although allameh majlisi has not intended to write a distinct ethical book on ethics or to present a coherent moral system in various volumes of behar al-anwar, but we can deduce a comprehensive ethical system through examination of the different discussions he has made about different  verses and traditions. this deduced ethical system not only emphasizes the role of reason in explaining the t...

In this paper we consider parametric ideals and introduce a notion of comprehensive involutive system. This notion plays the same role in theory of involutive bases as the notion of comprehensive Gröbner system in theory of Gröbner bases. Given a parametric ideal, the space of parameters is decomposed into a finite set of cells. Each cell yields the corresponding involutive basis of the ideal f...

A concussion is a relatively common sports-related injury that affects athletes of all ages. Although not expected to replace sports medicine physicians and neurologists with regard to the management of concussions, orthopaedic surgeons, particularly those who are fellowship-trained in sports medicine, must have a current knowledge base of what a concussion is, how a concussion is diagnosed, an...

We prove an automorphic analogue of Deligne's conjecture for symmetric fourth L-functions Hilbert modular forms. extend the result Morimoto [41] based on generalization and refinement results Grobner Lin [18] to cohomological irreducible essentially conjugate self-dual cuspidal representations GL2 GL3 over CM-fields.

Equipping machines with comprehensive knowledge of the world's entities and their relationships has been a long-standing goal AI. Over last decade, large-scale bases, also known as graphs, have automatically constructed from web contents text sources, become key asset for search engines. This machine can be harnessed to semantically interpret textual phrases in news, social media tables, contri...

The first Gröbner basis algorithm was constructed by Buchberger in 1965; thus it bears his name to this day – Buchberger’s algorithm.[9] Though Buchberger’s algorithm looks relatively simple, it can take a very large amount of time. The step that creates 0 h via a normal form calculation is computationally very difficult. This is particularly frustrating (and wasteful) if the normal form calcul...

Let M (f) denote the midpoint rule and T (f) the trapezoidal rule for estimating ∫ b a f(x) dx. Then Simpson’s rule = M (f) + (1 − )T (f), where = 3 . We generalize Simpson’s rule to multiple integrals as follows. Let Dn be some polygonal region in R; let P0; : : : ; Pm denote the vertices of Dn, and let Pm+1 equal the center of mass of Dn. De4ne the linear functionals M (f) =Vol(Dn)f(Pn+1), wh...

For a class of cubic differential systems, Kukles established necessary and sufficient conditions for the existence of a centre. This paper presents a particular system that shows that either Kukles' conditions are incomplete, or the multiplicity of the origin as a focus is greater than or equal to 9. The second author described in [6] a mechanical procedure based on Poincare's classic method, ...