Why is it Euler's 'Totient' Function? - Mathematics Stack Exchange
Dec 13, 2018 · The function ϕ(n) ϕ (n) calculates the number of positive integers k ⩽ n , gcd(k, n) = 1 k ⩽ n , gcd (k, n) = 1. It was found by mathematician Leonhard Euler. In 1879, …
How to prove Euler's formula: $e^{it}=\\cos t +i\\sin t$?
Aug 28, 2010 · One cannot "prove" euler's identity because the identity itself is the DEFINITION of the complex exponential. So really proving euler's identity amounts to showing that it is the …
Proof of the formula for Euler's totient function
Feb 20, 2015 · I read on a forum somewhere that the totient function can be calculated by finding the product of one less than each of the number's prime factors. For example, to find …
Computing Euler angles between two 3D points from Cartesian …
You can find a nice simple formula for computing the rotation matrix from the two given vectors here. Then the two references you cited tell you how to obtain Euler angles from any given …
Euler Product formula for Riemann zeta function proof
Apr 15, 2016 · A formal proof based on the sieving method described in Proof of the Euler product formula for the Riemann zeta function is given below, along with a 'heuristic' proof - ie a non …
What is the geometric interpretation of Euler characteristic?
Aug 14, 2016 · For other geometric interpretations of the Euler characteristic, you can just take a look at the wikipedia article, which for instance mentions links with homological invariants of …
Extrinsic and intrinsic Euler angles to rotation matrix and back
Extrinsic and intrinsic Euler angles to rotation matrix and back Ask Question Asked 10 years, 1 month ago Modified 9 years ago
The interconnection between Hyperbolic functions and Euler's …
Jul 16, 2018 · There is one difference that arises in solving Euler's identity for standard trigonometric functions and hyperbolic trigonometric functions. The difference is that the …
ordinary differential equations - Respective advantages and ...
Mar 30, 2021 · Forwards Euler is the most simple method, just take the linear Taylor polynomial. As such it is often used for abstract theoretical contemplation and to derive reaction or …
Newest 'project-euler' Questions - Mathematics Stack Exchange
Project Euler is a series of challenging mathematical/computer programming problems. Please see the site and rules before posting.