Strategy dynamics - Revision history

193.136.31.124: /* See also */

2014-09-04T14:13:10Z

en>Khazar2: clean up, typos fixed: self regulating → self-regulating (2) using AWB

2012-10-07T17:03:31Z

clean up, typos fixed: self regulating → self-regulating (2) using AWB

← Older revision		Revision as of 19:03, 7 October 2012
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			{{Unreferenced\|date=June 2012}}
			In [[mathematics]], the '''successor function''' or '''successor operation''' is a [[primitive recursive function]] defined by

			:<math>S(n)=n+1. \, </math>

			We have ''S''(1) = 1 + 1 = 2, ''S''(''S''(1)) = 2 + 1 = 3, ...

			The successor function is used in the [[Peano axioms]] which define the [[natural number]]s. As such, it is not defined by addition, but rather is used to define all natural numbers beyond 0, as well as addition. For example, 1 is defined to be ''S''(0), and addition on natural numbers is defined recursively by:

			:<math>m+0=m</math>
			:<math>m+S(n)=S(m)+n</math>

			This yields 5 + 2 = 5 + ''S''(1) = ''S''(5) + 1 = 6 + 1 = 6 + ''S''(0) = ''S''(6) + 0 = 7 + 0 = 7

			It is also one of the primitive functions used in the characterization of computability by [[computable function\|recursive function]]s.

			==See also==
			*[[successor ordinal]]
			*[[successor cardinal]]
			*[[Increment]]

			[[Category:Mathematical logic]]
			[[Category:Arithmetic]]
			[[Category:Logic in computer science]]


			{{mathlogic-stub}}

en>Chillllls: /* Criticisms of Dynamic Strategy Process Models */ removing gibberish

2012-06-14T15:56:53Z

Criticisms of Dynamic Strategy Process Models: removing gibberish

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← Older revision		Revision as of 16:13, 4 September 2014
Line 1:		Line 1:
	~~{{For\|other uses\|Successor (disambiguation){{!}}Successor}}~~		Gabrielle Straub is what a person can call me although it's not the quite a few feminine of names. Guam has always been home. Filing gives been my profession to remedy time and I'm setting aside time for pretty good financially. Fish keeping is what I actually do every week. See all that is new on my web blog here: http://prometeu.net<br><br>My website - [http://prometeu.net clash of Clans Hack no download no survey]
	~~{{Unreferenced\|date=June 2012}}~~
	~~In [[mathematics]], the '''successor function''' or '''successor operation'''~~ is a ~~[[primitive recursive function]] defined by~~

	~~:<math>S(n)=n+1. \, </math>~~

	~~We have~~ '~~'S''(1) = 1 + 1 = 2, ''S''(''S''(1)) = 2 + 1 = 3,~~ ...

	~~The successor function~~ is ~~used in the [[Peano axioms]] which define the [[natural number]]s~~. ~~As such, it is not defined by addition, but rather is used to define~~ all ~~natural numbers beyond 0, as well as addition. For example, 1~~ is ~~defined to be ''S''(0), and addition~~ on ~~natural numbers is defined recursively by~~:

	:<~~math~~>~~m+0=m~~<~~/math~~>
	:~~<math>m+S(n)=S(m)+n<~~/~~math>~~

	~~This yields 5 + 2 = 5 + ''S''(1) = ''S''(5) + 1 = 6 + 1 = 6 + ''S''(0) = ''S''(6) + 0 = 7 + 0 = 7~~

	~~It is also one of the primitive functions used in the characterization~~ of ~~computability by [[computable function\|recursive function]]s.~~

	~~==See also==~~
	*[[successor ordinal]]
	*[[successor cardinal]]
	*[[Increment]]

	~~[[Category:Mathematical logic]]~~
	~~[[Category:Arithmetic~~]]
	~~[[Category:Logic in computer science]]~~


	~~{{mathlogic-stub}}~~