Sentence examples for and integrated using the from inspiring English sources

The equations were cast in one dimension (spherical symmetry) and integrated using the numerical algorithm group routine D03PSF.

The short range part is evaluated with direct summation and integrated using the fourth-order Hermite scheme (Makino and Aarseth 1992) with the block timesteps.

Future risk assessments for the water and sewage network owned and operated by Aguas de Manizales can explore the consideration of hazards of different origins (for example, flash floods, landslides, and volcanic ash fall), which can also be assessed and integrated using the same probabilistic methodological framework for the estimation of feasible losses explained in this study.

Raw data were collected for substrate heats of dilution in the buffer and integrated using the Microcal Origin software version 7.0 supplied with the instrument.

Integrated densities were derived from five diffraction orders (estimated spatial resolution <0.12 nm) by measuring the area under each diffraction peak separated and integrated using the software Peakfit (Seasolve).

Scattering images were calibrated and integrated using the Fit2D software.

In that sense we define and, where appropriate, use a unique operator with which we merge the operations of differentiating and integrating (using the unique symbol D ± m ) on the radius of the HC function.

The long-range part is evaluated with the tree code and is integrated using the leapfrog scheme with a shared timestep.

Images were un-warped and then integrated using the XRD plug-in for the APEX data collection suite (Bruker AXS, Madison, WI, USA).

AutoTutor and ALEKS were integrated using the SKOPE-IT system due to their complementary strengths.

Fatty acid methyl esters were identified by comparing retention times with those of standards (Sigma-Aldrich, St . Louis USA) and peaks were integrated using the Turbochrom 4.1 Software (Perkin Elmer, Norwalk, USA).