The pursuit of differentiability in functions is a cornerstone of calculus, demanding a delicate balance of smoothness and continuity. When tasked with finding specific parameters that ensure a ...

If a piecewise constant function is integrated, the result is okay, if 2 integrals are nested, that's okay too, but 3 times the result is 'nan' which it shouldn't be: from sympy import * a1, a2, a3 = ...

Abstract: Neural networks (NNs) are commonly used to approximate functions based on data samples, as they are a universal function approximator for a large class of ...

Haupt is a health and wellness editor at TIME. Function Health CEO Jonathan Swerdlin Many people have low-level risk factors, such as early signs of heart disease, smoldering inside their body. But ...

Specifying piecewise functions in GETTSIM is complex and its easy to make mistakes that don't throw errors. We should have a good documentation for that. Wrong intercept. This leads to jumps in the ...

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 ...

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.

As a person with a chronic illness, I'm no stranger to bloodwork. I used to pore over my lab results, googling the various meanings, and trying not to panic when a test fell out of range. Function ...

Former Treasury Secretary Larry Summers steps down from public commitments after Epstein emails F-35 defenders launch counterattack against Swedish fighter jet proposal “Efficient justice or a ...