| 1. | The Archimedean property is related to the concept of cofinality.
|
| 2. | The Archimedean property puts it on a somewhat firmer foundation.
|
| 3. | But Cauchy completeness and the Archimedean property taken together are equivalent to the others.
|
| 4. | Axiom 4 implies the Archimedean property.
|
| 5. | They also provide an example of a " nonarchimedean field " ( see Archimedean property ).
|
| 6. | Instead of continuity, an alternative axiom can be assumed that does not involve a precise equality, called the Archimedean property.
|
| 7. | :A further remark : the last step above would tend to use the so-called Archimedean property of the real numbers.
|
| 8. | Additionally, the Archimedean property stated as definition 4 of Euclid's book V is originally due not to Archimedes but to Eudoxus.
|
| 9. | This is ruled out by the Archimedean property of the real numbers . talk ) 01 : 22, 27 December 2013 ( UTC)
|
| 10. | Some proofs that 0.999 & = 1 rely on the Archimedean property of the real numbers : that there are no nonzero infinitesimals.
|
मोबाइल