Examples of 'absolutely continuous' in a sentence
Meaning of "absolutely continuous"
absolutely continuous: A mathematical term used to describe a function that is continuous and has no 'breaks' or abrupt changes in its values
How to use "absolutely continuous" in a sentence
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absolutely continuous
Any absolutely continuous function is uniformly continuous.
All stable distributions are absolutely continuous.
On the product of absolutely continuous transformations of measure spaces.
A probability density function is most commonly associated with absolutely continuous univariate distributions.
For all absolutely continuous functions for which.
But a continuous function f can fail to be absolutely continuous even on a compact interval.
An absolutely continuous indecomposable distribution.
We prove the existence of invariant probability measures absolutely continuous with respect to lebesgue measure.
Absolutely continuous random variable.
The sum and difference of two absolutely continuous functions are also absolutely continuous.
Absolutely continuous real functions.
Another convention reserves the term continuous probability distribution for absolutely continuous distributions.
Absolutely continuous measure.
Such distributions are not absolutely continuous with respect to Lebesgue measure.
Absolutely continuous measures.
See also
The collection of all absolutely continuous functions on I is denoted ACL.
The main result says, for each f ¿ f there is a probability measure invariant absolutely continuous.
For an absolutely continuous probability distribution with probability density function.
This ensures that there exists a unique absolutely continuous solution of the system 1.
Every absolutely continuous function is uniformly continuous and, therefore, continuous.
Also, it is not discrete nor a weighted average of discrete and absolutely continuous random variables.
It was absolutely continuous.
On the other hand, the Cantor function is uniformly continuous but not absolutely continuous.
This measure is absolutely continuous with respect to the Lebesgue measure.
Every Lipschitz-continuous function is absolutely continuous.
In fact, all absolutely continuous functions are obtained in this manner.
In particular, when P is absolutely continuous with.
Let f ( k ) be absolutely continuous on the closed interval between a and x.
There are n { \ displaystyle n } different measures on the interval, all absolutely continuous with respect to length.
The absolutely continuous assumption on the Markov transitions of X k { \ displaystyle X _ { k } }.
The following functions are absolutely continuous but not α-Hölder continuous,.
So that, in particular, μ is absolutely continuous with respect to Lebesgue measure.
These are most precisely called absolutely continuous random variables ( see Radon-Nikodym theorem ).
Properties = = = * The sum and difference of two absolutely continuous functions are also absolutely continuous.
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