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41
Mathematics and Poetry · Yang–Baxter Equations, Boolean Algebras, and BCK-Algebras
Published 2022-04-01“…The current paper explores the potential of the areas between mathematics and poetry. We will first recall some definitions and results that are needed to construct solutions of the Yang–Baxter equation. …”
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42
Modules and homological algebra
Published 2023“…It has its origins in algebraic topology, but has since been applied to other areas of mathematics such as algebraic geometry and repre- sentation theory. …”
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Final Year Project (FYP) -
43
A personal perspective on Raghu Varadhan's role in the development of Stochastic Analysis.
Published 2009“…Stochastic Analysis is an area of mathematics that, in a little over 60 years, has grown from almost nothing to a signicant eld. …”
Working paper -
44
How Much Guidance Do Students Need? An Intervention Study on Kindergarten Mathematics with Manipulatives
Published 2018-10-01“…These results provide valuable information to teachers on the areas of mathematics that do not require the effort of high guidance. …”
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45
Valued Graphs and the Representation Theory of Lie Algebras
Published 2012-07-01“…Quivers (directed graphs), species (a generalization of quivers) and their representations play a key role in many areas of mathematics including combinatorics, geometry, and algebra. …”
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46
Maximizing the Sum of Radii of Balls Inscribed in a Polyhedral Set
Published 2019-06-01“…The sphere packing problem is one of the most applicable areas in mathematics which finds numerous applications in science and technology [1–4;8;9;11–14]. …”
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47
Math Bio or Biomath? Flipping the mathematical biology classroom
Published 2014-01-01“…As such, the contemporary life science student needs to be exposed to, if not well-versed in, many areas of mathematics to keep pace. However, traditional ways of teaching mathematics may not be able to provide life science majors the skills and experiences necessary to effectively use mathematics in their careers as practitioners and/or researchers, as these skills and experiences (for example, mathematical modeling and interdisciplinary collaboration) are difficult to teach using lecture-style approaches. …”
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48
Restriction conditions on PL(7, 2) codes (3 ≤ |𝓖i| ≤ 7)
Published 2018-04-01“…This problem has received great attention due to its importance in applications in several areas beyond mathematics and computer sciences. Many results on this subject have been achieved, however the conjecture is only solved for some particular values of n and r, namely: 3 ≤ n ≤ 5 and r ≥ 2; n = 6 and r = 2. …”
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49
Approximation model based on LSTM for predicting the next prime number in an infinite sequence
Published 2023-01-01“…As prime numbers are a fundamental component in many areas of mathematics, they have naturally found wide applications in various fields of knowledge, such as cryptography. …”
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50
ENUMERATION OF MEANDERS AND MASUR–VEECH VOLUMES
Published 2020-01-01“…Poincaré and naturally appear in various areas of mathematics, theoretical physics and computational biology (in particular, they provide a model of polymer folding). …”
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51
Coding Matrices for Wreath Products of Groups
Published 2023-07-01“…Wreath product, a powerful construction in group theory, has found extensive applications in various areas of mathematics and computer science. In this paper, we present a comprehensive analysis of coding matrices associated with wreath products. …”
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52
Fractional Bernoulli and Euler Numbers and Related Fractional Polynomials—A Symmetry in Number Theory
Published 2023-10-01“…Bernoulli and Euler numbers and polynomials are well known and find applications in various areas of mathematics, such as number theory, combinatorial mathematics, series expansions, and the theory of special functions. …”
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53
Programming Games for Logical Thinking
Published 2013-03-01“…Analytical thinking is a transversal skill that helps learners synthesize knowledge across subject areas; from mathematics, science, and technology to critical reading, critical examination, and evaluation of lessons. …”
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54
Distribution of two equidistant prime numbers
Published 2024“…Finally, the project includes discussions on the significance and various applications of prime numbers, elucidating their importance in diverse areas of mathematics and beyond.…”
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Final Year Project (FYP) -
55
Playing with LEGO and proving theorems
Published 2017“…Geometry makes far greater use of pictures and diagrams than tends to be the case for other areas of mathematics. This chapter focuses on diagrammatic proofs as a key case where proofs guide him/her through a series of actions. …”
Book section -
56
Jack's lemma for certain subclasses of analytic functions defined by a new fractional linear operator
Published 2016“…The theory of functional operator has been employed in several areas of mathematics, especially in the geometric function theory in the open unit disk. …”
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Conference or Workshop Item -
57
The Unique Role of Spatial Working Memory for Mathematics Performance
Published 2022-03-01“…We explored the multi-dimensionality of mathematics and working memory (WM) by examining the differential relationships between different areas of mathematics with visual, spatial, and verbal WM. …”
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58
Firing Patterns in the Parallel Chip-Firing Game
Published 2014-01-01“…This simple model, analogous to sandpiles forming and collapsing, contains much emergent complexity and has connections to different areas of mathematics including self-organized criticality and the study of the sandpile group. …”
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59
The Relationship between the Stasheff Polytope and Painted Trees Using Tubings
Published 2016-01-01“…A polytope plays a central role in different areas of mathematics. It is used quite heavily in applied fields of mathematics, such as medical imaging and robotics, geometric modeling. …”
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MULTI-TERM TIME-FRACTIONAL DERIVATIVE HEAT EQUATION FOR ONE-DIMENSIONAL DUNKL OPERATOR
Published 2022-09-01“…To achieve our goals, we use methods corresponding to the different areas of mathematics such as the theory of partial differential equations, mathematical physics, hypoelliptic operators theory and functional analysis. …”
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