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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.
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.
Of course, bases need not to be quasi-greedy, there exists a non-quasi-greedy basis, for these types of bases, TGA may fail to converge for certain vector (x in X).
In the papers of Schneider [11,12], and the paper by Schneider and Rosenberg [13], existence results for closed magnetic geodesics on Riemann surfaces are given by studying the zeros of a certain vector field.
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I'd hung around long enough for certain faces to become familiar, certain vectors to intersect.
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.
In Section 3, we discuss some sufficient efficiency conditions where we formulate and prove several sets of sufficiency criteria under a variety of the first order exponential type (HA alpha,beta,gamma,xi,rho,eta,h cdot,cdot),theta))-V-invexities that are placed on certain vector-valued functions whose entries consist of the individual as well as some combinations of the problem functions.
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.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com