structures derived from hyperstructures. Fundamental equivalence relations link hyperstructure theory to the theory of corresponding classical structures. keywords: definition; equivalence; hyperstructures; relation; vougiouklis cache: ratiomathematica-388.pdf plain text: ratiomathematica-388.txt item: #183 of 425 id: ratiomathematica-389 author: Hosková-Mayerová, Sarka title: An Overview of Topological and Fuzzy Topological Hypergroupoids date: 2017-12-28 words: 5788 flesch: 63 summary: If (X1,T1) and (X2,T2) are fuzzy topological spaces, we can speak about the product fuzzy topological space (X1 × X2,T1 × T2), where the product fuzzy topology is given by a base like in the following result, which can be generalized to a family of fuzzy topological spaces. Finally, in Section 6 we recall some results - published in [19] concerning fuzzy topological hypergroupoids. keywords: fuzzy; hypergroupoid; space; topological; topology cache: ratiomathematica-389.pdf plain text: ratiomathematica-389.txt item: #184 of 425 id: ratiomathematica-39 author: Gandhi, Kanika; Jha, P.C. title: Fuzzy bi-objective optimization model for multi-echelon distribution network date: 2014-06-30 words: 7633 flesch: 56 summary: The first stage of first objective explains procurement cost as per optimum procured quantity from the active suppliers, processing cost per unit in three levels at processing point. No transportation cost is discussed as it is considered as part of pur- chasing cost • Holding cost is part of processing cost at processing point 44 Fuzzy bi-objective optimization model 4.1 Sets Set Cardinality Index Product P i Supplier J j Processing Point Z z Distribution Centre M m keywords: cost; distribution; fuzzy; model; objective; period; point; processing; product; quantity; supplier; t=1 cache: ratiomathematica-39.pdf plain text: ratiomathematica-39.txt item: #185 of 425 id: ratiomathematica-391 author: Leoreanu - Fotea, Violeta title: Contributions in Mathematics: Hyperstructures of Professor Thomas Vougiouklis date: 2017-12-28 words: 1889 flesch: 63 summary: WASS means weak associativity: ∀x,y,z ∈ H, (xy)z ∩x(yz) 6= An n-ary hypergroupoid (H,f) in which the equation b ∈ f(ai−11 ,xi,ani+1) has a solution xi ∈ H for every ai−11 ,ani+1,b ∈ H and 1 ≤ keywords: vougiouklis cache: ratiomathematica-391.pdf plain text: ratiomathematica-391.txt item: #186 of 425 id: ratiomathematica-4 author: Bubenik, Frantisek; Mayer, Petr title: A Recursive Variant of Schwarz Type Domain Decomposition Methods date: 2016-06-16 words: 2448 flesch: 79 summary: Finally we 36 A Recursive Variant of Schwarz Type Domain Decomposition Methods define subdomains Ω(i) = ⋃ j∈Ii supp (ϕj) , (2) where supp (f) denotes the support of a function f. We create the coarse space and the solution of the 38 A Recursive Variant of Schwarz Type Domain Decomposition Methods problem for the corrections on the coarse level is inserted between steps (4) and (5) of the Algorithm 2.1. keywords: domain; method cache: ratiomathematica-4.pdf plain text: ratiomathematica-4.txt item: #187 of 425 id: ratiomathematica-40 author: Kalampakas, A.; Louscou-Bozapalidou, O.; Spartalis, S. title: Recognizability in Stochastic Monoids date: 2014-06-30 words: 3190 flesch: 71 summary: Given stochastic monoids M, M ′ A stochastic monoid is a set M equipped with a stochastic multiplication, i.e. a function M × M → Stoc(M), (m1, m2) 7→ m1m2 which is associative ∑ n∈M (m1m2)(n)(nm3) = ∑ n∈M (m2m3)(n)(m1n) and unitary i.e. there is an element keywords: i∈i; monoid; stochastic cache: ratiomathematica-40.pdf plain text: ratiomathematica-40.txt item: #188 of 425 id: ratiomathematica-400 author: Eugeni, Franco; Zuanni, Fulvio title: Un esempio di algebra non associativa alla maniera dei quaternioni date: 1992-11-18 words: 4 flesch: 75 summary: Microsoft Word - R.M.5 cap.10.doc keywords: microsoft cache: ratiomathematica-400.pdf plain text: ratiomathematica-400.txt item: #189 of 425 id: ratiomathematica-401 author: Angelini, Pierpaolo; De Sanctis, Angela title: On a Geometric Representation of Probability Laws and of a Coherent Prevision-Function According to Subjectivistic Conception of Probability date: 2018-07-07 words: 6238 flesch: 64 summary: ,En}, the possible values of each random quantity or random event can geometrically be represented on n lines for which a Cartesian coordinate system has been chosen. ,En} consisting of a finite number of possible events, its codomain is the set Y consisting of as many intervals as events are found into the set E of P, with infEi ≤ P(Ei) keywords: events; numbers; probability; set; space cache: ratiomathematica-401.pdf plain text: ratiomathematica-401.txt item: #190 of 425 id: ratiomathematica-404 author: Hassani Karbasi, Amir title: A New Provably Secure Cryptosystem Using Dedekind Domain Direct Product Approach date: 2018-07-07 words: 7868 flesch: 82 summary: It quantifies how large 1 2 3 4 ( ), , ,    needs to be for 1 2 4 1 2 3 4,( , , 3, ),( , , , )L c c c c D     to behave like a continuous Gaussian. the standard n-dimensional Gaussian function (respectively distribution) with center (0,0,0,0) and variance 1 2 3 4 ( ), , ,    . keywords: q q; q r cache: ratiomathematica-404.pdf plain text: ratiomathematica-404.txt item: #191 of 425 id: ratiomathematica-405 author: Potucek, Radovan title: Sums of Generalized Harmonic Series with Periodically Repeated Numerators (a,b) and (a,a,b,b) date: 2018-07-07 words: 2744 flesch: 75 summary: Keywords: harmonic series, alternating harmonic series, sequence of partial sums, computer algebra system Maple. [2] R. Potůček, Sum of generalized alternating harmonic series with three pe- riodically repeated numerators. keywords: series cache: ratiomathematica-405.pdf plain text: ratiomathematica-405.txt item: #192 of 425 id: ratiomathematica-41 author: Lygeros, Nik; Rozier, Oliveir title: Dynamique du problème 3x + 1 sur la droite réelle date: 2014-06-30 words: 5226 flesch: 84 summary: Soit {cn} ∞ n=0 l’ensemble des points critiques de f dans R +, ordonnés de telle sorte que 0 < Les valeurs de f sur R+ et (−∞,−1] sont liées pas l’équation fonctionnelle (5.2) f(x) −f(−1 −x) = 2x + 1 de sorte que les points fixes de f sur (−∞,−1] sont exactement les points νi := −1 − µi, où {µi}∞i=0 désigne l’ensemble des points fixes de f sur R+, keywords: conjecture; des; entier; est; les; pour; que; sur cache: ratiomathematica-41.pdf plain text: ratiomathematica-41.txt item: #193 of 425 id: ratiomathematica-414 author: Vagaská, Alena; Mamrilla, Dusan title: Notes on the Solutions of the First Order Quasilinear Differential Equations date: 2018-07-07 words: 2054 flesch: 71 summary: 2 We assume that for each nontrivial solution x(t), t ∈ J0 to the system (1) there exists the trinity of the functions r (t) > 0, u(t), v (t) ∈ C1 (J0,R) such that the coordinates xi (t), t ∈ keywords: x(t cache: ratiomathematica-414.pdf plain text: ratiomathematica-414.txt item: #194 of 425 id: ratiomathematica-415 author: Chvalina, Jan; Smetana, Bedřich title: Algebraic Spaces and Set Decompositions date: 2018-07-07 words: 3460 flesch: 66 summary: Then the decomposition G of the hypergroupoid (G, ·) corresponding to deformation f (i.e. elements x,y ∈ G belong to some element ā ∈ G if an only if f(x) = f(y) ) Let G be such a decomposition on the set G that for any quadruple a,b,c,d ∈ G with the property a,c ∈ ā, b,d ∈ b̄ for some a,b ∈ G we have (a · b [ G ) keywords: algebraic; decomposition cache: ratiomathematica-415.pdf plain text: ratiomathematica-415.txt item: #195 of 425 id: ratiomathematica-416 author: Zangiabadi, Elham; Nazari, Zohreh title: Some Kinds of Homomorphisms on Hypervector Spaces date: 2018-07-07 words: 2641 flesch: 89 summary: Then H ⊆ V is a subspace of V , if 1) the zero vector , 0 , is in H , 2) U, V ∈ H, then U + V ∈ H , 3) U ∈ H, r ∈ K, then r ◦U ⊆ H . Let r ∈ K and x ∈ V . keywords: homomorphism cache: ratiomathematica-416.pdf plain text: ratiomathematica-416.txt item: #196 of 425 id: ratiomathematica-42 author: Mehlawat, M. K.; Kumar, S. title: A multiobjective optimization model for optimal supplier selection in multiple sourcing environment date: 2014-06-30 words: 5440 flesch: 51 summary: Therefore, we use the ‘weighted additive model’ pro- posed in [31] to incorporate relative importance of various fuzzy objectives 103 M. K. Mehlawat, S. Kumar in supplier portfolio selection. Summary results of supplier portfolio selection incorporating pur- chasing manager preferences Case Shape parameters Price Quality level Delivery level αp αq αd Case 1 6 30 30 12.78110 0.79823 0.85422 Case 2 6 30 30 14.69752 0.88460 0.90870 Case 3 6 30 30 14.66650 0.85154 0.92320 Table 5 keywords: approach; decision; membership; model; portfolio; problem; selection; supplier cache: ratiomathematica-42.pdf plain text: ratiomathematica-42.txt item: #197 of 425 id: ratiomathematica-423 author: Borzooei, Rajab Ali; Kouhestani, Nader title: Quasi-Uniformity on BL-algebras date: 2018-12-31 words: 11307 flesch: 92 summary: Let F ∈ F, x ∈ A and y ∈ F?(x). For this, let F ∈ F and x keywords: algebra; quasi; uniform cache: ratiomathematica-423.pdf plain text: ratiomathematica-423.txt item: #198 of 425 id: ratiomathematica-424 author: Eze, Miracle K.; Onasanya, Babatunde O. title: Case Studies on the Application of Fuzzy Linear Programming in Decision-Making date: 2018-12-31 words: 4622 flesch: 74 summary: Keywords: Fuzzy set, Fuzzy linear programming, Fuzzy constraints, Fuzzy optimization. 3.1 Fuzzy Linear Programming Models In fuzzy linear programming keywords: linear; programming; table cache: ratiomathematica-424.pdf plain text: ratiomathematica-424.txt item: #199 of 425 id: ratiomathematica-425 author: Fontana, Antonio title: A Proof of Descartes’ Rule of Signs date: 2018-12-31 words: 1774 flesch: 80 summary: The derivate 𝑝′(𝑥) will have as positive roots 𝑥1 < 𝑥2 <∙∙∙∙∙∙∙∙∙∙∙∙∙< 𝑥𝑠 with multiplicity 𝑚1 − 1, 𝑚2 − 1, …… … , 𝑚𝑠 − 1, the simple roots 𝑦1, 𝑦2, … … … , 𝑦𝑠−1 between consecutive positive roots and, possibly, another simple root 𝑦0 between the maximum negative root and 𝑥1. One of the possible statements giving Descartes’ Rule of signs is the following: Theorem 1.1 If a polynomial with real coefficients in one unknown has all of its roots being real number, then the number of positive roots, counted with their multiplicity, equals the number of variations of signs among the ordered sequence of his coefficients. keywords: roots cache: ratiomathematica-425.pdf plain text: ratiomathematica-425.txt item: #200 of 425 id: ratiomathematica-426 author: Lolja, Saimir A. title: The Proof of the Fermat’s Conjecture in the Correct Domain date: 2018-12-31 words: 9331 flesch: 70 summary: Numbers connect them, because of numbers bond numbers. It also proves the Fermat’s Conjecture because the path paved by � �% > 3 2% meets a contradiction with �� �% � � > 0. keywords: conjecture; domain; fermat; integer; numbers; proof; theorem; − � cache: ratiomathematica-426.pdf plain text: ratiomathematica-426.txt item: #201 of 425 id: ratiomathematica-427 author: Potucek, Radovan title: The Sum of the Series of Reciprocals of the Quadratic Polynomials with Complex Conjugate Roots date: 2018-12-31 words: 3040 flesch: 68 summary: Published: 31-12-2018 doi:10.23755/rm.v35i0.427 c©Radovan Potůček Abstract This contribution is a follow-up to author’s papers [1], [2], [3], [4], [5], [6], [7], and in particular [8] dealing with the sums of the series of reciprocals of quadratic polynomials with different positive integer roots, with double non-positive integer root, with different negative integer roots, with double positive integer root, with one negative and one positive integer root, with purely imaginary conjugate roots, with integer roots, and with the sum of the finite series of reciprocals of the quadratic polynomials with integer purely imaginary conjugate roots respectively. Keywords: sum of the series, harmonic number, imaginary conjugate roots, hyperbolic cotangent, computer algebra system Maple. 2010 AMS subject classifications: 40A05, 65B10. ∗Department of Mathematics and Physics, Faculty of Military Technology, University of De- fence in Brno, Brno, Czech Republic; Radovan.Potucek@unob.cz 75 Radovan Potůček 1 Introduction Let us recall the basic terms. keywords: series; sum cache: ratiomathematica-427.pdf plain text: ratiomathematica-427.txt item: #202 of 425 id: ratiomathematica-428 author: Vanko, Andrej title: Preparation and Application of Mind Maps in Mathematics Teaching and Analysis of their Advantages in Relation to Classical Teaching Methods date: 2018-12-31 words: 3575 flesch: 55 summary: N N Y Y N N N N N N Y Y N N N N picture content of a square rectangle content increase content by 12% equality of contents edit quadratic equation result Y N Y N N N N N N N N N N N Y Y Y N N N N Y Y Y N N N N enlarged number root reuced number equality squaring writting of quadratic equation modification of quadratic equation writting results Y Y Y Y N N N N Y Y Y Y N N N N Y Y Y Y N N N N Y Y N Y N N N N a ≠ b b ≠ 0,1 transcription for multiplication common denominator modifying a fraction cutting fractions excluding -1 from the second fraction result N Y N N N N N N N N Y Y N N N N N N Y Y N N N N N N N N N N N N picture content of a square rectangle content increase content by 12% equality of contents edit quadratic equation result N Y Y N N Y N Y N N N N N N N N N N N N N N N N N N N N enlarged number root reuced number equality squaring writting of quadratic equation modification of quadratic equation writting results Y Y Y Y N N N N Y Y Y Y N N N N Y Y Y Y N N N N N N N N N N N N Andrej Vanko 92 Picture 1: Selected sample of students in pre-test, experimental group, Task 1 Picture 2: Selected sample of students in pre-test, experimental group, Task 2 Picture 3: Selected sample of students in pre-test, experimental group, Task 3 Picture 4: Selected sample of students in pre-test, control group, Task 1 Picture 5: Selected sample of students in pre-test, control group, Task 2 Picture 6: Selected sample of students in pre-test, control group, Task 3 a ≠ b b ≠ 0,1 transcription for multiplication common denominator modifying a fraction cutting fractions excluding -1 from the second fraction result N N N N N N N N N N N N N N N N keywords: maps; n n; task; test; y n; y y cache: ratiomathematica-428.pdf plain text: ratiomathematica-428.txt item: #203 of 425 id: ratiomathematica-429 author: Zolfi, Alieh; Ashrafi, Ali Reza title: Note on Heisenberg Characters of Heisenberg Groups date: 2018-12-31 words: 2453 flesch: 81 summary: The aim of this paper is to compute all Heisenberg characters of five classes of infinite Heisenberg groups. Keywords: Heisenberg character, Heisenberg group. keywords: group; heisenberg cache: ratiomathematica-429.pdf plain text: ratiomathematica-429.txt item: #204 of 425 id: ratiomathematica-43 author: Nikolaidou, Pipina; Vougiouklis, Thomas title: The Lie-Santilli admissible hyperalgebras of type An date: 2014-06-30 words: 5122 flesch: 78 summary: We denote the b-∂-hope by (∂), so x∂y = {xy,f(x) ·y,x ·f(y)},∀x,y ∈ G This hope contains the operation (·) = (f(x) ⊗i y) ∪ (x⊗i f(y)),∀x,y ∈ H and i ∈{1, 2, ...,n} if ⊗i is associative then ∂i is WASS. keywords: lie cache: ratiomathematica-43.pdf plain text: ratiomathematica-43.txt item: #205 of 425 id: ratiomathematica-430 author: Cruz Rambaud, Salvador; Del Pino Álvarez, María de los Ángeles title: An Analysis of Loan Repayment Plans According to the Bank Customer Profile date: 2018-12-31 words: 4427 flesch: 63 summary: Abstract It has been demonstrated that there exists a general preference for improvement in loan repayment plans in the way that people prefer decreasing sequences of installments as tested by Hoelzl et al. (2011). (2011) consisting in the proposal of some suitable advises to different consumption groups based on their preferences on loan repayment plans considered as sequences of installments. keywords: loan; plan; principal; repaid; repayment cache: ratiomathematica-430.pdf plain text: ratiomathematica-430.txt item: #206 of 425 id: ratiomathematica-45 author: Ameri, R.; Nozari, T. title: Fuzzy hyperalgebras and direct product date: 2013-06-06 words: 2269 flesch: 90 summary: ∈ I)),k ∈ K) be an indexed family of fuzzy hyperalgebras with the same type. ∈ I)),k ∈ K) be an indexed family of fuzzy hy- peralgebras with the same type I such that p∩q 6= ∅ is satisfied on each fuzzy hyperalgebra Hk, then is also satisfied on the fuzzy hyperalgebra ∏ k∈K Hk. Proof. keywords: fuzzy; k∈k cache: ratiomathematica-45.pdf plain text: ratiomathematica-45.txt item: #207 of 425 id: ratiomathematica-452 author: Alikhani, Saeid; Soltani, Samaneh title: The distinguishing number and the distinguishing index of co-normal product of two graphs date: 2019-06-30 words: 3590 flesch: 84 summary: The Cartesian product of graphs G and H is a graph, denoted by G2H, whose vertex set is V (G) × [4], named it co-normal product graph. keywords: