Doc Savage: His Apocalyptic Life (Wold Newton, Book 2) by Philip José Farmer

By Philip José Farmer

Biography of the famed Clark Savage, Jr. the writer swears each observe is right! encompasses a biographical essay on every one of his associates and collaborators; an extended article about the genealogy of document Savage (you could be surprised at who's incorporated in that tree!); and, a boon to creditors far and wide, a listing of the entire Savage novels of their order of book.

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Additional resources for Doc Savage: His Apocalyptic Life (Wold Newton, Book 2)

Sample text

1. Problemstellung, Grtindlagen eines Vektors in der Ebene nach dem Satz des PYTHAGORAS laJl := Vxf + x~. ung in der Form (V3) oder (13) kann fUr diese anschauliche Vektornorm unmittelbar aus Abb. 4 abgelesen werden. Als Verallgemeinerung der Lange von Vektoren verwendet man im N -dimensionalen die Norm Ra~m IIxIl 2 := N (~X;)1/2 (Euklidische Norm). n=l (14) Weniger anschaulich, aber fUr Abschatzungen oft bequemer sind die Normen IIxll oo := max IXnl n=l(l)l\- und IIxlll := N ~ n=l IXnl (Maximumnorm, Oebysev-Norm) (15) (Betragssummennorm, Manhattan-Norm).

20. Man gebe elementare Matrizen an, ~lie bei der Linksmultiplikation mit einer Matrix A deren k-te und j-te Zeile vertauschen bzw. das l-fache del' k-ten Zeile zur j-ten Zeile addieren. Was bewirkt die Rechtsmultiplikation von A mit denselben elementaren Matrizen? 41. = 1 . 42. Man zeige: Die Sherman-Morrison-Formel bleibt gultig, wenn man die NVektoren u und v durch N X lvl-Matrizen U und Versetzt: (A - UyT)-l = A-I A-IU(I _ yTA-IU)-1 VTA-l. 2.

Oktaedrische Norm. 5. 12 recht unterschiedlichen Werte besteht eine gewisse qualitative Vbereinstimmung: Fur einen Vektor mit kleiner Lange werden aIle Normen klein ausfallen, und fur Vektoren mit groBer Lange groB. 12 (Norm-Aquivalenz). Sind 11·11 und 11·11' zwei beliebige Vektornormen, so existieren zwei solche (moglicherweise von N abhangenden) positiven Zahlen c und d, daft fur alle X aus /R N d{e Ungleichung ollxll :::;; Ilxll' < dllxll gilt. 3. 22). 23, vgl. COLLATZ [1], S. 133, SCHWETLICK [1], S.

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