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 …

Simple proof Euler–Mascheroni $\gamma$ constant Ask Question Asked 11 years, 11 months ago Modified 11 months ago

Extrinsic and intrinsic Euler angles to rotation matrix and back Ask Question Asked 10 years, 6 months ago Modified 9 years, 5 months ago

This is not zero-order hold. It is forward Euler method.

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 …

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 …

-1 Integrating angular rates using Euler angles - Let F I be an inertial frame, and F B the body frame of an airplane. Then the F I frame can be transformed to the F B frame by a sequence …

The intersection of the two midplanes (a 3D line) gives the Euler axis direction. Construct a plane thru the origin orthogonal to the Euler axis. Project any of the "before-after" pairs onto direction …

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 …

I was reading about local and global truncation error, and, I must be honest, I'm not really getting the idea of the two and what's the difference. Lets focus on the forward Euler method in partic...