distinguishing; graphs; product cache: ratiomathematica-452.pdf plain text: ratiomathematica-452.txt item: #208 of 425 id: ratiomathematica-455 author: Hashim Suhhiem, Mazin; Nasih Abood, Basim; Hadi Lafta, Mohammed title: Solution of two-point fuzzy boundary value problems by fuzzy neural networks date: 2019-06-30 words: 4309 flesch: 82 summary: 27-42 Ratio Mathematica 27 Solution of two-point fuzzy boundary value problems by fuzzy neural networks Mazin Hashim Suhhiem* Basim Nasih Abood+ Mohammed Hadi Solution of two-point fuzzy boundary value problems by fuzzy neural networks 29 2 Basic definitions In this section, the basic notations which are used in fuzzy calculus are introduced Definition(𝟏),[𝟏𝟔]: The r - level ( or r - cut ) set of a fuzzy set à labeled by Ar is the crisp set of all x in X (universal set) such that : µÃ(x) ≥ r ; i. e. Ar = {x ∈ X ∶ µÃ(x) keywords: vj]r; wj]r cache: ratiomathematica-455.pdf plain text: ratiomathematica-455.txt item: #209 of 425 id: ratiomathematica-463 author: Veazie, Peter J. title: How to define and test explanations in populations date: 2019-06-30 words: 7819 flesch: 57 summary: I provided a general method for testing proposed explanations using random parameters models, and I showed when population- level regression models can be used to test proposed explanations in terms of effective power. I focused on defining and testing proposed explanations; however, in practice the requirements for such a test to provide evidence must be kept in mind. keywords: explanation; implications; population; power; test cache: ratiomathematica-463.pdf plain text: ratiomathematica-463.txt item: #210 of 425 id: ratiomathematica-465 author: Ďuriš, Viliam; Lengyelfalusy, Tomáš title: The inclusion and exclusion principle in view of number theory date: 2019-06-30 words: 3242 flesch: 75 summary: In number theory, the symbol 𝜑(𝑛) denotes the number of natural numbers smaller than n and relatively prime s n, where 𝜑(𝑛) is called Euler’s function [3]. However, this principle also plays a significant role in number theory when defining the so-called Euler’s function or Fermat’s theorem, or in clarifying and exploring the fundamental problems of number theory, such as expressing the distribution of prime numbers among natural numbers on the numerical axis and many other questions still open today. keywords: number; 𝑁 𝑁 cache: ratiomathematica-465.pdf plain text: ratiomathematica-465.txt item: #211 of 425 id: ratiomathematica-466 author: Lengyelfalusy, Tomáš; Gonda, Dalibor title: Creation of the concept of zero point method in teaching mathematics date: 2019-06-30 words: 4779 flesch: 63 summary: This fact can be used in teaching solutions to quadratic inequalities. 3 Method of zero points Solving of the most mathematical problems includes solving of various equations and inequalities, or their systems. keywords: expression; inequality; method; points cache: ratiomathematica-466.pdf plain text: ratiomathematica-466.txt item: #212 of 425 id: ratiomathematica-467 author: Coufal, Jan; Tobíšek, Jiří title: En Route for the Calculus of Variations date: 2019-06-30 words: 4385 flesch: 63 summary: Among the other problems posed by Jacob Bernoulli to Johann are those which are called isoperimetric problems, which together with brachistochrone problem are prototypes of optimization problems. And this is the context for Johann Bernoulli brachistochrone problem. keywords: bernoulli; calculus; light; principle; problem; speed; time; variations cache: ratiomathematica-467.pdf plain text: ratiomathematica-467.txt item: #213 of 425 id: ratiomathematica-468 author: Khandelwal, Yogesh; Chaudhary, Priti title: Mahgoub Transform on Boehmians date: 2019-12-30 words: 3441 flesch: 90 summary: Theorem 3.5: Let𝔉1, 𝔉2 ∈ 𝔖+(ℝ) and (𝜂𝑛 ) ∈ ∆+ such that 𝔉1 ⋆ 𝜂𝑛 = 𝔉2 ⋆ 𝜂𝑛 . ⋆ 𝜂𝑛 − 𝔉1)(𝜉)| < 𝜖𝑛 → 0 as 𝑛 → ∞. Thus 𝔉1 ⋆ 𝜂𝑛 → 𝔉1 in𝔖+(ℝ). keywords: ℌ1 𝔐; ∈ 𝒞0; 𝔉𝑛 𝔐; 𝔐 ∈; 𝔐∎𝔡2 𝔐; 𝔡1 𝔐; 𝔹(𝔛 𝔐; 𝜂𝑛 𝔐 cache: ratiomathematica-468.pdf plain text: ratiomathematica-468.txt item: #214 of 425 id: ratiomathematica-47 author: Ameri, R.; Sadeghi, R. title: On Fuzzy Gamma Hypermodules date: 2013-06-06 words: 7320 flesch: 80 summary: Thus there exist z,t ∈ M, such that (z⊕t)(x) > 0, (r�γ�a)(z) > 0 and (s�γ�a)(t) > 0 i.e., x ∈ z+t,z ∈ r.γ.a and t ∈ s.γ.a and hence x ∈ (r.γ.a) + (s.γ.a). be a Γ-module over Γ-ring R and ν be a nonzero fuzzy Γ-semigroup on M. Let µ and ρ be two nonzero fuzzy Γ-semigroups on R. For r ∈ R, a,b ∈ M and γ ∈ Γ, define a fuzzy Γ- hyperoperation � on M by (r �γ �a)(t) = { µ(r) ∧ρ(γ) ∧ν(a), if t = r.γ.a 0 , otherwise. keywords: fuzzy cache: ratiomathematica-47.pdf plain text: ratiomathematica-47.txt item: #215 of 425 id: ratiomathematica-471 author: Corso, Luciano title: Mathematics and radiotherapy of tumors date: 2019-06-30 words: 5334 flesch: 61 summary: X (t) is the number of tumor cells at time t; K is the carrying capacity of the environment in which the tumor cells live and is equal to K = Max (X (t)): it represents the critical limit beyond which a tumor mass cannot go (otherwise would kill the host); X (t) / Since the volume of a cell is known and is constant, the size of the population of tumor cells is conveniently replaced by the volume of the tumor mass Vol (t). keywords: cells; model; treatment; tumor cache: ratiomathematica-471.pdf plain text: ratiomathematica-471.txt item: #216 of 425 id: ratiomathematica-472 author: Daunisi, Alberto title: Theorem of the complex exponentials date: 2019-06-30 words: 1564 flesch: 53 summary: Introduction It seems difficult, apparently, to imagine that the difference between the lengths of the legs of a right triangle may have some connection with the ratio of complex numbers, or vice-versa, that a ratio of complex numbers may be obtained from the difference of the legs of a right triangle, but this theorem, that we will call, precisely, Theorem of the complex exponentials, shows that it is possible. Finally, we arrive at the XVIII century A.C., where, in another branch of mathematics completely different from the above one, is developed, in all its entirety, the theory of complex numbers of the form x+iy, with x and y real numbers and i = √-1 the imaginary unit. keywords: exponentials; legs; theorem; triangle cache: ratiomathematica-472.pdf plain text: ratiomathematica-472.txt item: #217 of 425 id: ratiomathematica-477 author: Santilli, Ruggero Maria title: Studies on the classical determinism predicted by A. Einstein, B. Podolsky and N. Rosen date: 2019-12-30 words: 5308 flesch: 49 summary: 38- 46.11 Special Issue I;Foundations of Hadronic Mathematics Dedicated to the 80th Birthday of Prof. R. M. Santilli, http://www.santilli- foundation.org/docs/10.11648.j.ajmp.s.2015040501.15.pdf [33] Bijan Davvaz and Thomas Vougiouklis, A Walk Through Weak Hyper- structures, Hv-Structures, World Scientific (2018) [19] R. M. Santilli, Elements of Hadronic Mechanics, Ukraine Academy of Sciences, Kiev, Volume I (1995), Mathematical Foundations, href=”http://www.santilli-foundation.org/docs/Santilli-300.pdf 20 Apparent proof of the EPR argument [20] R. M. Santilli, Elements of Hadronic Mechanics, Ukraine Academy of Sciences, Kiev, Volume II (1995), Theoretical Foundations, http://www.santilli-foundation.org/docs/Santilli-301.pdf [21] R. M. Santilli, Elements of Hadronic Mechanics, Ukraine Academy of Sciences, Kiev, Volume III (2016), Experimental verifications, http://www.santilli-foundation.org/docs/elements-hadronic- mechanics-iii.compressed.pdf [22] R. M. Santilli, Hadronic Mathematics, Mechanics and Chemistry, Volumes I to V, International Academic Press, (2008), http://www.i-b-r.org/Hadronic-Mechanics.htm [23] Raul M. Falcon Ganfornina and Juan Nunez Valdes, Fundamentos de la Isdotopia de Santilli, International Academic Press (2001), http://www.i-b-r.org/docs/spanish.pdf English translations Algebras, Groups and Geometries Vol. 32, pages 135-308 (2015), http://www.i-b-r.org/docs/Aversa-translation.pdf [24] I. Gandzha and J. Kadeisvili, New Sciences for a New Era: Mathematical, Physical and Chemical Discoveries of Ruggero Maria Santilli, Kathmandu University, Sankata Printing Press, Nepal (2011), http://www.santilli-foundation.org/docs/RMS.pdf [25] H. C. Myung and R. M. Santilli, “Modular-isotopic Hilbert space for- mulation of the exterior strong problem,” Hadronic Journal Vol. 5, p. 1277-1366 (1982), http://www.santilli-foundation.org/docs/Santilli-201.pdf [26] R. M. Santilli, Foundations of Hadronic Chemistry, with Applications to New Clean Energies and Fuels, Kluwer Academic Publishers (2001), http://www.santilli-foundation.org/docs/Santilli-113.pdf Russian translation by A. K. Aringazin http://i-b-r.org/docs/Santilli-Hadronic-Chemistry.pdf keywords: argument; element; epr; isotopic; mechanics; quantum; santilli; vol cache: ratiomathematica-477.pdf plain text: ratiomathematica-477.txt item: #218 of 425 id: ratiomathematica-48 author: Chaudhary, Kuldeep; Singh, Yogender; Jha, P. C. title: Optimal Control Policy of a Production and Inventory System for multi-product in Segmented Market date: 2013-12-29 words: 5020 flesch: 72 summary: [2] Duran, S. T., Liu, T., Simcji-Levi, D., Swann, J. L., optimal production and inventory policies of priority and price differentiated customers, IIE Transactions ,39(2007), 845–861. [24] Rosen, J. B., Numerical solution of optimal control problems. keywords: control; i=1; inventory; production cache: ratiomathematica-48.pdf plain text: ratiomathematica-48.txt item: #219 of 425 id: ratiomathematica-480 author: Minati, Gianfranco title: A conceptual proposal on the undecidability of the distribution law of prime numbers and theoretical consequences date: 2019-12-30 words: 5816 flesch: 44 summary: 69-84 69 A conceptual proposal on the undecidability of the distribution law of prime numbers and theoretical consequences Gianfranco Minati* In music and in mathematics there is the same perfume of eternity Abstract† Within the conceptual framework of number theory, we consider prime numbers and the classic still unsolved problem to find a complete law of their distribution. keywords: computing; conjecture; distribution; incompleteness; indemonstrability; law; non; numbers; prime; properties; theory; undecidability cache: ratiomathematica-480.pdf plain text: ratiomathematica-480.txt item: #220 of 425 id: ratiomathematica-485 author: Ďuriš, Viliam title: Solving some specific tasks by Euler's and Fermat's Little theorem date: 2019-12-30 words: 3918 flesch: 77 summary: Now let 𝑝 and 8𝑝2 + 1 be prime numbers simultaneously. Prime numbers and computer methods for factorisation. keywords: euler; number; theorem cache: ratiomathematica-485.pdf plain text: ratiomathematica-485.txt item: #221 of 425 id: ratiomathematica-491 author: Bhan, Indra; Shyam, Lal; Shyam, Lal title: Legendre Wavelet expansion of functions and their Approximations date: 2019-12-30 words: 7160 flesch: 85 summary: θ < 1 by Taylor′s expansion = 1 2k−1∫ 0 ( f ( n̂− 1 2k ))2 dh + 1 2k−1∫ 0 h2 ( f ′ ( n̂− 1 2k ))2 dh + 1 2k−1∫ 0 h4 4 ( f ′′ ( n̂− 1 2k )) dh + 1 2k−1∫ 0 h3 3 f ( n̂− 1 2k ) keywords: n=1; n̂− cache: ratiomathematica-491.pdf plain text: ratiomathematica-491.txt item: #222 of 425 id: ratiomathematica-495 author: Mirajakar, Pallavi S.; Patil, P.G. title: Pairwise Paracompactness date: 2020-06-30 words: 5873 flesch: 89 summary: A subset A of a bitopological space (X,τ1,τ2) is called a (a) (τi,τj)-g-closed [5] if τj-cl(A) ⊆ U whenever A ⊆ U and U is open in τi. [6] if the inverse image of every µk-closed set in (Y,µ1,µ2) is (τi,τj)-ω-closed in (X,τ1,τ2). keywords: open; τ1,τ2; τj)-g∗ωα cache: ratiomathematica-495.pdf plain text: ratiomathematica-495.txt item: #223 of 425 id: ratiomathematica-5 author: Wijayatunga, Priyantha title: A geometric view on Pearson’s correlation coefficient and a generalization of it to non-linear dependencies date: 2016-06-16 words: 7561 flesch: 60 summary: We review them briefly by giving some interpretations that support our definition of dependence measure. However, it is hard to find dependence measures satisfying all these axioms. keywords: case; coefficient; dependence; distance; linear; measure; probability; variables cache: ratiomathematica-5.pdf plain text: ratiomathematica-5.txt item: #224 of 425 id: ratiomathematica-50 author: Lygeros, N.; Vougiouklis, T. title: The LV-hyperstructures date: 2013-12-29 words: 2267 flesch: 75 summary: The LV-hyperstructures N. Lygeros*, T. Vougiouklis** *Lgpc, University of Lyon, Lyon, France, **Democritus University of Thrace, School of Education w@lygeros.org, tvougiou@eled.duth.gr Abstract The largest class of hyperstructures is the one which satisfy the weak properties and they are called Hv-structures introduced in 1990. N. Lygeros, T. Vougiouklis Definition 1.3 (Santilly-Vougiouklis). keywords: order cache: ratiomathematica-50.pdf plain text: ratiomathematica-50.txt item: #225 of 425 id: ratiomathematica-501 author: Paul, Augustine title: Some characterizations of fuzzy comultisets and quotient fuzzy multigroups date: 2020-06-30 words: 6287 flesch: 81 summary: 248 Fuzzy comultisets and quotient fuzzy multigroups 4 Quotient fuzzy multigroups In this section, we present the notion of quotient groups in fuzzy multigroup setting and establish the isomorphism theorems. To start with, the connection between fuzzy comultisets of fuzzy multigroups and the cosets of groups is established. keywords: ejegwa; fuzzy; g̃ h̃; multigroups; submultigroup cache: ratiomathematica-501.pdf plain text: ratiomathematica-501.txt item: #226 of 425 id: ratiomathematica-503 author: Razzagh, Behnam title: Supersolube subgroups date: 2020-06-30 words: 4089 flesch: 75 summary: Then both A and B are proper subgroups of G. Let N be a minimal normal subgroup of G and for contradiction assume that NA=G. Then, as N is abelian, N∩A is a normal subgroup of 〈N,A〉= G. Since N is a minimal normal subgroup of G and A 0) and 𝑛(< 0) are Polytropic constant and Polytropic index respectively. Keywords: Cosmology; Dark energy; Polytropic gas; Thermodynamics. 2010 AMS subject classification: 83F05, 37D35, 82B30.‡ *Department of Mathematical Sciences, Bodoland University, Kokrajhar, BTR, Assam- 783370, India; prasantadasp4@gmail.com. keywords: volume 𝑉; 𝑈 𝑉 cache: ratiomathematica-564.pdf plain text: ratiomathematica-564.txt item: #247 of 425 id: ratiomathematica-570 author: Pandey, Himanshu; Rao, Arun Kumar title: Reliability Estimation of Weibull -Exponential Distribution via Bayesian Approach date: 2021-07-04 words: 5414 flesch: 95 summary: Bayesian method of estimation The Bayesian estimation procedure have been developed generally under squared error loss function ( ) ( ) ( ) ( ) 2 L R t , R t R t R t   The joint density function or likelihood function of (5) is given by ( )( ) ( ) ( ) ( ) ( ) ( ) 1 1 1 1 1 1 1 1 n i a n xi i ti i a x n en a nx e na t i a e f x | R t e log R t R t e       = =  − keywords: r t cache: ratiomathematica-570.pdf plain text: ratiomathematica-570.txt item: #248 of 425 id: ratiomathematica-576 author: Basavanagoud, Bommanahal; Policepatil, Shruti title: Integrity of Generalized Transformation Graphs date: 2021-07-04 words: 7013 flesch: 86 summary: The value |S| + m(G−+ − S) is minimum for above chosen S. Therefore, I(G−+) = n + 1. 