Infinitesimal - Revision history

en>Aaronharsh: Change some awkward grammar

2015-01-09T02:59:43Z

Change some awkward grammar

← Older revision		Revision as of 04:59, 9 January 2015
Line 1:		Line 1:
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en>ClueBot NG: Reverting possible vandalism by 145.129.210.36 to version by Iain.dalton. False positive? Report it. Thanks, ClueBot NG. (1713668) (Bot)

2014-02-23T12:23:21Z

Reverting possible vandalism by 145.129.210.36 to version by Iain.dalton. False positive? Report it. Thanks, ClueBot NG. (1713668) (Bot)

← Older revision		Revision as of 14:23, 23 February 2014
Line 1:		Line 1:
	~~{{Refimprove\|date=March 2010}}~~
	~~In [[mathematics]], a '''unary operation''' is an [[Operation (mathematics)\|operation]] with only one [[operand]], i.e. a single input. Specifically, it is a function~~
	~~:<math>f:\ A\to A</math>~~
	~~where ''A'' is a [[Set (mathematics)\|set]]. In this case ''f'' is called a unary operation on ''A''.~~

	Common notations are [[prefix notation]] (e.g. +, −, not), [[postfix notation]] (e.g. [[factorial]] n!), functional notation (e.g. sin x or sin (x)), and [[superscript]]s (e.g. [[transpose]] ''A<sup>T</sup>''). Other notations exist as well. For example, in the case of the [[square root]], a horizontal bar extending the square root sign over the argument can indicate the extent of the argument.

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	~~As unary operations have only one operand they are evaluated before other operations containing them {{Citation needed\|date=July 2013}}~~. ~~Here is an example using negation:~~

	~~:3 − −2~~

	~~Here~~ the ~~first '−' represents~~ the ~~binary subtraction operation, while the second '−' represents the unary negation~~ of the ~~2 (or '−2' could be taken to mean the integer −2)~~. ~~Therefore, the expression~~ is ~~equal to:~~

	~~:3 − (−2) = 5~~

	~~Technically there~~ is ~~also a unary positive but~~ it is not ~~needed since we assume a value to be positive:~~

	~~:(+2) = 2~~

	~~Unary positive does not change~~ the ~~sign~~ of ~~a negative operation:~~

	~~:(+(−2)) = (−2)~~

	~~In this case a unary negative is needed~~ to ~~change~~ the ~~sign:~~

	~~:(−(−2)) = (+2)~~

	~~Unary operators (called "monadic"~~ in ~~APL) are also used in programming languages~~.

	~~===C family of languages===~~
	~~In the [[C (programming language)\|C]] family of languages~~, the ~~following operators are unary:~~

	*Increment: <~~code~~>++<~~span style="color:gray;"~~>x<~~/span~~>, <~~span style="color:gray;"~~>x~~</span>++</code>~~
	*Decrement: <code>−−<span style=~~"color:gray;">x</span>~~, ~~<span style="color:gray;">x</span>−−</code>~~
	*[[~~Reference (computer science)\|Address]]~~: ~~<code>&<span style="color:gray;">x<~~/~~span><~~/~~code>~~
	[[Indirection]]: <code><span style="color:gray;">x</~~span><~~/~~code>~~
	*Positive: <code>+~~<span style="color:gray;">x</span></code>~~
	*Negative: <code>−<span style="color:gray;">x</span></code>
	*[[Signed number representations\|One's complement]]: <~~code~~>~<~~span style="color:gray;"~~>x<~~/span~~><~~/code~~>
	*[[~~Negation\|Logical negation]]~~: ~~<code>!<span style="color:gray;">x<~~/~~span><~~/~~code>~~
	*[[Sizeof]~~]: <code>sizeof <span style="color:gray;">x</span>~~, ~~sizeof(<span style="color:gray;">type-name</span>)</code>~~
	*[[Type conversion\|Cast]]: <code>(''type-name'') ''<span style="color:gray;">cast-expression</span></code>

