bump function
1Bump function — In mathematics, a bump function is a function f: {Bbb R}^n o {Bbb R} on a Euclidean space {Bbb R}^n which is both smooth (in the sense of having continuous derivatives of all orders) and compactly supported. The space of all bump functions on… …
2Smooth 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 …
3Dirac 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… …
4Non-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 …
5Reminiscence bump — The reminiscence bump is the tendency for older adults to have increased recollection for events that occurred during their adolescence and early adulthood.[1] It was identified through the study of autobiographical memory and the subsequent… …
6Sigmoid function — The logistic curve Plot of the error function …
7Multi-function structure — Multi function material is a composite material. The traditional approach to the development of structures is to address the loadcarrying function and other functional requirements separately. Recently, however, there has been increased interest… …
8Stalk (sheaf) — The stalk of a sheaf is a mathematical construction capturing the behaviour of a sheaf around a given point.Motivation and definitionSheaves are defined on open sets, but the underlying topological space X consists of points. It is reasonable to… …
9Distribution (mathematics) — This article is about generalized functions in mathematical analysis. For the probability meaning, see Probability distribution. For other uses, see Distribution (disambiguation). In mathematical analysis, distributions (or generalized functions) …
10Mollifier — A mollifier (top) in dimension one. At the bottom, in red is a function with a corner (left) and sharp jump (right), and in blue is its mollified version. In mathematics, mollifiers (also known as approximations to the identity) are smooth… …
