Sentence examples for integrating from zero from inspiring English sources

Multiplying Eq. (3) by the kernel of Laplace transform, exp ( − s x ) with Re ( s ) > 0 and integrating from zero to infinity, we have s 2 F ( s ) − s y ( 0 ) − y ′ ( 0 ) + 2 b [ s F ( s ) − y ( 0 ) ] + ( a 2 + b 2 ) F ( s ) = G ( s ), where F ( s ) = ∫ 0 ∞ e − s x y ( x ) d x and G ( s ) = ∫ 0 ∞ e − s x f ( x ) d x.

The radioactivity concentration vs time curves were fitted using the software SAAM II (The Epsilon group, Charlottesville, VA, USA) and integrated from zero to infinity to calculate the time-integrated activity per unit mass.

And, I will substitute, and I will integrate from zero to 2pi.

The model of the display cabinet is developed at steady state and integrated from three main component sub-models, air-cooling finned-tube evaporator, air curtain and display cabinet body.

Similarly, Lee worked on a two-stage system, integrated from two single-stage systems (Lee et al. 2013, 2014), and also showed an enhancement in the flow rates.

Gene expression data on tumor cell lines, primary tumors and normal tissues were integrated from ten independent studies, all based on the Affymetrix HG-U95Av2 array platform (see Methods) (Table 1).

The protein interaction data (D) was integrated from five databases (see Supplementary Material).

To facilitate this investigation, we constructed a dataset integrated from three independent works [ 1- 3].

First, the interactions were integrated from three data sources, which are target prediction, experimentally-supported interactions and microarray data.

Human protein-protein interaction data was integrated from three sources: BioGrid http://thebiogrid.org[ 44], HPRD http://www.hprd.org[ 45] and REACTOME http://www.reactome.org[ 46].

Primary data on lincRNAs were first integrated from three published studies on maize, consisting of 1704 high-confidence lncRNAs, 439 lincRNAs, and 664 putative maize lncRNAs [ 20– 20].