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Der Längste e*pvp thread IV

Discussion on Der Längste e*pvp thread IV within the Off Topic forum part of the Off-Topics category.

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Old 10/08/2008, 18:20   #12031


 
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moin
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Old 10/08/2008, 18:23   #12032

 
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deutsch lernen -.-
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Old 10/08/2008, 18:28   #12033
 
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das haste nötig
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Old 10/08/2008, 18:31   #12034


 
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olololol
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Old 10/08/2008, 18:32   #12035

 
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obi muss deutsch lernen?
was lernt man denn da?
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Old 10/08/2008, 18:32   #12036


 
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deutsch
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Old 10/08/2008, 18:32   #12037
 
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na deutsch ^^
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Old 10/08/2008, 18:36   #12038

 
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ja was genau? ich lern nie für deutsch (zeugnisnote 3+)
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Old 10/08/2008, 18:43   #12039

 
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Kommunikations Modelle nach Schulz von Thun, Watzlawik und so
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Old 10/08/2008, 18:44   #12040

 
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aha ok
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Old 10/08/2008, 18:48   #12041

 
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usw. halt


btw

y = u+v. Wegen y³ = (u+v)³ = u³ + 3u²v + 3uv² + v³ = u³ + 3uv(u+v) + v³ ist also y³ = 3uvy + (u³+v³) = -ay-b. Ein Vergleich der Koeffizienten liefert die Gleichung (I) 3uv = -a und die Gleichung (II) u³+v³ = -b. Aus Gleichung I folgt: v = -a/3u, und in II eingesetzt ergibt das: u³ - a³/27u³ + b = 0 ⇒ u6 + bu³ - a³/27 = 0. Mit ´:= u³ erhalten wir daraus: ´² + b·´ - a³/27 = 0. Die ´-Lösungen lauten also: -b/2 ± √b²/4 + a³/27 , und u hat somit die Lösungen: (-b/2 ± √b²/4 + a³/27)1/3. Natürlich ist v von gleicher Gestalt, aber wegen u³ + v³ = -b müssen die Vorzeichen der beiden Quadratwurzeln verschieden sein. Damit haben wir bereits die Cardanische Formel: y = u + v = (-b/2 + √b²/4 + a³/27)1/3 + (-b/2 - √b²/4 + a³/27)1/3 Falls die Diskriminante D:= b²/4 + a³/27 positiv ist, existieren drei verschiedene y-Lösungen, wobei die einzige reelle Lösung direkt an der obigen Formel abzulesen ist. Im Falle D = 0 gibt es nur reelle Lösungen, von denen mindestens zwei gleich sind - wenn a = b = 0 ist, sind sogar alle drei Lösungen gleich. Für D < 0 existieren drei verschiedene reelle Lösungen, die aber i.A. nicht durch reelle Radikale darstellbar sind (Casus irreducibilis).
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Old 10/08/2008, 19:10   #12042
 
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jo logisch
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Old 10/08/2008, 19:22   #12043
 
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scho kla
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Old 10/08/2008, 19:24   #12044
 
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hmm geh ich mit na freundin sushi essen obwohl ich kb hab oder hau ich mir ne pizza rein??

2,100! :P
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Old 10/08/2008, 19:27   #12045
 
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willste heute *** haben oder dir einen rubbeln ?
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