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The support of the distribution associated with the Dirac measure at a point is the set {}. [12] If the support of a test function does not intersect the support of a distribution T then = A distribution T is 0 if and
The book series was initiated in 1958 with the name New Mathematical Library by the Monograph Project of the School Mathematics Study Group (SMSG) with financing from the National Science Foundation. Anneli Cahn Lax was the editor-in-chief of the series, intended as mathematical expositions written by outstanding mathematicians for an audience ...
In algebra and number theory, a distribution is a function on a system of finite sets into an abelian group which is analogous to an integral: it is thus the algebraic analogue of a distribution in the sense of generalised function. The original examples of distributions occur, unnamed, as functions φ on Q/Z satisfying [1]
Over 1,200 (and growing) books published by the Metropolitan Museum of Art, New York, up to c. 2009, fully available to download as PDFs (though content is still copyrighted) from the Thomas J. Watson Library at the MMA. Exhibition and collection catalogues, many very large and well-illustrated, and much else. Also useful for general history etc.
The Digital Library of Mathematical Functions (DLMF) is an online project at the National Institute of Standards and Technology (NIST) to develop a database of mathematical reference data for special functions and their applications.
The Latin title of this book is Ars cogitandi, which was a successful book on logic of the time. The Ars cogitandi consists of four books, with the fourth one dealing with decision-making under uncertainty by considering the analogy to gambling and introducing explicitly the concept of a quantified probability. [14] [15]
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The uniform distribution or rectangular distribution on [a,b], where all points in a finite interval are equally likely, is a special case of the four-parameter Beta distribution. The Irwin–Hall distribution is the distribution of the sum of n independent random variables, each of which having the uniform distribution on [0,1].