Topics form classical theory of conformal mapping

Psychometric Properties of the Brief Form of Professor-Students Rapport Scale-based on Classical Test Theory and Item-Response Theory

Introduction: In order to improve the quality of the teaching process, it is necessary to review the professor-student rapport. The purpose of the present study was to investigate the factor structure and item-response parameters of Professor-Students Rapport Scale-Brief (PSRS-B). Methods: In a descriptive-correlation study, 497 students from Shahid Beheshti University of Medical Sciences were ...

Optimization of Conformal Mapping Functions used in Developing Closed-Form Solutions for Underground Structures with Conventional cross Sections

Elastic solutions applicable to single underground openings usually suffer from geometry related simplification. Most tunnel shapes possess two axes of symmetry while a wide range of geometries used in tunneling practice involve only one symmetry axis. D-shape or horse-shoe shape tunnels and others with arched roof and floor are examples of the later category (one symmetry axis). In the present...

Classical Estimation Topics

1. First, assume a scalar unknown parameter θ (a) Min classical MSE estimator: ˆ θ(X) = arg minˆθ E X [(θ − ˆ θ(X)) 2 2 ] (b) Often the resulting estimator is not realizable, i.e. it depends on θ.

Conformal mapping of some non-harmonic functions in transport theory

Conformal mapping has been applied mostly to harmonic functions, i.e. solutions of Laplace’s equation. In this paper, it is noted that some other equations are also conformally invariant and thus equally well suited for conformal mapping in two dimensions. In physics, these include steady states of various nonlinear diffusion equations, the advection–diffusion equations for potential flows, and...

Conformal Mapping-Based Image Processing: Theory and Applications