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quaternion

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Quaternion - Wikipedia
In mathematics, the quaternion number system extends the complex numbers. Quaternions were first described by the Irish mathematician William Rowan Hamilton in ... en.wikipedia.org
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Can someone explain Quaternions? : r/GraphicsProgramming - Reddit
The main thing quaternions are doing is that any rotation in3D can be represented bby a composition of 2 reflections. www.reddit.com
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Rigid Body Orientation Visualization (2nd Method: Quaternions)
Quaternions are an extension of imaginary number set, commonely refered to as a hyper-complex number. A quaternion can be thought of as a four element vector. ece.montana.edu
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quaternion
quaternion (kwəˈtɜːnɪən) [ad. late L. quaternio, -iōn-em, f. quaternī four together: cf. obs. F. quaternion (Godef.).] 1. a. A group or set of four persons or things; spec. a set of four poems.1382 Wyclif Acts xii. 4 Bitakinge [him] to foure quaternyouns of Knyȝtis..for to kepe him. [Tindale and lat... Oxford English Dictionary
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Scripting API: Quaternion - Unity - Manual
Quaternions are used to represent rotations. A quaternion is a four-tuple of real numbers {x,y,z,w}. A quaternion is a mathematically convenient alternative to ... docs.unity3d.com
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Quaternion -- from Wolfram MathWorld
The quaternions are members of a noncommutative division algebra first invented by William Rowan Hamilton. mathworld.wolfram.com
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(Yet another) Introduction to quaternions | lisyarus blog
Quaternions are an algebraic object, after all. I'll try to derive all formulas except for a couple that are exceptionally long and boring. lisyarus.github.io
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Quaternions and 3d rotation, explained interactively - YouTube
Your videos on quaternions helped me understand them enough to discover the mathematics mistakes and derive the correct formulae. www.youtube.com
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Create quaternion array - MATLAB - MathWorks
A quaternion is a four-part hyper-complex number used in three-dimensional rotations and orientations. A quaternion number is represented in the form a + ... www.mathworks.com
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Unit Quaternion - an overview | ScienceDirect Topics
A unit quaternion is a quaternion with a magnitude of one, commonly used in computer science to represent orientations and rotations. www.sciencedirect.com
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Quaternion (poetry)
Quaternion is a poetry style in which the theme is divided into four parts. References External links Quaternion examples Poetic forms wikipedia.org
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quaternion product distributivity If you check the quaternion product derivation at wikipedia: < You can see that it is derived from a multiplication table between the quaternions 1,i,j,k. All books I have on the to...
The multiplication is defined, in fact, as the unique product which distributes along sums, behaves nicely with scalars and takes the correct values at the basic elements. That this _is_ actually such a multiplication is a simple result in linear algebra, similar to thaht which says that a linear ma...
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Quaternion (disambiguation)
Quaternion rotation Quaternion group, a non-abelian group of order 8 Symbols Imperial quaternions (heraldry of the Holy Roman Empire) Quaternion Quaternion (poetry), a style of poetry with four parts See also wikipedia.org
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The geometric interpretation of quaternion and Octanion Can anybody give me any useful link for the history of quaternion? The quaternion and Octanion are constructed but why other do not exist? What is the geometric ...
In the case of complex space we have two real perpendicular axex while in the case of Quaternion we have 2 complex axes and a quaternion is constructed
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Quaternion group - Wikipedia
In group theory, the quaternion group Q 8 (sometimes just denoted by Q) is a non-abelian group of order eight, isomorphic to the eight-element subset of the quaternions under multiplication. It is given by the group presentation. where e is the identity element and e commutes with the other elements of the group.
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