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If a1, …, ad′ is a Lie algebra basis of g, Ai = dU ai) and Aα = Ai1 …Aik whenever α = (i1, …, ik) we consider the operators [formula] where the cα are complex coefficients satisfying a weighted strongly elliptic condition in which different directions may have different weights.
In the union's complicated voting system, the votes of different delegates have different weights.
These are naturally occurring variants of elements, which share the same chemical properties but have different weights because their nuclei contain different numbers of neutrons.
A cup of gluten-free flour and a cup of wheat flour will have different weights, but gram for gram, they act the same.
Different sorts of viruses have different weights, but all viruses of a particular type weigh the same amount.Dr Craighead created his tiny scales from crystals of silicon.
Classical strategy resembled a game of chess in this respect: the pieces might have different weights and potential, but there were rules, breached occasionally but still observed, if only for the sake of convenience.
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In this article, motivated by a work of Caffarelli and Cordoba in phase transitions analysis, we prove new weighted anisotropic Sobolev type inequalities where different derivatives have different weight functions.
It is shown in result that energy demands of different type have different weight in optimal capacities.
The results show that the optimum BWB designs have comparable planform shapes and TOGW of approximately 860,000 lb, but have different weight distributions.
They do have different weight in their philosophical argumentation, however, since only establishing that conceptual dependence does not have a foundation is sufficient for establishing the absence of svabhāva in the comprehensive sense intended by the Madhyamaka philosophers.
Our findings show that strong and persistent ties suffer less from those bursty patterns, indicating that those ties might have different weight in evaluating how to share our time [22, 38].
More suggestions(13)
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com