Results 251 to 260 of about 396,223 (265)
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1988
A linear code C is called self-dual if C = C⊥. Clearly the rate of such a code is 1/2. Many authors have studied such codes and discovered interesting connections with invariant theory and with lattice sphere packings (cf. Mac Williams and Sloane, 1977, Ch. 19). Recently there has been interest in geometric Goppa codes that are self-dual.
Jacobus H. van Lint, Gerard van der Geer
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A linear code C is called self-dual if C = C⊥. Clearly the rate of such a code is 1/2. Many authors have studied such codes and discovered interesting connections with invariant theory and with lattice sphere packings (cf. Mac Williams and Sloane, 1977, Ch. 19). Recently there has been interest in geometric Goppa codes that are self-dual.
Jacobus H. van Lint, Gerard van der Geer
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2000
Most semidefinite programming algorithms found in the literature require strictly feasible starting points (X° ≻ 0, S° ≻ 0) for the primal and dual problems respectively. So-called ‘big-M’ methods (see e.g. [807]) are often employed in practice to obtain feasible starting points.
Etienne de Klerk +2 more
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Most semidefinite programming algorithms found in the literature require strictly feasible starting points (X° ≻ 0, S° ≻ 0) for the primal and dual problems respectively. So-called ‘big-M’ methods (see e.g. [807]) are often employed in practice to obtain feasible starting points.
Etienne de Klerk +2 more
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Journal of Information and Optimization Sciences, 1997
Abstract Interest in special sets of a symmetric design has been growing for a number of years. The purpose of this paper is to deal with sets of points which determine sets of blocks with the same incidence properties in the dual design.
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Abstract Interest in special sets of a symmetric design has been growing for a number of years. The purpose of this paper is to deal with sets of points which determine sets of blocks with the same incidence properties in the dual design.
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Reports on Mathematical Physics, 2009
In the first part of the paper, the author develops the self-dual formalism for electromagnetic fields in an isotropic, homogeneous, lossless chiral material endowed with the Post constitutive relations. The second part is devoted to self-dual fields in media with a permittivity variable in a direction.
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In the first part of the paper, the author develops the self-dual formalism for electromagnetic fields in an isotropic, homogeneous, lossless chiral material endowed with the Post constitutive relations. The second part is devoted to self-dual fields in media with a permittivity variable in a direction.
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2016
Exact results for locally isotropic and locally anisotropic self-dual media are discussed. Self-dual solutions are provided.
Andrei A. Snarskii +4 more
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Exact results for locally isotropic and locally anisotropic self-dual media are discussed. Self-dual solutions are provided.
Andrei A. Snarskii +4 more
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1998
In this chapter, we shall present some fundamental study on relatively self-dual codes over a finite commutative ring. Section 1.1 is devoted to the basic definitions and properties of such codes. In Section 1.2, we shall present our gluing technique for constructing relatively self-dual codes.
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In this chapter, we shall present some fundamental study on relatively self-dual codes over a finite commutative ring. Section 1.1 is devoted to the basic definitions and properties of such codes. In Section 1.2, we shall present our gluing technique for constructing relatively self-dual codes.
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1998
In this chapter, we shall present two gluing techniques for constructing self-dual lattices and concrete constructional examples. These techniques were developed in [Xl] and published in [X3]. In Section 2.1, we shall present basic definitions and Conway-Sloane’s gluing theory.
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In this chapter, we shall present two gluing techniques for constructing self-dual lattices and concrete constructional examples. These techniques were developed in [Xl] and published in [X3]. In Section 2.1, we shall present basic definitions and Conway-Sloane’s gluing theory.
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1980
In the course of their long review paper on H space1, E. T. Newman and his co-workers show that one can construct a self-dual solution of Maxwell’s equations by starting from an equation which is similar to the good cut equation. Their original construction depends on the properties of lt in an asymptotically flat space-time. However,. the argument can
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In the course of their long review paper on H space1, E. T. Newman and his co-workers show that one can construct a self-dual solution of Maxwell’s equations by starting from an equation which is similar to the good cut equation. Their original construction depends on the properties of lt in an asymptotically flat space-time. However,. the argument can
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