Talk:Sequence: Difference between revisions
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imported>Catherine Woodgold m (→defined on the natural numbers: formatting of brackets) |
imported>Catherine Woodgold (Simple example?) |
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:''"Formally, given any set ''X'', an infinite sequence is a function (''f'', say) defined on the [[natural numbers]] <math>\{1,2,3,...\}</math>, with values in ''X''. "'' | :''"Formally, given any set ''X'', an infinite sequence is a function (''f'', say) defined on the [[natural numbers]] <math>\{1,2,3,...\}</math>, with values in ''X''. "'' | ||
(I'm not sure whether to include zero in the natural numbers.) --[[User:Catherine Woodgold|Catherine Woodgold]] 08:12, 28 April 2007 (CDT) | (I'm not sure whether to include zero in the natural numbers.) --[[User:Catherine Woodgold|Catherine Woodgold]] 08:12, 28 April 2007 (CDT) | ||
== Simple example? == | |||
This is given as a "simple example" of a sequence of complex numbers: | |||
:<math>1 + i, 2 - 5i, 5 - 2i</math> | |||
How about a simpler example, where it's easy to predict the next term? e.g. | |||
:<math>1 + i, 2 + 3i, 3 + 5i</math> | |||
--[[User:Catherine Woodgold|Catherine Woodgold]] 08:20, 28 April 2007 (CDT) |
Revision as of 07:20, 28 April 2007
Workgroup category or categories | Mathematics Workgroup [Categories OK] |
Article status | Developing article: beyond a stub, but incomplete |
Underlinked article? | Yes |
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Checklist last edited by | --AlekStos 02:57, 10 March 2007 (CST) |
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defined on the natural numbers
I would like to change this:
- "Formally, given any set X, an infinite sequence is a function (f, say) defined on a subset of natural numbers with values in X. "
to this:
- "Formally, given any set X, an infinite sequence is a function (f, say) defined on the natural numbers , with values in X. "
(I'm not sure whether to include zero in the natural numbers.) --Catherine Woodgold 08:12, 28 April 2007 (CDT)
Simple example?
This is given as a "simple example" of a sequence of complex numbers:
How about a simpler example, where it's easy to predict the next term? e.g.
--Catherine Woodgold 08:20, 28 April 2007 (CDT)
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