Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Institution
-
- TÜBİTAK (2470)
- Claremont Colleges (1023)
- Louisiana State University (649)
- University of Montana (411)
- University of South Florida (299)
-
- Prairie View A&M University (298)
- Ministry of Higher and Secondary Specialized Education of the Republic of Uzbekistan (186)
- Georgia Southern University (164)
- University of Al-Qadisiyah (97)
- Rose-Hulman Institute of Technology (83)
- National University of Uzbekistan (61)
- Universitas Negeri Yogyakarta (57)
- University of the Pacific (57)
- Furman University (29)
- Association of Arab Universities (20)
- Bridgewater State University (16)
- Central Washington University (15)
- Southern Methodist University (15)
- Old Dominion University (14)
- Georgia Academy of Science (12)
- Brigham Young University (11)
- Kutztown University (9)
- International Journal of Emerging Multidisciplinaries: Mathematics (8)
- Kansas State University Libraries (8)
- DePaul University (7)
- United Arab Emirates University (7)
- University of Arkansas, Fayetteville (7)
- Embry-Riddle Aeronautical University (5)
- Purdue University (5)
- South Dakota State University (5)
- Keyword
-
- Mathematics (122)
- Quantitative literacy (49)
- Poetry (36)
- Statistics (34)
- Stability (31)
-
- Fixed point (30)
- Mathematics education (30)
- Assessment (29)
- Oscillation (25)
- Quantitative reasoning (25)
- Classroom practice (24)
- Educational resource (23)
- Convex function (22)
- Derivation (22)
- Math (22)
- Numeracy (22)
- Analytic functions (20)
- Geometry (20)
- Education (19)
- Analytic function (18)
- Calculus (18)
- Eigenvalues (18)
- Number theory (18)
- Teaching (18)
- Bi-univalent functions (17)
- Eigenvalue (17)
- Fixed point theorem (17)
- Policy (17)
- Subordination (17)
- Creativity (16)
- Publication Year
- Publication
-
- Turkish Journal of Mathematics (2470)
- Journal of Humanistic Mathematics (557)
- Communications on Stochastic Analysis (429)
- The Mathematics Enthusiast (411)
- Humanistic Mathematics Network Journal (409)
-
- Applications and Applied Mathematics: An International Journal (AAM) (297)
- Undergraduate Journal of Mathematical Modeling: One + Two (180)
- Theory and Applications of Graphs (120)
- Journal of Stochastic Analysis (118)
- Numeracy (117)
- Seminar on Continuity in Semilattices (102)
- Al-Qadisiyah Journal of Pure Science (97)
- Rose-Hulman Undergraduate Mathematics Journal (83)
- Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences (61)
- Scientific journal of the Fergana State University (59)
- Euleriana (57)
- PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika (57)
- Karakalpak Scientific Journal (48)
- CODEE Journal (46)
- Proceedings of the Annual Meeting of the Georgia Association of Mathematics Teacher Educators (42)
- Central Asian Problems of Modern Science and Education (33)
- Furman University Electronic Journal of Undergraduate Mathematics (29)
- Scientific Bulletin. Physical and Mathematical Research (26)
- Scientific Journal of Samarkand University (18)
- Applied Mathematics & Information Sciences (16)
- Journal of Math Circles (15)
- Virginia Journal of Science (13)
- Georgia Journal of Science (12)
- Undergraduate Review (12)
- The STEAM Journal (11)
- File Type
Articles 31 - 60 of 6158
Full-Text Articles in Physical Sciences and Mathematics
Special Subdiagrams Of Young Diagrams And Numerical Semigroups, Meral Süer, Mehmet Yeşi̇l
Special Subdiagrams Of Young Diagrams And Numerical Semigroups, Meral Süer, Mehmet Yeşi̇l
Turkish Journal of Mathematics
In this study, Young diagrams and their corresponding numerical sets are considered, and a new notion called special subdiagrams is described. Characterizations of special subdiagrams and their corresponding numerical sets, as well as the conditions when they are numerical semigroups, are provided. Young diagrams of symmetric, almost symmetric and Arf numerical semigroups are also considered and properties of their special subdiagrams are given.
