Spherical t-designs are point sets XM := {x1, . . . ,xM} ⊂ S2 which provide quadrature rules with equal weights for the sphere which are exact for polynomials up to degree t. In this paper we consider the problem of finding numerical spherical t-designs on the sphere S2 for high polynomial degree t ∈ N. That is, we compute numerically local minimizers of a certain quadrature error At(XM ). The ...

For simplicity, we adopt the following rules: n denotes an element of N, X, X1 denote sets, r, p denote real numbers, s, x0, x1, x2 denote real numbers, S, T denote real normed spaces, f , f1, f2 denote partial functions from R to the carrier of S, s1 denotes a sequence of real numbers, and Y denotes a subset of R. The following propositions are true: (1) Let s2 be a sequence of real numbers an...

We have developed a sensitive and simple staining method for use in electrophoretic analysis of serum alpha-amylase (EC 3.2.1.1) isoenzymes. The principle of this method is as follows. alpha-Amylase hydrolyzes 4-nitrophenylmaltoheptaoside to generate oligosaccharide, which is then converted to gluconolactone in the presence of oligosaccharide dehydrogenase (no EC no. assigned), with concomitant...

Introduction: This study aims to determine the amount of hand-arm vibration transmitted from heavy electric destruction tools and the effect of using chisel with different lengths and shapes when demolishing concrete surfaces. Material and Methods: To evaluate the magnitude of hand-arm vibration on the left and right handles of two powerful electric demolition hammers commonly applied in Irani...

λx.S ◦A instead of λx.(A[S]) S ◦ λx.A instead of (λx.A)[S] λx.S2 ◦ S1 ◦ A instead of λx.(A[S1][S2]) S2 ◦ λx.S1 ◦ A instead of (λx.A[S1])[S2] S2 ◦ S1 ◦ λx.A instead of (λx.A)[S1][S2] And so on. Far fewer parentheses. And very close to notation of category theory. If we have composition of substitutions (not in my calculus), then λx.(S2 ◦ S1) ◦ A means λx.(A[S1 ◦ S2]) From the point of view of ca...

944. Preparative and structural studies on sulfur-linked carborane icosahedra: 2-phenyl-ortho-carboranylsulfur systems (2-Ph-1, 2-C2B10H10)2X (X = S, S2 or SO), and ortho-carboran-di-yl systems (1, 2-C2H10H10Y)2 (Y = S or SO) A. S. Batsanov, W. Clegg, R. C. B. Copley, M. A. Fox, W. R. Gill, R. S. Grimditch, T. G. Hibbert, J. A. K. Howard, J. A. H. MacBride and K. Wade. Polyhedron 2006, 25, 300–...