Cantor set

American  

noun

Mathematics.

1. the set obtained from the closed interval from 0 to 1 by removing the middle third from the interval, then the middle third from each of the two remaining sets, and continuing the process indefinitely.

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Etymology

Origin of Cantor set

After G. Cantor

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Example Sentences

See Examples For:

Cantor set

To verify that Antoine’s necklace is a Cantor set, we have to check that it satisfies the three conditions above.

From Scientific American ● Jul. 8, 2018

It feels like everywhere I turn, I run into the Cantor set.

From Scientific American ● Jul. 8, 2018

Our most recent My Favorite Theorem episode features the Cantor set and a related space, Cantor dust, in an important way.

From Scientific American ● Jul. 8, 2018

For every point x in the Cantor set, we have a line connecting x to p.

From Scientific American ● Jun. 20, 2015

There are two types of points in the Cantor set.

From Scientific American ● Jun. 20, 2015

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