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  2. Volleyball offensive systems - Wikipedia

    en.wikipedia.org/wiki/Volleyball_Offensive_Systems

    A 5-1 takes its name from using 1 setter and having 5 attackers on the court. The secondary setter is replaced by an opposite hitter who is always opposite the setter on the court. This formation allows the setter to be able to dump the ball for half the rotations and have 3 front row attackers to set the ball to on the other three rotations.

  3. Rotation (mathematics) - Wikipedia

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

    Rotation of an object in two dimensions around a point O. Rotation in mathematics is a concept originating in geometry. Any rotation is a motion of a certain space that preserves at least one point. It can describe, for example, the motion of a rigid body around a fixed point.

  4. Rotation formalisms in three dimensions - Wikipedia

    en.wikipedia.org/wiki/Rotation_formalisms_in...

    Rotation formalisms are focused on proper (orientation-preserving) motions of the Euclidean space with one fixed point, that a rotation refers to.Although physical motions with a fixed point are an important case (such as ones described in the center-of-mass frame, or motions of a joint), this approach creates a knowledge about all motions.

  5. Rotation map - Wikipedia

    en.wikipedia.org/wiki/Rotation_map

    In mathematics, a rotation map is a function that represents an undirected edge-labeled graph, where each vertex enumerates its outgoing neighbors.Rotation maps were first introduced by Reingold, Vadhan and Wigderson (“Entropy waves, the zig-zag graph product, and new constant-degree expanders”, 2002) in order to conveniently define the zig-zag product and prove its properties.

  6. 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 .

  7. Active and passive transformation - Wikipedia

    en.wikipedia.org/wiki/Active_and_passive...

    A rotation of the vector through an angle θ in counterclockwise direction is given by the rotation matrix: = (⁡ ⁡ ⁡ ⁡), which can be viewed either as an active transformation or a passive transformation (where the above matrix will be inverted), as described below.

  8. Motion (geometry) - Wikipedia

    en.wikipedia.org/wiki/Motion_(geometry)

    In geometry, a motion is an isometry of a metric space. For instance, a plane equipped with the Euclidean distance metric is a metric space in which a mapping associating congruent figures is a motion. [1] More generally, the term motion is a synonym for surjective isometry in metric geometry, [2] including elliptic geometry and hyperbolic ...

  9. Euler's rotation theorem - Wikipedia

    en.wikipedia.org/wiki/Euler's_rotation_theorem

    A rotation represented by an Euler axis and angle. In geometry, Euler's rotation theorem states that, in three-dimensional space, any displacement of a rigid body such that a point on the rigid body remains fixed, is equivalent to a single rotation about some axis that runs through the fixed point. It also means that the composition of two ...