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  2. Product of exponentials formula - Wikipedia

    en.wikipedia.org/wiki/Product_of_exponentials...

    While the latter method uses the minimal number of parameters to represent joint motions, the former method has a number of advantages: uniform treatment of prismatic and revolute joints, definition of only two reference frames, and an easy geometric interpretation from the use of screw axes for each joint. [1] The POE method was introduced by ...

  3. Path of Exile - Wikipedia

    en.wikipedia.org/wiki/Path_of_Exile

    Path of Exile (full release) 23 October 2013 In October 2013, Path of Exile officially launched leaving what had been Open Beta, the launch was an expansion that changed the shape of the game. Originally Open Beta version 0.10.0 in January 2013 marked the point where Path of Exile was opened to the public as a free-to-play game.

  4. Rotation formalisms in three dimensions - Wikipedia

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

    This is Rodrigues' formula for the axis of a composite rotation defined in terms of the axes of the two component rotations. He derived this formula in 1840 (see page 408). [ 3 ] The three rotation axes A , B , and C form a spherical triangle and the dihedral angles between the planes formed by the sides of this triangle are defined by the ...

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  6. Davenport chained rotations - Wikipedia

    en.wikipedia.org/wiki/Davenport_chained_rotations

    The X axis is now at angle α with respect to the x axis. The XYZ system rotates again about the x axis by β. The Z axis is now at angle β with respect to the z axis. The XYZ system rotates a third time about the z axis by γ. In sum, the three elemental rotations occur about z, x and z. Indeed, this sequence is often denoted z-x-z (or 3-1-3 ...

  7. Oriental Shorthair Cat's Bizarre Nightly Routine with ... - AOL

    www.aol.com/lifestyle/oriental-shorthair-cats...

    OMG--look at those long legs! I can see why the Oriental Shorthair's owner called them 'salad tongs.' They may be delicate and spindly, but Nacho's legs also help him prop himself up next to the ...

  8. Election 2024 recap: Who will control the House? Dozens of ...

    www.aol.com/election-2024-live-updates...

    Vice President-elect JD Vance has estimated Trump's actions could result in 1 million people being removed from the country each year, a pace the nonpartisan American Immigration Council estimated ...

  9. Poleaxe - Wikipedia

    en.wikipedia.org/wiki/Poleaxe

    Generally, the head bore an axe head or hammer head mounted on ash or other hard-wood shafts from 4–6 ft in length, with a spike, hammer, or fluke on the reverse. [4] In addition, there was a spike or spear head projecting from the end of the haft which was often square in cross section, sometimes referred to as the "dague dessous". [ 4 ]