# bib

id: m-613
title: LEARNING PROCESS CONTROL MTsN 1 MEDAN
date: 2023
pages: 7
extension: .pdf
mime: application/pdf
words: 2500
sentence: 138
flesch: 56
summary: ���(�)��(� − ��). ���(�)��(� − ��) a)
cache: cache/m-613.pdf
txt: txt/m-613.txt
author:
  Siregar N, Hasratuddin; Rambe, Titin Rahmayanti; Rola, Fasti; Pratiwi, Siti Habsari; Pratama, Anggili; Dongoran, Jhohas


id: m-348
author: Kazmierczak, A
date: 2020
pages: 7
extension: .pdf
mime: application/pdf
words: 2080
sentence: 139
flesch: 47
cache: cache/m-348.pdf
txt: txt/m-348.txt
title:
  Modeling and Analysis of the Interaction of Neutral and Protester Populations: A Competing Species Model

summary:
  │2/(1+2P)-2P/(1+2N)^2-N -2/(1+2P)^2-2N/(1+2N) │ J = │ │ │ -6P/(1+3N)^2-2P/(1+2N)^2 2/(1+3N)-2N/(1+2N)-P │ 2.2 Equilibrium Points Using Maple CAS, on (3) and (4) weobtained the following real valued equilibrium points: {N = 0., P = 0.}, {N = 0., P = 4.}, {N = 4., P = 0.}, {N = .4301871556, P = .8213492010}, {N = -.4311081397, P = -1.121275136}, {N = -.4346164212, P = .1299378971}, {N = -3.952306486, P = -2.658090053} 2.3Analyzing equilibrium points for stability In our framework, we let N represent the neutral population.


id: m-274
author: Linus, Okafor Uchenwa; Oladejo, M.O.; Uwa, C.O.; A.T, Jighjigh,; Chineyob, D.T.
date: 2020
pages: 12
extension: .pdf
mime: application/pdf
words: 3097
sentence: 126
flesch: 66
cache: cache/m-274.pdf
txt: txt/m-274.txt
title:
  DISTINCTION BETWEEN SPEPECTRAL ANALYSIS AND HARMONIC ANALYSIS IN TIME SERIES ANALYSIS: EXPERIENCE FROM THE NUMBER CRUNCHER STATISTICAL SYSTEM (NCSS) SOFTWARE.

summary:
  In Harmonic analysis, one uses the frequencies identified from spectral analysis to form a model and harmonic analysis gives about eight different specific results as shown through Table 3 to Table 10.Fourier analysis is part of harmonic analysis, but in literature, most authors’ mistake spectral analysis for harmonic analysis and most statistical software’s also fall into the same misconception, but the use of the Number Cruncher Statistical System(NCSS), illustrates the role of either spectral analysis or harmonic analysis. Keywords: Harmonic analysis, spectral analysis, period, wavelength, model, forecasting.


id: m-541
author: Hima, Lina Rihatul; Sari, Lilin Nur Indah; *, Samijo
title: PROCRASTINATION OF STUDENTS IN WORKING MATHEMATICS
date: 2021
pages: 9
extension: .pdf
mime: application/pdf
words: 3689
sentence: 175
flesch: 47
cache: cache/m-541.pdf
txt: txt/m-541.txt
summary:
  Likewise, what happened in high school, in this study the researchers focused on class XI high school students. The delay in collecting the assignments indicated that there was procrastination in class XI high school students.


id: m-618
author: LAWAL, Ruth Folake; OLUWOLE, Deborah Oyeronke; OLANIYI-OJOAWO, Inioluwa Damilola
date: 2022
pages: 11
extension: .pdf
mime: application/pdf
words: 3379
sentence: 171
flesch: 38
cache: cache/m-618.pdf
txt: txt/m-618.txt
title:
  Predicting Students’ Study Habits through Attitude to Mathematical Mistakes in Alimosho Local Government Area, Lagos State.

summary:
  As well, study habits was observed to increase significantly with students’ advancement in class level and a positive attitude towards mathematical mistakes. Keywords: Study habits, attitude, mistakes, mathematics IJO - INTERNATIONAL JOURNAL OF MATHEMATICS Volume 5 | Issue 12 | December 2022 | https://www.ijojournals.com/index.php/m/index 1 mailto:femifolawal256@gmail.com mailto:deboronke@yahoo.com mailto:deboronke65@gmail.com mailto:inioluwaojoawo@gmail.com Introduction Individuals are daily faced with circumstances, concepts and situations to which a person mustrespond positively or negatively.


