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Liouville number
Liouville number In number theory, a Liouville number is a real number x with ... − p/q| < 1/q n . A Liouville number can then be approximated "quite closely ... easily proven that if x is a Liouville number, x is irrational. Assume otherwise; then ... contradicts the above definition. In 1844, Joseph Liouville showed that numbers with this property ...
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Liouville function
Liouville function The Liouville function, denoted by λ(n) and named after Joseph Liouville, is an important function in number theory ... 0 and therefore λ(1)=1. The Liouville function satisfies the identity: otherwise. The Liouville function is related to the Riemann ...
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Liouville (crater)
Liouville (crater) Crater characteristics Coordinates 2.6° N ... Unknown Colongitude 287 at sunrise Eponym Joseph Liouville Liouville is a small lunar impact crater that ...
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Joseph Liouville
Joseph Liouville Joseph Liouville (born March 24 1809, died September 8 1882) was a French mathematician. Joseph Liouville Liouville graduated from the École Polytechnique in 1827 ... he was very talented in organisatorial matters. Liouville founded the Journal de Mathématiques Pures ...
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Liouville number (translated from German)
Liouville number As Liouville number designates one in that Number theory ... q)? 1q n Contradiction. 1844 showed Joseph Liouville , that numbers with this characteristic are not ...
http://de.wikipedia.org/wiki/Liouvillesche_Zahl - 1k - Cached (German) - Wikipedia (German) - Similar pages
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Liouville equation (translated from German)
Liouville equation Those Liouville equation, after Joseph Liouville , a description of the temporal development of ... Of Von-Neumann' motion equation called. The Liouville equation means descriptive, that the volume of ... of the phase space coordinates designates. From Liouville equation directly that follows Sentence of ...
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Joseph Liouville (translated from German)
Joseph Liouville Joseph Liouville (* 24. March 1809 in Saint Omer? 8 ... mechanism chair. Apart from its outstanding research Liouville was also a very good supervisor. It ... seized. They appeared 1846 in its journal. Liouville was also occasionally politically active and became ... he withdrew himself however from the policy. Liouville worked in numerous mathematical subsections, under ...
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Joseph Liouville (translated from French)
Joseph Liouville Joseph Liouville Joseph Liouville ( 24 March 1809 with Saint-Omer - 8 ... very talented in the matters of organisation . Liouville founded it Newspaper of Mathematics Pure and ... in 1846 , and to recognize their importance. Liouville was also implied in politic during ...
http://fr.wikipedia.org/wiki/Joseph_Liouville - 4k - Cached (French) - Wikipedia (French) - Similar pages
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Liouville's theorem
Liouville's theorem Liouville's theorem has various meanings: In complex analysis, see Liouville's theorem (complex analysis). In Hamiltonian mechanics, see Liouville's theorem (Hamiltonian). In number theory, the theorem that any Liouville number is transcendental, or the lemma ...
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Talk:Liouville number
Talk:Liouville number Could someone clarify the definition? I don't understand what a Liouville number is. Also, the Liouville constant should be explained better; how is ... The proof would be nice, since the Liouville constant seems to be one of the ... the supremum over all approximating sequences? Are Liouville numbers precisely the numbers with infinite ...
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