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 …
number theory - Modular exponentiation using Euler’s theorem ...
If you are serious about "as simple as possible" then observe that $27^ {41} = 3^ {123}$ and use Carmichael's theorem (a strengthening of Euler's theorem which actually gives a tight bound) to …
State space discretization - Mathematics Stack Exchange
This is not zero-order hold. It is forward Euler method.
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
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 …
Simple proof Euler–Mascheroni $\\gamma$ constant
Simple proof Euler–Mascheroni $\gamma$ constant Ask Question Asked 11 years, 11 months ago Modified 11 months ago
Can Euler's identity be extended to quaternions?
4 Regarding the second question, the revised form of Euler's identity using $\tau$ conveys strictly less information than the original identity, and still suffers from an unnatural choice of square root of $-1$ …
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 …
Proof of Euler's Theorem without abstract algebra?
Euler gave essentially the group-theoretic proof in Chapter 7 of his Tractatus de numerorum doctrina, 1849 (according to Weil).
How to convert spherical coordinate system to Euler angles?
How to convert spherical coordinate system to Euler angles? Ask Question Asked 12 years, 10 months ago Modified 3 years, 2 months ago