Abstract For which infinite cardinals $\kappa $ is there a partition of the real line ${\mathbb R}$ into precisely Borel sets? Work Lusin, Souslin, and Hausdorff shows that can be partitioned $\aleph _1$ sets. But other than this, we show spectrum possible sizes partitions sets fairly arbitrary. example, given any $A \subseteq \omega with $0,1 \in A$ , forcing extension in ${A = \{ n :\, \text ...

The ALEPH collaboration has recently reported a significant excess of fourjet events at the LEP 1.5 and LEP 2 experiments. While not yet confirmed by the other collaborations, i t was recently proposed that this excess may be explained by certain R-parity violating operators in supersymmetric models. R-parity violating operators introduce the danger of inducing rapid proton decay. I discuss how...

A preliminary search for neutral Higgs bosons is performed in the data collected by ALEPH in 1999, corresponding to integrated luminosities of 29.0 and 69.5 pb −1 at centre-of-mass energies of 191.6 and 195.6 GeV respectively. No evidence for a signal is found. Combined with the lower energy ALEPH data, this observation leads to a 95% confidence level lower mass limit of 98.8 GeV/c 2 for the St...

ABSTRACT In the present paper we evaluate a general integral involving the product of the extension of the Hurwitz-Lerch Zeta function, product of two ,Bessel functions, multivariable Aleph-function Jacobi polynomial, the multivariable I-function defined by Prasad [4] and general class of polynomials of several variables. The importance of the result established in this paper lies in the fact t...

This paper presents a case study in which an Inductive Logic Programming (ILP) technique is applied to natural language processing. Aleph, an ILP system, is used to induce differences among documents. A Case-Based Reasoning (CBR) system is proposed for the purpose of compiling the background knowledge inputted into Aleph. In the CBR system, lexical and syntactic information concerning words in ...

ABSTRACT In the present paper we evaluate a finite integral with involving the product of sequence of functions, a logarithm function of general argument, elliptic integral of first species, product of two multivariable Aleph-functions and general class of polynomials of several variables. The importance of the result established in this paper lies in the fact they involve the Aleph-function of...

We introduce a high-level synthesis methodology to automatically synthesize asynchronous circuits from a concurrent language called ALEPH. ALEPH is a high-level concurrent algorithmic specification that can model complex concurrent control flow, logical and arithmetic computation, and communication. This specification is translated into a Petri net which has actions. These actions are refined t...