Let's delve into the fascinating world of absolute value functions and how their graphs reveal key information about their behavior. Understanding these graphs allows us to quickly identify the ...

Abstract: Power functions play a fundamental role in mathematical analysis and applied sciences. Among them, the standard power function (SPF), and the absolute-value power function (AVPF), exhibit ...

According to Chris Olah (@ch402), recent AI models that attempt to replicate the absolute value function are not mechanistically faithful because they do not treat the input variable 'p' in the same ...

The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...

This repository provides a math extension module for analog computing applications. The module provides two absolute value functions, two square-root functions, and ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

A classic analog application is the full-wave precision rectifier (absolute value) function. Many variations exist on this theme, each with its own supposed (often rather minor and sometimes downright ...