Academic Articles & Research Papers

Lower Bounds for Dynamic Programming on Planar Graphs of Bounded Cutwidth

Many combinatorial problems can be solved in time $\mathcal{O}^*(c^{\mathrm{tw}})$ on graphs of treewidth $\mathrm{tw}$, for a problem-specific constant $c$. In several cases, matching upper and lower bounds on $c$ are known based on the St...

Lectures on Applied Mathematics

Conceptual Mathematics

In the last 60 years, the use of the notion of category has led to a remarkable unification and simplification of mathematics. Conceptual Mathematics introduces this tool for the learning, development, and use of mathematics, to beginning s...

Creativity: The Essence of Mathematics

For the gifted mathematics student, early mastery of concepts and skills in the mathematics curriculum usually results in getting more of the same work and/or moving through the curriculum at a faster pace. Testing, grades, and pacing overs...

National Council of Teachers of Mathematics

Organized groups of teachers of mathematics or of individuals preparing to become teachers of mathematics may petition the NCTM Board of Directors to become affiliated with the Council. Affiliated Groups are entitled to send a delegate to t...

Pedestrian–bus route and pickup location planning for emergency evacuation

Planning for a bus-based regional evacuation is essential for emergency preparedness, especially for hurricane or flood prone urban environments with large numbers of transit-dependent or transit-captive populations. This paper develops an ...

Mathematical Reasoning

Contents: Preface. Part I: Introduction. L.D. English, Analogies, Metaphors, and Images: Vehicles for Mathematical Reasoning. Part II: Cognitive Foundations for a Mind-Based Mathematics. G. Lakoff, R.E. Nunez, The Metaphorical Structure of ...

Mathematical creativity and school mathematics: Indicators of mathematical creativity in middle school students

As students progress through the educational system their interest in mathematics diminishes. Yet there is an ever increasing need within the workforce for individuals who possess talent in mathematics. The literature suggests that mathemat...

Advanced Mathematical Thinking

This chapter presents the principal currents and results in recent cognitive research on advanced mathematical thinking processes. The ambiguity in the phrase advanced mathematical thinking processes is intentional: The word advanced can an...

How Does Anxiety Affect the Relationship between the Customer and the Omnichannel Systems?

Omnichannel is not just a marketing, e-commerce, or customer support buzzword. This future customer engagement platform helps businesses communicate with customers through centralized channels on a smart interface. It is difficult to achiev...

Investigating late-time cosmology using Finsler-Randers geometry and Barthel connection: Observational constraints and implications

In this study we explore cosmological anisotropies and dark energy using Finsler-Randers geometry, an extension of Riemannian geometry that incorporates directional dependence in the spacetime structure. We investigate whether Finslerian mo...

Solvability of fractional multi-point boundary-value problems with p-Laplacian operator at resonance

In this article, we consider the multi-point boundary-value problem for nonlinear fractional differential equations with $p$-Laplacian operator: $$\displaylines{ D_{0^+}^\beta \varphi_p (D_{0^+}^\alpha u(t)) = f(t,u(t),D_{0^+}^{\alp...

Generic Riemannian Maps from Nearly Kaehler Manifolds

In order to generalise semi-invariant Riemannian maps, Sahin first introduced the idea of “Generic Riemannian maps”. We extend the idea of generic Riemannian maps to the case in which the total manifold is a nearly Kaehler manifold. We stud...

Mathematical modeling of the COVID-19 pandemic with intervention strategies

Mathematical modeling plays an important role to better understand the disease dynamics and designing strategies to manage quickly spreading infectious diseases in lack of an effective vaccine or specific antivirals. During this period, for...

A Novel Energy-Efficient Reception Method Based on Random Network Coding in Cooperative Wireless Sensor Networks

This paper presents an opportunistic reception (OR) algorithm for energy-efficient transmission in cooperative wireless sensor networks (WSNs), where the characteristics of random linear network coding and the energy consumption property of...

Numerical Modal Analysis of Vibrations in a Three-Phase Linear Switched Reluctance Actuator

This paper addresses the problem of vibrations produced by switched reluctance actuators, focusing on the linear configuration of this type of machines, aiming at its characterization regarding the structural vibrations. The complexity of t...

A compact model for the home healthcare routing and scheduling problem

Home healthcare has become more and more central in the last decades, due to the advantages it can bring to both healthcare institutions and patients. Planning activities in this context, however, presents significant challenges related to ...

The „Fingerprint” of the American Management in the Powerful Dynamics Concerning the Real G.D.P. from the United States of America

The victorious spirit, which predominates in all the provinces of the United States of America, penetrates the scale of values in rise concerning the real G.D.P. The symbiosis of the progresses witnessed by the American nation along of th...

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...

American Mathematical Monthly

This document is a printed form of MSC2020, an MSC revision produced jointly by the editorial staffs of Mathematical Reviews (MR) and Zentralblatt für Mathematik (zbMATH) in consultation with the mathematical community.The goals of this rev...