Academic Articles & Research Papers
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Mathematics, mathematicians, and mathematics education
I am one of a growing number of research mathematicians who are substantially engaged with school mathematics education. Such outreach has a long and honor-able tradition. In this lecture, I illustrate some of the ways that I think this can...
https://doi.org/10.1090/s0273-0979-05-01072-4
Existence results and Ulam-Hyers stability for a sequential deformable fractional initial value problem
Abstract In this study, we establish existence and Ulam-Hyers results for nonlinear sequential fractional differential equations involving the deformable derivative. We employ the Banach contraction principle and Krasnoselskii’s theorem to ...
10.1186/s13660-026-03510-y
Application of a Novel Multi-Agent Optimization Algorithm Based on PID Controllers in Stochastic Control Problems
The article considers the problem of finding the optimal on average control of the trajectories of continuous stochastic systems with incomplete feedback. This class of problems includes control problems in which the initial states are desc...
10.3390/math11132903
Different Behavior of 2-Substituted 3-Nitro-2<i>H</i>-chromenes in the Reaction with Stabilized Azomethine Ylides Generated from α-Iminoesters
The AgOAc-catalysed reaction of 3-nitro-2-phenyl-2H-chromenes with stabilized azomethine ylides generated from the imines based on methyl glycinate and arylaldehydes leads to a mixture of endo and endo’ isomers of the corresponding chromeno...
10.3390/molecules27248983
Mathematical Epidemiology
https://doi.org/10.1007/978-3-540-78911-6
Handbook of Mathematical Functions
The Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables was the culmination of a quarter century of National Bureau of Standards (NBS) work on core mathematical tools. Evaluating commonly occurring mathematical...
https://doi.org/10.1201/9781351069397-39
Actuarial Mathematics.
(1986). Actuarial Mathematics. By Newton L. Bowers, Jr., Hans U. Gerber, James C. Hickman, Donald A. Jones, Cecil J. Nesbitt. The American Mathematical Monthly: Vol. 93, No. 6, pp. 489-491....
https://doi.org/10.1080/00029890.1986.11971867
Visualization in Logic and Mathematics
https://doi.org/10.1007/1-4020-3335-4_2
Teachers of Mathematics
There are persons who do not like to teach who are conducting classes in our schools. There are persons who do not like mathematics who have been assigned to handle algebra classes and to instruct in arithmetic. There are men and women who ...
https://doi.org/10.5951/mt.41.6.0270
Constructivism in mathematics
Mathematics: The Loss of Certainty
https://doi.org/10.2307/1574971
The World of Mathematics
Volume 1: general survey, Philip E.B.Jourdain historical and biographical, Herbert Westren Turnbull et al arithmetic, numbers and the art of counting, Archimedes et al mathematics of space and motion, William Kingdon Clifford et al. Volume ...
Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century
Abstract The seventeenth century saw dramatic advances in mathematical theory and practice. With the recovery of many of the classical Greek mathematical texts, new techniques were introduced, and within 100 years, the rules of analytic geo...
https://doi.org/10.1093/oso/9780195084634.001.0001
Working Memory and Children’s Mathematical Skills: Implications for mathematical development and mathematics curricula
This study examined the contributions of the different components of the working memory (WM) model to a range of mathematical skills in children, using measures of WM function that did not involve numerical stimuli. A sample of 148 children...
https://doi.org/10.1080/01443410500341056
Cardiovascular Mathematics
https://doi.org/10.1007/978-88-470-1152-6
Solving a class of distributed-order time fractional wave-diffusion differential equations using the generalized fractional-order Bernoulli wavelets
In this research, we propose a new numerical method for solving a class of distributed-order fractional partial differential equations, specifically focusing on distributed-order time fractional wave-diffusion equations. The method begins b...
10.1016/j.padiff.2025.101131
On Intuitionistic Fuzzy Filters of Intuitionistic Fuzzy Coframes
Frame theory is the study of topology based on its open set lattice, and it was studied extensively by various authors. In this paper, we study quotients of intuitionistic fuzzy filters of an intuitionistic fuzzy coframe. The quotients of ...
10.1155/2013/793824
Analyzing the Transparency and the Efficiency of Innovative Transparent Electrodes for Space Solar Cell Applications
In this work a study about the behavior of nanomaterial-based innovative transparent electrodes is presented, with a special focus on graphene, for space photovoltaic applications, in particular their transparency and the efficiency of the ...
10.3390/engproc2026133130
An Agent Cascade for Explainable Relevance Assessment of Procurement Procedures in the Tenders Electronic Daily Environment
This paper considers the task of assessing the relevance of a procurement procedure for a supplier under conditions of growing volumes of open procurement data and increasing complexity of electronic publication services. It is shown that, ...
10.3390/math14173125