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The WP - Bailey Tree and its Implications

Mathematics – Combinatorics
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The YY game

Mathematics – Combinatorics
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The Zrank Conjecture and Restricted Cauchy Matrices

Mathematics – Combinatorics
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The Z_4-Linearity of Kerdock, Preparata, Goethals and Related Codes

Mathematics – Combinatorics
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The {-3}-reconstruction and the {-3}-self duality of tournaments

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Theorems for a Price: Tomorrow's Semi-Rigorous Mathematical Culture

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Theorems of Borsuk-Ulam type for flats and common transversals

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Theorems of Brion, Lawrence, and Varchenko on rational generating functions for cones

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Théorie Géométrique des Polynômes Eulériens

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Theory of Computation of Multidimensional Entropy with an Application to the Monomer-Dimer Problem

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Theory of dimension for large discrete sets and applications

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There are 1,132,835,421,602,062,347 nonisomorphic one-factorizations of $K_{14}$

Mathematics – Combinatorics
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There are exponentially many ternary words that avoid abelian cubes

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There are integral heptagons, no three points on a line, no four on a circle

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There are k-uniform cubefree binary morphisms for all k >= 0

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There are More Than 2**(n/17) n-Letter Ternary Square-Free Words

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There are no iterated morphisms that define the Arshon sequence and the $σ$-sequence

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There are only finitely many distance-regular graphs of fixed valency greater than two

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There are only finitely many distance-regular graphs with valency k at least three, fixed ratio k2/k and large diameter

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There exists no distance-regular graph with intersection array {55,36,11;1,4,45}

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