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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 χ(''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 ε, 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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