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orthogonal group sentence in Hindi

"orthogonal group" meaning in Hindiorthogonal group in a sentence
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  • Such a hypersurface, called a quasi-sphere, is preserved by the appropriate indefinite orthogonal group.
  • The subgroup of orthogonal matrices with determinant is called the " special orthogonal group ", denoted.
  • Over, one replaces by the orthogonal group, and by restricting to orthonormal frames, one gets the identity
  • Similarly there is a homomorphism from the Spin group to the special orthogonal group of " V ".
  • It covered symmetric groups, general linear groups, orthogonal groups, and symplectic groups and results on their representations.
  • In even dimension, the middle group is known as the split orthogonal group, and is of particular interest.
  • The special orthogonal group SO ( " N " ) has irreducible ordinary and spin representations labelled by signatures
  • In the case of the symmetries of a sphere, the matrix group is the orthogonal group of three dimensions.
  • Moreover, the diffeomorphism group of the circle has the homotopy-type of the orthogonal group O ( 2 ).
  • There is also the connecting homomorphism from of the orthogonal group, to the of the kernel of the spin covering.
  • Moreover, since composition of rotations corresponds to matrix multiplication, the rotation group is isomorphic to the special orthogonal group.
  • Every such group is a subgroup of the orthogonal group O ( 2 ), including O ( 2 ) itself.
  • One is rotation group, or more generally of double cover of the generalized special orthogonal group on spaces with metric signature.
  • The set of orthogonal matrices forms a group O ( " n " ), known as the orthogonal group.
  • The term "'rotation group "'can be used to describe either the special or general orthogonal group.
  • The set of all orthogonal matrices of size with determinant + 1 or-1 forms the ( general ) orthogonal group.
  • The properties of the spin representations depend, in a subtle way, on the dimension and signature of the orthogonal group.
  • An archetypical irreducible reductive dual pair of type I consists of an orthogonal group and a symplectic group and is constructed analogously.
  • The "'indefinite special orthogonal group "', is the subgroup of consisting of all elements with determinant 1.
  • Any subgroup containing at least one non-zero translation must be infinite, but subgroups of the orthogonal group can be finite.
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