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Τι (ποιος) είναι quadratically integrable function - ορισμός

ON WHEN A FUNCTION ON CONVEX BODY K DOES NOT DECREASE IF K IS TRANSLATED INWARDS

Globally integrable function

Square-integrable function

FUNCTION WHOSE SQUARED ABSOLUTE VALUE HAS FINITE INTEGRAL

Square-integrable; Square integrable; Square integrable function; L2 space; L2 Space; L2-space; L2-function; L2-inner product; L^2; Quadratic integrability; Quadratically integrable; Square-summable function; Square integrability; Quadratically integrable function; L² space; Square-integrable functions; Square-integrability

In mathematics, a square-integrable function, also called a quadratically integrable function or L^2 function or square-summable function, is a real- or complex-valued measurable function for which the integral of the square of the absolute value is finite. Thus, square-integrability on the real line (-\infty,+\infty) is defined as follows.

https://en.wikipedia.org/wiki/Square-integrable_function

Locally integrable function

Locally integrable; Local integrability; Locally summable function

In mathematics, a locally integrable function (sometimes also called locally summable function)According to . is a function which is integrable (so its integral is finite) on every compact subset of its domain of definition.

https://en.wikipedia.org/wiki/Locally_integrable_function

Tau function (integrable systems)

Draft:Tau function (integrable systems)

Tau functions are an important ingredient in the modern theory of integrable systems, and have numerous applications in a variety of other domains. They were originally introduced by Ryogo Hirota in his direct method approach to soliton equations, based on expressing them in an equivalent bilinear form.

https://en.wikipedia.org/wiki/Tau_function_(integrable_systems)

Βικιπαίδεια

Anderson's theorem

In mathematics, Anderson's theorem is a result in real analysis and geometry which says that the integral of an integrable, symmetric, unimodal, non-negative function f over an n-dimensional convex body K does not decrease if K is translated inwards towards the origin. This is a natural statement, since the graph of f can be thought of as a hill with a single peak over the origin; however, for n ≥ 2, the proof is not entirely obvious, as there may be points x of the body K where the value f(x) is larger than at the corresponding translate of x.

Anderson's theorem, named after Theodore Wilbur Anderson, also has an interesting application to probability theory.

https://en.wikipedia.org/wiki/Anderson's theorem