Homogeneous differential equation - Revision history

2602:30A:2C5E:5A30:9C70:17F1:A4C7:BEF5 at 01:47, 24 October 2014

2014-10-24T01:47:54Z

← Older revision		Revision as of 03:47, 24 October 2014
Line 1:		Line 1:
	~~Hi there, I am Andrew Berryhill. Mississippi is exactly where her home~~ is ~~but her husband wants them to transfer~~. ~~Office supervising is what she does for a residing~~. ~~It's not a common thing but what I like doing~~ is to climb but I ~~don~~'~~t have the time recently~~.<br><br>Feel free to ~~surf to~~ my blog; ~~clairvoyants~~ ([http://~~hknews~~.~~classicmall~~.com~~.hk~~/~~groups~~/~~some~~-~~simple~~-~~tips~~-~~for~~-~~personal~~-~~development~~-~~progress/ http://hknews.classicmall.com.hk~~])		The author's title is Christy Brookins. Her family members lives in Ohio. What me and my family love is to climb but I'm thinking on starting some thing new. Invoicing is my profession.<br><br>Feel free to visit my web blog; cheap psychic readings ([http://medialab.zendesk.com/entries/54181460-Will-You-Often-End-Up-Bored-Try-One-Of-These-Hobby-Ideas- over at this website])

147.52.159.18: noticed a parsing error in page and added a minor fix

2014-02-07T11:22:46Z

noticed a parsing error in page and added a minor fix

← Older revision		Revision as of 13:22, 7 February 2014
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	~~{{Other uses of\|Jot\|Jot (disambiguation)}}~~		Hi there, I am Andrew Berryhill. Mississippi is exactly where her home is but her husband wants them to transfer. Office supervising is what she does for a residing. It's not a common thing but what I like doing is to climb but I don't have the time recently.<br><br>Feel free to surf to my blog; clairvoyants ([http://hknews.classicmall.com.hk/groups/some-simple-tips-for-personal-development-progress/ http://hknews.classicmall.com.hk])
	~~{{Notability\|date=February 2011}}~~

	~~'''Iota''' and its successor '''Jot''' (from [[Greek language\|Greek]] [[iota]]~~, [[Hebrew]] [[yodh]], the smallest letters in those two alphabets) are extremely minimalist [[formal system]]s, designed to be even simpler than other more popular alternatives, such as the [[lambda calculus]] and [[SKI calculus\|SKI combinator calculus]]. ~~They can therefore also be considered minimalist computer programming languages, or [[Turing tarpit]]s, [[esoteric programming language]]s that are designed~~ to ~~be as small as possible but still [[Turing-complete]]~~. ~~Both systems use only two symbols and involve only two operations. '''Zot'''~~ is a ~~continuized version of Iota that includes input and output~~.

	~~Iota~~'s ~~universal combinator has~~ a ~~very simple structure (defined here using [[denotational semantics]] in terms of~~ the ~~[[lambda calculus]]):~~

	~~{{Center\|<math>U = \lambda f~~.~~((fS)K)~~<~~/math~~>}}

	~~From this, one can recover the usual [[SKI_combinator_calculus#SKI_expressions\|SKI basis combinators]] as follows:~~

	~~{{Center\|~~<~~math~~>~~I\, =\, (UU),\~~; ~~K\, =\, (U(U~~(~~UU))), \;S\, =\, (U(U(U(UU))))</math>}}~~

	~~Because of its minimalism, it has influenced research concerning [[Chaitin's constant]].<ref>Michael Stay,~~ [http://~~arxiv~~.~~org~~/~~abs~~/~~cs.IT/0508056 "Very Simple Chaitin Machines~~ for ~~Concrete AIT"], ''Fundamenta Informaticae 68 (3). pp. 231~~--~~247 CDMTCS Report 265'', 2005<~~/~~ref>~~

	~~==See also==~~
	*[[Lambda calculus]]
	*[[Combinatory logic]]
	*[[Binary combinatory logic]]
	*[[SKI calculus\|SKI combinator calculus]]

