complex conjugate

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complex conjugate

n.
Either one of a pair of complex numbers whose real parts are identical and whose imaginary parts differ only in sign; for example, 6 + 4i and 6 - 4i are complex conjugates.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

complex conjugate

n
(Mathematics) maths the complex number whose imaginary part is the negative of that of a given complex number, the real parts of both numbers being equal: a ib is the complex conjugate of a +ib.
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
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Noun1.complex conjugate - either of two complex numbers whose real parts are identical and whose imaginary parts differ only in sign
complex number, complex quantity, imaginary, imaginary number - (mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1
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References in periodicals archive ?
The mode components of the Dirac equation, deduced from the Einstein-Dirac action, can be summarized in the following set of differential equations (and corresponding complex conjugates) [2]:
The triangle is isosceles because one root is always on the horizontal (real) axis and the other two roots, being complex conjugates, appear symmetrically behind and in front of the real axis.
Lastly, it may be interesting to point out that if [a.sub.k] were complex conjugates of [a.sub.-k] such as the Fourier coefficient of a real variable, the auxiliary variables [b.sub.k] and [c.sub.k] would become complex conjugates of each other as known from the definition (3).
Here we demonstrated the separation of minor actinides using complex conjugates of MNPs with diethylenetriamine-pentaacetic acid (DTPA) chelator.
If a real 2 x 2 matrix has eigenvalues that are complex, the corresponding eigenvectors are also complex and the eigenpairs are complex conjugates.
Then, the reflection (R) and transmission (T) coefficients from the structure become the complex conjugates of their counterparts.
Because the inner products cancel when complex conjugates are multiplied
(3.49) or (3.50), then d, and y (they are the complex conjugates of d, y) are solutions to Eqs.
(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.