Sentence examples for integral developed from inspiring English sources
For example, Jack Ng and van Dam applied the neutrix calculus, in conjunction with the Hadamard integral developed by van der Corput, to the quantum field theories, in particular, to obtain finite results for the coefficients in the perturbation series.
The J2 line integral, developed for mechanical loads by Khandelwal and Chandra Kishen [Khandelwal, Chandra Kishen, J.M., 2006. Complex variable method of computing Jk for bi-material interface cracks. Engineering Fracture Mechanics 73, 1568 1580] is extended to thermal loading.
In this paper, we introduce a modified form of the correlation integral developed by Grassberger and Procaccia referred to as the partial correlation integral, which can be computed in real time.
The surface integrals developed for solving the viscous flow, and thereby the motion of the massless membrane, are evaluated using an O(NlogN) particle-mesh Ewald (PME) approach.
A numerical method using a path-independent H-integral based on the conservation integral was developed to analyze the singular stress field of a three-dimensional interfacial corner between anisotropic bimaterials under thermal stress.
Among a large number of the fractional integral operators developed, due to applications in many fields of sciences, the Riemann-Liouville fractional integral operator and Hadamard fractional integral operator have been extensively investigated.
Moreover, an integral model developed for pressure drop in different flow fields of the die.
The integral average, developed in [2], leads to improved solutions with monotone and reduced amplitude temporal oscillations.
The dispersion energy between a solute and solvent in the CPCM is calculated using a surface integral approach developed by Floris and Tomasi [41].
The key points are the choice of appropriate test functions, the method of iteration and the integral tests developed by Ladyzhenskaya and Ural'tseva, see [1].
This work presents an integral tool developed by the authors to address budget technical design and communication with providers and customers.
