If two identically polarized photons are sent at once, an eavesdropper can pick off one of them without disturbing the other.
And, in fact, these lenses will benefit from the new autofocus system and may perform better than they did originally, if not identically — slight changes will no doubt emerge from the addition of the new optics.
If an identically zero function is the only solution of the differential equation D^{alpha}m(t) = frac{M}{1+t^{alpha}}m(t) quad textit{a.e.e
t ∈ J, for all x 1, x 2 ∈ R. If an identically zero function is the only solution of the differential equation D q m ( t ) = G ( t, m ( t ) ) a.e.
Similarly, PRR7 and PRR9 are two similar genes, modelled as if behaving identically in other work [ 20]; the algorithm connects these genes throughout each iteration of network expansion, consistent with their similar expression patterns but with each gene showing different connections to other genes of the network.
f and g have a nontrivial common factor if and only if r is identically zero.
Then: (a) f and g have a nontrivial common factor if and only if r is identically zero.
It is well known that an almost contact metric manifold is cosymplectic if and only if ∇̃φ vanishes identically, i.e., ((widetilde{nabla}_{X}varphi)Y=0) and (widetilde{nabla}_{X}xi=0).
For a submanifold M of an almost contact manifold M ¯, if F is identically zero then M is invariant, and if P is identically zero then M is anti-invariant.
A submanifold M of an almost contact metric manifold M̃ is said to be invariant if F is identically zero, that is, (varphi XinGamma(TM)) and anti-invariant if P is identically zero, that is, (varphi XinGamma(T^{perp}M)), for any (XinGamma(TM)).
