After the seminal paper [BPZ] of Belavin, Polyakov and Zamolodchikov, conformal field theory has become by now a large field with many remarkable ramifications to other fields of mathematics and physics. A rigorous mathematical definition of the “chiral part” of a conformal field theory, called a vertex (= chiral) algebra, was proposed by Borcherds [Bo] more than ten years ago and continued in ...

We present algorithms for computing the probablity density function of the sum of two independent discrete random variables, along with an implementation of the algorithm in a computer algebra system. Some examples illustrate the utility of this algorithm. c © 2004 Elsevier Science Ltd. All rights reserved. Keywords—Computer algebra systems, Convolution, Probability.

We show that certain resource optimization problems relative to Timed Event Graphs reduce to linear programs. The auxiliary variables which allow this reduction can be interpreted in terms of eigenvectors in the (min,+) algebra. Keywords—Resource Optimization, Timed Event Graphs, (max,+) algebra, spectral theory.

The objectives of this study were to do inexpensive lamellar body count (LBC) in amniotic fluid, to do statistical analysis to evaluate cutoff values for fetal lung maturity (FLM) and fetal lung immaturity (FLI), to derive a threshold for obtaining a lecithin-to-sphingomyelin (L/S) ratio and phosphatidylglycerol percentage (%PG), and to determine the potential cost savings to the hospital if th...

STUDY DESIGN Level I trauma center case series. OBJECTIVE The purpose of this study was (i) to characterize the floating lateral mass (FLM) fracture with the mechanism of injury, anatomical injury pattern, associated vascular injuries, neurological deficits, and key radiographic features; and (ii) to better understand the most effective method of treatment. SUMMARY OF BACKGROUND DATA An unc...

A generalization of the Kauffman tangle algebra is given for Coxeter type Dn. The tangles involve a pole of order 2. The algebra is shown to be isomorphic to the Birman-Murakami-Wenzl algebra of the same type. This result extends the isomorphism between the two algebras in the classical case, which, in our set-up, occurs when the Coxeter type is An−1. The proof involves a diagrammatic version o...

Flexible link manipulators (FLM) are widely preferred in applications that require faster operation, high maneuverability, and less energy consumption. However, their flexibility is associated with undesired vibrations which makes accurate positioning challenging. As most of the existing controllers model-based, performances affected by uncertainties, often feedback all states. This such contro...

Fluid flow and solute transport in the subsurface are known to be strongly influenced by the heterogeneity of aquifers. To simulate aquifer properties, such as logarithmic hydraulic conductivity (lnðKÞ) variations, fractional Brownian motion (fBm) and truncated fractional Levy motion (fLm) were suggested previously. In this paper, an efficient three-dimensional successive random additions (SRA)...

It is well known that free Boolean algebra on n generators isomorphic to the of functions variables. The distributive lattice monotone In this paper we introduce concept De Morgan function and prove Keywords: Antichain, function, algebra.