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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 (middle) followed by a positive 90° rotation (left) is equivalent to a single negative 90° (positive 270°) rotation (right).

  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

    For example, the daily rotation of the Earth is clockwise when viewed from above the South Pole, and counterclockwise when viewed from above the North Pole (considering "above a point" to be defined as "farther away from the center of earth and on the same ray"). The shadow of a horizontal sundial in the Northern Hemisphere rotates clockwise

  5. Rotation (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Rotation_(mathematics)

    Rotation can have a sign (as in the sign of an angle): a clockwise rotation is a negative magnitude so a counterclockwise turn has a positive magnitude. A rotation is different from other types of motions: translations , which have no fixed points, and (hyperplane) reflections , each of them having an entire ( n − 1) -dimensional flat of ...

  6. Axis–angle representation - Wikipedia

    en.wikipedia.org/wiki/Axis–angle_representation

    The angle θ and axis unit vector e define a rotation, concisely represented by the rotation vector θe.. In mathematics, the axis–angle representation parameterizes a rotation in a three-dimensional Euclidean space by two quantities: a unit vector e indicating the direction of an axis of rotation, and an angle of rotation θ describing the magnitude and sense (e.g., clockwise) of the ...

  7. What are the swing state paths to 270 electoral votes for ...

    www.aol.com/swing-state-paths-270-electoral...

    As Election Day grows near, former President Donald Trump and Vice President Kamala Harris are still in a tight race to cross the 270 electoral college threshold based on recent polling. The two ...

  8. Turn (angle) - Wikipedia

    en.wikipedia.org/wiki/Turn_(angle)

    In the International System of Quantities (ISQ), rotation (symbol N) is a physical quantity defined as number of revolutions: [87] N is the number (not necessarily an integer) of revolutions, for example, of a rotating body about a given axis.

  9. See Trump and Harris' paths to 270 electoral votes — and ...

    www.aol.com/news/see-trump-harris-paths-270...

    And this expanded Democratic map gives Harris the possibility of getting to 270 electoral votes even if she loses in the Great Lakes states. Say Trump wins in both Michigan (15 electoral votes ...