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  1. 11. Mai 2024 · Der moderne Ansatz, der auf Richard Dedekind zurückgeht, formuliert die Galoistheorie in der Sprache der algebraischen Strukturen: Ausgehend von einer Körpererweiterung definiert man die Galoisgruppe als die Gruppe aller Körperautomorphismen von , welche die Elemente von einzeln festhalten.

  2. 15. Mai 2024 · What came to be called Dedekind cuts (a notion due to Dedekind (1872)) is a way to make precise the idea that a real number is that which can be approximated (in the absolute value metric) by rational numbers. Dedekind 1872 pointed out that a real number may be uniquely determined its order relationships with rational numbers.

  3. 10. Mai 2024 · 3. 94 views 2 days ago. This video is a commentary of Dedekind two essays : The Nature and Meaning of Numbers, Continuity and Irrational Numbers. After presenting a construction of Natural...

    • 27 Min.
    • 269
    • Holy Math
  4. en.wikipedia.org › wiki › Emmy_NoetherEmmy Noether - Wikipedia

    Vor 2 Tagen · In particular, she developed a completely new theory of ideals in rings, generalizing the earlier work of Richard Dedekind. She is also renowned for developing ascending chain conditions - a simple finiteness condition that yielded powerful results in her hands. [152]

  5. 10. Mai 2024 · Julius Wilhelm Richard Dedekind: Architect of Modern Mathematics #science #climatereality #news #space

  6. en.wikipedia.org › wiki › AdditionAddition - Wikipedia

    Vor 6 Tagen · This definition was first published, in a slightly modified form, by Richard Dedekind in 1872. [66] The commutativity and associativity of real addition are immediate; defining the real number 0 to be the set of negative rationals, it is easily seen to be the additive identity.

  7. 17. Mai 2024 · The history, it should be remembered, is neither linear nor one-dimensional, some of the lines leading back to Charles Babbage and Ada Lovelace, others to George Boole, George Cantor and Richard Dedekind, others yet to Alan Turning, and many crisscrossing between.