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Conway base 13 function
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Conway base 13 function : ウィキペディア英語版
Conway base 13 function
The Conway base 13 function is a function created by British mathematician John H. Conway as a counterexample to the converse of the intermediate value theorem. In other words, even though Conway's function ''f'' is ''not'' continuous, if ''f''(''a'') < ''f''(''b'') and an arbitrary value ''x'' is chosen such that ''f''(''a'') < ''x'' < ''f''(''b''), a point ''c'' lying between ''a'' and ''b'' can always be found such that ''f''(''c'') = ''x''. In fact, this function is even stronger than this: it takes on every real value in each interval on the real line.
==The Conway base 13 function==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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