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Volterras Function: Mathematics, Vito Volterra, Real Line, Differentiable, Bounded Function -

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2026-03-15
128,12 € 213,53 €

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High Quality Content by WIKIPEDIA articles! In mathematics, Volterra's function, named for Vito Volterra, is a real-valued function V(x) defined on the real line R with the following curious combination of properties:The function is defined by making use of the Smith-Volterra-Cantor set and "copies" of the function defined by f(x) = x2sin(1/x) for x ¿ 0 and f(x) = 0 for x = 0. The construction of V(x) begin ... Täielik kirjeldus

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High Quality Content by WIKIPEDIA articles! In mathematics, Volterra's function, named for Vito Volterra, is a real-valued function V(x) defined on the real line R with the following curious combination of properties:The function is defined by making use of the Smith-Volterra-Cantor set and "copies" of the function defined by f(x) = x2sin(1/x) for x ¿ 0 and f(x) = 0 for x = 0. The construction of V(x) begins by determining the largest value of x in the interval [0, 1/8] for which f ¿(x) = 0. Once this value (say x0) is determined, extend the function to the right with a constant value of f(x0) up to and including the point 1/8. Once this is done, a mirror image of the function can be created starting at the point 1/4 and extending downward towards 0.

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Kirjastaja OmniScriptum
Väljalaskeaasta 2026
Kaanetüüp Pehme kaanega
EAN 9786131054723
Kirjuta oma arvustus
Te vaatate: Volterras Function: Mathematics, Vito Volterra, Real Line, Differentiable, Bounded Function
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128,12 € 213,53 €