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In discrete mathematics, Schur's theorem is any of several theorems of the mathematician Issai Schur. In differential geometry, Schur's theorem is a theorem of Axel Schur. In functional analysis, Schur's theorem is often called Schur's property, also due to Issai Schur. == Ramsey theory == In Ramsey theory, Schur's theorem states that for any partition of the positive integers into a finite number of parts, one of the parts contains three integers ''x'', ''y'', ''z'' with : Moreover, for every positive integer ''c'', there exists a number ''S''(''c''), called ''Schur's number'', such that for every partition of the integers : into ''c'' parts, one of the parts contains integers ''x'', ''y'', and ''z'' with : Folkman's theorem generalizes Schur's theorem by stating that there exist arbitrarily large sets of integers all of whose nonempty sums belong to the same part. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Schur's theorem」の詳細全文を読む スポンサード リンク
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