36 Integrity of generalized transformation graphs The column 2 and 6 of Table 3 shows integrity of basic graphs and integrity of transformation graph G−+ of graphs with same structure. The column 2 and 4 Table 5 shows integrity of basic graphs and integrity of transformation graphs G−+ of graphs with same structure. keywords: b b; bc bc; graph; integrity; set; vertices cache: ratiomathematica-576.pdf plain text: ratiomathematica-576.txt item: #249 of 425 id: ratiomathematica-577 author: Awolola, Johnson Aderemi; Ibrahim, Musa Adeku title: A survey on fuzzy semigroups date: 2021-07-04 words: 5916 flesch: 78 summary: 7-25 A survey on fuzzy semigroups Johnson Aderemi Awolola∗ Musa Adeku Ibrahim† XXX Abstract Fuzzy semigroup is an algebraic extension of semigroup. We will begin with a review of fuzzy groups which heavily inspired the notion of fuzzy semigroups put forth by the algebraists. keywords: fuzzy; ideals; math; semigroups; sets; subgroup; systems; theory cache: ratiomathematica-577.pdf plain text: ratiomathematica-577.txt item: #250 of 425 id: ratiomathematica-578 author: Patil, P G; Pattanasgetti, Bhadramma title: gp alpha Kuratowski's Closure Operators in topological spaces date: 2021-07-04 words: 4270 flesch: 90 summary: Introduction to the concept of pre-open sets and pre-closed sets were made by Mashhour et al. In (X,τ) we have, pre-open sets are: X, φ, {a},{c},{d},{a,c},{b,c},{c,d},{d,e},{a,c,d}, {a,c,e},{a,d,e},{a,b,c,d},{a,b,c,e},{a,b,d,e},{a,c,d,e}. gpα-open sets are: X, φ, {a},{c},{d},{a,b},{b,d},{c,d},{a,c}, {b,c},{d,e},{a,b,d},{a,c,d},{b,c,d},{a,b,c},{a,c,e},{a,d,e}, {a,b,c,d},{a,b,c,e},{a,b,d,e},{a,c,d,e} . keywords: gpα cache: ratiomathematica-578.pdf plain text: ratiomathematica-578.txt item: #251 of 425 id: ratiomathematica-58 author: Chvalina, Jan; Hoskova-Mayerova, Sarka title: General ω-hyperstructures and certain applications of those date: 2012-12-18 words: 5650 flesch: 74 summary: If H(ω) = ( {Yk; k ∈ ω},•ω ) is a general ω-hyperstructure such that (Yk,�k), k ∈ ω are pairwise disjoint ordered sets and •ω({yk}k∈ω) = ⋃ k∈ω [yk)k ⊆ ⋃ k∈ω Yk for any sequence {yk}k∈ω ∈ ∏ k∈ω Yk we consider a system hk : (Xk,≤k) → (Yk,�k), k ∈ ω, of strongly isotone mappings, i.e. for any x ∈ Xk there holds hk ( [xk)k ) Then denoting H = {hk : Xk → Yk; k ∈ ω} we obtain that H is a good homomorphism of the general ω-hyperstructure; G(ω) into the general ω-hyperstructure H(ω). keywords: general; hyperstructure; k∈k; k∈ω cache: ratiomathematica-58.pdf plain text: ratiomathematica-58.txt item: #252 of 425 id: ratiomathematica-582 author: Agbetayo, J. M.; Ejegwa, P. A. title: Certain results on metric and norm in fuzzy multiset setting date: 2021-07-04 words: 1599 flesch: 74 summary: In this paper, we review the concept of fuzzy multisets and study the notions of metric and norm on fuzzy multiset. Metric and norm defined over fuzzy multisets In this section, we present metrics and norm defined over fuzzy multiset. keywords: metric; multiset; norm; proof cache: ratiomathematica-582.pdf plain text: ratiomathematica-582.txt item: #253 of 425 id: ratiomathematica-585 author: Ventrone, Michele title: About two countable families in the finite sets of the Collatz Conjecture date: 2021-07-04 words: 6384 flesch: 84 summary: The numbers of 𝐵𝑡+1and of 𝐵𝑡+1 ∗ come from the integer solutions, if they exist, of the equations 𝑏𝑡+1 = 𝑘𝑡−1 3 with 𝑘𝑡 ∈ 𝐾𝑡 , 𝑘𝑡 even and 𝑘𝑡 ≠ 4 (7.1) 𝑏𝑡+1 ∗ = 2𝑘𝑡 ∗−1 3 with 𝑘𝑡 ∗ ∈ 𝐾𝑡 ∗ and 𝑘𝑡 ∗ ≠ 2 (7.2) by the Theorems, respectively, 4.2 and 4.5. The following are the properties of the {𝑲𝒕}𝒕∈ℕ and {𝑲𝒕 ∗}𝒕∈ℕ: countability, empty intersection between the elements of the same family, and - at the end of the work - we conjecture that both of the two families are a partition of ℕ𝟎. We demonstrate also that each set 𝑲𝒕 and 𝑲𝒕 ∗ is the union of two sets, a set includes even positive integers, the other, if it is non-empty, includes odd positive integers different from 1 and we go on proving that the maximum of each set 𝑲𝒕 and 𝑲𝒕 ∗ is 2t and that 𝑲𝒕 ∩ 𝑲𝒕 ∗ = {𝟐𝒕}. keywords: ∈ ℕ; 𝐴𝑡+1; 𝐵𝑡+1; 𝐾𝑡+1 cache: ratiomathematica-585.pdf plain text: ratiomathematica-585.txt item: #254 of 425 id: ratiomathematica-587 author: Shanmugapriya, Shanmugapriya R.; Abdul, Ibrahim title: Intuitionistic FWI-ideals of residuated lattice Wajsberg algebras date: 2021-07-04 words: 4420 flesch: 78 summary: Then it is called a lattice Wajsberg algebra, if the following axioms are satisfied for all 𝑥, 𝑦 ∈ 𝐴, Intuitionistic FWI-ideals of residuated lattice Wajsberg algebras 181 (i) Let 𝐼 be a non-empty subset of 𝐴, then 𝐼 is called aWI-ideal of lattice Wajsberg algebra 𝐴, if the following axioms are satisfied for all𝑥, 𝑦 ∈ 𝐴, (i) 0 keywords: algebra 𝐴; ∈ 𝐴; 𝑆 = cache: ratiomathematica-587.pdf plain text: ratiomathematica-587.txt item: #255 of 425 id: ratiomathematica-588 author: Kaliraja, M; Kanibose, P; Ibrahim, Abdul title: Perfect edge domination in vague graphs date: 2021-12-31 words: 3351 flesch: 70 summary: Abstract In this paper, we introduce the notions of perfect edge domination set and perfect edge domination number in vague graphs. Perfect edge domination in vague graphs 163 1. keywords: edge; graph 𝐺; 𝐺 = cache: ratiomathematica-588.pdf plain text: ratiomathematica-588.txt item: #256 of 425 id: ratiomathematica-589 author: Sabr, Hadeer A.; Abood, Basim N.; Suhhiem, Mazin title: Fuzzy Homotopy Analysis Method For Solving Fuzzy Autonomous Differential Equation date: 2021-07-04 words: 6211 flesch: 84 summary: This means that this technique is based on generating a convergent fuzzy series of fuzzy solutions to approximate the fuzzy analytical solution of the FIVB. Keywords: fuzzy homotopy analysis method; fuzzy autonomous differential equation; fuzzy series solution. keywords: method; ∂t2 cache: ratiomathematica-589.pdf plain text: ratiomathematica-589.txt item: #257 of 425 id: ratiomathematica-59 author: Cristea, Irina title: (Intuitionistic) Fuzzy Grade of a Hypergroupoid: A Survey of Some Recent Researches date: 2012-12-18 words: 5492 flesch: 80 summary: One of the principal concerns of several researchers is that to obtain new hyperstructures using modern tools for investigation of uncertain problems, like intuitionistic fuzzy sets, rough sets, soft sets, interval-valued fuzzy sets. [24] associated with any hy- pergroupoid a sequence of join spaces and intuitionistic fuzzy sets with the length called the intuitionistic fuzzy grade. keywords: fuzzy; grade; hypergroupoid; hypergroups; join cache: ratiomathematica-59.pdf plain text: ratiomathematica-59.txt item: #258 of 425 id: ratiomathematica-6 author: Bureš, Martin; Dohnal, Filip title: Verification of the mathematically computed impact of the relief gradient to vehicle speed date: 2016-06-16 words: 3005 flesch: 56 summary: The real speed of the vehicle can be expressed by this formula [2]: (1) where vj means vehicle speed at j-section of vehicle path [km·h -1 ], vmax maximum vehicle speed at communications Verification of the mathematically computed impact of the relief gradient to vehicle speed 25 All these factors are closely related and influence each other. keywords: gradient; impact; relief; slope; speed; terrain; vehicle cache: ratiomathematica-6.pdf plain text: ratiomathematica-6.txt item: #259 of 425 id: ratiomathematica-60 author: Dramalidis, Achilles; Vougiouklis, Thomas title: Hv-semigroups as noise pollution models in urban areas date: 2012-12-18 words: 3729 flesch: 78 summary: Ω → P(Ω), on Ω as follows: ∀x,y ∈ Ω, we set xrLy = f(x) ∪{x} If y ∈ [x] and x ∈ [y],∀x,y ∈ Ω, then the weak com- mutativity of (rL) is valid. keywords: noise cache: ratiomathematica-60.pdf plain text: ratiomathematica-60.txt item: #260 of 425 id: ratiomathematica-604 author: Vinod, S.; Biju, G.S. title: Mixed and Non-mixed Normal Subgroups of Dihedral Groups Using Conjugacy classes date: 2021-07-04 words: 3637 flesch: 89 summary: Therefore the group Gn is isomorphic to Dn =< r1,s0 >. A normal subgroup which contain rotations alone is called a non- mixed nor- mal subgroup and normal subgroups which contains both reflections and rotations is called mixed normal subgroup. keywords: subgroups cache: ratiomathematica-604.pdf plain text: ratiomathematica-604.txt item: #261 of 425 id: ratiomathematica-607 author: Gupta, Poonam; Kumar, Naveen title: Analysis of classical retrial queue with differentiated vacation and state dependent arrival rate. date: 2021-07-04 words: 4122 flesch: 66 summary: Later on Takagi [16], Tian and Zhang [18] did the pioneer work on vacation queueing system. [13] introduced the concept of working vacation queueing system in which server works at slow rate during vacation period rather than completely stopping the service during vacation. keywords: queueing; retrial; server; state; system; vacation cache: ratiomathematica-607.pdf plain text: ratiomathematica-607.txt item: #262 of 425 id: ratiomathematica-609 author: Toranagatti, Jagadeesh B. title: On δ-preregular e*-open sets in topological spaces date: 2021-07-04 words: 3451 flesch: 79 summary: M = M.Hence M is δpe∗-open Remark 3.4. = δ-pint(M)∪ int(cl(δ-int(M)) = M ∪ int(cl(cl(M)) keywords: sets; theorem; δpe∗-open cache: ratiomathematica-609.pdf plain text: ratiomathematica-609.txt item: #263 of 425 id: ratiomathematica-61 author: Cavallo, Bice; D’Apuzzo, Livia title: About a definition of metric over an abelian linearly ordered group date: 2012-06-10 words: 2732 flesch: 76 summary: Then, for each choice of c, r ∈ G and c′, r′ ∈ G such that c′ = h(c), r > e and r′ = h(r), the following equality holds: NdG′ (c ′; r′) = h(NdG(c; r)). RATIO MATHEMATICA 22 (2012) 3-12 ISSN:1592-7415 About a definition of metric over an abelian linearly ordered group Bice Cavallo, Livia D’Apuzzo University Federico II, Naples, Italy bice.cavallo@unina.it, liviadap@unina.it Abstract A G-metric over an abelian linearly ordered group G = (G,⊙,≤) is a binary operation, dG, verifying suitable properties. keywords: alo; group cache: ratiomathematica-61.pdf plain text: ratiomathematica-61.txt item: #264 of 425 id: ratiomathematica-610 author: Pancratius, Anitha; Rosini, Babu Rajendran Pillai title: Recognizable Hexagonal Picture Languages and xyz domino tiles date: 2021-07-04 words: 2025 flesch: 68 summary: In this part we review the notions of formal language theory and some of the basic concepts on hexagonal pictures and hexagonal picture languages [Anitha, 2011]. Recognizability of xyz local hexagonal picture were studied and the fact that every recogniz- able hexagonal p[icture languages can be obtained as a projection of xyz local hexagonal picture languages. keywords: languages; picture; xyz cache: ratiomathematica-610.pdf plain text: ratiomathematica-610.txt item: #265 of 425 id: ratiomathematica-618 author: Buffoni, Giuseppe title: On odd integers and their couples of divisors date: 2021-07-04 words: 5991 flesch: 85 summary: The distributions Πn(ν) have been obtained by identifying all the couples (2i+ 1, 2j + 1) of divisors of the integers 2m + 1 with m = kij ≤ n. The identities kpkqr = kqkrp = krkpq, p,q,r ∈ N follow from the product of three odd numbers (2p + 1)(2q + 1)(2r keywords: divisors; integers cache: ratiomathematica-618.pdf plain text: ratiomathematica-618.txt item: #266 of 425 id: ratiomathematica-619 author: Gupta, Rajni; Malik, Sangeeta title: Study of feedback queueing system with unreliable waiting server under Multiple Differentiated Vacation Policy date: 2021-12-31 words: 3550 flesch: 67 summary: Ratio Mathematica Volume 41, 2021, pp.146-161 146 Study of feedback queueing system with unreliable waiting server under multiple differentiated vacation policy Rajni Gupta* Sangeeta Malik# Abstract Study of feedback queueing system with unreliable waiting server under multiple D.V. policy 147 1. keywords: probability; queueing; server; system; vacation; waiting cache: ratiomathematica-619.pdf plain text: ratiomathematica-619.txt item: #267 of 425 id: ratiomathematica-62 author: Borzooei, R. A.; Rezazadeh, A.; Ameri, R. title: Classifications of Hyper Pseudo BCK-algebras of Order 3 date: 2012-06-10 words: 9857 flesch: 88 summary: Therefore, in this case b ∗ b is equal to the one of sets {0, b} or {0, a, b} and if b ◦ b is equal to the one of sets {0, b} or {0, a, b}, then (b ◦ b) ◦ (a ◦ b) ̸≪ b ◦ a. Thus in this case, we have the following tables: ◦31 0 a b 0 {0} {0} {0} a {a} {0,a} {0,a} b {b} {b} {0,b} ∗31 0 a b 0 {0} {0} {0} a {a} {0,a} {0,a} b {b} {b} {0,a} 25 R. A. Borzooei, A. Rezazadeh and R. Ameri (10) Let b ∗ b = {0, b} and b ◦ b = {0, a}. keywords: 0,a; ◦ b cache: ratiomathematica-62.pdf plain text: ratiomathematica-62.txt item: #268 of 425 id: ratiomathematica-624 author: Joshi, Varsha; Karnel, Jenifer J. title: Regular generalized fuzzy b-separation axioms in fuzzy topology date: 2021-07-04 words: 4076 flesch: 79 summary: = rgfbCl( ) Definition 3.3:Let  and 𝛽 be fuzzy sets in fuzzy topological space X1. Introduction The fundamental theory of fuzzy sets were introduced by Zadeh keywords: fuzzy; −1(𝑂 cache: ratiomathematica-624.pdf plain text: ratiomathematica-624.txt item: #269 of 425 id: ratiomathematica-625 author: Shah, Mansi; Devbhadra, Shah title: Generalized double Fibonomial numbers date: 2021-07-04 words: 4400 flesch: 84 summary: Generalized double multinomial numbers can be expressed as the multiplication of generalized double Fibonomial numbers. We also discuss its special case, double Fibonomial number along with the situation in which they give integer values. keywords: fibonomial; numbers cache: ratiomathematica-625.pdf plain text: ratiomathematica-625.txt item: #270 of 425 id: ratiomathematica-626 author: Mirajkar, Keerthi G; Deshpande, Anuradha V title: On the traversability of near common neighborhood graph of a graph date: 2021-12-31 words: 2876 flesch: 80 summary: [Zadeh et al., 2014] which is exactly the opposite of near common neighborhood is denoted by con(G) is a graph with vertex set, in which two vertices are adjacent if and only if they have at least one common neighbor in the graph G. Here the common neighborhood of some composite graphs are computed and also the relation between hamiltonicity of graph G and con(G) is investigated. Keywords: Near common neighborhood graph; Hamiltonian graph; Eulerian graph. 2020 AMS subject classifications: 05C07, 05C10, 05C38, 05C60, 05C76. keywords: graph cache: ratiomathematica-626.pdf plain text: ratiomathematica-626.txt item: #271 of 425 id: ratiomathematica-628 author: Madni, Bilkis M; Shah, Devbhadra V. title: On the solutions of Pellian equation U^2-DV^2=K^2 N date: 2021-12-31 words: 6351 flesch: 90 summary: The equation 𝑼𝟐 − 𝑫𝑽𝟐 = 𝒌𝟐𝑵 It is easy to observe that if 𝑢+𝑣√𝐷 𝑘 and 𝑢′+𝑣′√𝐷 𝑘 are any two integer solutions of (1.3) such that 𝑢 ≡ 𝑢′ and 𝑣 ≡ 𝑣′(𝑚𝑜𝑑 𝑁), then ( 𝑢𝑢′−𝐷𝑣𝑣′ 𝑘𝑁 , 𝑢𝑣′−𝑢′𝑣 𝑘𝑁 ) is the positive solution of the equation 𝑅2 − 𝐷𝑆2 = 𝑘2. Thus 𝑢𝑢′−𝐷𝑣𝑣′ 𝑘𝑁 + 𝑢𝑣′−𝑢′𝑣 𝑘𝑁 √𝐷 𝑘 is a solution of Pellian equation 𝑅2 − 𝐷𝑆2 = 𝑘2. keywords: equation 𝑈2; 𝑁 𝒜𝛼𝑗 cache: ratiomathematica-628.pdf plain text: ratiomathematica-628.txt item: #272 of 425 id: ratiomathematica-63 author: Novak, Michal title: EL-hyperstructures: an overview date: 2012-12-18 words: 5268 flesch: 68 summary: Corollary 7.1 Let (H,∗) be the associated hypergroup of such a quasi-ordered semigroup (H, ·,≤) that at least two distinct elements a,b ∈ H are in rela- tion ≤ (i.e. ≤ is not trivial). ∈ H is an identity of (H,∗) if and only if e ≤ u. 2. keywords: quasi cache: ratiomathematica-63.pdf plain text: ratiomathematica-63.txt item: #273 of 425 id: ratiomathematica-639 author: Das, Khushbu J.; Shah, Devbhadra V. title: Insertion Of Terms Satisfying The Recurrence Relations Of Horadam Sequence And Bifurcating Fibonacci Sequences date: 2022-06-30 words: 6271 flesch: 86 summary: When we consider the sequence 𝑎,𝑥1,𝑏, where 𝑥1 is the only inserted term between 𝑎 and 𝑏. Then using 𝐹2 (1,1,𝑟,𝑠) = 𝐹1 (1,1,𝑟,𝑠) + 𝑠𝐹0 (1,1,𝑟,𝑠) , we get 𝑏 = 𝑥1 + 𝑠𝑎. If we continue extending the above finite sequence one more time, then we get the sequence 𝑎,𝑥1,𝑥2,𝑥3,𝑥4,𝑏. Using the similar approach as above, we obtain 𝑥1 = 𝑏−𝑎(𝑝2𝑞+2𝑝) 𝑝2𝑞2 keywords: 𝐹 𝑘−1; 𝐹𝑛−1; 𝐹𝑛−2; 𝐹𝑛−3 cache: ratiomathematica-639.pdf plain text: ratiomathematica-639.txt item: #274 of 425 id: ratiomathematica-644 author: Shashikala, S; Narappanavar, Anil P title: Some studies on products of Fuzzy soft graphs date: 2021-12-31 words: 10310 flesch: 83 summary: If )( ~ )( ~ 21 ji eKeF  and )( ~ )( ~ 12 ij eKeF  then )()](1[)()](1[),(deg 1 ~ 11 ~ 111 ~~ 1 * 2 2 * 1 21 xdeydydexdyx GjGG i GGG cc +++=  Proof:      = Aee Eyxyx jiGG ji yxyxeeKKyx ),( )()( 22112111 ~~ 2211 21 )())(,() ~~ (),(deg   ++=       =    = 2 1 121 21 2 1 221 21 ))(( ~ ))     = Aee Eyxyx jiGG ji yxyxeeKKyx ),( )()( 22112111 ~~ 2211 21 )())(,() ~~ (),(deg   ++=    keywords: + +; + =; = ; ae ae;  =;  ;   cache: ratiomathematica-644.pdf plain text: ratiomathematica-644.txt item: #275 of 425 id: ratiomathematica-645 author: Islam, Md Nazimul title: Common fixed point theorems in complex valued fuzzy metric spaces date: 2021-12-31 words: 6064 flesch: 88 summary: Note: It is clear that rseiθ - eiθ and consequently, M(x,y,t) - eiθ for all x,y ∈ X, t ∈ (0,∞), rs ∈ 104 Some common fixed point theorems in complex valued fuzzy metric spaces For each t > 0, x,y ∈ X, we define M(x,y,t) = eiθ ktn ktn keywords: complex; metric; point cache: ratiomathematica-645.pdf plain text: ratiomathematica-645.txt item: #276 of 425 id: ratiomathematica-647 author: Patil, P G; Narappanavar, Anil P; Venkatachala Rao, Sandhy G title: A New Form Of Continuity In Fuzzy Soft Topological Spaces date: 2022-09-25 words: 8509 flesch: 83 summary: [19] Sabir Hussain, On weak and strong forms of fuzzy soft open sets, Fuzzy Information and Engineering, Vol.8(4), 451-463, (2016). Each member of τ is called fs open set. keywords: continuous; fs b; open; pre; set; soft cache: ratiomathematica-647.pdf plain text: ratiomathematica-647.txt item: #277 of 425 id: ratiomathematica-649 author: Anooja, Indira Devi; Vinod, Sivadasan; Biju, Gopinadhan Sathikumari title: Encryption using semigroup action date: 2021-12-31 words: 2479 flesch: 80 summary: The idea of using semigroups as platforms for public key cryptosystems has appeared in several papers. Ratio Mathematica Volume 41, 2021, pp. 19-27 Encryption using semigroup action Anooja keywords: action; key; semigroup cache: ratiomathematica-649.pdf plain text: ratiomathematica-649.txt item: #278 of 425 id: ratiomathematica-650 author: Mohamed, Yahya; Umamaheswari, P title: Properties of an anti vague filter in BL-algebras date: 2021-12-31 words: 3884 flesch: 86 summary: “Anti-vague filter” presents the new notions of anti-vague filter in BL-algebra and investigated some related properties, also derived some equivalent conditions for an anti-vague filter to be a vague filter. Thus 𝑈 ∩ 𝑊 is an anti vague filter of 𝐴. ∎ Corollary 3.11 Let 𝑅𝑗 be a family of anti vague filters of 𝐴, where 𝑗 ∈ 𝐼, 𝐼 is a index set, then ⋂ 𝑅𝑗𝑗∈𝐼 is an anti vague filter of 𝐴. Note: Union two anti vague filters of BL- algebra 𝐴 need not be an anti vague filter of 𝐴. Proposition 3.12 keywords: 𝐴. 