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  2. Thrall (Warcraft) - Wikipedia

    en.wikipedia.org/wiki/Thrall_(Warcraft)

    Thrall, born as Go'el, is a fictional character who appears in the Warcraft series of video games by Blizzard Entertainment.Within the series, Thrall is an orc shaman who served for a time as a Warchief of the Horde, one of the major factions of the Warcraft universe, as well as the leader of a shaman faction dedicated to preserving the balance between elemental forces in the world of Azeroth ...

  3. Rotation matrix - Wikipedia

    en.wikipedia.org/wiki/Rotation_matrix

    A basic 3D rotation (also called elemental rotation) is a rotation about one of the axes of a coordinate system. The following three basic rotation matrices rotate vectors by an angle θ about the x-, y-, or z-axis, in three dimensions, using the right-hand rule—which codifies their alternating signs.

  4. Quaternions and spatial rotation - Wikipedia

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

    A rotation can be represented by a unit-length quaternion q = (w, r →) with scalar (real) part w and vector (imaginary) part r →. The rotation can be applied to a 3D vector v → via the formula = + (+). This requires only 15 multiplications and 15 additions to evaluate (or 18 multiplications and 12 additions if the factor of 2 is done via ...

  5. Euler angles - Wikipedia

    en.wikipedia.org/wiki/Euler_angles

    Equivalently, any rotation matrix R can be decomposed as a product of three elemental rotation matrices. For instance: R = X ( α ) Y ( β ) Z ( γ ) {\displaystyle R=X(\alpha )Y(\beta )Z(\gamma )} is a rotation matrix that may be used to represent a composition of extrinsic rotations about axes z , y , x , (in that order), or a composition of ...

  6. Heisman Trophy history: Full list of winners for college ...

    www.aol.com/heisman-trophy-history-full-list...

    The 2024 Heisman Trophy ceremony is Saturday. Here is a list of past winners for the coveted college football award.

  7. 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 ...

  8. Kabsch algorithm - Wikipedia

    en.wikipedia.org/wiki/Kabsch_algorithm

    The Kabsch algorithm, also known as the Kabsch-Umeyama algorithm, [1] named after Wolfgang Kabsch and Shinji Umeyama, is a method for calculating the optimal rotation matrix that minimizes the RMSD (root mean squared deviation) between two paired sets of points.

  9. Character class - Wikipedia

    en.wikipedia.org/wiki/Character_class

    In tabletop games and video games, a character class is an occupation, profession, or role assigned to a game character to highlight and differentiate their capabilities and specializations.