Examples of 'p-adic numbers' in a sentence
Meaning of "p-adic numbers"
p-adic numbers: In mathematics, p-adic numbers form a generalization of the ordinary arithmetic of rational numbers. They are a type of number system that is used in number theory, algebraic geometry, and other branches of mathematics. P-adic numbers have unique properties and arithmetic operations based on the concept of p-adic valuation
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- plural of p-adic number
How to use "p-adic numbers" in a sentence
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p-adic numbers
An example of such a space is the p-adic numbers.
The p-adic numbers form a complete ultrametric space.
We start with an informal introduction to p-adic numbers.
The p-adic numbers are an alternative number system of interest in number theory.
This course will be an introduction to the p-adic numbers.
Abstract, P-Adic numbers are a field in arithmetic analoguous to the real numbers.
It can be defined over either real or p-adic numbers.
The space Qp of p-adic numbers is complete for any prime number pp.
A very simple very brief introduction to p-adic numbers.
The p-adic numbers form a field for prime p and a ring for other p, including 10.
Hensel is well known for his introduction of p-adic numbers.
Those p-adic numbers for which ai 0 for all i < 0 are also called the p-adic integers.
Banach algebras can also be defined over fields of p-adic numbers.
P-adic Numbers and the Local-to-Global Principle.
The completion of Q with respect to vp is the field Qp of p-adic numbers.
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Hensel invents the p-adic numbers.
With this approach we obtain the p-adic expansions of the p-adic numbers.
Fraenkel 's early work was on Kurt Hensel 's p-adic numbers and on the theory of rings.
Bijective base-k numeration is also called k-adic notation, not to be confused with p-adic numbers.
As metric spaces, both the p-adic integers and the p-adic numbers are complete.
The " Teichmüller representative " or " Teichmüller character " is a construction with p-adic numbers.
Arithmetic of the p-adic Numbers.
Where k is some ( not necessarily positive ) integer, we obtain the field Qp of p-adic numbers.
Kurt Hensel introduced p-adic numbers.
Or, in fact, if you fill them in differently, the p-adic numbers.
Mathematician = = Fraenkel 's early work was on Kurt Hensel 's p-adic numbers and on the theory of rings.
Let K be a finite extension of the p-adic numbers Qp.
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Examples of using P-adic
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The ring of p-adic integers is an integral domain
An example of such a space is the p-adic numbers
The p-adic numbers form a complete ultrametric space
Examples of using Numbers
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Numbers are taped to the back of the phone
And fills our numbers with warriors
The numbers are even more compelling here