background: there is a fundamental correlation between follicles and endometrium in intracytoplasmic sperm injection (icsi) cycles. objective: to assess the relation between perifollicular perfusion and sub endometrial parameters in doppler ultrasonography and outcome of in icsi cycles. materials and methods: in this prospective deh1ive pilot study 10 patients were enrolled. strict inclusion cr...

We consider the 3-manifold invariant I(M) which is defined by means of the Chern-Simons quantum field theory and which coincides with the Reshetikhin-Turaev invariant. We present some arguments and numerical results supporting the conjecture that, for nonvanishing I(M) , the absolute value | I(M) | only depends on the fundamental group π1(M) of the manifold M . For lens spaces, the conjecture i...

We study observed correlations between supermassive black hole (BHs) and the properties of their host galaxies, and show that the observations define a BH “fundamental plane” (BHFP), of the form MBH ∝ σ3.0±0.3 R0.43±0.19 e or MBH ∝ M 0.54±0.17 ∗ σ 2.2±0.5, analogous to the FP of elliptical galaxies. The BHFP is preferred over a simple relation between MBH and any of σ, M∗, Mdyn, or Re alone at ...

Algebraic hyperstructures have many applications in various sciences. The main purpose of this paper is to provide a new application of weak hyperstructures in Chemistry. More precisely, we present three different examples of hyperstructures associated to electrochemical cells. In which we prove that our hyperstructures are Hv-semigroups and we present some interesting results.

The purpose of this paper is the study of Cayley graph associated to a semihypergroup(or hypergroup). In this regards first  we associate a Cayley graph to every semihypergroup and then we study theproperties of this graph, such as  Hamiltonian cycles in this  graph.  Also, by some of examples we will illustrate  the properties and behavior of  these Cayley  graphs, in particulars we show that ...

In this paper we will call this the fundamental algebra and the single relation will be called the fundamental relation or equation. This relation arises naturally from attempts to find representations of the braid group. Representations of the fundamental algebra as matrices can be used to define representations of the virtual braid group and invariants of virtual knots and links. In [BuF] we ...

The purpose of this paper is to define a new equivalence relation τ∗ on divisible hypergroups and to show that this relation is the smallest strongly regular relation (the fundamental relation) on commutative divisible hypergroups. We show that τ∗ ̸= β∗, τ∗ ̸= γ∗ and, we define a divisible hypergroup on every nonempty set. We show that the quotient of a finite divisible hypergroup by τ∗ is the tr...

Let $ { mathcal{R}} L$ be the ring of real-valued continuous functions on a frame $L$ as the pointfree  version of $C(X)$, the ring of all real-valued continuous functions on a topological space $X$. Since $C_c(X)$ is the largest subring of $C(X)$ whose elements have countable image, this motivates us to present the pointfree  version of $C_c(X).$The main aim of this paper is to present t...