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They have been used to derive some elementary formulations in the form of some high-frequency asymptotes valid for frequencies higher than the successive coincidence frequencies of the plate.
Lilly is studying a one-a-week formulation of Prozac for chronically depressed patients.
The coefficients of thermal expansion of the laminate in longitudinal (y) direction, αll, and in transverse (x) direction, αtl, are found to be equal to 19.40 × 10− 6 C−1 and 19.77 × 10− 6 C−1, respectively, with the help of elementary formulations related to composites and laminates (Bhat and Narayanan 2014).
This theory can be considered as an elementary extension of the plane theory of elasticity and it retains the simplicity of the two-dimensional formulation.
This national reflex is an elementary rule of French politics.
Use the elementary chain theorem to find an elementary extension of A that sits on top of this chain.
We say that A is an elementary substructure of B, and B is an elementary extension of A, if A is a substructure of B and the inclusion map is an elementary embedding.
It's immediate from the definitions that an elementary extension of an elementary extension of A is again an elementary extension of A. Elementary embeddings are natural maps to consider within first-order model theory.
We give here an elementary direct proof of this result.
It was an early formulation of his blank-spots idea.
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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.

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CEO of Professional Science Editing for Scientists @ prosciediting.com