boundedness वाक्य
उदाहरण वाक्य
मोबाइल
- Alternatively, it can be argued using the uniform boundedness principle.
- This may be taken as an alternative definition of total boundedness.
- See the discussion on the " boundedness problem " below.
- Thus, boundedness of on its domain does not imply boundedness of.
- Thus, boundedness of on its domain does not imply boundedness of.
- Hence these two theorems imply the boundedness theorem and the extreme value theorem.
- For infinity, the result is a corollary of the uniform boundedness principle.
- He discovered the Koecher boundedness principle in the theory of Siegel modular forms.
- Note that compactness depends only on the topology, while boundedness depends on the metric.
- The properties of total boundedness mentioned above rely in part on the axiom of choice.
- For example, compactness and connectedness are topological properties, whereas boundedness and completeness are not.
- In the absence of the axiom of choice, total boundedness and precompactness must be distinguished.
- Clearly, this also means that boundedness is no longer equivalent to Lipschitz continuity in this context.
- Note that this more general concept of boundedness does not correspond to a notion of " size ".
- The resulting axiom schema is also called the "'axiom schema of boundedness " '.
- Boundedness is characteristic of perfective aspects such as the Ancient Greek stative ( " I knew " ).
- Progress towards boundedness in vertical strips was made by S . S . Gelbart and F . Shahidi.
- Depending on the additional structure defined for the category at hand ( topology, boundedness, and so on.
- It follows from this boundedness that the projections " P " " N " defined by
- That is, we define total boundedness in elementary terms but define precompactness in terms of compactness and Cauchy completion.
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