Lebesgue Measure
An extension of the classical notions of length and Area to more complicated sets. Given an open set 
containing Disjoint intervals,
Given a Closed Set
,
A unit Line Segment has Lebesgue measure 1; the Cantor Set has Lebesgue measure 0. The Minkowski Measure of abounded, Closed Set is the same as its Lebesgue measure (Ko 1995).See also Cantor Set, Measure, Riesz-Fischer Theorem
References
Kestelman, H. ``Lebesgue Measure.'' Ch. 3 in Modern Theories of Integration, 2nd rev. ed. New York: Dover, pp. 67-91, 1960. Ko, K.-I. ``A Polynomial-Time Computable Curve whose Interior has a Nonrecursive Measure.'' Theoret. Comput. Sci. 145, 241-270, 1995.
- Kaplan-Yorke Map
- Kappa Curve
- Kaprekar Number
- Kaprekar Routine
- Kaps-Rentrop Methods
- Kapteyn Series
- Karatsuba Multiplication
- k-ary Divisor
- Katona's Problem
- Kauffman Polynomial F
- Kauffman Polynomial X
- k-Chain
- k-Circuit
- k-Coloring
- Kei
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- Keller's Conjecture
- Kelvin Functions
- Kelvin's Conjecture
- Kelvin Transformation
- Kempe Linkage
- Kepler Conjecture
- Kepler-Poinsot Solid
- Kepler Problem
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