linear representation sentence in Hindi
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- Some people use " realization " for the general notion and reserve the term " representation " for the special case of linear representations.
- The latter could be referred to as a linear representation of the now called star of slots ( German : " Nutenstern " ).
- Linear representation of protein sequence above shows the relative positions of the conserved amino acid motifs in the structure ( colors match with 3D structure)
- The not necessarily complex linear representations of come using another variant of the unitarian trick as is shown in the last Lie algebra isomorphism in.
- More serious examples are found in the theory of projective representations, in cases where the projective representation cannot be lifted to an ordinary linear representation.
- As indicated by the definition quoted above, the Unix time scale was originally intended to be a simple linear representation of time elapsed since an epoch.
- DTW has been applied to video, audio, and graphics indeed, any data that can be turned into a linear representation can be analyzed with DTW.
- Vice versa we obtain a linear representation of G starting from a K [ G ] module V . Therefore, these terms may be used interchangeably.
- They showed that there are nonlinear representations of the Lorentz Lie algebra with these properties ( the usual Lorentz group being obtained from a linear representation ).
- Then the map s \ mapsto \ rho ( s ) defines a linear representation of G, which is also called "'tensor product "'of the given representations.
- The abstract group of a reflection group is a Coxeter group, while conversely a reflection group can be seen as a linear representation of a Coxeter group.
- The interest for algebra is in the process in the other direction : given a " projective representation ", try to'lift'it to a conventional " linear representation ".
- The complete reducibility of finite-dimensional linear representations of compact groups, or connected semisimple Lie groups and complex semisimple Lie algebras goes sometimes under the name of " Weyl's theorem ".
- Here, by " tensor product of representations ", the usual meaning is intended : the result should be a linear representation of the same algebra on the product vector space.
- However, since we want to construct examples for linear representations, where groups act on vector spaces instead of on arbitrary finite sets, we have to proceed in a different way.
- To be precise, the generalized permutation matrices are a ( faithful ) linear representation of this abstract wreath product : a realization of the abstract group as a subgroup of matrices.
- If it does, we may take that as origin and regard A as a vector space : in that case, we actually have a linear representation in dimension " n ".
- The Debye model and the Lorentz model use a 1st-order and 2nd-order ( respectively ) lumped system parameter linear representation ( such as an RC and an LRC resonant circuit ).
- It is known that the monodromy representation of KZ equation with a general semi-simple Lie algebra agrees with the linear representation of braid group given by R-matrix of the corresponding quantum group.
- This means that they must be tensor products of complex linear representations of, as can be seen by restriction to the subgroup, a compact group to which the Peter Weyl theorem applies.
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