Name: Nowhere Continuous Function
SKU: 66994902
Price: 162.73 EUR
Availability: InStock
ISBN: 9786131117886

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Publisher

Betascript Publishing

Language

English

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Paperback

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ISBN13

9786131117886

Nowhere Continuous Function

New Book Imported to Netherlands

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Synopsis "Nowhere Continuous Function"

High Quality Content by WIKIPEDIA articles! In mathematics, a nowhere continuous function, also called an everywhere discontinuous function, is a function that is not continuous at any point of its domain. If f is a function from real numbers to real numbers, then f(x) is nowhere continuous if for each point x there is an 0 such that for each 0 we can find a point y such that x y and f(x) f(y) . The import of this statement is that no matter how close we get to any fixed point, there are even closer points at which the function takes not-nearby values. More general definitions of this kind of function can be obtained, by replacing the absolute value by the distance function in a metric space, or by using the definition of continuity in a topological space.

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