French translation for "bounded variation"

fonction à variation bornée

Example Sentences:

	1.	The total variation is a norm defined on the space of measures of bounded variation. La variation totale est une norme définie sur l'espace des mesures de variation bornée.
	2.	Doing the same, but using the Riemann–Stieltjes integral, along with an appropriate function of bounded variation, gives a definition of integral equivalent to the Lebesgue–Stieltjes integral. Si l'on fait la même chose, mais en utilisant l'intégrale de Riemann–Stieltjes, avec une fonction appropriée à variation bornée, on obtient une définition de l'intégrale équivalente à celle de Lebesgue–Stieltjes (en).
	3.	It can be seen from the proof that the supremum is attained when φ → − ∇ f | ∇ f | . {\displaystyle \varphi \to {\frac {-\nabla f}{\left|\nabla f\right|}}.} The function f {\displaystyle f} is said to be of bounded variation precisely if its total variation is finite. On déduit également de la preuve que la borne est atteinte en φ → − ∇ f | ∇ f | .
	4.	Specifically, if μ is a measure on (X, Σ), then B has the Radon–Nikodym property with respect to μ if, for every countably-additive vector measure γ {\displaystyle \gamma } on (X, Σ) with values in B which has bounded variation and is absolutely continuous with respect to μ, there is a μ-integrable function g : X → B such that γ ( E ) = ∫ E g d μ {\displaystyle \gamma (E)=\int _{E}g\,d\mu } for every measurable set E ∈ Σ. Si μ est une mesure sur (X, Σ) alors B possède la propriété de Radon-Nikodym par rapport à μ si pour toute mesure vectorielle dénombrablement additive γ

Similar Words：

"bounded mean oscillation" French translation, "bounded operator" French translation, "bounded rationality" French translation, "bounded set" French translation, "bounded set (topological vector space)" French translation, "bounded weak echo region" French translation, "boundedness (linguistics)" French translation, "bounden" French translation, "bounder" French translation