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  2. Rotation matrix - Wikipedia

    en.wikipedia.org/wiki/Rotation_matrix

    A 180° rotation (middle) followed by a positive 90° rotation (left) is equivalent to a single negative 90° (positive 270°) rotation (right). Each of these figures depicts the result of a rotation relative to an upright starting position (bottom left) and includes the matrix representation of the permutation applied by the rotation (center ...

  3. Spherical coordinate system - Wikipedia

    en.wikipedia.org/wiki/Spherical_coordinate_system

    Elevation is 90 degrees (= ⁠ π / 2 ⁠ radians) minus inclination. Thus, if the inclination is 60 degrees (= ⁠ π / 3 ⁠ radians), then the elevation is 30 degrees (= ⁠ π / 6 ⁠ radians). In linear algebra, the vector from the origin O to the point P is often called the position vector of P.

  4. Angular displacement - Wikipedia

    en.wikipedia.org/wiki/Angular_displacement

    The angular displacement (symbol θ, ϑ, or φ) – also called angle of rotation, rotational displacement, or rotary displacement – of a physical body is the angle (in units of radians, degrees, turns, etc.) through which the body rotates (revolves or spins) around a centre or axis of rotation.

  5. Lower-limb walking pattern - Wikipedia

    en.wikipedia.org/wiki/Lower-limb_walking_pattern

    Between 30-50% of the gait cycle, the hip flexor muscles are eccentrically acting as the hip continues to extend, until reaching maximal extension at approximately 10-15 degrees past neutral. [3] This max extension takes place right before toe off. The hip flexors then concentrically act to initiate hip flexion for swing phase. Overall ...

  6. The Thomas Test Can Clue You Into the Mobility of Your Hip ...

    www.aol.com/thomas-test-clue-mobility-hip...

    Just make sure to maintain a flat back and thigh and keep your lowered knee bent at a 90-degree angle. Hold that stretch for 30 seconds to a minute. Photo credit: Trevor Raab

  7. Small-angle approximation - Wikipedia

    en.wikipedia.org/wiki/Small-angle_approximation

    The sine and tangent small-angle approximations are used in relation to the double-slit experiment or a diffraction grating to develop simplified equations like the following, where y is the distance of a fringe from the center of maximum light intensity, m is the order of the fringe, D is the distance between the slits and projection screen ...

  8. Binary angular measurement - Wikipedia

    en.wikipedia.org/wiki/Binary_angular_measurement

    Multiplying that fraction by 360° or 2π gives the angle in degrees in the range 0 to 360, or in radians, in the range 0 to 2π, respectively. For example, with n = 8, the binary integers (00000000) 2 (fraction 0.00), (01000000) 2 (0.25), (10000000) 2 (0.50), and (11000000) 2 (0.75) represent the angular measures 0°, 90°, 180°, and 270 ...

  9. Deflection (engineering) - Wikipedia

    en.wikipedia.org/wiki/Deflection_(engineering)

    In this case, the equation governing the beam's deflection can be approximated as: = () where the second derivative of its deflected shape with respect to (being the horizontal position along the length of the beam) is interpreted as its curvature, is the Young's modulus, is the area moment of inertia of the cross-section, and is the internal ...