In this case however, there is a corresponding theorem for digraphs which says that a digraph (possibly with multiple edges and loops) has an Eulerian circuit if and only if every vertex has …

Extrinsic and intrinsic Euler angles to rotation matrix and back Ask Question Asked 10 years, 6 months ago Modified 9 years, 4 months ago

From wiki, I know that Euler angles are used to represent the rotation from three axes independently, which seems like pitch, roll and yaw. But from this wiki, it seems that they are …

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 …

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 …

Another option is a backward Euler approximation ($\dot {x} (kT_s)\approx\frac {1} {T_s} (x_k-x_ {k-1})$). The problem is that these discretizations do not necessarily preserve stability.

-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 …

While I never looked up Euler's proof of the last identity, I'd like to remark that it is an easy exercise about Taylor expansions.

True but Eulerian graphs are defined as having an Euler circuit not a Euler path.

How to convert spherical coordinate system to Euler angles? Ask Question Asked 12 years, 9 months ago Modified 3 years, 1 month ago