Abstract: This paper is to design substitution boxes (S-Boxes) using innovative I-Ching operators (ICOs) that have evolved from ancient Chinese I-Ching philosophy. These three operators-intrication, ...

I’m a sr software engineer specialized in Clean Code, Design and TDD Book "Clean Code Cookbook" 500+ articles written Identify global variables used across your codebase. Create a real-world ...

Point process provides a mathematical framework for characterizing neuronal spiking activities. Classical point process methods often focus on the conditional intensity function, which describes the ...

Of all the endless questions children and mathematicians have asked about infinity, one of the biggest has to do with its size. Whether it’s on the playground or at bedtime, children encounter the ...

Abstract: A sensor array collects spatial samples of propagating wave fields, and a beamformer performs spatial filtering to preserve the desired signal while suppressing interfering signals and noise ...

In Arduino applications often the 'raw' value of a sensor is mapped upon a more usable value. E.g. the value of analogRead() 0 .. 1023 is mapped onto 0 .. 5.0 Volt. This is often done by the map() ...

Joyal’s proof was published here: André Joyal, Une théorie combinatoire des séries formelles. Advances in Mathematics 42 (1981), 1–82. (I try not to link to Elsevier, as I’m permanently furious with ...

A collection of general utility and mathematical objects and functions for GameMaker Studio 2 (Version 2.3). These mostly consist of utilities that I have found useful during my own game development, ...

In the early 1980s, it was discovered that alternating sign matrices (ASMs), which are also commonly encountered in statistical mechanics, are counted by the same numbers as two classes of plane ...

Last time, I described the Legendre-Fenchel transform. For a real vector space V V, the transform gives a bijection between the convex functions on V V and the convex functions on its dual V # V^{#}.