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It is clear that strongly (resp. strictly) convex domains satisfy a version of Lemma 2.
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Thus mass nouns (or better, non-count nouns a more inclusive and also more precisely defined category), no more appear to satisfy a singularist version of the UAT than do plural nouns.
end{aligned}We can also define (lambda )-convex functions as those which satisfy a modified version of the above inequality: begin{aligned} F(x t))le (1-t)F(x 0))+tF(x(1))-lambda frac{t 1-t)}{2}d^2(x(0),x(1)).
To get existence in the large, i.e., for all time, we admit weak solutions which satisfy an integral version of (2.1) ∫ 0 ∞ ∫ - ∞ ∞ w t u + w x f u d x d t + ∫ - ∞ ∞ w x, 0 u 0 x d x = 0. (2.4).
The point spectrum of the adjoint of a subnormal operator which satisfies a generalized version of the Glauber Klauder formula is proved to be rich (in the above sense).
Restrictions are imposed on the strain energy function which ensure that the element satisfies a nonlinear version of the patch test.
To satisfy myself, I concocted a version of objective analysis sufficiently rigorous to help a fiction writer relax.
The few I've done, I've always felt weird and humiliated like I'm trying to satisfy someone by giving them a version of me that I think they want, instead of being who I really am and representing what I really believe.
The non-conservative weakly hyperbolic system that the magnetic vector potential satisfies is solved using a version of FD-WENO developed for Hamilton Jacobi equations.
A preference ordering must satisfy some version of the Independence axiom for it to be possible to represent it as maximising what is called an additively separable function; in particular, a function according to which the value (i.e., expected utility) of an option is a (probability weighted) sum of the values of its possible outcomes.
MR ELWOOD: The second...That if you know that you are placing someone in fear by what you are doing, that is enough to satisfy our version of— JUSTICE KAGAN: How about you just take it a step down more but not get to the government's.
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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