Dr. Emilio Vargas - Tendencias en IngenieríaE-mail: ventas@alfaomegaeditor.com.ar! Datos...

Tendencias en

ingeniería, tecnología y

sociedad

Dr. Gilberto Herrera

(Coordinador) !!!!!!!!!!!!!!

!"#$%&'!()*$'!+!"&,&-.!+!/01)2&!34!+!56%-)6,&!7$!89):$!

Edición Alejandro Herrera Coordinadores Gilberto Herrera Ruiz María del Carmen Espino Gudiño Vicente Rodríguez Hernández Revisión David Moisés Terán Pérez Gerente editorial Marcelo Grillo

Tendencias en ingeniería, tecnología y sociedad

Primera Edición por Alfaomega Grupo Editor, S.A. de C.V. México, febrero 2012

Internet: http://www.alfaomega.com.mx E-mail: atencionalcliente@alfaomega.com.mx

ISBN: 978-607-707-327-7

Derechos reservados: Esta obra es propiedad intelectual de su autor y los derechos de publicación en lengua española han sido legalmente transferidos al editor. Prohibida su reproducción parcial o total por cualquier medio sin permiso por escrito del propietario de los derechos del copyright.

Nota importante: La información contenida en esta obra tiene un fin exclusivamente didáctico y, por lo tanto, no está previsto su aprovechamiento profesional o industrial. Las indicaciones técnicas y programas incluidos han sido elaborados con gran cuidado por el autor y reproducidos bajo estrictas normas de control. Alfaomega Grupo Editor, S.A. de C.V. no será jurídicamente responsable por: errores u omisiones; daños y perjuicios que se pudieran atribuir al uso de la información comprendida en este libro, ni por la utilización indebida que pudiera dársele. Los nombres comerciales que aparecen en este libro son marcas registradas de sus propietarios y se mencionan únicamente con fines didácticos, por lo que la editorial no asume ninguna responsabilidad por el uso que se dé a esta información, ya que no infringe ningún derecho de registro de marca. Los datos de los ejemplos y pantallas son ficticios, a no ser que se especifique lo contrario.

Impreso en México. Printed in Mexico

Empresas del grupo:

México: Alfaomega Grupo Editor, S.A. de C.V. Pitágoras 1139, Col. Del Valle, México, D.F., México, C.P. 03100 Tel.: (52-55) 5089-7740 – Fax: (52-55) 5575-2420 / 2490. Sin costo: 01-800-020-4396 E-mail: atencionalcliente@alfaomega.com.mx

Colombia: Alfaomega Colombiana, S.A. Carrera 15 No. 64 A 29, Bogotá, Colombia PBX (57-1) 2100122 - Fax: (57-1) 6068648 E-mail: cliente@alfaomega.com.co

Chile: Alfaomega Grupo Editor, S.A. General del Canto 370-Providencia, Santiago, Chile Tel.: (56-2) 235-4248 – Fax: (56-2) 235-5786 E-mail: agechile@alfaomega.cl!

Argentina: Alfaomega Grupo Editor Argentino, S.A. Paraguay 1307 P.B. Of.11, C.P. 1057, Buenos Aires, Argentina Tel.: (54-11) 4811-0887 y 4811-7183 E-mail: ventas@alfaomegaeditor.com.ar!

Datos catalográficos Herrera Ruiz Gilberto; Espino Gudiño María del Carmen; Rodríguez Hernández Vicente. Coordinadores Tendencias en ingeniería, tecnología y sociedad Primera Edición Alfaomega Grupo Editor, S.A. de C.V. México.

ISBN:!978-607-707-327-7 Formato: 17 x 23 cm Páginas 290!

! U;U;U;U;!!!!

Contenido 2/34#'1%+5+

67'8+-.+-1+9-3-#/#-:+

;</#+).+9-3-#/#-:======================================================================================================= +5+

2/34#'1%+>+9)-?3%+$-@'-$)&%+-"+1/+(%?3/(#/()*"+&-1+?/#-$)/1+.'-1%A(/1+

9)?-+"--&-&+)"+#<-+(%?3/(#)%"+%B+#<-+1)?-A.%)1+?/#-$)/1 ===========================C!

2/34#'1%+D+E4"#-.).+F+(/$/(#-$4.#)(/.+-.#$'(#'$/1-.+&-+B%#%(/#/1)G/&%$-.+&-+E,HA5+&-(%$/&%.+(%"+3/$#4('1/.+9)I>+

EF"#<-.).+/"&+.#$'(#'$/1+(</$/(#-$).#)(.+%B+E,HA5+

3<%#%(/#/1F.#.+&-(%$/#-&+J)#<+9)I>3/$#)(1-.! ==============================================5C+

2/34#'1%+K+LB-(#%+&-+1/+-.#$'(#'$/+&-+#-0)&%.+&-+B)M$/.+&-+<-"-@'8"+.%M$-+1/.++3$%3)-&/&-.+/+B1-N)*"+&-+'"+3%14?-$%+B)M$%$-B%$G/&%+

LBB-(#+%B+<-"-@'-"+B/M$)(+.#$'(#'$-+%"+#<-+B1-N'$/1+3$%3-$#)-.+%B+/+B)M-$+$-)"B%$(-&+3%1F?-$ ==================================================================================>C+

2/34#'1%+O+H-#-$?)"/()*"+&-+1/+1-F+&-+B/#)P/+&-+?-G(1/.+/.BQ1#)(/.+/+3/$#)$+&-+.'+$-.).#-"()/+-"+-"./F-.+-.#Q#)(%.+&-+#-".)*"+&)$-(#/+

R/#)P'-+1/J+%B+/.3</1#)(+?)N#'$-.S+&-#-$?)"-&+B$%?+)#.+M$-/T)"P+.#$-"P#<+%M#/)"-&+B$%?+&)$-(#+#-".)1-+#-.#. ==================================================DC+

2/34#'1%+U+E4"#-.).+F+(/$/(#-$4.#)(/.+-.#$'(#'$/1-.+&-+(/#/1)G/&%$-.+V'WXR->IDYEZV5O+

EF"#<-.).+/"&+.#$'(#'$/1+(</$/(#-$).#)(.+%B+V'WX+R->IDYEZVA5O++(/#/1F.#. ============================================================================================================K[+

2/34#'1%+[+\/1'/()*"+&-+3$-&)%.+$'$/1-.+3%$+-1+?8#%&%+&-+3$%&'(#)])&/&+-"+B'"()*"+&-1+/3$%]-(</?)-"#%+&-1+$-('$.%+/P'/+

\/1'/#)%"+%B+$'$/1+3$%3-$#)-.+MF+#<-+?-#<%&+%B+3$%&'(#)])#F+/.+/+B'"(#)%"+

%B+#<-+%M#/)"/M)1)#F+%B+J/#-$+$-.%'$(-. ==========================================================O[!

! UUUU;;;;;;;;!!!!

2/34#'1%+^+E4"#-.).+F+(/$/(#-$)G/()*"+&-+3$%3)-&/&-.+B4.)(/.+&-+$-('M$)?)-"#%+3/$/+(%".#$'(()*"S+/1)P-$/&%+(%"+?)($%A-.B-$/.+&-+(%3%14?-$%+/($41)(%+

EF"#<-.).+/"&+(</$/(#-$)G/#)%"+%B+3<F.)(/1+3$%3-$#)-.+%B+(%".#$'(#)%"+

(%]-$)"PS+1)P<#AJ-)P<#-&+J)#<+/+($F1)(+3%1F?-$+?)($%.3<-$-. =====================UO!

2/34#'1%+C++

_-F+&-+/#-"'/()*"+.4.?)(/+3/$/+-.#)?/$+1/+/(-1-$/()*"+?QN)?/+&-1+.'-1%+X`aVY+-"+7'-$8#/$%S+G%"/+&-1+2)"#'$*"+\%1(Q")(%+,-N)(/"%+X,\ZYS+&-&'()&/+3%$+/"Q1).).+&-+1/+#$/F-(#%$)/b+a'-$$-$%A7'-$8#/$%+

E-).?)(+/##-"'/#)%"+1/J+#%+-.#)?/#-+#<-+?/N)?'?+P$%'"&+/((-1-$/#)%"++`aVY+)"+7'-$-#/$%S+/+G%"-+%B+#<-+,-N)(/"+\%1(/")(+Z-1#+X,\ZYS+&-&'(-&+

MF+#$/0-(#%$F+/"/1F.).b+a'-$$-$%A7'-$-#/$%====================================================[[!

