A number of topics from continuum mechanics are presented that are useful in developing mathematical models of brain neuromechanics. Part I reviews basic concepts used to describe deformation or distortion of brain tissue, strains, stresses, their connection and material stiffness. Part II presents concepts from viscoelasticity used to describe the time dependent response of brain tissue such a...

The purpose of this paper is to give a description of a leisure time activity, in this case, an on-line fantasy baseball game, in terms of mathematical and game theory. Since the basis of computer science is mathematical theory, by thoroughly inspecting an Internet-based “fantasy” game, we can show the importance and advantages of using probability and statistical analysis as the foremost techn...

We give an overview of recent advances in analysis of equations of electrodynamics with the aid of biquaternionic technique. We discuss both models with constant and variable coefficients, integral representations of solutions, a numerical method based on biquaternionic fundamental solutions for solving standard electromagnetic scattering problems, relations between different operators of mathe...

The paper presents an overview of the image-processing techniques. The set of basic theoretical instruments includes methods of mathematical analysis, linear algebra, probability theory and mathematical statistics, theory of digital processing of one-dimensional and multidimensional signals, wavelet-transforms and theory of information. This paper describes a methodology that aims to detect and...

Mathematical critical thinking skills in mathematics learning is an ability that needs to be mastered by every student order support students the process. The purpose of this study was analyzing influence and interaction ARCS model motivation on students' mathematical skills. This research a quasi-experimental design using cluster random sampling as technique. data collection technique used ess...

In this paper we propose a 3D mathematical model for planning a corrective ostectomy on bones with angular deformities. Angular deformity is usually treated with a surgery procedure called Center of Rotation of Angulation (CORA) [3, 1, 4, 2, 5] which uses 2D radiographic images and without considering rotational deviation. Our proposal is based on a 3D computed tomographic imaging technique whi...

Mathematical competence can be evaluated by analyzing pauses between strokes that occurring whilst an individual copies equations. These pauses provide a temporal signal that reflects the cognitive effort to process chunks. ‘Centre-click’ interaction with a mouse and response grid on a computer display is introduced as new technique for measuring the temporal chunk signal. Alternative pause mea...

As a large part of most state budgets, public universities are tempting targets of budget cuts. Using the theory of diffusion of innovation, we build a mathematical framework that allows us to simulate the continuum effects of such budget cuts. This technique of mathematical modeling can provide insights into the mechanisms that affect the beneficial impact of the university. Such insights are ...

Supplementary section for Understanding Networked Applications: A First Course, Morgan Kaufmann, 1999. Copyright notice: Permission is granted to copy and distribute this material for educational purposes only, provided that this copyright notice remains attached. A tried-and-true technique in economics is to build a simple (or often sophisticated) mathematical model, and use it to gain insight...