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In this paper we generalize some basic applications of Gröbner bases in commutative polynomial rings to the non-commutative case. We define a non-commutative elimination order. Methods of finding the intersection of two ideals are given. If both the ideals are monomial we deduce a finitely written basis for their intersection. We find the kernel of a homomorphism, and decide membership of the imag
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Scholarship speech prepared for the AWAPATENT Foundation for the Promotion of Scientific Research in the Area of Intellectual Property Rights, Operaterassen Stockholm, Jan. 27th, 2009
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This paper explores market integration in Lao PDR, focusing on the beer market. At the time of analysis, the Lao beer market exhibited some highly unusual features that facilitate our exploration. Beer Lao, the domestic beer brand, was completely dominant in the market – importation of beer was not allowed, and informal (illegal) imports were of very limited importance. Beer Lao was produced in on
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Accurate modeling of electromagnetic wave propagation by means of ray tracing (RT) includes not only specular reflection, penetration through dielectric blocks and diffraction, but also diffuse scattering mechanisms. The accuracy, supported by a precise description of the environment, is achieved at a very high computational complexity. This computational complexity scales directly with the number
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In recent years, there has been growing interest in stabilized index reduction techniques for differential-algebraic equations (DAE) of multibody dynamics. A number of the proposals which incorporate the idea of a projection onto the constraint manifold are discussed. The methods are divided into classes based on whether the projection is performed on the residuals of the discretized DAE or on the