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.

The LSQR algorithm developed by Paige and Saunders (1982) is considered one of the most efficient and stable methods for solving large, sparse, and ill-posed linear (or linearized) systems. In seismic tomography, the LSQR method has been widely used in solving linearized inversion problems. As the amount of seismic observations increase and tomographic techniques advance, the size of inversion ...

We discuss the inversion of the gas profiles (ozone, NO3, NO2, aerosols and neutral density) in the upper atmosphere from the spectral occultation measurements.The data are produced by the ‘Global ozone monitoring of occultation of stars’ instrument on board the Envisat satellite that was launched in March 2002.The instrument measures the attenuation of light spectra at various horizontal paths...

Abstract We study the computational complexity of satisfiability problem and complement equivalence for complemented (orthocomplemented) modular lattices L classes thereof. Concerning a simple finite height, $$\mathcal {NP}$$ NP -hardness is shown both problems. Moreover, problems are to be polynomial-time eq...

Current research refers to videogames as a constant variable. However, games today are designed to be highly interactive and versatile: two players may be using the same videogame, but as a result of different using patterns, the game will not necessarily encompass the same content and gameplay. The current study examined the possible relationship between psychopathology and in-game playing pat...

A rather well-known aspect of French Stylistic Inversion is the impossibility of having a nominal object either precede or follow the inverted subject. A similar phenomenon is found in cases of French Stylistic Inversion with causative and perception verbs. The nominal subject of the infinitival complement can never appear with the inverted subject of the causative or perception verb. Both phen...

Equatorial/axial conversion in piperidine and phosphorinane with different substituents wereinvestigated with great details. Three possible routes, i.e. heteroatom inversion and two ring inversiontype were considered. Ring conversion can occur via two pathways one starts with ring flatteningfrom the heteroatom site (nitrogen in piperidine and phosphorous in phosphorinane) and the otherinitiates...

the application of energy absorbing systems in the structures are one of the main methods in attenuation of earthquake effects. in this paper, the vibration control of structures by using of tube inversion systems is considered. in this novel system, the energy is dissipated by the inversion of a metal tube. this energy dissipater has large energy absorbing capacity along with constant stiffnes...

The present article deals with differential equations with spectral parameter from the point of view of formal power series. The treatment does not make use of the notion of eigenvalue, but introduces a new idea: the spectral residue. The article focuses on second-order, self-adjoint problems. In such a setting every potential function determines a sequence of spectral residues. This correspond...