𝑆 cache: ratiomathematica-650.pdf plain text: ratiomathematica-650.txt item: #279 of 425 id: ratiomathematica-651 author: Vijaya, S; Santhi, P; Yuvarani, A title: Contra Nα -I-Continuity over Nano Ideals date: 2021-12-31 words: 3364 flesch: 88 summary: Throughout this article we use the notation NTS, NITS, N-regular, N-open, Nα-open, N-clopen, Nα-Cts for Nano Topological Spaces, Nano Ideal Topological Spaces, nano regular space, nano open, nano α-open, nano clopen, nano α-continuous respectively. Simple forms of nano open sets in an ideal nano topological spaces. keywords: cnα; cts cache: ratiomathematica-651.pdf plain text: ratiomathematica-651.txt item: #280 of 425 id: ratiomathematica-655 author: Gupta, Poonam title: Study of feedback retrial queueing system with working vacation, setup time, and perfect repair date: 2021-12-31 words: 4200 flesch: 65 summary: The closed-form expressions for expected system size along with the probability of various system state probabilities, closed-down state have been obtained via the probability generating functions approach. Queueing systems with vacations play a vital role in many real-life systems. keywords: queueing; retrial; server; setup; system; time; vacation cache: ratiomathematica-655.pdf plain text: ratiomathematica-655.txt item: #281 of 425 id: ratiomathematica-657 author: Madubueze, Chinwendu Emilian; Gweryina, Reuben Iortyer; Tijani, Kazeem Austin title: A dynamic model of typhoid fever with optimal control analysis date: 2021-12-31 words: 8573 flesch: 70 summary: By the principle of next-generation matrix approach, we have 𝐹 = ( 0 0 a𝛽𝑆0 𝐾 0 0 0 0 0 0 ), 𝑉 = ( k3 0 0 −𝜎 k4 0 − 𝜋2(1 − 𝑝) −𝜋1(1 − 𝑝) µ𝐵 ), (6) where 𝑎 = (1 − p), 𝑘1 = (γ + µ),𝑘2 = (ƞ + µ), 𝑘3 = (σ + 𝜏1 + µ + 𝑑), 𝑘4 = (𝜏2 + Ѱ𝜃 2 + (𝐵𝑐 − 𝐵𝑐 ∗ − 𝐵𝑐 ∗ ln 𝐵𝑐 𝐵𝑐 ∗). keywords: control; days; fever; model; population; time; typhoid; − 𝐵𝑐; 𝐵𝑐 𝐵𝑐; 𝐼𝑐 𝐼𝑐; 𝐾+𝐵𝑐 cache: ratiomathematica-657.pdf plain text: ratiomathematica-657.txt item: #282 of 425 id: ratiomathematica-66 author: Asghari-Larimi, Mohsen; Cristea, Irina title: Atanassov’s intuitionistic fuzzy index of hypergroupoids date: 2012-06-10 words: 4662 flesch: 81 summary: [5, 8] defined the notion of intuitionistic fuzzy set as a generalization of the elder one of fuzzy set introduced by Zadeh [22] introduced and studied the Atanassov’s intuitionistic fuzzy grade of a hypergroupoid as the length of the sequence of join spaces and intuitionistic fuzzy sets associated with a hypergroupoid. keywords: fuzzy cache: ratiomathematica-66.pdf plain text: ratiomathematica-66.txt item: #283 of 425 id: ratiomathematica-664 author: Patel, Rima P.; Shah, Dr. Devbhadra V. title: Blocks within the period of Lucas sequence date: 2021-12-31 words: 2149 flesch: 87 summary: Since the first term of 𝑅1 is 𝑚 − 𝑠2 and that of 𝑅0 is 𝑚 − 𝑠1 and we also have 𝑅1 = 𝑠1𝑅0, we get 𝑚 − 𝑠2 = 𝑠1(𝑚 𝑠1 ×𝑠1 × …×𝑠1⏞ (𝑛−2) 𝑡𝑖𝑚𝑒𝑠 Thus, 𝑠𝑛 = 𝑠1 𝑛. Now since the order of 𝑠1 is 𝛽(𝑚), we can write single period of 𝐿(𝑚𝑜𝑑 𝑚) as follows: 2,1,3,4,7,…,3𝑠1 − 𝑚,𝑚 − 𝑠1,𝑠1,…,3𝑠1 2 − 𝑚,𝑚 − 𝑠1 2, 𝑠1 2,…,3𝑠1 3 − 𝑚, 𝑚 − 𝑠1 3,… ,3 − 𝑚,𝑚 − 1, 𝑠1 𝛽(𝑚)−1 ,…,2,1. keywords: sequence cache: ratiomathematica-664.pdf plain text: ratiomathematica-664.txt item: #284 of 425 id: ratiomathematica-666 author: Thirupathi, Thota; Srinivas, Veladi title: Result on b-metric space using alpha compatible mapping date: 2021-12-31 words: 4564 flesch: 85 summary: Let M, N,  : RR → be defined by 4 )( uuM = , uuN 4)( = and 4 )( u u = for all Ru  . 00:,, −→− RRNM  given by 3 )( uuM = , 2 3)( uuN = and 2 1 )( u u = for all Ru  . keywords: = =;   cache: ratiomathematica-666.pdf plain text: ratiomathematica-666.txt item: #285 of 425 id: ratiomathematica-668 author: Patel, Parimalkumar A.; Shah, Dr. Devbhadra V. title: The sequence of trifurcating Fibonacci numbers date: 2021-12-31 words: 4905 flesch: 90 summary: 𝑐(𝛼𝑛+1 − 𝛽𝑛+1)2 +𝑎(𝛼𝑛 − 𝛽𝑛)2 − (𝛼𝑛 − 𝛽𝑛)(𝛼𝑛+1 − 𝛽𝑛+1) ] = (1+𝑎𝑐) (𝛼−𝛽)2 {𝑎(𝛼𝑛 − 𝛽𝑛)2 + 𝑐(𝛼𝑛+1 − 𝛽𝑛+1)2} This proves the required result. +(𝛼𝑙−𝑟+1 − 𝛽𝑙−𝑟+1)(𝛼𝑙+𝑟+1 − 𝛽𝑙+𝑟+1) −{𝑎2(𝛼𝑙 − 𝛽𝑙)2 − 2𝑎(𝛼𝑙 − 𝛽𝑙)(𝛼𝑙+1 − 𝛽𝑙+1) + (𝛼𝑙+1 − 𝛽𝑙+1)2}] = 1 (𝛼−𝛽)2 [ 𝑎2(−1)𝑙−𝑟+1[𝛽2𝑟 + 𝛼2𝑟 + 2(−1)𝑟] −(−1)𝑙−𝑟+1[𝛽2𝑟 + 𝛼2𝑟 + 2(−1)𝑟] −𝑎(−1)𝑙+1 keywords: sequence cache: ratiomathematica-668.pdf plain text: ratiomathematica-668.txt item: #286 of 425 id: ratiomathematica-67 author: Das, Pankaj Kumar; Tyagi, Vinod title: Codes on s-periodic errors date: 2012-06-10 words: 2372 flesch: 69 summary: RATIO MATHEMATICA 22 (2012) 61-68 ISSN:1592-7415 Codes on s-periodic errors Pankaj Kumar Das* and Vinod Tyagi** *Department of Mathematics, Shivaji College (University of Delhi), Raja Garden, Delhi-110 027, India **Department of Mathematics, Shyam Lal College (Eve.)(University of Delhi), Shahdara, Delhi-110032, India *pankaj4thapril@yahoo.co.in, **vinodtyagi@hotmail.com Abstract In this paper, we study linear codes capable of detecting and cor- recting s-periodic errors. 2 Codes detecting s-periodic errors We consider the linear codes that are capable of detecting any s-periodic error. keywords: burst; codes; error; linear cache: ratiomathematica-67.pdf plain text: ratiomathematica-67.txt item: #287 of 425 id: ratiomathematica-670 author: Kumar, P Senthil; Packirisamy, Thiruveni title: Estimation of fuzzy metric spaces from ordinary metric spaces date: 2021-12-31 words: 2532 flesch: 80 summary: Theorem 3.1: Let �̅� and 𝐹�̅� are metric and fuzzy metric respectively, so the following diagram 𝑋 × 𝑋 × ℛ́+ 𝐹�̅� ⇒ 𝐼 𝑑𝑝𝑟 ↓ ↑ 𝛽 𝑋 × 𝑋 �̅� ⇒ ℛ́ = 1 For (iii) 𝛽 ° �̅� ° �̅�𝑥𝑦(𝑎,𝑏,𝑡) = 𝛽 ° �̅�(𝑡𝑎,𝑡𝑏) = 𝛽 { �̅�(𝑡𝑎,𝑡𝑏)} = 𝛽(𝑡𝑦) = �̂�. keywords: metric cache: ratiomathematica-670.pdf plain text: ratiomathematica-670.txt item: #288 of 425 id: ratiomathematica-671 author: Beena, GP; Sabarinath, A; Anilkumar, AK title: A Unified Shape Model For Sunspot Number Cycles date: 2021-12-31 words: 4573 flesch: 64 summary: Finally, a preliminary level prediction has also been attempted to forecast the characteristics of sunspot number cycle 25. Subsequently, several authors have studied the highly nonlinear behaviour of sunspot number cycle and proposed various models to handle the studies related to the prediction. keywords: cycle; model; number; parameters; sunspot cache: ratiomathematica-671.pdf plain text: ratiomathematica-671.txt item: #289 of 425 id: ratiomathematica-680 author: Liu, Mengmeng; Liu, Hongxing title: On extended quasi-MV algebras date: 2021-12-31 words: 9647 flesch: 96 summary: y ∈ A : 〈x,y〉 ∈ θ}. It follows from 〈x,y〉 ∈ χ that x 6 y and y 6 x. keywords: algebra; e y; equasi; y ∈ cache: ratiomathematica-680.pdf plain text: ratiomathematica-680.txt item: #290 of 425 id: ratiomathematica-683 author: Sajikumar, S; Dasan, J; Hema, V title: An image compression method based on Ramanujan Sums and measures of central dispersion date: 2021-12-31 words: 2798 flesch: 69 summary: Most image compression methods exploit this feature to obtain efficient compression. Image compression using chebyshev polynomial surface fit. keywords: block; compression; image; method; ramanujan; sum cache: ratiomathematica-683.pdf plain text: ratiomathematica-683.txt item: #291 of 425 id: ratiomathematica-687 author: Manoj, Kumar; Lal, Shyam title: On Cesàro's Means of First Order of Wavelet Packet Series date: 2021-12-31 words: 2259 flesch: 79 summary: Wavelet packet functions are a collection of functions that can be used to create other functions. But till now no work seems to have been done to obtain Cesàro summability of order 1 of wavelet packet series. keywords: 2ı−1∑; packet; series; sup; wavelet; ν=0 cache: ratiomathematica-687.pdf plain text: ratiomathematica-687.txt item: #292 of 425 id: ratiomathematica-69 author: Kalampakas, Antonios; Spartalis, Stefanos; Skoulariki, Kassiani title: Directed Graphs representing isomorphism classes of C-Hypergroupoids date: 2012-12-18 words: 3424 flesch: 63 summary: E:\UZIV\SARKA\Clanky\RM_23\Spart\GaH2.dvi RATIO MATHEMATICA 23 (2012), 51–64 ISSN:1592-7415 Directed Graphs representing isomorphism classes of C-Hypergroupoids Antonios Kalampakas, Stefanos Spartalis, Kassiani Skoulariki Department of Production Engineering and Management Laboratory of Computational Mathematics School of Engineering, Democritus University of Thrace V.Sofias 12, Prokat, Building A1, 67100Xanthi, Greece akalampakas@gmail.com, sspart@pme.duth.gr Abstract We investigate the relation of directed graphs and hyperstructures by virtue of the graph hyperoperation. In Section 2, basic concepts and results on directed graphs and hypergroupoids are presented. keywords: corsini; graph cache: ratiomathematica-69.pdf plain text: ratiomathematica-69.txt item: #293 of 425 id: ratiomathematica-70 author: Corsini, Piergiulio; MAHJOOB, Razieh title: MULTIVALUED FUNCTIONS, FUZZY SUBSETS AND JOIN SPACES date: 2010-12-08 words: 12383 flesch: 84 summary: By consequence 1H = T and therefore ∂(314) = 1. 1H u1 u2 u3 u4 u1 u1 u3 u1 u3 u1 u3 u2 H u2 u1 u3 u1 u3 u2 H u3 u2 u2 u4 u4 u4 0H u1 u2 u3 u4 u1 u1 H u1 u2 u3 u1 u2 u4 u2 u2 u3 u4 u2 u3 u4 u2 u3 u4 u3 u2 u3 We have 0H u1 u2 u3 u1 u1 u2 u1 u2 H u2 u1 u2 H u3 u3 0H u1 u2 u3 u1 u1 u1 u2 u1 u3 u2 u2 u2 u3 u3 u3 0H u1 u2 u3 u1 H H H u2 u1 u2 H u3 u1 u3 1H u1 u2 u3 u1 u1 H H u2 u2 u3 u2 u3 u3 u2 u3 Ratio Mathematica, 20, 2010 6 See (213). keywords: h u1; h u2; h u3; h u4; u1 u2; u2 u3; u3 u4; u4 ratio; u4 u5; u5 h; u5 u6 cache: ratiomathematica-70.pdf plain text: ratiomathematica-70.txt item: #294 of 425 id: ratiomathematica-704 author: Sreekumar, K.G.; Kumar P., Ramesh; Manilal, K title: A Study On The Number Of Edges Of Some Families Of Graphs And Generalized Mersenne Numbers date: 2022-06-30 words: 4386 flesch: 81 summary: 4 Relationship between Nandu sequence and gener- alized Mersenne numbers Mersenne numbers are numbers of the form Mn = 2n−1. Mersenne numbers are a particular case of a larger class of numbers, the generalized Mersenne num- bers keywords: graphs cache: ratiomathematica-704.pdf plain text: ratiomathematica-704.txt item: #295 of 425 id: ratiomathematica-705 author: Bhandari, Nidhi title: A Deep Learning Model for Classifying the Hate and Offensive Language in Social Media Text date: 2022-06-30 words: 5240 flesch: 65 summary: Performance summaries of classification models Secondly, we measured the required time for training and reported it in figure 3. Comparison of Mean Accuracy The DGM model utilizes the classical techniques for accurate classification of text but a limitation of the model motivates us to work with deep learning models. keywords: data; features; figure; idf; learning; loss; model; pos; text cache: ratiomathematica-705.pdf plain text: ratiomathematica-705.txt item: #296 of 425 id: ratiomathematica-708 author: Toranagatti, Jagadeesh B. title: A New Class Of Almost Continuity In Topological Spaces date: 2022-06-30 words: 4278 flesch: 83 summary: A set M ⊆ X is called δ-closed [Velicko, 1968] if M = clδ(M) where clδ(M) = { p ∈ X :int(cl(N)) The class of δgβ-open (resp., δgβ-closed, open, closed, regular open, regular closed, preopen, semiopen and β-open) sets of (X,τ) containing a point p ∈ X is denoted by δGβO(X,p)(resp., δGβC(X,p),O(X,p), C(X,p), RO(X,p), RC(X,p), PO(X,p), SO(X,p)and βO(X,p)). keywords: open; δgβ cache: ratiomathematica-708.pdf plain text: ratiomathematica-708.txt item: #297 of 425 id: ratiomathematica-709 author: Surya, S Sarah; Mathew, Lian; Thomas, Alan title: On Integer Cordial Labeling of Some Families of Graphs date: 2022-06-30 words: 2705 flesch: 85 summary: = −i, 1 ≤ i ≤ n 2 (1 + m) 108 On integer cordial labeling of some families of graphs Figure 1: Integer cordial labeling of B3,5 Case 2: When n is odd. If a graph has integer cordial la- beling, then it is called integer cordial graph. keywords: integer cache: ratiomathematica-709.pdf plain text: ratiomathematica-709.txt item: #298 of 425 id: ratiomathematica-71 author: Ameri, R.; Nozari, T. title: Term Functions and Fundamental Relation of Fuzzy Hyperalgebras date: 2010-12-08 words: 7149 flesch: 81 summary: strongly regular) if for every i ∈ I, and for all a1, ..., ani , b1, ..., bni ∈ H the following implication holds: a1ρb1, ..., ani ρbni ⇒ βi(a1, ..., ani )ρβi(b1, ..., bni ) (resp. A fuzzy hypergroupoid 〈H, ◦〉, which is associative, that is x ◦ (y ◦ z) = (x ◦ y) ◦ z, for all x, y, z ∈ H is called fuzzy hypersemigroup[22]. keywords: fuzzy; hyperalgebra cache: ratiomathematica-71.pdf plain text: ratiomathematica-71.txt item: #299 of 425 id: ratiomathematica-710 author: Mohamed, S. Yahya; Suganthy, S. title: Arboricity And Span In Fuzzy Chromatic Index date: 2022-06-30 words: 2635 flesch: 77 summary: This and many other circumstances stimulated to define fuzzy graphs. [8] first established the notion of fuzzy graphs in 1975. keywords: graph; graph 𝐺 cache: ratiomathematica-710.pdf plain text: ratiomathematica-710.txt item: #300 of 425 id: ratiomathematica-715 author: Lakshmanan, K; Padmasekaran, Selvaraj; Bhuvaneshwari, M; Asokan, R title: Analysis of Finite Population Stochastic modeling with State-Dependent Arrival and Service Facilities date: 2022-12-30 words: 7117 flesch: 70 summary: Sangeetha investigated the production optimal control of production time of perishable inventory system with finite source in order to get the minimal total cost on N. Sangeetha and Arivarignan [2015]. Optimal control of production time of perishable inventory system with finite source of customers. keywords: finite; inventory; model; rate; service; stock; system cache: ratiomathematica-715.pdf plain text: ratiomathematica-715.txt item: #301 of 425 id: ratiomathematica-72 author: Dass, Bal Kishan; Arora, Ritu title: Error Locating Codes Dealing with Repeated Low-Density Burst Errors date: 2010-12-08 words: 8244 flesch: 74 summary: Error locating codes, burst errors, burst errors of length of b(fixed), repeated low-density burst errors of length b(fixed). Development of such codes will economize in the number of parity-check digits required in comparison to the usual low- density burst error locating codes while considering such repeated bursts as single bursts. keywords: burst; length cache: ratiomathematica-72.pdf plain text: ratiomathematica-72.txt item: #302 of 425 id: ratiomathematica-723 author: Devi, Nithya; Prakash, P. title: Abel Fractional Differential Equations Using Variation Of Parameters Method date: 2022-06-30 words: 2129 flesch: 67 summary: The approach given here is used to solve the initial problem of fractional Abel differential equations. Keywords: Abel fractional differential equations; Reimann-liouville fractional integral; Reimann-liouville fractional derivative; variation of parameters method.1 *N.Nithyadevi (Research Scholar, Department of Mathematics, Periyar University, Salem- 636011, INDIA); nithyadevi84bu@gmail.com. †P. keywords: fractional cache: ratiomathematica-723.pdf plain text: ratiomathematica-723.txt item: #303 of 425 id: ratiomathematica-73 author: Vougiouklis, Thomas title: Bar and Theta Hyperoperations date: 2011-12-18 words: 5253 flesch: 75 summary: Then we can consider two kinds of maps (i) a multi-map where every element corresponds to the hole class or (ii) a map where every element corresponds to one special fixed element of the same class. Remark that one can use several maps f instead of only one, in a similar way. keywords: element; g,; group; hyperstructures; map; ring; structures cache: ratiomathematica-73.pdf plain text: ratiomathematica-73.txt item: #304 of 425 id: ratiomathematica-731 author: Priya, K; Anil Kumar, V title: On The Roots And Stability Of Vertex Connectivity Polynomial Of Graphs date: 2022-06-30 words: 3985 flesch: 85 summary: Ratio Mathematica Volume 42, 2022 On the Roots and Stability of Vertex connectivity Polynomial Priya Krishnan* Anil Kumar Vasu† Abstract The introduction of the concept of vertex connectivity polynomial of graphs in [Priya and Anil Kumar, 2021b] triggered the need to study the nature of roots as well as the stability properties of the same for various graph classes. [Priya and Anil Kumar, 2021a] 146 On the Roots and Stability of Vertex connectivity Polynomial Definition 2.3. keywords: connectivity; graph; roots; vertex cache: ratiomathematica-731.pdf plain text: ratiomathematica-731.txt item: #305 of 425 id: ratiomathematica-732 author: Hussain, R. Jahir; Mujeeburahman, T.C.; Dhamodharan, D. title: Some Edge Domination Parameters in Bipolar Hesitancy fuzzy graph date: 2022-06-30 words: 3416 flesch: 81 summary: Ratio Mathematica Volume 42, 2022 Some Edge Domination Parameters in Bipolar Hesitancy Fuzzy Graph Jahir Hussain Rasheed* Mujeeburahman Thacharakavil Chemmala † Dhamodharan Durairaj‡ Abstract In this article, we establish edge domination in Bipolar Hesitancy Fuzzy Graph(BHFG). Figure 2: Edge domination in BHFG 163 R. Jahir Hussain, T.C. Mujeeburahman, D. Dhamodharan Example 4.1. keywords: edge cache: ratiomathematica-732.pdf plain text: ratiomathematica-732.txt item: #306 of 425 id: ratiomathematica-734 author: Muraliraj, A; Thangathamizh, R title: Some Topological Properties Of Revised Fuzzy Cone Metric Spaces date: 2023-06-30 words: 3800 flesch: 87 summary: Ratio Mathematica Volume 47, 2023 Some topological properties of revised fuzzy cone metric spaces A. Muraliraj * R. Thangathamizh† Abstract In this paper, we introduced Revised fuzzy cone Metric space with its topological properties. 