id: m-191
author: Nurhayati, Lina; Gunawan, Hendra; Gunawan, Iwan; Hermawan, Haryono Edi
title: BOUNDEDNESS OF GENERALLY FRACTIONAL INTEGRAL OPERATOR ON GENERAL MORREY SPACE
date: 2019
pages: 9
extension: .pdf
mime: application/pdf
words: 3407
sentence: 182
flesch: 66
cache: cache/m-191.pdf
txt: txt/m-191.txt
summary:
  In this study I will discuss the limits of fractional integral operators in the homogeneous and nonhomogeneous Lebesgue space, the Morrey space and the general Morrey space. Volume 02 |Issue 07 | July 2019 www.ijojournals.com 3 Next, for Based on (5) obtained, Z |Mµf(x)|pdµ(x)B(a,r So, got it ||f|| Lp,φ(µ)Maximum operator limitation Mµ above is needed in proving the fractional integral operators and fractional integral operators commonly from the Morrey space are generally Lp, φ to the Morrey space is generally for 1 <p <q <∞ with 5].


id: m-530
author: Pandey, Himanshu; Rao, Arun Kumar
title: BAYESIAN ESTIMATION OF SHAPE PARAMETER OF TOPP-LEONE DAGUM DISTRIBUTION
date: 2021
pages: 8
extension: .pdf
mime: application/pdf
words: 4273
sentence: 325
flesch: 93
cache: cache/m-530.pdf
txt: txt/m-530.txt
summary:
   212 2 1 2 1 1 1 1 n a i i E n d n d log x                           .                


id: m-362
author: Siregar N, Hasratuddin; Fauzi, KMS. M. Amin; Siregar, Nurhasanah
title: GEOMETRY LEARNING BASED ON COGNITIVE CONFLICT IN THE DEPARTMENT OF MATHEMATICS
date: 2020
pages: 9
extension: .pdf
mime: application/pdf
words: 3886
sentence: 264
flesch: 56
cache: cache/m-362.pdf
txt: txt/m-362.txt
summary:
  Geometry is one of the compulsory courses for students majoring in mathematics at the State University of Medan. Cognitive conflict occurs when students become aware of a mismatch between what is on their mind and information from outside.


id: m-392
author: ALsawi, Khalil Mostafa; El-Saeiti, Intesar N.; Shamia, Gebriel M.
title: Adequacy of H-Likelihood Estimation Method for Unbalanced Clustered Counting Data Models.
date: 2021
pages: 11
extension: .pdf
mime: application/pdf
words: 3314
sentence: 151
flesch: 50
cache: cache/m-392.pdf
txt: txt/m-392.txt
summary:
  Next table is Table(2); for the simulated sample of size (5,10,50) observations and 3, 10, and 50 clusters; where the actual value is equal to 0.2 for the parameter �� , and the value for the �� parameter is equal to zero because there is no X2 value, it is used only to calculate the power and the probability of type-I error rate” Table (2): the estimate parameters Cluster Observations Unbalanc ed Balanced ��� ��� ��� ��� K=3 n=5 n=10 n=50 0.2033534 0.1947158 0.2008493 0.003756905 -0.00445098 0.004040149 0.2041509 0.2028573 0.2045826 -0.00518115 0.01137586 0.00065012 K=10 n=5 n=10 n=50 0.1994582 0.1980559 0.2008564 -0.00049512 estimate values (���) 0.188 0.19 0.192 0.194 0.196 0.198 0.2 0.202 0.204 0.206 n=5 n=10n=50 n=5 n=10n=50 n=5 n=10n=50 Balanced unbalanced -0.01 -0.005 0 0.005 0.01 0.015 n=5 n=10 n=50 n=5 n=10 n=50 n=5 n=10 n=50 Balancd Unbalanced IJO - INTERNATIONAL JOURNAL OF MATHEMATICS Volume 3| Issue 12|


id: m-598
author: Hamed, Abdulaziz Babiker Mohamed; Abu Aasha, Younis Ahamed.
date: 2022
pages: 12
extension: .pdf
mime: application/pdf
words: 4230
sentence: 213
flesch: 49
cache: cache/m-598.pdf
txt: txt/m-598.txt
title:
  Using Energy Conservation Concept and Basic Mathematical Modeling Techniques to Study the Effect of Greenhouses Gases to Earth's Climate System.

summary:
  According to conservation of the energy and thermal equilibrium state, the incoming energy equal to out coming energy and Stefan Boltzmann Law, such that E�� = E���, Thus T = � �(���) ��� � � � ≈ 282.9K Interpretation: The value of β = 0.66 gives a climate model that correctly predicts the current global average temperature T ≈ 282.9K, which equivalent to 9.64 degrees Celsius, this gives reasonable approximate value to the Earth's surface temperature. At thermal equilibrium, the incoming energy (temperature) must equal to outgoing energy and with use Stefan Boltzmann Law, such that ��� = ���� Therefore the mathematical model represent the following equation ���� = 4������ ⇒ � = 4��� TO solve the equation for T, thus � = ( � �� ) � � Where � = 5.67 × 10��and � = 1376.6 The value of � = ( ����.


