Definition of Discontinuous function. Meaning of Discontinuous function. Synonyms of Discontinuous function

Here you will find one or more explanations in English for the word Discontinuous function. Also in the bottom left of the page several parts of wikipedia pages related to the word Discontinuous function and, of course, Discontinuous function synonyms and on the right images related to the word Discontinuous function.

Definition of Discontinuous function

Discontinuous function
Discontinuous Dis`con*tin"u*ous, a. 1. Not continuous; interrupted; broken off. A path that is zigzag, discontinuous, and intersected at every turn by human negligence. --De Quincey. 2. Exhibiting a dissolution of continuity; gaping. ``Discontinuous wound.' --Milton. Discontinuous function (Math.), a function which for certain values or between certain values of the variable does not vary continuously as the variable increases. The discontinuity may, for example, consist of an abrupt change in the value of the function, or an abrupt change in its law of variation, or the function may become imaginary.

Meaning of Discontinuous function from wikipedia

- In mathematics, a nowhere continuous function, also called an everywhere discontinuous function, is a function that is not continuous at any point of...
- restricting to sufficiently small changes of its argument. A discontinuous function is a function that is not continuous. Until the 19th century, mathematicians...
- distributions. Generalized functions are especially useful for treating discontinuous functions more like smooth functions, and describing discrete physical...
- sequence of functions meeting the requirement that converges to a discontinuous function. For this, modify an example given in Inner product space#Some examples...
- → X {\displaystyle X\to X} which ****igns to each function its derivative is similarly discontinuous. Note that although the derivative operator is not...
- uniformly. The pointwise limit of a sequence of continuous functions may be a discontinuous function, but only if the convergence is not uniform. For example...
- mathematicians exclude non-analytic functions such as the absolute value function or discontinuous functions such as the step function, but others allow them. Some...
- ( x ) {\displaystyle H(x)} is the Heaviside step function. As with most such discontinuous functions, there is a question of the value at the transition...
- interpolation Discontinuous linear map Linear least squares "The term linear function means a linear form in some textbooks and an affine function in others...
- Dirichlet function is a Baire class 2 function. It cannot be a Baire class 1 function because a Baire class 1 function can only be discontinuous on a meagre...