Sentence examples for utilizing the definition of from inspiring English sources

Exact(3)

Since u n = T r n x n, by utilizing the definition of T r n, we obtain ∑ i = 1 N a i F i ( T r n x n, y ) + 1 r n 〈 y − T r n x n, T r n x n − x n 〉 ≥ 0, ∀ y ∈ C, (3.4).

Finally, by utilizing the definition of incomplete gamma function (i.e., (gamma left (alpha,xright){triangleq int _{0}^{x}}t^{alpha -1}e^{-t}dt)), we obtain P_{out}=frac{1}{left N-1right)!}gammaleft(N,frac{zetaleft({sigma_{z}^{2}}+sigma_{eta}^{2}right)}{2psi}right) (57).

"Alchemy" reflects this more conservative take on abstraction by offering viewers a more instantaneous understanding: utilizing the definition of alchemy, as well as the history of the practice, to construct the lead- and gold-colored lines that form the letter "A".

Similar(57)

Now utilizing the definitions of strict pseudocontraction and strong accretivity, we obtain (1.13).

The main package is tomocomd.cardd.qubils which contains the packages descriptors, matrices, metrics and workers that encapsulate the main concepts utilized in the definition of the QuBiLS-MAS MDs.

A five degree change was utilized as the definition of responder due to the minimal detectable change values produced using the above described measurement technique.

After filtering of mappings to tRNA and rRNA genes and to putative mRNAs (inside CDS, sense direction), the potential sRNA fraction from the library 1 (primary transcripts enriched) was utilized for the definition of sRNA transcript starts.

The predictive values (PV) for different prevalence rates could be calculate using specific formulas: PPV = SEtest × Prevalence/ SE test X Prevalence) + (1-SP test) × (1-Prevalence) and NPV = SP test × (1-Prevalence)/ 1-SE test) × Prevalence+ SP test X (1-Prevalence) Othe parameter utilized for the definition of teh accuracy of a laboratory tests is a ROC curve.

A total of 22,263 scQTLs including 11,476 local-scQTLs and 10,787 distant-sQTLs were recovered for 20,049 sc-traits utilizing the same definitions of local- and distant-QTLs.

Throughout this paper, we will utilize the definitions given above.

We spoke with Fricke and Magidson to find out how they filmed in dozens of locations, utilized the highest definition of filming equipment, and sculpted a vivid yet elusive narrative from what they captured.

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