Mathematical techniques in extended surface analysis

Mathematical Techniques for Neuromuscular Analysis

In the central nervous system, alpha-motor neurons play a key role in the chain that results in muscles producing force. A new non-invasive technique to measure the electrical activity involved with force production called High Density Surface Electromyography (HDsEMG) has been proven to be effective in providing novel clinical information on the way alpha-motor neurons control the muscles. Thi...

Mathematical Techniques in Quantum Mechanics

An extended mathematical programming framework

Extended mathematical programs are collections of functions and variables joined together using specific optimization and complementarity primitives. This paper outlines a mechanism to describe such an extended mathematical program by means of annotating the existing relationships within a model to facilitate higher level structure identification. The structures, which often involve constraints...

2 Surface Roughness Analysis and Measurement Techniques

2.1 The Nature of Surfaces 2.2 Analysis of Surface Roughness Average Roughness Parameters • Statistical Analyses • Fractal Characterization • Practical Considerations in Measurement of Roughness Parameters 2.3 Measurement of Surface Roughness Mechanical Stylus Method • Optical Methods • Scanning Probe Microscopy (SPM) Methods • Fluid Methods • Electrical Method • Electron Microscopy Methods • A...

Mathematical Optimization Techniques

From the beginning the ROXIE program was structured such that mathematical optimization techniques can be applied to the design of the superconducting magnets. With the concept of features it is possible to create the complex coil assemblies in 2 and 3 dimensions with only a small number of engineering data which can then be addressed as design variables of the optimization problem. In this cha...