43 Some topological properties of revised fuzzy cone metric spaces There are two kinds of cones: normal and non-normal ones. keywords: cone; metric cache: ratiomathematica-734.pdf plain text: ratiomathematica-734.txt item: #307 of 425 id: ratiomathematica-738 author: Anusha, C; Anil Kumar, V title: D4-Magic Graphs date: 2022-06-30 words: 5101 flesch: 93 summary: → N2n−1 be any bijection and define 178 D4 magic graphs g : E(A(Tn)) , v4r+1} where n = 2l, m = 4r + 1, and l, r ∈ N. For 1 ≤ i ≤ n and 1 ≤ j ≤ m define g(uiv5k+1) = µ1, where k < m, k = 0, 1, 2, 3, . . . g(uiv5k+2) = µ2, k < m, k = 0, 1, 2, 3, . . . g(uivj) = ρ2, j ̸= 5k + 1, 5k + 2 where k = 0, 1, 2, . . . f(uivj) keywords: graph; magic cache: ratiomathematica-738.pdf plain text: ratiomathematica-738.txt item: #308 of 425 id: ratiomathematica-74 author: Dass, B.K.; Madan, Surbhi title: Blockwise Repeated Burst Error Correcting Linear Codes date: 2010-12-08 words: 10684 flesch: 69 summary: Error vector Syndrome 651 0001000000111 0000000000000 0001000000111000 694 0000010010100 0000000000000 0000010010100000 652 0001001010000 0000000000000 0001001010000000 695 0000010001010 0000000000000 0000010001010000 653 0001000101000 0000000000000 0001000101000000 696 0000010000101 0000000000000 0000010000101000 654 0001000010100 0000000000000 0001000010100000 697 0000010011000 0000000000000 0000010011000000 655 0001000001010 0000000000000 0001000001010000 698 0000010001100 0000000000000 0000010001100000 656 0001000000101 0000000000000 0001000000101000 699 0000010000110 0000000000000 0000010000110000 657 0001001100000 0000000000000 0001001100000000 700 0000010000011 0000000000000 0000010000011000 658 0001000110000 0000000000000 0001000110000000 701 0000010010000 0000000000000 0000010010000000 659 0001000011000 0000000000000 0001000011000000 702 0000010001000 0000000000000 0000010001000000 660 0001000001100 0000000000000 0001000001100000 703 0000010000100 0000000000000 0000010000100000 661 0001000000110 0000000000000 0001000000110000 704 0000010000010 0000000000000 0000010000010000 662 0001000000011 0000000000000 0001000000011000 705 0000010000001 0000000000000 0000010000001000 663 0001001000000 0000000000000 0001001000000000 706 0000010000000 0000000000000 0000010000000000 664 0001000100000 0000000000000 0001000100000000 707 0000001001110 0000000000000 0000001001110000 665 0001000010000 0000000000000 0001000010000000 708 0000001000111 0000000000000 0000001000111000 666 0001000001000 0000000000000 0001000001000000 709 0000001001010 0000000000000 0000001001010000 667 0001000000100 0000000000000 0001000000100000 710 0000001000101 0000000000000 0000001000101000 668 0001000000010 0000000000000 0001000000010000 711 0000001001100 0000000000000 0000001001100000 669 0001000000001 0000000000000 0001000000001000 712 0000001000110 0000000000000 0000001000110000 670 0001000000000 0000000000000 0001000000000000 713 0000001000011 0000000000000 0000001000011000 671 0000100111000 0000000000000 0000100111000000 714 0000001001000 0000000000000 0000001001000000 672 0000100011100 0000000000000 0000100011100000 715 0000001000100 0000000000000 0000001000100000 673 0000100001110 0000000000000 0000100001110000 716 0000001000010 0000000000000 0000001000010000 674 0000100000111 0000000000000 0000100000111000 717 0000001000001 0000000000000 0000001000001000 675 0000100101000 0000000000000 0000100101000000 718 0000001000000 0000000000000 0000001000000000 676 0000100010100 0000000000000 0000100010100000 719 0000000100111 0000000000000 0000000100111000 677 0000100001010 0000000000000 0000100001010000 720 0000000100101 0000000000000 0000000100101000 678 0000100000101 0000000000000 0000100000101000 721 0000000100110 0000000000000 0000000100110000 679 0000100110000 0000000000000 0000100110000000 722 0000000100011 0000000000000 0000000100011000 680 0000100011000 0000000000000 0000100011000000 723 0000000100100 0000000000000 0000000100100000 681 0000100001100 0000000000000 0000100001100000 724 0000000100010 0000000000000 0000000100010000 682 0000100000110 0000000000000 0000100000110000 725 0000000100001 0000000000000 0000000100001000 683 0000100000011 0000000000000 0000100000011000 726 0000000100000 0000000000000 0000000100000000 684 0000100100000 0000000000000 0000100100000000 727 0000000010011 0000000000000 0000000010011000 685 0000100010000 0000000000000 0000100010000000 728 0000000010001 0000000000000 0000000010001000 686 0000100001000 0000000000000 0000100001000000 729 0000000010010 0000000000000 0000000010010000 687 0000100000100 0000000000000 0000100000100000 730 0000000010000 0000000000000 0000000010000000 688 0000100000010 0000000000000 0000100000010000 731 0000000001001 0000000000000 0000000001001000 689 0000100000001 0000000000000 0000100000001000 732 0000000001000 0000000000000 0000000001000000 690 0000100000000 0000000000000 0000100000000000 733 0000000000100 0000000000000 0000000000100000 691 0000010011100 0000000000000 0000010011100000 734 0000000000010 0000000000000 0000000000010000 692 0000010001110 0000000000000 0000010001110000 735 0000000000001 0000000000000 0000000000001000 693 0000010000111 0000000000000 0000010000111000 Ratio Mathematica 20, 2010 114 Sub-block 2 S.No. In this paper we extend our study to the correction of repeated bursts occurring within a sub-block. keywords: block; length; q −; sub cache: ratiomathematica-74.pdf plain text: ratiomathematica-74.txt item: #309 of 425 id: ratiomathematica-742 author: Madubueze, Chinwendu E.; Onwubuya, Isaac O.; Mzungwega, Iorwuese title: Controlling the Transmission Dynamics of Measles Infection: Sensitivity Analysis and Optimal Control Analysis Approaches date: 2022-09-25 words: 7650 flesch: 59 summary: Ninety percentage of non-immune people are exposed to an infective and have the chance of being infected with measles disease [24, 27]. Therefore, it is imperative to examine the optimal strategy that can be implemented to control measles disease in high-burden countries. keywords: analysis; control; measles; model; parameters; persons; population; rate; vaccination; 𝐴𝑆 𝑁 cache: ratiomathematica-742.pdf plain text: ratiomathematica-742.txt item: #310 of 425 id: ratiomathematica-747 author: Abdul, Ibrahim; Mohamed Rajik, M. title: Vague Positive Implicative And Associative W-implicative Ideals Of Lattice Wajsberg Algebras date: 2022-06-30 words: 4125 flesch: 74 summary: A Wajsberg algebra (𝕎, →, ∗ ,1) is called a lattice Wajsberg algebra, if the following conditions are satisfied for all 𝑥, 𝑦 ∈ 𝕎, Then it is called Wajsberg algebra, if the following axioms are satisfied for all 𝑥, 𝑦, 𝑧 ∈ 𝕎, i 1 → 𝑥 = 𝑥 ii (𝑥 → 𝑦) → ((𝑦 → 𝑧) → (𝑥 → 𝑧)) keywords: algebra 𝕎; 𝑉𝐴(0; 𝕎. 𝑉𝐴 cache: ratiomathematica-747.pdf plain text: ratiomathematica-747.txt item: #311 of 425 id: ratiomathematica-75 author: Dramalidis, Achilles title: On geometrical hyperstructures of finite order date: 2011-12-18 words: 5033 flesch: 80 summary: That means that the p 2n -p n +1 points of the set (x◦y)◦z (proposition 7), are also points of the set x◦(y◦z). The hyperoperation (◦) is weak associative, since for every x,y,zV x◦(y◦z)  x◦z  z and (x◦y)◦z  y◦z  z keywords: line; p n; points cache: ratiomathematica-75.pdf plain text: ratiomathematica-75.txt item: #312 of 425 id: ratiomathematica-755 author: Shikhi, M; Anil Kumar, V title: Common Neighbor Polynomial Of Some Special Trees date: 2022-06-30 words: 3328 flesch: 88 summary: Keywords: common neighbor, common neighbor polynomial. [3] M. Shikhi and V. Anil Kumar, Common neighbor polynomial of graphs, Far East Journal of mathematical sciences,Volume 102, Number 6, 2017, Pages 1201-1221. keywords: vertices cache: ratiomathematica-755.pdf plain text: ratiomathematica-755.txt item: #313 of 425 id: ratiomathematica-76 author: Ameri, R.; Sadeghi, R. title: Gamma Modules date: 2010-12-08 words: 7098 flesch: 92 summary: Set A = {m ∈ M | m + n ∈ N ′ f or some n ∈ N} is an RΓ-module of M containing N ′. Proposition 5.25. ⊆ A, where AΓR = {aαc| a ∈ A, α ∈ Γ, r ∈ R}. keywords: module cache: ratiomathematica-76.pdf plain text: ratiomathematica-76.txt item: #314 of 425 id: ratiomathematica-764 author: Yuvarani, A; Vijaya, S; Santhi, P title: Weaker Forms of Nano Irresolute and Its Contra Functions date: 2022-09-25 words: 3477 flesch: 84 summary: So h−1(S) is Nα-open set of U. Thus h is Nα-irresolute.2 A. Yuvarani, S. Vijaya, P. Santhi Lemma 2.1. Further the notions called contra Nα-irresolute function, contra Ns-irresolute function, contra Np-irresolute function were introduced and exam- ined their properties. keywords: irresolute; open cache: ratiomathematica-764.pdf plain text: ratiomathematica-764.txt item: #315 of 425 id: ratiomathematica-767 author: Virivinti, Kiran; Javaji, Niranjan Goud; katta, Rajani Devi title: A Common fixed point theorem for three weakly compatible selfmaps of a S-metric space date: 2022-10-01 words: 1881 flesch: 81 summary: Commutativity plays an important role in proving common fixed point theorems. Compatible mappings and common fixed points. keywords: metric; point cache: ratiomathematica-767.pdf plain text: ratiomathematica-767.txt item: #316 of 425 id: ratiomathematica-77 author: Cruz Rambaud, Salvador title: Combination of survival probabilities of the components in a system. An application to long-term financial valuation date: 2011-12-18 words: 3425 flesch: 62 summary: To do this, a new operation between discounting functions is defined by reducing the (cumulative) instantaneous discount rate corresponding of the valuing discounting function with another appropriate discounting function. Representing this function in the extended real numbers: 1 l 0  and so its corresponding distribution function: 71 1 – l 0  Definition 3 provides a classification of discounting functions: 1. keywords: combination; discounting; function cache: ratiomathematica-77.pdf plain text: ratiomathematica-77.txt item: #317 of 425 id: ratiomathematica-771 author: Sajikumar, S; Dasan, J; Hema, V title: An Efficient Block-based Image Compression And Quality-Wise Decompression Algorithm date: 2022-06-30 words: 2750 flesch: 66 summary: Image compression has been a hot topic of research for many years and several image compression standards have been de- veloped ([Sonal, 2007], [Memon and Sayood, 1995]). Typically hence, image compression is based on the fact that the neighbouring pixels are highly correlated ([Salomon, 2007], keywords: blocks; compression; image; polynomial; quality; sajikumar cache: ratiomathematica-771.pdf plain text: ratiomathematica-771.txt item: #318 of 425 id: ratiomathematica-773 author: Bouasabah, Mohammed title: Comparative Study Between Local And Global Optimization For Heston Model date: 2022-06-30 words: 2601 flesch: 61 summary: Keywords: Heston Model; Local calibration; Global calibration. In this study, first, we will give the explicit form of call currency option prices based on the Heston model as well as the calibration parameters that must be computed. keywords: calibration; heston; model; optimization; parameters cache: ratiomathematica-773.pdf plain text: ratiomathematica-773.txt item: #319 of 425 id: ratiomathematica-776 author: Myithili, K.K.; Nandhini, C. title: Mixed Picture Fuzzy Graph date: 2022-06-30 words: 5825 flesch: 73 summary: Ratio Mathematica Volume 42, 2022 Mixed Picture Fuzzy Graph Myithili Kothandapani * Nandhini Chandrasekar † Abstract A new form of picture fuzzy graph has been identified and extended here as Mixed Picture Fuzzy Graph (MPFG). [3] Cen Zuo, Anita Pal & Arindam Dey, New Concepts of picture fuzzy graphs with application, Mathematics, 2019, 7(5), 470, 1-18. keywords: gmpf; graph; membership; mpfg; picture cache: ratiomathematica-776.pdf plain text: ratiomathematica-776.txt item: #320 of 425 id: ratiomathematica-78 author: Ameri, R.; Hedayati, H. title: Homomorphism and quotient of fuzzy k-hyperideals date: 2010-12-08 words: 4082 flesch: 89 summary: ∈ R such that 0.x = 0 = x.0 and 0 ∈ R we have (i) aθb =⇒ (a + x)θ(b + x) and (x + a)θ(x + b), (ii) aθb =⇒ (ax)θ(bx) and (xa)θ(bx). keywords: fuzzy cache: ratiomathematica-78.pdf plain text: ratiomathematica-78.txt item: #321 of 425 id: ratiomathematica-782 author: Balan Shakila, Vinchu; Jeyaraman, M title: Some Results in Hausdorff Neutrosophic Metric Spaces on Hutchinson-Barnsley Operator date: 2022-09-25 words: 6371 flesch: 81 summary: Then 𝐻𝛯 ({𝑝 ∈ 𝑃: 𝑃 ∈ 𝔓}, {𝑞 ∈ 𝑄 ∶ 𝑄 ∈ 𝔔}, λ) ≥ ℋ𝐻𝛯 (𝔓, 𝔔, λ), 𝐻𝛩 ({𝑝 ∈ 𝑃: 𝑃 ∈ 𝔓}, {𝑞 ∈ : 𝑄 ∈ 𝔔}, λ) ≤ ℋ𝐻𝛩 (𝔓, 𝔔, λ) and 𝐻𝛶 ({𝑝 ∈ 𝑃: It follows that 𝛯({𝑞 ∈ 𝑄, 𝑄 ∈ 𝔔}, {𝑝 ∈ 𝑃: 𝑃 ∈ 𝔓}, λ) = inf {𝑞 ∈ 𝑄: keywords: inf 𝑃; sup 𝑄; ∈ 𝑃; ∈ 𝔓; ∈ 𝔔; 𝑃 𝛩; 𝑃 𝛯; 𝑃 𝛶; 𝑄 ∈; 𝑄 𝛩 cache: ratiomathematica-782.pdf plain text: ratiomathematica-782.txt item: #322 of 425 id: ratiomathematica-786 author: Zhang, Xiaoxue; Liu, Hongxing title: Connections Between Ideals Of Semisimple Emv-algebras And Set-theoretic Filters date: 2022-09-25 words: 6209 flesch: 91 summary: [0, 1]Ω. The sets Uc(f),f ∈ M form a basis of the topology on Pc(M), where Uc(f) = {I ∈ Pc(M) In Section 3, we start by introducing the limits of f ∈ M along a filter F on Ω. keywords: algebra; emv; ideal cache: ratiomathematica-786.pdf plain text: ratiomathematica-786.txt item: #323 of 425 id: ratiomathematica-79 author: Hedayati, H. title: On properties of fuzzy subspaces of vectorspaces date: 2009-12-11 words: 2383 flesch: 90 summary: On properties of fuzzy subspaces of vectorspaces H. Hedayati Department of Mathematics, Faculty of Basic Science, Babol University of Technology, Babol, Iran E-mail: h.hedayati@nit.ac.ir, hedayati143@yahoo.com Abstract In this paper, we introduce the notion of normal fuzzy subspace of vector spaces. We also show that, under certain conditions, a fuzzy subspace of a vector space is two-valued and takes 0 and 1. Mathematics Subject Classification: 08A72 Keywords: vector space, fuzzy subspace, normal fuzzy subspace 1 Introduction Zadeh in [17] introduced the notion of fuzzy set and started a generalized logic. keywords: subspace cache: ratiomathematica-79.pdf plain text: ratiomathematica-79.txt item: #324 of 425 id: ratiomathematica-791 author: Tidke, Haribhau Laxman; Patil, Gajanan Suresh; More, Rupesh Tulshiram title: Existence and Uniqueness of solution of Volterra Integrodifferential Equation of Fractional Order via S-Iteration date: 2022-12-30 words: 5731 flesch: 81 summary: Haribhau L. Tidke, Gajanan S. Patil and Rupesh T. More 1 Introduction We consider the following Volterra integrodifferential equation of fractional order involving the Caputo fractional derivative of the type: ( Dα∗a ) y(t) = F ( t,y(t), ∫ t a h ( s,y(s) ) ds ) , (1) for t ∈ t ∈ [a,b] is called the (left-sided) Caputo derivative of h of order α. keywords: γ(α cache: ratiomathematica-791.pdf plain text: ratiomathematica-791.txt item: #325 of 425 id: ratiomathematica-794 author: Lal, Shyam; Singh, Deepak Kumar title: Moduli of continuity of functions in Holder’s class by First kind Chebyshev Wavelets and Its Applications in the Solution of Lane-Emden Differential Equations date: 2023-06-30 words: 7246 flesch: 79 summary: |en(t)| ≤ 2k π (∫ n 2k−1 n−1 2k−1 |(f(x) − f(t))||ωk(x)|dx ) = 2k π (∫ n 2k−1 n−1 2k−1 |(f(x) − f(t))|| √ ωk(x)|| √ ωk(x)|dx ) ≤ 2k π (∫ n 2k−1 n−1 2k−1 (|(f(x) − f(t))|)2 |ωk(x)dx )1 2 (∫ n 2k−1 n−1 2k−1 |ωk(x)|dx )1 2 ∫ n 2k−1 n−1 2k−1 |ωk(x)|dx = ∫ n 2k−1 n−1 2k−1 |ω(2kx − 2n + 1)|dx = π 2k |en(t)| ≤ 2k π (∫ n 2k−1 n−1 2k−1 (|(f(x) − f(t))|)2 |ωk(x)dx )1 2 ( π 2k )1 2 = 2k π (∫ n 2k−1 n−1 2k−1 (|(f(x) − f(t))|)2 |ω(2kx − 2n + 1)dx )1 2 ( π 2k )1 2 = 2k π (∫ 1 −1 ( |f ( v + 2n − 1 2k ) − f(t)| )2 |ω(v)| dv 2k )1 2 ( π 2k )1 2 59 Moduli of continuity of functions in Hölder’s class.... |en(t)| ≤ 1 √ π (∫ 1 −1 ( |f ( v + 2n − 1 2k ) − f(t)| )2 |ω(v)|dv )1 2 = 1 √ π (∫ 1 0 ∣∣∣∣f ( v + 2n − 1 2k ) = sup 0 ϑ > w. S(hξ,hϑ,hw) = S( 4 3 − ξ, 4 3 − ϑ, 4 3 − w) = max{| 4 3 − ξ − ( 4 3 − w)|, | Without loss of generality, we assume that ϑ > w. S(hξ,hϑ,hw) = S( 4 3 − ξ, 1 2 , 1 2 ) = max{| 4 3 − ξ − 1 2 |, | 1 2 − 1 2 |} = ξ − 5 6 ≤ 1 6 ≤ 4 15 = 2 3 − 2 5 ≤ S(ξ,ξ,hξ) − S(ξ,ξ,hξ) 1 + S(ξ,ξ,hξ) keywords: metric cache: ratiomathematica-855.pdf plain text: ratiomathematica-855.txt item: #349 of 425 id: ratiomathematica-86 author: Corsini, Piergiulio title: History and new possible research directions of hyperstructures date: 2011-12-18 words: 6173 flesch: 55 summary: o > is called hypergroupoid and is denoted . o keywords: corsini; fuzzy; hypergroups; hyperstructures; join; journal; leoreanu; mathematics; sets; spaces; univ; vol cache: ratiomathematica-86.pdf plain text: ratiomathematica-86.txt item: #350 of 425 id: ratiomathematica-860 author: KM, Reshmi; Pilakkat, Raji title: Transit in corona product of graphs date: 2023-06-30 words: 3465 flesch: 91 summary: − 1)(n − k) 2 + (k − 1)(n − k − 1)2n2(n2 + 1) = (k − 1)(n2 + 1)(n − k) 2 [ (n2 + 1)(n + 1) + 4n2 ] 265 Transit in Corona product of graphs In a similar manner we compute Tk(k) Tk(k) = n∑ k ̸=i=1 From Theorem 3.8, we have T(k) = (k − 1)(n2 + 1)(n − k) keywords: transit cache: ratiomathematica-860.pdf plain text: ratiomathematica-860.txt item: #351 of 425 id: ratiomathematica-861 author: K, Janofer; Fatima, S.Firthous title: Connected End Anti-Fuzzy Equitable Dominating Set In Anti-Fuzzy Graphs date: 2023-06-30 words: 3036 flesch: 74 summary: Ratio Mathematica Volume 47, 2023 Connected end anti-fuzzy equitable dominating set in anti-fuzzy graphs S. Firthous Fatima* K. Janofer† [7] introduced domination in anti-fuzzy graphs. keywords: equitable; graph 𝐺𝐴𝐹; set; 𝐺𝐴𝐹 cache: ratiomathematica-861.pdf plain text: ratiomathematica-861.txt item: #352 of 425 id: ratiomathematica-866 author: Priscilla, A . Ruby; Fatima, S.Firthous title: Minimal Reinhard Zumkeller divisor cordial graphs date: 2023-06-30 words: 4668 flesch: 80 summary: It also probes the existence of minimal Reinhard Zumkeller divisor cordial labeling of path, cycle, star K1,s, complete bipartite, complete graph Kn for n < 17 , tadpole graph Tn,k for all values of n and k. Keywords: Zumkeller graph, divisor cordial labeling, Zumkeller divisor cordial graph. 