Sentence examples for a discrete subset of from inspiring English sources
Although the real world is analog, digital designers discipline themselves to use a discrete subset of possible signals.
Mallat and Zhang [10] used the matching pursuit (MP) method that decomposes the signal into a linear expansion of time-frequency components; however, this algorithm needs to select a discrete subset of possible dictionary functions for practical implementation [10].
He defined f on a mixed time scale (mathbb{T}_{alpha}:={ldots,rho^{2} alpha),rho alpha),alpha,sigma (alpha),sigma^{2} alpha),ldots}), (alpha>frac{b}{1-a}), which is a discrete subset of (mathbb{R}).
We describe a method for finding an optimal reduction of the set of objectives yielding a smaller problem whose Pareto optimal set w.r.t. a discrete subset of the decision space is as close as possible to that of the original set of objectives.
end{aligned} (1.8)The second integral in (1.8) is just the first integral rearranged to give a precise integral analogue of the series in (1.7), which may be thought of as a "discrete reproducing kernel formula", expressing the reproduction of (f) from a discrete subset of its values.
Gender-variance is perhaps a discrete subset of the same mechanics that lead to overt intersex births, where the processes that fail or trip inadvertently are localized within the developing brain.
Making no assumption on the integrability of πλ, we describe explicitly a discrete subset Γ of G and a vector f∈L2(M,dμM) such that πλf is a tight frame for L2(M,dμM).
We prove that under reasonably weak conditions on G and π there exist a discrete subset Γ of G/Z(G) and some (relatively) compact set F⊆Rd such that{|F|−1/2π1F|γ∈Γ} forms an orthonormal basis of L2 Rd).
To evaluate the morphology of a more discrete subset of axonal longitudinal connectives, Df(1 446-20, Ppt1A179T, and Ppt1S77F, and trans-heterozygous Ppt1 mutant embryos were stained with mAb1D4.
Although CD103 was a marker of this discrete subset of DCs, CD103 expression itself was not required for cross-presentation of cell-associated OVA in vivo and indeed appeared to be strongly downregulated on activation of DCs.
The construction of the self-maps of interest is performed via a so-called switching rule which is a piecewise-constant map from a set to some finite subset of the positive integers or a sequence map which domain in some discrete subset of.
