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On algebraic methods

2018
In which we put together all the facts in algebra coming to our mind for further use. We apologize for the kaleidoscopic outcome.
Caroline Gruson, Vera Serganova
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Computational Methods in Commutative Algebra and Algebraic Geometry

1998
This ACM volume deals with tackling problems that can be represented by data structures which are essentially matrices with polynomial entries, mediated by the disciplines of commutative algebra and algebraic geometry. The discoveries stem from an interdisciplinary branch of research which has been growing steadily over the past decade.
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Fuzzy inferences by algebraic method

Fuzzy Sets and Systems, 1997
The author gives a fuzzy measurement theory, which is more general than the measurement theory for classical and quantum systems. This approach is given in terms of \(C^*\)-algebras, proposing the identification ``measurement = inference'' as axiom. Several results are given in terms of fuzzy syllogisms for classical systems.
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Automating Algebraic Methods in Isabelle

2011
We implement a large Isabelle/HOL repository of algebras for application in modelling computing systems. They subsume computational logics such as dynamic and Hoare logics and form a basis for various software development methods. Isabelle has recently been extended by automated theorem provers and SMT solvers.
Walter Guttmann   +2 more
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Algebraic method for granular computing

2008 IEEE International Conference on Granular Computing, 2008
The ideas and principles of granular computing, i.e., problem solving with different granularities, have been studied in many fields. Granular computing is becoming an intriguing research direction for more and more researchers all over the world. For the further improvement of granular computing, it seems that we researchers need to do more researches
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Algebraic and Geometric Methods in Statistics

2009
This up-to-date account of algebraic statistics and information geometry explores the emerging connections between the two disciplines, demonstrating how they can be used in design of experiments and how they benefit our understanding of statistical models, in particular, exponential models.
P. GIBILISCO   +3 more
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Algebraic Methods in Evolutionary Genetics

Biometrical Journal, 1978
AbstractThis paper is a survey of some results obtained in evolutionary genetics by algebraical methods. The main topics: 1. Some special classes of algebras which arising in population genetics (stochastic, baric, BERNSTEINian, genetic etc.). 2. The BERNSTEIN'S problem and the stationary genetic structure. 3.
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Categorical Methods in Hopf Algebras

Applied Categorical Structures, 2006
The main idea behind many notions in Ring Theory and other disciplines can be formulated in a natural way in a categorical setting. For example, a natural way to introduce the notion of bialgebra is the following: bialgebra structures on an algebra A correspond bijectively to monoidal structures on the category of representations of A, such that the ...
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Contents and Methods of an Algebra Course

The Mathematical Intelligencer, 1965
This is a reprint of an address given by the author during the second Conference on Mathematical Education in South Asia in 1960, published by the Tata Institute of Fundamental Research. It contains the view of the author about a year's introduction to abstract algebra course for graduate students.
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Algebraic Methods in Quantum Informatics

2007
The paper presents and discuses several important problems and challenges of quantum informatics at which algebraic methods have been, or expect to be, very useful, or even of the key importance. Some of these problems came up quite naturally, at a very straightforward quantumization of the classical informatics concepts, models and problems ...
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