discontinuous function
41Inverse trigonometrical functions — Function Func tion, n. [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. {Defunct}.] 1. The act of executing or performing any duty, office, or calling; performance. In the function of… …
42Transcendental functions — Function Func tion, n. [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. {Defunct}.] 1. The act of executing or performing any duty, office, or calling; performance. In the function of… …
43analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …
44Gibbs phenomenon — In mathematics, the Gibbs phenomenon (also known as ringing artifacts), named after the American physicist J. Willard Gibbs, is the peculiar manner in which the Fourier series of a piecewise continuously differentiable periodic function f behaves …
45Bounded variation — In mathematical analysis, a function of bounded variation refers to a real valued function whose total variation is bounded (finite): the graph of a function having this property is well behaved in a precise sense. For a continuous function of a… …
46Louis François Antoine Arbogast — (October 4, 1759 April 8,or April 18, 1803) was a French mathematician. He was born at Mutzig in Alsace and died at Strasbourg, where he was professor. He wrote on series and the derivatives known by his name: he was the first writer to separate… …
47Pointwise convergence — In mathematics, pointwise convergence is one of various senses in which a sequence of functions can converge to a particular function.[1][2] Contents 1 Definition 2 Properties …
48Smooth infinitesimal analysis — is a mathematically rigorous reformulation of the calculus in terms of infinitesimals. Based on the ideas of F. W. Lawvere and employing the methods of category theory, it views all functions as being continuous and incapable of being expressed… …
49List of published false theorems — The historical record of mathematics and mathematicians is excellent overall. Few published theorems have later been discovered to be false. However, a number of well known exceptions are listed below.*In 1803, Gian Francesco Malfatti proved that …
50Perfect competition — Economics …
