Examples of 'cantor set' in a sentence
Meaning of "cantor set"
In mathematics, a Cantor set is a perfect self-replicating fractal subset of a line segment. It is characterized by being uncountable, having no interior points, and consisting of an infinite number of points even though it has zero length
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- A subset of an interval formed by recursively removing an interval in the middle of every connected component of the set.
How to use "cantor set" in a sentence
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cantor set
Cantor set to become majority leader.
Time scale calculus for dynamic equations on a cantor set.
The Cantor set is null as well.
It is also related to the Cantor set.
The Cantor set is an example of an uncountable set that has Lebesgue measure zero.
The topology of is that of a Cantor set.
One can modify the construction of the Cantor set by dividing randomly instead of equally.
Analysis on fractals for dynamic equations on a Cantor set.
Cantor also introduced the Cantor set during this period.
An important example of a totally disconnected space is the Cantor set.
We have seen above that the Cantor set is a totally disconnected perfect compact metric space.
The image of this map is called the Cantor set.
Let be the Cantor set in.
These two metrics generate the same topology on the Cantor set.
The Cantor Set works by starting with a line just like the Koch curve.
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The Cantor function is closely related to the Cantor set.
The Cantor set itself is a Cantor space.
This is a hyperbolic group whose Gromov boundary is a Cantor set.
Zoom in Cantor set.
See Cantor space for more on spaces homeomorphic to the Cantor set.
Consequently, the Cantor set is totally disconnected.
In other words, the limit set is a Cantor set.
In fact, the Cantor set contains uncountably many points.
Building of the Cantor set.
For example, the Cantor set is uncountably infinite, but has Lebesgue measure zero.
Cantor dust is a multi-dimensional version of the Cantor set.
For example, the Cantor set has no isolated points.
In fact, every compact metric space is a continuous image of the Cantor set.
As the above summation argument shows, the Cantor set is uncountable but has Lebesgue measure 0.
In the end compactification, the set of ends has the topology of a Cantor set.
This calculation suggests that the Cantor set can not contain any interval of non-zero length.
The Hénon attractor is a fractal, smooth in one direction and a Cantor set in another.
By construction, the Smith - Volterra - Cantor set contains no intervals and therefore has empty interior.
Every nonempty totally-disconnected perfect compact metric space is homeomorphic to the Cantor set.
As a compact totally disconnected Hausdorff space, the Cantor set is an example of a Stone space.
The space E ( M ) is always topologically equivalent to a closed subspace of the Cantor set.
For example, the fat Cantor set is not.
Fractal volume = = = The Cantor function is closely related to the Cantor set.
For example, the complement of the fat Cantor set ( within the interval ) is not.
Another very well-known fractal is the so called Cantor Set.
See Smith - Volterra - Cantor set for an example.
For our example, the boundary Cantor string is the Cantor set itself.
Now suppose that the elementary Cantor set is formed randomly as follows ( Figure 10 ).
Cantor dust = = = Cantor dust is a multi-dimensional version of the Cantor set.
The number 3/10 is also in the Cantor set and is not an endpoint.
The Cantor set Euclidean space [ 1 ] the complex numbers.
It is a three-dimensional generalization of the one-dimensional Cantor set and two-dimensional Sierpinski carpet.
Self-similarity = = = The Cantor set is the prototype of a fractal.
For example, the Cantor set.
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Cantor saw a whole new world opening up
He also served as chief cantor in various churches
Cantor did a new step and he said
