limit of sequence वाक्य
उदाहरण वाक्य
मोबाइल
- If " X " is a Hausdorff space then limits of sequences are unique where they exist.
- As in the case of limits of sequences, least upper bounds of directed sets do not always exist.
- In fact, a function " f " is continuous if and only if it preserves the limits of sequences.
- The predictable processes form the smallest class that is closed under taking limits of sequences and contains all adapted left-continuous processes.
- However, Riemann integration does not interact well with taking limits of sequences of functions, making such limiting processes difficult to analyze.
- Then a limiting procedure allows assigning probabilities to sets that are limits of sequences of generator sets, or limits of limits, and so on.
- *PM : limit of sequence as sum of series, id = 9858 new !-- WP guess : limit of sequence as sum of series-- Status:
- *PM : limit of sequence as sum of series, id = 9858 new !-- WP guess : limit of sequence as sum of series-- Status:
- In an alternative and more general definition of weakly simple polygons, they are the limits of sequences of simple polygons of the same combinatorial type, with the convergence under the Fr�chet distance.
- In fact, any real-valued function " f " is continuous if and only if it preserves the limits of sequences ( though this is not necessarily true when using more general notions of continuity ).
- Limits of sequences are unique when they exist, as distinct points are separated by some positive distance, so for \ epsilon less than half this distance, sequence terms cannot be within a distance \ epsilon of both points.
- A first countable, separable Hausdorff space ( in particular, a separable metric space ) has at most the closure is determined by limits of sequences and any convergent sequence has at most one limit, so there is a surjective map from the set of convergent sequences with values in the countable dense subset to the points of X.
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