Academic Articles & Research Papers

Mathematics, Statistics, and Teaching

How does statistical thinking differ from mathematical thinking? What is the role of mathematics in statistics? If you purge statistics of its mathematical content, what intellectual substance remains?In what follows, we offer some answers ...

The indispensability of mathematics

Looks at the Quine–Putnam indispensability argument in the philosophy of mathematics. This argument urges us to place mathematical entities on the same ontological footing as other theoretical entities indispensable to our best scientific t...

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...

Mathematics anxiety and mathematics achievement

With an Eye on the Mathematical Horizon: Dilemmas of Teaching Elementary School Mathematics

Ideas like "understanding," "authenticity," and "community" are central in current debates about curriculum, instruction, and assessment. Many believe that teaching and learning would be improved if classrooms were organized to engage stude...

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...

Mathematical Ideas in Biology

This is a lucid introduction to some of the mathematical ideas which are useful to biologists. Professor Maynard Smith introduces the reader to the ways in which biological problems can be expressed mathematically, and shows how the mathema...

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 ...

On practical ℎ-observer design for nonlinear non-autonomous dynamical systems with disturbances

In this paper, a particular form of practical ℎ-observers for piecewise continuous Lipschitz, one-sided piecewise continuous Lipschitz systems and quasi-one-sided piecewise continuous Lipschitz systems is extended to nonlinear non-autonomou...

A local meshless method for the one-dimensional Fisher’s equation

This study presents a novel local meshless approach for solving one-dimensional Fisher’s equation, combining a local scheme, Gaussian radial basis functions (G-RBF), and a collocation technique. The method leverages the Gaussian basis’s non...

A Novel MRAC Scheme for Output Tracking

This paper puts forward a novel output feedback model reference adaptive control (MRAC) scheme for solving an adaptive output tracking problem. The proposed control scheme only needs a scalar function to be updated online, which decreases t...

Self-Organized Criticality of Rainfall in Central China

Rainfall is a complexity dynamics process. In this paper, our objective is to find the evidence of self-organized criticality (SOC) for rain datasets in China by employing the theory and method of SOC. For this reason, we analyzed the long-...

Convergence rate of principal component analysis with local-linear smoother for functional data under a unified weighing scheme

The unified weighing scheme for the local-linear smoother in analysing functional data can deal with data that are dense, sparse or of neither type. In this paper, we focus on the convergence rate of functional principal component analysis ...

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...

Retracted: A Novel Multicriteria Decision-Making Approach for Einstein Weighted Average Operator under Pythagorean Fuzzy Hypersoft Environment

Advancing Children's Mathematical Thinking in Everyday Mathematics Classrooms

Judith L. Fraivillig, Lauren A. Murphy, Karen C. Fuson, Advancing Children's Mathematical Thinking in Everyday Mathematics Classrooms, Journal for Research in Mathematics Education, Vol. 30, No. 2 (Mar., 1999), pp. 148-170...

Mathematics-for-Teaching: an Ongoing Investigation of the Mathematics that Teachers (Need to) Know

Introduction to Mathematical Statistics.

1. Probability and Distributions. 2. Multivariate Distributions. 3. Some Special Distributions. 4. Some Elementary Statistical Inferences 5. Consistency and Limiting Distributions 6. Maximum Likelihood Methods. 7. Sufficiency. 8. Optimal Te...