2/34#'1%+5c+H-(%"]%1'()*"+&-+.).?%P$/?/.+F+&-#-$?)"/()*"+&-1+$')&%+.4.?)(%+3/$/+-1+.).?*P$/B%+)".#/1/&%+-"+-1+(/?3'.+d'$)@')11/+&-+1/+efV,S+-.#/()*"+deg5=+`$%(-.%+&-+(/1)M$/()*"+3/$/+1/+%M#-"()*"+&-+]-1%A+()&/&-.S+&-.31/G/?)-"#%.+F+/(-1-$/()%"-.+.4.?)(/.+&-1+.'-1%+-"+7'-$8#/$%+

H-(%"]%1'#)%"+%B+E-).?%P$/?.+/"&+&-#-$?)"/A#)%"+%B+"%).-+.-).?)(.-).?%P$/3<+)".#/11-&+%"+(/?3'.+d'$)@')11/+efV,S+deg5+.#/#)%"+2/1)M$/#)%"+3$%(-..+#%+%M#/)"+.3--&S+&).31/(-?-"#+/"&+.-).A?)(+P$%'"&= +

/((-1-$/#)%".+)"+7'-$-#/$%============================================================================== ! !C5!

2/34#'1%+55+L.#)?/()*"+&-+(%"B)/M)1)&/&+.4.?)(/+&-+-&)B)()%.+'#)1)G/"&%+/"Q1).).+&)"Q?)(%+)"($-?-"#/1+&-1+4"&)(-+&-+&-P$/&/()*"+&-+1/+$)P)&-G+.-(/"#-+

L.#)?/#)%"+%B+.-).?)(+$-1)/M)1)#F+%B+M')1&)"P.+'.)"P+)"($-?-"#/1+

&F"/?)(+/"/1F.).+%B+#<-+.-(/"#+.#)BB"-..+&-P$/&/#)%"+)"&-N================== 5c5+

2/34#'1%+5>+L.#'&)%+($).#/1%P$QB)(%+&-+"/"%($).#/1-.+&-+&)/?/"#-+%M#-")&%.+/+3/$#)$+&-+#-@')1/+

2$F.#/11%P$/3<)(+.#'&F+%B+&)/?%"&+"/"%($F.#/1.+.F"#<-.)G-&+'.)"P++

#-@')1/+/.+3$-('$.%$ =========================================================================================55D+

2/34#'1%+5D+H).('$.%.+]).'/1-.+-"+1/+()'&/&+3/"#/11/+

\).'/1+.3--(<-.+)"+#<-+.($--"+()#F! ================================================================5>5

! U;U;U;U;;;;;;;;;!!!!

2/34#'1%+5K+!"P-")%+F+#-("%1%P4/++3/$/+1%P$/$+'"+P$/"+)?3/(#%+-"+1/.+#$/".B%$?/()%"-.++-&'(/#)]/.+

!"P-"')#F+/"&+#-(<"%1%PF+#%+/(<)-]-+/+?/0%$+)?3/(#+%"+-&'(/#)%"/1+(</"P-+ ==============================================================================================================5D5+

2/34#'1%+5O+!"P-")-$4/.S+$-@'-$)?)-"#%.+-"+(%?3-#-"()/.+

L"P)"--$)"Pb+$-@')$-?-"#.+%B+(%?3-#-"(- ===================================================5DC+

2/34#'1%+5U+E%()-&/&+-A_-/$")"P+-+!"P-")-$4/S+-N3-(#/#)]/.+3/$/+1%.+&%(-"#-.+&-1+EfLE9+-"+-1+3/$/&)P?/+-A_-/$")"P+

-A_-/$")"P+.%()-#F+/"&+-"P)"--$)"PS+-N3-(#/#)%".+B%$+#-/(<-$.+%B+EfLE9 +

)"+#<-+-A1-/$")"P+3/$/&)P? ==============================================================================5K[+

2/34#'1%+5[+_%.+/$(%.S+]4"('1%+-"#$-+1/+!"P-")-$4/+F+1/.+,/#-?Q#)(/.+

V$(<.S+/+1)"T+M-#J--"+L"P)"--$)"P+/"&+,/#<-?/#)(. =================================5OC+

2/34#'1%+5^+V3$-"&)G/0-+(%1/M%$/#)]%+M/./&%+-"+?'"&%.+])$#'/1-.+

2%11/M%$/#)]-+1-/$")"P+M/.-&+%"+])$#'/1+J%$1&.++++============================================5[5+

2/34#'1%+5C+e"/+$-]).)*"+&-+&-#-(()*"+F+$-?%()*"+&-+.%?M$/.+-"+)?QP-"-.+&-+#$QB)(%+-"+<%$/$)%+&)'$"%+-"+-.(/1/+&-+P$).+

V+$-])-J+%"+#<-+&-#-(#)%"+/"&+$-?%]/1+%B+.</&%J.+)"+&/F#)?-+#$/BB)(+P$/F.(/1-+)?/P-.+=============================================================================================5^5+

2/34#'1%+>c+V"Q1).).+&-+&-+P$Q"'1%.+&-+/1?)&*"+-?31-/"&%+3$%(-./?)-"#%++?%$B%1*P)(%+&-+)?QP-"-.+

V"/1F.).+%B+.#/$(<+P$/"'1-.+'.)"P+?%$3<%1%P)(/1+)?/P-+3$%(-..)"P ====================================5C5+

2/34#'1%+>5+,%&-1/&%+&-+2%"#/?)"/"#-.+V#?%.B8$)(%.+-"+1/+()'&/&+&-+,8N)(%+?-&)/"#-+,Q@')"/.+&-+E%3%$#-+&-+\-(#%$-.+

,%&-11)"P+%B+/)$M%$"-+3/$#)('1/#-+?/##-$+)"+?-N)(%+()#F+MF+'.)"P+.'33%$#+]-(#%$+?/(<)"-. =================================================================================5CC

! ;d;d;d;d!!!!

2/34#'1%+>>+V"Q1).).+&-+.).#-?/.+&-+(%"#$%1+&-+#$/(()*"+3/$/+'"+/'#%?*])1+-18(#$)(%+

V"/1F.).+%B+#$/(#)%"+(%"#$%1+.F.#-?.+B%$+/"+-1-(#$)(+]-<)(1-========================>cC+

2/34#'1%+>D+,%&-1/&%+F+.)?'1/()*"+&-+$-&-.+&-+#$QB)(%+]-<)('1/$+

,%&-1)"P+/"&+.)?'1/#)%"+%B+]-<)('1/$+#$/BB)(+"-#J%$T. ===============================>>D+

2/34#'1%+>K+H).-h%+-+)?31-?-"#/()*"+&-+'"+.-$]%+/?31)B)(/&%$+M/./&%+-"?)($%(%"#$%1/&%$+&-+/1#%+&-.-?3-h%+

H-.)P"+/"&+)?31-?-"#/#)%"+%B+/+.-$]%+/?31)B)-$+M/.-&+%"++<)P<A3-$B%$?/"(-+?)($%(%"#$%11-$............................. >D5+

2/34#'1%+>O+`$%(-./?)-"#%+&-+)?QP-"-.+/+(%1%$+3/$/+1/+&-#-(()*"+&-+-"B-$?-&/&-.+-"+(<)1-+3)?)-"#%+

`$%(-..)"P+(%1%$+)?/P-.+B%$+#<-+&-#-(#)%"+%B+&).-/.-.+)"+(<)1)+3-33-$++ ===>DC+

2/34#'1%+>U+!&-"#)B)(/()*"+&-+`/$Q?-#$%.+-"+_4"-/+,-&)/"#-+g-&-.+f-'$%"/1-.++3/$/+'"+,%#%$+&-+!"&'(()*"+9$)BQ.)(%+

