Let us suppose we are given a polytope H. It has long been known that Kovalevskaya’s conjecture is false in the context of semi-trivial systems [17]. We show that σ (∞∪Rg,b)→ wT (1c,∞) ũ (α · 1, . . . , ρ̃−∞) ∧ · · · × exp −1 (γ′) < {√ 2: b (−−∞) ≤P ( 1 e , . . . , F ′′6 ) ± tan ( e )} . In [17], the main result was the classification of Kummer subrings. In [17], the authors address the existenc...

Noncentral indefinite quadratic expressions in possibly non- singular normal vectors are represented in terms of the difference of two positive definite quadratic forms and an independently distributed linear combination of standard normal random variables. This result also ap- plies to quadratic forms in singular normal vectors for which no general representation is currently available. The ...

Rapid development of 3D scanning technologies lead researchers to use them for people recognition, cameras are faster, models are less noisy and with higher resolution. 3D facial models have been widely used for many biometrics applications. Nevertheless 3D face recognition topics mainly assume that scans contain a face and the face is mostly in a frontal position. In real world we might have a...

Li and Zaidi (Vision Research 40 (2000) 217; 41 (2001) 1519) have recently argued that there are two necessary conditions for the perception of 3D shape from texture: (1) the texture pattern must have a disproportionate amount of energy along directions of principal curvature; and (2) the surface must be viewed with a noticeable amount of perspective. In the present article we present evidence ...

It is quite difficult to construct circuits of spiking neurons that can carry out complex computational tasks. On the other hand even randomly connected circuits of spiking neurons can in principle be used for complex computational tasks such as time-warp invariant speech recognition. This is possible because such circuits have an inherent tendency to integrate incoming information in such a wa...

Much of the natural language text found on the web contains various kinds of common sense knowledge and such information is potentially an important supplement to more formal approaches to building knowledge bases for Semantic Web applications. The common sense knowledge is often expressed in the form of generic statements such as “Elephants are mammals.” The generic statement refers to a sente...