Academic Articles & Research Papers

Mathematics as a science of patterns

Mathematics as a Science of Patterns is the definitive exposition of a system of ideas about the nature of mathematics which Michael Resnik has been elaborating for a number of years. In calling mathematics a science he implies that it has ...

Linking Preservice Teachers' Mathematics Self‐Efficacy and Mathematics Teaching Efficacy to Their Mathematical Performance

This study examined preservice teachers' mathematics self‐efficacy and mathematics teaching efficacy and compared them to their mathematical performance. Participants included 89 early childhood preservice teachers at a Midwestern universit...

Scientific data cloud construction and service of Chinese Academy of Sciences

Scientific Data Resource Integration and Sharing Project is one of the 5 major informatization-specific projects of CAS for the 12th Five-Year Plan period.The overall construction of the project ideas,construction,technical innovation and s...

Solar heat transport analysis of Falkner Skan Casson ternary hybrid nanoparticles over a permeable wedge

Abstract In the modern era, energy has become a vital concern across all sectors, while efficient energy generation remains a significant challenge for scientists and engineers. To overcome this issue, researchers have developed ternary hyb...

Superconformal indices of N $$ \mathcal{N} $$ = 4 Chern-Simons matter theories

Abstract Gaiotto and Witten found that one can construct 3d N $$ \mathcal{N} $$ = 4 Chern-Simons matter theories by using N $$ \mathcal{N} $$ = 4 SCFT whose momentum map of global symmetries satisfy special condition. Usually, one uses free...

New Insights into Cd²⁺/Fe³⁺ Co-Doped BiOBr for Enhancing the Photocatalysis Efficiency of Dye Decomposition under Visible-Light

Uniform flowerlike microspheres Cd2+/Fe3+ co-doped BiOBr were prepared with the aid of the microwave hydrothermal process. The results indicate that the degradation performance of Bi1−xCdxOBr and Bi1−xFexOBr are 1.31 and 2.05 times that of ...

Further Results on a Curious Arithmetic Function

Let p be an odd prime number and n be a positive integer. Let vpn, N∗, and Q+ denote the p-adic valuation of the integer n, the set of positive integers, and the set of positive rational numbers, respectively. In this paper, we introduce an...

Theories of Mathematical Learning

Contents: Preface. Part I: P. Cobb, Sociological and Anthropological Perspectives on Mathematics Learning. P. Cobb, B. Jaworski, N. Presmeg, Emergent and Sociocultural Views of Mathematical Activity. J. Voigt, Negotiation of Mathematical Me...

Skills underlying mathematics: The role of executive function in the development of mathematics proficiency

The successful learning and performance of mathematics relies on a range of individual, social and educational factors. Recent research suggests that executive function skills, which include monitoring and manipulating information in mind (...

Mathematics and Plausible Reasoning

This is a guide to the practical art of plausible reasoning, this book has relevance in every field of intellectual activity. Professor Polya, a world-famous mathematician from Stanford University, uses mathematics to show how hunches and g...

Mathematical Foundations of Neuroscience

The Effects of the Weak Allee Effect and Disease on the Dynamics of a Predator–Prey System: Stability and Bifurcation Properties

In this paper, an eco-epidemiological model with a weak Allee effect and prey disease dynamics is discussed. Mathematical features such as non-negativity, boundedness of solutions, and local stability of the feasible equilibria are discusse...

AMPLITUDE-TIME ANALYSIS OF BIOMECHANICAL PATTERNS OF HUMAN MOTIONS

Biomechanical analysis of motions solves the tasks of efficiency estimation of movement realization, search of technique optimal variants and tactics of motion performance, definition of a degree and reasons of not matching real movement ac...

IWT and RSA based asymmetric image encryption algorithm

An asymmetric image encryption algorithm based on integer wavelet transformation (IWT) and Rivest-Shamir-Adleman (RSA) algorithm is proposed. Firstly, two plain characteristic parameters (PCP) of the plain image are extracted and two random...

Computer Science and Its Relation to Mathematics

(1974). Computer Science and its Relation to Mathematics. The American Mathematical Monthly: Vol. 81, No. 4, pp. 323-343....

Can Mathematics Education and History of Mathematics Coexist?

DAF-UNet: Deformable U-Net with Atrous-Convolution Feature Pyramid for Retinal Vessel Segmentation

Segmentation of retinal vessels from fundus images is critical for diagnosing diseases such as diabetes and hypertension. However, the inherent challenges posed by the complex geometries of vessels and the highly imbalanced distribution of ...

A Truncated-Kernel Mollification Method for the Cauchy Problem of the Modified Helmholtz Equation

This paper addresses the Cauchy problem for the multi-dimensional modified Helmholtz equation, a classical and severely ill-posed problem. A truncated-kernel mollification method is proposed as an effective regularization approach. Both the...

All Near Neighbor GraphWithout Searching

Given a collection of n objects equipped with a distance function d(·, ·), the Nearest Neighbor Graph (NNG) consists in finding the nearest neighbor of each object in the collection. Without an index the total cost of NNG is quadratic. Usin...

Exact Solutions of Damped Improved Boussinesq Equations by Extended (G′/G)-Expansion Method

With the help of the auxiliary function method, we solved the improved Boussinesq (IBq) equation with fluid dynamic damping and the modified IBq (IMBq) equation with Stokes damping, and we obtained their three types of travelling wave exact...