skew-symmetric oor Fins
skew-symmetric
en
(linear algebra) (Of a matrix) whose entries on one side of the diagonal are the additive inverses of their correspondents on the other side of the diagonal and the elements on the main diagonal are zero
Vertalings in die woordeboek Engels - Fins
vinosymmetrinen
Geskatte vertalings
Vertoon algoritmies gegenereerde vertalings
voorbeelde
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Voorbeelde moet herlaai word.
Under this map, the cross product of 3-vectors corresponds to the commutator of 3x3 skew-symmetric matrices.
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In particular in any dimension bivectors can be identified with skew-symmetric matrices, so the product between a skew-symmetric matrix and vector is equivalent to the grade-1 part of the product of a bivector and vector.
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There is a subgroup, the special unitary group SUn(R) and their quotients the projective unitary group PUn(R) = Un(R)/Z(Un(R)) and the projective special unitary group PSUn(R) = SUn(R)/Z(SUn(R)) The symplectic group Sp2n(R) preserves a skew symmetric form on a module.
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Note that this representation is another form of the skew-symmetric representation of the cross product:
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The general symplectic group GSp2n(R) consists of the automorphisms of a module multiplying a skew symmetric form by some invertible scalar.
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In mechanics, for example, the angular velocity can be interpreted either as a pseudovector displaystyle \omega} or as a anti-symmetric matrix or skew-symmetric tensor displaystyle \Omega} .
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6 sinne gevind in 3 ms. Hulle kom uit baie bronne en word nie nagegaan nie.