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en>ClueBot NG: Reverting possible vandalism by Mohammad Abubakar to version by EmausBot. False positive? Report it. Thanks, ClueBot NG. (1823240) (Bot)

2014-05-06T14:55:26Z

Reverting possible vandalism by Mohammad Abubakar to version by EmausBot. False positive? Report it. Thanks, ClueBot NG. (1823240) (Bot)

← Older revision		Revision as of 16:55, 6 May 2014
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	~~In [[microeconomics]]~~, ~~the '''expenditure function''' describes the minimum amount of money an individual needs to achieve some level of utility~~, ~~given a utility function~~ and ~~prices~~.		31 yrs old Railway Stop Manager Spencer from Saint-Georges, really likes snowmobile riding, diet and dolls. Keeps a tour blog and has lots to write about after visiting Lines and Geoglyphs of Nasca and Pampas de Jumana.

	~~Formally, if there is~~ a ~~[[utility function]] <math>u</math> that describes preferences over L commodities, the expenditure function~~
	~~:<math>e(p, u^*) : \textbf R^L_+ \times \textbf R~~
	~~\rightarrow \textbf R</math>~~

	~~says what amount of money is needed~~ to ~~achieve a utility <math>u^*</math> if prices are set by <math>p</math>.~~
	~~This function is defined by~~

	~~:<math>e(p, u^) = \min_{x \in \geq(u^)} p \cdot x</math>~~

	~~where~~

	~~:<math>\geq(u^) = \{x \in \textbf R^L_+ : u(x) \geq u^\}</math>~~

	~~is the set~~ of ~~all bundles that give utility at least as good as <math>u^*</math>.~~

	~~==See also==~~
	* [[Expenditure minimization problem]]
	* [[Hicksian demand function]]
	* [[Utility maximization problem]]

	~~== References ==~~
	* Andreu Mas-Colell, Michael D. Whinston and ~~Jerry R~~. ~~Green ''Microeconomic Theory'', 2007, ISBN 0-19-510268-1, pp. 59-60, ''The Expenditure Function''~~

	~~{{DEFAULTSORT:Expenditure Function}}~~
	~~[[Category:Consumer theory]]~~

en>EmausBot: Bot: Migrating 1 interwiki links, now provided by Wikidata on d:Q246506

2013-04-20T18:09:26Z

Bot: Migrating 1 interwiki links, now provided by Wikidata on d:Q246506

← Older revision		Revision as of 20:09, 20 April 2013
Line 1:		Line 1:
	~~== eyes not on Ao unknown one ==~~		In [[microeconomics]], the '''expenditure function''' describes the minimum amount of money an individual needs to achieve some level of utility, given a utility function and prices.

	~~Once upon a Maronite forces will be comparable~~, which comes in [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_14.php クリスチャンルブタンメンズ靴] really claim to be [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_13.php クリスチャンルブタン] a nameless and Yu Huang a [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_13.php クリスチャンルブタン] level figures. '<br><br>Jun Bald also the channel: 'it is strange to say, extremely powerful Dragon Dragon Emperor strength, being super animal cairica, and another eight demon emperor, but also has a Maronite heritage treasures, even if he is ~~strong. , but he and an ordinary dragon born two sons are also very weird o '<br><br>'born two sons?' Qin Yu puzzled.<br><br>eyes not on Ao unknown one, Is there~~ a ~~brother?<br><br>'Qin Yu, you should know cairica Dragon is very rare, and even cairica itself, he is~~ [~~http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_14.php クリスチャンルブタンアウトレット~~] ~~the son hardly cairica!'~~<br><~~br>'I know.' Qin Yu this or know.<br><br>cairica is random, there may be a dragon and a black dragon child, it may be some other dragons to children. This [http://www.lamartcorp.com/modules/mod_menu~~/~~rakuten_cl_8.php クリスチャンルブタンスニーカー] is random, but the probability is lower than one million points.<br~~>~~After all~~, the ~~whole<br>~~		Formally, if there is a [[utility function]] <math>u</math> that describes preferences over L commodities, the expenditure function
	~~相关的主题文章：~~		:<math>e(p, u^*) : \textbf R^L_+ \times \textbf R
	~~<ul>~~		\rightarrow \textbf R</math>

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	</ul>

	~~== with Gorefiend Duzhong Jun Hua Yan conversation ==~~		says what amount of money is needed to achieve a utility <math>u^*</math> if prices are set by <math>p</math>.
			This function is defined by

