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almost bounded function

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  • Almost periodic function — In mathematics, almost periodic functions are functions of a real number that are periodic up to a small error, first studied by Harald Bohr. There are generalizations to almost periodic functions on locally compact abelian groups. Almost… …   Wikipedia

  • Almost everywhere — In measure theory (a branch of mathematical analysis), one says that a property holds almost everywhere if the set of elements for which the property does not hold is a null set, i.e. is a set with measure zero, or in cases where the measure is… …   Wikipedia

  • 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

  • Maximal function — Maximal functions appear in many forms in harmonic analysis (an area of mathematics). One of the most important of these is the Hardy–Littlewood maximal function. They play an important role in understanding, for example, the differentiability… …   Wikipedia

  • Periodic function — Not to be confused with periodic mapping, a mapping whose nth iterate is the identity (see periodic point). In mathematics, a periodic function is a function that repeats its values in regular intervals or periods. The most important examples are …   Wikipedia

  • Dirac 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… …   Wikipedia

  • Volterra'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 )… …   Wikipedia

  • Characteristic function (probability theory) — The characteristic function of a uniform U(–1,1) random variable. This function is real valued because it corresponds to a random variable that is symmetric around the origin; however in general case characteristic functions may be complex valued …   Wikipedia

  • Hardy-Littlewood maximal function — In mathematics, the Hardy Littlewood maximal operator M is a significant non linear operator used in real analysis and harmonic analysis. It takes a function f (a complex valued and locally integrable function) : f:mathbb{R}^{d} ightarrow… …   Wikipedia

  • Cantor function — In mathematics, the Cantor function, named after Georg Cantor, is an example of a function that is continuous, but not absolutely continuous. DefinitionThe Cantor function c : [0,1] → [0,1] is defined as follows:#Express x in base 3. If possible …   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

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