id: m-605
author: Fauzi, M. Amin; Siregar, Hasratuddin; Siregar, Budi Halomoan; Sari, Dwi Novita
date: 2022
pages: 14
extension: .pdf
mime: application/pdf
words: 4740
sentence: 282
flesch: 54
cache: cache/m-605.pdf
txt: txt/m-605.txt
title:
  A Problems Solving and Thinking Critical Ability Student Through Realistic Approach Based on Problem Non-routine by Blended Learning in the Department Mathematics, Faculty Mathematics and Natural Science, Medan State University

summary:
  And, by chart could seen that ability solving problem student who was given learning with based realistic approach problem non-routine more than every group on learning normal online. So that could concluded that no there is interaction Among learning with ability beginning to ability solution problem mathematical student.


id: m-339
author: Kazmierczak, A
title: Modeling and Analysis of the Interaction of Neutral and Drug Populations: A Competing Species Model
date: 2020
pages: 17
extension: .pdf
mime: application/pdf
words: 5665
sentence: 636
flesch: 62
cache: cache/m-339.pdf
txt: txt/m-339.txt
summary:
  A hierarchy of drug use in adolescence: behavioral and attitudinal correlates of substantial drug use. The involvement of tobacco in alcoholism and illicit drug use.


id: m-750
author: Siregar N, Hasratuddin; Fauzi, Amin; Siregar, Nurhasanah
title: The Students' Mathematical Creative Thinking Ability Strategy Mathematical Habits Of Mind Based
date: 2023
pages: 12
extension: .pdf
mime: application/pdf
words: 5883
sentence: 377
flesch: 54
cache: cache/m-750.pdf
txt: txt/m-750.txt
summary:
  In accordance with objective study This that is For analyze ability think creative given student _ learning geometry with based Mathematical Habits of Mind (MHM) strategy problem , then following describe the process and results . So so that can concluded that there is difference ability think creative given student learning MHM strategy geometry with given students learning normal .


id: m-411
author: Hamaden, Ghazala Ahmad
title: Physiological responses of Solanum nigrum L. Species to the heavy crude oil
date: 2021
pages: 19
extension: .pdf
mime: application/pdf
words: 5823
sentence: 435
flesch: 62
cache: cache/m-411.pdf
txt: txt/m-411.txt
summary:
  Although exactly how crude oil originated is not established, it is generally agreed that crude oil is derived from the remains of animals and plants that lived in marine water millions of years ago, types of crude oil: Based on the density crude oil is divided in to the following groups: Light crude oil and heavy crude oil 1.1. Key words: Solanum nigrum L. black nightshade, heavy crude oil, phytoremediation.


id: m-616
title: CONTROL OF THE LEARNING PROCESS AT DISTRICT 5 JULY ELEMENTARY SCHOOL, BIREUEN
date: 2023
pages: 6
extension: .pdf
mime: application/pdf
words: 1948
sentence: 101
flesch: 47
cache: cache/m-616.pdf
txt: txt/m-616.txt
author:
  Siregar N, Hasratuddin; Hayati, Rahmi; Karim, Asrul; *, Facrurazi; *, Marzuki; Marianus, Sumarlin Mangandar

summary:
  | https://www.ijojournals.com/index.php/m/index 10  Largest predicted value from each Indonesian language value to each Mathematica value:����� = 3,652 + 0,568���  The magnitude of the predictive value assigned to each English-language numeric by the mathematical values is as follows:����� = 1,343 + 0,841����  Each value of natural science and mathematics is accompanied by a significant predictive value. The highest percentage, as calculated above, is for the subject of mathematics 94.85% ( ��.������� ��.����� )) while the lowest is for the subject of Indonesian language study (67.49%)( �.��������� �.������� ).


id: m-757
author: Maulida, Rizki; Hutasuhut, Riska Fadhilah; Tindaon, Juwita; Restella, Rika; *, Hasratuddin
title: LEARNING PROCESS ANALYSIS MIS GUPPI PADANG HILIR (Using a Multivariate Analysis Approach)
date: 2023
pages: 8
extension: .pdf
mime: application/pdf
words: 2305
sentence: 120
flesch: 59
cache: cache/m-757.pdf
txt: txt/m-757.txt
summary:
  Process data is seen in 2019 -2020 with the results of the highest correlation value is 8.265306, namely in Indonesian and mathematics subjects. The research conducted by Antoro found that a larger portion of student learning was experienced by students who were in fullday class learning, students who studied with a larger portion had a high average score.


