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The Banach contraction principle applies to yield the solution's existence and uniqueness.
Of course it implies that (beta_{H} C t))=0) (so (C t)) is relatively compact) and then the Ascoli type theorem Lemma 5 applies to yield the relative compactness of C. Finally, the Mönch fixed point theorem asserts that the operator N possesses fixed points, which means that our evolution problem has (mathcal{L}^{infty} -solutions.
For (a), Lemma 4.9 applies to yield d q1, x1; N).
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Circular fingerprints can be applied to yield highly predictive (Q SAR models.
These results are next applied to yield various known results as special cases.
A neublizer was applied to yield E. coli bioaerosol at a controlled humidity of 72%.
Finally, hysteresis thresholding is applied to yield the output edge map.
In this work, the finite element method is first applied to yield discretized system equations.
Linearization and other simplifications are applied to yield the resulting linear time-invariant equations of motion.
The technique introduced in Section 5.4 can be applied to yield the following upper bound on d 3(L,r).
The design of multienzyme composition (MEC) was applied to yield a hydrolysate with adjusted properties, including minimized antigenicity and bitterness.
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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