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Discover Ludwig"approximations from" is a correct and usable phrase in written English
It can be used when talking about something that is not exact or precise, but still close to the actual value or information. Here is an example: "The student's test scores were only approximations from his true abilities, as he had been sick during the exam."
Exact(27)
Using the approximations from Appendix 1, Equation (10) can be approximated by Tps f ≈ ∑ R = 1 M F N - R e - 1 F / N 1 R ! · ∑ l = 1 S ( R ) P s l ( R ) · R s l sol ( R ). (28).
The research uses data and approximations from the year 1 CE until 2010.
In Part II, extensive comparisons are given with available experimental data and empirical approximations from the literature.
In this context, several recent approaches to obtain divergence-free velocity approximations from finite element simulations are discussed.
Our algorithm runs in time O N2) even with the SVD and releases the low-rank approximations from orthogonal matrices.
The set of all best approximations from x to A is denoted by P_{A}(x)=bigl{ y in A mid d x,y)=D x,A bigr}.
Similar(33)
Not a bad approximation from the Stoke-on-Trent punks, given that 1982's Hear Nothing … sounds like the third world war being forced through a stack of knackered, over-driven amps.
(this follows by approximation from (2.22)).
In this paper we present a method curve approximation from a given Lagrangian data set.
Moreover, the developed method is simpler than the Fock approximation from the computational point of view.
With the CLT approximation, from (8), this yields the following expression for the collision probability, (43).
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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