id: m-591
author: Hamed, Abdulaziz Babiker Mohamed; Bawa, Bulama Adamu
title: Mathematical modeling of Climate change and Desertification: A case study of Yobe State, Nigeria.
date: 2022
pages: 29
extension: .pdf
mime: application/pdf
words: 7232
sentence: 236
flesch: 41
cache: cache/m-591.pdf
txt: txt/m-591.txt
summary:
  ��(����������)� �������√������(�������) Where � is the slope. Hence the depth of the river is ℎ = � − � it is based on the principle conservation of mass for the substrate, and may be written as (1 − �) �� �� + ∇. � = �� IJO - INTERNATIONAL JOURNAL OF MATHEMATICS Volume 5 | Issue 09 | September 2022 | https://www.ijojournals.com/index.php/m/index 16 3.3.2 St Venant equation The Navier-Stokes equations is also written in this case of two-dimensional flow ��+�� = 0 ��(����������)� ����������(�������)


id: m-347
author: Kazmierczak, A
date: 2020
pages: 15
extension: .pdf
mime: application/pdf
words: 6276
sentence: 874
flesch: 61
cache: cache/m-347.pdf
txt: txt/m-347.txt
title:
  Modeling and Analysis of the Interaction of Neutral Populations and Violent Cop Populations: A Competing Species Model

summary:
  Abstract The rise of police violence in the United States has brought concern, debate, and contention to the modern world. Police violence is national and is no longer concentrated in a particular location.


id: m-886
author: THIRUNIRAISELVI, DR. N.; GOPALAN, DR. M.A.
title: Techniques to solve Diophantine Equation of Degree Ten with Six Unknowns
date: 2024
pages: 8
extension: .pdf
mime: application/pdf
words: 1663
sentence: 61
flesch: 63
cache: cache/m-886.pdf
txt: txt/m-886.txt
summary:
  [1] has been noticed and the authors have presented only few sets of integer solutions. Substitution strategy and factorization method are applied successfully to obtain different choices of integer solutions to the considered equation.


id: m-684
author: *, Rosita; *, Hasratuddin; Aziz, Tian Abdul
date: 2023
pages: 9
extension: .pdf
mime: application/pdf
words: 3753
sentence: 189
flesch: 50
cache: cache/m-684.pdf
txt: txt/m-684.txt
title:
  Ability Solving Problem And Think Critical Mathematical Through Problem based Flipped classroom Help Videos

summary:
  A question become problem student if his students This not own method the solution. Which state that flipped classroom learning model is effective in order to increase comprehension skills concepts and solving student problems.


id: m-782
author: John, Michael N.; Okeke, Stephen I.; Nwala, Boniface O.; G., Udoaka Otobong.
title: Para-G Relations and Hirsch Length in Residually Nilpotent Groups
date: 2024
pages: 16
extension: .pdf
mime: application/pdf
words: 4401
sentence: 285
flesch: 55
cache: cache/m-782.pdf
txt: txt/m-782.txt
summary:
  Therefore, �� is the inverse limit of polycyclic groups, and it is locally polycyclic. Nilpotent groups in cryptographic key exchange protocol for N≥ 1.


id: m-769
author: John, Michael N.; Otobong. G, Udoaka,
date: 2023
pages: 14
extension: .pdf
mime: application/pdf
words: 4787
sentence: 312
flesch: 44
cache: cache/m-769.pdf
txt: txt/m-769.txt
title:
  Algebraic and Topological Analysis of Enveloping Semigroups in Transformation Groups: Proximal Equivalence and Homomorphic Image

summary:
  In the latter part, the study extends to the analysis of homomorphic images of transformation groups through their enveloping semigroups. The study of transformation groups with compact Hausdorff phase spaces has significant implications in various mathematical and applied fields.


id: m-386
author: Makky, Mosaed Magmoud
title: Effectiveness similar transposed set of polynomials of two complex variables in different regions.
date: 2020
pages: 17
extension: .pdf
mime: application/pdf
words: 8834
sentence: 800
flesch: 89
cache: cache/m-386.pdf
txt: txt/m-386.txt
summary:
  k k M p r               from which, we obtain 11 (1) (1) , 1 2 , 7 7 4 4 1 1 1 1 sup [ ; ] sup , m nm n m n m n m n m n Lim M u Lim k k M P r r r r          k s t p z w p z w p p z w        .


id: m-815
author: K. K, Venuprasad; Shivashankara, Prof. K.; D. S, Dhananjaiah; P, Prakasha.
date: 2024
pages: 14
extension: .pdf
mime: application/pdf
words: 4174
sentence: 152
flesch: 49
cache: cache/m-815.pdf
txt: txt/m-815.txt
title:
  Mathematical study of MHD Convective flow with chemical reaction through a porous medium in a vertical wavy channel

summary:
  Venuprasad K. K.1 * https://ijojournals.com/ Volume 07 Issue 03 || March, 2024 || Mathematical study of MHD Convective flow with chemical reaction through a porous medium in a vertical wavy channel Mathematical study of MHD Convective flow with chemical reaction through a porous medium in a vertical wavy channel Venuprasad K. K.1, Prof. K. Shivashankara2, Dhananjaiah D. S3, Prakasha. Venuprasad K. K.1 * https://ijojournals.com/ Volume 07 Issue 03 || March, 2024 || Mathematical study of MHD Convective flow with chemical reaction through a porous medium in a vertical wavy channel to an external magnetic field.


