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...

In mathematics, the conjugate transpose, also known as the Hermitian transpose, of an m × n {\displaystyle m\times n} complex matrix A {\displaystyle...

representation of it over the complex vector space V, then the complex conjugate representation Π is defined over the complex conjugate vector space V as follows:...

In mathematics, the complex conjugate root theorem states that if P is a polynomial in one variable with real coefficients, and a + bi is a root of P...

a complex square matrix that is equal to its own conjugate transpose—that is, the element in the i-th row and j-th column is equal to the complex conjugate...

In mathematics, the complex conjugate of a complex vector space V {\displaystyle V\,} is a complex vector space V ¯ {\displaystyle {\overline {V}}} that...

derivative of f with respect to z ¯ , {\displaystyle {\bar {z}},} the complex conjugate of z , {\displaystyle z,} is zero: ∂ f ∂ z ¯ = 0 , {\displaystyle...

real if and only if it equals its own conjugate. The unary operation of taking the complex conjugate of a complex number cannot be expressed by applying...

In complex geometry, the complex conjugate line of a straight line is the line that it becomes by taking the complex conjugate of each point on this line...

the complex conjugation, since the algebraic conjugates over R {\displaystyle \mathbb {R} } of a complex number are the number itself and its complex conjugate...