Definition:Uniform Convergence/Also defined as
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Uniform Convergence: Also defined as
In definining uniform convergence, some sources insist that $N \in \N$, but this is unnecessary and makes proofs more cumbersome.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): uniform convergence
- 2000: James R. Munkres: Topology (2nd ed.): $\S 21$
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): uniform convergence
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): uniform convergence