Exact(5)
The varying size version sharply reduces the number of elements compared to the uniform version and thus reduces the time to generate the mesh while keeping the same fidelity.
As additional states adopt Revised Article 8, Treasury will provide notice in the Federal Register as to whether the enactments are "substantially identical" to the uniform version for purposes of these regulations and on an annual basis, the Commentary will be amended to reflect subsequent enactments.
We are interested in the uniform version of this Hamiltonian with nominal parameters (U_{i}=U^{0}), for all i and (t_{ij} = t^{0}), for all i, j.
The uniform version of this property is as follows: X is uniformly convex [17] if for each (varepsilon>0), there exists (delta>0) such that Vert uVert le1,qquad Vert vVert le1,qquad Vert u-vVert gevarepsilon quad impliesquad frac{1}{2}Vert u+vVert le 1-delta.
We are interested in the uniform version of this model with (B^{0}_{i}=B^{0}) and (J^{0}_{i}=J^{0}) for all i; however, when this model is simulated by an AQS, the actual values of (B_{i}) and (J_{i}) may fluctuate around these nominal values.
Similar(55)
In fact, the more uniform version of the quasi-orthogonal cubed-sphere grids provided better overall accuracy than the most orthogonal (and therefore, much less uniform) conformal grid.
We also study a uniform version of the Dixmier property, as satisfied for example by von Neumann algebras and the reduced C⁎-algebras of Powers groups, but not by all C⁎-algebras with the Dixmier property, and we obtain necessary and sufficient conditions for a simple unital C⁎-algebra with unique tracial state to have this uniform property.
The uniform sampled version of a continuous-time signal x t) with the sampling period T is x T t = x t ∑ n = - ∞ ∞ δ t - nT, where δ(t) is the unit impulse function, or Dirac delta function.
We make a detailed study of the CC-condition (a sufficient condition for WH-systems to have finite upper frame bounds) and show that (for ab rational) a uniform version of this passes to the Wexler Raz dual.
Likewise, we prove that if A⊂L X,C 2N)) is a set of operators whose adjoints have separable range and is analytic in the strong operator topology then there is a Banach space Z with separable dual such that every T∈A factors through Z. Finally we prove a uniform version of this result in which we allow the domain and range spaces to vary.
We define a uniform version of analytic K-homology theory for separable, proper metric spaces.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com