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Cantor Set

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A Cantor set is a particular example of an uncountable set of measure zero constructed from a unit interval by recursively removing the middle third of subintervals.

Cantor set is a college-level concept that would be first encountered in an analysis course.

Prerequisites

Infinity: Infinity is an unbounded quantity greater than every real (and every whole) number.
Measure: A measure is a function that quantifies the size of a subset of a Euclidean space. Measures are used for integration and are important in differential equations and probability theory.
Real Number: A real number is a number corresponding to a point on the real number line.
Set: In mathematics, a set is a finite or infinite collection of objects in which order has no significance and multiplicity is generally also ignored.

Classroom Articles on Analysis (Up to College Level)

  • Analysis
  • Delta Function
  • Banach Space
  • Fourier Series
  • Bernoulli Number
  • Functional Analysis
  • Calculus of Variations
  • Gamma Function
  • Convolution
  • Hilbert Space