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).
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).
Now utilizing the definitions of strict pseudocontraction and strong accretivity, we obtain (1.13).
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].
"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".
The second definition (21) leads to fast computation of the ST by utilizing the fast Fourier transform.
The generalized definition of the Jk-integral is recast into a domain independent form composed of line and area integrals by utilizing the constitutive relations of plane orthotropic thermoelasticity.
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Throughout this paper, we will utilize the definitions given above.
That said, we can utilize the definition put forth by Gerry Joyce for NASA: Life is a self-sustaining system capable of Darwinian evolution.