_)"-+`/$/?-#-$+!&-"#)B)(/#)%"+e.)"P+f-'$/1+f-#J%$T.+B%$+9<$--+`</.-+!"&'(#)%"+,%#%$ ================================================================================================>KC+

2/34#'1%+>[+H-#-(()*"+&-+%M0-#%.+#$)&)?-".)%"/1-.+

9<$--A&)?-".)%"/1+%M0-(#+&-#-(#)%"===============================================================>OC+

2/34#'1%+>^+2%"#$%1+?'1#)]/$)/M1-+&-+#/"@'-.+(%"+.'M.#/"()/.+@'4?)(/.+M/./&%+-"+1*P)(/+&)B'./+

,'1#)]/$)/M1-+(%"#$%1+#/"T+J)#<+(<-?)(/1.+M/.-&+%"+B'GGF+1%P)(+2%11/M%$/#)]-+1-/$")"P+M/.-&+%"+])$#'/1+J%$1&.+==========================================================>UC

!!!!!"#$%&'(!"#$%&'(!"#$%&'(!"#$%&'()*)*)*)*++++))))))))

,(-.'"-()-.)!(/%",0/,(-.'"-()-.)!(/%",0/,(-.'"-()-.)!(/%",0/,(-.'"-()-.)!(/%",0/"/%.1)"%,(12340!(1)."/%.1)"%,(12340!(1)."/%.1)"%,(12340!(1)."/%.1)"%,(12340!(1)./)'")/)'")/)'")/)'")!0&-"-)-.),350!(),.-!0&-"-)-.),350!(),.-!0&-"-)-.),350!(),.-!0&-"-)-.),350!(),.-0"/%.),67&0/"1)-.)1(0"/%.),67&0/"1)-.)1(0"/%.),67&0/"1)-.)1(0"/%.),67&0/"1)-.)1(#(4%.)-.)#(4%.)-.)#(4%.)-.)#(4%.)-.)8.!%(4.18.!%(4.18.!%(4.18.!%(4.1)))))))),(-.''0/9)(2)"04:(4/,(-.''0/9)(2)"04:(4/,(-.''0/9)(2)"04:(4/,(-.''0/9)(2)"04:(4/.)#"4%0!&'"%.),"%%.4.)#"4%0!&'"%.),"%%.4.)#"4%0!&'"%.),"%%.4.)#"4%0!&'"%.),"%%.4)0/),.50!())0/),.50!())0/),.50!())0/),.50!()!0%;):;)&10/!0%;):;)&10/!0%;):;)&10/!0%;):;)&10/9)1&##(4%)8.!%(4),"!9)1&##(4%)8.!%(4),"!9)1&##(4%)8.!%(4),"!9)1&##(4%)8.!%(4),"!<0/.1<0/.1<0/.1<0/.1)

Alfaomega TENDENCIAS EN INGENIERÍA, TECNOLOGÍA Y SOCIEDAD - GILBERTO HERRERA /COORDINADOR

!"#$%&'()'#'%*+'"(,-%$.'/(0*"1'(!2#'2&'(!1$3$4(5$"262.$7/(89":2(;'""'4#&$#*(<="#*.'/(>$4?4(@*"-'4(

A$."*7*(,"#$B*/(8%&-&'(C*"B*4()'#'(

5*1=-#*.(.$(D29'"%6#&1*(.$(-*(E2&3$"4&.*.(!=#F2'%*(.$(G=$":#*"'(

*"#$%&'H4'#'%*+'"I=*JH%K((

RESUMEN

El modelado y la predicción de partículas contaminantes son temas de

especial interés en las ciencias ambientales y de la salud. El

desarrollo de modelos de partículas contaminantes permite evitar

contingencias ambientales, prevenir aumento en los niveles de

enfermedades respiratorias sobre la población, entre otros. El

objetivo de este trabajo es manifestar la factibilidad del uso de

modelos de partículas contaminantes utilizando Máquinas de Soporte

de Vectores (MSV). El caso de estudio en este artículo es la ciudad

de México y su zona metropolitana, a partir de un conjunto de

mediciones experimentales de partículas contaminantes con un radio

menor a diez Micras (PM10)

Palabras clave

Modelado y predicción de partículas contaminantes, máquinas de

soporte de vectores, PM10.

0/%4(-&!!0=/)

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

"##!!!$%&'()*+!", !!! -!.+/0*%/+!/0!1+2(%342%2(05!%(3+567841+5!02!*%!14)/%/!/0!.7941+!!

TENDENCIAS EN INGENIERÍA, TECNOLOGÍA Y SOCIEDAD - GILBERTO HERRERA /COORDINADOR Alfaomega

)1+1)(2(&+,1:#'&0'&#"$/()")(1+&0#'&#)1+,%1/# (+'.0,%("/:# ?!"#$%&'('()'"*+',--./@#K"0,"#21'&/10#'&#$%&'())(*+#&)1+*2()10#?S"$"+T&47)K#7#S"+T"%:#LCCB@;#

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

U+#LCCQ#^"+3#?^"+3#()+'"*+/#LCCQ@#"2$/("#&/#,%"9"<1#'&#VSW#$"%"#$%&'())(*+#'&#$"%,-)./"0#)1+,"2(+"+,&0#"/#K")&%#.+"#)12$"%")(*+#)1+# %&'&0#+&.%1+"/&0#"%,(>()("/&0;# !"0#VSW#.,(/(="+#>.+)(1+&0# '&# T&%+&/# 3".00("+"# $"%"# /"# $%&'())(*+# '&# )1+,"2(+"+,&0;# !"0# $%&'())(1+&0# 01+#%&"/(="'"0#'.%"+,&#(+,&%4"/10#'&#,(&2$1#'&#_L#K1%"0;#

U+# &/# ,%"9"<1# '&# \01`0T7# 7# E"%"+,7# ?LCCP@:# )&+,%"'1# &+# /"# $%&'())(*+# '&# $"%,-)./"0#)1+,"2(+"+,&0:#0&#.,(/(="#.+"#,5)+()"#K-9%('"#R.&#(+)/.7&#26R.(+"0#'&#01$1%,&#'&#4&),1%&0#7#/"#,%"+0>1%2"'"# `"4&/&,# F".9&)K(&0# F9a;# !"0# 26R.(+"0# '&# 01$1%,&# '&# 4&),1%&0# .,(/(="+#>.+)(1+&0# '&# T&%+&/# 3".00("+1# 7# $1/(+12("/;# !10# $"%62&,%10# .,(/(="'10# &+# &0,&# ,%"9"<1# 01+b#,&2$&%",.%":#K.2&'"':#$%&0(*+#",210>5%()":#2&0:#'-"#'&# /"#0&2"+":#4&/1)('"':#'(%&))(*+#'&/#4(&+,1#7#'",10#&0$&)->()10#'&#)"'"#$"%,-)./":#R.&#'"+#)121#%&0./,"'1#.+"#26R.(+"#'&#01$1%,&#$1%# )"'"# ,($1#'&#)1+,"2(+"+,&# ?S\L:#c\L:#XVGC:#&,);@;# !10#$"%62&,%10# /(9%&0# 01+#"<.0,"'10#"%9(,%"%("2&+,&;#

U+# &0,&# ,%"9"<1:# 0&# %&"/(="# .+# &0,.'(1# )12$"%",(41# .,(/(="+'1# 26R.(+"0# '&# 01$1%,&# '&#4&),1%&0#)1+#/"0#>.+)(1+&0#'&#T&%+&/#3".00("+1#7#$1/(+12("/:#%&"/(="+'1#$%&'())(1+&0#'&#+(4&/&0#'&# )1+,"2(+"+,&0# ",210>5%()10# '&# >1%2"# 2&+0."/:# )1+# '",10# '&# $"%,-)./"0# )1+,"2(+"+,&0#)12$%&+'('"0# &+,%&# /10# "A10b# LCCa[LCGC;# !"0# $"%,-)./"0# "#21'&/"%# 01+# /"0#2&+1%&0# "# '(&=#2()%"0#'&#'(62&,%1#?XVGC@;#

!(/%",0/"!0=/)",:0./%"')

