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 johann peter gustav lejeune dirichlet - Definition 

Johann Peter Gustav Lejeune Dirichlet (3005 bytes)
1: '''Johann Peter Gustav Lejeune Dirichlet''' ([[February 13]], [[1805]] - [[May 5]], [[1859...
3: ...] in [[Belgium]], from which his surname "Lejeune Dirichlet" ("le jeune de Richelet" = "the young chap from R...
5: ...en-Marie Legendre]], who was one of the referees. Dirichlet also completed his own proof almost at the same t...
9: After his death, Dirichlet's lectures and other results in [[number theory]]...
13: * [[Dirichlet's theorem]] ([[number theory]], [[1835]])

Johann Gustav Droysen (5186 bytes)
1: '''Johann Gustav Droysen''' ([[July 6]], [[1808]] - [[June 10]], [...
3: ...was born at Treptow in [[Pomerania]]. His father, Johann Christoph Droysen, was an army chaplain who had b...
11: ...of several well-known historical works, namely, ''Gustav Adolf'' (Leipzig, 1869-1870); ''Herzog Bernhard v...
13: ...aximilian Wolfgang Duncker|M. Duncker]], ''Johann Gustav Droysen, ein Nachruf'' (Berlin, 1885); and Dahlma...
17: [[Category:1808 births|Droysen, Johann Gustav]]

Johann Peter Uz (745 bytes)
1: '''Johann Peter Uz''' ([[October 3]], [[1720]] - [[May 12]], [[17...
3: ...[Johann Wilhelm Ludwig Gleim|Johann Gleim]] and [[Johann Nikolaus Götz]], and in conjunction with the latt...
8: [[Category:1720 births|Uz, Johann Peter]]
9: [[Category:1796 deaths|Uz, Johann Peter]]
10: [[Category:German poets|Uz, Johann Peter]]

Johann Peter Melchior (882 bytes)
1: '''Johann Peter Melchior''' ([[October 12]], [[1742]], [[Lindorf]...

Johann Peter Eckermann (404 bytes)
1: ...iter]] & editor. He was a literary assistant to [[Johann Wolfgang von Goethe]] and hence wrote ''[[Convers...
5: [[Category:1792 births|Eckermann, Johann Peter]]
6: [[Category:1854 deaths|Eckermann, Johann Peter]]
8: [[de:Johann Peter Eckermann]]
9: [[nl:Johann Peter Eckermann]]

Johann Peter Hebel (2199 bytes)
1: '''Johann Peter Hebel''' ([[May 10]], [[1760]] - [[September 22]]...
3: ... His poem, ''Die Wiese'', has been described by [[Johannes Scherr]] as the pearl of German idyllic poetry ...
9: [[Category:1760 births|Hebel, Johann Peter]]
10: [[Category:1826 deaths|Hebel, Johann Peter]]
12: [[de:Johann Peter Hebel]]

Johann Peter Salomon (1016 bytes)
1: '''Johann Peter Salomon''' (baptized [[February 20]], [[1745]], d...
9: [[Category:1745 births|Salomon, Johann Peter]]
10: [[Category:1815 deaths|Salomon, Johann Peter]]

Johann Peter Lange (2129 bytes)
1: '''Johann Peter Lange''' ([[April 10]], [[1802]] - [[July 9]], [[...
14: [[Category:1802 births|Lange, Johann Peter]]
15: [[Category:1884 deaths|Lange, Johann Peter]]

John A. Lejeune (8518 bytes)
1: Lieutenant General '''John Archer Lejeune''', 13th [[Commandant of the Marine Corps]], was ...
3: ...[1 October]] [[1891]] to [[28 July]] [[1893]], Lt Lejeune served on board [[USS Bennington (PG-4)|USS ''Ben...
5: On [[2 August]] [[1897]], 1stLt Lejeune assumed command of the Marine Guard of [[USS Cin...
7: ...nuary]] [[1903]] to [[21 January]] [[1903]], Capt Lejeune was on duty at the Norfolk Barracks, going to rec...
9: ... December]] 1903 to [[21 December]] [[1904]], Maj Lejeune was on duty ashore on the [[Isthmus of Panama]] i...

