Übersetzung für '
root of unity' von Englisch nach Deutsch
21 Übersetzungen
Neue Wörterbuch-Abfrage: Einfach jetzt tippen!
Anwendungsbeispiele Englisch
weitere Beispiele ...
- Similar statistical laws also hold for splitting of primes in the cyclotomic extensions, obtained from the field of rational numbers by adjoining a primitive root of unity of a given order.
- This work used a mixture of geometric techniques and various reductions, led to introduction of various objects generalizing Hecke algebras and detailed understanding of their representations (for "q" not a root of unity).
- A theorem of Kronecker states that if "α" is a nonzero algebraic integer such that "α" and all of its conjugates in the complex numbers have absolute value at most 1, then "α" is a root of unity.
- The details have been described by Witten who shows that the partition function for a (framed) link in the 3-sphere is just the value of the Jones polynomial for a suitable root of unity.
- The field of Gaussian rationals provides an example of an algebraic number field, which is both a quadratic field and a cyclotomic field (since "i" is a 4th root of unity).
- It may also be defined as the monic polynomial with integer coefficients that is the minimal polynomial over the field of the rational numbers of any primitive "n"th-root of unity ([...] is an example of such a root).
- is a cube root of unity. This is the ring of Eisenstein integers, and he proved it has the six units [...] and that it has unique factorization.
- The ring "Z"/"NZ" would thus have a (2"m")th root of unity, namely 8. Also, it can be checked that "ck" < "N", and thus no wrap around will occur.
- An odd prime number "p" is defined to be regular if it does not divide the class number of the "p"-th cyclotomic field Q("ζ'p"), where "ζ'p" is a primitive "p"-th root of unity, it is listed on [...].
- Suppose that ζ is an [...] th root of unity for some odd prime [...].
© dict.cc English-German dictionary 2024
Enthält Übersetzungen von der TU Chemnitz sowie aus Mr Honey's Business Dictionary (nur Englisch/Deutsch).
Links auf das Wörterbuch oder auch auf einzelne Übersetzungen sind immer herzlich willkommen!