#weierstrass

[isomorphismes]

Arguments in analysis are notorious for their profusion of ε’s. In sophisticated arguments, one ends up managing many ε₁₄, ε₈₂, ε₁₁₃, …. This art is not terribly difficult—it basically requires you to keep track of which quantities are “small”, “very small”, “very very small”, and so on … but these arguments are lengthy, tedious, and unpleasant to read.

Terence Tao

[antsacco]

(via Almanacco: scrittrici nate il 15 gennaio)

[numb3rth30ry]

Weierstrass functions.

Quoting Wikipedia, “In mathematics, the Weierstrass functions are special functions of a complex variable that are auxiliary to the Weierstrass elliptic function. They are named for Karl Weierstrass. The relation between the sigma, zeta, and p-functions is analogous to that between the sine, cotangent, and squared cosecant functions: the logarithmic derivative of the sine is the cotangent, whose derivative is negative the squared cosecant.”

The stunning colors come from domain coloring.

Mathematics is beautiful. <3

[wolframalpha]

From function to fractal, Weierstrass showcases short Wolfram Language code: https://wolfr.am/gCB8JxNv

[shitmeandmyroommatesay]

Roommate: I hate techniques of integration. Why do we need to know them? They are only useful before they invented computers.

Me: Well, I mean...you are not going to have a computer when you write your exam, right? So they are kind of useful...

[curiosamathematica]

[cutnpasteshop]

It is true that a mathematician who is not somewhat of a poet, will never be a perfect mathematician. -Karl Weierstrass Science Art - 5 simple equations: Weierstrass quote on mathematical beauty and Euler's identity vinyl wall decal by Cut'n'Paste

[oakapples]

Es ist wahr, ein Mathematiker, der nicht etwas Poet ist, wird nimmer ein vollkommener Mathematiker sein.

Karl Weierstrass (1815-1897)