Marine Corps Base Camp Lejeune (1817 bytes)
1: '''Marine Corps Base Camp Lejeune''' is near [[Jacksonville, North Carolina]], on t...
3: Camp Lejeune is home to the [[United States Marine Corps|U.S. ...
10: ...3th [[Commandant of the Marine Corps]], [[John A. Lejeune]].
13: *[http://www.lejeune.usmc.mil/mcb/index.asp Base home page]
14: *[http://www.lejeune.usmc.mil/emd/cultural/Home.html Base history]

Dirichlet conditions (622 bytes)
1: ...ons are named after [[Johann Peter Gustav Lejeune Dirichlet]].
10: *{{planetmath reference|id=3891|title=Dirichlet conditions}}

Dirichlet distribution (2357 bytes)
1: ...multivariate]] [[probability distribution]]. The Dirichlet distribution is the multivariate generalization o...
3: ==Specification of the Dirichlet distribution==
7: The [[probability density function]] of the Dirichlet distribution of order ''K'' is the following func...
29: ...m draw of <math> x_1, \ldots, x_K</math> from the Dirichlet is to draw independent random variables <math> y_...

Dirichlet character (2433 bytes)
1: [[de:Dirichlet]][[fr:Caractère de Dirichlet]]
3: In [[number theory]], a '''Dirichlet character''' is a [[function (mathematics)|functi...
11: ...[[totient function]]. A detailed construction of Dirichlet characters starting from the basics of [[modular ...
15: An example of a Dirichlet character is the function &chi;(''n'') = (-1)<sup...
17: ...') = (''n''/''p'') (the [[Legendre symbol]]) is a Dirichlet character of period ''p''.

Dirichlet integral (471 bytes)
1: ...r the German mathematician [[Peter Gustav Lejeune Dirichlet]].
11: *[http://mathworld.wolfram.com/DirichletIntegrals.html MathWorld page]

Dirichlet problem (909 bytes)
3: ...ry of that region. This requirement is called the Dirichlet [[boundary condition]], for the partial different...
5: Dirichlet problems are typical of [[elliptic partial differ...

Dirichlet kernel (3551 bytes)
1: [[fr:Noyau de Dirichlet]]
2: In [[mathematical analysis]], the '''Dirichlet kernel''' is the collection of functions
7: It is named after [[Johann Peter Gustav Lejeune Dirichlet]].
9: The importance of the Dirichlet kernel comes from its relation to [[Fourier serie...
17: ...er series it is enough to study properties of the Dirichlet kernel. Of particular importance is the fact that...

Dirichlet series (2977 bytes)
1: ...s named in honor of [[Johann Peter Gustav Lejeune Dirichlet]], is a [[series (mathematics)|series]] of the fo...
5: The most famous of Dirichlet series is
11: Other Dirichlet series are:
29: == Analytic properties of Dirichlet series ==
43: ...radius of convergence]] for [[power series]]. The Dirichlet series case is more complicated, though: [[absolu...

Dirichlet principle (1073 bytes)
1: In [[mathematics]], '''[[Dirichlet]]'s principle''' in [[potential theory]] states t...
5: can be obtained as the minimizer of the [[Dirichlet integral]]
13: ...ly that there exists one such function making the Dirichlet integral finite.
15: ...for granted by [[Riemann]] (who coined the term ''Dirichlet's principle'') and others until [[Karl Weierstra...
16: ...mum. [[Hilbert]] later justified Riemann's use of Dirichlet's principle.

Dirichlet convolution (2485 bytes)
1: ...is was developed by [[Johann Peter Gustav Lejeune Dirichlet]], a German mathematician.
3: ...es a new arithmetic function ''f'' * ''g'', the ''Dirichlet convolution'' of ''f'' and ''g'', by
15: ...]] with multiplicative identity &epsilon;, the '''Dirichlet ring'''. The units of this ring are the arithmeti...
25: ...The multiplication of L-series is compatible with Dirichlet convolution in the following sense:
36: [[ko:Dirichlet convolution]]

Dirichlet boundary condition (1100 bytes)
1: In [[mathematics]], a '''Dirichlet''' [[boundary condition]] imposed on an [[ordinar...
12: the Dirichlet boundary conditions take the form
24: ... denotes the [[Laplace operator|laplacian]]), the Dirichlet boundary condition typically takes the form
32: Dirichlet boundary conditions are perhaps the easiest to
35: which is a combination of the Dirichlet and Neumann conditions.

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