least upper bound वाक्य
उदाहरण वाक्य
मोबाइल
- Now we prove the least upper bound property.
- So the least upper bound is infinite.
- Theory curbing selects such least upper bounds models in addition to the ones selected by circumscription.
- The real numbers also have an important but highly technical property called the least upper bound property.
- This least upper bound is defined to be the irrationality measure of " x ".
- These are posets in which every upward-directed set is required to have a least upper bound.
- Hence, 0 is the least upper bound of the negative reals, so the supremum is 0.
- Another example is the hyperreals; there is no least upper bound of the set of positive infinitesimals.
- As in the case of limits of sequences, least upper bounds of directed sets do not always exist.
- Then it has a least fixpoint there, giving us the least upper bound of " W ".
- In the terminology of that program, the least upper bound principle is equivalent to ACA 0 over RCA 0.
- Instead of just adding the least upper bounds for pairs, add the least upper bounds for every finite subset.
- Instead of just adding the least upper bounds for pairs, add the least upper bounds for every finite subset.
- More formally, real numbers have the two basic properties of being an ordered field, and having the least upper bound.
- More specifically, among the models of the formula, the excluded model is the least upper bound of the two selected models.
- By definition, the arc length of a curve is the least upper bound of the lengths of all polygonal approximations of the curve.
- In the formalization of order theory, this is just the "'least upper bound "'of the directed set.
- The motivation for considering completeness properties derives from the great importance of suprema ( least upper bounds, union of a collection of sets ).
- Has an upper bound in, but does not have a least upper bound in ( since the square root of two is irrational ).
- It should be noted, though, that this proof of the completeness of the real numbers implicitly makes use of the least upper bound axiom.
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