Translation for 'Lebesgue measure' from English to Czech

Lebesgue measure {noun}

Lebesgueova míra {f}mat.

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to measure {verb}

měřit [nedok.]

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measure {noun}

míra {f}

• The measure needs to be supported on the attractor, but attractors have zero Lebesgue measure and the invariant measures must be singular with respect to the Lebesgue measure.
• This agrees with the convolution defined above when μ and ν are regarded as distributions, as well as the convolution of L1 functions when μ and ν are absolutely continuous with respect to the Lebesgue measure.
• The set of algebraic numbers is countably infinite and has measure zero in the Lebesgue measure as a subset of the uncountable complex numbers.
• is Riemann integrable if and only if it is continuous almost everywhere (the set of its points of discontinuity has measure zero, in the sense of Lebesgue measure).
• Densities for absolutely continuous distributions are usually defined as this derivative with respect to the Lebesgue measure.

• Although the empty set has Lebesgue measure zero, there are also non-empty sets which are null.
• which all have infinite Lebesgue measure, but the intersection is empty.
• Two integrable functions have the same Laplace transform only if they differ on a set of Lebesgue measure zero.
• The set of all such [...] forms a "σ"-algebra. For any such [...] , its Lebesgue measure is defined to be its Lebesgue outer measure: [...].