Examples of 'measure zero' in a sentence
Meaning of "measure zero"
In mathematics, 'measure zero' refers to a concept in measure theory where a set or region has a measure or size equal to zero. It indicates that the set or region has a negligible or infinitesimal extent, often used to describe mathematical constructs that are extremely small or negligible in size
How to use "measure zero" in a sentence
Basic
Advanced
measure zero
They are compact and have measure zero.
Sets of measure zero may be defined in terms of elementary functions as follows.
Every set with outer measure zero is measurable.
For all elements except those in a set of measure zero.
Also has measure zero.
A set with full measure is one whose complement is of measure zero.
The countable union of measure zero sets is measure zero.
The notion of almost everywhere is a companion notion to the concept of measure zero.
A countable union of sets of measure zero has measure zero.
A set of measure zero that is everywhere dense and which at these points is equal.
A meagre set need not have measure zero.
It has measure zero.
So the rational numbers is a set of Lebesque measure zero.
It asserts that every strong measure zero set of reals is countable.
That is except possibly on a set of Lebesgue measure zero.
See also
A set of measure zero.
Besicovitch showed that there are Besicovitch sets of measure zero.
Every strong measure zero set has Lebesgue measure 0.
On all but a set of measure zero.
The Cantor set is an example of an uncountable set that has Lebesgue measure zero.
A similar argument implies that the limit set has Lebesgue measure zero.
Therefore, every measurable subset of it has measure zero.
Specifically, the two measures agree on which events have measure zero.
This is true for all particles, except perhaps a set of measure zero.
Almost everywhere - everywhere in a given set except on a subset with measure zero.
A probability equal to 1 implies that any given infinite sequence has measure zero.
Sard 's theorem states that the set of critical values of a smooth map has measure zero.
For example, the Cantor set is uncountably infinite, but has Lebesgue measure zero.
Here the phrase " almost all " means " all but a set of measure zero.
The very next reading of the high-speed A / D converter 24 should measure zero volts.
You'll also be interested in:
Examples of using Zero
Show more
Zero waste all parts of plant are used
Factories achieved zero waste for disposal
Zero to a hundred in just over ten seconds
Examples of using Measure
Show more
It was an emergency measure but overcrowding is still a problem
Measure the difference between the markings
The unit of measure for water pressure