id: m-817
author: D.S, Dhananjaiah; Shivashankara, Prof. K.; K. K, Venuprasad; P, Prakasha.
date: 2024
pages: 10
extension: .pdf
mime: application/pdf
words: 3715
sentence: 163
flesch: 46
cache: cache/m-817.pdf
txt: txt/m-817.txt
title:
  A Mathematical analysis of oscillatory free convection in a vertical wavy channel with Chemical reaction

summary:
  The study of heat transfers and mixed convection flow in enclosures of various shapes has received attention [6] O.D. Makinde, Free convection flow with thermal radiation and mass transfer past a moving vertical porous plate, Int.


id: m-917
author: Idochi, Okenwe; Udo, Osuagwu, Chidimma
date: 2024
pages: 13
extension: .pdf
mime: application/pdf
words: 4703
sentence: 155
flesch: 45
cache: cache/m-917.pdf
txt: txt/m-917.txt
title:
  PERFORMANCE EVALUATION OF CANONICAL CORRELATION ANALYSIS AND REDUNDANCY ANALYSISUSING GAUSSIAN, GAMMA, EXPONENTIAL AND BETA DISTRIBUTED DATA

summary:
  Makino's study introduced a CA formulation based on canonical correlation analysis (CCA), where correlations within and between row/column categories in a reduced dimensional space can be expressed through canonical variables. Keywords: Canonical correlation analysis,Redundancy analysis, Gaussian, Gamma, Exponential, Beta,Performance evaluation, Simulated data.


id: m-930
author: Ohaegbulem, Emmanuel Uchenna; Obi, Dr. Boniface Inalu
date: 2024
pages: 10
extension: .pdf
mime: application/pdf
words: 3811
sentence: 224
flesch: 61
cache: cache/m-930.pdf
txt: txt/m-930.txt
title:
  Analytical Study of Incompressible MHD Non-Newtonian Fluid In Cylindrical Pipe With Isothermal Wall and Temperature-Dependent Viscosity

summary:
  Massoudi and Christie [7] dealt with the effcts of variable viscosity and viscous dissipation on the flow of third grade fluid. The boundary layer equations of third grade fluid was treated by Pakdemirli


id: m-904
author: Chow, Sengchu
date: 2024
pages: 14
extension: .pdf
mime: application/pdf
words: 3093
sentence: 173
flesch: 63
cache: cache/m-904.pdf
txt: txt/m-904.txt
title:
  Algebraic Solution to Simultaneous Linear First-Order Non-Homogeneous Differential Equations with Constant Coefficients

summary:
  − 𝑎0𝑛1𝑥 − 𝑎0𝑛0 = (𝑏0𝑚1 − 𝑎0𝑛1)𝑥 + (𝑏0𝑚0 − 𝑎0𝑛0) (30) 𝑏0𝑓 − 𝑎0𝑔 = (−1)(6) − (3)(−2) = −6 + 6 = 0 𝛼 = (2)(−1) − (3)(5) = −17 So, 𝑦′(𝑥)


id: m-1151
author: Obi, Boniface Inalu; Esekhaigbe, Edwin; Uka, Uchenna Awucha
title: Numerical Computation of Reactive Flow of Third Grade Fluid With Heat Generation
date: 2025
pages: 9
extension: .pdf
mime: application/pdf
words: 2661
sentence: 173
flesch: 57
cache: cache/m-1151.pdf
txt: txt/m-1151.txt
summary:
  Issue 09 || September, 2025 || “Numerical Computation of Reactive Flow of Third Grade Fluid With Heat Generation Numerical Computation of Reactive Flow of Third Grade Fluid With Heat Generation *1 Boniface Inalu Obi,2 Edwin Esekhaigbe, 3Uchenna Awucha Uka 1Department of Mathematics, Imo State University, Owerri, Nigeria 2Mathematics and Computer Science Department, University of Africa, Bayelsa State, Nigeria 3Basic Science Department, School of Science and Technology, Babcock University, Ogun State, Nigeria Corresponding author *1 Boniface Inalu Obi, Abstract Computation of reactive flow of third grade fluid in cylindrical pipe with heat generation is considered. [10] examined the stability properties of third grade fluids.


id: m-1141
author: Tom, Otobong Johnson; Udoaka, Otobong G.; Udofia, E. S.
title: ON STABILITY IN SEPARATIVE SEMIGROUP
date: 2025
pages: 9
extension: .pdf
mime: application/pdf
words: 3166
sentence: 229
flesch: 68
cache: cache/m-1141.pdf
txt: txt/m-1141.txt
summary:
  A semigroup S is called separative if and only if the following two conditions hold for all a, b ∈ S: � a2 = ab and ba = b2 together imply a = b, and � a2 = ba and ab = b2 together imply a = b. The reader can also see [15] De�nition 3.2 (Qusi-separative). This result elevates stability from a supplementary condition to a built-in feature of separative semigroups, o�ering a uni�ed perspective that strengthens the foundations of semigroup theory and deepens its structural coherence.


