In this article, we will show the complex inversion formula for the inversion of the L2-transform and also some applications of the L2, and Post Widder transforms for solving singular integral equation with trigonometric kernel. Finally, we obtained analytic solution for a partial differential equation with non-constant coefficients.

AVO studies have enjoyed a mixed success rate in predicting the existence of hydrocarbons in sediments. Sometimes AVO predictions are accurate, but other times they can be quite wrong. It seems likely that the success rate might increase if more sophisticated AVO methods could be employed such as full wave inversion. In fact elastic wave equation inversion has been applied to seismic data with ...

For decades, chromosomal inversions have been regarded as fascinating evolutionary elements as they are expected to suppress recombination between chromosomes with opposite orientations, leading to the accumulation of genetic differences between the two configurations over time. Here, making use of publicly available population genotype data for the largest polymorphic inversion in the human ge...

Structural health monitoring techniques have become increasingly important to the Navy of the 21st century whose strategy is to emphasize advanced designs and new material technologies in its modern high performance structures while utilizing existing aging structures beyond their planned lifetimes. At the same time, the Navy would like to reduce manning levels on Naval platforms, reduce time i...

We investigate the effect of structure-preserving perturbations on the solution to a linear system, matrix inversion, and distance to singularity. Particular attention is paid to linear and nonlinear structures that form Lie algebras, Jordan algebras and automorphism groups of a scalar product. These include complex symmetric, pseudo-symmetric, persymmetric, skewsymmetric, Hamiltonian, unitary,...

B-trees and their variants are efficient data structures for finding records in a large collection (e.g., databases). The efficiency of B-trees increases when a number of users can manipulate the tree simultaneously. Many algorithms have been developed over the last three decades to achieve both concurrency and consistency in B-trees. However, current lock-based concurrency-control techniques l...

A list of 270 structures of ordered co-crystals of isomers, near isomers and molecules that are almost the same has been compiled. Searches for structures containing isomers could be automated by the use of IUPAC International Chemical Identifier (InChI™) strings but searches for co-crystals of very similar molecules were more labor intensive. Compounds in which the heteromolecular A···B intera...