This paper considers Schrödinger operators, and presents a probabilistic interpretation of the variation (or shape derivative) of the Dirichlet groundstate energy when the associated domain is perturbed. This interpretation relies on the distribution on the boundary of a stopped random process with Feynman-Kac weights. Practical computations require in addition the explicit approximation of the...

In this paper , an improved skew angle estimation technique is presented. Skew angle detection is an important part of any Optical Character Recognition (OCR) and document analysis system. The method considers the lowermost pixels of some selected characters of the text, which maybe subject to Hough transform for skew angle detection. A fast approach is also proposed which works almost as accur...

Skew deviation is a vertical strabismus caused by a supranuclear lesion in the posterior fossa. Because skew deviation may clinically mimic trochlear nerve palsy, it is sometimes difficult to differentiate the 2 conditions. In this review we compare the clinical presentations of skew deviation and trochlear nerve palsy and examine the pathophysiology that underlies skew deviation. We then descr...

In recent years, there has been considerable interest in showing that certain conditions on skew shapes A and B are sufficient for the difference sA − sB of their skew Schur functions to be Schur-positive. We determine necessary conditions for the difference to be Schur-positive. Our conditions are motivated by those of Reiner, Shaw and van Willigenburg that are necessary for sA = sB , and we d...

We develop a Bayesian approach for the selection of skew in multivariate skew t distributions constructed through hidden conditioning in the manners suggested by either Azzalini and Capitanio (2003) or Sahu, Dey and Branco (2003). We show that the skew coefficients for each margin are the same for the standardized versions of both distributions. We introduce binary indicators to denote whether ...

A skew-morphism of a finite group G is permutation σ on fixing the identity element such that product 〈 〉 with left regular representation forms . This called skew-product The was introduced as an algebraic tool to investigate Cayley maps. In this paper, we characterize skew-products skew-morphisms nonabelian characteristically simple groups (see Theorem 1.2 ) and corresponding maps 1.6 ).