Exact(8)
Therefore, B is partially compact in X.
Hence, (mathcal{Q}) is partially compact.
We next prove that B is partially compact in X.
Consequently, (widehat {A}_{2}: widehat{D}rightarrowwidehat{D}) is partially compact.
A mapping (Q: Xrightarrow X) is partially compact if (Q(C)) is relatively compact on X for all totally ordered sets or chains C of X.
Hence (A_{2}(C)) is uniformly bounded in E. By the Arzela-Ascoli theorem, (A_{2}: Drightarrow D) is partially compact.
Similar(52)
A is partially bounded and it is a partially nonlinear (mathcal{D} -contraction, B is partially continuous anD} -contractionpact, and.
Let (A, B: Xrightarrow X) be two nondecreasing operators such that: (a) A is partially bounded and it is a partially nonlinear (mathcal{D} -contraction, (b) B is partially continuous anD} -contractionpact, and (c) there exists an element (x_{0}in X) such that (x_{0}leq Ax_{0}+bx_{0}).
It is partially valid.
Another is "partially curtailed".
Worse, it is partially succeeding.
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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