# m: A Pathfinder

This is a computer-generated pathfinder created against the Distant Reader study called m.

Each Distant Reader study carrel is composed of many individual items. Each item is bibliographically described with author, title, date, summary, and keyword values. Below is a list of the items' most signficant keywords as well as lists of the items themselves. Purpusing the content of this pathfinder provides the student, researcher, or scholar with one way to get their heads around the scope of the carrel. The keywords include:

> Mathematics; Learning; Flow; Students; Analysis; Equilibrium; Data; Energy; Space; Semigroup; Group; Cholera; Guns; Dilutions

Depending on how this pathfinder was created, many of the bibliographic sections will include elaborations on the meaning(s) of the given keywords. These elaborations were generated by feeding the items' summaries to a large langauge model and asking the model to address the question, "What is X?", where "X" is the keyword. The result will be a few sentences of elaboration. Be forewarned. The elaborations are often plausible, but they should not be take as truth. Instead, they should be taken as points for consideration.

## Mathematics

- THE POLYNOMIALS [ n.. Knots–FIGURES ] EDGE - POINTS VIBRATION & M-GEOMETRY by Georgallides, Markos (2025) - 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 ]. Keywords: anti; august; caves; charge �; circle; constant; e =; energy; energy e; energy 𝐄; force; g ≡; gravity; https://ijojournals.com/index.php/m/index; ijo; international; issn; issue; journal; material; mathematics; mechanism; mfmf; momentum �; motion; origination; p =; particles; pns; point; r =; space; spin �; system; unit; vector �; velocity �; volume; wave; | =; | �; ̅ �; ̆ �; ≡ |; ≡ ≡; ≡ �; ≡ 𝐀𝐁̅̅; � =; � |; � ̅; � ̆; � ←; � ≡; � �; � 𝐅; 𝐀 𝚽; 𝐄 𝐅; 𝐄 𝐊; 𝐄 𝐏; 𝐄 𝐑; 𝐄 𝐓; 𝐄 𝐔; 𝐅 𝐌; 𝐉𝟑.; 𝐋 𝐏
- GEOMETRY LEARNING BASED ON COGNITIVE CONFLICT IN THE DEPARTMENT OF MATHEMATICS by Siregar N, Hasratuddin; Fauzi, KMS. M. Amin; Siregar, Nurhasanah (2020) - 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. Keywords: cognitive; conflict; geometry; intelligence; learning; mathematics; people; students
- Mathematical modeling of Climate change and Desertification: A case study of Yobe State, Nigeria. by Hamed, Abdulaziz Babiker Mohamed; Bawa, Bulama Adamu (2022) - ��(����������)� �������√������(�������) 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 ��(����������)� ����������(�������) Keywords: africa; change; climate; desertification; https://www.ijojournals.com/index.php/m/index; ijo; international; issue; journal; land; mathematics; mathematics volume; september; volume; − �; � �
- LEARNING PROCESS CONTROL MTsN 1 MEDAN by Siregar N, Hasratuddin; Rambe, Titin Rahmayanti; Rola, Fasti; Pratiwi, Siti Habsari; Pratama, Anggili; Dongoran, Jhohas (2023) - ���(�)��(� − ��). ���(�)��(� − ��) a) Keywords: english; mathematics; value; � =; � �
- CONTROL OF THE LEARNING PROCESS AT DISTRICT 5 JULY ELEMENTARY SCHOOL, BIREUEN by Siregar N, Hasratuddin; Hayati, Rahmi; Karim, Asrul; *, Facrurazi; *, Marzuki; Marianus, Sumarlin Mangandar (2023) - | 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%)( �.��������� �.������� ). Keywords: analysis; data; indonesian; mathematics; process; � �
- Predicting Students’ Study Habits through Attitude to Mathematical Mistakes in Alimosho Local Government Area, Lagos State. by LAWAL, Ruth Folake; OLUWOLE, Deborah Oyeronke; OLANIYI-OJOAWO, Inioluwa Damilola (2022) - 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. Keywords: attitude; class; habits; journal; mathematics; mistakes; students; study
- Ability Solving Problem And Think Critical Mathematical Through Problem based Flipped classroom Help Videos by *, Rosita; *, Hasratuddin; Aziz, Tian Abdul (2023) - 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. Keywords: ability; class; classroom; control; learning; mathematics; model; problem; solving; students
- The Students' Mathematical Creative Thinking Ability Strategy Mathematical Habits Of Mind Based by Siregar N, Hasratuddin; Fauzi, Amin; Siregar, Nurhasanah (2023) - 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 . Keywords: ability; facet; learning; lecturer; mathematics; mhm; question; strategy; student; think; thinking

## Learning

- 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 by Fauzi, M. Amin; Siregar, Hasratuddin; Siregar, Budi Halomoan; Sari, Dwi Novita (2022) - 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. Keywords: ability; class; learning; non; problem; routine; student; thinking
- LEARNING PROCESS ANALYSIS MIS GUPPI PADANG HILIR (Using a Multivariate Analysis Approach) by Maulida, Rizki; Hutasuhut, Riska Fadhilah; Tindaon, Juwita; Restella, Rika; *, Hasratuddin (2023) - 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. Keywords: correlation; data; learning; science; subjects

