Complex conjugate and Conjugate transpose

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Complex conjugate and Conjugate transpose

Complex conjugate vs. Conjugate transpose

In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign. In mathematics, the conjugate transpose or Hermitian transpose of an m-by-n matrix A with complex entries is the n-by-m matrix A∗ obtained from A by taking the transpose and then taking the complex conjugate of each entry.

Similarities between Complex conjugate and Conjugate transpose

Complex conjugate and Conjugate transpose have 9 things in common (in Unionpedia): Complex conjugate vector space, Complex number, Dagger (typography), Hermitian adjoint, Hilbert space, Mathematics, Matrix (mathematics), Real number, Vector space.

Complex conjugate vector space

In mathematics, the complex conjugate of a complex vector space V\, is a complex vector space \overline V, which has the same elements and additive group structure as V, but whose scalar multiplication involves conjugation of the scalars.

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Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

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Dagger (typography)

A dagger, obelisk, or obelus is a typographical symbol usually used to indicate a footnote if an asterisk has already been used.

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Hermitian adjoint

In mathematics, specifically in functional analysis, each bounded linear operator on a complex Hilbert space has a corresponding adjoint operator.

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Hilbert space

The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Matrix (mathematics)

In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

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The list above answers the following questions

What Complex conjugate and Conjugate transpose have in common
What are the similarities between Complex conjugate and Conjugate transpose

Complex conjugate and Conjugate transpose Comparison

Complex conjugate has 45 relations, while Conjugate transpose has 31. As they have in common 9, the Jaccard index is 11.84% = 9 / (45 + 31).

References

This article shows the relationship between Complex conjugate and Conjugate transpose. To access each article from which the information was extracted, please visit:

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