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The Functional Equation f(x+y)=f(x)+f(y) and Ugly Functions
Автор: MathGems
Загружено: 2021-05-22
Просмотров: 111
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In this video we discuss about the functional equation f(x+y)=f(x)+f(y) in one dimension which is sometimes called Cauchy's additive equation. Non-continuous solutions are called ugly functions. We show that their graph is always a dense subset of the two dimensional Euclidean space.
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