The explicit solution x n t , $x_{n}\left (t\right ) ,$ = 1,2, of the initial-values problem is exhibited a subclass autonomous system 2 coupled first-order ODEs with second-degree polynomial right-hand sides, hence featuring 12 priori arbitrary (time-independent) coefficients: ̇ c 1 + 3 4 5 6 . $$ \dot{x}_{n}=c_{n1}\left( x_{1}\right)^{2}+c_{n2}x_{1}x_{2}+c_{n3}\left( x_{2}\right)^{2}+c_{n4}x_{...

Sparse approximate inverse (SPAI) preconditioners are effective in accelerating iterative solutions of a large class of unsymmetric linear systems and their inherent parallelism has been widely explored. The effectiveness of SPAI relies on the assumption of the unknown true inverse admitting a sparse approximation. Furthermore, for the usual right SPAI, one must restrict the number of non-zeros...

Previous research supported that the prevalence of addiction is related to brain laterality. Brain laterality is often determined by left/right handedness and this phenomenon is considered as an important factor in addiction prevalence. The present study attempts to examine the relationships between left/right handedness with addiction and smoking on Iranian population. In this study, 2000 male...

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The one-dimensional Schrodinger equation is considered when the potential and its rst moment are absolutely integrable. The potential is uniquely constructed in terms of the scattering data consisting of the re ection coe cient from the right (left) and the knowledge of the potential on the right (left) half line of the real axis. Hence, neither the bound state energies nor the bound state nor...

The normal Doppler effect has well-established applications in many areas of science and technology. Recently, a few experimental demonstrations of the inverse Doppler effect have begun to appear in negative-index metamaterials. Here we report an experimental observation of the zero Doppler effect, that is, no frequency shift irrespective of the relative motion between the wave signal source an...

In this paper, we have characterized graph structures connected with some algebraic properties. Also, paper is actually the concatenation of theory and algebra. We introduced left right inverse graphs antiautomorphic property loops. there a connection between bipartite mathematical structures, commutator subloop, associator associative part, nucleus loop, through edge labeling.

The aim of this paper is to study certain quasivarieties of left ample monoids. Left ample monoids are monoids of partial one–one mappings of sets closed under the operation α 7→ αα−1. The idempotents of a left ample monoid form a semilattice and have a strong influence on the structure of the monoid; however, a left ample monoid need not be inverse. Every left ample monoid has a maximum right ...