Strongly I-Bicritical Graphs, Michelle Edwards, Gary Macgillivray, Shahla Nasserasr
Strongly I-Bicritical Graphs, Michelle Edwards, Gary Macgillivray, Shahla Nasserasr
Theory and Applications of Graphs
A graph $G$ is \emph{strongly $i$-bicritical} if it has independent domination number $i(G) \geq 3$, and $i(G - \{x, y\}) = i(G) - 2$ whenever $x$ and $y$ are two non-adjacent vertices of $G$. We describe five constructions of strongly $i$-bicritical graphs. For four of them, necessary and sufficient conditions for the graph produced by the construction to be strongly $i$-bicritical are given. The strongly $i$-bicritical graphs with independent domination number $i(G) = 3$ are characterized, and it is shown that the strongly $i$-bicritical graphs with independent domination number $i(G) \geq 5$ may be hard to characterize. It is shown …
A Characterization Of The Operator Entropy In Terms Of An Isometry Property Related To Trace Norms, Ryo Inayoshi
A Characterization Of The Operator Entropy In Terms Of An Isometry Property Related To Trace Norms, Ryo Inayoshi
Journal of Stochastic Analysis
No abstract provided.
Fuzzy Software Reliability And Optimal Release Policy With Log-Logistic Testing Effort: An Analysis, Seema Rani, Jitendra Kumar, N. Ahmad
Fuzzy Software Reliability And Optimal Release Policy With Log-Logistic Testing Effort: An Analysis, Seema Rani, Jitendra Kumar, N. Ahmad
Applications and Applied Mathematics: An International Journal (AAM)
We will discuss a Software Reliability Growth Model (SRGM) using fuzzy and imperfect debugging environments; we integrate Log-Logistic (LL) Testing Effort Function (TEF) into fuzzy SRGMs. Estimation methods, such as Least Square and Maximum Likelihood, are used to obtain the value of Testing-Effort and SRGMs parameters. It is not always possible and is constantly required to quantify the exact value of parameters. Due to human conduct, the value of Testing-Effort and SRGM parameters cannot be exactly quantified. In this scenario, parameters are supposed to be vague or fuzzy. To make the software consistent, the developer needs to propose some quantity …
On Constructions Of Maximum Distance Separable Pascal-Like Rhotrices Over Finite Fields, Neetu Dhiman, Mansi Harish, Shalini Gupta, Arun Chauhan
On Constructions Of Maximum Distance Separable Pascal-Like Rhotrices Over Finite Fields, Neetu Dhiman, Mansi Harish, Shalini Gupta, Arun Chauhan
Applications and Applied Mathematics: An International Journal (AAM)
Cryptography and coding theory are the important areas where Maximum Distance Separable (MDS) matrices are used extensively. The Pascal matrix plays vital role in combinatorics, matrix theory and its properties provide interesting combinatorial identities. Pascal matrices also have a wide range of applications in cryptography. In this paper, we define Pascal-like rhotrix, and further, we construct MDS Pascal-like rhotrices over finite fields.
Some Generalizations Of Corona Product Of Two Graphs, Aparajita Borah, Gajendra Pratap Singh
Some Generalizations Of Corona Product Of Two Graphs, Aparajita Borah, Gajendra Pratap Singh
Applications and Applied Mathematics: An International Journal (AAM)
In this paper we are seeking to conceptualize the notion of corona product of two graphs to contrive some special types of graphs. That is, here our attempt is to regenerate a familiar graph as a product graph. We are considering seven familiar graphs here to reconstruct them with the help of corona product of two graphs. Such types of families of the graphs and operations can be used to study biological pathways as well as to find the optimal order and size for the special types of graphs.
