On the General Shape of Scales on Slide Rules
Istvan Szalkai
TL;DR
This paper provides a comprehensive analysis of the properties of various slide rule scales based on different mathematical functions, aiding future scale design and understanding historical scales.
Contribution
It offers a detailed explanation of the general properties of scales derived from all possible mathematical functions, including numerous examples.
Findings
Analysis of properties of scales from various functions
Guidelines for designing custom slide rule scales
Enhanced understanding of historical and modern scales
Abstract
We give a thoroughful explanation of the general properties of different, general scales, corresponding to different (all possible) mathematical functions f(x), we mention and analyse many examples. These observations and statements might help us to plan and realize any specific scale we need in the future, or to understand better any interesting or miserable properties of old scales.
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Taxonomy
TopicsStatistical and numerical algorithms · Numerical Methods and Algorithms · Polynomial and algebraic computation