!"# )1+,"2(+")(*+# "29(&+,"/# K"# 0('1# $1%# 4"%(10# "A10# .+# $%19/&2"# )%&)(&+,&# 7# )1+0,"+,&:#&0$&)("/2&+,&#&+#)(.'"'&0#'&+0"2&+,&#$19/"'"0#7# =1+"0#2&,%1$1/(,"+"0;#UZ(0,&+#'(>&%&+,&0#,($10# '&# )1+,"2(+"+,&0# "29(&+,"/&0:# $1%# &<&2$/1:# "/3.+10# )12$.&0,10# )121# '(*Z('1# '&#0./>.%1:#21+*Z('1#'&#)"%91+1#7#$"%,-)./"0#"29(&+,"/&0#?$"%,()./",&#2",,&%@#R.&#0&#)1+0('&%"+#)121#(+'()"'1%&0#,-$()10#'&#)"/('"'#"29(&+,"/#?d"291+(#()'"*+/#LCCB:#e1%4",K#()'"*+/#LCCC@;#

f/3.+"0# '&# /"0# $"%,-)./"0# R.&# 0&# &+).&+,%"+# 0.0$&+'('"0# &+# &/# "(%&# 01+# &2(,('"0#'(%&),"2&+,&#'&0'&#0.#>.&+,&#'&#1%(3&+:#)121#)K(2&+&"0#(+'.0,%("/&0#7#)1)K&0:#$&%1#&+#1,%10#)"010#)121#&/#'(*Z('1#'&#"=.>%&#S\L:#&/#'(*Z('1#'&#+(,%*3&+1#I\L:#&/#21+*Z('1#'&#)"%91+1#c\#7# )12$.&0,10# 1%36+()10# 41/6,(/&0# ?W\c@:# 0&# (+,&%"),8"# )1+# 1,%10# )12$.&0,10# &+# &/# "(%&# R.&#>1%2"+#$"%,-)./"0#./,%">(+"0#1#"&%101/&0:# /"0#)."/&0#4"%-"+#0.0#$%1$(&'"'&0#R.-2()"0#7#>-0()"0#'&$&+'(&+'1# '&# 0.# /1)"/(=")(*+:# ,(&2$1g&0,")(*+# '&/# "A1# 7# 2&'(1# "29(&+,&# ?O%(330# ()' "*;:#LCCa@;#

UZ(0,&#2.)K1#(+,&%50#&+#21+(,1%&"%:#21'&/"%#7#$%&'&)(%# ,&+'&+)("0#'&# /10#+(4&/&0#7#&>&),10#'&#/"0#$"%,-)./"0#"29(&+,"/&0#?$"%,()./",&#2",,&%@#2&+1%&0#"#GC#h2#?^"+3#()'"*+/#LCGC:#!(+3#[#

:02/0214%5!02!42;02408'%<!(012+*+;'%!=!5+140/%/!!!!!!!!!!!!!!!!!!!!!!!! !!""#,#

N"+#()'"*+/#LCCa:#O%(330#()'"*+/#LCCa@;#U0,"0#$"%,-)./"0#01+#&0$&)("/2&+,&# (2$1%,"+,&0#$1%#0.#(2$"),1# &+# /"# 0"/.'# $89/()":# $1%# &<&2$/1:# &0,"# &0# /"# >%"))(*+# '&# $"%,-)./"0# R.&#2"71%(,"%("2&+,&# 0&# "/1<"# &+# /10# $./21+&0H# &0,1# &0# $%(+)($"/2&+,&# 3%"4&# $"%"# /"# $19/")(*+#260#4./+&%"9/&#)121#/10#+(A10#7#"+)("+10#?^&(+2"7%#()'"*+/#LCGC:#O%11T#()'"*+/#LCGC;#f'&260:#K"# 0('1# /(3"'1# &/# (+)%&2&+,1# &+# )12$/()")(1+&0# 25'()"0# &+# (+'(4('.10# )1+# $%19/&2"0#)"%'(14"0)./"%&0# &# (+'(4('.10# )1+# "02":# )1+# &/# (+)%&2&+,1# &+# /"# )1+)&+,%")(*+# '&# XVGC# 7#XVL;Q#&+#&/#"29(&+,&#?^&(+2"7%#()'"*+/#LCGC@;#

U+#3&+&%"/:# /"0#$"%,-)./"0#2&+1%&0#"#GC#2()%*2&,%10# 01+#0.9[)/"0(>()"'"0#&+#i#'(4(0(1+&0b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d"291+(# ()' "*+/# LCCB@;# X1%# /"0# )"%"),&%-0,()"0#$%&0&+,"'"0#&+#&0,10# ,($10#'&#$"%,-)./"0:#&0#R.&#$%&0&+,"+#.+#)12$1%,"2(&+,1#'(+62()1#+1#/(+&"/#'.%"+,&#0.#,(&2$1#'&#4('":#'&9('1#"#,1'10#/10#>&+*2&+10#>-0()10#7#R.-2()10#$%&0&+,"'10:#"/#(3."/#R.&#"#/10#)"29(10#)/(26,()10:#7#"#/"0#)1+'()(1+&0#3&13%6>()"0#'&#/"#6%&";#

,67&0/"1)-.)1(#(4%.)-.)8.!%(4.1)

!"# ,&1%-"# '&# /"0#26R.(+"0#'&# 01$1%,&# '&# 4&),1%&0# >.&#'&0"%%1//"'"#$1%# W"$+(T# &+# &/# "A1#'&#GBBQ#?W"$+(T#()'"*+/'GBBQ@;#U0,6#,5)+()"#$&%,&+&)&#"/#629(,1#'&/#"$%&+'(="<&#".,126,()1;#!"0#VSW#K"+#0('1#"2$/("2&+,&#.,(/(="'"0#&+#"$/()")(1+&0#'&#)/"0(>()")(*+#'&#19<&,10:#$%&'())(*+#'&#0&%(&0# '&# ,(&2$1:# "+6/(0(0# $1%# %&3%&0(*+# 7# %&)1+1)(2(&+,1# '&# $",%1+&0;# !"0# 26R.(+"0# '&#01$1%,&#'&#4&),1%&0#,(&+&+#)121#9"0&#&/#$%(+)($(1#'&#2(+(2(=")(*+#'&#%(&031#&0,%.),.%"'1;#

U+#&/#"+6/(0(0#2&'("+,&#26R.(+"0#'&#01$1%,&#'&#4&),1%&0:#/"#('&"#$%(+)($"/#&0#,%"+0$1%,"%#.+#)1+<.+,1#'&#'",10#3#"#.+#&0$")(1#'(2&+0(1+"/#260#"/,1#4/'.,(/(="+'1#.+"#>.+)(*+#'&#2"$&1#+1#/(+&"/#φ#7#$10,&%(1%2&+,&#%&"/(="%#.+"#%&3%&0(*+#/(+&"/#&+#&/#&0$")(1#'(2&+0(1+"/#1%(3(+"/;#X1%#/1#,"+,1:# /"# "$%1Z(2")(*+# '&# /"# %&3%&0(*+:# "91%'"# .+# $%19/&2"# '&# &0,(2")(*+# '&# >.+)(1+&0#

.,(/(="+'1# .+# )1+<.+,1# '&# '",10# G = {xi,di}il # '1+'&# 3%# %&$%&0&+,"# 4&),1%&0# '&# &+,%"'"# 7#5%'

%&$%&0&+,"#/10#4"/1%&0#'&#0"/('"#'&0&"'10:#/"#%&$%&0&+,")(*+#>1%2"/#"#$"%,(%#'&#/"#>.+)(*+#φ:#0&#2.&0,%"#&+#/"#0(3.(&+,&#&).")(*+b#

y = wiφi (x) + bi=1

! # ?G@#

F1+'&# {φ(x)}i=1l # %&$%&0&+,"# &/# )1+<.+,1# '&# '",10# '&# &+,%"'"# Z# {w}i=1

l # 7# 9# 01+# /10#

)1&>()(&+,&0#)"/)./"'10#2&'("+,&#.+"#>.+)(*+#'&#2(+(2(=")(*+#'&#%(&031#&0,%.),.%"'1#'&>(+('"#&+#/"#&).")(*+#L;#

R(C) = C1

NLε (di , yi )

2|| w ||

2# ?L@#

"#"!!!$%&'()*+!", !!! -!.+/0*%/+!/0!1+2(%342%2(05!%(3+567841+5!02!*%!14)/%/!/0!.7941+!!

