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*BASIC* *DEFINITIONS*

"... eshghisharifedu Abstract It is shown that the quadratic graph Q k con sisting of cycles of length k has an valuation a stronger form of the graceful valuation for every positive integer k Fur thermore additional results are obtained from the main theorem of this paper ..."

Abstract
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eshghisharifedu Abstract It is shown that the quadratic graph Q k con sisting of cycles of length k has an valuation a stronger form of the graceful valuation for every positive integer k Fur thermore additional results are obtained from the main theorem of this paper

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*Basics* *Definitions*

"... Abstract. Today Finite Automata are used in several areas of economy and research, for example in language and text processing or E-Commerce. There are often automata with more than hundred thousand states. Minimization of such automata can only be done by classical minimization methods. But this do ..."

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Abstract. Today Finite Automata are used in several areas of economy and research, for example in language and text processing or E-Commerce. There are often automata with more than hundred thousand states. Minimization of such automata can only be done by classical minimization methods. But this doesn’t produce Minimal Finite Automata with output. A Transducer is a special Finite Automata that produces an output. One of the challenges is to test the equivalence of Transducers, this will be shown in this paper.

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*Basic* *definitions* *Definition*

, 2006

"... A topological space X is a Polish space if it is separable and ..."

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I. *BASIC* *DEFINITIONS* AND INTERPRETATIONS

"... Abstract — The extended versions of common Laplace and Fourier transforms are given. This is achieved by defining a new function fe(p), p 2 C related to the function to be transformed f (t), t 2 R. Then fe(p) is transformed by an integral whose path is defined on an inclined line on the complex plan ..."

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plane. The slope of the path is the parameter of the extended

*definitions*which reduce to common transforms with zero slope. Inverse transforms of the extended versions are also defined. These proposed*definitions*, when applied to filtering in complex ordered fractional Fourier stages, significantly###
1.1. *Basic* *definitions*.

, 2007

"... topics and examples of quasigroups. The following lectures then introduce the three main branches of quasigroup representation theory: characters, permutation representations, and modules. 1. Quasigroups ..."

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topics and examples of quasigroups. The following lectures then introduce the three main branches of quasigroup representation theory: characters, permutation representations, and modules. 1. Quasigroups

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1.1 *Basic* *definitions*

"... On the geometry and the deformation of shape represented by a piecewise continuous Bézier ..."

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On the geometry and the deformation of shape represented by a piecewise continuous Bézier

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1.1. *BASIC* *DEFINITIONS*

"... Abstract. Let G = (L; R; E) be a bipartite graph with color classes L and R and edge set E. A set of two bijections f'1; '2g, '1; '2: L [ R! L [ R, is said to be a 3-biplacement of G if '1(L) = '2(L) = L and E \ ' ..."

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Abstract. Let G = (L; R; E) be a bipartite graph with color classes L and R and edge set E. A set of two bijections f'1; '2g, '1; '2: L [ R! L [ R, is said to be a 3-biplacement of G if '1(L) = '2(L) = L and E \ '