- nowhere continuous function
- всюду разрывная функция
English-Russian scientific dictionary. 2008.
English-Russian scientific dictionary. 2008.
Nowhere continuous function — 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… … Wikipedia
Continuous function — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus Derivative Change of variables Implicit differentiation Taylor s theorem Related rates … Wikipedia
Function (mathematics) — f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a … Wikipedia
Weierstrass function — may also refer to the Weierstrass elliptic function ( ) or the Weierstrass sigma, zeta, or eta functions. Plot of Weierstrass Function over the interval [−2, 2]. Like fractals, the function exhibits self similarity: every zoom (red circle)… … Wikipedia
Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… … Wikipedia
Differentiable function — A differentiable function The absolute value function is not … Wikipedia
Darboux function — In mathematics, a Darboux function, named for Gaston Darboux (1842 1917), is a real valued function f which has the intermediate value property : on the interval between a and b , f assumes every real value between f ( a ) and f ( b ). Formally,… … Wikipedia
Smooth function — A bump function is a smooth function with compact support. In mathematical analysis, a differentiability class is a classification of functions according to the properties of their derivatives. Higher order differentiability classes correspond to … Wikipedia
Non-analytic smooth function — In mathematics, smooth functions (also called infinitely differentiable functions) and analytic functions are two very important types of functions. One can easily prove that any analytic function of a real argument is smooth. The converse is not … Wikipedia
Conway base 13 function — The Conway base 13 function is a function created by British mathematician John H. Conway as a counterexample to the converse of the intermediate value theorem. In other words, even though Conway s function f is not continuous, if… … Wikipedia
Discontinuous linear map — In mathematics, linear maps form an important class of simple functions which preserve the algebraic structure of linear spaces and are often used as approximations to more general functions (see linear approximation). If the spaces involved are… … Wikipedia