Sentence examples for absolute continuous from inspiring English sources

The phrase "absolute continuous" is correct and usable in written English, particularly in mathematical contexts.
It is typically used in the field of mathematics, specifically in measure theory and functional analysis, to describe a property of functions or measures.
Example: "A function is said to be absolutely continuous if it preserves the property of measure zero under integration."
Alternatives: "totally continuous" or "completely continuous".

Exact(9)

We use Malliavin calculus in order to show that the intensity measure of the invariant measure admits a density which is continuous, one times partially differentiable and bounded provided the immigration measure is absolute continuous.

If X has no absolute continuous norm, then (R X,a)=1+a ).

We denote by (AC[0,1]) the space of all absolute continuous functions on ([0,1]).

From this it follows that is absolute continuous with respect to, that is,.

Let (f:Omegato mathbb {C}) be an ACL (absolute continuous on lines) homeomorphism in a domain (Omegasubset mathbb {C}) that preserves orientation.

Assuming that (D^{alpha}_{C}y(x)) is absolute continuous and its derivative lies in (L^{2}[0,1]), then (D^{alpha}_{C}y(x intilde{H}).

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Similar(51)

We prove (i) discreteness of eigenvalues, (ii) absolute continuity of continuous spectrum.

The Δ-absolute continuous function (x cdot )) is said to be a solution of (3.1) if it satisfies inclusion (3.1) for Δ a.a. (tin mathbb{I}).

On one hand, a physical space can be defined as perfectly three-dimensional, absolute, unified, continuous, and Euclidean.

Categorical variables were expressed as an absolute number and continuous variables were expressed as median or mean ± SD and range.

They are continuous absolute gravity measurements at a fixed station and repeated gravity observations at sites around the Kirishima volcanoes.

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