Sentence examples for isolated points of from inspiring English sources

Generically, elliptically polarized optical beams contain C points, isolated points of circular polarization embedded in a field of elliptical polarization.

Therefore, X = ker ( d A B − λ ) ⊕ ( d A B − λ ) X. Thus, isolated points of σ ( d A B ) are simple poles of the resolvent of d A B. Hence, d A B is polaroid.

If (pm 1) are isolated points of the spectrum of A and are discrete eigenvalues, then (K:{mathrm{ran}}, P rightarrow {mathrm{ran}}Q) by Open image in new window is a Fredholm operator [616, Section 3.15], both sides of (5.36) are finite and their difference is the index of K. So, in this case, the theorem says that U obeying (5.19) exists if and only if index((K =0).

And he finds himself surrounded by Internet zombies, laptop-addicted creatures who have so grievously lost their capacity for human interaction "that social space has been contracted into isolated points of wanting, all locked into separate phases of inwardness".

Sequences of positive solutions to semilinear elliptic equations of critical exponential growth in the plane either are precompact in the Sobolev H1-topology or concentrate at isolated points of the domain.

If, additionally, the isolated points of σ ( M 0 ) are poles of the resolvent of M 0, then M c satisfies Weyl's theorem if and only if M 0 satisfies Weyl's theorem.

While this scheme cannot generate an image of the sample, it provides fast temporal resolution (limited by the APD to 10 Hz) and subdiffraction-limited illumination width (55 ± 10 nm) of isolated points on the membrane.

Isolating points of agreement and disagreement will show us how to make our argument even stronger.

These libraries provide a greater tolerance of latency and failure by isolating points of access between the services.

We define σ S B F + − ( T ) = { λ ∈ C : T − λ ∉ S B F + − ( H ) }. Let E a ( T ) denote the set of all isolated points λ of σ a ( T ) with 0 < α ( T − λ ).

Other signature proteins were isolated pointing to a variety of relationships.