Content deleted Content added
Cuzkatzimhut (talk | contribs) |
|||
Line 52:
: Of course your name is better, but handling dead links could be a nightmare. And links is what WP is all about. As a stopgap, you should make a redirect.
: By the way, "splinter" is a standard term, used interchangeably with "Picard sequence" in less parochial corners of the broad and disparate user community, and is borrowed from recursive function theory, ''Ullian, J., Splinters of Recursive Functions, The Journal of Symbolic Logic, Vol. 25, N. 1, March, 1960, pp. 33 - 38''.[[User:Cuzkatzimhut|Cuzkatzimhut]] ([[User talk:Cuzkatzimhut|talk]]) 11:32, 18 February 2015 (UTC)
::A redirect [[Function iteration]]-->[[Iterated function]] is present since 2006. Perhaps the lead should be rephrased to cope with both titles. What about:
:::In [[mathematics]], '''function iteration''' is the process of [[function composition|composing]] a function ''f'': ''X'' → ''X'' (that is, a [[function (mathematics)|function]] from some [[set (mathematics)|set]] ''X'' to itself) with itself a certain number ''n'' of times. In this process, starting from some initial element of ''X'', the output of ''f'' is fed again into ''f'' as input, and this process is repeated. The result of function composition is again a function ''f''<sup>''n''</sup>: ''X'' → ''X'', it is called an '''iterated function'''.
::or something similar? The sentence ''"The process of repeatedly applying the same function is called [[iteration]]."'' could be moved down e.g. to the "Definition" section, and adapted to e.g. ''"Function iteration is a particular example of [[iteration]] in general."'' if it is considered worth to be kept at all. In contrast, the possibility of fractional iterates ''should'' be mentioned already in the lead, I think. - [[User:Jochen Burghardt|Jochen Burghardt]] ([[User talk:Jochen Burghardt|talk]]) 17:31, 18 February 2015 (UTC)
| |||