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I'd hung around long enough for certain faces to become familiar, certain vectors to intersect.
In the special case where μ is quasi-invariant with respect to certain vectors in E our result generalises previous theorems on closability.
This type of independence is usually achieved by the use of diversity, which might be effective for certain vectors of attack.
When certain vectors are shown not to be in this cone, the implication is an inequality on the parameters or a condition on the structure of a t-design.
This result suggests considering the following functions: G n, m ( x | a ( n ), b ( m ), q ) = f h ( x | q ) ∏ j = 1 n φ h ( x | a i, q ) ∏ k = 1 m φ h ( x | b k, q ), where a ( n ) and b ( m ) are certain vectors of dimensions respectively n and m, find its integrals over [ − 1, 1 ] and expansions similar to (3.2). 2.
And climate change is helping certain vectors, like mosquitoes, to thrive.
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That record ended this week, and I cannot shake the feeling that a certain vector of our history ended then as well.
A certain vector is propagated through a sequence of multiplications with delta matrices.
In this section, we consider the case that q is a certain vector.
We consider a class of bounded linear operators on Hilbert space called n-hypercontractions which relates naturally to adjoint shift operators on certain vector-valued standard weighted Bergman spaces on the unit disc.
The main point is to construct an appropriate extension of this bundle to the double of the finite bordered Riemann surface and to use Cauchy kernels for certain vector bundles on a compact Riemann surface.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com