What does immanant mean?
Definitions for immanant
im·manant
This dictionary definitions page includes all the possible meanings, example usage and translations of the word immanant.
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Wiktionary
immanantnoun
A function or property of a matrix, defined as a generalization of the concepts of determinant and permanent.
Wikipedia
Immanant
In mathematics, the immanant of a matrix was defined by Dudley E. Littlewood and Archibald Read Richardson as a generalisation of the concepts of determinant and permanent. Let λ = ( λ 1 , λ 2 , … ) {\displaystyle \lambda =(\lambda _{1},\lambda _{2},\ldots )} be a partition of an integer n {\displaystyle n} and let χ λ {\displaystyle \chi _{\lambda }} be the corresponding irreducible representation-theoretic character of the symmetric group S n {\displaystyle S_{n}} . The immanant of an n × n {\displaystyle n\times n} matrix A = ( a i j ) {\displaystyle A=(a_{ij})} associated with the character χ λ {\displaystyle \chi _{\lambda }} is defined as the expression Imm λ ( A ) = ∑ σ ∈ S n χ λ ( σ ) a 1 σ ( 1 ) a 2 σ ( 2 ) ⋯ a n σ ( n ) . {\displaystyle \operatorname {Imm} _{\lambda }(A)=\sum _{\sigma \in S_{n}}\chi _{\lambda }(\sigma )a_{1\sigma (1)}a_{2\sigma (2)}\cdots a_{n\sigma (n)}.}
Numerology
Chaldean Numerology
The numerical value of immanant in Chaldean Numerology is: 7
Pythagorean Numerology
The numerical value of immanant in Pythagorean Numerology is: 4
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"immanant." Definitions.net. STANDS4 LLC, 2024. Web. 18 Mar. 2024. <https://www.definitions.net/definition/immanant>.
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