Sentence examples for utilizing the definition from inspiring English sources

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".

All blood cultures obtained from patients admitted to the ICU were reviewed by the infection preventionist and all suspected CLA-BSI were confirmed by an epidemiologist/infectious diseases physician utilizing the definition put forth by the CDC through the NHSN [ 22].

By utilizing the definitions, the power spectral density relations for the OLCT filter are derived.

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

That said, we can utilize the definition put forth by Gerry Joyce for NASA: Life is a self-sustaining system capable of Darwinian evolution.

As an improvement step towards a holistic approach to this emerging field, BSD practitioners can utilize the definition presented in this work by revising it according to their research objectives;   3.

As an improvement step towards a holistic approach to this emerging field, BSD practitioners can utilize the definition presented in this work by revising it according to their research objectives; By providing a comprehensive list of BSD types we aim to inform researchers about categories of data that is currently available for research and analysis.

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

Macro-cluster entity in the repository is utilizing the same definition and attributes.