We consider convex quadratic programming problem with convex quadratic constraints and suggest a modification of the well-known ellipsoid method based on using an ellipsoidal layer in the problem of circumscribing the minimum volume ellipsoid around of a part of a given ellipsoid. Our paper contains further development and improvement of the technique previously developed in [E.G88]. We show ho...

In this paper, we present a new formulation for constructing an ellipsoid which generalizes the computation of the minimum volume covering ellipsoid, based on the CVaR minimization technique proposed by Rockafellar and Uryasev (2002). The proposed ellipsoid construction is formulated as a convex optimization and an interior point algorithm for the solution can be developed. In addition, the opt...

We reveal that under moderate shear stress (etagamma[over ] approximately 0.1 Pa) red blood cells present an oscillation of their inclination (swinging) superimposed to the long-observed steady tank treading (TT) motion. A model based on a fluid ellipsoid surrounded by a viscoelastic membrane initially unstrained (shape memory) predicts all observed features of the motion: an increase of both s...

1. Glycogen was studied in retinas of the chick (Gallus gallus), fixed in Gendre's fluid and stained by the periodic acid/Schiff method. In agreement with some of the earlier data on the subject, obtained with less suitable methods, glycogen was found in the paraboloid of accessory cones and in the characteristically shaped paraboloid of the rods. 2. Basiphilia, observable by means of the gallo...

We present a formalism to obtain equilibrium configurations of uniformly rotating fluid in the second post-Newtonian approximation of general relativity. In our formalism, we need to solve 29 Poisson equations, but their source terms decrease rapidly enough at the external region of the matter(i.e., at worst O(r−4)). Hence these Poisson equations can be solved accurately as the boundary value p...

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