archimedean property वाक्य
उदाहरण वाक्य
मोबाइल
- The Archimedean property is related to the concept of cofinality.
- The Archimedean property puts it on a somewhat firmer foundation.
- But Cauchy completeness and the Archimedean property taken together are equivalent to the others.
- Axiom 4 implies the Archimedean property.
- They also provide an example of a " nonarchimedean field " ( see Archimedean property ).
- Instead of continuity, an alternative axiom can be assumed that does not involve a precise equality, called the Archimedean property.
- :A further remark : the last step above would tend to use the so-called Archimedean property of the real numbers.
- Additionally, the Archimedean property stated as definition 4 of Euclid's book V is originally due not to Archimedes but to Eudoxus.
- This is ruled out by the Archimedean property of the real numbers . talk ) 01 : 22, 27 December 2013 ( UTC)
- Some proofs that 0.999 & = 1 rely on the Archimedean property of the real numbers : that there are no nonzero infinitesimals.
- Ao [ 's theorem does not apply to the Archimedean property, because the Archimedean property cannot be stated in first-order logic.
- Ao [ 's theorem does not apply to the Archimedean property, because the Archimedean property cannot be stated in first-order logic.
- The reason is that these numbers are known ( by a theorem ) to be irrational, and the real number system satisfies the Archimedean property.
- In fact, the Archimedean property is false for the hyperreals, as shown by the construction of the hyperreal number " ? " above.
- :: : Unfortunately, you have to click through to read about the Archimedean property . talk ) 17 : 19, 27 December 2013 ( UTC)
- The last step, that ?! 0 as " n " ?! ", is often justified by the Archimedean property of the real numbers.
- If we allow more parameters, for instance all of the reals, we can specify a type \ { 0 that is realized by an infinitesimal hyperreal that violates the Archimedean property.
- A crucially important property of the real numbers is that it is an Archimedean field, meaning it has the Archimedean property that for any real number, there is an integer larger than it in absolute value.
- There are two senses in which the term may be used, referring to geometries over fields which violate one of the two senses of the Archimedean property ( i . e . with respect to order or magnitude ).
- Super Dedekind completeness implies Dedekind completeness; Dedekind completeness implies both Dedekind-completeness and the projection property; Both Dedekind ?-completeness and the projection property separately imply the principal projection property; and the principal projection property implies the Archimedean property.
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