complex conjugate

Now by Hurwitz's Root Theorem all zeros of [[DELTA].sub.[epsilon]](z) in this domain including the complex conjugate will be in [[union].sup.n(k)-1.sub.j=1] [O.sub.j] for [epsilon] sufficiently small and by number equal to the number of the real zeros of [C.sub.[sigma]](z) - f(z) in [k[pi]/[sigma], (k + 1)[pi]/[sigma]], counting multiplicities.

If M is a matrix, we denote by [M.sup.T] the transpose of M, by [bar.M] the complex conjugate of M, by [M.sup.*] the transpose complex conjugate of M, and by [M.sup.-1] the inverse of M.

Lead appeared to target a type of cell known as antigen presenting cells, and its effect was based on specific peptide-major histocompatibility complex conjugate. The results suggest that lead may pose even more long-term health threats than originally thought.

More generally, if the FFT of one time-domain signal Q is multiplied by the complex conjugate of the FFT of another signal R, a cross power spectrum results.

In general terms, maximum power transfer occurs when the two impedances at any given node are the complex conjugate of one another.

has six roots [[xi].sub.3] = [[xi].sup.N.sub.3] ([omega], [[xi].sub.[alpha]]), N = [+ or -] 1, 2, 3, [alpha] = 1, 2, which may either be real or occur in complex conjugate pairs.

The reflected beam is the complex conjugate of the amplitude of the input wave.

The points of intersection are (-2, 1) and (-2, -1), so the complex conjugate roots are z = -2 [+ or -] i.

We particularly study the case k = 2, for which we characterize the boundary of the region in the complex plane contained in W (A), where pairs of complex conjugate Ritz values are located.

the complex conjugate of the inverse matrix of the positive definite Hermitian matrix A.

At the Hopf bifurcation point, a couple of complex conjugate poles, with negative real part, crosses the imaginary axis of the complex plane.

Here 9 [member of] R is a real number, z, [z.sub.0] [member of] D, and [[bar.z].sub.0] is the complex conjugate of z0.