	~~==References==~~
	~~{{reflist}}~~

	~~==External links==~~
	* Barker, Chris "[http://~~semarch.linguistics~~.~~fas~~.~~nyu~~.~~edu/barker/Iota/ Iota and Jot: the simplest languages?~~]"
	* [http://esolangs.org/wiki/Iota Esolang Wiki: Iota]
	* [http://esolangs.org/wiki/Jot Esolang Wiki: Jot]

	~~{{DEFAULTSORT:Iota And Jot}}~~
	~~[[Category:Esoteric programming languages]]~~


	~~{{Compu-lang-stub}}~~

85.110.110.8: /* Homogeneous linear differential equations */

2014-01-15T18:55:37Z

Homogeneous linear differential equations

← Older revision		Revision as of 20:55, 15 January 2014
Line 1:		Line 1:
	~~Hi there~~. ~~Allow me start by introducing the writer~~, ~~her title is Sophia~~. ~~To perform lacross~~ is ~~the factor I love most~~ of ~~all~~. ~~Distributing production is exactly where my primary earnings arrives from and it~~'s ~~something I really enjoy. For~~ a ~~whilst I've been~~ in ~~Alaska but~~ I ~~will have to transfer in a yr or two.~~<br><br>~~Stop by my web page~~: ~~spirit messages~~ ([http://~~www~~.~~taehyuna~~.~~net~~/xe/?~~document_srl=78721 just click the following document~~])		{{Other uses of\|Jot\|Jot (disambiguation)}}
			{{Notability\|date=February 2011}}

			'''Iota''' and its successor '''Jot''' (from [[Greek language\|Greek]] [[iota]], [[Hebrew]] [[yodh]], the smallest letters in those two alphabets) are extremely minimalist [[formal system]]s, designed to be even simpler than other more popular alternatives, such as the [[lambda calculus]] and [[SKI calculus\|SKI combinator calculus]]. They can therefore also be considered minimalist computer programming languages, or [[Turing tarpit]]s, [[esoteric programming language]]s that are designed to be as small as possible but still [[Turing-complete]]. Both systems use only two symbols and involve only two operations. '''Zot''' is a continuized version of Iota that includes input and output.

			Iota's universal combinator has a very simple structure (defined here using [[denotational semantics]] in terms of the [[lambda calculus]]):

			{{Center\|<math>U = \lambda f.((fS)K)</math>}}

			From this, one can recover the usual [[SKI_combinator_calculus#SKI_expressions\|SKI basis combinators]] as follows:

			{{Center\|<math>I\, =\, (UU),\; K\, =\, (U(U(UU))), \;S\, =\, (U(U(U(UU))))</math>}}

			Because of its minimalism, it has influenced research concerning [[Chaitin's constant]].<ref>Michael Stay, [http://arxiv.org/abs/cs.IT/0508056 "Very Simple Chaitin Machines for Concrete AIT"], ''Fundamenta Informaticae 68 (3). pp. 231--247 CDMTCS Report 265'', 2005</ref>

			==See also==
			*[[Lambda calculus]]
			*[[Combinatory logic]]
			*[[Binary combinatory logic]]
			*[[SKI calculus\|SKI combinator calculus]]

			==References==
			{{reflist}}

			==External links==
			* Barker, Chris "[http://semarch.linguistics.fas.nyu.edu/barker/Iota/ Iota and Jot: the simplest languages?]"
			* [http://esolangs.org/wiki/Iota Esolang Wiki: Iota]
			* [http://esolangs.org/wiki/Jot Esolang Wiki: Jot]

			{{DEFAULTSORT:Iota And Jot}}
			[[Category:Esoteric programming languages]]


			{{Compu-lang-stub}}

en>F=q(E+v^B): /* Homogeneous linear equations */

2012-06-13T14:50:29Z

Homogeneous linear equations

New page

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