Sentence examples for and the integrating from inspiring English sources

Firstly, we have characterized the second-order nonlinear ordinary differential equations, and this characterization is given by the coefficients of the equation and also determines the first integral, the λ-symmetry, and the integrating factor.

Muriel and Romeo [11] prove that the equations of the form (1.1) have the first integrals of the form (1.2), λ-symmetries, and the integrating factors (mu=A t,x)).

Table 4 shows the calculation of this integral by Monte Carlo and quasi-Monte Carlo method, and the integrating error is calculated.

In addition, we detected two copies of complete sequences of PERV integrated into the genome (Table S17 in Additional file 1). Figure 4B shows the evidence of the integration of a copy of PERV in the middle of the assembled scaffold, and the integrating points were well supported by paired-end reads.

Firstly, we examine the first integrals in the form (A t,x dot{x}+B t,x)), the corresponding exact solutions and the integrating factors.

Thirdly, the integrator speed has been made dependent of the signal change, in order to decrease the response time for slow lenses and reduce the phase relation between the progressive and the integrating part.

The inset shows the FWHM and the integrated intensity as a function of the CL thickness.

FWHM and the integrated intensity ratios between 2- and 1-ML s−1 grown samples for GaAsSb, GaAsN, and GaAsSbN CLs.

The inset shows the FWHM and the integrated intensity as a function of the CL growth rate.

One is the pulse model, such as the model of McCulloch and Pitts [8] and the integrate-and-fire model.

Randomly selected dendritic segments were carefully traced, and the integrated intensity and area were determined for each segment.