We provide a method for factoring all bounded ratios of the form det A(I1|I ′ 1) det A(I2|I ′ 2)/ det A(J1|J ′ 1) det A(J2|J ′ 2) where A is a totally positive matrix, into a product of more elementary ratios each of which is bounded by 1, thus giving a new proof of Skandera’s result. The approach we use generalizes the one employed by Fallat et al. in their work on principal minors. We also ob...

Chou, S.-L., J.-C. Lin and W.-H. Tsai, Fold principal axis—a new tool for defining the orientations of rotationally symmetric shapes, Pattern Recognition Letters 12 (1991) 109–115. A new type of principal axis, namely, fold principal axis, is introduced in this paper, which can be used to define the orientations of rotationally symmetric shapes. A given shape is first transformed into a new sha...

The 30-item version of Izard's Differential Emotions Scale (DES-III) was submitted to an iterative principal factoring plus oblique (direct Oblimin) rotation to simple structure, on a sample of 204 University of Delaware undergraduates. The intercorrelation matrix for the eight primary emotional-state factors derived, was subsequently subjected to a higher-order factoring. Four second-order fac...

We describe an attack on the RSA cryptosystem when the private exponent d is chosen to be ’small’, under the condition that a sufficient amount of bits of d is available to the attacker. The attack uses a 2-dimensional lattice and is therefore (in the area of the keyspace where it applies) more efficient than known attacks using Coppersmith techniques. Moreover, we show that the attacks of Wien...

Introduction ‘Dark Triad’ is a constellation of three conceptually distinct but empirically overlapping personality variables. The members- Machiavellianism, narcissism and subclinical psychopathy – often show differential correlates share common core callous-manipulation. Objectives To validate an easy to use valid measurement for populations examining the 3 factors dark triad personality. Met...

A novel pose normalization method, based on panoramic views and reflective symmetry, is presented. Initially, the surface of a 3D model is projected onto the lateral surface of a circumscribed cylinder, aligned with the primary principal axis of space. Based on this cylindrical projection, a normals’ deviation map is extracted and using an octree-based search strategy, the rotation which optima...