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2. Conformal geometric algebra - Wikipedia

   en.wikipedia.org/wiki/Conformal_geometric_algebra

   This allows operations on the base space, including reflections, rotations and translations to be represented using versors of the geometric algebra; and it is found that points, lines, planes, circles and spheres gain particularly natural and computationally amenable representations.

3. 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 .

4. Translation of axes - Wikipedia

   en.wikipedia.org/wiki/Translation_of_axes

   In mathematics, a translation of axes in two dimensions is a mapping from an xy-Cartesian coordinate system to an x'y'-Cartesian coordinate system in which the x' axis is parallel to the x axis and k units away, and the y' axis is parallel to the y axis and h units away.

5. Six degrees of freedom - Wikipedia

   en.wikipedia.org/wiki/Six_degrees_of_freedom

   The Razer Hydra, a motion controller for PC, tracks position and rotation of two wired nunchucks, providing six degrees of freedom on each hand. The SpaceOrb 360 is a 6DOF computer input device released in 1996 originally manufactured and sold by the SpaceTec IMC company (first bought by Labtec , which itself was later bought by Logitech ).

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   mail.aol.com

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7. Translation (geometry) - Wikipedia

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

   In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure, shape or space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system. In a Euclidean space, any translation is ...

8. Clyburn brushes off Musk's plan to fund moderates in ... - AOL

   www.aol.com/news/clyburn-brushes-off-musks-plan...

   Rep. Jim Clyburn dismissed Elon Musk's statement that he planned to fund moderates in key Democratic races on social media, arguing that Democrats weren't afraid of Musk's money.

9. Geometric algebra - Wikipedia

   en.wikipedia.org/wiki/Geometric_algebra

   The rotors in a space of dimension + have () / + degrees of freedom, the same as the number of degrees of freedom in the rotations and translations combined for an ⁠ ⁠-dimensional space. This is the case in Projective Geometric Algebra (PGA), which is used [ 33 ] [ 34 ] [ 35 ] to represent Euclidean isometries in Euclidean geometry (thereby ...