Axiom Archimedes or Archimedean property is the property of having no infinitely or infinitely small elements. It was derived from the work of Archimedes, known as the Axiom V of Archimedes, on Spheres and Cylinders. Try to ace this quiz.
Holms
Otto Stolz
Ostrowski
Archimedes
It contains irrational number
If x is infinitesimal its inverse is also infinite
It contains rational number
If x is infinitesimal and r is rational their products are also infinite
Strowski theorem
Archimedean
Non-Archimedean
Heron's theorem
Cinematography
Local field
Mechanics
Medicine
1970s
1980s
1880s
1870s
Let x be any element of K. Then there exists a rational number r such that r > x
Let x be any element of K. Then there exists a natural number n such that n = x
Let x be any element of K. Then there exists a natural number n such that n < x
Let x be any element of K. Then there exists a natural number n such that n > x
Ordered field
Strowski determinant
Axiom constant
Archimedes constant
Index structure
Strowski Structure
Algebraic structure
Rational number structures
Irrational function
Rational function
Real number function
Strowski constant
The natural numbers are cofinal in K
For any x in K the set of integers greater than x has a least element
Zero is the infimum of a set
Every nonempty open interval of K contains a natural number
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