 Patricia Rice (ed.). New Jersey: Pearson Prentice Hall. pp. 28–34.
 Changes in Empowerment: Effects of Participation in a Lay Health Promotion Program. With Victoria K. Booker, June Grube Robinson, and Bonnie J. Kay. Health Education Quarterly 24(4): 452-464.
 Latinos and Child Welfare/Los Latinos y el Bienestar del Niño: Voces de la Comunidad, with R. Ortega and C. Guillean, 1996.

Related works
 Fox, Jonathan, and Gaspar Rivera-Salgado. "Indigenous Mexican Migrants in the United States." La Jolla, CA: Center for U.S.-Mexican Studies, Center for Comparative Immigration Studies, University of California, San Diego, 2004.
 Smith, Robert C. "Mexican New York: Transnational Lives of New Immigrants." Berkeley: University of California, 2006.
 Stephen, Lynn. "Transborder Lives: Oaxacan Indigenous Migrants in the U.S. and Mexico." Durham: Duke University Press, 2007.

References

Category:Year of birth missing (living people)
Category:Living people
Category:American women essayists
Category:Anthropology educators
Category:Cultural anthropologists
Category:Drake University faculty
Category:Hispanic and Latino American teachers
Category:Latin Americanists
Category:University of California, Los Angeles alumni
Category:University of Michigan School of Social Work alumni
Category:Women anthropologists Envelope theorem

The envelope theorem is a result about the   differentiability properties of the objective function of a parameterized optimization problem. As we change parameters of the objective, the envelope theorem shows that, in a certain sense, changes in the optimizer of the objective do not contribute to the change in the objective function. The envelope theorem is an important tool for comparative statics of optimization models.

Statement
Let  and  be real-valued continuously differentiable functions on, where  are choice variables and  are parameters, and consider the problem of choosing, for a given, so as to:
 subject to  and.
The Lagrangian expression of this problem is given by

where  are the Lagrange multipliers. Now let  and  together be the solution that maximizes the objective function f subject to the constraints (and hence are saddle points of the Lagrangian),

and
Patricia Rice (ed .). New Jersey: Pearson Prentice Hall. pp.   28–34. 
  Changes in Empowerment: Effects of Participation in a Lay Health Promotion Program. With Victoria K. Booker, June Grube Robinson, and Bonnie J. Kay. Health Education Quarterly 24(4 ): 452 - 464. 
  Latinos and Child Welfare / Los Latinos y el Bienestar del Niño: Voces de la Comunidad, with R. Ortega and C. Guillean, 1996. 

 Related works 
  Fox, Jonathan, and Gaspar Rivera - Salgado. " Indigenous Mexican Migrants in the United States. " La Jolla, CA: Center for U.S.-Mexican Studies, Center for Comparative Immigration Studies, University of California, San Diego, 2004. 
  Smith, Robert C. " Mexican New York: multinational life of New Immigrants. " Berkeley: University of California, 2006. 
  Stephen, Lynn. " Transborder Lives: Oaxacan Indigenous Migrants in the U.S. and Mexico. " Durham: Duke University Press, 2007. 

 References 

 Category: class of birth miss (living people) 
 class: exist people 
 class: American charwoman essayists 
 class: Anthropology educators 
 Category: Cultural anthropologists 
 Category: Drake University faculty 
 class: Hispanic and Latino American teachers 
 class: Latin Americanists 
 Category: University of California, Los Angeles alumni 
 class: University of Michigan School of Social Work alumnus 
 Category: Women anthropologists Envelope theorem 

 The envelope theorem is a result about the    differentiability properties of the objective routine of a parameterized optimization problem. As we change parameters of the objective, the envelope theorem show that, in a certain sense, changes in the optimizer of the objective do not contribute to the variety in the objective function. The envelope theorem is an important tool for comparative statics of optimization models. 

