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Another possibility for the treatment of the data is to perform a Principal Component Analysis (PCA) giving a representation on a plane (two axes) of the collected spectra (Figure 10).
I chose 77 with the idea of introducing Jaffee and giving a representation of his work".
Briefly, the distance between every possible pair of atoms in one chain of α from the α4β4 structure is subtracted from the same distance measured in the free α2 structure, giving a representation of how much the distances between pairs of atoms change between the two structures.
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Seidenfeld, Schervish, and Kadane (1995) give a representation theorem for preference that don't satisfy completeness.
We give a representation theorem for this postulate and prove that it is compatible with AGM and DP.
Given a representation of a relation algebra we construct relation algebras of pairs and of intervals.
Figure 1 gives a representation of the technical characteristics of the investigated C-Tech Esystemc Line implant system.
We give a representation of the class of Cullen-regular functions in split-quaternions.
In other words, (t mapsto V_t) gives a representation of the semigroup (mathrm {PT}(X)).
This lemma gives a representation for the solution of (1.1 - 1.2 1.1 - 1.2d that the solution exists.
This lemma will give a representation for the solution of (1), provided that the solution exists.
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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