Definitions for immanant
im·manant

WiktionaryRate this definition:0.0 / 0 votes

1. immanantnoun

   A function or property of a matrix, defined as a generalization of the concepts of determinant and permanent.

WikipediaRate this definition:0.0 / 0 votes

1. 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)}.}

How to pronounce immanant?

1. Alex

   US English

   David

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   Mark

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   Daniel

   British

   Libby

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   Australian

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How to say immanant in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of immanant in Chaldean Numerology is: 7

2. Pythagorean Numerology

   The numerical value of immanant in Pythagorean Numerology is: 4

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Immanant
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Immanant