versor_versorgung

versor_versorgung

       接下来，我将通过一些实际案例和个人观点来回答大家对于versor的问题。现在，让我们开始探讨一下versor的话题。

1.汉译英 翻译

汉译英 翻译

       1897 is the 60th anniversary of the ruling of Queen Victoria. Celebrations can not help but recall people of all the past 60 years.

        For the kinematics of rotation in three dimensions, see quaternions and spatial rotation .

        Thus quaternions are a preferred method for representing spatial rotations see quaternions and spatial rotation .

        It is, in fact, already the subject of the article quaternions and spatial rotation .

        :: Quaternions are used to represent rotations in 3D and 4D space-see Quaternions and spatial rotation .

        The map from unit quaternions to rotations of 3D space described in quaternions and spatial rotation is also a universal cover.

       

        By way of contrast he notes that Fepx Klein appears not to look beyond the theory of Quaternions and spatial rotation .

        Hence a selective merge of say, just the definition, to Versor or Quaternions and spatial rotation is an obvious alternative to deletion.

        There's an article on quaternions and spatial rotation which may be helpful .-- talk ) 20 : 41, 6 March 2008 ( UTC)

        Very similar formulas can be found in the article on quaternions and spatial rotations , which covers this from a purely mathematical viewpoint but does not cover electromagi *** .

        There is a natural 2-to-1 homomorphi *** from the group of unit quaternions to the 3-dimensional rotation group described at quaternions and spatial rotations .

        It's difficult to see quaternions and spatial rotation in a sentence. 用 quaternions and spatial rotation 造句挺难的

        The diagram D 2 is o isolated nodes, the same as A 1 & cup; A 1, and this coincidence corresponds to the covering map homomorphi *** from SU ( 2 ) & times; SU ( 2 ) to SO ( 4 ) given by quaternion multippcation; see quaternions and spatial rotation .

        The binary icosahedral group is most easily described concretely as a discrete subgroup of the unit quaternions, under the isomorphi *** \ operatorname { Spin } ( 3 ) \ cong \ operatorname { Sp } ( 1 ) where Sp ( 1 ) is the multippcative group of unit quaternions . ( For a description of this homomorphi *** see the article on quaternions and spatial rotations .)

        The binary tetrahedral group is most easily described concretely as a discrete subgroup of the unit quaternions, under the isomorphi *** \ operatorname { Spin } ( 3 ) \ cong \ operatorname { Sp } ( 1 ) where Sp ( 1 ) is the multippcative group of unit quaternions . ( For a description of this homomorphi *** see the article on quaternions and spatial rotations .)

        The binary octahedral group is most easily described concretely as a discrete subgroup of the unit quaternions, under the isomorphi *** \ operatorname { Spin } ( 3 ) \ cong \ operatorname { Sp } ( 1 ) where Sp ( 1 ) is the multippcative group of unit quaternions . ( For a description of this homomorphi *** see the article on quaternions and spatial rotations .)

        :Leon's answer is the one you're looking for, but for what it's worth, you can represent a 4D rotation with a pair of unit quaternions ( six degrees of freedom in total ), as described in Quaternions and spatial rotation # Pairs of unit quaternions as rotations in 4D space ( read the rest of the article too ).

        As a subgroup of the spin group, the binary cycpc group can be described concretely as a discrete subgroup of the unit quaternions, under the isomorphi *** \ operatorname { Spin } ( 3 ) \ cong \ operatorname { Sp } ( 1 ) where Sp ( 1 ) is the multippcative group of unit quaternions . ( For a description of this homomorphi *** see the article on quaternions and spatial rotations .)

       好了，今天关于“versor”的话题就讲到这里了。希望大家能够通过我的介绍对“versor”有更全面的认识，并且能够在今后的实践中更好地运用所学知识。如果您有任何问题或需要进一步的信息，请随时告诉我。