id: m-832
author: P, Prakasha.; K. Shivashankara, Prof.; K. K, Venuprasad; D. S, Dhananjaiah
date: 2024
pages: 13
extension: .pdf
mime: application/pdf
words: 6118
sentence: 313
flesch: 69
cache: cache/m-832.pdf
txt: txt/m-832.txt
title:
  Mathematical Analysis of Effect of Viscous dissipation on Transient MHD convective Heat transfer through a porous medium in a vertical channel

summary:
  In recent years, a great deal of interest has been generated in the area of boundary layer flow and heat transfer of a fluid over a stretching sheet In view of its numerous and wide range of applications in various fields such as polymer processing industry in particular manufacturing IJO JOURNALS Volume 07 P1* https://ijojournals.com/ Volume 07 Issue 04 || April, 2024 || Mathematical Analysis of Effect of Viscous dissipation on Transient MHD convective Heat transfer through a porous medium in a vertical channel which in the non- dimensional form reduces to 1 2 ,11,10,01,00 2 )](([ )(                yyyyyyyyy xxyy OEcEc a U      and the corresponding expressions are )()( 2 5431  OdEcddy  )()( 2 8761  OdEcddy  The local rate of heat transfer coefficient( Nusselt number Nu) on the walls has been calculated using the formula 1)( 1      y wm y Nu   Where    1 1 5.0 dym  and the corresponding expressions are )( )( )(, )( )( )( 6510 987 1 654 321 1 mEcmm mmEcm uN mmEcm mEcmm uN yy            5.


id: m-1153
author: Olokuntoye, Bolanle Adeola
title: A Mathematical Model on Cholera Outbreak with Vaccination
date: 2025
pages: 15
extension: .pdf
mime: application/pdf
words: 3516
sentence: 223
flesch: 49
cache: cache/m-1153.pdf
txt: txt/m-1153.txt
summary:
  Vaccination has increasingly been incorporated into cholera models. This innovation highlighted the role of aquatic environments in sustaining cholera transmission and explained the persistence of outbreaks beyond simple person-to-person dynamics.


id: m-1057
author: Tom, Otobong Johnson; UDOAKA, OTOBONG G.
title: SEMIGROUP APPROACH FOR THE SOLUTION OF BOUNDARY LAYER EQUATION WITH SINC FUNCTION TERM
date: 2025
pages: 16
extension: .pdf
mime: application/pdf
words: 5355
sentence: 463
flesch: 74
cache: cache/m-1057.pdf
txt: txt/m-1057.txt
summary:
  A T t s f s S s ds f S dt       Using the properties of semigroups [3, 19],    AT t T t A , we write du Au f S dt    This implies that u is differentiable with the stated regularity[6]. 1 2 1 2 1 2 1 20 0 0 t u t u t T t u u T t s f s f s S s S s ds       


id: m-1152
author: Tom, Otobong Johnson; Udoaka, Otobong G.
title: Stability in Semigroups of Bounded Linear Operators: Bridging Algebraic and Analytic Notions
date: 2025
pages: 13
extension: .pdf
mime: application/pdf
words: 5026
sentence: 363
flesch: 70
cache: cache/m-1152.pdf
txt: txt/m-1152.txt
summary:
  We further provide precise spectral conditions under which KW-stability aligns with analytic stability notions�strong, asymptotic, exponential, and uniform�thereby unifying algebraic semigroup stability with spectral/operator-theoretic stability. This condition enforces the collapse of Green's relations�fundamental equivalence rela- tions describing semigroup structure�so that D = J = L = R. Stability in this sense IJO - INTERNATIONAL JOURNAL OF MATHEMATICS (ISSN: 2992-4421 )


id: m-792
author: James, Etim, Uduak; John, Eno; Lawson, Dr. Tombotamunoa W. J.; Monday, Udo Ukemeobong
title: ADVANCEMENTS IN LINEAR MULTI-STEP METHOD FOR SOLVING THIRD ORDER ORDINARY DIFFERENTIAL EQUATIONS
date: 2024
pages: 22
extension: .pdf
mime: application/pdf
words: 9859
sentence: 168
flesch: 49
cache: cache/m-792.pdf
txt: txt/m-792.txt
summary:
  Etim, Uduak James* https://ijojournals.com/index.php/index Volume 07 Issue 01 || January., 2024 || ℎ(�) = ⎣ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎡ ����������������������������������������������������������������������������� ����������������������������������������������������������������� ������������������������������������������������������������������������ ����������� �������������������������������������������������������������� ����������������������������� ���������������������������������� ���������������� ������������������������������ ������������������������� ���������������������������������������������� ���������������� �������������������������������� �������������������������������� ���������� ����������������� ��������������������� ����� ������������������������������ ���������������� ������������������������ ���� ��������������������� ���������������� ���������������������������� ������������������������������������������� ������������� ��������������� ������������������������� ⎦ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎤ ⎣ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎡ ��������������������������������������������������� ������������� ������������������������������������������������� �������������������������������������������������� �������������������������������������������������������������������������� ���������������������������������� �������������������������������������� ������������������������� ���������������������������� ������������������������������������������������������������������� �������������������������������������� ⎦ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎤ . = 120[�� − 2�� + 2� − 1] �� + 56�� + 126�� + 56� + 1 (3.8) byDeMoiveries’s theorem �� = ���� = ����� + ������ where ����� is the real part of ���� and ����� is the imaginary part of����, but here we will replace �� with �� .


