one aspect of self-knowledge is consisted of interaction between soul and actions, ethics and knowledge. according to sadrā's opinion, soul is united with its acquired knowledge and long-term dispositions. the main principles of the theory include:nivocal of entity, (principality of existence) and its gradation) substantial motion of soul,identity of the knower and the known,bodily conting...

introduction: the current research seeks to evaluate the framework of the mentioned endeavors through the survey of the quality of the web pages of iran's medical universities and the existence of their organizational metalinks. methods: in this descriptive study, 40 web pages of the iran's medical universities were studied. the existence of the web pages, the type of the library soft wares, th...

We present a computer assisted proof of existence of a family of Lyapunov orbits which stretches from L2 (the collinear libration point between the primaries) up to half the distance to the smaller primary in the Jupiter-Sun planar circular restricted three body problem. We then focus on a small family of Lyapunov orbits with energies close to comet Oterma and show that their associated invaria...

We describe a set of algorithms (and corresponding codes) that serve as a basis for an automated proof of existence of a certain dynamical behaviour in a given dynamical system. In particular it is in principle possible to automatically verify the presence of complicated dynamics using these tools. The Hénon map is used to illustrate these techniques.

In 1970, E. M. Andreev published a classification of all three dimensional compact hyperbolic polyhedra having non-obtuse dihedral angles [3]. Given a combinatorial description of a polyhedron, C, Andreev’s Theorem provides five classes of linear inequalities, depending on C, for the dihedral angles, which are necessary and sufficient conditions for the existence of a hyperbolic polyhedron real...

We determine the periodic cyclic homology of the Iwahori-Hecke algebras Hq, for q ∈ C∗ not a “proper root of unity.” (In this paper, by a proper root of unity we shall mean a root of unity other than 1.) Our method is based on a general result on periodic cyclic homology, which states that a “weakly spectrum preserving” morphism of finite type algebras induces an isomorphism in periodic cyclic ...

according to imam khomeini, based on the verses of the holy quran, salvation is equally bound to the two important principles of, knowledge and behavior, in the meantime salvation is influenced by his concept of monotheism. self-purification, virtuosity and submition only to god symbolize mere servitude which in imam’s opinion is the route to salvation dismissing whatever alien to god and alleg...

The thesis explores three different topics: tilings of the integers, vanishing sums of roots of unity, and cyclotomic arrays, which are all closely intertwined. On tilings of the integers, we prove two existence results for level semigroups and three different lower bounds on tiling periodicities. On vanishing sums of roots of unity, we solve an open problem of H.W. Lenstra [33]. On cyclotomic ...

A mathematical model of a within-host viral infection with explicit age-since-infection structure for infected cells is presented. A global analysis of the model is conducted. It is shown that when the basic reproductive number falls below unity, the infection dies out. On the contrary, when the basic reproductive number exceeds unity, there exists a unique positive equilibrium that attracts al...