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(i a minimal point of if ; (ii)a weakly minimal point of if ; (iii)a maximal point of if ; (iv a weakly maximal point of if.
Let x* be a maximal point of (X, ≼), then x* ≼ Tx*.
(1)a point is called a minimal point of if ; is the set of all minimal points of ; (2)a point is called a maximal point of if ; is the set of all maximal points of ; (3)a point is called a weakly minimal point of if ; is the set of all weakly minimal points of ; (4 a point is called a weakly maximal point of if ; is the set of all weakly maximal points of.
Moreover, the results of Col III expression analysis in left ventricle show that, at protein level, an increase (P > 0.05) during pregnancy reaching a maximal point of expression in late pregnancy is observed (LP group increased 1.6-fold versus NP group; see Figure 3).
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He showed that (Q, ≼*) has a maximal point which is exactly the maximal point of (X, ≼) and hence each Caristi-type mapping has a fixed point.
An element is said to be a minimal (resp., maximal) point of if (resp., ).
An element is said to be a weakly minimal (resp., weakly maximal) point of if (resp., ).
In order to find an optimized point at which delay is minimized (and consequently throughput maximized), it is necessary to find the maximal point of above equation by taking first derivative and equating it to zero.
Maximal point of fat oxidation.
Here, and denote the sets of minimal point of and maximal point of, respectively.
Here, and denote the sets of weakly minimal point of and weakly maximal point of, respectively.
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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