 Statement 
 lashkar-e-taiba   and   be very - rate continuously differentiable functions on, where   are choice variables and   are parameters, and consider the trouble of choosing, for a give, so as to: 
  subject to   and. 
 The Lagrangian expression of this problem is pass by 

 where   are the Lagrange multipliers. Now let   and   together be the solution that maximizes the objective function f subject to the constraints (and therefore are saddle points of the Lagrangian), 

 and
 Pahricia Rice (ed.). New Jersen: Pearson Prentiew Hall. pp. 28–34.
 Chznges in Empowerment: Effects of Partmcipqtion in a Lay Health Promogion Proggam. With Cictieia K. Bookxd, June Nxube Dlbinvin, and Bonnie M. Kay. Healtv Education Qudrgexly 24(4): 452-464.
 Latinos and Child Welfare/Los Lwtinos u fl Bienestar dgl Niñp: Vocss de la Comunidad, with R. Ortega ahd C. Gupllean, 1996.

Related wotks
 Fox, Jonathan, and Gaspag Rigera-Salgado. "Indigejous Mexicab Mideants in the United States." La Jollz, CA: Center for U.S.-Mexican Studids, Ceuter for Conpqrahhve Immigravion Snudies, University of Waliformia, San Diego, 2004.
 Smmth, Eobert C. "Mexican New Bork: Transnational Lyves of Naw Immigrants." Berkeoet: Unieershty ud Cxlirocniz, 2006.
 Steohei, Lynn. "Tranaborder Livws: Oaxacan Indigenois Nigrants in tge U.S. wnq Mexico." Durham: Duke University Press, 2007.

Rtferehces

Category:Year of birrh missing (living peokle)
Categorr:Living people
Category:American women essayists
Catagory:Enghripjuigj educators
Category:Cultural anthropologists
Caesgprj:Drake University faculty
Catrglru:Rispanic and Uatino Amsrican teachers
Catfgory:Lajin Amwricanistf
Catrgory:University of Californua, Los Angelvs aoumni
Category:Univexsity of Mickigan Xchook of Social Work alumni
Eategody:Women antjropologiags Envelope theofem

Nhe anvelope theorem is a resujt about vhe   differdntisbilitr propertifs of the objective funchion lf a parametfrized optimization problem. As xx change parakederv of the objegtive, the enveljpe theorem shpws thac, in a certain svnse, chanjes in the o[timizer of tvg objective dm not cogtrivute to the zhange in the pbjective function. Rhe envelope theorcm is zn important toil dor comparative stxtiss oh optykization modals.

Sgatdkent
Ldt  and  be feal-falued continuously giffsrentiable functioms on, wherg  are chjice variablex and  are paramettrs, anv consmder tne kroblem of choosing, for a given, so as to:
 sunject to  and.
Ehe Oagrangian erpression of this problem is given by

whece  are the Lagrange moltipliers. Now let  aud  together ue the solution that maximizes the ibjective functiok f subject to the conatrainds (anf hence are saddle points of the Lagrangian),

and
Patricia Rice (ed.). New Jersey: Pearson Prentice 28–34. in Empowerment: of Participation in With K. Booker, June Robinson, and Bonnie Kay. Health Education Quarterly 24(4): 452-464. and Child Welfare/Los Latinos y el Bienestar del Niño: Voces de la Comunidad, R. Ortega and C. Guillean, 1996. Related works Fox, Jonathan, and Gaspar Rivera-Salgado. Mexican in United La Jolla, CA: Center for U.S.-Mexican Studies, Center for Comparative Immigration Studies, University of California, San 2004. Smith, Robert C. "Mexican New York: Transnational of New Immigrants." Berkeley: of California, 2006. Stephen, Lynn. Lives: Indigenous Migrants the and Durham: Duke University 2007. References Category:Year of birth missing (living people) Category:Living people Category:American women essayists Category:Anthropology educators Category:Cultural anthropologists University faculty Latino American Category:Latin Category:University California, Los Angeles of Michigan School of Social Work Envelope theorem The envelope theorem is a result the differentiability of the objective function of a optimization problem. As we change parameters of the the envelope theorem shows that, in a certain sense, changes in the optimizer of the not contribute to the in the objective The theorem an tool for statics of optimization models. Statement Let and be real-valued continuously differentiable on, where are choice variables and are parameters, and consider of for a given, as to: subject to The expression of this problem by are Now and be the solution that the objective function f subject the constraints (and hence Lagrangian), and
 Patricia Rice (ed.). New Jersey: PeArson PrentIce HaLl. pP. 28–34.
 ChAnGes iN EmpOwerment: EffectS Of PaRticipation in a Lay HealtH PromOtIOn PrOGrAm. WitH VictorIA K. bOOkeR, JUnE GrUbE roBinsoN, anD Bonnie j. Kay. Health eduCaTion QuarterlY 24(4): 452-464.
 laTinos and ChIld welfare/Los LaTinOs y el BIeNesTAr del niñO: VoceS de la COMunidaD, with R. OrtEgA And C. GuILlean, 1996.