	~~Casual magic party, the party and the Dragon are Sanxian flew [http~~://www.lamartcorp.com/modules/mod_menu/rakuten_cl_6.php クリスチャンルブタンスニーカー] towards the south, and toward the ancient prehistoric Yao Zu Chuan Songzhen direction is flying, and Qin Yu, black feathers, [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_5.php クリスチャンルブタン偽物] Hou fees. Lan wind. Such as a group [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_0.php クリスチャンルブタン価格] of people were dead standing volley watched these people to leave.<br><br>~~breeze blowing~~, ~~let Qin Yu hair blowing swing~~ in the corner.<br><br>Qin Yu homeport down the empty black blood, and real good.<br><br>but at the moment the blood and black empty real good and positive, respectively, with Gorefiend Duzhong Jun Hua Yan conversation, that smile face looked [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_6.php クリスチャンルブタンアウトレット] very humble.<br><br>'Slowly talk about it, you do not have much of the day.' Qin Yu heart says [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_3.php クリスチャンルブタン東京] slowly.<br><br>'Qin Yu little brother.'<br><br>'ah?' Qin Yu from thinking awakened, looked up. Qin Yu were dead are laughing.<br><br>'I do not know what things were older?' Qin Yu convergence of mind.<br><br>were dead nodded and smiled: 'I am also here to stay for a relatively long period of time, choose a day as collision, today I am ready to riot Xinghai people you want to let us go back to the front when.		:<math>e(p, u^) = \min_{x \in \geq(u^)} p \cdot x</math>
	~~相关的主题文章：~~
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	</ul>

	~~== read the latest text version of the novel ==~~		where

	~~Baby body movement, eyes full of excitement, excited.<br>Happy Senior<br>but also to restrain myself, did not rush to.<br><br>, read the latest text version of the novel<br>~~<br>~~'Brother!' Hou Fei looked over. Qin Yu is not even~~ in the past, could not help frowning, 'Brother, do you stand so far away, come, come, take a look at these two little dolls, ha ha.' Hou [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_6.php クリスチャンルブタン銀座] Fei who look only at the Happy Senior's passing, although surprised by this I have never seen one, but Hou Fei [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_4.php クリスチャンルブタン通販] did not care.<br><br>saw Red Cloud, Daisy duo came out from the house, as the [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_8.php クリスチャンルブタン直営店] master of the gods, which did not affect on [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_8.php クリスチャンルブタンスニーカー] the body giving birth. That Hongyun more directly greeting: 'Monkey, the 'Myolie' to me.'<br><br>'Hou apricot? The name did not sound ah, my land lady ah, such a lovely daughter called what Hou apricot, or listen to me, called Hou sweet bar. sweet, much better.' Hou Fei immediately said.<br><br>'Poof!'<br><br>suddenly a group of [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_6.php クリスチャンルブタンアウトレット] people laughed, Qin Yu, black feather		:<math>\geq(u^) = \{x \in \textbf R^L_+ : u(x) \geq u^\}</math>
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	~~== which Hou Fei also given~~ the ~~odds~~. ~~Qin Yu a bite ==~~		is the set of all bundles that give utility at least as good as <math>u^*</math>.

	Three 40 centimeters, have turned out flesh, blood continues to flow out from that huge wound.<br><br>'Hou Fei, death.'<br><br>Di Arrow thundered loudly, towards Hou Fei kill. This Hou Fei body restore capability is good, but can not, and have [~~http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_11.php クリスチャンルブタンブーツ~~] a 'meteor tears' Qin Yu compared the wound was so big, even the demon element force obstacles still continue to have [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_7.php クリスチャンルブタン通販] blood flow ......<br><br>'Peng!' 'Peng!' 'Peng!' 'Peng!' acoustic bombardment after another day in the big gate array among six he sounded very anxious Qin Yu is constantly attacked by a large six he Heavenly Gate Array.<br><br>to [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_0.php クリスチャンルブタン] attack again and again.<br><br>However, nine seven evil temple of His Highness the common cloth under the matrix method, Qin Yu own strength to be weaker than Dillon on a [~~http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_3.php クリスチャンルブタン値段~~] chip, to break the tactical deployment impossible.<br><br>'how to do, in the end how to do?' Qin up the language a little anxious, Hou Fei strength is good, but the face of Dillon, Di arrows and other five Highness the siege, which Hou Fei [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_13.php クリスチャンルブタン] ~~also given the odds. Qin Yu a bite, hands appeared a summons.~~		==See also==
	~~相关的主题文章：~~		* [[Expenditure minimization problem]]
	~~<ul>~~		* [[Hicksian demand function]]
			* [[Utility maximization problem]]
	~~<li>~~[~~http://www.cm127.com/bbs/forum.php?mod=viewthread&tid=198994&fromuid=52834 http://www.cm127.com/bbs/forum.php?mod=viewthread&tid=198994&fromuid=52834]</li>~~

