Lebesgue measure (5519 bytes)
1: [[Category:Measure theory]]
2: ...o, not all subsets of '''R'''^''n'' are Lebesgue measurable. The "strange" behavior of [[non-measu...
6: The Lebesgue measure has the following properties:
8: ...; ... &sdot; ''I''_''n'', then ''A'' is Lebesgue measurable and &lambda;(''A'') = |''I''<sub>1</su...
9: ... equal to the sum (or [[infinite series]]) of the measures of the involved measurable sets.

Lebesgue integration (22686 bytes)
1: ...region bounded by the graph of that function. '''Lebesgue integration''' is a mathematical [[theory]] that ...
3: The Lebesgue integral plays an important role in the branch of...
5: The Lebesgue integral is named for [[Henri Lebesgue]] ([[1875]]-[[1941]]). The pronunciation of his n...
16: ... Riemann definition, which is the main reason the Lebesgue integral is better behaved.
17: The Lebesgue definition also makes it possible to calculate in...

Henri Lebesgue (6356 bytes)
1: '''Henri L&eacute;on Lebesgue''' ([[June 28]], [[1875]] - [[July 26]], [[1941]]...
2: ...ished in his dissertation, ''[[A summary of Henri Lebesgue's dissertation|Intégral, longueur, aire]]'' ("Int...
4: Lebesgue's father was a typesetter,
6: Lebesgue himself suffered from poor health throughout his ...
12: Lebesgue married the sister of one of his fellow students,

Lebesgue-measurable function (252 bytes)
1: In [[mathematics]], a '''Lebesgue-measurable function''' is a real function ''f'' :...
6: is a Lebesgue-measurable set. See [[Lebesgue measure]].

Lebesgue covering dimension (918 bytes)
1: In [[mathematics]], the '''Lebesgue covering dimension''' of a [[topological space]] ...
5: ...f a finite [[simplicial complex]]; this is the '''Lebesgue covering theorem'''.

Riemann-Lebesgue lemma (1473 bytes)
1: ...t is named after [[Bernhard Riemann]] and [[Henri Lebesgue]]
4: ...''¹ integrable, that is to say if the Lebesgue integral of |''f''| is finite, then
27: {{planetmath|id=3571|title=Riemann-Lebesgue lemma}}

Lebesgue-Stieltjes integration (6144 bytes)
1: ...]s, particularly the [[Lebesgue integral]], and [[measure theory]].''
4: ...e many advantages of the latter in a more general measure-theoretic framework.
6: ...d [[Thomas Joannes Stieltjes]], are also known as Lebesgue-Radon integrals or just Radon integrals, after [[...
10: ...tieltjes integral, we will begin by associating a measure, &mu;_''w'', with a [[nonnegative|non-n...
12: ...e to show that &mu;_''w'' is an [[outer measure]].

Lebesgue's number lemma (382 bytes)
3: In [[topology]], '''Lebesgue's number lemma''' states
8: *[[Henri Lebesgue]]

Measure zero (947 bytes)
1: ...'. An element ''A'' in &Sigma; is said to have '''measure zero''' if &mu;(''A'')=0.
3: ...a;. However, any null set is a subset of a set of measure zero.
7: Consider the [[Lebesgue measure]] &mu; over the [[real number]]s.
9: ...iscontinuities]] of a [[monotonic function]] have measure zero.
11: ... An ''uncountable'' set of real numbers which has measure zero is the [[Cantor set]].

Measure for Measure (3166 bytes)
1: '''''Measure for Measure''''' is a [[play]] written by [[William Shakespea...
16: ... judged, and with the measure you use, it will be measured to you.''
22: ...re.com/Measure_for_Measure/index.html Measure for Measure] - searchable e-text
23: *[http://classics.mit.edu/Shakespeare/measure/ Full text of play]
24: ...iterature.co.uk/measvre-for-measure/ Measvre, For Measure] - HTML version of this title.

Measure 36 (209 bytes)
1: There are several [[ballot measure]]s called '''Measure 36''':
3: * [[Oregon Ballot Measure 36 (1996)]] (minimum wage)
4: * [[Oregon Ballot Measure 36 (2004)]] (constitutional ammendment to ban sam...

Measure (1074 bytes)
1: '''Measure''' can mean:
3: * To perform a [[measurement]].
4: ... to "measure their sizes or probabilities". See [[measure (mathematics)]] for a treatment of the concept.
5: ...are also called '''[[bar (music)|bar]]s''', since measures are separated by vertical bars (called '''bar li...
6: ...islative [[Bill (proposed law)|bill]], a [[ballot measure]], or [[law|enactment]].

Measure of a Man (2369 bytes)
2: !align="center" bgcolor="orange" colspan="3"|''Measure of a Man''
35: |valign="top" colspan="2"|<small>''Measure of a Man''<br />([[2003]])</small>
39: '''''Measure of a Man''''' is [[Clay Aiken]]'s debut album, re...
54: # "Measure Of A Man" (Morales, [[Cathy Dennis]], David Siege...

Units of measure (1997 bytes)
1: ''This topic differs from [[units of measurement]], which see.''
5: '''Units of measure''' are the fundamental components of a problem. ...
24: ...ther complex real world problems require units of measure to adequately assess projected outcomes.
26: ...t is then possible to compare programs on various measures.
28: ... hits per second''; a businessman might choose to measure in units of ''unsold product''.

The Last Full Measure (1599 bytes)
1: '''''The Last Full Measure''''' (published [[May 19]], [[1998]] by [[Ballant...
3: ...previous two books in the series, ''The Last Full Measure'' takes the reader inside the minds of several of...
8: ...BB/promos/lastfullmeasure/ Random House Last Full Measure Page]
11: [[Category:1998 books|Last Full Measure]]

Imperial measure (498 bytes)
1: ...''' Canada has always used the Imperial system of measurement created in England January 1,1826, until intr...

Outer measure (5609 bytes)
1: ...work on outer measures found many applications in measure-theoretic set theory and was used in an essential...
3: Measures are generalizations of length, area and volume, ...
5: # Any interval of reals [''a'', ''b''] has measure ''b'' &minus; ''a''
11: ... set]]. The purpose of constructing an ''outer'' measure on all subsets of ''X'' is to suitably pick out a...
14: An outer measure is defined as a function defined on all subsets o...

The Measure of a Man (3200 bytes)
1: '''"The Measure of a Man"''' is a second season episode of ''[[St...
25: ...pha.st-minutiae.com/wiki/The_Measure_of_a_Man The Measure of a Man] at Memory Alpha, a Star Trek WikiWiki
27: [[Category:Star Trek: TNG episodes|Measure of a Man, The]]

Concentration of measure (1141 bytes)
1: [[Category:Measure theory]]
3: ...'' = 2), the answer is that [[almost all]] of the measure is concentrated near it. In other words, the 'pol...

Tape measure (1216 bytes)
1: ...jpg|right|350px|thumb|Self-retracting pocket tape measure]]
3: A '''tape measure''' or '''measuring tape''' is a ribbon of cloth, ...
4: ...y carried in pocket or toolkit and permits one to measure around curves or corners.
6: ...tracts into a coil for convenient storage. A tape measure of 25 or even 100 feet can wind into a relatively...
8: For many purposes tape measures are indispensable. Almost any home or shop can b...

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