Ng, "Influence of stacking sequence on scattering characteristics of the fundamental anti-symmetric
Lamb wave at through holes in composite laminates," The Journal of the Acoustical Society of America, vol.
where sinc([theta]) = sin([theta])/[theta], [[mu]] is the anti-symmetric
matrix of [mu].
As J is anti-symmetric
and R is symmetric positive definite, substitute the controller of (8) into (9) yields
For non-symmetric coefficients, this structure only increases multiplier savings in the filter bank by a factor of two, but for symmetric and anti-symmetric
filter coefficients, the savings in multipliers increases further.
where the tensor [u.sup.[mu];v] is a combination of symmetric and anti-symmetric
Zhang, "The expansion problem of anti-symmetric
matrix under a linear constraint and the optimal approximation," Journal of Computational and Applied Mathematics, vol.
We shall write SymCat(Q) for the full sub-2-category of Cat(Q) determined by the symmetric Q-categories (in which the local order is in fact symmetric, but not anti-symmetric
The normal deviatoric stress acted on viscoelastic fluid is larger than Newtonian fluid, the higher of We about viscoelastic fluid is, the larger normal deviatoric stress is; and the distribution of normal deviatoric stress is different, is anti-symmetric
for the Newtonian fluid, but for viscoelastic fluid, with the increase of We, this anti-symmetric
decreases gradually, the higher compression on Upstream of oil film is, the lower tension on downstream of oil film is.
Symmetric (S0) and anti-symmetric
mode (A0) dispersion curves were drawn for circular plate waveguide of thickness 2 mm and shown in Fig.
Given matrix P [member of] [SOR.sup.n x n], we say that a matrix A [member of] [R.sup.n x n] is generalized centro-symmetric (or generalized central anti-symmetric
) with respect to P, if PAP = A (or PAP = - A).
stresses [[tau]'.sub.ij] are given by