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  2. Rotation matrix - Wikipedia

    en.wikipedia.org/wiki/Rotation_matrix

    If we condense the skew entries into a vector, (x,y,z), then we produce a 90° rotation around the x-axis for (1, 0, 0), around the y-axis for (0, 1, 0), and around the z-axis for (0, 0, 1). The 180° rotations are just out of reach; for, in the limit as x → ∞ , ( x , 0, 0) does approach a 180° rotation around the x axis, and similarly for ...

  3. Rotation of axes in two dimensions - Wikipedia

    en.wikipedia.org/wiki/Rotation_of_axes_in_two...

    In mathematics, a rotation of axes in two dimensions is a mapping from an xy-Cartesian coordinate system to an x′y′-Cartesian coordinate system in which the origin is kept fixed and the x′ and y′ axes are obtained by rotating the x and y axes counterclockwise through an angle .

  4. Transformation matrix - Wikipedia

    en.wikipedia.org/wiki/Transformation_matrix

    For example, the counter-clockwise rotation matrix from above becomes: [⁡ ⁡ ⁡ ⁡] Using transformation matrices containing homogeneous coordinates, translations become linear, and thus can be seamlessly intermixed with all other types of transformations.

  5. Wikipedia:Reference desk/Archives/Mathematics/2010 September ...

    en.wikipedia.org/wiki/Wikipedia:Reference_desk/...

    Main page; Contents; Current events; Random article; About Wikipedia; Contact us; Donate

  6. Quaternions and spatial rotation - Wikipedia

    en.wikipedia.org/wiki/Quaternions_and_spatial...

    3D visualization of a sphere and a rotation about an Euler axis (^) by an angle of In 3-dimensional space, according to Euler's rotation theorem, any rotation or sequence of rotations of a rigid body or coordinate system about a fixed point is equivalent to a single rotation by a given angle about a fixed axis (called the Euler axis) that runs through the fixed point. [6]

  7. Can You Become Addicted to Viagra? What You Need to Know - AOL

    www.aol.com/lifestyle/become-addicted-viagra...

    In some cases, it may even result in a form of ED referred to as adult video-induced ED. If you find it difficult to get and maintain an arousal with your partner but you’re able to get hard ...

  8. Plane of rotation - Wikipedia

    en.wikipedia.org/wiki/Plane_of_rotation

    For this article, all planes are planes through the origin, that is they contain the zero vector. Such a plane in n-dimensional space is a two-dimensional linear subspace of the space. It is completely specified by any two non-zero and non-parallel vectors that lie in the plane, that is by any two vectors a and b, such that

  9. Michigan stuns No. 2 Ohio State 13-10 before a massive ... - AOL

    www.aol.com/sports/michigan-stuns-no-2-ohio...

    Ryan Day is still searching for a second win against Michigan. The Wolverines stunned No. 2 Ohio State 13-10 on Saturday to deal a crushing blow to the Buckeyes’ Big Ten title chances and hopes ...