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  2. 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.

  3. Shaman (Dungeons & Dragons supplement) - Wikipedia

    en.wikipedia.org/wiki/Shaman_(Dungeons_&_Dragons...

    Trenton Webb reviewed Shaman for Arcane magazine, rating it a 5 out of 10 overall. [1] According to Webb, the book "rewrites the earth magic AD&D rules. Out go the pilfered priests spells and mumbo jumbo of the Barbarian's and Humanoid's Handbooks, and in comes a batch of very different magic and brand-new mumbo jumbo."

  4. Character class (Dungeons & Dragons) - Wikipedia

    en.wikipedia.org/wiki/Character_class_(Dungeons...

    A character class is a fundamental part of the identity and nature of characters in the Dungeons & Dragons role-playing game.A character's capabilities, strengths, and weaknesses are largely defined by their class; choosing a class is one of the first steps a player takes to create a Dungeons & Dragons player character. [1]

  5. 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 ...

  6. Princes of the Apocalypse - Wikipedia

    en.wikipedia.org/wiki/Princes_of_the_Apocalypse

    A free corresponding player's guide, Elemental Evil Player's Companion, was released earlier as a PDF on March 10, 2015. [ 9 ] [ 10 ] The spells and the genasi race from the Elemental Evil Player’s Companion are reprinted in the adventure's appendices, though the goliath and aarakocra races and the deep gnome subrace for gnomes are not ...

  7. 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]

  8. Conversion between quaternions and Euler angles - Wikipedia

    en.wikipedia.org/wiki/Conversion_between...

    The angle rotation sequence is ψ, θ, φ. Note that in this case ψ > 90° and θ is a negative angle. Similarly for Euler angles, we use the Tait Bryan angles (in terms of flight dynamics): Heading – : rotation about the Z-axis; Pitch – : rotation about the new Y-axis

  9. Blade element momentum theory - Wikipedia

    en.wikipedia.org/wiki/Blade_Element_Momentum_Theory

    Betz (1921) provided an approximate correction to momentum "Rankine–Froude actuator-disk" theory [4] to account for the sudden rotation imparted to the flow by the actuator disk (NACA TN 83, "The Theory of the Screw Propeller" and NACA TM 491, "Propeller Problems"). In blade element momentum theory, angular momentum is included in the model ...