The Distinguishing Number Of Some Special Kind Of Graphs, Arti Salat, Amit Sharma
The Distinguishing Number Of Some Special Kind Of Graphs, Arti Salat, Amit Sharma
Applications and Applied Mathematics: An International Journal (AAM)
In the present study, the distinguishing number of some different graphs is examined where different graphs like the coconut tree graph, firecracker graph, jellyfish graph, triangular book graph, and banana tree graph have been taken into account. The major goal of the proposed study is to understand the distinguishing number of different graphs for better insights. It is evident from the results that the distinguishing numbers and automorphism groups of the above-mentioned graphs have been carried out successfully.
Construction Of Normal Polynomials Using Composition Of Polynomials Over Finite Fields Of Odd Characteristic, Shalini Gupta, Manpreet Singh, Rozy Sharma
Construction Of Normal Polynomials Using Composition Of Polynomials Over Finite Fields Of Odd Characteristic, Shalini Gupta, Manpreet Singh, Rozy Sharma
Applications and Applied Mathematics: An International Journal (AAM)
A monic irreducible polynomial is known as a normal polynomial if its roots are linearly independent over Galois field. Normal polynomials over finite fields and their significance have been studied quite well. Normal polynomials have applications in different fields such as computer science, number theory, finite geometry, cryptography and coding theory. Several authors have given different algorithms for the construction of normal polynomials. In the present paper, we discuss the construction of the normal polynomials over finite fields of prime characteristic by using the method of composition of polynomials.
Optimizing Buying Strategies In Dominion, Nikolas A. Koutroulakis
Optimizing Buying Strategies In Dominion, Nikolas A. Koutroulakis
Rose-Hulman Undergraduate Mathematics Journal
Dominion is a deck-building card game that simulates competing lords growing their kingdoms. Here we wish to optimize a strategy called Big Money by modeling the game as a Markov chain and utilizing the associated transition matrices to simulate the game. We provide additional analysis of a variation on this strategy known as Big Money Terminal Draw. Our results show that player's should prioritize buying provinces over improving their deck. Furthermore, we derive heuristics to guide a player's decision making for a Big Money Terminal Draw Deck. In particular, we show that buying a second Smithy is always more optimal …
An Icosahedron For Two: A Many-Sided Look At Making A Duet, Colleen T. Wahl
An Icosahedron For Two: A Many-Sided Look At Making A Duet, Colleen T. Wahl
LASER Journal
The space around our bodies is not empty or neutral. In fact, the space around our bodies is loaded with meaning and important. When we move through it, whether it be in our daily lives or a choreographer making specific choices in order to convey a message, we activate new understandings in our lives. As a dancer and choreographer, I created a duet from improvisational climbs on an icosahedron. This article discusses choreographing from the form icosahedron and connects Laban's theories of space harmony with the activation of meaning in my life.
Two Non–*–Isomorphic *–Lie Algebra Structures On Sl(2,R) And Their Physical Origins, Luigi Accardi, Irina Ya. ArefʹEva, Yungang Lu, Igorʹ VasilʹEvich Volovich
Two Non–*–Isomorphic *–Lie Algebra Structures On Sl(2,R) And Their Physical Origins, Luigi Accardi, Irina Ya. ArefʹEva, Yungang Lu, Igorʹ VasilʹEvich Volovich
Journal of Stochastic Analysis
No abstract provided.
Mathematical Relationships, David Sheskin
Mathematical Relationships, David Sheskin
Journal of Humanistic Mathematics
A digital collage depicting the mathematics of interpersonal relationships.
Automorphisms: New Cars For 2024, Jane P. Sheldon
Automorphisms: New Cars For 2024, Jane P. Sheldon
Journal of Humanistic Mathematics
This review of new cars for 2024 demonstrates total variation.
