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This approach permits to compute the decomposition of a function into a lacunary wavelet basis, i.e., a basis constituted of a subset of all basis functions up to a certain scale, without modification.
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(i) In order to apply the Galerkin procedure, we consider a basis of (mathbb{H}^{1}_{0}(Omega)) constituted of elements (omega_{i}) of (mathcal{D}(Omega)), a basis of (H^{1}_{0}(Omega)) constituted of elements (w_{i}) of (mathcal{C}^{infty}_{0}(Omega)), and a basis of (L^{2}(Omega)) constituted of elements (gamma_{i}) of (mathcal{C}^{infty}_{0}(Omega)).
The changes in electron tunneling rates constituted basis of the concept of transient "opening" of the Qo site for the reaction with oxygen introduced originally in ref. [11].
Generally, on dry weight basis, it constitutes ~ 0.2% of the plant biomass (Schachtman et al. 1998).
In this paper, we develop high order interpolants, from any basis that constitutes a partition of unity, which satisfy these integral relations exactly.
Together with the unchanged CVD mortality, this constituted the basis of the lack of improvement of survival for the diabetic subjects.
White, heaped in the center, constituted the basis of that type of mixture, which he prepared especially with blue.
Their works constituted the basis of the study of masculinity in contemporaneous Spain (39– 41).
The neural basis of selective attention constitutes one of the most fundamental questions in cognitive neuroscience and psychology.
Because Darwin published these findings just a few years after Mendel published his work, the hereditary basis of this phenomenon constitutes one of the oldest problems in genetics.
This work constituted the basis of subsequent commentaries written by a number of eminent moral theologians and was used as a textbook in many seminaries.
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