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	== ~~Confined space 'make mistakes~~ ==		== References ==
			* Andreu Mas-Colell, Michael D. Whinston and Jerry R. Green ''Microeconomic Theory'', 2007, ISBN 0-19-510268-1, pp. 59-60, ''The Expenditure Function''

	Confined space 'make mistakes, this is definitely a [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_2.php クリスチャンルブタン東京] big joke.<br><br>is a Lingbao it. turned on so easily be Bengduan seems that pieces of guns, it should be a first-class obscurity Lingbao It Qin [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_10.php クリスチャンルブタン店舗] Yu is really powerful [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_1.php クリスチャンルブタン価格] enough to ...... I really do [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_2.php クリスチャンルブタン東京] not know, his hands in the end There are a few first-class obscurity Lingbao. 'frivolous Blood Vamp King said aside.<br><br>not it?<br><br>Qin Yu has openly class obscurity to three of Lingbao, a Luo Yu knife, dedicated ginger Vatican. a scepter, and a just saw the guns.<br><br>'Jiang Fan, I see you choose in-law, wrong, oh.' Blood Vamp King teasing said.<br><br>'feather brake and you do not ridiculed in the side of the.' Jiang said the Vatican frowned, Blood [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_3.php クリスチャンルブタンブーツ] Vamp King crisp sound chuckle a few times, then to the side say no more.<br><br>'Gentlemen, do not talk of other things.' Zhou Huo looking ugly. 'It Qin Yu ignoring elders, blatant provocation Sheng Huang, so brazenly shot, kill my children Zhou Xian, we also see the land. And ...... It Qin Yu is also openly robbed me weeks		{{DEFAULTSORT:Expenditure Function}}
	~~相关的主题文章：~~		[[Category:Consumer theory]]
	~~<ul>~~

	~~<li>~~[~~http://www.dancelucida.com/wiki/index.php?title=User:Xivkfiyxcw#.27_Zhou_Huo_face_some_ugly. http://www.dancelucida.com/wiki/index.php?title=User:Xivkfiyxcw#.27_Zhou_Huo_face_some_ugly.]</li>~~

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en>Tobias Bergemann: /* References */ Link to Robert Goldblatt and Peter T. Johnstone

2012-08-20T11:32:15Z

References: Link to Robert Goldblatt and Peter T. Johnstone

New page

== eyes not on Ao unknown one ==

Once upon a Maronite forces will be comparable, which comes in [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_14.php クリスチャンルブタンメンズ靴] really claim to be [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_13.php クリスチャンルブタン] a nameless and Yu Huang a [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_13.php クリスチャンルブタン] level figures. ' Jun Bald also the channel: 'it is strange to say, extremely powerful Dragon Dragon Emperor strength, being super animal cairica, and another eight demon emperor, but also has a Maronite heritage treasures, even if he is strong. , but he and an ordinary dragon born two sons are also very weird o ' 'born two sons?' Qin Yu puzzled. eyes not on Ao unknown one, Is there a brother? 'Qin Yu, you should know cairica Dragon is very rare, and even cairica itself, he is [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_14.php クリスチャンルブタンアウトレット] the son hardly cairica!' 'I know.' Qin Yu this or know. cairica is random, there may be a dragon and a black dragon child, it may be some other dragons to children. This [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_8.php クリスチャンルブタンスニーカー] is random, but the probability is lower than one million points. After all, the whole 
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== with Gorefiend Duzhong Jun Hua Yan conversation ==