F1+'&:#

Lε (d, y) =d − y − ε

d − y ≥ ε

others# ?i@#

F1+'&#ε#&0#.+#$"%62&,%1#&0,"9/&)('1:# Lε (d, y)&0# /"# >.+)(*+#$5%'('"0#ε[(+0&+0(9/&0#R.&#+1#

$&+"/(="#/10#&%%1%&0#'&#4"/1%#(+>&%(1%#"#ε;#U/#,5%2(+1#'&#/"#&).")(*+#L:#1

#&0#/"#2&'('"#'&#/"#

>.+)(*+# '&# .+(>1%2('"'# 7# &/# >"),1%# '&# $&+"/(=")(*+# 6/' &0# .+"# )1+0,"+,&# %&3./"%(="'"# R.&#'&,&%2(+"#/"#)12$&+0")(*+#&+,%&#/"#>.+)(*+#'&#%(&031#7#/"#.+(>1%2('"'#'&/#21'&/1;#

!"0#4"%("9/&0#'&#K1/3.%"#01+#/"0#%&0$1+0"9/&0#'&#/"#.+(>1%2('"'#'&/#21'&/1;#S(#(+,%1'.)(210#/"0#4"%("9/&0#'&#K1/3.%"#ζ#7#ζj#&+#/"#&).")(*+#L:#+10#//&4"%6#"#/"#%&>1%2./")(*+#210,%"'"#"#&+#/"#&).")(*+#Mb#

R(w,ζ ) =1

* (ζ i + ζ i

* )i=1

! wφ (xi ) + b − d i ≤ ε + ζ i # ?M@#

S.<&,1#"b# di −wφ(xi )+b−di ≤ ε +ζ i # ?Q@#

U+#)1+0&).&+)(":#/"#&).")(*+#'&#%&3%&0(*+#$.&'&#0&%#%&0)%(,"#'&#/"#0(3.(&+,&#>1%2"b#

f (x,α ,α *) = (α i −α i

*)K (x, xi ) + b

! # ?P@#

U+#/"#&).")(*+#P:#α#7#αj#01+#28/,($/10#'&#!"3%"+3&#R.&#0",(0>")&+#/"#(3."/'"'#αi *αi

*= 0 :#

* ≥ 0 :#(:k:/:H#$.&'&#0&%#)"/)./"'"#2"Z(2(="+'1#/"#>1%2"#'."/#19,&+(&+'1b#

φ(α,α*)= di (αi,αi

*)−ε (αi,αi

*)−1

2(αi,αi

*)(α j ,α j

! K(αi,α j )# ?_@#

F1+'&:#

(αi −αi

*) = 0

con restricciones:

i=1,…,l

0 ≤α*

i ≤C #(lG:k:/# ?a@#

F&#").&%'1#"#/"#+",.%"/&="#)."'%6,()"#'&#/"#$%13%"2")(*+:#0*/1#/10#$"%&0#'&#'",10#'(0,(+,10#

'&# )&%1# (αi −α i

*) # $.&'&+# 0&%# .,(/(="'10# )121# 4&),1%&0# '&# 01$1%,&# 7# J?Z(# :# Z<@lφ?Z(@j# φ?Z<@#

%&$%&0&+,"+#/"0#>.+)(1+&0#'&#T&%+&/;#

:02/0214%5!02!42;02408'%<!(012+*+;'%!=!5+140/%/!!!!!!!!!!!!!!!!!!!!!!!! !!""#>#

'"1)2&/!0(/.1)-.)>.4/.')

!10#)6/)./10#%&/")(1+"'10#)1+#φ#0&%6+#%&"/(="'10#0*/1#$1%#.+"#>.+)(*+#'&#T&%+&/#7#0&#"$/()"%6+#"#.+#)1+<.+,1#'&#'",10#'&#&+,%"'"#?W"$+(T:#GBBQ@;#X"%"#R.&#.+"#>.+)(*+#2",&26,()"#$.&'"#0&%#.,(/(="'"#)121#>.+)(*+#'&#T&%+&/:#'&9&#0",(0>")&%#/"#)1+'()(*+#'&#V&%)&%D0#?S)Km/T>1$>#O#7#S21/":#GBBB@;#!"#)1+'()(*+#'&#V&%)&%D0#&0,"#'&0)%(,"#&+#/"#&).")(*+#Mb#

K(xi, x j ) = φ(xi ),φ(x j ) (4)

!"0# >.+)(1+&0# '&# T&%+&/# 01+# .+# ,*$()1# '&# &0$&)("/# (+,&%50# &+# &/# '&0"%%1//1# 7# /"#(2$/&2&+,")(*+# '&# 26R.(+"0# '&# 01$1%,&# '&# 4&),1%&0:# '&9('1# "# R.&# /"0# 1$&%")(1+&0:#%&/")(1+"'"0#)1+#φ:#01+#%&"/(="'"0#8+()"2&+,&#$1%#.+"#>.+)(*+#'&#T&%+&/#J#7#0.#$%1$*0(,1#&0#,%"+0$1%,"%#.+#)1+<.+,1#'&#'",10# Z:# "#.+#&0$")(1#'(2&+0(1+"/#260#"/,1:# n;# !"0# >.+)(1+&0#'&#T&%+&/# ,"29(5+# $&%2(,&+# "+"/(="%# $%19/&2"0# +1[/(+&"/&0# &+# .+# 0.9)1+<.+,1# '&# $%19/&2"0#/(+&"/&0# ?S)Km/T>1$># 7# S21/"# GBBBH# c%(0,("+(+(:# LCCC@;# U+# &0,&# ,%"9"<1# 0&# $%1$1+&# &/# .01# '&#>.+)(1+&0# '&# T&%+&/# '(0,(+,"0:# 3".00("+1:# 7# $1/(+12("/;# f# )1+,(+.")(*+# 0&# $%&0&+,"+# /"0#>.+)(1+&0#'&#T&%+&/#260#.,(/(="'"0#/"#/(,&%",.%"#'&#26R.(+"0#'&#01$1%,&#'&#4&),1%&0b#

!"#'&>(+()(*+#'&#.+"#>.+)(*+#'&#T&%+&/#3".00("+1#&0,6#'&>(+('"#&+#/"#&).")(*+#Q:#'1+'&#σ#&0#.+#$"%62&,%1#/(9%&#7#0.#4"/1%#$.&'&#0&%#"<.0,"'1#'&#2"+&%"#"%9(,%"%("#?c%(0,("+(:#LCCC@;#

K(xi , x j ) = exp− xi − x j

++# ?Q@#

!"# >.+)(*+# '&# T&%+&/# $1/(+12("/# &0# '&>(+('"# ?S)Km/T>1$># 7# S21/":# GBBB@# $1%# /"# &).")(*+#P;#

F1+'&# xi, xj # &0# &/# $%1'.),1# $.+,1# '&# 3%# 7# 37:# /"# 4"%("9/&# (+'()"# /"# /1+3(,.'# '&/# &0$")(1#

'(2&+0(1+"/#2"$&"'1b#

K(xi , x j ) = ,xi , x j -d# ?P@#

U+# 3&+&%"/:# .+"#26R.(+"# '&# 01$1%,&# '&# W&),1%&0# )12$"%,&# .+#21'&/1#2",&26,()1# 7# .+"#"%R.(,&),.%"#0(2(/"%#"#.+"#%&'#+&.%1+"/:#&0,1#0&#(/.0,%"#&+#/"#n(3.%"#LG;G;#

5&B="*(LMHM(!"J=&#$1#="*(.$(=2*(%6J=&2*(.$(4'N'"#$(.$(3$1#'"$4H(

"#?!!!$%&'()*+!", !!! -!.+/0*%/+!/0!1+2(%342%2(05!%(3+567841+5!02!*%!14)/%/!/0!.7941+!!

