Warped products provide a rich class of physically significant geometric objects. Warped product construction is an important method to produce a new metric with a base manifold and a fibre. We construct compact base manifolds with a positive scalar curvature which do not admit any non-trivial quasi-Einstein warped product, and non compact complete base manifolds which do not admit any non-triv...

We propose a novel hybrid metric learning approach to combine multiple heterogenous statistics for robust image set classification. Specifically, we represent each set with multiple statistics – mean, covariance matrix and Gaussian distribution, which generally complement each other for set modeling. However, it is not trivial to fuse them since the mean vector with d-dimension often lies in Eu...

We investigate simulation hemi-metrics between certain forms of turnbased 2 1 2 -player games played on infinite topological spaces. They have the desirable property of bounding the difference in payoffs obtained by starting from one state or another. All constructions are described as the special case of a unique one, which we call the Hutchinson hemi-metric on various spaces of continuous pre...

This paper describesan automated method for extracting and detecting amphetamine and some related primary amines in urine. In the technique the color reaction given by primary amines with 2,4,6-trinitrobenzene sulfonicacidisused,and is sufficiently sensitive to detect the excretion of therapeutic doses of amphetamine. Samples of 4 ml of urine may be analyzed at a rate of 20 samples per hour, an...

A method for measuring inter-sym cycle distortion, random jitter a described. The Blackman-Tukey method of s This allows the application of jitt ensure compliance to data communic Note: Mathematical analysis and have been performed. The autocorre FFT for clock jitter analysis have be current product. A provisional paten filed.

We analyze the operator product expansion Tμν(z)W [C] in N = 4 4-dimensional Super-Yang-Mills(SYM) theory with U(N) gauge group, and clarify that the closed Wilson loop does not possess an anomalous dimension and that only the shape of the loop is changed by the conformal transformation.

Let us begin with some motivation and consider a continuous irreducible representation ρ with trivial determinant of the absolute Galois group GF (of a number field F ) into GL(2,C) which is icosahedral, i.e., whose image in PGL(2,C) is the alternating group A5. Then it is well known that ρ is rational over K = Q[ √ 5], but not equivalent to its Galois conjugate ρ under the non-trivial automorp...

Earlier work showed that the Caenorhabditis elegans gene mec-8 encodes a regulator of alternative RNA splicing and that mec-8 null mutants have defects in sensory neurons and body muscle attachment but are generally viable and fertile. We have used a genetic screen to identify five mutations in four genes, sym-1-sym-4, that are synthetically lethal with mec-8 loss-of-function mutations. The phe...