Observational consequences of a jet-driven supernova (SN) explosion model are presented. The results are compared in detail with optical observations of SN 1998bw associated with a Gamma-Ray Burst. It is shown that the jet model is able to reproduce virtually all the optical observations available for this SN, although a spherical model fails to explain some of observed features. Because of the...

In this paper we define $q$-spherical surfaces as the that contain absolute conic of Euclidean space a $q-$fold curve. Particular attention is paid to with singular points highest order. Two classes such surfaces, one and two $n-$fold points, are discussed in detail. We study their properties, give algebraic equations visualize them program {\it Mathematica}.

in this work, two parametric l-systems have been introduced to generate the figures of two series of nanostructures. these series consist of different spherical fullerenes with various number of carbon atoms. by specifying a parameter in each series a spherical fullerene can be determined. the members of the first series are c60 , c240 , c540 , c940 ,… which can be produced by applying paramete...

We prove that the D4 root system (equivalently, the set of vertices of the regular 24-cell) is not a universally optimal spherical code. We further conjecture that there is no universally optimal spherical code of 24 points in S, based on numerical computations suggesting that every 5-design consisting of 24 points in S is in a 3-parameter family (which we describe explicitly, based on a constr...

We use techniques of Bannai and Sloane to give a new proof that there is a unique (22, 891, 1/4) spherical code; this result is implicit in a recent paper by Cuypers. We also correct a minor error in the uniqueness proof given by Bannai and Sloane for the (23, 4600, 1/3) spherical code.

The two-case pattern recognition problem aims to find the best way of linearly separate two different classes of data points with a good generalization performance. In the context of learning machines proposed to solve the pattern recognition problem, the analytic center machine (ACM) uses the analytic center cutting plane method restricted to spherical shells. In this work we prove existence a...

The purpose of this literature review was to identify and describe recent empirical studies of childbirth education outcomes and to identify areas for further study. The search produced 63 studies; only 12 met the inclusion criteria. The literature demonstrated inconclusive evidence regarding the effectiveness of childbirth education. None of the studies used a theoretical framework that propos...

Let RsM denote the Singer construction on an unstable module M over the Steenrod algebra A at the prime two; RsM is canonically a subobject of Ps⊗M , where Ps = F2[x1, . . . , xs] with generators of degree one. Passage to A -indecomposables gives the natural transformation RsM → F2⊗A (Ps⊗M), which identifies with the dual of the composition of the Singer transfer and the Lannes-Zarati homomorph...

Quasi-Monte-Carlo methods are well-known for solving di erent problems of numerical analysis such as integration, optimization, etc. The error estimates for global optimization depend on the dispersion of the point sequence with respect to balls. In general, the dispersion of a point set with respect to various classes of range spaces, like balls, squares, triangles, axis-parallel and arbitrary...