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prvctoday at 5:19 AM3 repliesview on HN

This is neat, but could someone explain the significance or practical (or even theoretical) utility of it?


Replies

WilcoKruijertoday at 10:03 AM

From the paper:

> Everyone learns many mathematical operations in school: fractions, roots, logarithms, and trigonometric functions (+, −, ×, /, sqrt, sin, cos, log, …), each with its own rules and a dedicated button on a scientific calculator. Higher mathematics reveals that many of these are redundant: for example, trigonometric ones reduce to the complex exponential. How far can this reduction go? We show that it goes all the way: a single operation, eml(x, y), replaces every one of them. A calculator with just two buttons, EML and the digit 1, can compute everything a full scientific calculator does. This is not a mere mathematical trick. Because one repeatable element suffices, mathematical expressions become uniform circuits, much like electronics built from identical transistors, opening new ways to encoding, evaluating, and discovering formulas across scientific computing.

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geocartoday at 6:33 AM

Read the paper. On the third page is a "Significance statement".

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bluegattytoday at 6:11 AM

second, please help us laypeople here