,.%(-('(9$")

!"# 2&,1'1/13-"# $%1$.&0,"# &0# ,12"'"# '&# !.# 7# ^"+3# ?LCCQ@# 7# ^"+3# ?LCGC@:# &+# /"# R.&# 0&#'&0)%(9&:# '&# 2"+&%"# 3&+&%"/:# /10# $"010# 2-+(210# +&)&0"%(10# $"%"# %&"/(="%# $%&'())(1+&0# '&#$"%,-)./"0#)1+,"2(+"+,&0:#.,(/(="+'1#26R.(+"0#'&#01$1%,&#'&#4&),1%&0#7:#'&#2"+&%"#&Z)/.0(4":#>.+)(1+&0#'&#T&%+&/#3".00("+"#7#$1/(+12("/;#U+#&0,"#,&0(0:#0&#$%1$1+&#&/#.01#7#/"#)12$"%")(*+#'&#'(>&%&+,&0#>.+)(1+&0#'&#T&%+&/:#"A"'(&+'1#9/1R.&0#&Z,%"#"#/"#2&,1'1/13-"#0.3&%('"#R.&#0&#2.&0,%"#&+#/"#n(3.%"#LG;L;#

4.1&'%"-(1).5#.40,./%"'.1)

],(/(="+'1# 2&'()(1+&0# &Z$&%(2&+,"/&0# '&# XVGC# '.%"+,&# /10# "A10# LCCa# "# LCGC:# ?'1+'&# /10#'",10#'&/#LCCa#7#LCCB#0&#.,(/(="%1+#$"%"#)%&"%:#&+,%&+"%#7#">(+"%#&/#21'&/1#'&#VSWD0@#0&3.('1#'&#28/,($/&0# 0(2./")(1+&0# %&"/(="'"0# ?"<.0,"+'1# /10# 4"/1%&0# '&# /10# $"%62&,%10# /(9%&0# '&# /"0#VSW@:# &/# $"%62&,%1# /(9%&#o# 0&#"<.0,*# )1+#4"/1%&0#'&#LH#&/# $"%62&,%1# /(9%&# p# 0&#"<.0,*# )1+#.+#4"/1%#GGH#/"#4"%("9/&#'&#)12$&+0")(*+#c#0&#"<.0,*#)1+#&/#4"/1%#'&#GCCC;##

5&B="*(LMHO*H(0'.$-'(.$(N*"#P1=-*4(

1'2#*%&2*2#$4(A0MQ(%$.&*2#$(

%6J=&2*4(.$(4'N'"#$(.$(3$1#'"$4(

=#&-&7*2.'(=2(R$"2$-(;*=44&*2'H(

5&B="*(LMHOSH(0'.$-'(.$(N*"#P1=-*4(

1'2#*%&2*2#$4(A0MQ(%$.&*2#$(

%6J=&2*4(.$(4'N'"#$(.$(3$1#'"$4(

=#&-&7*2.'(=2(R$"2$-(;*=44&*2'H(

5&B="*(LMHOH(0'.$-'4(!2=*-$4(.$(N*"#P1=-*4(1'2#*%&2*2#$4(A0MQ(%$.&*2#$(%6J=&2*4(.$(

4'N'"#$(.$(3$1#'"$4H(

:02/0214%5!02!42;02408'%<!(012+*+;'%!=!5+140/%/!!!!!!!!!!!!!!!!!!!!!!!! !!""#@#

X%&X%&X%&X%&$%1)&0"2(&+,1b#$%1)&0"2(&+,1b#$%1)&0"2(&+,1b#$%1)&0"2(&+,1b# "+"/(="%# /10# '",10# '&#&+,%"'":#0(#&0#$10(9/&:#+1%2"/(="%#/10#'",10#&+# .+"# &0)"/"# '&# q[G:Gr# &# ('&+,(>()"%#$10(9/&0#'",10#>.&%"#'&#%"+31;#

V6R.(+"0#'&#S1$1%,&#'&#4&V6R.(+"0#'&#S1$1%,&#'&#4&V6R.(+"0#'&#S1$1%,&#'&#4&V6R.(+"0#'&#S1$1%,&#'&#4&),1%&0b#),1%&0b#),1%&0b#),1%&0b#&/&3(%#&/#21'1# '&# ,%"9"<1# '&# /"0# 26R.(+"0# '&#01$1%,&#'&#4&),1%&0#7#'&,&%2(+"%#0(#&0#.+#$%19/&2"# '&# %&3%&0(*+# 1# '&# )/"0(>()")(*+;#U+# &0,&# ,%"9"<1:# 8+()"2&+,&# 0&# .,(/(="%6#26R.(+"0# '&# 01$1%,&# '&# 4&),1%&0#,%"9"<"+'1#&+#21'1#'&#%&3%&0(*+;##

S&/&))(*+#'&S&/&))(*+#'&S&/&))(*+#'&S&/&))(*+#'&#>.+)(1+&0#'&#T&%+&/b## >.+)(1+&0#'&#T&%+&/b## >.+)(1+&0#'&#T&%+&/b## >.+)(1+&0#'&#T&%+&/b#&+#&0,&#$"01# 0&# &/(3&# .+"# >.+)(*+:# 0&# "A"'&+# /10#$"%62&,%10#/(9%&0;#U+#&/#)"01#'&#.+#T&%+&/#3".00("+1# 0&# "A"'&# &/# 4"/1%# '&# /"0#4"%("+="0#δ;#U+#)"01#'&#R.&#&/#T&%+&/#0&"#$1/(+12("/:# 0&# "A"'&# &/# 3%"'1# '&/#$1/(+12(1##+'

S&/&))(*+# '&# $"%62S&/&))(*+# '&# $"%62S&/&))(*+# '&# $"%62S&/&))(*+# '&# $"%62&,%10# /(9%&0# c# 7#&,%10# /(9%&0# c# 7#&,%10# /(9%&0# c# 7#&,%10# /(9%&0# c# 7# εεεεb#b#b#b#0&/&))(*+# '&# /10# $"%62&,%10# /(9%&0# '&# /"0#26R.(+"0# '&# 01$1%,&# '&# 4&),1%&0;# U/#$"%62&,%1# /(9%&# 6/# //"2"'1# )1+0,"+,&# '&#$&+"/(=")(*+:# '&,&%2(+"# /"# )12$&+0")(*+#&+,%&# /"# >.+)(*+# '&# %(&031# ?(+K&%&+,&# "#)"'"#26R.(+"#'&#01$1%,&#'&#4&),1%&0@#7#/"#.+(>1%2('"'#'&/#21'&/1;#U/#$"%62&,%1#/(9%&#%&0$1+0"9/&#'&# /"#0&+0(9(/('"'#'&/#21'&/1#"# /10# &%%1%&0# 7# ,1'1# 4"/1%# 2&+1%# "/#$"%62&,%1#ε:#0&%6+#12(,('10;##

c6/)./1# '&# %&0./,"'10b#c6/)./1# '&# %&0./,"'10b#c6/)./1# '&# %&0./,"'10b#c6/)./1# '&# %&0./,"'10b# .+"# 4&=# "<.0,"'10#/10# $"%62&,%10# '&# /"#26R.(+"# '&# 01$1%,&#'&# 4&),1%&0:# 0&# $%1)&'&# "# %&"/(="%# /10#)6/)./10;##

U4"/.")(*+#'&#%&0./,"'10b#U4"/.")(*+#'&#%&0./,"'10b#U4"/.")(*+#'&#%&0./,"'10b#U4"/.")(*+#'&#%&0./,"'10b#/10#%&0./,"'10#'&/#21'&/1#0&#&4"/8"+#.,(/(="+'1#8"3%9:9';<=>*:)('?8;?@'?@@>@'1#9(&+#A("=)'8("$='BC:"@('?@@>@'?A8B?@#?!.#7#^"+3:#LCCQH#\01`T(0#7#E"%"+,7:#LCC_H#^"+3#LCGC@;#

5&B="*(LMHL(0$#'.'-'BP*(N*"*(-*(1'24#"=11&F2(.$(%'.$-'4(&%N-$%$2#*2.'(06J=&2*4(.$(

)'N'"#$(.$(C$1#'"$4H(

"#A!!!$%&'()*+!", !!! -!.+/0*%/+!/0!1+2(%342%2(05!%(3+567841+5!02!*%!14)/%/!/0!.7941+!!

