open cover sentence in Hindi
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- While it was taking off, it apparently hit the open cover of a runway light, so this caused some damage to the landing gear,
- But then you notice that the two rectangles actually form a giant ink pad, and that the silver metal half is its open cover.
- It turns out that after doing this, there is an open cover of the curve by two affine charts : the one already given by
- A point is zero-dimensional with respect to the covering dimension because every open cover of the space has a refinement consisting of a single open set.
- Since C _ 0 ?" S is compact and ( U _ n ) is an open cover of it, we can extract a finite cover.
- By taking a direct limit of ech cohomology over arbitrarily fine covers, we obtain a ech cohomology theory that does not depend on the open cover chosen.
- Since E has measure zero, there exists an open cover A of E consisting of disjoint intervals where the sum of the lengths is less than ?.
- In fact, a T 1 space is Hausdorff and paracompact if and only if it admits partitions of unity subordinate to any open cover ( see below ).
- Is an open cover of, then the calculation of the integral asymptotic is reduced to the case of a singe saddle point by employing the partition of unity.
- An open cover of a space " X " is " locally finite " if every point of the space has a finitely many sets in the cover.
- In a paracompact Hausdorff space X \,, if \ mathcal { O } \, is an open cover, then there exists a partition of unity subordinate to it.
- These facts are particularly important because shrinking of open covers is a common technique in the theory of differential manifolds and while constructing functions using a partition of unity.
- For a cohomology class represented by closed form in, express as a difference of forms via a partition of unity subordinate to the open cover } }, for example.
- I know that a space X is Lindel�f if every open cover has a countable subcover and that X is a second countable space of its topology has a countable basis.
- Peter Gustav Lejeune Dirichlet was the first to prove this and implicitly he used the existence of a finite subcover of a given open cover of a closed interval in his proof.
- Commonly seen in industrial applications such as the pictured pneumatic cylinder, they are also used in consumer equipment; for example some computer printers use them to detect missing paper and open covers.
- In terminology of mathematical analysis, this definition requires that there be a sequence of open covers of " A " for which the limit of the lengths of the covers is zero.
- Therefore, there is a countable collections of open intervals in which is an open cover of " X " " ? ", such that the sum over all their lengths is arbitrarily small.
- These interiors consist of a finite open cover of " X " 1 / " n ", possibly up to a finite number of points ( which may fall on interval edges ).
- Where \ check H ^ q ( \ mathcal U, \ mathcal F ) is the q-th ech cohomology group of \ mathcal F with respect to the open cover \ mathcal U.
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