Sentence examples for integrating them over from inspiring English sources

In fact, it is shown that other models are special cases of the model derived here when electrical conductivity is ignored and the aforementioned temporal functions are time-averaged by integrating them over the entire time spectrum.

Multiplying the first equation of system (1.3) by u and the second equation of system (1.3) by v, Integrating them over D, we have 1 2 d d t u 2 + v 2 + d u 2 + ∫ D σ ( x ) v 2 d x + ∫ D h ( x, u ) u d x + ∫ D f ( x, u, v ) u + g ( x, v ) v  d x = ∫ D k 1 ( x, u ) ω ( t ) u d x + ∫ D k 2 ( x, v ) ω ( t ) v d x.

This data was used to reconstruct the colour of each panel in the aligned multispectral images by integrating them over the measured filter response.

While sympathetic to the challenges that Spanish-speaking immigrants from places like El Salvador or the Dominican Republic face in adapting to this country, I reasoned as did others that somewhat of a laissez-faire approach was best -- expect immigrants to learn English and let the cultural and genetic mixmaster that is America do its work to integrate them over the long haul.

The model takes leaf-level models for convection, evapotranspiration, and radiative absorption/emission and integrates them over a discrete volume using the leaf angle probability distribution function.

Further, microbial data are currently available for discrete times and places [354]; integrating them meaningfully with species inventories over large spans of space and time is one of the great challenges, because it is through these small organisms that the range shifts resulting from human agency or global change are likely first to be perceived in the future.

They may need a portal capability around that and run all those pieces, integrate them, and then over time you retire some systems, put them all on the same version and get to a smaller footprint.

Integrating it over, we obtain.

Integrating it over, we obtain (4.50).

Integrating over,, we have that (3.23).

By integrating over, (3.16) implies that (3.21).