| Cryptography has generated number theory, algebraic geometry over finite fields, algebra, combinatorics and computers. |
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| The reason is a topic for another note, on the limitations of combinatorics in geometry. |
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| His early works range over number theory, statistics, combinatorics, game theory, as well as his principal interest of commutative algebra. |
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| The problems which attracted him most were problems in combinatorics, graph theory, and number theory. |
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| Is any computing unrelated to quantum computing now a pointless exercise in combinatorics? |
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| They worked on topics such as soluble groups, combinatorics, and matrix theory. |
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| His basic research contributions span complex analysis, mathematical physics, probability theory, geometry, and combinatorics. |
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| His interests were mainly in number theory and combinatorics, though they ranged into topology and other areas of mathematics. |
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| His work led to considerable activity in the new area of algebraic combinatorics. |
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| His thesis work combined algebra and combinatorics into the new field of matrix theory. |
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| A variety of applications to extremal combinatorics and computational complexity are discussed, in addition to a number of open problems. |
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| His major mathematical contributions are to finite field theory, number theory, and combinatorics. |
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| In particular he made contributions of major importance in the theory of polytopes, non-euclidean geometry, group theory and combinatorics. |
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| It has proved to be the computational method of choice for symbolic manipulation in algebraic geometry, differential equations, and combinatorics. |
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| In the first year they study the same discipline as arithmetic and combinatorics, full account or geometry. |
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| Instead, each problem requires its own logical analysis-this makes combinatorics a great field for finding interesting math puzzles. |
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| This triangle has an elementary use in probability and combinatorics, and both the series of triangular numbers and the Fibonacci series can be derived from it. |
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| For example, the collection of integers under addition is a group, and groups occur throughout mathematics from geometry to combinatorics to cryptography. |
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| Dr Chen developed a theory using context-free grammars as a model to enumerate exponential structures in combinatorics. |
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| Generating functions have numerous applications in mathematics, especially in combinatorics, probability theory, statistics, the theory of Markov chains, and number theory. |
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| The development of computer networks, with so many different codes and passwords, makes combinatorics one of the most important mathematical fields of our day. |
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| The enumerative combinatorics of a CW left regular band is like that of a hyperplane arrangement or an oriented matroid. |
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| Topics covered include coding theory, cryptology, combinatorics, finite geometry, algebra, and number theory. |
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| It was basically an application of combinatorics on a given set of concepts. |
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| In the process, Erdős who also worked in combinatorics, graph theory, and dimension theory published over 1,500 papers with more than 500 collaborators from around the world. |
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| The development of optimization techniques has paralleled advances not only in computer science but also in operations research, numerical analysis, game theory, mathematical economics, control theory, and combinatorics. |
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| During the next three decades he continued to do important work in combinatorics, partition theory, set theory, number theory, and geometry the diversity of the fields he worked in was unusual. |
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| For these reasons we are looking for a candidate with capacities in combinatorics of sequences, trees or graphs for biological structure analysis. |
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| These include three-dimensional geometry and topology, combinatorics of two-dimensional arrays, and the more recent area of computer science, whose roots reach back 500 years. |
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| Three surveys discuss ultraproducts of first order structures, set-theoretic aspects of ultrafilters, and connections with ergodic theory and combinatorics. |
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| After a chapter on history, material is arranged in three parts on combinatorics, probability, and graphs, each section introduced with an overview. |
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| In combinatorics unit conductances are of great interest because of the well-known relation between electrical networks and the number of spanning trees. |
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| His primary focuses are in harmonic analysis, PDE, geometric combinatorics, arithmetic combinatorics, analytic number theory, compressed sensing, and algebraic combinatorics. |
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| He is currently CEO and Managing Partner of Combinatorics Capital, a global macro hedge fund manager. |
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