quadratically integrable function - translation to ρωσικά
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quadratically integrable function - translation to ρωσικά

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

quadratically 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
функция с интегрируемым квадратом
square integrability         
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

математика

интегрируемость с квадратом

square integrable         
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

общая лексика

интегрируемый с квадратом

Ορισμός

Integrable

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.

Μετάφραση του &#39quadratically integrable function&#39 σε Ρωσικά