Sentence examples for integration range from inspiring English sources

The closed-form solution for the hydraulic head, derived for the radial groundwater flow equation subject to the constant-head boundary condition at the wellbore, is in an integral form that covers an integration range from zero to infinity.

In order to integrate Eq. (10), in the left of equation, dt, the integration range is from 0 to τ; in the right of equation, dR, the integration range is from R x (the limited radius of separated coal particle) to R1 (the radius of CDRS cylinder).

(Note that for the Pareto model the integration range in the above is from to.) By solving the integral in (19) for both exponential and Pareto models, we come up with a closed form expression for as (20).

The peak integration range is typically 0.40 Hz.

However, in their method, the Fourier integration range is too narrow to evaluate the Fourier coefficients precisely and to discuss in detail the P1 values obtained from them.

Finally, the use of appropriate 'smart' biomaterials is critical for cell-based therapy, to enhance cell delivery, host integration, range of function, and long-term recovery.

However, different forms of governance can be adopted to pursue integration, ranging from the pure market to the hierarchy.

In summary, it shared a similarity in the spatial configuration of Lampang, global integration ranges from 0.44 to 1.32 while local integration ranges from 0.33 to 2.98.

Northern clusters (Lpn B) attach to axial lines where a value of Global integration ranges from 1.11 to 1.24.

South east clusters (Lpn A) attach to axial lines where a value of Global integration ranges from 0.82 to 1.01.

In summary, global integration ranges from 0.33 to 1.197, Local integration ranges from 0.33 to 3.46, these group of high integration also create ring-like shape inside the boundary and outer rim of this group is shown low integration ring of axial line (see Fig. 6).