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  • MMM – Memos on Math/Music: This site lists memos on music and math by the site owner.

    MMM – Memos on Math/Music: This site lists  memos on music and math by the site owner.

    The music will be listed as mp3 files. Those files have a portrait of the composer as an eye-catcher:

    e.g., J. S. Bach’s music on periodic instrumentation has the following portrait,

    whereas modern interpretation of J.S. Bach’s music has the following portrait.

    Many thanks from the site owner to MuseScore https://musescore.com/ without which he can never create mp3 files.

    The math will be listed as PDF files. Some of them are typed using conventional word processors, and others are in LaTeX. Those files have “Girl with a Pearl Earring” by  Johannes Vermeer as an eye-catcher: see below.

    The site owner would like to express his appreciation to his cousin and the spouse (of the cousin) for suggesting that he should set up a site to list his “achievement” so far.

    To view the content, click the URL line for each index below.

    ———————————————————————-

    Index for the work by J. S. Bach

    https://wordpress.com/post/mathmusic52.com/2030

    ———————————————————————-

    Index for memo on mathematics

    https://wordpress.com/post/mathmusic52.com/2038


    Index for the work by D. Scarlatti

    https://wordpress.com/post/mathmusic52.com/2043

    2022年12月22日
    Introduction
    Mathematics, Music
  • BWV 876: J. S. Bach “Prelude and Fugue” in E flat major, The Well-Tempered Clavier II-VII

    BWV 876: J. S. Bach “Prelude and Fugue” in E flat major, The Well-Tempered Clavier II-VII
    2023年2月24日
    Music
    BWV 876, J. S. Bach, The Well-Tempered Clavier II
  • BWV 875: J. S. Bach “Prelude and Fugue” in D minor, The Well-Tempered Clavier II-VI

    BWV 875: J. S. Bach “Prelude and Fugue” in D minor, The Well-Tempered Clavier II-VI
    2023年2月23日
    Music
    BWV 875, J. S. Bach, The Well-Tempered Clavier II
  • BWV 874: J. S. Bach “Prelude and Fugue” in D major, The Well-Tempered Clavier II-V

    BWV 874: J. S. Bach “Prelude and Fugue” in D major, The Well-Tempered Clavier II-V
    2023年2月22日
    Music
    BWV 874, J. S. Bach, The Well-Tempered Clavier II
  • The Eckmann-Hilton argument

    The Eckmann-Hilton argument

    This “argument” is famous for being used to prove the commutativity of the fundamental groups of H-spaces, hence the commutativity of higher homotopy groups.

    eckmannhiltonDownload
    2023年2月21日
    Mathematics
    Abstract algebra, Algebra, Modern algebra
  • BWV 873: J.S. Bach “Prelude and Fugue” in C sharp minor, The Well-Tempered Clavier II-IV

    BWV 873: J.S. Bach “Prelude and Fugue” in C sharp minor, The Well-Tempered Clavier II-IV
    2023年2月21日
    Music
    BWV 873, J. S. Bach, The Well-Tempered Clavier II
  • BWV 872: J. S. Bach “Prelude and Fugue” in C sharp major, The Well-Tempered Clavier II-III

    BWV 872: J. S. Bach “Prelude and Fugue” in C sharp major, The Well-Tempered Clavier II-III
    2023年2月20日
    Music
    BWV 872, J. S. Bach, The Well-Tempered Clavier II
  • BWV 871: J.S. Bach “Prelude and Fugue” in C minor, The Well-Tempered Clavier II-II

    BWV 871: J.S. Bach “Prelude and Fugue” in C minor, The Well-Tempered Clavier II-II
    2023年2月19日
    Music
    BWV 871, J. S. Bach, The Well-Tempered Clavier II
  • BWV 870: J. S. Bach “Prelude and Fugue” in C major, The Well-Tempered Clavier II-I

    BWV 870: J. S. Bach “Prelude and Fugue” in C major, The Well-Tempered Clavier II-I
    2023年2月18日
    Music
    BWV 870, J. S. Bach, The Well-Tempered Clavier II
  • On some factor ring of a polynomial ring over Z

    On some factor ring of a polynomial ring over Z

    factorringDownload
    2023年2月17日
    Mathematics
    Abstract algebra, factor rings, Modern algebra, Polynomial over Z
  • BWV 869: J. S. Bach “Prelude and Fugue” in B minor, The Well-Tempered Clavier I-XXIV

    BWV 869: J. S. Bach “Prelude and Fugue” in B minor, The Well-Tempered Clavier I-XXIV
    2023年2月17日
    Music
    BWV 869, J. S. Bach, The Well-Tempered Clavier I
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