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 …
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, 7 months ago Modified 9 years, 6 months ago
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 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 …
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 …
ordinary differential equations - What's the difference between ...
Sep 8, 2016 · Euler or Backward Euler are comletely improper in this kind of equations. On example of a simple harmonic oscilator, the Euler cause exponential grow of the amplitude and the Backward …
calculating Euler classes - Mathematics Stack Exchange
Feb 12, 2023 · I want to understand how to compute Euler classes, what are the canonical examples of vector bundles from which i can start, and are there any books or lectures which describe how to …
Euler's formula for connected planar graphs
Nov 28, 2010 · Then you should try to understand Euler's formula better first. (For one thing, there is a slight subtlety in the definition of f that you should be aware of.) Try playing around with examples …
Does Euler's formula give $e^ {-ix}=\cos (x) -i\sin (x)$?
Apr 13, 2018 · I like the fact that your answer does not depend on knowing that sine is an odd function. It appears that when using Euler to prove sine is odd one must make use of complex conjugates. …