A Theory of Ordinary p-Adic Curves by Mochizuki S.

By Mochizuki S.

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Wie wird eine 3 × 3 Determinanten berechnet? 16. Erl¨autern Sie den Laplace’schen Entwicklungssatz zur Berechnung allgemeiner Determinanten! 17. Was ist ein Eigenwert einer quadratischen Matrix? 5 Lineare Gleichungssysteme und der Gauß-Algorithmus 45 18. Was ist ein Eigenvektor einer quadratischen Matrix? 19. Wie werden Eigenwerte und Eigenvektoren einer quadratischen Matrix berechnet? ¨ 20. Was versteht man unter der Ahnlichkeit von Matrizen? Methodenfragen ¨ 1. Die erweiterte Koeffizientenmatrix eines linearen Gleichungssystems aufstellen konnen.

Wie viele Primzahlen gibt es? 7. Wie lautet der Fundamentalsatz der Zahlentheorie? 8. Kennen Sie einen einfachen Primzahltest? 9. Erl¨autern Sie das Sieb des Erathostenes! 10. Erl¨autern Sie die Funktion π (n)! ¨ 11. Wie lautet die Definition des großten gemeinsamen Teilers? ¨ ¨ den großten ¨ 12. Welche Berechnungsmoglichkeiten fur gemeinsamen Teiler kennen Sie? 13. Was ist eine diophantische Gleichung? 14. Wie verl¨auft der Euklidische Algorithmus? 15. Wie verl¨auft der verallgemeinerte Euklidische Algorithmus?

Die Funktion π (n) mit Hilfe eines Siebs berechnen konnen. ¨ 14. Kongruenzen aufstellen und nachrechnen konnen. ¨ ¨ ¨ 15. Modulare Arithmetik ausfuhren konnen; insbesondere die Kurzungsregel der modularen Division.

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