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?)
Line 18: Line 18:
:''"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 08:20, 28 April 2007


Article Checklist for "Sequence"
Workgroup category or categories Mathematics Workgroup [Categories OK]
Article status Developing article: beyond a stub, but incomplete
Underlinked article? Yes
Basic cleanup done? Yes
Checklist last edited by --AlekStos 02:57, 10 March 2007 (CST)

To learn how to fill out this checklist, please see CZ:The Article Checklist.





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)