Examples of 'dedekind' in a sentence
Meaning of "dedekind"
Dedekind (noun) - Dedekind is a surname, often used in mathematics to refer to concepts such as Dedekind cuts in real analysis
How to use "dedekind" in a sentence
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dedekind
Dedekind competes in swimming and goalball.
We will construct r using the dedekind cuts and show the main properties of this set.
Dedekind had three older siblings.
These are the prototypical examples of Dedekind domains.
Dedekind was the son of a lawyer.
Construction of the reals via Dedekind cuts.
Dedekind zeta function.
The previous example can be generalized to Dedekind domains.
Dedekind eta function.
Real numbers can be constructed as Dedekind cuts of rational numbers.
Dedekind who found a satisfactory definition of real numbers in terms of the rational numbers.
He became a good friend of Dedekind.
R is a local Dedekind domain and not a field.
An example of a number field that is not monogenic was first given by Dedekind.
Richard Dedekind introduced the concept of a ring.
See also
The number of such functions on n variables is known as the Dedekind number of n.
He and Dedekind exchanged correspondence for many years.
Frobenius elements in a Galois group of global fields were first created by Dedekind.
The Dedekind discriminant tells us it is the only ultrametric place which does.
The third edition of this work includes two supplements by Dedekind.
See Dedekind completeness for more general concepts bearing this name.
A cut with exactly one endpoint is called a principal or Dedekind cut.
For a Dedekind domain this is of course the same as the ideal class group.
The number of elements in this lattice is given by the Dedekind numbers.
Dedekind introduced them to express the functional equation of the Dedekind eta function.
There is another equivalent definition of computable numbers via computable Dedekind cuts.
The Picard group of the spectrum of a Dedekind domain is its ideal class group.
A similar problem occurs when the computable reals are represented as Dedekind cuts.
A certain subset of this cycle of cuts is the Dedekind completion of the original cycle.
This fact is the ultimate generalization of the decomposition into prime ideals in Dedekind rings.
This is the Dedekind discriminant theorem.
These algebraic approximations can be exactly expressed in terms of Dedekind eta quotients.
Field norm Dedekind zeta function.
All principal ideal domains and therefore all discrete valuation rings are Dedekind domains.
It can be shown in ZF that weakly Dedekind infinite sets are infinite.
This is a list of things named after Richard Dedekind.
The function was introduced by Richard Dedekind in connection with modular functions.
Multisets appeared explicitly in the work of Richard Dedekind.
Dedekind sums have a large number functional equations ; this article lists only a small fraction of these.
Some authors add the requirement that a Dedekind domain not be a field.
Dedekind supported it, but delayed its publication due to Kronecker 's opposition.
All abelian groups are Dedekind groups.
Dedekind returned to Göttingen to teach as a Privatdozent, giving courses on probability and geometry.
Then the coordinate ring k of regular functions on C is a Dedekind domain.
Every proper quotient of a Dedekind domain is self-injective.
A is a discrete valuation ring equivalently A is Dedekind.
Also, a Dedekind domain is a UFD if and only if its ideal class group is trivial.
Most notably, he developed the theory of Dedekind sums.
For Dedekind domains with all quotients by maximal ideals finite, SK1 is a torsion group.
See local ring, perfect ring and Dedekind ring.
