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From the proof of application (3.2), it is easy to verify that is averaged, so, is also averaged.
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The field has rapidly progressed from the proof-of-principle phase to actual applications, and gene expression profiling is now being used in screening for toxicity of new and existing chemical compounds.
All of these come together within the shared framework of the design build test cycle of synthetic biology, which in the coming years will move many of the examples indicated in this review from the proof-of-concept stage to wide-spread application in the pharmaceutical industry.
The proof follows from the proof of Lemma 2. □.
Proof The proof is obvious from the proof of Theorem 4 and Theorem 7.
From the proof of Step 2, (3.28).
From the proof of Theorem 4 we can see that the periodicity of genes does not enter the proof.
proof From the proof of Theorem 1, the error dynamics of the whole system is exponentially stable at the origin.
These discoveries provided the proof-of-concept evidences for the application of P27 inhibition in cancer treatment, especially with MLN4924.
Finally, the methodology used here provides the proof of concept for the application of this library in screening other types of diaminopeptidases or for the direct comparison of enzyme orthologs from different organisms.
Proof The proof of Theorem 12 follows from the proofs of the previous theorems verbatim.
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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