General semifinite factor representations of the diffeomorphism group of euclidean space are constructed by means of a canonical correspondence with the finite factor representations of the inductive limit unitary group. This construction includes the quasi-free representations of the canonical commutation and anti-commutation relations. To establish this correspondence requires a non-linear fo...

This paper presents an efficient Optical Character Recognition (OCR) system for offline isolated Pashto characters recognition. Developing OCR handwritten character recognition is a challenging task because of the vary both in shape and style most time also among individuals. The identification inscribed letters becomes even palling due to unavailability standard database. For experimental simu...

in this paper we give some general results on the non-splitextension group $overline{g}_{n} = 2^{2n}{^{cdot}}sp(2n,2), ngeq2.$ we then focus on the group $overline{g}_{4} =2^{8}{^{cdot}}sp(8,2).$ we construct $overline{g}_{4}$ as apermutation group acting on 512 points. the conjugacy classes aredetermined using the coset analysis technique. then we determine theinertia factor groups and fischer...

We construct actions for (p, 0)-and (p, 1)-supersymmetric, 1 ≤ p ≤ 4, two-dimensional gauge theories coupled to non-linear sigma model matter with a Wess-Zumino term. We derive the scalar potential for a large class of these models. We then show that the Euclidean actions of the (2, 0) and (4, 0)-supersymmetric models without Wess-Zumino terms are bounded by topological charges which involve th...

The questions of how to test hypotheses of character evolution, and incorporate character evolution into phylogenetic analysis are considered in this thesis. When a character transformation series is not linear, it is usually decoded into a set of binary characters by various binary coding methods. The disadvantages of such an approach have been discussed extensively in the literature. We propo...

in a previous paper, the second author established that, given finite fields $f < e$ and certain subgroups $c leq e^times$, there is a galois connection between the intermediate field lattice ${l mid f leq l leq e}$ and $c$'s subgroup lattice. based on the galois connection, the paper then calculated the irreducible, complex character degrees of the semi-direct product $c rtimes {rm gal} (e/f)$...

In this work, we introduce the TESLACELAB metric (Translation Evaluation of Sentences with Linear-programming-based Analysis – Character-level Evaluation for Languages with Ambiguous word Boundaries) for automatic machine translation evaluation. For languages such as Chinese where words usually have meaningful internal structure and word boundaries are often fuzzy, TESLA-CELAB acknowledges the ...