The Michelsen stability and multiphase flash calculation by direct minimization of Gibbs free energy of the system at constant temperature and pressure, was used for systems containing gas hydrates. The solid hydrate phase was treated as a solid solution. The fugacities of all components of the hydrate phase were calculated as a function of compositions by the rearranged model of van der Wa...

Glycyrrhizin(GL), is a triterpenoid saponin found in glychyrrhiza glabra (liquorice). This compound is a frequently used and very effective drug for the treatment of various malignancies. This study was designed to examine the interactions of glycyrrhizin with calf thymus DNA in aqueous solution at physiological conditions. FTIR spectroscopic method was used to determine the ligand binding mode...

We prove that the best constant in the general Brascamp–Lieb inequality is a locally bounded function of the underlying linear transformations. As applications we deduce certain very general Fourier restriction, Kakeya-type, and nonlinear variants of the Brascamp–Lieb inequality which have arisen recently in harmonic analysis.

From a classical point of view, there are no arguments capable of completely explaining the stability and the size of galaxies: the only assumption is that they are considered to be relaxed (and virialized) systems where gravity is the overall interaction [1]. Such a force is considered as a “Newtonian” interaction and the confining potentials, due to the mutual attractions of stars (and the ot...

We introduce a new model of algorithmic tile self-assembly called size-dependent assembly. In previous models, supertiles are stable when the total strength of the bonds between any two halves exceeds some constant temperature. In this model, this constant temperature requirement is replaced by an nondecreasing temperature function τ : N → N that depends on the size of the smaller of the two ha...

Stability analysis in compliant mechanism (CM) design is of utmost importance. From a practical point of view, a CM that is unstable is of no significance (has no practical value). Three useful plots were considered in the evaluation of each of the dynamic models of nine configurations of compliant constant-force compression mechanisms (CCFCMs) for their stability characteristics, which include...

We show that a polarised manifold with a constant scalar curvature Kähler metric and discrete automorphisms is K-stable. This refines the K-semistability proved by S. K. Donaldson.

In this paper, linear stability analysis of non-prismatic beam resting on uniform Winkler-Pasternak elastic foundation is carried out based on Eringen's non-local elasticity theory. In the context of small displacement, the governing differential equation and the related boundary conditions are obtained via the energy principle. It is also assumed that the width of rectangle cross-section varie...

We give criteria for the existence of smooth bifurcation branches of fixed boundary CMC surfaces in R, and we discuss stability/instability issues for the surfaces in bifurcating branches. To illustrate the theory, we discuss an explicit example obtained from a bifurcating branch of fixed boundary unduloids inR.

Problem 1.1. Given a metric group (G,·,d), a positive number ε, and a mapping f : G→ G which satisfies the inequality d( f (xy), f (x) f (y)) ≤ ε for all x, y ∈ G, do there exist an automorphism a of G and a constant δ depending only on G such that d(a(x), f (x)) ≤ δ for all x ∈G? If the answer to this question is affirmative, we say that the equation a(xy) = a(x)a(y) is stable. A first answer ...