When P is finite, the second condition forces the binary relation to be

antisymmetric.

Table 1 contains nondimensionalized deflections and stresses for

antisymmetric cross-ply laminates under different types of mechanical loads.

In this paper, we have derived Electromagnetism from the Elastodynamics of the Spacetime Continuum based on the identification of the theory's

antisymmetric rotation tensor [[omega].

between skew-symmetric matrices and (pseudo)-vectors defined by the completely

antisymmetric Levi-Civita tensor [[epsilon].

1] correspond to the

antisymmetric and symmetric stretching vibration of Si-O respectively.

The radial TEM waves associated with the structure in Figure 5 will be

antisymmetric, with respect to the split, and will be of the circumferentially varying type.

In contrast to the present example, where zero-stiffness postbuckling is a special case of symmetric bifurcation, it may also be a special case of

antisymmetric bifurcation (Steinboeck et al.

According to the standard definitions of these properties, the prior to or simultaneous with relation is transitive if and only if: if x is prior to or simultaneous with y, and y is prior to or simultaneous with z, then x is prior to or simultaneous with z; the prior to or simultaneous with relation is

antisymmetric if and only if: if x is prior to or simultaneous with y and y is prior to or simultaneous with x, then x is simultaneous with y; the prior to or simultaneous with relation is strongly connected if and only if, for every x and y, either x is prior to or simultaneous with y or y is prior to or simultaneous with x.

p] (y, x), this shows that x = y,that is, "[less than or equal to]" is

antisymmetric.

0] and with the

antisymmetric constituent describing the interaction between the average flow and the turbulence constituent with M, [OMEGA], and energy [K.

nxn] S the subspace of N formed by the symmetric matrices A the subspace of N formed by the

antisymmetric matrices [A.

I am using an apex and a pedex for these quantities to evidence the asymmetry of [tau] and i: u T/i has a probabilistic interpretation as the probability of the statement "i" is about "[tau]" and, since the relation of aboutness is

antisymmetric [1], we can expect [u.