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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.


Etymology

Origin of Cantor set

After G. Cantor

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

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

Sometimes it seems like in the world of interesting mathematical examples, all roads lead to the Cantor set.

From Scientific American • Jul. 8, 2018

The Cantor set won’t be able to obstruct the loop.

From Scientific American • Jul. 8, 2018

In Cantor’s leaky tent, the countably many endpoints of the Cantor set are paired with the countably many rational points on the line to p.

From Scientific American • Jun. 20, 2015

Now each line from the Cantor set to p has been completely shattered.

From Scientific American • Jun. 20, 2015

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