Riemann Zeta function visualization for s=1/2. From imaginary zero to 100.

preview_player
Показать описание
I used the averaging method of Isaac Mor to find the (Cesaro-like?) limit of the Zeta function at Re(s)=1/2; the critical strip. The colors go from red (the actual values of the RZ function), via blue (averages of all red points), to green (averages of all blue points). You can see the 'dance' around zero, but also notice the fact that a single run of the Zeta function really consists of two parts: a spiral (whose centerpoint is the value of the Zeta function), and an 'arm', that moves to the center of the spiral from 1.
  1. Kees-Jan Hermans
Рекомендации по теме
But what is 0:22:11

But what is the Riemann zeta function? Visualizing analytic continuation

[Visual] The Riemann 0:08:41

[Visual] The Riemann Zeta Function Visualised

Riemann Zeta Function 0:00:14

Riemann Zeta Function Animation

The Riemann Hypothesis, 0:16:24

The Riemann Hypothesis, Explained

The 4765th Loop 0:01:01

The 4765th Loop of the Riemann Zeta Function Is Itty Bitty

Riemann Zeta function 0:01:41

Riemann Zeta function visualization for s=1/2. From imaginary zero to 100.

What is the 0:28:33

What is the Riemann Hypothesis REALLY about?

Riemann Hypothesis and 0:04:37

Riemann Hypothesis and zeta function interesting visualization on x-axis #SoME3

The Riemann Hypothesis 0:29:57

The Riemann Hypothesis

Riemann zeta function 0:00:47

Riemann zeta function

Grant Sanderson (3Blue1Brown): 0:06:05

Grant Sanderson (3Blue1Brown): Euler Product Formula and the Riemann Zeta-Function

The Key to 0:12:38

The Key to the Riemann Hypothesis - Numberphile

Why greatest Mathematicians 0:00:38

Why greatest Mathematicians are not trying to prove Riemann Hypothesis? || #short #terencetao #maths

Math is BROKEN: 0:00:59

Math is BROKEN: 1x2x3x...= √2π

Riemann Hypothesis visualised 0:01:07

Riemann Hypothesis visualised

The Riemann Hypothesis 0:17:43

The Riemann Hypothesis - Picturing The Zeta Function

Riemann zeta function, 0:00:37

Riemann zeta function, real and imaginary graphs with non-trivial zeros

Exploring the Riemann 0:14:43

Exploring the Riemann Zeta Function and the Riemann Hypothesis

Euler’s Pi Prime 0:15:23

Euler’s Pi Prime Product and Riemann’s Zeta Function

Nontrivial Zeros of 0:01:00

Nontrivial Zeros of Riemann Zeta Function

The Pattern to 0:16:27

The Pattern to Prime Numbers?

Analytic Continuation and 0:49:34

Analytic Continuation and the Zeta Function

Riemann Zeta function 0:00:16

Riemann Zeta function explained

Riemann zeta function 0:01:24

Riemann zeta function critical strip visualization

Комментарии
Автор

Wiskunde is leuk zolang je er iets van begrijpt, van deze complexe grafiek begrijp ik bijvoorbeeld niets maar ik vind het toch leuk om te weten dat er meer is in de wiskunde dan natuurlijke en reële getallen enzo; Deze complexe getallen en functies zijn zo interessant en mooi maar de waarde van deze informatie lijkt evenveel waard als te weten dat er 100 licht-jaren verder een planeet is die identiek lijkt op moeder Aarde. Het is er wel; Maar het kan zo weinig mensen iets schelen dat het bestaat.

ANGUSnd