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In short, the projection pursuit approach to PCA examines a finite subset of all possible directions of the data in the measurement space.
PA* is finitely consistent (i.e., every finite subset of PA* is consistent) hence consistent, hence by the Completeness Theorem it has a model.
Any finite subset of these sentences has a model.
A set Σ of sentences has a model [that is, an interpretation that makes it true] if any finite subset of Σ has a model.
For any given nonempty finite subset of.
for each nonempty finite subset of.
Let \((G, \cdot)\) be a group and \(S\) a finite subset of \(G\).
We change a finite subset of these numbers.
where (1.3). is a nonempty and finite subset of.
Then (mathcal{F}) is a finite subset of (mathcal{C}).
A set $\Gamma$ of formulas is satisfiable if, and only if, every finite subset of $\Gamma$ is satisfiable.
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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