In this paper, the interface crack of two non-homogenous functionally graded materials is studied. Subsequently, with employing the displacement method for fracture of mixed-mode stress intensity factors, the continuous variation of material properties are calculated. In this investigation, the displacements are derived with employing of the functional graded material programming and analysis o...

Objective: In order to evaluate the endometrium by ultrasound in patients undergoing controlled ovarian hyperstimulation (COH) with clomiphene citrate (CC) and human menopausal gonadotropin (HMG) with intrauterine insemination (IUI) to determine the relationship between endometrial pattern and thickness on pregnancy rate (PR). Methods: In this prospective study, 108 infertile couples under...

A numerical study of 3D electrokinetic flows through micromixers was performed. The micromixers considered here consisted of heterogeneous rectangular microchannels with prescribed patterns of zeta-potential at their walls. Numerical simulation of electroosmotic flows within heterogeneous channels requires solution of the Navier-Stokes, Ernest-Plank and species concentration equations. It is kn...

Let X be a finite graph, with edges colored and possibly oriented, such that an oriented edge and a non-oriented one cannot have same color. The universal Hopf algebra H(X) coacting on X is in general non commutative, infinite dimensional, bigger than the algebra of functions on the usual symmetry group G(X). For a graph with no edges Tannakian duality makes H(X) correspond to a Temperley-Lieb ...

We show that there is a unique correlated equilibrium, identical to the unique Nash equilibrium, in the classic Bertrand oligopoly model with homogenous goods and identical marginal costs. This provides a theoretical underpinning for the socalled “Bertrand paradox” as well as its most general formulation to date. Our proof generalizes to asymmetric marginal costs and arbitrarily many players in...

P. Mason McClatchey, Michal Schafer, Kendall S. Hunter, Jane E. B. Reusch 5 6 7 Division of Endocrinology, University of Colorado Anschutz Medical Campus, Aurora, 8 Colorado USA 9 10 Department of Medicine, Denver VA Medical Center, Denver, Colorado USA 11 12 Department of Bioengineering, University of Colorado Anschutz Medical Campus, Aurora, 13 Colorado USA 14 15 Division of Cardiology, Depar...