discontinuous function
21Nowhere 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… …
22Heaviside step function — The Heaviside step function, H , also called the unit step function, is a discontinuous function whose value is zero for negative argument and one for positive argument.It seldom matters what value is used for H (0), since H is mostly used as a… …
23Generalized function — In mathematics, generalized functions are objects generalizing the notion of functions. There is more than one recognised theory. Generalized functions are especially useful in making discontinuous functions more like smooth functions, and (going …
24Darboux 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,… …
25Volterra's function — 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:* V ( x ) is differentiable everywhere * The derivative V prime;( x )… …
26Thomae's function — If you are having difficulty understanding this article, you might wish to learn more about algebra, functions, and mathematical limits. Thomae s function, also known as the popcorn function, the raindrop function, the ruler function or the… …
27Conway 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… …
28Baire function — In mathematics, Baire functions refer to certain sets of functions. They are studied in several fields of mathematics, including real analysis and topology.Baire functions of class n , for any ordinal number n , are a set of real valued functions …
29Cumulative distribution function — for the normal distributions in the image below …
30Wave function collapse — Quantum mechanics Uncertainty principle …
