Examples of 'linear group' in a sentence
Meaning of "linear group"
In mathematics, a 'linear group' typically refers to a group of matrices (with a certain property) that form a group under matrix multiplication
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- Any group that is isomorphic to a matrix group.
How to use "linear group" in a sentence
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linear group
General linear group and representation theory.
This is the affine analogue of the special linear group.
They form the general linear group under composition.
Linear group delay distortion.
See also general linear group over finite fields.
Still more preferably the alkoxy group is a linear group.
Special linear group.
Linear group propagation delay over the whole frequency range.
Complex general linear group.
The special linear group over a field is generated by elementary matrices.
Infinite general linear group.
The linker is a linear group comprising alkyl, amide and ether groups.
Stable general linear group.
This construction generalizes the usual construction of the unitary group from the general linear group.
Affine general linear group.
See also
Archaic . cogredient Transforming according to the natural representation of a linear group.
Finite linear group.
That is surjective and its kernel is the special linear group.
Classical linear group.
It is an open question whether the mapping class group is a linear group or not.
In particular, the general linear group is also a deformation retract of the full diffeomorphism group.
The elementary matrices generate the general linear group of invertible matrices.
A linear group of three nucleotides (triplets) codes for each amino acid.
This is a quotient of the action of the general linear group on projective space.
In certain embodiments, the linear group comprises groups selected from alkyl, amide and ether groups.
These come from the rational representations of the general linear group.
Of the preface: The general linear group is more important.
The functional groups may stand aside from the linear group.
Main articles, General linear group and Representation theory.
The unitary group is a subgroup of the general linear group GL.
For example the general linear group of 2 × 2 real invertible matrices has a transitive action on it.
The Lie group that it generates is the special linear group.
General linear group and representation theory===Matrix groups consist of matrices together with matrix multiplication.
Additionally, the group must be closed in the general linear group.
The general linear group GI ( n, ℝ ) acts freely and transitively on these frames.
The quaternion group can be represented as a subgroup of the general linear group GL2C.
SL - special linear group.
In one embodiment, the divalent alkanediyl group CsH2s is a linear group.
The general linear group GLn ( R ) is the group of all R-linear automorphisms of Rn.
These substitutions form the special linear group SL2.
The projective linear group PGL ( 2,C ) acts on the Riemann sphere by the Möbius transformations.
The unitary group is a subgroup of the general linear group GIn, C.
Linear group containing 1 to 6 carbon atoms ; an alkoxy group containing 1 to 6 carbon atoms ;.
The modular group may be realised as a quotient of the special linear group SL2, Z.
The center of the general linear group formula_9 is the collection of scalar matrices formula_10.
Advantageously, this is a linear group.
The general linear group GI ( n, R ) consists of all invertible n-by-n matrices with real entries.
The generalized Ramanujan conjecture for the general linear group implies Selberg 's conjecture.
Particularly preferably, in the one or more compounds of the formula ( I ) R is a linear group.
The elementary matrices generate the general linear group GLn ( R ) when R is a field.
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Examples of using Linear
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