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As of June 2011, Firefox 5 includes CSS animations support. [4] CSS animation is also available as a module in the nightly builds of WebKit as well as Google Chrome, Safari 4 and 5 and Safari for iOS (iPhone, iPod Touch, iPad), Android versions 2.x and 3.x, Internet Explorer 10+ and Microsoft Edge browser, the BlackBerry OS 6 web browser, with the -webkit-prefix.
However, it is possible to bring every skew-symmetric matrix to a block diagonal form by a special orthogonal transformation. [ 4 ] [ 5 ] Specifically, every 2 n × 2 n {\displaystyle 2n\times 2n} real skew-symmetric matrix can be written in the form A = Q Σ Q T {\displaystyle A=Q\Sigma Q^{\textsf {T}}} where Q {\displaystyle Q} is orthogonal and
A system of skew coordinates is a curvilinear coordinate system where the coordinate surfaces are not orthogonal, [1] in contrast to orthogonal coordinates.. Skew coordinates tend to be more complicated to work with compared to orthogonal coordinates since the metric tensor will have nonzero off-diagonal components, preventing many simplifications in formulas for tensor algebra and tensor ...
In mathematics, the Cayley transform, named after Arthur Cayley, is any of a cluster of related things. As originally described by Cayley (1846), the Cayley transform is a mapping between skew-symmetric matrices and special orthogonal matrices. The transform is a homography used in real analysis, complex analysis, and quaternionic analysis.
The Hankel matrix transform, or simply Hankel transform, of a sequence is the sequence of the determinants of the Hankel matrices formed from . Given an integer n > 0 {\displaystyle n>0} , define the corresponding ( n × n ) {\displaystyle (n\times n)} -dimensional Hankel matrix B n {\displaystyle B_{n}} as having the matrix elements [ B n ] i ...
A reflection about a line or plane that does not go through the origin is not a linear transformation — it is an affine transformation — as a 4×4 affine transformation matrix, it can be expressed as follows (assuming the normal is a unit vector): [′ ′ ′] = [] [] where = for some point on the plane, or equivalently, + + + =.
A geometric rotation transforms lines to lines, and preserves ratios of distances between points. From these properties it can be shown that a rotation is a linear transformation of the vectors, and thus can be written in matrix form, Qp. The fact that a rotation preserves, not just ratios, but distances themselves, is stated as
In graph theory, a branch of mathematics, a skew-symmetric graph is a directed graph that is isomorphic to its own transpose graph, the graph formed by reversing all of its edges, under an isomorphism that is an involution without any fixed points. Skew-symmetric graphs are identical to the double covering graphs of bidirected graphs.