id: m-1071
author: Mj, Jyothi.; shivashankara, k.
title: On SiO4 Molecular Topological Characterization of Chemical Structures
date: 2025
pages: 21
extension: .pdf
mime: application/pdf
words: 8826
sentence: 315
flesch: 65
cache: cache/m-1071.pdf
txt: txt/m-1071.txt
summary:
  bond partition from Table 2, in the formula of forgotten topological �[�����] �� + � �[�����] ����~���� + � �[ ����~���� + (3�� + � + 2� − 5)��� + 2�3�� − 2(2� + By taking the first derivative of the polynomial in Theorem 2.25 at y forgotten topological index of chain of SiO4 SCqp as follows: Let p be odd and p < q. For p >1 and p = q, the symmetric division degree index of SC� � is2(3�� − 3� + 4) + ������������ � Theorem 2.15.


id: m-1155
author: Sylvester, Thomas, Henry; Sunday, Udofia, Ekere; Dominic, Akpan, Ubong; Joy Ijeoma, Uwakwe,
date: 2025
pages: 28
extension: .pdf
mime: application/pdf
words: 13700
sentence: 254
flesch: 45
cache: cache/m-1155.pdf
txt: txt/m-1155.txt
title:
  CAPUTO-FABRIZIO FRACTIONAL DRIVATIVES OF AGE-STRUCTURED DIPPTHERIA INFECTION MODEL WITH LAPLACE ADOMIAN DECOMPOSITION ANALYSIS

summary:
  Issue 09 || September, 2025 || “CAPUTO-FABRIZIO FRACTIONAL DRIVATIVES OF AGE-STRUCTURED DIPPTHERIA INFECTION MODEL WITH LAPLACE ADOMIAN DECOMPOSITION ANALYSIS �� − ��������� ������������ ���� ���� �� �� − ��������� ������������ ���� ���� �� �� − ����������� �������� ��� �� �� − ����������� �������� ��� �� � − ������� �������� � − �������� ���� ���� �� �� �� � − ��� ������ ����ℎ ���� �� ℎ����� ��� − ������������ ���� �� �� ��� − ������������ ���� �� �� � − ���� �� ����������� �� − ��������� ���� (��� ������� ������� ) ��� �� �� − ��������� ���� (��� ������� ������� ) ��� �� � − ����ℎ ��� �� ��������� � − ������� ����ℎ ���� ��(�) = ��(���� + ����) �� − �� ��(�) = ��(���� + ����) �� − �� 2.4 MODEL EQUATIONS IJO JOURNALS Volume 08 − Detected infectious humansat time �(Asymptomatic and symptomatic) population through testing, 2.3 PARAMETERS �� − �������� ���� ���� ������� �� ��, Asymptomatic infection population �� − �������� ���� ����� ������� �� ��, symptomatic infection population � − �������� �� ��� ��������� �ℎ�� ��� ��, Asymptomatic 1 − � − �������� �� ��� ��������� �ℎ�� ��� ��, symptomatic IJO JOURNALS Volume 08


id: m-806
author: Akpan, I.U. Udo-; Chukwuchekwa, J. U.
date: 2024
pages: 32
extension: .pdf
mime: application/pdf
words: 21797
sentence: 356
flesch: 47
cache: cache/m-806.pdf
txt: txt/m-806.txt
title:
  ON A-TWO-PARAMETER DYNAMIC BUCKLING OF A VISCOUSLY DAMPED BUT CLAMPED COLUMN STRESSED BY A STEP LOAD

summary:
  where, �� = ����� � ��� + �� � � � + ������ �� ��� ��� � � �� (6.54c) �� = �������� � − �������� �� � � ��� ��� ��� � � ��� (6.54d) �� = ���� ��� �� − ������� �� � � ��� ��� ����� � � ���� (6.54e) where, ��(0) = �����, �� = ��� ��� + �� ����� � � ��� (6.54f) ��(0) = �����, �� = 9 � � �� + � ��� � � ��� � (6.54g) ��(0) = ������, ��� = � ��� − �� ����� � � ���� (6.54h) https://zenodo.org/doi/10.5281/zenodo.10726874 IJO JOURNALS Volume 07 | Issue 02 | February 2024 | https://ijojournals.com/index.php/m/index 14 IJO - INTERNATIONAL JOURNAL OF MATHEMATICS (ISSN: 2992-4421 ) I.U. Udo-Akpan1 * https://ijojournals.com/ Volume 07 Issue 02 || February, 2024 || ON A-TWO-PARAMETER DYNAMIC BUCKLING OF A VISCOUSLY DAMPED BUT CLAMPED COLUMN STRESSED BY A STEP LOAD On solving (6.54a,b), we get U�� (��) = �� cos ����̂ + �� sin ����̂ + �� ��� ��� ��� � � �� + �� ��� ���� ��� � � ��� + �� ��� ���� ��� � � ��� (6.55a) ��(0) = ������� ����� ������ = � (5.9a)