Hypatia's Math: A Play, Daniel S. Helman
Hypatia's Math: A Play, Daniel S. Helman
Journal of Humanistic Mathematics
Hypatia of Alexandria was the most famous woman mathematician of antiquity, and her story is as relevant now as it was in her day. This play tells her story. While the events in the play are based closely on extant historical texts, inspiring excerpts from classical works by Porphyry, Plotinus, Aristotle and Plato are woven into the action to further the plot and add to the classical mood. Dance and music, including an Homeric hymn, add to the artistic texture.
Persistence: A Romance In Many Dimensions, Tony Bedenikovic
Persistence: A Romance In Many Dimensions, Tony Bedenikovic
Journal of Humanistic Mathematics
This is a short poem which is inspired by Edwin Abbott's Flatland. The poem follows the narrator through a typical day with a focus on the individual's persistence in the face of nature's brawn and magnitude.
The Free Numbers, Jessica Greenbaum
The Free Numbers, Jessica Greenbaum
Journal of Humanistic Mathematics
No abstract provided.
The Point At Infinity, Josh Hiller
The Point At Infinity, Josh Hiller
Journal of Humanistic Mathematics
A poem about the longing for parallel lines to meet.
Pied Beauty, Pamela Vale
Pied Beauty, Pamela Vale
Journal of Humanistic Mathematics
This is a shape poem about the beauty of mathematics formed with the lines containing the number of words corresponding to the digits in pi (to 26 places).
The Conviction Of Miss Prediction, Dane C. Joseph
The Conviction Of Miss Prediction, Dane C. Joseph
Journal of Humanistic Mathematics
Miss Prediction is questioned in a court of law over her involvement in the mischaracterization of linear models when they were inappropriate.
Variations On A Meme: Thoughts And Responses To Isaac Elishakoff’S “Differential Equations Of Love And Love Of Differential Equations", Jonathan Kinsman
Variations On A Meme: Thoughts And Responses To Isaac Elishakoff’S “Differential Equations Of Love And Love Of Differential Equations", Jonathan Kinsman
Journal of Humanistic Mathematics
This folder contains reflections and three poems written in response to Isaac Elishakoff’s JHM article “Differential Equations of Love and Love of Differential Equations" (July 2019).
A Personal And Multicultural Journey Through The World Of Games (With A Little Math) Or Book Review: Around The World In Eighty Games, By Marcus Du Sautoy, Karl-Dieter Crisman
A Personal And Multicultural Journey Through The World Of Games (With A Little Math) Or Book Review: Around The World In Eighty Games, By Marcus Du Sautoy, Karl-Dieter Crisman
Journal of Humanistic Mathematics
Author and number theorist Marcus Du Sautoy has written a book about games, including a light dose of mathematics. In it, he journeys through far more than (his choice of) eighty of “the world’s greatest games”, laying out a charming voyage through many lands. Despite some reservations, this reviewer finds that Around the World in Eighty Games is well-written and quite fascinating, largely due to its idiosyncratic, personal nature.
Quik Church, Route 3.141592, Sarah Voss
Quik Church, Route 3.141592, Sarah Voss
Journal of Humanistic Mathematics
The following set of poems are from one of ten sections in a collection of poetry called Quik Church: Short Poems that Travel Far. Each section illustrates one of many “streets” which individuals often take on their spiritual journey through life, e.g., the Old Gods Path, Nature Trail, Memory Skyway, Mystic Avenue, Pastoral Lane, and so on. This one, Route 3.141592, is the route of mathematics and the science that depends on mathematics.
Hockey Card Statistics Are Stagnant And Stale, Egan J. Chernoff
Hockey Card Statistics Are Stagnant And Stale, Egan J. Chernoff
Journal of Humanistic Mathematics
The purchase of a coffee at a Canadian institution, Tim Hortons, turned into an informal investigation into hockey card statistics. Turns out, hockey card statistics are stagnant and stale. This was disappointing to see because the game of hockey has changed, the statistics used to keep track of the game have changed. Even the cards have changed. Well, not the back of the cards, which do not well enough paint a statistical picture of the hockey player photographed on the front of the card.
