Intuitive explanation of Euler's formula $e^{it}=\\cos(t)+i\\sin(t)$
Related (duplicate?): Simple proof of Euler Identity $\exp i\theta = \cos\theta+i\sin\theta$. Also, this possible duplicate has this answer, with a nice visual demonstration of the result. There are more …
Why is it Euler's 'Totient' Function? - Mathematics Stack Exchange
Dec 13, 2018 · It was found by mathematician Leonhard Euler. In 1879, mathematician J.J.Sylvester coined the term 'totient' function. What is the meaning of the word 'totient' in the context? Why was …
How to prove Euler's formula: $e^{it}=\\cos t +i\\sin t$?
Aug 28, 2010 · Euler's formula is quite a fundamental result, and we never know where it could have been used. I don't expect one to know the proof of every dependent theorem of a given result.
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, 6 months ago Modified 9 years, 5 months ago
Convert direction vector to euler angles - Mathematics Stack Exchange
Apr 30, 2016 · Euler angles would traditionally be used to determine the rotations needed to establish the orientation of a three axis local coordinate system. For a single vector, the initial or un-rotated …
The interconnection between Hyperbolic functions and Euler's Formula
Jul 16, 2018 · 0 There is one difference that arises in solving Euler's identity for standard trigonometric functions and hyperbolic trigonometric functions. The difference is that the imaginary component …
rotations - Are Euler angles the same as pitch, roll and yaw ...
The $3$ Euler angles (usually denoted by $\alpha, \beta$ and $\gamma$) are often used to represent the current orientation of an aircraft. Starting from the "parked on the ground with nose pointed …
Simple Proof of the Euler Identity $\\exp{i\\theta}=\\cos{\\theta}+i ...
Jun 25, 2016 · 3. How Euler Did It This is just a paraphrasing of some of How Euler Did It by Ed Sandifer - in particular, the parts where he paraphrases from Euler's Introductio. Note that Euler's work was in …
geometry - Why doesn't the Euler's polyhedral formula work ...
Oct 10, 2017 · Euler's formula also holds for several classes of non-convex polyhedra, like star-convex polyhedra, for example. "Convexity" as an assumption is to a certain extend accidental, as is …
How to interpret the Euler class? - Mathematics Stack Exchange
Well, the Euler class exists as an obstruction, as with most of these cohomology classes. It measures "how twisted" the vector bundle is, which is detected by a failure to be able to coherently choose …