complex conjugate


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complex conjugate

[′käm‚pleks ′kän·jə·gət]
(mathematics)
One of a pair of complex numbers with identical real parts and with imaginary parts differing only in sign. Also known as conjugate.
The matrix whose elements are the complex conjugates of the corresponding elements of a given matrix.
References in periodicals archive ?
By examining the real part of the complex conjugate paired eigen values, the stability of the torsional vibration modes they represent can be determined.
There is one real root apparent at x = 1 but no indication whatsoever of the whereabouts of the complex conjugate roots.
Then the eigenvalues of A are real or occur in complex conjugate pairs.
The conversion gain achieved after creating a pair of complex conjugate poles, with negative real part [r.
k] at k[pi]/[sigma], k [not equal to] 0, a value [epsilon] at z = 0, having simple zeros in (-[pi]/[sigma], 0) and (0, [pi]/[sigma]), and m - 1 complex conjugate zeros close to z = 0.
Because the inner products cancel when complex conjugates are multiplied
50), then d, and y (they are the complex conjugates of d, y) are solutions to Eqs.
Since the TF denominator of the stable circuit is the Hurwitz polynomial, the roots of this polynomial can be either real negative, or they can form the complex conjugate pairs with negative real part.
B(s) equal to zero (note that minus sign correspond to the complex conjugate pole of transfer function)--with [[sigma].
n,m], A* denotes the complex conjugate and transpose of A [member of] [C.
1) [Mathematical Expression Omitted] (2) [Mathematical Expression Omitted] where <> = the time average * = the complex conjugate N is a Hermitian matrix, that is, its nondiagonal elements are complex conjugates of each other, which will be true of all power correlation matrices.
The non-real n-th roots of unity always form complex conjugate pairs.