Sentence examples for proposed in the proof of from inspiring English sources
If (4.7) holds for each p ∈ Φ, then { ( GVQEP ) p : p ∈ Φ } is GTWP 2. Proof This proof is completed by using Lemma 4.2 and a similar argument proposed in the proof of Theorem 2.2 and is omitted.
First, most matrix methods proposed in the past were proof-of-concept demonstrations, and had failed to establish unambiguously their usefulness in real experimental scenarios.
Additional evidence to validate miRNA status that was proposed in the literature includes proof of processing to a mature form via Dicer, and conservation of the mature sequence and its precursor [ 31, 38].
In [6], Liang and Krause proposed the proof-of-concept system based on a sensor fusion approach, which was built with considerations for lower cost, and higher mobility, deplorability, and portability, by combining the drift velocities of anchor nodes.
The rest of this paper is organized as follows In Section 2, we describe the system model of the proposed DSTBC and the proof of decoupling capability in time domain and frequency domain.
PRHI is in the proof-of-concept phase of development.
In this section, we propose some definitions and lemmas used in the proof of the main results.
We observe that in the proof of their proposed results, (sum_{n=0}^{infty}|epsilon_{n+1}-epsilon_{n} | < infty) of the control condition (iii) can be removed using the NST-condition (II) [12] (see also [13, 14]).
We observe that in the proof of their proposed results, the sequence ({ xi_{n}}) may not converges to the zero, for instance if (A=I) and (rho_{n} = 2) for all (n=0,1,2,ldots ) then the sequence ({xi_{n}}) converges to the integer 1.
The proof is analogous to Step 2 in the proof of Theorem 6 in [ 38].
