"333677"^^ . . . . . . . . . . . . "3646"^^ . . . . . . . . "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 is nowhere continuous if for each point x there is an \u03B5 > 0 such that for each \u03B4 > 0 we can find a point y such that 0 < |x \u2212 y| < \u03B4 and |f(x) \u2212 f(y)| \u2265 \u03B5. Therefore, 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."@en . . . . . "Nowhere continuous function"@en . . . "1072305251"^^ . . . . . . . . . . . . . "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 is nowhere continuous if for each point x there is an \u03B5 > 0 such that for each \u03B4 > 0 we can find a point y such that 0 < |x \u2212 y| < \u03B4 and |f(x) \u2212 f(y)| \u2265 \u03B5. Therefore, no matter how close we get to any fixed point, there are even closer points at which the function takes not-nearby values."@en . . .