2010 AMS subject classifications: 05C78. n < 17 K17 is not Reinhard Zumkeller divisor cordial graph. keywords: graph; vertices; zumkeller cache: ratiomathematica-866.pdf plain text: ratiomathematica-866.txt item: #353 of 425 id: ratiomathematica-87 author: Acocella, Nicola; Di Bartolomeo, Giovanni title: Existence and Policy Effectiveness in Feedback Nash LQ-Games date: 2008-12-17 words: 3068 flesch: 57 summary: Second, we need to redefine policy ineffectiveness, since its classical definition2 cannot be maintained in the realm of policy games as policy instruments are endogenous variables, whose values really depend on the preferences of the decision-makers. This new approach shows how the classical theory of economic policy can profitably be used to define some general properties of policy games. keywords: economic; equilibrium; games; policy cache: ratiomathematica-87.pdf plain text: ratiomathematica-87.txt item: #354 of 425 id: ratiomathematica-871 author: Jayasekaran, C.; Prakash, S.V. Ashwin title: Detour Global Domination for Degree Splitting graphs of some graphs date: 2023-06-30 words: 2777 flesch: 78 summary: [6] For m, n ≥ 2, γ̄d(Km,n) = 2. 292 C. Jayasekaran, S.V. Ashwin Prakash 3 Degree Splitting graphs of known graphs and their Detour Global Domination number Let us find detour global domination number of degree splitting graph DS(G) of the graphs path, cycle, star, bistar, complete bipartite and complete graph. Detour global domination number of some graphs. keywords: detour; graph; set cache: ratiomathematica-871.pdf plain text: ratiomathematica-871.txt item: #355 of 425 id: ratiomathematica-874 author: K.R, Vidhya; C.R, Parvathy title: Application Of Homotopy To The Ageing Process Of Human Bone date: 2023-06-30 words: 2889 flesch: 66 summary: 4. Description of ageing human bone function The inherent properties of the human body can be explored topologically. Ratio Mathematica Volume 43, 2023 Application of homotopy to the ageing process of human bone Parvathy Chennimalai Ramanathan * Vidhya Kuduva Rengaraj † Abstract keywords: age; ageing; bone; homotopy; human cache: ratiomathematica-874.pdf plain text: ratiomathematica-874.txt item: #356 of 425 id: ratiomathematica-88 author: Mascella, R. title: LA GEOMETRIA NON-ARCHIMEDEA. DALLE PREMESSE AGLI INFINITI MODELLI ATTUALI date: 2006-02-17 words: 16204 flesch: 53 summary: In alcuni casi la critica fu molto accentuata, come nel caso della stroncatura da parte di Peano, che concludeva la sua recensione indicando nella mancanza di precisione e di rigore di Veronese un elemento che toglieva ogni valore allo studio. i cerchi stanno fra loro in ragione duplicata dei diametri, e che le sfere stanno in ragione triplicata dei diametri, e ancora che ogni piramide è la terza parte del prisma avente la stessa base della piramide ed uguale altezza, e che qualunque cono è la terza parte del cilindro avente la stessa base del cono ed altezza uguale, ciò assumendo un lemma simile a quello suddetto keywords: alla; anche; ancora; angoli; archimedea; attuali; campo; cantor; caso; che; che il; che la; che non; che si; civita; ciò; come; con; con il; con la; continuità; continuo; cui; dal; dedekind; degli; dei; della; della geometria; di archimede; di numeri; di un; di veronese; dunque; e che; e di; ed il; elementi; esempio; esiste; essere; fatto; forma; geometria; geometria non; gli; grandezze; gruppo; hilbert; infinitesimi; infiniti; la geometria; levi; l’assioma; l’infinito; maggiore; mascella; matematica; modelli; modo; nel; non; non è; numeri; ogni; ordinato; ovvero; parte; particolare; perché; più; possiamo; possibilità; possono; postulato; postulato di; proprietà; punto; può; quello; questa; reali; retta; rispetto; segmento; sempre; sia; sono; spazio; stesso; sua; sulla; suo; tale; tali; teoria; tra; tutti; una; uno; veronese; vol; è il; è un cache: ratiomathematica-88.pdf plain text: ratiomathematica-88.txt item: #357 of 425 id: ratiomathematica-882 author: Paul, Mahendranath; Banerjee, Amar Kumar title: Weak and weak*I^K-convergence in normed spaces date: 2023-06-30 words: 6426 flesch: 85 summary: It is easy to observe that weak I-limit of a weak I-convergent sequence is unique and moreover for an admissible ideal I, weak convergence implies weak I-convergence with the same limit point but converse part is not true which has been shown in paper Also we study the ideas of weak IK and weak* IK -limit points to investigate the properties in the same space. keywords: sequence; weak cache: ratiomathematica-882.pdf plain text: ratiomathematica-882.txt item: #358 of 425 id: ratiomathematica-884 author: Jasmine Elizabeth, J; G, Hari Siva Annam title: Further Diversification of Nano Binary Open Sets date: 2022-12-11 words: 4108 flesch: 96 summary: − 𝑁𝐵 _𝐸(𝐴1, 𝐴2)] 5) 𝑁𝐵 𝑜 (𝐴1, 𝐴2) ⊆ 𝑁𝐵 _𝐸(𝑁𝐵 _𝐸(𝐴1, 𝐴2) 6) 𝑁𝐵 𝑜 (𝐴1, 𝐴2), 𝑁𝐵 _𝐸(𝐴1, 𝐴2), 𝑁𝐵 _ 11)𝑁𝐵 𝑜 (𝐴1, 𝐴2) ∪ 𝑁𝐵 _𝐵(𝐴1, 𝐴2) = 𝑁𝐵 𝑜 (𝐴1, 𝐴2) ∪ ((𝐴1, 𝐴2) − 𝑁𝐵 𝑜 (𝐴1, 𝐴2)) keywords: 𝑁𝐵 𝑜 cache: ratiomathematica-884.pdf plain text: ratiomathematica-884.txt item: #359 of 425 id: ratiomathematica-885 author: Keerthana, R G; K.R., Sobha title: Fuzzy Translationin Fuzzy d-Ideals and Fuzzy d-Subalgebra date: 2022-12-11 words: 1427 flesch: 76 summary: The study of fuzzy subsets and its applications to various mathematical contexts has given rise to what is now commonly called fuzzy mathematics. [1] M. Akram and K.H. Dar, On fuzzy d-algebra, Punjab University Journal of Math, 37 (2005), 61-76. keywords: 𝜇𝐴)𝛼 𝑇 cache: ratiomathematica-885.pdf plain text: ratiomathematica-885.txt item: #360 of 425 id: ratiomathematica-886 author: Anggelinshiny, T; Anitha, Baby title: Connected Hub Sets and Connected Hub Polynomials of the Lollipop Graph L_(p,1) date: 2022-12-11 words: 2513 flesch: 84 summary: Therefore, ℎ𝑐 (𝐿𝑝,1,𝑘) = ( 𝑝 𝑘 − 1 ) for all 2 ≤ 𝑘 ≤ 𝑝 + 1 and 𝑘 ≠ 𝑝 − 1. (ii) From Theorem 2.4, we have ℎ𝑐 (𝐿𝑝,1, 𝑘) = ( 𝑝 + 1 𝑘 ) ℎ𝑐 (𝐿𝑝−1,1, 2) = ( 𝑝 − 1 1 ) and ℎ𝑐 (𝐿𝑝−1,1, 1) = ( 𝑝 − 1 0 ) keywords: 𝐿𝑝,1; 𝐿𝑝−1,1 cache: ratiomathematica-886.pdf plain text: ratiomathematica-886.txt item: #361 of 425 id: ratiomathematica-887 author: Santa, S; T, Subasini title: Markov Chain Model and its Application Yearly Rainfall Data in Nagapattinam District date: 2022-12-11 words: 1718 flesch: 70 summary: 0 500 1000 1500 2000 2 0 0 1 2 0 0 2 2 0 0 3 2 0 0 4 2 0 0 5 2 0 0 6 2 0 0 7 2 0 0 8 2 0 0 9 2 0 1 0 2 0 1 1 2 0 1 2 2 0 1 3 2 0 1 4 2 0 1 5 2 0 1 6 2 0 1 7 2 0 1 8 2 0 1 9 2 0 2 0 37 Markov Chain Model and Its Application Yearly Rainfall Data in Nagapattinam District From Figure 1 time-series analysis of yearly rainfall is converted into rainfall states prepared by a suitable frequency distribution table. This paper has analyzed yearly rainfall in the Nagapattinam district and formulated three-state models. keywords: chain; markov; rainfall; state cache: ratiomathematica-887.pdf plain text: ratiomathematica-887.txt item: #362 of 425 id: ratiomathematica-888 author: Gladys Mano Amirtha, V; D., Premalatha title: On the effect of doubling of intervals on the 0-distributive property of the lattice of weak congruences of chains date: 2022-12-11 words: 3848 flesch: 92 summary: 𝐵. This is a contradiction, since 𝐴 ∧ 𝐵 = (𝜙, 0). 𝐵. This is a contradiction, since 𝐴 ∧ 𝐵 = (𝜙, 0). keywords: 𝐴 ∧; 𝐵 𝑜𝑟; 𝐶 ∈; 𝑎𝑛𝑑 𝐵 cache: ratiomathematica-888.pdf plain text: ratiomathematica-888.txt item: #363 of 425 id: ratiomathematica-89 author: Pelusi, Danilo; Centorame, Gianpiero title: Logica fuzzy e calcolo delle probabilità: due facce della stessa medaglia? date: 2006-02-17 words: 2856 flesch: 57 summary: E’ tipica delle scommesse, per esempio immaginiamo di avere una corsa clandestina di otto cavalli: in base alla definizione classica ciascun cavallo avrebbe 8 1 di probabilità di vincere; per la definizione frequentista occorrerebbe effettuare un numero di prove molto elevato e in base ai risultati attribuire in seguito le probabilità. mentre nella logica fuzzy, il grado di appartenenza è sempre valutato in un punto ben preciso. keywords: appartenenza; che; con; cui; delle; funzione; fuzzy; gli; insieme; logica; nella; non; probabilità; sempre; sono; una cache: ratiomathematica-89.pdf plain text: ratiomathematica-89.txt item: #364 of 425 id: ratiomathematica-890 author: Ebin Raja Merly, E; J, Saranya title: Medium Domination Decomposition of Graphs date: 2022-12-11 words: 1705 flesch: 74 summary: In this paper we have introduced the new concept Medium Domination Decomposition. A decomposition (𝐺1, 𝐺2, … , 𝐺𝑛 ) of a graph G is said to be Medium Domination Decomposition (MDD) if ⌊𝑀𝐷(𝐺𝑖 )⌋ keywords: ⌈𝑀𝐷(𝐺)⌉ cache: ratiomathematica-890.pdf plain text: ratiomathematica-890.txt item: #365 of 425 id: ratiomathematica-891 author: Esther Rathinakani, G; M, Navaneethakrishnan title: On Intuitionistic Semi * Continuous Functions date: 2022-12-11 words: 4937 flesch: 82 summary: [5] If �̃� is an IS of an ITS (X, τ), then the intuitionistic generalized closure of �̃� is defined as the intersection of all Ig – closed sets in X containing �̃� and is denoted by Icl*(�̃�). [6] The intuitionistic semi * interior of �̃� is defined as the union of all intuitionistic semi * open sets of X contained in �̃�. keywords: intuitionistic; semi; ̃ �; � ̃ cache: ratiomathematica-891.pdf plain text: ratiomathematica-891.txt item: #366 of 425 id: ratiomathematica-892 author: Anees Fathima, M; R, Jamuna Rani title: Remarks on Interiors and Closures of Weak Open Sets in Bigeneralized Topological Spaces date: 2022-12-11 words: 2873 flesch: 86 summary: = iµi ( A ∪ iµicµj(A) ) ⊂ iµi ( A ∪ cµj(A) ) = iµicµj(A). (e) iαij ( cµj(A) ) = iµicµj(A). keywords: proof cache: ratiomathematica-892.pdf plain text: ratiomathematica-892.txt item: #367 of 425 id: ratiomathematica-894 author: Lourdu Elqueen, S; Priscilla Pacifica, G title: The Edge-To-Vertex Triangle Free Detor Distance in Graphs date: 2022-12-11 words: 2716 flesch: 83 summary: [9] A. P. Santhakumaran, Center of a graph with respect to edges, SCIENTIA series A: Mathematical Sciences, 19 (2010), 13-23. In this article, the edge-to-vertex triangle free detour distance is introduced. keywords: detour; edge; free; vertex cache: ratiomathematica-894.pdf plain text: ratiomathematica-894.txt item: #368 of 425 id: ratiomathematica-895 author: Sumi, S L; Mary Gleeta, V; Befija Minnie, J title: The Forcing Geodetic Cototal Domination Number of a Graph date: 2022-12-11 words: 2493 flesch: 76 summary: = 𝑎 and 𝛾𝑔𝑐𝑡 (𝐺) = 𝑏. where𝛾𝑔𝑐𝑡 (𝐺) isthe geodetic cototal dominating number of 𝐺. Keywords: geodetic set, cototal dominating set, geodetic cototal dominating set, geodetic cototal domination number, forcing geodetic cototal domination number. A set 𝑆 ⊆ 𝑉 is said to be a geodetic cototal dominating set of 𝐺, If𝑆 is both geodetic set and cototal dominating set of 𝐺. keywords: graph 𝐺; 𝑓𝛾𝑔𝑐𝑡 cache: ratiomathematica-895.pdf plain text: ratiomathematica-895.txt item: #369 of 425 id: ratiomathematica-896 author: Mahiba, M; Ebin Raja Merly, E title: Steiner domination decomposition number of graphs date: 2022-12-11 words: 2722 flesch: 82 summary: If 𝜋𝑠𝑡𝑑 (𝐺) ≥ 2 then 𝐺 is said to be Steiner domination decomposable graph. ≤ 𝑛. Steiner domination decomposition number of 𝐺 is the maximum cardinality obtained for an 𝑆𝐷𝐷 of 𝐺 and is denoted as 𝜋𝑠𝑡𝑑 (𝐺). keywords: graph 𝐺 cache: ratiomathematica-896.pdf plain text: ratiomathematica-896.txt item: #370 of 425 id: ratiomathematica-897 author: Poongodi, S; Sunayana Rani, Asoda title: VLSI Implementation of Multi-Bit Error Detection and Correction Codes for Space Communications date: 2022-12-11 words: 4737 flesch: 64 summary: Then, error location detection module is introduced for identifying the number of error bits with their position. Finally, error correction operation is implemented by performing the complement of error corrected bits. keywords: bits; correction; data; dcc; detection; error; matrix; mbe; memory cache: ratiomathematica-897.pdf plain text: ratiomathematica-897.txt item: #371 of 425 id: ratiomathematica-898 author: Reena, C; Yaamini, K S title: Soft Semi*δ-continuity in Soft Topological Spaces date: 2022-12-11 words: 4871 flesch: 85 summary: [10] Let �̃� be the collection of soft set over 𝑋. Then �̃� is said to be a soft topology on 𝑋 if 1) ϕ̃, �̃� belongs to �̃� 2) The union of any number of soft sets in �̃� belongs to �̃� 3) The intersection of any two soft sets in �̃� belongs to �̃�. keywords: soft; 𝐺,𝐵; 𝑋 = cache: ratiomathematica-898.pdf plain text: ratiomathematica-898.txt item: #372 of 425 id: ratiomathematica-90 author: Janovitz, Alessandro title: Studi liceali di matematici ebrei nella Mantova del tardo Ottocento date: 2008-12-17 words: 4390 flesch: 63 summary: Nella prima, relativa al liceo, alla prima colonna corrisponde l’anno di corso, alla seconda l’anno di riferimento (e precisamente il 1864, il 1875 e il 1890), a ciascuna delle successive una materia di insegnamento; a ogni colonna corrisponde, invece, l’anno di corso e per ognuno di essi si presenta il numero di ore settimanali a seconda dell’anno di riferimento. al reale Istituto Tecnico Alberto Pitentino e Scuola Agraria Carpi, ove, nel 1888, ottenne la licenza.2 Iscrittosi, a Torino, a ingegneria, scelse però presto il corso di matematica, in cui si laureò con lode. keywords: adolfo; all’università; anno; con; dal; della; fano; finzi; gino; liceo; loria; mantova; matematica; nel; ratio; rimini; scienze; scuola; studi; tecnico; torino; una; viterbi; vivanti cache: ratiomathematica-90.pdf plain text: ratiomathematica-90.txt item: #373 of 425 id: ratiomathematica-900 author: Anbarasi Rodrigo, P; Subithra, P title: A New Class of Nano Generalized Closed Sets in Nano Topological Spaces date: 2022-12-11 words: 5397 flesch: 93 summary: The elements of 𝜏ℝ(𝕏) are called as nano open sets. He has defined nano closed sets, nano-interior and nano-closure of a set. keywords: ℝ ⊆ℕ; ⊆ℕ ℕ𝛼𝑐𝑙(𝕊; ⊆ℕ 𝔽; 𝕊 ⊆ℕ; 𝕊 ⊆ℕ𝔽 cache: ratiomathematica-900.pdf plain text: ratiomathematica-900.txt item: #374 of 425 id: ratiomathematica-901 author: Reena, C; Karthika, M title: Soft 〖"Pre" 〗^*-Generalized Continuous Functions in Soft Topological Spaces date: 2022-12-11 words: 2280 flesch: 62 summary: [7] Let be a collection of soft sets over . The union of any number of soft sets in belongs to . keywords: closed; irresolute; set cache: ratiomathematica-901.pdf plain text: ratiomathematica-901.txt item: #375 of 425 id: ratiomathematica-902 author: Anila Maily, J; Velayutham, C; Mohamed Sathik, M title: Motor Imagery Classification Using Rough Neural Network date: 2022-12-11 words: 2375 flesch: 54 summary: 156 Motor Imagery Classification Using Rough Neural Network 3. Literature Review Hong K-S et al., (2018), [9] presented a brain-computer interface (BCI) framework for hybrid functional near-infrared spectroscopy (fNIRS) and electroencephalography (EEG) for locked-in syndrome (LIS) patients. (3) The weights assigned between the input and the hidden layer and the hidden and output layer are updated as: Classification using Rough Neural Network Dr. Cichocki's Lab’s Motor Imagery EEG Data Feature Extraction by Mean Correlation Preprocessing by Normalization and discretization Feature selection by Quick Reduct Algorithm 158 Motor Imagery Classification Using Rough Neural Network S l. N o . keywords: brain; classification; classifier; imagery; motor; network; neural cache: ratiomathematica-902.pdf plain text: ratiomathematica-902.txt item: #376 of 425 id: ratiomathematica-903 author: Jeba Raj, T; Bensiger, K title: The Upper and Forcing Fault Tolerant Geodetic Number of a Graph date: 2022-12-11 words: 2238 flesch: 72 summary: It is shown that for every pair of with , there exists a connected graph such that and , where is the fault tolerant geodetic number of and is the upper fault tolerant geodetic number of a graph. For the graph given in Figure 3.1, are the only two -sets of so that so that and The next theorem follows immediately from the definition of the forcing fault tolerant geodetic number of the graph. 