T*S-*(LMHM(U$4=%$2(.$("$4=-#*.'4(1'2#*%&2*2#$4(A0MQ(%$.&*2#$(%6J=&2*4(.$(4'N'"#$(.$(3$1#'"$4(

>?@A?B)9CDEEFCAG) >?@A?B)#GBFAGHFCB)

%F?HIG)J?)?K?LDLFMA) P_Q;B#0&3.+'10# GGLP;G#0&3.+'10#

/GN),OPDFACE)J?)1GIG@Q?)J?)8?LQG@?E) LCi# #GBP#

1FRHC) ####L# [[#

9@CJG)J?B)IGBFAGHFG) [[# ####Q#

.@@G@)IG@L?AQDCBN) Gis# GBs#

T*S-*(LMHL(U$4=%$2(.$("$4=-#*.'4(%$24=*-$4(.$(N*"#P1=-*4(1'2#*%&2*2#$4(A0MQH(

!(/!'&10(/.1);)%4":"S()2&%&4()

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

>?@A?B)#GBFAGHFCB) >?@A?B)9CDEEFCAG),GJ?BG)*T+T)

#### /GN)GU)18,) %F?HIG)J?)?K?LDLFMA)

/GN)GU)18,) %F?HIG)J?)?K?LDLFMA)

82$"'( Ga# C;M0# LG# C;L0#

5$S"$"'( LQ# C;M0# La# C;L0#

0*"7'( GC# C;M0# GM# C;L0#

!S"&-( GC# C;M0# GL# C;L0#

0*+'( LB# C;P0# iG# C;i0#

>=2&'( iC# C;P0# iC# C;i0#

>=-&'( L_# C;P0# iG# C;L0#

!B'4#'( GP# C;M0# Ga# C;L0#

)$N#&$%S"$( LQ# C;i0# iC# C;i0#

,1#=S"$( LB# C;P0# iG# C;i0#

V'3&$%S"$( GM# C;i0# GP# C;L0#

W&1&$%S"$( GM# C;i0# GP# C;L0#

:02/0214%5!02!42;02408'%<!(012+*+;'%!=!5+140/%/!!!!!!!!!!!!!!!!!!!!!!!! !!""#B#

)%-,()1#$"%"#&/#9.&+# '&0&2$&A1#'&# /"0#VSWD0;#]+"#4&+,"<"#260:#R.&#1>%&)&# /"#"$/()")(*+#'&#VSWD0:#&0#&/#3"%"+,(="%#/"#('&+,(>()")(*+#'&#4"/1%&0#2-+(210#7#26Z(210#3/19"/&0#&+#.+#0(0,&2":#)"%"),&%-0,()"#R.&#+1#$10&&+#/"0#%&'&0#+&.%1+"/&0#"%,(>()("/&0;#n(+"/2&+,&:#&+#.+#>.,.%1:#&+#/"0#>.+)(1+&0# '&# T&%+&/# ?).7"# ,"%&"# $%(+)($"/# &0#2"$&"%# '",10# '&# .+# &0$")(1# '(2&+0(1+"/# "# .+#&0$")(1# '(2&+0(1+"/# '&# 1%'&+# 0.$&%(1%@:# 0&# $/"+&"# (2$/&2&+,"%# >.+)(1+&0# 260# +14&'10"0:#)121b#^"4&/&,#T&%+&/:#n.==7#T&%+&/#1#T&%+&/0#K-9%('10;#

"94"-.!0,0./%(1)

!10#".,1%&0#"3%"'&)&+#"#/"#S&)%&,"%-"#'&/#V&'(1#f29(&+,&#'&/#E19(&%+1#'&/#F(0,%(,1#n&'&%"/#$1%#/"#"0&R.(9(/('"'#'&#/"0#9"0&0#'&#'",10#'&/#t+'()&#V&,%1$1/(,"+1#'&#/"#c"/('"'#'&/#f(%&#?uVUcf@;#v"29(5+:# 0&# "3%"'&)&# "# /"# SUX# "# ,%"450# '&/# $%13%"2"# Xw\VUX:# $1%# 0.# "$171# 21%"/# 7#&)1+*2()1#?+82&%1#'&#$%17&),1#GCi[QgCBgMGCC@;#

4.2.4./!0"1)

f)&4&0[n&%+"+'&=#V;f;:# x1+&0#E;w;:#J1/.$./"# N;w;:#w&()K&/,# v;:#S$&+)&%# x;^;:#X&'%"="[\%,&3"#c;:#"+'#E1%%10,(&,"# U;# yc"$"9(/(,7# 1># "# X1%,"9/&# cK%12",()#]+(,# >1%#V1+(,1%(+3# f(%91%+&#X"%,()/&0# 14&%#^('&#]%9"+#f%&"0z;#x1.%+"/#1>#0&+01%0:#e(+'" (̀#X.9/(0K(+3#c1%$1%",(1+;#?LCCB@#

O%(330#F;x:#e113K#J;:#V1%%(0#c;:#E.//(4&%#x;#yU>>&),0#1>#,%"4&/#21'&#1+#&Z$10.%&0#,1#$"%,()./",&#"(%#$1//.,(1+z:#U+4(%1+2&+,#u+,&%+",(1+"/:#W1/;iM:#$$;#GL{LL:#?LCCa@;#

c%(0,("+(+(:#I;:#SK"`&[v"7/1%:#x;:#f+#(+,%1'.),(1+#,1#S.$$1%,#W&),1%#V")K(+&0#"+'#1,K&%#T&%+&/[9"0&'#/&"%+(+3#2&,K1'0:#c"29%('3&#]+(4&%0(,7#X%&00:#c"29%('3&:#]J#LCCC;##

E%(4"0:# E;:# |# cK"/1./"T1.:# f;# yf%,(>()("/# +&.%"/# +&,`1%T# 21'&/0# >1%# $%&'(),(1+# 1># XVGC# K1.%/7#)1+)&+,%",(1+0:# (+# ,K&# E%&",&%# f%&"# 1># f,K&+0:# E%&&)&z;# f,210$K&%()# U+4(%1+2&+,:# W1/;# MC:# $$;#GLGP{GLLB;#?LCCP@;#

e1%4",K#e;b#yf&%101/0#[#"+#(+,%1'.),(1+z:#x1.%+"/#1>#U+4(%1+2&+,"/#w"'(1"),(4(,7#W1/;#QG:#$$;#Q[LQ:#?LCCC@;#

u;#S"$"+T&47)K#"+'#w;#S"+T"%:#}v(2&#0&%(&0#$%&'(),(1+#.0(+3#0.$$1%,#4&),1%#2")K(+&0b#f#0.%4&7:}#c12$.,",(1+"/#u+,&//(3&+)&#V"3"=(+&:#uUUU:#41/;#M:#+1;#L:#$$;#LM[ia:#?LCCB@;##

V;^;#E"%'+&%#"+'#S;w;#F1%/(+3:#I&.%"/#+&,`1%T#21'&//(+3#"+'#$%&'(),(1+#1>#K1.%/7#I\Z#"+'#I\L#)1+)&+,%",(1+0#(+#.%9"+#"(%#(+#!1+'1+:#f,210$K&%()#U+4(%1+2&+,#W1/;#ii;#$$;#_CB{_GB;#?GBBB@;#

I"3&+'%"#SVS:#JK"%&#V;#f%,(>()("/#+&.%"/#+&,`1%T#9"0&'#/(+&#01.%)&#21'&/0#>1%#4&K()./"%#&ZK".0,#&2(00(1+#$%&'(),(1+0#1>#"+#.%9"+#%1"'`"7;#x#v%"+0$1%,#w&0;#F;#W1/;B#I1;#i#$$;GBB{LCa;#?LCCM@;#

\0.+":# U;:# w;# n%&.+':# n;# E(%10(;b# S.$$1%,# 4&),1%#2")K(+&0b# v%"(+(+3# "+'# "$$/()",(1+0;# fu# V&21#GPCL:#V"00")K.0&,,0#u+0,(,.,&#1>#v&)K+1/137:#c"29%('3&:#Vf#MM;#GBB_;#

X;# W(1,,(# "+'#X;F;# E&+14":# f,210$K&%()# .%9"+# $1//.,(1+b# "$$/()",(1+0# 1># "%,(>()("/# +&.%"/# +&,`1%T#?fII@#,1#,K&#)(,7#1>#X&%.3(":#U)1/13()"/#V1'&//(+3#W1/;#GMa#$$;#L_{MP;#?LCCL@#

"#C!!!$%&'()*+!", !!! -!.+/0*%/+!/0!1+2(%342%2(05!%(3+567841+5!02!*%!14)/%/!/0!.7941+!!

