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  2. Rotation matrix - Wikipedia

    en.wikipedia.org/wiki/Rotation_matrix

    for 90°, 180°, and 270° counter-clockwise rotations. A 180° rotation ... We are guaranteed that the characteristic polynomial will have degree n and thus n ...

  3. Rotation of axes in two dimensions - Wikipedia

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

    In the new coordinate system, the point P will appear to have been rotated in the opposite direction, that is, clockwise through the angle . A rotation of axes in more than two dimensions is defined similarly. [2] [3] A rotation of axes is a linear map [4] [5] and a rigid transformation.

  4. Clockwise - Wikipedia

    en.wikipedia.org/wiki/Clockwise

    Clockwise motion (abbreviated CW) proceeds in the same direction as a clock's hands relative to the observer: from the top to the right, then down and then to the left, and back up to the top. The opposite sense of rotation or revolution is (in Commonwealth English ) anticlockwise ( ACW ) or (in North American English ) counterclockwise ( CCW ...

  5. Optical rotation - Wikipedia

    en.wikipedia.org/wiki/Optical_rotation

    In case of optically active isotropic media, the rotation is the same for any direction of wave propagation. In contrast, the Faraday effect is non-reciprocal, i.e. opposite directions of wave propagation through a Faraday medium will result in clockwise and anti-clockwise polarization rotation from the point of view of an observer.

  6. Mnemonics in trigonometry - Wikipedia

    en.wikipedia.org/wiki/Mnemonics_in_trigonometry

    Going either clockwise or counter-clockwise, the starting vertex equals the next vertex divided by the vertex after that. ... (angles from 0 to 90 degrees, or 0 to π ...

  7. Motions in the time-frequency distribution - Wikipedia

    en.wikipedia.org/wiki/Motions_in_the_time...

    6.1 Clockwise rotation by 90 degrees. 6.2 Counterclockwise rotation by 90 degrees. 6.3 Rotation by 180 degrees. 7 Rotation: Fractional Fourier Transform (FRFTs)

  8. Dihedral group of order 8 - Wikipedia

    en.wikipedia.org/wiki/Dihedral_group_of_order_8

    a is the clockwise rotation and b the horizontal reflection. Cayley graph of Dih 4 A different Cayley graph of Dih 4, generated by the horizontal reflection b and a diagonal reflection c. In mathematics, D 4 (sometimes alternatively denoted by D 8) is the dihedral group of degree 4 and order 8. It is the symmetry group of a square. [1] [2]

  9. Retrograde and prograde motion - Wikipedia

    en.wikipedia.org/wiki/Retrograde_and_prograde_motion

    An object with an axial tilt up to 90 degrees is rotating in the same direction as its primary. An object with an axial tilt of exactly 90 degrees, has a perpendicular rotation that is neither prograde nor retrograde. An object with an axial tilt between 90 degrees and 180 degrees is rotating in the opposite direction to its orbital direction.