Sentence examples for integral with different from inspiring English sources
The problem contains two fractional Hahn difference operators and a fractional Hahn integral with different numbers of order.
Our problem contains three fractional Hahn difference operators and a fractional Hahn integral with different numbers of (q, omega) and order, which is a new idea.
Our problem contains three fractional Hahn difference operators and a fractional Hahn integral with different numbers of (q, omega) and order.
This integration technique is especially designed for the fast and accurate evaluation of several domain integrals, with different integrands, over a single domain.
For a large scale computation problem such as the wave interaction with a very large structure or a large number of bodies, the BEMs with the FMM and pFFT accelerations are discussed, respectively, including the principles of the FMM and the pFFT, and their implementations in various integral equations with different Green functions.
In addition, we obtain related Eisenstein integrals, but with different normalizations.
In order to verify the effectiveness of the proposed approach, the method is applied to cracked plates in mode I with a straight-through crack and a quarter-elliptical corner crack, validating J-integral results with different reference solutions.
In Table 1, we list the approximates of the integral using (2.50) with different values of the actual errors incurred, and the error bounds deduced from (2.52).
Thus, an integral management system with different sensors to measure (mainly GNSS, interferometric SAR, accelerometer) and quantify the induced excitation (wind, traffic and even earthquakes etc).
The complete hardware architecture of the Grünwald-Letnikov (GL) differ-integral is realized with different memory window sizes.
The symmetric tensors with the same principally diagonal parts have the same tensor valued corotational integrals, but associated with different spin tensors, which depends on the principally off-diagonal part.
