normal convergence meaning in Hindi

Examples

1. Normal convergence implies both local normal convergence and compact normal convergence.
2. Normal convergence implies both local normal convergence and compact normal convergence.
3. Normal convergence implies both local normal convergence and compact normal convergence.
4. And if the domain is locally compact ( even in the weakest sense ), then local normal convergence implies compact normal convergence.
5. And if the domain is locally compact ( even in the weakest sense ), then local normal convergence implies compact normal convergence.
6. For functions defined on a topological space, one can define ( as above ) local uniform convergence and compact normal convergence ( absolute convergence on compact sets ).
7. As well, normal convergence of a series is different from " norm-topology convergence ", i . e . convergence of the partial sum sequence in the topology induced by the uniform norm.
8. :To be honest I can't understand how this allegation could ever have been entertained as a serious possibility, since there is not the slightest shred of evidence to support it, apart from a perfectly normal convergence of views on certain topics.
9. Normal convergence implies norm-topology convergence if and only iff the space of functions under consideration is complete with respect to the uniform norm . ( The converse does not hold even for complete function spaces : for example, consider the harmonic series as a sequence of constant functions ).