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Markov Bases and Designed Experiments,s in applied statistics. In fact, their work became one of the origins of the relatively new field, computational algebraic statistics. In this chapter, we first introduce their work along with the necessary background in statistics. After that, we use the theory of Gröbner bases to solve actual applied statistical problems in experimental design.

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September 11, 2001 as a Cultural Trauma, Buchberger criterion and Buchberger algorithm. In Sect. 1.3 the groundwork of these two items are studied. Now, to read Sects. 1.1–1.3 is indispensable for being a user of Gröbner bases. Furthermore, in Sect. 1.4, the elimination theory, which is effective technique for solving simultaneous equati

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https://doi.org/10.1007/978-1-349-21355-9 between the initial ideals of toric ideals and triangulations of convex polytopes, and the related ring-theoretic properties. Finally, we will consider the examples of configuration matrices that arise from finite graphs or contingency tables, and we will use them to verify the theory stated above.

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,Convex Polytopes and Gröbner Bases, between the initial ideals of toric ideals and triangulations of convex polytopes, and the related ring-theoretic properties. Finally, we will consider the examples of configuration matrices that arise from finite graphs or contingency tables, and we will use them to verify the theory stated above.

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Examples and Exercises, bases. We will use computer algebra systems, statistical software systems, and some expert systems for polytopes and toric ideals; this covers several areas related to the theory and applications of Gröbner bases.

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What Does Proteomics Tell Us About Schizophrenia?,ad to the establishment of the illness. The comparative proteomic analysis of human brain tissue from schizophrenia patients and healthy controls using methods as two-dimensional gel electrophoresis and shotgun mass spectrometry may lead to the identification of disease-related proteins that will he

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Ethics and Climate Change Policyofoundly ., and .. What, then, does climate change demand of economists, as human beings and as professionals? A discipline of economics based on Enlightenment notions of mechanism and disembodied rationality is not suited to present problems. This essay suggests three major requirements: first, tha