Difference between revisions of "Talk:Divergent sequence"
From Encyclopedia of Mathematics
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The sentence "In the class of divergent sequences in a normed space one can find infinitely large sequences ..." is obscure. Presumably it is intended to mean that divergent sequences in a normed space include as a subclass those sequences for which the norms tend to infinity, but this is not of course the only way that a sequence can diverge and it's not clear why this particular case is singled out for attention, especially since the wording might give the casual reader the impression that this is the only form of divergence. [[User:Richard Pinch|Richard Pinch]] ([[User talk:Richard Pinch|talk]]) 21:54, 17 December 2016 (CET) | The sentence "In the class of divergent sequences in a normed space one can find infinitely large sequences ..." is obscure. Presumably it is intended to mean that divergent sequences in a normed space include as a subclass those sequences for which the norms tend to infinity, but this is not of course the only way that a sequence can diverge and it's not clear why this particular case is singled out for attention, especially since the wording might give the casual reader the impression that this is the only form of divergence. [[User:Richard Pinch|Richard Pinch]] ([[User talk:Richard Pinch|talk]]) 21:54, 17 December 2016 (CET) | ||
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| + | :Looking at the [http://dic.academic.ru/dic.nsf/enc_mathematics/4697/%D0%A0%D0%90%D0%A1%D0%A5%D0%9E%D0%94%D0%AF%D0%A9%D0%90%D0%AF%D0%A1%D0%AF Russian version] I see that you are right: not "one can find" but "one singles out". [[User:Boris Tsirelson|Boris Tsirelson]] ([[User talk:Boris Tsirelson|talk]]) 22:11, 17 December 2016 (CET) | ||
Latest revision as of 21:11, 17 December 2016
Infinitely large sequences
The sentence "In the class of divergent sequences in a normed space one can find infinitely large sequences ..." is obscure. Presumably it is intended to mean that divergent sequences in a normed space include as a subclass those sequences for which the norms tend to infinity, but this is not of course the only way that a sequence can diverge and it's not clear why this particular case is singled out for attention, especially since the wording might give the casual reader the impression that this is the only form of divergence. Richard Pinch (talk) 21:54, 17 December 2016 (CET)
- Looking at the Russian version I see that you are right: not "one can find" but "one singles out". Boris Tsirelson (talk) 22:11, 17 December 2016 (CET)
How to Cite This Entry:
Divergent sequence. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Divergent_sequence&oldid=40038
Divergent sequence. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Divergent_sequence&oldid=40038