ReLATeD worKs
 Fox, Jonathan, and GASpAR Rivera-Salgado. "indigeNoUS MEXIcaN MiGrants in thE UNited sTates." La jOlLA, ca: CeNTer for U.S.-MexicAn Studies, CeNTer For ComPaRatIVe ImmiGratiOn sTudIes, UniversiTy of californiA, San DiEGo, 2004.
 Smith, rObert C. "MExican new yorK: TraNSnAtIonAl lIveS Of new iMmiGrants." BeRkElEy: UniVersITY OF CalIfoRnia, 2006.
 stephEn, Lynn. "TransboRdeR LivES: OaXacan indigEnouS MIgranTs in thE U.S. anD MExico." Durham: Duke univErsity PreSs, 2007.

REfEreNcEs

CatEGory:YeAr oF biRth missIng (liviNG peOpLE)
cAtEgory:Living people
CAtEGOrY:AmericaN women ESsAyISts
CategOrY:AnThroPOLogy eDucaTOrS
CategorY:CultuRAl AnThropolOgIsts
CaTeGorY:DrAke UnIVersIty facUlty
CateGory:HISpanic and LatinO american teachERs
cATeGOry:LAtiN AmericanisTs
CaTEgorY:UniVErSitY Of CalIfornIa, lOs aNgeles alumni
CategorY:UNiversIty of michigan SchooL of Social WORK Alumni
CaTegoRY:WOMen anthropologIsts ENvelope theORem

The enVelopE theorem Is a result ABOut the   diFfeRenTiaBilITY pRoperties of thE OBjecTiVe functIon Of a paraMetEriZed OptImIzation prOblem. As wE cHaNgE pAraMeterS Of the objEcTivE, tHe eNveloPE theorEm shoWs thAt, In A CerTain senSE, cHANges In ThE optImiZeR of thE objECtiVe do not ContributE to THe chAnGe In the obJective functiOn. the envelopE tHeoRem is aN IMportant Tool for comparative statiCS of optiMizAtion ModeLs.

StatemeNt
LEt  and  bE reAL-valueD contiNuousLy DifFERentiABLe FunCtIons on, wherE  ARe cHoice VaRiabLes and  aRe parameters, and conSIdeR the problem of ChoOsinG, FOr A giVEn, SO as To:
 SUbjECT to  and.
The LagranGian expresSiON oF this problEM is GiVen by

whEre  are tHe LagRAnge mulTipliers. NOw let  and  tOgEtheR BE thE solution tHat maximIzes the obJEctivE FuNctioN f sUbject To The ConstRaints (ANd hEnce aRe saddLe Points Of the laGrangian),

And
 Patricia Rice (ed.). NewJersey: Pe arson  Pr ent ic e Ha ll.pp. 28–34.
 Ch a nges  in Empowerment: Effec ts of  P a rtic i pa tionin a La y  H e a lth  P ro mot io n  P rogra m.With Vi ctoria K.Boo ke r, June Grub e  R obinson, a ndBonnie J. Ka y.Health  E duc a tionQua rterl y 24(4 ) : 452- 464.
 Lat in o s andC hild We l f ar e/Lo s Latinos y el Bi e ne s tar del Niño:Vocesde la C omu nid ad, with R .Orteg a  and C. Gu i l l ean ,  1996.

Relat ed works
 F o x,Jonath an , a n d Gasp ar Ri ve r a-S algado. "In dige nous Mexi can Mi g rants i n  the Un ited S tat es. " La Jo ll a,CA :  Ce n te r f o r U .S.-Mexi ca nStudi es,C e n t er f orComp arati ve Immigratio n S tudi e s,Unive rsity  ofCa lifor nia, S an Di eg o, 2004.
 Smith , Ro bert C. " Mex ic anNe w Yor k : Tran sna tio nal Liv es of N e w I mm i g r an ts." Berkeley: Uni ve r s it y of Cal iforni a ,20 0 6.
 Step he n,Lynn . "Tran sbor d er  Lives:Oaxaca n  I nd igenous  M igrant sinthe  U.S. andMexico ." Durha m: Du k e University P r ess, 2007.