## Flow

- Numerical Computation of Reactive Flow of Third Grade Fluid With Heat Generation by Obi, Boniface Inalu; Esekhaigbe, Edwin; Uka, Uchenna Awucha (2025) - 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. Keywords: flow; fluid; grade; issue
- Mathematical study of MHD Convective flow with chemical reaction through a porous medium in a vertical wavy channel by K. K, Venuprasad; Shivashankara, Prof. K.; D. S, Dhananjaiah; P, Prakasha. (2024) - 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. Keywords: chemical; flow; ijo; issue; march; mhd; temperature; volume;  
- A Mathematical analysis of oscillatory free convection in a vertical wavy channel with Chemical reaction by D.S, Dhananjaiah; Shivashankara, Prof. K.; K. K, Venuprasad; P, Prakasha. (2024) - 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. Keywords: chemical; convection; flow; heat; issue; mass; reaction; transfer;  
- Mathematical Analysis of Effect of Viscous dissipation on Transient MHD convective Heat transfer through a porous medium in a vertical channel by P, Prakasha.; K. Shivashankara, Prof.; K. K, Venuprasad; D. S, Dhananjaiah (2024) - 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. Keywords: april; dissipation; effect; flow; heat; issue; transfer; volume; π/4;  

## Students

- PROCRASTINATION OF STUDENTS IN WORKING MATHEMATICS by Hima, Lina Rihatul; Sari, Lilin Nur Indah; *, Samijo (2021) - 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. Keywords: assignments; female; math; procrastination; students

## Analysis

- DISTINCTION BETWEEN SPEPECTRAL ANALYSIS AND HARMONIC ANALYSIS IN TIME SERIES ANALYSIS: EXPERIENCE FROM THE NUMBER CRUNCHER STATISTICAL SYSTEM (NCSS) SOFTWARE. by Linus, Okafor Uchenwa; Oladejo, M.O.; Uwa, C.O.; A.T, Jighjigh,; Chineyob, D.T. (2020) - 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. Keywords: analysis; harmonic; ─ lag; ─ ─; � �
- PERFORMANCE EVALUATION OF CANONICAL CORRELATION ANALYSIS AND REDUNDANCY ANALYSISUSING GAUSSIAN, GAMMA, EXPONENTIAL AND BETA DISTRIBUTED DATA by Idochi, Okenwe; Udo, Osuagwu, Chidimma (2024) - 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. Keywords: analysis; correlation; distribution; exponential; gamma; issue; variables

## Equilibrium

- Modeling and Analysis of the Interaction of Neutral and Drug Populations: A Competing Species Model by Kazmierczak, A (2020) - 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. Keywords: abuse; drug; drug abuse; drug use; editor; equilibrium; health; institute; journal; national; new; population; research
- Modeling and Analysis of the Interaction of Neutral Populations and Violent Cop Populations: A Competing Species Model by Kazmierczak, A (2020) - 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. Keywords: amnesty; brutality; equilibrium; international; journal; july; june; news; october; police; police violence; policing; rights; violence
- Modeling and Analysis of the Interaction of Neutral and Protester Populations: A Competing Species Model by Kazmierczak, A (2020) - │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. Keywords: equilibrium; population

## Data

- Adequacy of H-Likelihood Estimation Method for Unbalanced Clustered Counting Data Models. by ALsawi, Khalil Mostafa; El-Saeiti, Intesar N.; Shamia, Gebriel M. (2021) - 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| Keywords: data; linear; models; n=5; � �

## Energy

- Using Energy Conservation Concept and Basic Mathematical Modeling Techniques to Study the Effect of Greenhouses Gases to Earth's Climate System. by Hamed, Abdulaziz Babiker Mohamed; Abu Aasha, Younis Ahamed. (2022) - 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 � = ( ����. Keywords: climate; earth; energy; model; surface; system; temperature; � =; � �

## Space

- BOUNDEDNESS OF GENERALLY FRACTIONAL INTEGRAL OPERATOR ON GENERAL MORREY SPACE by Nurhayati, Lina; Gunawan, Hendra; Gunawan, Iwan; Hermawan, Haryono Edi (2019) - 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

  Keywords: space

## Semigroup

- ON STABILITY IN SEPARATIVE SEMIGROUP by Tom, Otobong Johnson; Udoaka, Otobong G.; Udofia, E. S. (2025) - 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. Keywords: semigroup; separative; stability
- Stability in Semigroups of Bounded Linear Operators: Bridging Algebraic and Analytic Notions by Tom, Otobong Johnson; Udoaka, Otobong G. (2025) - 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 ) Keywords: operator; semigroup; stability

## Group

- Algebraic and Topological Analysis of Enveloping Semigroups in Transformation Groups: Proximal Equivalence and Homomorphic Image by John, Michael N.; Otobong. G, Udoaka, (2023) - 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. Keywords: enveloping; group; issue; journal; transformation; volume
- Para-G Relations and Hirsch Length in Residually Nilpotent Groups by John, Michael N.; Okeke, Stephen I.; Nwala, Boniface O.; G., Udoaka Otobong. (2024) - Therefore, �� is the inverse limit of polycyclic groups, and it is locally polycyclic. Nilpotent groups in cryptographic key exchange protocol for N≥ 1. Keywords: group; issue; john; journal; volume

## Cholera

- A Mathematical Model on Cholera Outbreak with Vaccination by Olokuntoye, Bolanle Adeola (2025) - 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. Keywords: cholera; vaccination

## Guns

- The Great Gun Grab by Kazmierczak, A (2020) - Chapman et al. 2006. Irvin et al. 2014. Keywords: et al; g =; guns; https://en.wikipedia.org/wiki/gun_control https://en.wikipedia.org/wiki/gun_control

## Dilutions

- Physiological responses of Solanum nigrum L. Species to the heavy crude oil by Hamaden, Ghazala Ahmad (2021) - 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. Keywords: black; dilutions; germination; growth; journal; nightshade; nigrum; oil; plant; seedling; soil; solanum

## Epilogue

For more detail, about this study carrel, see the computed home page. For more detail about study carrels in general, see the read me file.

Created: 2025-12-23