Sentence examples for discuss the proof of from inspiring English sources
We discuss the proof of Theorem 3 in Section 6.2.
Let us briefly discuss the proof of this proposition.
We describe a selection of key experiments performed in bio-imaging with CXDI from synchrotron sources, and we discuss the proof-of-principle experiments performed at FLASH at DESY in Hamburg.
The results allow us to discuss the "proof-of-principle" by which Pol-β-targeted compounds enhance the efficacy of TMZ.
For the sake of simplicity, we will only discuss here the proof of correctness of the algorithm, in terms of Equation 23, where s 1=s i and ({varepsilon }_{infty downarrow }^{text {in}}=V_{{b}}(s_{i})) (Lemma 1).
When subcarrier k is in state 3, as discussed in the proof of Lemma 1, we can still improve R ũn k by decreasing the interfering powers of subcarrier k in cell n′ while keeping the minimum user rate of cell n′ non-decreased.
Hence, using a coupling argument as discussed in the proof of Theorem 4.3.5 in [16], we find that there exists a probability space supporting two processes with distributions equivalent to the Poisson process and the Markov chain component such that the Poisson process dominates the second process for all paths.
As discussed in the proof of Lemma 5, there is a simple script from α to w which either starts with a mutation of α or its duplication.
Discussing as in the proof of Theorem 5.1, the remaining conclusion is achieved.
We cannot, unfortunately, discuss the details of the proofs here but would like to indicate that the epsilon-substitution method did not die with Hilbert's program, and that a significant amount of current research is carried out in epsilon-formalisms.
