Academic Articles & Research Papers

A Mathematical Introduction to Robotic Manipulation

A Mathematical Introduction to Robotic Manipulation presents a mathematical formulation of the kinematics, dynamics, and control of robot manipulators. It uses an elegant set of mathematical tools that emphasizes the geometry of robot motio...

Microbial network inference for longitudinal microbiome studies with LUPINE

Abstract Background The microbiome is a complex ecosystem of interdependent taxa that has traditionally been studied through cross-sectional studies. However, longitudinal microbiome studies are becoming increasingly popular. These studies ...

What is mathematics, really?

Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolv...

The Sociology of Mathematics Education: Mathematical Myths / Pedagogic Texts

Until the 1960s, maths was studied as an academic subject in a desire to have more mathematicians. The current trend, however, has moved away from viewing maths as a purely intellectual endeavour and towards developing a more mathematically...

Determinação do Perfil Ótimo de Alimentação de Substrato no Processo de Fermentação Alcoólica - Influência da Condição Inicial

A otimização dinâmica do processo de fermentação batelada alimentada, através do controle da vazão de alimentação de substrato, caracteriza um problema de controle singular de difícil solução devido à flutuação do índice diferencial e da...

Factors Affecting Difficulties in Learning Mathematics by Mathematics Learners

This article explores the adversities faced by public school students in learning mathematics in their leaning context. The main purpose of this study was to explore the causes of learning difficulties in mathematics. The design of the stud...

Numerical mathematics and computing

Authors Ward Cheney and David Kincaid show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. The text a...

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...

A History of Mathematics: An Introduction

Part I. Ancient Mathematics 1. Egypt and Mesopotamia 1.1 Egypt 1.2 Mesopotamia 2. The Beginnings of Mathematics in Greece 2.1 The Earliest Greek Mathematics 2.2 The Time of Plato 2.3 Aristotle 3. Euclid 3.1 Introduction to the Elements 3.2 ...

Methods of Mathematical Physics

This well-known text and reference contains an account of those parts of mathematics that are most frequently needed in physics. As a working rule, it includes methods which have applications in at least two branches of physics. The authors...

Mathematical Models in Biology

Life scientists are not always fully aware of the powerful role that mathematical models have in both answering biological research questions and in making predictions. Scientists have a clear view of the problem; they know the questions; 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 Mathematics of Infectious Diseases

Abstract. Many models for the spread of infectious diseases in populations have been analyzed mathematically and applied to specific diseases. Threshold theorems involving the basic reproduction number [Formula: see text], the contact numbe...

Refining the Galerkin method error estimation for parabolic type problem with a boundary condition

The article considers a parabolic-type boundary value problem with a divergent principal part, when the boundary condition contains the time derivative of the required function: { ut−d/dxiai(x,t,u,∇u)+a(x,t,u,∇u)=0,a0ut+ai(x,t,u,∇u)cos(v,...

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...

Mathematical Control Theory

Mathematical Models in Epidemiology

An Introduction to Mathematical Epidemiology

Carrier-independent deep optical watermarking algorithm

With the development of multimedia techniques, the demand for copyright protection of digital products has also gradually risen.Digital watermarking is an effective means to protect the copyright of digital products.It is generally made by ...

Mathematics in the streets and in schools

An analysis of everyday use of mathematics by working youngsters in commercial transactions in Recife, Brazil, revealed computational strategies different from those taught in schools. Performance on mathematical problems embedded in real‐l...