Examples of 'orthogonal group' in a sentence
Meaning of "orthogonal group"
orthogonal group - in mathematics, specifically group theory, an orthogonal group is a group of matrices that preserves a specific bilinear form or quadratic form
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- For given n and field F (especially where F is the real numbers), the group of n × n orthogonal matrices with elements in F, where the group operation is matrix multiplication.
How to use "orthogonal group" in a sentence
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orthogonal group
It is a subgroup of the orthogonal group.
See orthogonal group.
Another important matrix group is the special orthogonal group SOn.
She studied the orthogonal group and its corresponding projective group.
We develop nonlinear filtering techniques on thespecial orthogonal group to estimate attitude.
The orthogonal group also forms an interesting example of a Lie group.
We now turn to the action of the orthogonal group on the spinors.
The special orthogonal group SO ( n ) has a double cover called the spin group Spinn.
List of matrix product whose traces form base for proper orthogonal group will be defined.
Then, every element of the orthogonal group O ( V, b ) is a composition of at most n reflections.
For details, see indefinite orthogonal group.
The orthogonal group O ( n ) is double covered by the Pin group Pin ± n.
The structure group is the orthogonal group On.
These orthogonal transformations form a group under composition, the orthogonal group.
We define the special orthogonal group to be the image of Γ0.
See also
orthogonal frequency division
orthogonal frequency division multiplexing
orthogonal matrix
orthogonal polynomials
orthogonal frequency division multiplexing
orthogonal matrix
orthogonal polynomials
Orthogonal matrices with determinant 1 form a subgroup called special orthogonal group.
PSO - projective orthogonal group.
If instead we restrict ourselves to orthogonal matrices, then we get the orthogonal group On.
SO - special orthogonal group.
Reflective circular symmetry is isomorphic with the orthogonal group O2.
In mathematics, SO ( 8 ) is the special orthogonal group acting on eight-dimensional Euclidean space.
Orthogonal matrices, determined by the condition MTM I, form the orthogonal group.
The structure group is the orthogonal group O " n.
Specifically, we have, formula 7The circle group is therefore isomorphic to the special orthogonal group SO2.
The Cartan-Dieudonné theorem describes the structure of the orthogonal group for a non-singular form.
Moreover, the diffeomorphism group of the circle has the homotopy-type of the orthogonal group O2.
They form the special orthogonal group SO2.
For instance, the group of isometries of the two-dimensional unit sphere is the orthogonal group O3.
The name comes from the fact that it is the special orthogonal group of order 4.
The Euclidean group has as subgroups the group T of translations, and the orthogonal group O ( n ).
We start by extending the generalized Springer correspondence to the orthogonal group ( which is disconnected ).
Another important matrix group is the special orthogonal group SO ( n ).
The set of all rotation matrices is called the special orthogonal group SO ( 3 ), the set.
It has as subgroups the translational group T ( n ), and the orthogonal group O ( n ).
The quotient group of E ( n ) by T is isomorphic to the orthogonal group O ( n ),.
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Examples of using Orthogonal
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Avoid orthogonal walls corners of room in particular
Anything in v perp perp is orthogonal to anything in v perp
The orthogonal components are now readily identified