	~~===Unix Shell (Bash)===~~

	In the ~~Unix/Linux shell (bash/sh)~~, ~~''''$'''' is a unary operator~~, ~~used for parameter expansion, replacing~~ the ~~name of a variable by its (sometimes modified) value~~. ~~For example:~~

	* Simple expansion: <code>$<span style="color:gray;">x</span></code>
	* Complex expansion: <code>${#<span style="color:gray;">x</span>}</code>
	* Command substitution: <code>$(<span style="color:gray;">cmd</span>)</code>
	* Arithmetic expansion: <code>$((<span style="color:gray;">expr</span>))</code>

	~~===Other languages===~~

	~~====Windows PowerShell====~~
	*Increment: <code>++<span style="color:gray;">$x</span>, ~~<span style="color:gray~~;~~">$x</span>++</code>~~
	*Decrement: <code>−−<span style="color:gray;">$x</span>, ~~<span style="color~~:~~gray;">$x<~~/~~span>−−<~~/~~code>~~
	*Positive: <code>+<span style="color:gray;">$x</span></code>
	*Negative: <code>−<span style="color:gray;">$x</~~span><~~/~~code>~~
	*Logical negation: <code>-not <span style="color:gray;">$x</~~span></code>~~
	*[[Execution (computing)\|Invoke]] in current [[Scope (programming)\|scope]]: <code>.~~<span style~~=~~"color:gray;">$x</span></code>~~
	*Invoke in new scope: <code>&~~<span style~~=~~"color:gray;">$x</span></code>~~
	*Cast: <code>[''type-name''] ''<span style="color:gray;">cast-expression</span></code>

	~~==See also==~~
	* [[Binary operation]]
	* [[Ternary operation]]
	* [[Arity]]
	* [[Operation (mathematics)]]
	* [[Operator (programming)]]

	=~~=References==~~
	*{{MathWorld\|title=Unary Operation\|urlname=UnaryOperation\|author=Matt Insall}}

	~~{{DEFAULTSORT:Unary Operation}}~~
	~~[[Category:Elementary algebra]]~~
	~~[[Category:Operators (programming)]~~]

en>Tkuvho at 14:24, 28 January 2014

2014-01-28T14:24:42Z

← Older revision		Revision as of 16:24, 28 January 2014
Line 1:		Line 1:
	~~The author~~ is ~~known through name of~~ [~~http~~:/~~/search~~.~~Usa~~.~~gov/search?query=Gabrielle~~+~~Lattimer Gabrielle Lattimer~~] ~~though she doesn~~'~~t surely like being called just like that~~. ~~To bake~~ is ~~something that she~~'~~s been doing for yrs~~. ~~Her job happens~~ to be a ~~cashier but rather quickly her husband and your spouse will start their own company~~. ~~She~~'s ~~always loved living South Carolina. She~~ is ~~running and safeguarding~~ a ~~blog here~~: ~~http~~://~~prometeu~~.~~net~~<br><br>~~Here is my site ...~~ [~~http~~://~~prometeu.net Clash Of Clans Hack Tool Android~~]		{{Refimprove\|date=March 2010}}
			In [[mathematics]], a '''unary operation''' is an [[Operation (mathematics)\|operation]] with only one [[operand]], i.e. a single input. Specifically, it is a function
			:<math>f:\ A\to A</math>
			where ''A'' is a [[Set (mathematics)\|set]]. In this case ''f'' is called a unary operation on ''A''.

			Common notations are [[prefix notation]] (e.g. +, −, not), [[postfix notation]] (e.g. [[factorial]] n!), functional notation (e.g. sin x or sin (x)), and [[superscript]]s (e.g. [[transpose]] ''A<sup>T</sup>''). Other notations exist as well. For example, in the case of the [[square root]], a horizontal bar extending the square root sign over the argument can indicate the extent of the argument.