Casual magic party, the party and the Dragon are Sanxian flew [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_6.php クリスチャンルブタンスニーカー] towards the south, and toward the ancient prehistoric Yao Zu Chuan Songzhen direction is flying, and Qin Yu, black feathers, [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_5.php クリスチャンルブタン偽物] Hou fees. Lan wind. Such as a group [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_0.php クリスチャンルブタン価格] of people were dead standing volley watched these people to leave. breeze blowing, let Qin Yu hair blowing swing in the corner. Qin Yu homeport down the empty black blood, and real good. but at the moment the blood and black empty real good and positive, respectively, with Gorefiend Duzhong Jun Hua Yan conversation, that smile face looked [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_6.php クリスチャンルブタンアウトレット] very humble. 'Slowly talk about it, you do not have much of the day.' Qin Yu heart says [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_3.php クリスチャンルブタン東京] slowly. 'Qin Yu little brother.' 'ah?' Qin Yu from thinking awakened, looked up. Qin Yu were dead are laughing. 'I do not know what things were older?' Qin Yu convergence of mind. were dead nodded and smiled: 'I am also here to stay for a relatively long period of time, choose a day as collision, today I am ready to riot Xinghai people you want to let us go back to the front when.
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== read the latest text version of the novel ==

Baby body movement, eyes full of excitement, excited. Happy Senior but also to restrain myself, did not rush to. , read the latest text version of the novel 'Brother!' Hou Fei looked over. Qin Yu is not even in the past, could not help frowning, 'Brother, do you stand so far away, come, come, take a look at these two little dolls, ha ha.' Hou [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_6.php クリスチャンルブタン銀座] Fei who look only at the Happy Senior's passing, although surprised by this I have never seen one, but Hou Fei [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_4.php クリスチャンルブタン通販] did not care. saw Red Cloud, Daisy duo came out from the house, as the [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_8.php クリスチャンルブタン直営店] master of the gods, which did not affect on [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_8.php クリスチャンルブタンスニーカー] the body giving birth. That Hongyun more directly greeting: 'Monkey, the 'Myolie' to me.' 'Hou apricot? The name did not sound ah, my land lady ah, such a lovely daughter called what Hou apricot, or listen to me, called Hou sweet bar. sweet, much better.' Hou Fei immediately said. 'Poof!' suddenly a group of [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_6.php クリスチャンルブタンアウトレット] people laughed, Qin Yu, black feather
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== which Hou Fei also given the odds. Qin Yu a bite ==

Three 40 centimeters, have turned out flesh, blood continues to flow out from that huge wound. 'Hou Fei, death.' Di Arrow thundered loudly, towards Hou Fei kill. This Hou Fei body restore capability is good, but can not, and have [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_11.php クリスチャンルブタンブーツ] a 'meteor tears' Qin Yu compared the wound was so big, even the demon element force obstacles still continue to have [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_7.php クリスチャンルブタン通販] blood flow ...... 'Peng!' 'Peng!' 'Peng!' 'Peng!' acoustic bombardment after another day in the big gate array among six he sounded very anxious Qin Yu is constantly attacked by a large six he Heavenly Gate Array. to [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_0.php クリスチャンルブタン] attack again and again. However, nine seven evil temple of His Highness the common cloth under the matrix method, Qin Yu own strength to be weaker than Dillon on a [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_3.php クリスチャンルブタン値段] chip, to break the tactical deployment impossible. 'how to do, in the end how to do?' Qin up the language a little anxious, Hou Fei strength is good, but the face of Dillon, Di arrows and other five Highness the siege, which Hou Fei [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_13.php クリスチャンルブタン] also given the odds. Qin Yu a bite, hands appeared a summons.
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== Confined space 'make mistakes ==

Confined space 'make mistakes, this is definitely a [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_2.php クリスチャンルブタン東京] big joke. is a Lingbao it. turned on so easily be Bengduan seems that pieces of guns, it should be a first-class obscurity Lingbao It Qin [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_10.php クリスチャンルブタン店舗] Yu is really powerful [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_1.php クリスチャンルブタン価格] enough to ...... I really do [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_2.php クリスチャンルブタン東京] not know, his hands in the end There are a few first-class obscurity Lingbao. 'frivolous Blood Vamp King said aside. not it? Qin Yu has openly class obscurity to three of Lingbao, a Luo Yu knife, dedicated ginger Vatican. a scepter, and a just saw the guns. 'Jiang Fan, I see you choose in-law, wrong, oh.' Blood Vamp King teasing said. 'feather brake and you do not ridiculed in the side of the.' Jiang said the Vatican frowned, Blood [http://www.lamartcorp.com/modules/mod_menu/rakuten_cl_3.php クリスチャンルブタンブーツ] Vamp King crisp sound chuckle a few times, then to the side say no more. 'Gentlemen, do not talk of other things.' Zhou Huo looking ugly. 'It Qin Yu ignoring elders, blatant provocation Sheng Huang, so brazenly shot, kill my children Zhou Xian, we also see the land. And ...... It Qin Yu is also openly robbed me weeks
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