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Conway's base 13 function

Conway's base 13 function is a mathematical function created by British mathematician John H. Conway as a counterexample to the converse of the intermediate value theorem. In other words, it is a function that satisfies a particular intermediate-value property — on any interval ( a , b ) {\displaystyle (a,b)} , the function f {\displaystyle f} takes…

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Mathematical functionMathematicianJohn H. ConwayCounterexampleConverse
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Real numberBase 13
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Fractional partBase-10
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Conway's base 13 function

Nodes22
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Triples2
Avg. degree1.91
Density0.090909
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Conway's base 13 function

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Conway's base 13 function → example of a simple-to-define function which takes on every real value in every interval, mathematical function created by British mathematician John H

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displaystyle function base-13 number interval conway's every property 13 conway point value example real base satisfies digits symbols representation tridecimal

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Conway's base 13 functionis amathematical function created by British mathematician John H0.90text
Conway's base 13 functionis aexample of a simple-to-define function which takes on every real value in every interval0.90text

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