171 T. Jeba Raj & K. Bensiger Theorem 3.3. keywords: fault; graph; let cache: ratiomathematica-903.pdf plain text: ratiomathematica-903.txt item: #377 of 425 id: ratiomathematica-904 author: Ebin RajaMerly, E; Praisy, B title: Split Domination Decomposition of Path Graphs date: 2022-12-11 words: 1919 flesch: 70 summary: Keywords: split domination, decomposition, split domination decomposition. Proof: Let Pp=u1u2 … up be a path of order p. Assume that Pp , 3n2−3n+6 2 ≤ p ≤ 3n2+n+2 2 admits split domination decomposition (G1, G2, G3,…, Gn). keywords: decomposition; domination; split cache: ratiomathematica-904.pdf plain text: ratiomathematica-904.txt item: #378 of 425 id: ratiomathematica-906 author: Sunitha, K; Sheriba, M title: Gaussian Tribonacci R-Graceful Labeling of Some Tree Related Graphs date: 2022-12-11 words: 2320 flesch: 69 summary: Keywords: Gaussian Tribonacci sequence, Gaussian Tribonacci graceful labeling, Path graph, Comb graph, Coconut Tree graph, Regular caterpillar graph, Bistar graph and Subdivision of Bistar graph. If a graph G admits Gaussian Tribonacci graceful labeling, then G is called a Gaussian Tribonacci graceful graph. keywords: gaussian; graph; labeling; tribonacci cache: ratiomathematica-906.pdf plain text: ratiomathematica-906.txt item: #379 of 425 id: ratiomathematica-907 author: Francis Jude Shini, K.A; Durai Raj, S; Lenin Xaviour, X; Anto, A.M title: On The Study of Edge Monophonic Vertex Covering Number date: 2022-12-11 words: 2325 flesch: 62 summary: Keywords: monophonic set; edge monophonic set; vertex coveringset; edgemonophonic vertex cover; edge monophonic vertex covering number. Any edge monophonic vertex cover of cardinality 𝒎𝒆𝜶(𝑮) is a 𝒎𝒆𝜶(𝑮)-set of G. Some general properties satisfied by edge monophonic vertex cover are studied. keywords: edge; monophonic; set; vertex cache: ratiomathematica-907.pdf plain text: ratiomathematica-907.txt item: #380 of 425 id: ratiomathematica-908 author: Revathi, R.V; Antony, M title: The Detour Domination and Connected Detour Domination values of a graph date: 2022-12-11 words: 2027 flesch: 68 summary: Keywords: domination number; detour number; detour domination value; connected detour domination value; etc. 2010 AMS subject classification: 05C15, 05C69 3 1 Register Number 19133232092002, Research Scholar, Department of Mathematics, St. Jude’s College, Thoothoor - 629 176, Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli - 627 012, Tamil Nadu, India; revathi87gowri@gmail.com. [4] T.W. Haynes, P.J. Slater and S.T. Hedetniemi, Fundamentals of Domination in graphs, Marcel Dekker, New York, (1998). keywords: detour; domination; graph cache: ratiomathematica-908.pdf plain text: ratiomathematica-908.txt item: #381 of 425 id: ratiomathematica-909 author: Vidya, Kamma; Sridevi, Gutta; Teja Santosh, Dandibhotla title: Extraction of aspects from Online Reviews Using a Convolution Neural Network date: 2022-12-11 words: 2732 flesch: 55 summary: This model uses three input channels for aspect extraction. This raised the problem of aspect extraction for sentiment analysis. keywords: aspect; embeddings; extraction; layer; model; neural; reviews; word cache: ratiomathematica-909.pdf plain text: ratiomathematica-909.txt item: #382 of 425 id: ratiomathematica-91 author: Mascella, R.; Pelusi, D. title: UNO SCIENZIATO ABRUZZESE: ANDREA ARGOLI. date: 2006-02-17 words: 1713 flesch: 55 summary: i movimenti semplici il circolare e il rettilineo2, ciò dipende dal fatto che l’ambiente padovano era, ancora a metà del secolo XVII, impregnato di aristotelismo. di altri argomenti. keywords: alla; che; con; degli; dei; del; della; nel; non; più; tra; una cache: ratiomathematica-91.pdf plain text: ratiomathematica-91.txt item: #383 of 425 id: ratiomathematica-910 author: Muthuraj, R; Yamuna, S title: Properties of Intuitionistic Multi-Anti Fuzzy Normal Ring date: 2022-12-11 words: 2727 flesch: 83 summary: R2, then it is not necessarily that both G and H are intuitionistic multi-anti fuzzy normal subrings of R1 andR2 respectively. In this section, the properties of intuitionistic multi-anti fuzzy normal subring of a ring under homomorphism and anti homomorphism are discussed. keywords: anti; subring cache: ratiomathematica-910.pdf plain text: ratiomathematica-910.txt item: #384 of 425 id: ratiomathematica-911 author: Muthuraj, R; Krithika, K; Revathi, S title: Various Product on Multi Fuzzy Graphs date: 2022-12-11 words: 4422 flesch: 80 summary: Key Words: Multi fuzzy graph, complement of multi fuzzy graph, direct sum, direct product, cartesian product, strong product, composition, corona product, AMS Subject Classification: 03E72, 05C72, 05C07 4 1 PG and Research Department of Mathematics, H.H. In this paper complement of multi fuzzy graph, direct sum of two multi fuzzy graphs and various product on multi fuzzy graphs are defined and proved some theorems related to them. keywords: fuzzy; graph; iiii; multi; product; vuvu;  cache: ratiomathematica-911.pdf plain text: ratiomathematica-911.txt item: #385 of 425 id: ratiomathematica-912 author: Rosemathy, Y; Alli, K title: Soft Igδs-Closed Functions date: 2022-12-11 words: 6447 flesch: 88 summary: soft sets, soft topological spaces, soft regular open, soft δ-cluster point, soft Igδs-closed functions, soft strongly Igδs-closed functions. Introduction The concept of soft sets was first introduced by Molodtsov keywords: function; set; sigδs cache: ratiomathematica-912.pdf plain text: ratiomathematica-912.txt item: #386 of 425 id: ratiomathematica-913 author: Lena, B; Ragavan, C title: G_(α,β) Antagonistic Intuitionistic Fuzzy Sub Commutative Ideals of Subtraction G-Algebra date: 2022-12-11 words: 3155 flesch: 90 summary: An intuitionistic fuzzy set A = {x, ΨA(x), ΩA(x): x ∈ X} in X is called an intuitionistic fuzzy ideal of X if it satisfies (F5) ΨA (0) ≥ ΨA (x), ΩA(0) ≤ ΩA (x), (F6) ΨA (x) ≥ min {ΨA (x - y), ΨA (y)} and (F7) ΩA(x) ≤ max {ΩA (x - y), ΩA(y)} for all x, y ∈X. Definition 2.8. keywords: y x cache: ratiomathematica-913.pdf plain text: ratiomathematica-913.txt item: #387 of 425 id: ratiomathematica-914 author: Melna Frincy, M; RobertVictor Edward, J title: Relationship Between Weight Function and 1 – Norm date: 2022-12-11 words: 668 flesch: 71 summary: Keywords:mininorm, mininormed space, 1-norm, weight function. Now for all Thus, where denotes the composition of functions. keywords: function; weight cache: ratiomathematica-914.pdf plain text: ratiomathematica-914.txt item: #388 of 425 id: ratiomathematica-915 author: Sree Vidya, M; Sandhya, S.S title: On Forgotten Index of Stolarsky-3 Mean Graphs date: 2022-12-11 words: 1172 flesch: 75 summary: Inthispaperweinvestigate Forgotten index of some standard graphs which admit Forgotten Mean graphs. In this paper, we introduced Forgotten index of some standard Stolarsky-3 Mean Graphs. keywords: index; mean cache: ratiomathematica-915.pdf plain text: ratiomathematica-915.txt item: #389 of 425 id: ratiomathematica-916 author: Sree Vidya, M; Sandhya, S.S title: Odd Fibonacci Stolarsky-3 Mean Labeling of Some Special Graphs date: 2022-12-11 words: 1294 flesch: 81 summary: Odd Fibonacci Stolarsky-3 Mean labeling is called Odd Fibonacci Stolarsky-3 Mean graph. For all detailed survey of graph labeling, we refer to Galian keywords: fibonacci; graph; labeling cache: ratiomathematica-916.pdf plain text: ratiomathematica-916.txt item: #390 of 425 id: ratiomathematica-917 author: Reena, C; Kanaga, M title: Nano Semi*α-open sets date: 2022-12-11 words: 4052 flesch: 89 summary: Ratio Mathematica Volume 44, 2022 Nano Semi* -open sets Reena C * Kanaga M † Abstract In this paper, we introduce a new class of sets called nano semi* -open sets and discuss some of its properties in nano topological space. In this paper we introduce nano semi* -open sets and nano semi * -closed sets in nano topological spaces. keywords: -open; let; nano; nano semi; semi cache: ratiomathematica-917.pdf plain text: ratiomathematica-917.txt item: #391 of 425 id: ratiomathematica-918 author: Sivabalan, M; Sundar Raj, S; Nagarajan, V title: The Detour Monophonic Convexity Number of a Graph date: 2022-12-11 words: 2288 flesch: 82 summary: + 1), where𝐶𝑚(𝐺) is the monophonic convexity number of 𝐺. Keywords: convex, detour, chord, detour monophonic path, monophonic convexity number, detour monophonic, convexity number. The detour monophonic distance 𝑑𝑚(u,v) between two vertices u and v is the length of a longest u-v monophonic path in G, Any monophonic path of length dm(u,v) is called u-v detour monophonic path. keywords: graph 𝐺; 𝐶𝑑𝑚(𝐺 cache: ratiomathematica-918.pdf plain text: ratiomathematica-918.txt item: #392 of 425 id: ratiomathematica-919 author: Christy Rani, K; Pricilla Pacifica, G title: Outer independent square free detour number of a graph date: 2022-12-11 words: 1807 flesch: 73 summary: We characterize the graph which realizes the result that for any pair of integers and with there exists a connected graph of order with square free detour number and outer independent square free detour number Keywords: square free detour set; outer independent square free detour set; outer independent square free detour number. 2010 subject classification: 05C12, 05C38 ‡ * Research Scholar, Reg. Outer independent square free detour number of a graph Definition 3.1 Let be a simple connected graph of order A set of vertices is called an outer independent square free detour set in if is a square free detour set such that either or is independent. keywords: detour; set; square cache: ratiomathematica-919.pdf plain text: ratiomathematica-919.txt item: #393 of 425 id: ratiomathematica-92 author: BIZZARRI, B.; EUGENI, F.; TONDINI, D. title: NUOVI CRITERI DI DIVISIBILITÀ date: 2006-02-17 words: 6332 flesch: 84 summary: 1 9X   ; 8m  ; 2r  ; 2 12 X k m        ;  2 4X km  ; 1 0 1 24 ...n nC C C C C 1 9X   ; 9m  ; 2r  ; 2 11 X k m        ;  2 1X km  ; 1 0 1 2...n nC C C C C 1 9X   ; 10m  ; 2r  ; 10k  ;  2 0X km  ; 1 0C C 1 9X   ; 11m  ; 2r  ; 9k  ;  2 1X km  ; 1 0 1 2...n nC C C C C 1 9X   ; 12m  ; 2r  ; 8k  ;  2 4X km  ; 1 0 1 24 ...n nC C C C C 1 9X   ; 13m  ; 2r  ; 7k  ;  2 9 4X km    ; 1 0 1 2 1 0 1 29 ... 4 ...n n n nC C C C C C C C C C    1 9X   ; 14m  ; 2r  ; 7k  ;  2 2X km  ; 1 0 1 22 ...n nC C C C C 1 9X   ; 15m  ; 2r  ; 6k  ;  2 10 5X km    ; 1 0 1 25 ...n nC C C C C 1 9X   ; 16m  ; 2r  ; 6k  ;  2 4X km  ; 1 0 1 24 ...n nC C C C C C C C C C C C     keywords: c c; c; km; n n; nc c;   cache: ratiomathematica-92.pdf plain text: ratiomathematica-92.txt item: #394 of 425 id: ratiomathematica-920 author: Mohamed Rilwan, N; Nilofer, A title: Totally magic d-lucky number of graphs date: 2022-12-11 words: 2773 flesch: 89 summary: [2] S. Czerwinski, J. Grytczuk, V. Zelazny, lucky labeling of graphs. In [2], The idea of lucky labeling was first proposed by Czerwinski, Grytczuk, and Zelezny. keywords: graph; labeling; magic cache: ratiomathematica-920.pdf plain text: ratiomathematica-920.txt item: #395 of 425 id: ratiomathematica-921 author: Johnwin Beaula, N.E; Joseph Robin, S title: The Outer Connected Detour Monophonic Number of a Graph date: 2022-12-11 words: 2734 flesch: 77 summary: = 𝑏. Keywords: chord, monophonic path, monophonic number, detour monophonic path, detour monophonic number, outer connected detour monophonic number. Consequently, 𝑀 ⊂ 𝑋𝑈𝑌.Which suggests 𝑀 is not aouter connected detour monophonic set of G, which is in contrast with the statement made earlier. keywords: detour; graph 𝐺; monophonic; 𝐺. 𝑀 cache: ratiomathematica-921.pdf plain text: ratiomathematica-921.txt item: #396 of 425 id: ratiomathematica-923 author: Velammal, T M; Nagarajan, A; Palani, K title: Product Signed Domination in Graphs date: 2022-12-11 words: 1811 flesch: 72 summary: Henning, and P.J. Slater (1995), Signed Domination in Graph Theory, In: Graph Theory, Combinatorics and Applications, John Wiley & Sons, New York, 311-322. Case 1: Number of pendant vertices to atleast one of is odd. keywords: function; product; vertices cache: ratiomathematica-923.pdf plain text: ratiomathematica-923.txt item: #397 of 425 id: ratiomathematica-924 author: Esakki Dharani, M; Nagarajan, A; Palani, K title: Independent Restrained k - Rainbow Dominating Function date: 2022-12-11 words: 1909 flesch: 76 summary: , 𝑘} 𝑢∈𝑁[𝑣] then f is called the k – Rainbow Dominating Function (KRDF) of G. A k – Rainbow dominating function is called independent k – Rainbow Domination if vertices assigned with non – empty sets are pairwise non- adjacent. Independent Restrained k – Rainbow Domination number is the minimum weight of G. keywords: function; independent; rainbow cache: ratiomathematica-924.pdf plain text: ratiomathematica-924.txt item: #398 of 425 id: ratiomathematica-925 author: Palani, K; Karthigai Jothi, M title: Semi generalization of δI*-closed sets in ideal topological space date: 2022-12-11 words: 3602 flesch: 93 summary: Then F  G = X or G ⊆F. (ii) Let F and G be maximal gsI*-closed sets. Since F is maximal gsI*-closed, we have F  G = X or F  G = F. keywords: set cache: ratiomathematica-925.pdf plain text: ratiomathematica-925.txt item: #399 of 425 id: ratiomathematica-927 author: Ragha, S; Rajeswari, R title: Some Graph Parameters of Clique graph of Cyclic Subgroup graph on certain Non-Abelian Groups date: 2022-12-11 words: 2904 flesch: 82 summary: Some Graph Parameters of Clique graph of Cyclic Subgroup graph on certain Non-Abelian Groups Theorem 2.1: If 𝒦(Γ𝑧(𝐺)) be a clique graph of cyclic subgroup graph on a non-abelian group, then 𝒦(Γ𝑧 (𝐺)) is biconnected. 4.Some Topological Indices on Clique graph of Cyclic Subgroup graph for certain Non-Abelian Groups Theorem 4.1: If 𝒦(Γ𝑧(𝐺)) be a clique graph of cyclic subgroup graph on a non- abelian group and |𝑉 (𝒦(Γ𝑧(𝐺)))| = 𝑚, then the balaban index is 𝐽 (𝒦(Γ𝑧 (𝐺))) keywords: graph; 𝒦(γ𝑧 cache: ratiomathematica-927.pdf plain text: ratiomathematica-927.txt item: #400 of 425 id: ratiomathematica-928 author: Ramya Devi, U; Uma, K title: Conjunction Weighted Average Method with Fuzzy Expert System for Weather Event Forecasting – A Monthly Outlook date: 2022-12-11 words: 2277 flesch: 63 summary: Membership function of Wind Speed Membership function of Temperature Step 4: Determine the product fuzzy conjunction 𝜇(�̃�) = 𝜇(�̃�1�̃�1)⋀𝜇(�̃�1�̃�2)⋀𝜇(�̃�1�̃�3)⋀𝜇(�̃�1�̃�4)⋀ 𝜇(�̃�1�̃�5) Step 5: 382 Conjunction Weighted Average Method with Fuzzy Expert System for Weather Event Forecasting – A Monthly Outlook Calculate the product fuzzy weighted average defuzzification method �̃� = ∑ ∑ �̃�𝑖∙𝜇 ( 𝑊�̃�) 𝜇 ( 𝑊�̃�) 5 𝑗=1 12 𝑖=1 5. When �̃�1�̃�1 = 97.86 𝜇𝐿𝑜𝑤(�̃�1�̃�1 ) = { 0 �̃�1�̃�1 ≥ 98.10 1 �̃�1�̃�1 = 96.01 (98.10 − �̃�1�̃�1 ) (98.10 − 96.01) 96.01 < �̃�1�̃�1 < 98.10 = 0.11 𝜇𝑀𝑜𝑑𝑒𝑟𝑎𝑡𝑒(�̃�1�̃�1 ) = { 0 �̃�1�̃�1 ≤ 98.11 𝑜𝑟�̃�1�̃�1 ≥ 101.5 (�̃�1�̃�1 − 98.11) (99.13 − 101.5) 98.11 < �̃�1�̃�1 < 99.13 1 �̃�1�̃�1 = 101.5 (101.5 − �̃�1�̃�1 ) (101.5 − 99. .13) 101.5 < �̃�1�̃�1 < 120.0 𝜇𝐻𝑖𝑔ℎ(�̃�1�̃�1 ) = { 0 �̃�1�̃�1 ≤ 101.6 1 �̃�1�̃�1 = 120.0 (�̃�1�̃�1 − 101.6) (120.0 − 101.6) 101.6 < �̃�1�̃�1 < 120.0 Step 4: 383 U. Ramya Devi & K. Uma = 𝜇𝐿𝑜𝑤(�̃�1�̃�1 )⋀𝜇𝐿𝑜𝑤(�̃�1�̃�2)⋀𝜇𝐻𝑖𝑔ℎ(�̃�1�̃�3)⋀𝜇𝐿𝑜𝑤(�̃�1�̃�4)⋀𝜇𝐿𝑜𝑤(�̃�1�̃�5) = 0.11 ⋀0.086 ⋀0.43 keywords: forecasting; weather; ̃ � cache: ratiomathematica-928.pdf plain text: ratiomathematica-928.txt item: #401 of 425 id: ratiomathematica-93 author: Eugeni, Franco; TONDINI, Daniela; VICECONTE, Annamaria title: I Numeri Reali date: 2005-12-17 words: 5558 flesch: 78 summary: Si ottiene: e1 = 2; e2 = 2,25; e3 = 2,369; e4 = 2,441; e5 = 2,48; … continuando appare un numero che cresce verso il numero di prime cifre 2,71 … Possono essere trattate varie questioni tra cui, ad esempio, la catenaria. Vi sono coppie di segmenti AB e CD che sono confrontabili, nel senso che il segmento, ad esempio, CD è m volte la n-sima parte del segmento AB. keywords: + +; che; cifre; classi; come; con; dei; del; della; esempio; nel; non; numero; razionale; sono; una cache: ratiomathematica-93.pdf plain text: ratiomathematica-93.txt item: #402 of 425 id: ratiomathematica-937 author: Aruldoss, A; Chelliah, Selvaraj title: Bi-amalgamated algebra with (n; p)-weakly clean like properties date: 2023-06-30 words: 3476 flesch: 96 summary: Consequently, A ▷◁f,g (K, K′) is (n, p)-clean ring.2 328 A. Aruldoss and C. Selvaraj 3 (n, p)-weakly clean ring Now we introduce the new class of ring. Our first main result