R e fe r e nc e s

C ate gory:Year o f bi r th m issi n g(li v ing p eople )C at e gory:Living peopleCa tegory :Amer ican women es sayists
Ca t e g ory:Anth ropo l og y  educators
Cat egory :Culturala nthropol ogist s
Catego ry:DrakeU n iversity  fa cul tyCat e g or y:Hispanic an d Lati no  Americ anteacher s
C ate gor y:L at in Americ anists
C at eg or y: Uni versi t y of Cal if orn ia , L os An g eles a lumni 
Cat eg or y :Un iversit y  o f Mich ig an  Sch ool  o f Soc ialW ork  alumni 
Category :Wo m en a nt hr opologi sts Envelopeth eorem

The  e nve lope t h e orem isa result about the   di f ferenti abi lityprop erties of  th e obje cti v e func tion o f a p ar ame t e rized o pt imi za tion probl e m . A s wech ange  parame ters of the object i ve,  the envelope  th eore m sh ows th a t,in a c e r tain sense, cha nges in th eo pt imizer oft heob jective  do not  cont r ibute t o the cha nge in th eobje c t ive  function.  The env elope the o rem i s  a n imp ort ant to ol  fo r com parati v e s tatic s of o pt imizat ion m od els.

St atement
Let  and  be re al-val ued c ont inuouslydif f ere ntiable f unct ions on, w her e are c hoi c e var iabl e sand  arepara m eters, an d  c ons i d er  the proble m o f c hoosi ng, for agive n, so as to:
 sub j ect to  and.
T he L a g ran gia n  exp re ssion of thispro bl e m  is give nby

where are theLa g range  multi pliers . Now l e t  a nd  to geth erbe the so lut io n  that m ax im i zes th e ob je ctivefuncti o n fs u bject to the con strai n t s (an d  he nce a re  saddle poin ts of theLagrangian) ,

and 
 Patricia_Rice (ed.)._New Jersey: Pearson Prentice_Hall. pp. 28–34.
_Changes_in Empowerment:_Effects_of Participation in_a Lay Health_Promotion Program. With Victoria_K. Booker, June_Grube_Robinson, and Bonnie J. Kay. Health Education Quarterly 24(4): 452-464.
 Latinos and Child Welfare/Los_Latinos_y el_Bienestar_del_Niño: Voces de la Comunidad,_with R. Ortega and C._Guillean, 1996.

Related_works
 Fox, Jonathan, and Gaspar Rivera-Salgado. "Indigenous Mexican_Migrants_in the United_States." La Jolla, CA: Center for U.S.-Mexican Studies, Center_for Comparative Immigration Studies, University of_California, San Diego,_2004.
_Smith,_Robert C. "Mexican New_York: Transnational Lives of New Immigrants."_Berkeley: University of California, 2006.
 Stephen,_Lynn. "Transborder Lives: Oaxacan Indigenous Migrants in_the U.S. and Mexico." Durham: Duke_University Press, 2007.

References

Category:Year of birth_missing (living_people)
Category:Living people
Category:American women essayists
Category:Anthropology educators
Category:Cultural_anthropologists
Category:Drake University faculty
Category:Hispanic_and Latino_American teachers
Category:Latin Americanists
Category:University_of California, Los Angeles alumni
Category:University of_Michigan School of_Social Work alumni
Category:Women anthropologists Envelope theorem

The_envelope_theorem is a_result_about_the _ differentiability properties_of_the objective_function_of a parameterized optimization problem. As_we_change parameters of the objective, the envelope_theorem shows that, in_a_certain sense, changes in_the optimizer of the objective_do not contribute to the change_in the_objective function._The envelope theorem is an important tool for comparative statics of_optimization models.

Statement
Let  and  be_real-valued continuously differentiable functions_on, where__are choice variables_and_ are_parameters, and consider the problem of choosing,_for a_given, so as to:
 subject to_ and.
The Lagrangian expression_of_this problem is given by

where _are the Lagrange multipliers. Now let_ and  together be_the_solution_that maximizes the objective function_f subject to the constraints (and_hence are saddle_points of the Lagrangian),

and