Composition conventions are guidelines used by human composers in composing chess problems. They are particularly significant in composition tournaments. Examples include, not having any ‘check’ in the first move of the solution and not ‘dressing up’ the board with unnecessary pieces. Conventions are often associated or even directly conflated with the overall aesthetics or beauty of a composit...

Introduction The purpose of this study was to determine if online homework using MyMathLab (MML) would lead to an increase in academic performance compared with traditional paper-based, instructor-graded homework. Seventy-two students enrolled in a required college algebra course participated in this study. Results from this study indicate that there is not enough evidence to claim that the stu...

Over the last few years, researchers in computer graphics have developed sophisticated mathematical descriptions of lines on 3D shapes that can be rendered convincingly as strokes in drawings. These innovations highlight fundamental questions about how human perception takes strokes in drawings as evidence of 3D structure. Answering these questions will lead to a greater scientific understandin...

The focus of this work is in modeling the unique sound and the playing practices of the acoustic guitar. The results can be applied to other plucked string instruments too. A new extended notation package is used to produce expressive control information. This tool allows the user to add to the input score instrumental expressions and tempo functions. The system includes also a rule formalism t...

This paper presents a study of the influence of emotions on the behaviour of an intelligent pathfinding agent. A model of pathfinding is proposed that takes into account the emotional state of the agent. Results show that blindly following the most urgent emotion can lead to degenerate behaviour, and that cross-exclusion can be used to effectively moderate emotional influences. Applications of ...

We demonstrate recording and reconstruction of multiple-computer-generated wavelength-multiplexed volume holograms in a holographic storage medium. The holograms display high selectivity, and their reconstruction process results in a convenient conversion of wavelength into angular multiplexing.

Computer Generated Holography achieves patterned illumination at the sample plane through phase modulation of the laser beam at the objective back aperture. This is obtained by using liquid crystal-based spatial light modulators (LC-SLMs), which modulate the spatial phase of the incident laser beam. A variety of algorithms is employed to calculate the phase modulation masks addressed to the LC-...

This article presents mathematical tools for computer-generated ornamental patterns, with a particular attention payed to Islamic patterns. The article shows how, starting from a photo or a sketch of an ornamental figure, the designer analyzes its structure and produces the analytical representation of the pattern. This analytical representation in turn is used to produce a drawing which is int...

4 Analysis of array CGH profile 3 4.1 Segmentation algorithms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 4.2 The glad function . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 4.3 The daglad function . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 4.4 Tuning parameters . . . . . . . . . . . . . . . . . . . . . . ....