Mathematical minimalism
by John from John D. Cook on (#74XDT)
Andrzej Odrzywolek recently posted an article on arXiv showing that you can obtain all the elementary functions from just the function
and the constant 1. The following equations, taken from the paper's supplement, show how to bootstrap addition, subtraction, multiplication, and division from the eml function.
See the paper and supplement for how to obtain constants like and functions like square and square root, as well as the standard circular and hyperbolic functions.
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