In this paper an algorithm is presented for the regularization of singular integrals with any degrees of singularity, which may be employed in all three-dimensional problems analyzed by Boundary Elements. The integrals in Boundary Integrals Equations are inherently singular. For example, one can mention the integrals confronted in potential problems to evaluate the flow or the gradient of the f...

Abstract A monomeric sensor, TagRFP-23-Ultramarine (TR-23-U), for effector caspase-3 was obtained. The overlap integrals of new pairs red fluorescent protein TagRFP with four chromoproteins were calculated. state the Ultramarine and TR-23-U sensor confirmed by gel filtration chromatography dynamic light scattering. Incubation showed possibility using fusion as a FRET apoptosis detection.

The discrete variable representation (DVR) basis is nearly optimal for numerically representing wave functions in nuclear physics: Suitable problems enjoy exponential convergence, yet the Hamiltonian remains sparse. We show that one can often use smaller basis sets than with the traditional harmonic oscillator basis, and still benefit from the simple analytic properties of the DVR bases which r...

By using Poisson's summation formula, we calculate periodic integrals over Gaussian basis functions by partitioning the lattice summations between real and reciprocal space, where both sums converge exponentially fast with a large exponent. We demonstrate that can be performed efficiently to two-center various kernels including overlap, kinetic, Coulomb. The in space is an efficient flavor of M...

D-branes provide a simple framework for embedding semi-realistic chiral gauge theories within String Theory. Some of these stringy setups admit a higher dimensional field theory description in terms of open string wavefunctions. These play a role analogous to vertex operators in CFT, allowing to compute 4d low energy observables in terms of overlap integrals. In this contribution we briefly rev...

In this paper we consider Selberg-type square matrices integrals with focus on Kummer-beta types I & II integrals. For generality of the results for real normed division algebras, the generalized matrix variate Kummer-beta types I & II are defined under the abstract algebra. Then Selberg-type integrals are calculated under orthogonal transformations.