Ostrowski's theorem

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Theorem statement

If and only if Topology Real number Rationals Absolute value

9 related topics

Proof

Positive integer P-adic valuation Base Triangle inequality By way of contradiction

8 related topics

Another Ostrowski's theorem

Real numbers Complex numbers

2 related topics

Overview

Number theory Alexander Ostrowski Absolute value Rational numbers P-adic

5 related topics

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Overview

Number theory
Alexander Ostrowski
Absolute value Absolute value (algebra)
Rational numbers Rational number
P-adic P-adic number

Theorem statement

Proof

Positive integer Natural number
P-adic valuation
Base Radix
Triangle inequality
By way of contradiction Reductio ad absurdum
Bézout's identity
Coprime
◼ {\displaystyle \blacksquare } Q.E.D.

Another Ostrowski's theorem

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Map overview Semantic statistics

Nodes29

Edges28

Triples4

Avg. degree1.93

Density0.068966

Components1

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