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The title of Schiller's poem " An die Freude " is literally translated as " To Joy ", but is normally called the " Ode to Joy ".

However, Beethoven did not retain this version, and kept rewriting until he had found its final form, with the words " O Freunde, nicht diese Töne " (" O friends, not these tones ").

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The word " cipher " in former times meant " zero " and had the same origin: Middle French as < span lang =" fr "> cifre </ span > and Medieval Latin as cifra, from the Arabic صفر ṣifr = zero ( see Zero — Etymology ).

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A portrait of the three Consuls ,< span lang =" fr "> Jean Jacques Régis de Cambacérès </ span >, < span lang =" fr "> Napoleon I of France | Napoleon Bonaparte </ span > and < span lang =" fr "> Charles-François Lebrun, duc de Plaisance | Charles-François Lebrun </ span > ( left to right )

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< div class =" thumbcaption "> The bouncing ball animation ( below ) consists of these six frames .</ div >

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Louis XVIII's restoration to the throne in 1814 was effected largely through the support of Napoleon's former foreign minister, < span lang =" fr "> Talleyrand </ span >, who convinced the victorious Allied Powers of the desirability of a < span lang =" fr "> Bourbon </ span > Restoration.

< span lang =" fr "> Louis </ span >, in accordance with the Declaration of Saint-Ouen, granted a written constitution, the Charter of 1814, which guaranteed a bicameral legislature with a hereditary / appointive Chamber of Peers and an elected Chamber of Deputies – their role was consultative ( except on taxation ), as only the King had the power to propose or sanction laws, and appoint or recall ministers.

Many of the legal, administrative, and economic reforms of the revolutionary period were left intact ; the Napoleonic Code, which guaranteed legal equality and civil liberties, the peasants ' biens nationaux, and the new system of dividing the country into < span lang =" fr "> départments </ span > were not undone by the new king.

After a first sentimental flush of popularity, < span lang =" fr "> Louis </ span >' gestures towards reversing the results of the French Revolution quickly lost him support among the disenfranchised majority.

< span lang =" fr "> Louis </ span >' chief ministers were at first moderate, including < span lang =" fr "> Talleyrand </ span >, the < span lang =" fr "> Duc de Richelieu </ span >, and < span lang =" fr "> Élie, duc Decazes </ span >; < span lang =" fr "> Louis </ span > himself followed a cautious policy.

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However, in 2002, Amnon Neeman and Pierre Deligne constructed an example of such a system in a category satisfying ( AB4 ) ( in addition to ( AB4 *)) with lim 1 A i ≠ 0.

* Magnolia baillonii Pierre .

* Magnolia champaca ( L .) Baillon ex Pierre .

Pierre de Fermat first stated the theorem in a letter dated October 18, 1640, to his friend and confidant Frénicle de Bessy as the following: p divides a p − 1 − 1 whenever p is prime and a is coprime to p.

Important personalities were Pierre Paul Royer-Collard, François Guizot, and the count of < span lang =" fr "> Serre </ span >.

< span lang =" fr "> Bonaparte </ span >' s cleverness lay in counterposing < span lang =" fr "> Pierre Claude François Daunou </ span >' s plan to that of < span lang =" fr "> Sieyès </ span >, and in retaining only those portions of both which could serve his ambition.

In 1976, Lowell Schoenfeld showed that for n ≥ 2010760, there is always a prime between n and ( 1 + 1 ⁄ 16597 ) n. In 1998, Pierre Dusart improved the result in his doctoral thesis, showing that for k ≥ 463, p k + 1 ≤ ( 1 + 1 ⁄( ln 2 p k )) p k , and in particular for x ≥ 3275, there exists a prime number between x and ( 1 + 1 ⁄( 2ln 2 x )) x.

< span lang =" fr "> Pierre Nora ), tome III, Quarto Gallimard, 1997, pp. 4353 – 4389 </ span > ( abridged translation, Realms of Memory, Columbia University Press, 1996 – 1998 )</ ref >).

The provisional government having resigned, the republican and anti-socialist majority on the 9 May entrusted the supreme power to an Executive Commission consisting of five members: < span lang =" fr "> Arago </ span >, < span lang =" fr "> Pierre Marie de Saint-Georges </ span >, < span lang =" fr "> Garnier-Pagès </ span >, < span lang =" fr "> Lamartine </ span > and < span lang =" fr "> Ledru-Rollin </ span >.

* Mexico, with its contrasts, its crushing poverty and sparkling wealth, its institutionalised corruption and cultural wisdom, its love of life and its embracing of death, undoubtedly set me on a path toward the deep end, philosophically and emotionally speaking .– DBC Pierre < ref > DBC Pierre-Books: Meet the Writers at barnesandnoble. com

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