The Limits Of Data Science, David E. Drew
The Limits Of Data Science, David E. Drew
Journal of Humanistic Mathematics
Data science can contribute valuable predictions in diverse fields. But I write to express some concerns and red flags. I suggest that data science is being oversold. This article contains three questions that I believe data science must address as this new discipline matures. Is data science significantly different from statistics? This is a question that has haunted the field since the term first was introduced. By creating algorithms based on current societal decision rules that may be biased, even bigoted, does data science lock in and exacerbate inequality? Scholars have identified a continuum from data to information to knowledge …
Polygon Quadrature And Dodecagonal Tessellation With Pattern Blocks, Gunhan Caglayan, Ben Kamau
Polygon Quadrature And Dodecagonal Tessellation With Pattern Blocks, Gunhan Caglayan, Ben Kamau
Journal of Humanistic Mathematics
The age-old challenge of polygon quadrature involves converting a polygon into a square of equal area. In this educational resource, we utilize pattern blocks, commonly employed instructional aids in K-12 education across the United States, to visually demonstrate the transformation of different equilateral and regular pattern block polygons into squares. This is achieved through the application of the area conservation principle and geometric congruence/similarity reasoning.
Reflections On Teaching Mathematics In Prisons, Matthew Junge
Reflections On Teaching Mathematics In Prisons, Matthew Junge
Journal of Humanistic Mathematics
I started teaching math in prison ten years ago during my PhD studies. Since then, I have taught for three different college-in-prison programs across the country. The goal of this piece is to communicate my experiences with the hopes of encouraging more mathematicians to get involved.
Benefits Of Risk-Taking In Teaching Mathematics, Mehmet Kirmizi, Abigail Quansah, Zafer Buber
Benefits Of Risk-Taking In Teaching Mathematics, Mehmet Kirmizi, Abigail Quansah, Zafer Buber
Journal of Humanistic Mathematics
In this paper, we, a group of graduate students in mathematics education, discuss some of the metacognitive benefits of the non-traditional teaching methods we observed employed by one of our professors. This professor’s methods challenge the common belief that well-managed class time is key for positive learning outcomes. Instead, he orients his teaching to share the exploration and sense-making phases of doing mathematics. The goal of his teaching is to share the idea that learning mathematics is a process of “refining our mathematical thinking”. We argue that this approach to teaching helps students see that mathematics is a human endeavor, …
The Frankensteinian Nature Of Mathematics, Ali Barahmand
The Frankensteinian Nature Of Mathematics, Ali Barahmand
Journal of Humanistic Mathematics
Frankenstein is a story about a scientist who creates a sapient creature that gets out of control and horrifies its creator by its unexpected behavior. In this note, we show that this type of undesirable behavior can reflect a part of the nature of mathematics, and that its origin is related to the ontological question of whether mathematics is invented or discovered. Based on a review of the relationship be- tween discovery and invention, we demonstrate that mathematics has similarities and differences with both discovery and invention. In the natural sciences, new instruments have to be invented to discover new …
Does Chatgpt Know Calculus?, Kris H. Green
Does Chatgpt Know Calculus?, Kris H. Green
Journal of Humanistic Mathematics
Academics and educators across the world are grappling with how OpenAI’s new software, ChatGPT, will impact teaching and learning. This essay explores ChatGPT’s response to a typical calculus problem as a way of illustrating its functionality and limitations.
Seating Groups And 'What A Coincidence!': Mathematics In The Making And How It Gets Presented, Peter J. Rowlett
Seating Groups And 'What A Coincidence!': Mathematics In The Making And How It Gets Presented, Peter J. Rowlett
Journal of Humanistic Mathematics
Mathematics is often presented as a neatly polished finished product, yet its development is messy and often full of mis-steps that could have been avoided with hindsight. An experience with a puzzle illustrates this conflict. The puzzle asks for the probability that a group of four and a group of two are seated adjacently within a hundred seats, and is solved using combinatorics techniques.