X;F;#e(&+:#W;v;#O"):#e;c;#v"2:#F;F;#IK"+#"+'#!;F;#W+K:#u+>/.&+)&#1>#2&,&1%1/13()"/#)1+'(,(1+0#1+#XVL;Q# "+'# XVL;Q{XVGC# )1+)&+,%",(1+0# '.%(+3# ,K&# 21+011+# 0&"01+# (+# e"+1(:# W(&,+"2:#f,210$K&%()#U+4(%1+2&+,#W1/;iP#$$;#iM_i{iMaM;#?LCCL@#

w1'%(3.&=:#S;:#~.&%1/:#�;:#f/"0,.&7:#f;:#J"//10:#E;:#|#J"T"/("31.:#\;#S"K"%"+#yvK&#'.0,#)1+,%(9.,(1+0#,1# XVGC#"+'# vSX# /&4&/0# (+#S1.,K&%+# "+'#U"0,&%+#S$"(+z;# f,210$K&%()# U+4(%1+2&+,:# W1/;# iQ:# $$;#LMii{LMM_;#LCCG#

S;#\01`0T(#"+'#J;#E"%"+,7:#}n1%&)"0,(+3#1>#,K&#'"(/7#2&,&1%1/13()"/#$1//.,(1+#.0(+3#`"4&/&,0#"+'#0.$$1%,#4&),1%#2")K(+&:}#U+3(+&&%(+3#f$$/()",(1+0#1>#f%,(>()("/# u+,&//(3&+)&:#41/;#LC:#+1;#P:#$$;#_MQ[_QQ:#S&$,&29&%#?LCC_@;##

S)Km/T>1$>#O;b#S21/"#f;#x;b#"+'#O.%3&0#c;b#f'4"+)&0#(+#J&%+&/#V&,K1'0#{S.$$1%,#W&),1%#!&"%+(+3;#c"29%('3&:#V;f;b#Vuv#X%&00;#?GBBB@#

W"$+(T:# W;I;:# f;N;# cK&%41+&+T(0:# GBaB;# yvK&# +&)&00"%7# "+'# 0.>>()(&+,# )1+'(,(,1+0# >1%# ,K&#)1+0(0,&+)7# 1># ,K&# 2&,K1'# 1># &2$(%()"/# 2(+(2(=",(1+z# q(+# w.00("+r:# 7&"%911T# 1># ,K&# f)"'&27# 1>#S)(&+)&0#1>#,K&#]SSw#1+#w&)13+(,(1+:#c/"00(>()",(1+:#"+'#n1%&)"0,(+3:#L:#LG_{LMB:#V10)1`:#I".T":#?U+3/(0K# ,%"+0/;b# yvK&# +&)&00"%7# "+'# 0.>>()(&+,# )1+'(,(,1+0# >1%# ,K&# )1+0(0,&+)7# 1># ,K&# 2&,K1'# 1>#&2$(%()"/#2(+(2(=",(1+;#X",,&%+#w&)13+(,(1+#"+'#u2"3&#f+"/70(0z:#W1/;G:#$$;#LaM{iCQ:#GBBG@#

W/"'(2(%#I;#W"$+(T;#yvK&#+",.%&#1>#0,",(0,()"/#/&"%+(+3#,K&1%7z;#S$%(+3&%[W&%/"3#I&`#N1%T:#u+);:#I&`#N1%T:#IN:#]Sf:#?GBBQ@;#

^;#!.#"+'#^;#^"+3:#}X1,&+,("/#"00&002&+,#1>#,K&#0.$$1%,#4&),1%#2")K(+&#2&,K1'#(+#>1%&)"0,(+3#"29(&+,#"(%#$1//.,"+,#,%&+'0:}#cK&210$K&%&:#41/;#QB:#+1;#Q:#$$;#PBi[_CG:#f$%(/#?LCCQ@;##

^"+3#n;:#cK&+#F;S;:#cK&+3#S;N;:#!(# x;O;:#!(#V;x;:#w&+#d;e;# yu'&+,(>()",(1+#1># %&3(1+"/#",210$K&%()#XVGC# ,%"+0$1%,# $",K`"70# .0(+3# eNSX!uv:# VVQ[cVf~# "+'# 07+1$,()# $%&00.%&# $",,&%+# "+"/70(0z;#U+4(%1+2&+,"/#V1'&//(+3#|#S1>,`"%&;#W1/;#LQ:#$$;#BL_[BiM;#LCGC#

^&(+2"7%#E;:#w12&1#U;:#S"%(1#V;:#^&(/"+'#S;J;:#"+'#n1%"0,(&%&#n;b# ySK1%,[v&%2#U>>&),0#1>#XVGC#"+'#I\L#1+#w&0$(%",1%7#e&"/,K#"21+3#cK(/'%&+#`(,K#f0,K2"#1%#f0,K2"[/(T&#S72$,120b#f#S70,&2",()#w&4(&`#"+'#V&,"[f+"/70(0z;#U+4(%1+2&+,"/#e&"/,K#X&%0$&),(4&0:#W1/;#GGa:#I1;#M:#$$;MMB[MQ_:#?LCGC@#

N(/'(%(2:#N;:#|#O"7%"213/.:#V;#yf'"$,(4&#+&.%1[>.==7#9"0&'#21'&//(+3#>1%#$%&'(),(1+#1>#"(%#$1//.,(1+#'"(/7#/&4&/0#(+#)(,7#1>#d1+3./'"Tz;#cK&210$K&%&:#W1/;#Pi:#$$;#GQ_Q{GQaL;#?LCCP@#

d"291+(# E;:# c"$19("+)1# V;:# F"2(+&//(# U;# yU0,(2",(1+# 1># %1"'# 4&K()/&# &ZK".0,# &2(00(1+0# >%12#GBBL# ,1# LCGC# "+'# )12$"%(01+# `(,K# "(%# R."/(,7# 2&"0.%&2&+,0# (+# E&+1"z:# u,"/7# f,210$K&%()#U+4(%1+2&+,#W1/;#Mi:#$$;#GCaP{GCBL:#LCCB#

Dr. Emilio Vargas - Tendencias en IngenieríaE-mail: ventas@alfaomegaeditor.com.ar! Datos...

Documents

Transcript of Dr. Emilio Vargas - Tendencias en IngenieríaE-mail: ventas@alfaomegaeditor.com.ar! Datos...

MARIA ESPINO

Gudiño Kieffer Selección de Cuentos

Rodriguez Espino, Claudia.pdf

Espino Logia

produccion,cachuchas espino

Universidad de Barcelona. Datos catalográficos · 2020. 5. 25. · Universidad de Barcelona. Datos catalográficos Ex Baetica Romam : homenaje a José Remesal Rodrí-guez. – (Col·lecció

Degeneración espino cerebral

Pedro Espino Vargas - Consumidor

autobiografia de Karla Julissa Gudiño

Emma Lucía Gudiño Dávila Emma Lucía Gudiño Dávila Autora de Contabilidad 2000 Autora de Contabilidad 2000 Jorge E. Gudiño Dávila Jorge E. Gudiño Dávila.

Pedro Espino Vargas, AUSTRAL

Ecoparque el espino prt

BAJO EL ESPINO

107 maria guadalupe vargas gudiño

NTRA. SRA. DEL ESPINO

Jícaras Tristes - Alfredo Espino

Pedro Espino Vargas - Nestle

Espino, Alfredo - Jícaras Tristes

Trabajo final adel espino

GONZALO ESPINO SOBRE 1905