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** The Lebesgue measure of a countable disjoint union of measurable sets is equal to the sum of the measures of the individual sets.
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Some Related Sentences
** and Lebesgue
** The Vitali theorem on the existence of non-measurable sets which states that there is a subset of the real numbers that is not Lebesgue measurable.
** and measure
** In genomics, as a measure of evolution at the protein level ( also denoted as d < sub > N </ sub >/ d < sub > S </ sub > or K < sub > a </ sub >/ K < sub > s </ sub > ratio ).
** Phylogenetic diversity, a measure of biodiversity which incorporates phylogenetic difference between species
** proxy-detection: in-vehicle sensors measure leaf status ; this requires the farmer to drive around the entire field.
** Languages of both the CJKV area and both mainland and island Southeast Asia typically have a well-developed system of measure words or numerical classifiers.
** In some parts of the UK, a popular variant is the " lager top ", in which a small measure of clear lemonade or lime juice is added to the lager — usually about an inch.
** cardinality ( equal if there is a bijection ), of a set is a measure of the " number of elements of the set "
** Program state, in computer science, a snapshot of the measure of various conditions in the system
** and countable
** is closed under countable unions: if A < sub > i </ sub >∈ for i = 1, 2 ,…, then also (∪< sub > i </ sub > A < sub > i </ sub >)∈
** and disjoint
** Anders Johansson, Jeff Kahn, and Van H. Vu for determining the threshold of edge density above which a random graph can be covered by disjoint copies of a given smaller graph.
** Connected space, a topological space which cannot be written as the disjoint union of two or more nonempty open spaces
** and union
** The rimbases are short broad rings located at the union of the trunnions and the cannon which provide support to the carriage attachment.
** Canterbury Rugby Football Union, the governing body for rugby union in the central Canterbury region
** Iceland regains independence, yet remains in personal union with the King of Denmark, who also becomes the King of Iceland until 1944.
** The Parliament of Finland again declares itself holder of sovereignty, effectively dissolving the 108-year-old union with Russia.
** After weeks of strikes at the Lenin Shipyard in Gdańsk, Poland, the nationwide independent trade union Solidarity is established.
** The United Methodist Church is created by the union of the former Methodist and Evangelical United Brethren churches.
** The legislative union of Great Britain and Ireland is completed under the Act of Union 1800, bringing about the United Kingdom of Great Britain and Ireland.
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