Aire, and ye Elements the eldest birth Of Natures Womb, that in quaternion
run Perpetual Circle, multiform; and mix And nourish all things, let your ceasless change Varie to our great Maker still new praise.
Thus, we have a unit quaternion
group PSL(2,C) (equivalently, an SU(2) matrix or spinor) representation of the Lorentz transformation.
This collection of 26 articles includes those from peer-reviewed journals that give background to such questions as the nature of Tifft redshift and generalized Schrodinger equations; Weyle geometry, extended relativity, supersymmetry and their applications in astrophysics; the phion condensate, including five articles authored or co-authored by Christianto; Cartan-Weyl space time, torsion fields and Navier-Stokes; and the hypergeometrical universe, pioneer anomalies and quaternion
The newest release continues to advance character animation techniques and motion capture tools in ways never thought possible with the addition of a constraint-based animation mixer, an animation analyzer and fixer and Quaternion
space and its respective Quaternion
Relativity (it also may be called as Rotational Relativity has been defined in a number of papers including , and it can be shown that this new theory is capable to describe relativistic motion in elegant and straightforward way.
character studio 4 -- The upcoming extension package for Discreet 3ds max software contains significant new features including nonlinear animation mixer, industry-first Quaternion
function curves, and an animation analyzer and fixer that identifies the finer aspects of an animation for correction.
We can note here, for instance, that Yang-Mills field somehow can appear more or less quite naturally if one uses quaternion
or hypercomplex numbers as basis.
In this paper we write the Maxwell equations in quaternion
including the Lorentz force and the continuity equation.
We have recently shown that quaternion
equation (Arbab and Satti, 2009 )
New character animation features include easy FK/IK switching, switchable Euler and Quaternion
rotations, motion trails and ghosting along with a powerful new Jiggle Deformer which automatically creates secondary "character fat/muscle wobble" animation without dynamics.
In the light of another paper suggesting that Maxwell equations can be written using quaternion
numbers, then we discuss a plausible extension of Proca equation using biquaternion number.
3] are quaternion
imaginary units obeying (with ordinary quaternion