Parabolic Differential-Algebraic Models in Electrical Network Design

2005 ◽  
Vol 4 (3) ◽  
pp. 813-838 ◽  
Author(s):  
Giuseppe Alì ◽  
Andreas Bartel ◽  
Michael Günther
Keyword(s):  
Network Design ◽  
Electrical Network ◽  
Algebraic Models

A Logical Symbolism for Proof in Elementary Geometry

1953 ◽  
Vol 46 (4) ◽  
pp. 246-252
Author(s):  
Wallace Manheimer
Keyword(s):  
Network Design ◽  
Electrical Network ◽  
Symbolic Logic ◽  
Elementary Geometry ◽  
Full Time ◽  
Brain Physiology ◽  
Mathematical Thought ◽  
Geometric Diagram

The pupil who draws dashes through lines or angles in a geometric diagram to denote equality by hypothesis is taking advantage of an elementary logical symbolism. Ever since the days of Boole and Frege such symbolisms have become increasingly important in representing and furthering mathematical thought. Present day symbolic logic, which is an outgrowth of the methods of logical symbolism, has begun to revolutionize such diverse fields as the design of mathematical instruments, insurance analysis, brain physiology, and electrical network design. The study of symbolic logic at present occupies the full time research of at least two hundred creative mathematicians in our universities and industrial laboratories.

Predicting the Effect of Tire Tread Pattern Design on Thick Film Wet Traction

1977 ◽  
Vol 5 (1) ◽  
pp. 6-28 ◽  
Author(s):  
A. L. Browne
Keyword(s):  
Experimental Data ◽  
Network Design ◽  
Thick Film ◽  
Digital Computer ◽  
Analytical Tool ◽  
Design Practice ◽  
Pattern Design ◽  
Performance Results ◽  
Good Agreement

Abstract An analytical tool is presented for the prediction of the effects of changes in tread pattern design on thick film wet traction performance. Results are reported for studies in which the analysis, implemented on a digital computer, was used to determine the effect of different tread geometry features, among these being the number, width, and lateral spacing of longitudinal grooves and the angle of zigzags in longitudinal grooves, on thick film wet traction. These results are shown to be in good agreement with experimental data appearing in the literature and are used to formulate guidelines for tread groove network design practice.

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