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function with bounded variation

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  • Bounded 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… …   Wikipedia

  • Bounded deformation — In mathematics, a function of bounded deformation is a function whose distributional derivatives are not quite well behaved enough to qualify as functions of bounded variation, although the symmetric part of the derivative matrix does meet that… …   Wikipedia

  • bounded — boundedly, adv. boundedness, n. /bown did/, adj. 1. having bounds or limits. 2. Math. a. (of a function) having a range with an upper bound and a lower bound. b. (of a sequence) having the absolute value of each term less than or equal to some… …   Universalium

  • Total variation — As the green ball travels on the graph of the given function, the length of the path travelled by that ball s projection on the y axis, shown as a red ball, is the total variation of the function. In mathematics, the total variation identifies… …   Wikipedia

  • Regulated function — In mathematics, a regulated function (or ruled function) is a well behaved function of a single real variable. Regulated functions arise as a class of integrable functions, and have several equivalent characterisations.DefinitionLet X be a Banach …   Wikipedia

  • Ackermann function — In recursion theory, the Ackermann function or Ackermann Péter function is a simple example of a general recursive function that is not primitive recursive. General recursive functions are also known as computable functions. The set of primitive… …   Wikipedia

  • Form follows function — is a principle associated with modern architecture and industrial design in the 20th century. The principle is that the shape of a building or object should be primarily based upon its intended function or purpose. Wainwright Building by Louis… …   Wikipedia

  • Denjoy theorem — In mathematics, the Denjoy theorem gives a sufficient condition for a diffeomorphism of the circle to be topologically conjugate to a diffeomorphism of a special kind, namely an irrational rotation. Arnaud Denjoy proved the theorem in the course… …   Wikipedia

  • Caccioppoli set — In mathematics, a Caccioppoli set is a set whose boundary is measurable and has a finite measure . A synonym is set of finite perimeter. Basically, a set is a Caccioppoli set if its characteristic function is a function of bounded variation.… …   Wikipedia

  • Convergence of Fourier series — In mathematics, the question of whether the Fourier series of a periodic function converges to the given function is researched by a field known as classical harmonic analysis, a branch of pure mathematics. Convergence is not necessarily a given… …   Wikipedia

  • Reduced derivative — In mathematics, the reduced derivative is a generalization of the notion of derivative that is well suited to the study of functions of bounded variation. Although functions of bounded variation have derivatives in the sense of Radon measures, it …   Wikipedia

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