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Ergänzungen

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Lineare Algebra

Part of the book series: Grundstudium Mathematik ((GM))

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Notes

  1. 1.

    Einen ersten kurzen Überblick bietet Kapitel 12 von O. Deiser, C. Lasser, E. Vogt, D. Werner, 12×12 Schlüsselkonzepte zur Mathematik. 2. Auflage, Springer Spektrum 2016.

  2. 2.

    S. Wagon, The Banach-Tarski Paradox. Cambridge University Press 1985.

  3. 3.

    Einen Beweis findet man zum Beispiel in P. Halmos, Naive Mengenlehre, Vandenhoeck & Ruprecht 1976.

  4. 4.

    Definitionsgemäß ist ∑i ∈ ∅vi = 0.

  5. 5.

    Wie soll man das aussprechen? Ich schlage „V  dual“ vor.

  6. 6.

    P.D. Denton, S.J. Parke, X. Zhang, Eigenvalues: the Rosetta Stone for neutrino oscillations in matter.arXiv:1907.02534.

  7. 7.

    P.D. Denton, S.J. Parke, T. Tao, X. Zhang, Eigenvectors from eigenvalues: a survey of a basic identity in linear algebra.arXiv:1908.03795v2.

  8. 8.

    Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Trans. Inform. Theory 52, 489–509 (2006).

  9. 9.

    Compressed sensing. IEEE Trans. Inform. Theory 52, 1289–1306 (2006).

  10. 10.

    Theorem 9.2 in S. Foucart und H. Rauhut, A Mathematical Introduction to Compressive Sensing. Birkhäuser 2013. Dies ist das Standardwerk zu Compressed Sensing.

  11. 11.

    https://www.youtube.com/watch?v=W-b4aDGsbJk.

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Werner, D. (2022). Ergänzungen. In: Lineare Algebra. Grundstudium Mathematik. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-91107-2_10

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