equicontinuous sentence in Hindi
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- The closure of an equicontinuous set is again equicontinuous.
- The closure of an equicontinuous set is again equicontinuous.
- Every finite set of continuous functions is equicontinuous.
- Then is compact in the compact-open topology if and only if it is equicontinuous, pointwise relatively compact and closed.
- It is usually taken to be an equicontinuous, uniformly bounded set of functions, which is compact by the Arzel? Ascoli theorem.
- Every member of a uniformly equicontinuous set of functions is uniformly continuous, and every finite set of uniformly continuous functions is uniformly equicontinuous.
- Every member of a uniformly equicontinuous set of functions is uniformly continuous, and every finite set of uniformly continuous functions is uniformly equicontinuous.
- The unit ball of defines, by restricting from to, a set of ( linear ) continuous functions on that is bounded and equicontinuous.
- As noted above, it actually converges uniformly on a compact subset of " G " if it is equicontinuous on the compact set.
- In particular, the limit of an equicontinuous pointwise convergent sequence of continuous functions " f n " on either metric space or locally compact space is continuous.
- This family of maps { " P " " N " } is equicontinuous and tends to the identity on the dense subset consisting of trigonometric polynomials.
- Suppose that " f n " & prime; are uniformly equicontinuous and uniformly bounded, and that the sequence is pointwise bounded ( or just bounded at a single point ).
- Alaoglu's theorem states that if " E " is a topological vector space, then every equicontinuous subset of " E * " is weak-* relatively compact.
- In the non-i . i . d . case the uniform convergence in probability can be checked by showing that the sequence \ scriptstyle \ hat \ ell ( \ theta \ mid x ) is stochastically equicontinuous.
- When " X " is compact, a set is uniformly equicontinuous if and only if it is equicontinuous at every point, for essentially the same reason as that uniform continuity and continuity coincide on compact spaces.
- When " X " is compact, a set is uniformly equicontinuous if and only if it is equicontinuous at every point, for essentially the same reason as that uniform continuity and continuity coincide on compact spaces.
- As a corollary, a sequence in " C " ( " X " ) is uniformly convergent if and only if it is equicontinuous and converges pointwise to a function ( not necessarily continuous a-priori ).
- Suppose that X, Y, and Z are locally convex spaces and let \ mathcal { G }'and \ mathcal { H }'be the collections of equicontinuous subsets of X ^ * and Y ^ *, respectively.
- Then a subset "'F "'of " C " ( " X " ) is relatively compact in the topology induced by the uniform norm if and only if it is equicontinuous and pointwise bounded.
- Given a barrelled space " X " and a locally convex space " Y ", then any family of pointwise bounded continuous linear mappings from " X " to " Y " is equicontinuous ( even uniformly equicontinuous ).
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equicontinuous sentences in Hindi. What are the example sentences for equicontinuous? equicontinuous English meaning, translation, pronunciation, synonyms and example sentences are provided by Hindlish.com.