			==Unary negative and positive==
			As unary operations have only one operand they are evaluated before other operations containing them {{Citation needed\|date=July 2013}}. Here is an example using negation:

			:3 − −2

			Here the first '−' represents the binary subtraction operation, while the second '−' represents the unary negation of the 2 (or '−2' could be taken to mean the integer −2). Therefore, the expression is equal to:

			:3 − (−2) = 5

			Technically there is also a unary positive but it is not needed since we assume a value to be positive:

			:(+2) = 2

			Unary positive does not change the sign of a negative operation:

			:(+(−2)) = (−2)

			In this case a unary negative is needed to change the sign:

			:(−(−2)) = (+2)

			Unary operators (called "monadic" in APL) are also used in programming languages.

			===C family of languages===
			In the [[C (programming language)\|C]] family of languages, the following operators are unary:

			*Increment: <code>++<span style="color:gray;">x</span>, <span style="color:gray;">x</span>++</code>
			*Decrement: <code>−−<span style="color:gray;">x</span>, <span style="color:gray;">x</span>−−</code>
			*[[Reference (computer science)\|Address]]: <code>&<span style="color:gray;">x</span></code>
			[[Indirection]]: <code><span style="color:gray;">x</span></code>
			*Positive: <code>+<span style="color:gray;">x</span></code>
			*Negative: <code>−<span style="color:gray;">x</span></code>
			*[[Signed number representations\|One's complement]]: <code>~<span style="color:gray;">x</span></code>
			*[[Negation\|Logical negation]]: <code>!<span style="color:gray;">x</span></code>
			*[[Sizeof]]: <code>sizeof <span style="color:gray;">x</span>, sizeof(<span style="color:gray;">type-name</span>)</code>
			*[[Type conversion\|Cast]]: <code>(''type-name'') ''<span style="color:gray;">cast-expression</span></code>

			===Unix Shell (Bash)===

			In the Unix/Linux shell (bash/sh), ''''$'''' is a unary operator, used for parameter expansion, replacing the name of a variable by its (sometimes modified) value. For example:

			* Simple expansion: <code>$<span style="color:gray;">x</span></code>
			* Complex expansion: <code>${#<span style="color:gray;">x</span>}</code>
			* Command substitution: <code>$(<span style="color:gray;">cmd</span>)</code>
			* Arithmetic expansion: <code>$((<span style="color:gray;">expr</span>))</code>

			===Other languages===

			====Windows PowerShell====
			*Increment: <code>++<span style="color:gray;">$x</span>, <span style="color:gray;">$x</span>++</code>
			*Decrement: <code>−−<span style="color:gray;">$x</span>, <span style="color:gray;">$x</span>−−</code>
			*Positive: <code>+<span style="color:gray;">$x</span></code>
			*Negative: <code>−<span style="color:gray;">$x</span></code>
			*Logical negation: <code>-not <span style="color:gray;">$x</span></code>
			*[[Execution (computing)\|Invoke]] in current [[Scope (programming)\|scope]]: <code>.<span style="color:gray;">$x</span></code>
			*Invoke in new scope: <code>&<span style="color:gray;">$x</span></code>
			*Cast: <code>[''type-name''] ''<span style="color:gray;">cast-expression</span></code>

			==See also==
			* [[Binary operation]]
			* [[Ternary operation]]
			* [[Arity]]
			* [[Operation (mathematics)]]
			* [[Operator (programming)]]

			==References==
			*{{MathWorld\|title=Unary Operation\|urlname=UnaryOperation\|author=Matt Insall}}

			{{DEFAULTSORT:Unary Operation}}
			[[Category:Elementary algebra]]
			[[Category:Operators (programming)]]

en>R'n'B: Fix links to disambiguation page Infinite

2012-08-23T16:16:15Z

Fix links to disambiguation page Infinite

New page

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