Algebraic Geometry
Algebraic Geometry of Phylogenetic Models.
... Phylogenetics is the field which seeks to untangle the evolutionary relationships between species. Researchers construct phylogenetic models designed to model the process of molecular sequence evolution and compare the ...
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Extremal and typical results in Real Algebraic Geometry
... random algebraic geometry, which goes under the name of square root law: for a large class of models of random systems, often related to the so called Edelman-Kostlan-Shub-Smale models [32, 74, 33, 50, 75, ...
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Classical Algebraic Geometry: A Modern View - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials
... in algebraic geometry which while having occupied the minds of many mathematicians in previous generations have fallen out of fashion in modern ...on algebraic cycles or in the work of ...of ...
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Computational Algebraic Geometry and Quantum Mechanics: An Initiative toward Post-Contemporary Quantum Chemistry
... “algebraic geometry” or “commutative ...motto algebraic ge- ometry and quantum ...However, algebraic geometry is originated from rather a primitive region of ...analytic geometry ...
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Diffusion Matrices from Algebraic-Geometry Codes with Efficient SIMD Implementation
... use algebraic-geometry codes [21], as they precisely offer this ...on algebraic curves; thus our proposal brings a nice connection between these objects and symmetric ...
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Numerical algebraic geometry: a new perspective on gauge and string theories
... ical algebraic geometry may be harnessed in various phenomenological contexts, especially in the identification of isolated extrema of potentials coming from het- erotic and M-theory ...of algebraic ...
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Algorithmic Algebraic Geometry and Flux Vacua
... We develop a new and efficient method to systematically analyse four dimensional effective supergravities which descend from flux compactifications. The issue of finding vacua of such systems, both supersymmetric and ...
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Algebraic Models of Robot Kinematics, Obtained by Using H – Geometry (Numerical Algebraic Geometry) MethodsDr. Donaldas Zanevicius
... Numerical Algebraic Geometry to Kinematics” they write about algebraic models of ...“Numerical Algebraic Geometry” was suggested by the authors in 1996 and discussed at various ...
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Exact Sums-of-Squares Certificates in Numeric Algebraic Geometry.
... [32] Reznick, B. Some concrete aspects of Hilbert’s 17th problem, Seminaire de Struc- tures Algbriques Ordonnes, (F. Delon, M.A. Dickmann, D. Gondard eds), Publ. quipe de Logique, Univ. Paris VII, Jan. 1996; revised ...
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On algebraic geometry over completely simple semigroups
... equations, algebraic sets and coordinate semigroups in the language L (S ′ ) are similar to the corresponding notions in the language L ...nonempty algebraic set ...
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Part of the Algebra Commons, Algebraic Geometry Commons, and the Theory and Algorithms Commons
... Section 3 contains many important results and definitions which will be used frequently throughout our discussion of Gr¨ obner bases and Buchberger’s Algorithm in Section 5. Here we disc[r] ...
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INTRODUCTION TO ALGEBRAIC GEOMETRY, CLASS 16
... Completion of dimension n regular local ring with this property (that the residue field is contained in ring) is isomorphic to k[[t 1 ,.. , tn]].[r] ...
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Matroids in Algebraic Statistics.
... using algebraic geometry to solve these types of ...the algebraic matroid underlying the variety of m × n matrices of rank at most ...the algebraic matroid underlying the variety of n × n ...
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Algebraic covers
... I thank everyone from the Department of mathematics in Coimbra where part of the thesis was written and I started learning mathematics. A special thanks to Jorge Neves for introducing me to Algebraic ...
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An algebraic characterisation of staged trees : their geometry and causal implications
... advanced algebraic techniques, as we have outlined above, and have not been the scope of this ...of Algebraic Statistics has over the past decade contributed a number of elegant links between formerly ...
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Algebraic Algorithms for LWE
... Gr¨obner bases. Gr¨obner bases are fundamental tools in commutative algebra and algebraic geometry. A Gr¨obner basis G for an ideal I in a polynomial ring is a basis such that any leading term of any ...
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Geometry without topology as a new conception of geometry
... any geometry) holds much ...informative geometry without using the curve concept (1.4). Such a geometry (T-geometry) has been constructed ...of geometry, its author did not think that ...
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New Practical Algebraic Public Key Cryptosystem and Some Related Algebraic and Computational Aspects
... The most popular present-day public-key cryptosystems are RSA and ElGamal cryptosystems. Some practical algebraic generalization of the ElGamal cryptosystem is considered-basic modular matrix cryptosystem (BMMC) ...
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Applications of Riemannian Geometry Comparing with Symplectic Geometry
... According to Einstein, matter is the cause of the gravitational field and the causative matter is described in his theory by a mathematical object called the energy-momentum tensor, which is coupled to geometry ...
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Notes on algebraic functions
... of algebraic functions is a classical branch of mathematics [6, ...7]. Algebraic functions play a very important role in the study of the integrability theory of ordinary differential equations [14, ...is ...
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