id: m-1112
author: Georgallides, Markos
title: THE POLYNOMIALS [ n.. Knots–FIGURES ] EDGE - POINTS VIBRATION & M-GEOMETRY
date: 2025
pages: 118
extension: .pdf
mime: application/pdf
words: 60619
sentence: 3217
flesch: 73
cache: cache/m-1112.pdf
txt: txt/m-1112.txt
summary:
  Cave–Spin-�̅� of PNS Space is �̅� = r m v and is the first Monad occupying 4-Spaces , i.e. From Number n , of the Equilibrium number of masses m 𝐧 in a System. From Momentum �̅� = r m v = m �̆� r² = ± [ 𝛑.𝐫𝟐 𝟐 ].


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type: ORG
entity:
  http://www.coe.int/en/web/portal/news-2013/-/asset_publisher/tehtoeuo1ozc/content/latviashould-address-ill-treatment-by-police-and-improve-detention-conditions ijo international journal


id: m-904
sid: 181
eid: 1
type: ORG
entity:
  https://www.mathworks.com/help/symbolic/solve-a-system-of-differential-equations.html ijo international journal of mathematics


id: m-1155
sid: 199
eid: 7
type: QUANTITY
entity:
  64 https://www.ncbi.nlm.nih.gov/pmc/articles/pmc7312233/ https://www.ncbi.nlm.nih.gov/pmc/articles/pmc7312233/


id: m-1155
sid: 199
eid: 8
type: ORG
entity:
  https://scholar.google.com/scholar_lookup?journal=clin+infect+dis&title=clinical+and+epidemiological+aspects+of+diphtheria:+a+systematic+review+and+pooled+analysis&author=sa+truelove&author=lt+keegan&author=wj+moss&volume=71&publication_year=2020&pages=89-97&pmid=31425581& https://pubmed.ncbi.nlm.nih.gov/?term=adegboye%20oa%5bauthor%5d


id: m-1155
sid: 200
eid: 1
type: ORG
entity:
  https://scholar.google.com/scholar_lookup?journal=bmc+infect+dis&title=diphtheria+resurgence+in+sada%e2%80%99a-yemen,+2017%e2%80%932020&author=aa+al-dar&author=m+al-qassimi&author=fh+ezzadeen&volume=22&publication_year=2022&pages=46&pmid=35016630& https://www.cdc.gov/diphtheria


id: m-1112
sid: 3324
eid: 1
type: PERSON
entity:
  http://vixra.org/ http://vixra.org/ http://www.ijrdo.org/ http://www.ajer.org/ http://vixra.org/ http://science/ http://www.ijrdo.org/ http://science/


# pos

id: m-293
sid: 193
tid: 9
pos: VERB
token:
  https://www.theatlantic.com/magazine/archive/2012/12/the-case-for-more-guns-and-more-gun-control/309161/

lemma:
  https://www.theatlantic.com/magazine/archive/2012/12/the-case-for-more-guns-and-more-gun-control/309161/


id: m-347
sid: 483
tid: 51
pos: NOUN
token:
  http://www.coe.int/en/web/portal/news-2013/-/asset_publisher/tehtoeuo1ozc/content/latviashould-address-ill-treatment-by-police-and-improve-detention-conditions

lemma:
  http://www.coe.int/en/web/portal/news-2013/-/asset_publisher/tehtoeuo1ozc/content/latviashould-address-ill-treatment-by-police-and-improve-detention-condition


id: m-347
sid: 629
tid: 1
pos: NOUN
token:
  http://www.safecommunitiesportugal.com/public-statement-by-psp-police-concerningfootball-violence-at-guimarães-and-lisbon/

lemma:
  http://www.safecommunitiesportugal.com/public-statement-by-psp-police-concerningfootball-violence-at-guimarães-and-lisbon/


id: m-1112
sid: 699
tid: 1
pos: PUNCT
token:
  ----------------------------------------------------------------------------------------------------------

lemma:
  ----------------------------------------------------------------------------------------------------------


id: m-1112
sid: 2578
tid: 28
pos: PUNCT
token:
  ---------------------------------------------------------------------------------------------------------------

lemma:
  ---------------------------------------------------------------------------------------------------------------


id: m-1112
sid: 2582
tid: 1
pos: PUNCT
token:
  -------------------------------------------------------------------------------------------------------------------------

lemma:
  -------------------------------------------------------------------------------------------------------------------------


id: m-1112
sid: 2602
tid: 1
pos: PROPN
token:
  -------------------------------------------------------------------------------------------------------------

lemma:
  -------------------------------------------------------------------------------------------------------------