gives a necessary and sufficient conditions for A ▷◁f,g (K, K′) to be (n, p)-weakly clean ring. keywords: p)-clean; ring cache: ratiomathematica-937.pdf plain text: ratiomathematica-937.txt item: #403 of 425 id: ratiomathematica-94 author: Kapur, P.K.; Gupta, Deepali; Gupta, Anshu; Jha, P.C. title: Effect of Introduction of Fault and Imperfect Debugging on Release Time date: 2008-12-17 words: 8715 flesch: 60 summary:                …(2.16) h(p) is a continuous function of p on(0,1) and p 0 p 1 lim h(p)            keywords: cost; debugging; fault; release; release time; software; testing; time;   cache: ratiomathematica-94.pdf plain text: ratiomathematica-94.txt item: #404 of 425 id: ratiomathematica-949 author: GK, Mathan Kumar; Siva Annam, G. Hari title: The Extension of Generalized Intuitionistic Topological Spaces date: 2022-12-30 words: 3533 flesch: 81 summary: [6], we have introduced a new type of topology called generalized intuitionistic topological spaces with the help of intuitionistic closed sets. Taking it as an inspiration we introduce µI -irresolute functions in generalized intuitionistic topological spaces throughout this paper. keywords: -irresolute; x,µi cache: ratiomathematica-949.pdf plain text: ratiomathematica-949.txt item: #405 of 425 id: ratiomathematica-95 author: EUGENI, F.; TONDINI, D.; VICECONTE, A. title: Una presentazione dei Quaternioni date: 2005-12-17 words: 2177 flesch: 90 summary: + ∧ − ∧ − ∧ ∧ + ⋅ + ∧ ⋅ =r r r r r r r r r r r r r r r r r r ( ) ( ) ( )2 2 22b x r r a x ab x r b x x r r= ⋅ + − ∧ − − ⋅ =⎡ ⎤⎣ ⎦ r r r r r r r r r r ( ) ( ) ( )2 2 22 2a b x ab x r b x r r y= CONSIDERIAMO: ( ) ( ) ( ) ( )a br x a br ax b r x r x a br+ ∗ ∗ − = + ∧ − ⋅ ∗ − =⎡ ⎤⎣ ⎦ r r r r r r r r r ( ) ( ){ } ( )b r x ax b r x a br= − ⋅ + + ∧ ∗ − =⎡ ⎤⎣ ⎦ r r r r r r ( ) ( ) ( ) ( ) ( ) ( ) ( )2 2ab x r b x r r a x ab r x ax b r x br ax b r x br= − ⋅ + ⋅ + + ∧ + + ∧ ∧ − − + ∧ ⋅ − =⎡ ⎤ ⎡ ⎤⎣ ⎦ ⎣ ⎦ r r r r r r r r r r r r r r r r ( ) ( ) ( ) ( ) ( ) ( ) ( )2 2 2 2ab x r b x r r a x ab r x ab x r b r x r ab x r b r x r= − keywords: r r; r sin cache: ratiomathematica-95.pdf plain text: ratiomathematica-95.txt item: #406 of 425 id: ratiomathematica-951 author: Shunmugam, Hemalatha; Karuppuchamy, Annadurai title: Inventory model with preservation technology and exponential holding cost in fuzzy scenario date: 2023-07-22 words: 6393 flesch: 75 summary: , / / / / 1 / ( ) / 2 / 2 / 2 / 2 / / ( ) / 2 / ( ) 3 / 6 / 1 ( ) / 2 e e rT ep e e eoc e ehc e e rT e e epc e e e edc e e e e e e e e ece ece e e e ece e e i e + + e eH T H T ee e e ep e e e e e e e e e e e e e e e e e e ece ece e e y HH H T T TH e e d TC T T T H H H H H H H T keywords: e e; e t; e ; ep e; t t; y e cache: ratiomathematica-951.pdf plain text: ratiomathematica-951.txt item: #407 of 425 id: ratiomathematica-954 author: Jayasekaran, C.; L, Roshini title: Relatively Prime Inverse Domination On Line Graph date: 2023-06-30 words: 3536 flesch: 81 summary: ≤ j ≤ n} and edge set E(Bm,n) = {u0ui, v0vj, u0v0 : 1 ≤ i ≤ m, 1 ≤ j ≤ n}. Jn is a graph with vertex set V (Jn) = {u, x, v, y, vi : 1 ≤ keywords: dominating; graph; set cache: ratiomathematica-954.pdf plain text: ratiomathematica-954.txt item: #408 of 425 id: ratiomathematica-955 author: Maisuria, Manan A.; Tandel, Priti V. title: Mathematical modelling and application of reduced differential transform method for river pollution date: 2023-06-30 words: 5047 flesch: 64 summary: Ratio Mathematica Volume 47, 2023 Mathematical modelling and application of reduced differential transform method for river pollution Manan A. Maisuria* 350 Manan A. Maisuria, Priti V. Tandel 5 Result and discussion We take three cases of initial function in rational, exponential and power form and obtain three solutions using reduced differential transform method. Case-1 Rational initial function Solving equation (1) by RDTM with initial condition (2), we get c(x, t) = M0 + M1t + M2t 2 + M3t 3 + M4t 4 + ... where M0 = 0.0004008x+251.4 x+1.39e+04 M1 = 0.0270 ( 4863 x + 67605700 ) (x+13900)3 M2 = 8.9236e−06   x2 + 219193889400 x +1523735609830000   (x+13900)5 M3 = 9.8159e−10   x3 + 1599028070073300 x2 +22233066963300870000 x +103043693991250631000000   (x+13900)7 M4 = 1.0798e−13   186421425071787 x4 +10368864699446257200 x3 +216270792211342627620000 x2 +2004850662624966111612000000 x +6969433288195869001126700000000   (x+13900)9 Here, ∥M1∥ ∥M0∥ = 3.4116405e − 05 < 1, ∥M2∥ ∥M1∥ keywords: c(x; differential; doi; equation; function; method; pollution; river; transform; water cache: ratiomathematica-955.pdf plain text: ratiomathematica-955.txt item: #409 of 425 id: ratiomathematica-956 author: Gnanchandra, P.; Ambigai, Lalitha title: Topological Structures via Graph Ideals date: 2023-07-22 words: 6958 flesch: 88 summary: ∪{v ∈ V (G) : Hence v ∈ U −W . V(H) is T ∗A -open if and only if, for v ∈ V (H), there exists U ∈ N(v) such that v ∈ U − W and W = V (G′) for some G′ ∈ I. Let β(I, T ∗A) = {U − W : keywords: graph cache: ratiomathematica-956.pdf plain text: ratiomathematica-956.txt item: #410 of 425 id: ratiomathematica-957 author: J, Loyala Foresith Spencer; M, Davamani Christober title: Door spaces on N-topology date: 2023-06-30 words: 2910 flesch: 89 summary: In (P, Nτ), if every two disjoint points in P can be isolated by disjoint Nτ semi open sets then (P, Nτ) is a semi - hausdorff door space and is denoted by Nτ semi-hausdorff door space. The homeomorphic image of Nτ semi-door space is a Nσ semi- door space. keywords: door; space cache: ratiomathematica-957.pdf plain text: ratiomathematica-957.txt item: #411 of 425 id: ratiomathematica-958 author: T, SelvaGanesh; C, Selvaraj title: p-clean properties in amalgamated rings date: 2023-06-30 words: 4460 flesch: 93 summary: The concept of clean ring first introduced by Nicholson [1977], where the ring A is called clean ring if for each a ∈ A there exist e ∈ Id(A) and u ∈ U(A) such that a = e + u. Many other authors interested in studying clean rings, for example see Chen and Cui [2008] and Ashrafi and Nasibi The relationships between clean rings, r-clean rings, and f-clean rings. keywords: ring cache: ratiomathematica-958.pdf plain text: ratiomathematica-958.txt item: #412 of 425 id: ratiomathematica-96 author: Mascella, R. title: LA FILOSOFIA DEI LABIRINTI: DAL MITO ALL’INTELLIGENZA ARTIFICIALE date: 2005-12-17 words: 7246 flesch: 58 summary: Dunque il labirinto nella storia rappresenta e concentra in sé una serie di miti e simboli, da quelli profondamente radicati nella nostra coscienza a quelli ottenuti con rielaborazioni successive sia dal punto di vista architettonico che simbolico, avvenute in un ampio intervallo di tempo e di spazio. I collegamenti tra le sotto- unità sono chiamati links, e sono legami arbitrari che l'amministratore dell’ipertesto crea liberamente, e che può modificare secondo le successive esigenze. keywords: alla; anche; artificiale; cammino; caso; che; che si; come; computer; con; così; cui; dal; degli; dei; del; della; di un; dunque; era; essere; gli; il labirinto; ipertesto; labirinto; livello; loro; milano; mondo; mostro; nei; nel; non; numero; ogni; ovvero; pensiero; più; possibile; prima; proprio; punto; può; questo; ricerca; robot; secondo; sempre; sia; solo; sono; stesso; struttura; tra; tutto; un labirinto; una; uno; volta; è un cache: ratiomathematica-96.pdf plain text: ratiomathematica-96.txt item: #413 of 425 id: ratiomathematica-961 author: Singh, Gyanvendra Pratap; Rajan, R; Mishra, Anand Kumar; Prajapati, Pawan title: W8 - Curvature Tensor in Generalized Sasakian Space Forms date: 2023-07-22 words: 3337 flesch: 74 summary: X − η(X)Y }, (15) R(ξ, X)Y = (f1 − f3){g(X, Y )ξ − η(Y )X}, (16) η(R(X, Y )Z) = (f1 − f3){g(Y, Z)η(X) [1976], Sasaki [1965] (∇Xϕ)Y = g(X, Y )ξ − η(Y )X, (9) ∇Xξ = −ϕX. (10) keywords: curvature; sasakian; space; tensor cache: ratiomathematica-961.pdf plain text: ratiomathematica-961.txt item: #414 of 425 id: ratiomathematica-967 author: George, Antony; Christober M, Davamani title: Υ_G-Operator in grill N-topology date: 2023-06-30 words: 4789 flesch: 90 summary: (vi) =⇒ (i): If V ∈ Nτ − G, by theorem 3.5 (i), V ⊆ ΥG(V ) ⊆ ΦG(V ) = ∅. That is V = ∅ by theorem 2.4(i). ∈ Nτ for any A ⊆ X and so ΥG(A) keywords: grill cache: ratiomathematica-967.pdf plain text: ratiomathematica-967.txt item: #415 of 425 id: ratiomathematica-969 author: Yahya Mohamed, S.; N, Subashini title: Edge Coloring Of Complement Bipolar Fuzzy Graphs date: 2023-06-30 words: 2321 flesch: 74 summary: [𝜇𝐴 𝑁 (𝑥), 𝜇𝐴 𝑁 (𝑦)] − 𝜇𝐵 𝑁 (𝑥𝑦) 400 S.Yahya Mohamed and N.Subashini Figure 3.2: Complement of bipolar fuzzy graph �̅� Figure 3.3: Complement of complement bipolar fuzzy graph �̿� Figure 3.4: Bipolar fuzzy graph 𝐺 401 Edge coloring in complement of bipolar fuzzy graphs Figure 3.5: Complement of bipolar fuzzy graph �̅� Figure 3.6: Complement of complement bipolar fuzzy graphs Now 𝜎 = 𝜎 and 𝜇�̅� 𝑃 (𝑥𝑦) = 𝑚𝑖𝑛 keywords: 𝜇𝐴 𝑃 cache: ratiomathematica-969.pdf plain text: ratiomathematica-969.txt item: #416 of 425 id: ratiomathematica-97 author: Eugeni, Franco; Giunco, Valentina; Manuppella, Laura title: MONDI VIRTUALI: SECOND LIFE E LA SUA ECONOMIA date: 2008-12-17 words: 8882 flesch: 52 summary: Con delle analisi più approfondite però si è potuto constatare una certa superficialità e la prevalenza di elementi commerciali e di svago e quindi di condizioni abbastanza agevolate all’espressione di ideali utopici, le quali invece non si realizzano, almeno finora, compiutamente. Però è necessario fare degli sforzi affinché la realtà virtuale possa veramente considerarsi un mezzo nuovo e straordinario capace di aprire nuovi orizzonti a chiunque, in grado di eliminare tutte le barriere e di dare all’uomo la possibilità di sentirsi realmente più libero di conoscere. keywords: 2003; alla; anche; attraverso; avatar; che; che si; circa; ciò; come; comunicazione; con; creare; cui; dai; dal; degli; dei; del; della; dollari; ecc; esempio; essere; far; fare; gli; hanno; infatti; invece; life; linden; loro; luoghi; mondo; mondo virtuale; nei; nel; non; oggetti; ogni; parte; più; possibile; possibilità; proprio; può; quanto; quello; questo; quindi; reale; realtà; residenti; rete; second; sempre; senza; si è; sia; solo; sono; suo; tutti; un mondo; una; uno; utenti; vero; virtuale; vita; volta cache: ratiomathematica-97.pdf plain text: ratiomathematica-97.txt item: #417 of 425 id: ratiomathematica-973 author: Palani, K; Shunmugapriya, A title: Gaussian Twin Neighborhood Prime Labeling on Fan Digraphs date: 2023-01-30 words: 10715 flesch: 82 summary: K. Palani [6] et.al, introduced the concept of Gaussian twin neighborhood prime labeling in digraphs. 5 Conclusions In this article, we established Gaussian twin neighborhood prime labeling in fan and double fan digraphs. keywords: gaussian; ⃗⃗ ⃗⃗; ≤ 𝑛; ≤ 𝑛−1 cache: ratiomathematica-973.pdf plain text: ratiomathematica-973.txt item: #418 of 425 id: ratiomathematica-977 author: Sherin Danie, E; Robinson Chellathurai, S title: On the Edge Covering Transversal Edge Domination in Graphs date: 2023-01-30 words: 2516 flesch: 69 summary: Any edge covering transversal edge dominating set of cardinalities𝛾𝑒𝑒𝑐𝑡 (𝐺) is called a 𝛾𝑒𝑒𝑐𝑡-set of 𝐺. The edge covering transversal edge domination number of some standard graphs are determined. An edge dominating set which intersects every minimum edge covering set in a graph 𝐺is called an edge covering transversal edge dominating set of 𝐺.The minimum cardinality of an edge covering transversal edge dominating set is called an edge covering transversal edge domination number of 𝐺and is denoted by 𝛾𝑒𝑒𝑐𝑡 (𝐺). keywords: covering; edge; graph 𝐺; set; transversal cache: ratiomathematica-977.pdf plain text: ratiomathematica-977.txt item: #419 of 425 id: ratiomathematica-978 author: Saritha, C; Muthu Nesa Beula, T title: The Connected Vertex Strong Geodetic Number of a Graph date: 2023-01-30 words: 3076 flesch: 83 summary: Then by Observation 2.3 (i) Vertex 𝑐𝑠𝑔𝑥-sets 𝑐𝑠𝑔𝑥 (𝐺) 𝑣1 {𝑣3, 𝑣4}, {𝑣4, 𝑣5} 2 𝑣2 {𝑣4, 𝑣5, 𝑣6} 3 𝑣3 {𝑣1, 𝑣6}, {𝑣5, 𝑣6} 2 𝑣4 {𝑣1, 𝑣6}, {𝑣1, 𝑣2} 2 𝑣5 {𝑣1, 𝑣2, 𝑣3} 3 𝑣6 {𝑣3, 𝑣4}, {𝑣2, 𝑣3} 2 𝑣1 𝑣4 𝑣5 𝐺 Figure 2.1 𝑣2 𝑣3 𝑣6 54 C. Saritha and T. Muthu Nesa Beula {𝑣1, 𝑣𝑛 } is a subset of every 𝑐𝑠𝑔𝑥-set of 𝐺. Let 𝑆 be a 𝑐𝑠𝑔𝑥-set of 𝐺. Since 𝐺[𝑆] is connected, it follows that 𝑆 = 𝑉(𝐺) is the unique 𝑐𝑠𝑔𝑥-set of 𝐺 so that 𝑐𝑠𝑔𝑥 (𝐺) = 𝑛.∎ Theorem 2.5.For the cycle 𝐺 = 𝐶𝑛(𝑛 ≥ 4), 𝑐𝑠𝑔𝑥 (𝐺) = 2, for every 𝑥 ∈ 𝐺. Proof. It is shown for every pair of integers𝑎 and 𝑏 with 2 ≤ 𝑎 ≤ 𝑏, there exists a connected graph 𝐺 such that 𝑠𝑔𝑥 (𝐺) = 𝑎 and 𝑐𝑠𝑔𝑥 (𝐺) = 𝑏 for some vertex 𝑥 in 𝐺. Keywords: strong geodetic number;vertex strong geodetic number; connected strong geodetic number. keywords: graph 𝐺; 𝐺[𝑆; 𝑐𝑠𝑔𝑥 cache: ratiomathematica-978.pdf plain text: ratiomathematica-978.txt item: #420 of 425 id: ratiomathematica-983 author: Govindalakshmi, T. S; Meena, N title: Strong Perfect Cobondage Number of Standard Graphs date: 2023-01-30 words: 4405 flesch: 91 summary: The cobondage number of graph G is the minimum cardinality among the set of edges X such that 𝛾(G+X) < 𝛾(G). Consider the graphs G and G + e in the following figures 1 and 2 respectively. Fig. keywords: v3k cache: ratiomathematica-983.pdf plain text: ratiomathematica-983.txt item: #421 of 425 id: ratiomathematica-984 author: Sanma, G. R; Maya, P title: Modular Coloring and Switching in Some Planar Graphs date: 2023-01-30 words: 4152 flesch: 81 summary: ∈ ℓ1, j = 0,1,2 … (k − 1) 2 if R4k ∈ ℓ1 0 elsewhere then σ(v)={ 1 for vi−1 , R4k−1 ∈ ℓ1 2 for u ∈ ℓ0, vi ∈ ℓ1 0 for vi+1,,R2j ∈ ℓ1, for j = 1,2, … (2k − 1) 3 otherwise Here 𝜎(𝑥) ≠ 𝜎(𝑦) ∀ x,y of adjacent vertices in Ws(4k+3). ∈ ℓ1, j = 0,1,2 … (k − 1) 0 elsewhere then σ(v)={ 3 for u ∈ ℓ0, vi ∈ ℓ1 2 for vi−1,R4k−1 ∈ ℓ1 1 for vi+1,,R2j ∈ ℓ1, for j = 1,2, … (2k − 1) 0 otherwise Here 𝜎(𝑥) ≠ 𝜎(𝑦) ∀ x,y of adjacent vertices in Ws(4k+3). keywords: modular; switching; vertices cache: ratiomathematica-984.pdf plain text: ratiomathematica-984.txt item: #422 of 425 id: ratiomathematica-985 author: Maheswari, M; Dhanalakshmi, S; N, Durgadevi title: Micro Sp-Open Sets in Micro Topological Spaces date: 2023-01-30 words: 2802 flesch: 83 summary: = Mic Sp-Int ({p, q, r, s}) = {p, q, r, s} which implies that Mic Sp-Int (A  B)  Mic Sp-Int (A)  Mic Sp-Int (B). But Mic Sp-Int ({p, s, t}  {p, q, r, s}) = Mic Sp-Int ({p, s}) =. keywords: mic; micro cache: ratiomathematica-985.pdf plain text: ratiomathematica-985.txt item: #423 of 425 id: ratiomathematica-989 author: Anto, M; Andrin Shahila, S title: A Study on g**s-R_0 and g**s-R_1 Spaces in Topological Spaces date: 2023-01-30 words: 4416 flesch: 91 summary: We have also, introduced a new definition 𝑆�̂�∗-space by using semi-closed and �̂�∗-closed sets and study its relationship with other closed sets using �̂�∗∗𝑠-closed set. Keywords. In 𝑆�̂�∗-space i) (𝑠𝑔)∗-Closed set coincide with �̂�∗∗𝑠-closed set. ii) 𝑔𝑠∗∗-Closed set coincide with �̂�∗∗𝑠-closed set. iii) �̂�∗-Closed set coincide with �̂�∗∗𝑠-closed set. keywords: ĝ∗∗s; space; − 𝑅0 cache: ratiomathematica-989.pdf plain text: ratiomathematica-989.txt item: #424 of 425 id: ratiomathematica-99 author: Tommasini, Giulia title: Notizie sulla vita e sulle opere di ‘Gioseffo Mari’ matematico e idraulico nella Mantova del Settecento date: 2008-12-17 words: 9802 flesch: 63 summary: Io vi acerto, o Signori, che la spiegazione di questi tre fenomeni è così rapida, che non eccede in lunghezza il racconto, che di essi tesse Hugenio. Essendo la forza centrifuga in ragion de’ raggi de’ circoli descritti, stando l’altre cose pari, sarà investito il sasso all’equatore di maggior forza centrifuga che a Mantova, e molto più che a Pietroburgo. keywords: acque; alla; alle; all’equatore; anche; centrifuga; centro; che; che la; che si; circolo; ciò; come; con; corpi; costa; così; cui; dal; del; della; dell’acqua; di mantova; dissertazione; dunque; e il; e la; essa; fenomeno; fluido; forza; globo; gravità; guastalla; la forza; luogo; l’acqua; maggior; mantova; mari; mathematica; mezzo; nel; non; oncie; parallelli; parte; piano; più; poi; pratica; prima; può; quale; qualunque; quella; questa; ratio; regio; rotazione; ruota; sarà; spiegazione; sua; sulla; suo; suoi; tra; una; vasca; vaso cache: ratiomathematica-99.pdf plain text: ratiomathematica-99.txt item: #425 of 425 id: ratiomathematica-999 author: Muthukumaran, S; Anandh, B title: Translations of Bipolar Valued Multi Fuzzy Subnearring of a Nearring date: 2023-01-30 words: 3922 flesch: 77 summary: Ratio Mathematica Volume 45, 2023 Translations of Bipolar Valued Multi Fuzzy Subnearring of a Nearring S. Muthukumaran1 B. Anandh2 Abstract In this paper, some translations of bipolar valued multi fuzzy subnearring of a nearing are introduced and using these translations, some theorems are stated and proved. In this paper, the concept of translations of bipolar valued multi fuzzy subnearring of a nearing is introduced and established some results. keywords: bipolar; fuzzy; multi cache: ratiomathematica-999.pdf plain text: ratiomathematica-999.txt