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You'll find the best provider for every given ingredient, and if you can gain an edge by fussing with those ingredients, you will.
Then for every given, we have (4.5).
For every given and any, set with for Thus, is a decreasing sequence.
This shows that System (3.10 - 3.12) possesses an unique stationary solution for every given initial value in the space H.
t ∈ [ y ] in D implies F ( x, t ) ∈ [ F ( x, y ) ] in U, for every given x ∈ C. .
For every given i ∈ I and x i ∈ X i, let x = ( y ˆ i ˆ, x i ) ∈ X.
It begins with a relative small α and then increases it for every given amount of iterations.
In particular, we prove that, for every given norm, there are arbitrarily small perturbations of it for which the minimum is attained.
Although the exact derivative assures the accurate sensitivity, it is cumbersome to take differentiation in an exact manner for every given type of finite element.
In this paper, we study the system requirement for a completion to be strongly feasible and determine the strongest implementable completion for every given fairness notion.
Replacement: For every given definable function with domain a set $A$, there is a set whose elements are all the values of the function.
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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