Ejercicio Programacion No Lineal Separable

 

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US@ASNGNJBÚM M@ IBMHNI ZHUNSNCIH (UMIZ) Hohrjbjb` [çpbj` @COH[BT@? Khthrgbmnr in s`iujbúm pnrn hi pr`cihgn kh pr`arngnjbúm m` ibmhni shpnrncih, g`strnmk`  pns` n pns` hi pr`jhkbgbhmt` mhjhsnrb` pnrn nc`rknr nc` rknr hi pr`cihgn, utbibznmk` hi nia`rbtg` kh  Cnsh rhstrbmabkn. rhstrbmabkn.  Nia`rbtg` ◀

 Cnsh Shstrbmabkn Uhrgbthm pinmthnr um muhv` pr`cihgn hqubvnihmth hq ubvnihmth (ibmhnibznk`) n pnrtbr khi pr`cihgn m` ibmh ibmhni ni np npib ibjn jnmk mk` ` um j`mou j`moumt mt` ` kh pn pns` s`ss qu quhh ph phrg rgbt bthh j`mst j`mstru rubr br um g`kh g`khi` i`

j`msbkhrnmk` umnynpr`xbgnjbúm bmbjbni, in juni phrgbtbrî hmj`mtrnr umn muhvn dumjbúm `cohtbv` rhstrbjjb`mhs hm târgbm`s kh m`s vnrbncihs sustbtutns (j`gp`mhmths khi g`khi` g`khi` ibmhni ibmhnibzn bznk`) k`).. Dbmnig Dbmnighmt hmth, h, kbjl` kbjl` g`khi` g`khi` sh rhsuhi rhsuhivh vh p`r hi hdbjbh hdbjbhmth mth gât` gâ t`k` k` kh sb sbgp gpih ihx, x, k` k`mkh mkh sh tbhm tbhmhh hm juhmt juhmtnn hi jr jrbt bthr hrb` b` kh nk nkynj ynjhm hmjb jbn6 n6 y i` i`ss rhsu rhsuit itnk nk`s `s `cthm `cthmbk bk`s `s sh shrî rîm m bmth bmthrp rprh rhtn tnk` k`ss hm tâ târg rgbm bm`s `s kh in inss vn vnrb rbnci ncihs hs kh khii  pinmthngbhmt` `rbabmni kh pr`cihgn, j`m in bmthmjbúm kh knr umn rhspuhstn sç m` úptbgn, ni ghm`s prúxbgn y dnjtbcih. J`mjhpt`s Jinvhs khi Nia`rbtg`? ◀ Dumjb`mhs pnrngâtrbjns? J`mstbtuyhm hi j`moumt` kh dumjb`mhs, jnkn umn hxprhsnkn hm dumjbúm kh umn s`in vnrbncih, j`m i`s târgbm`s j`rrhsp`mkbhmths yn shn kh in dumjbúm `cohtbv` ` kh ins rhstrbjjb`mhs ` ` ◀

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d(t)? Dumjbúm `cohtbv` pnrnghtrbznkn y ibmhnibznkn. ab(t)? Shstrbjjbúm b pnrnghtrbznkn y ibmhnibznkn.

Npr`xbgnjbúm bmbjbni? J`msbsth hm umn npr`xbgnjbúm n in s`iujbúm n pnrtbr kh in rhstrbjjbúm, k`mkh in pnrth ibmhni sh lnjh bauni n 5 (sb lny gîs kh umn rhstrbjjbúm sh j`msbkhrn um rnma`). Unrtbjb`mhs (f)? Kbvbsb`mhs khi bmthrvni` kh 5 ni vni`r kh in npr`xbgnjbúm bmbjbni (khphmkh khi pns` j`m hi quh sh khshh trncnonr).

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Unrîghtr`s ( bo)? Tni`r kh in f-âsbgn pnrtbjbúm, s`crh hi juni sh hvniunrîm in dumjbúm `cohtbv` y in b-âsbgn rhstrbjjbúm pnrn j`mstrubr in tncin quh phrgbth lniinr d(t) y ab(t). Shst Sh strb rbjj jjbú búm m kh J`gp J`gpih ihgh ghmt mtnr nrbh bhkn knk? k? Hs umn rh rhst strb rbjj jjbú búm m hs hsph phjb jbni ni kh jn jnrî rîjt jthr  hr  `cibant`rb` quh sh narhan hm hi g`ghmt` hm quh sh `ctbhmh hi muhv` pr`cihgn hqubvnihmth ibmhnibznk`.

 

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Tnrbncihs Tnrbnc ihs kh l`iaur l`iaurn? n? Zh narhan narhan umn vnrbnc vnrbncih ih kh l`iaur l`iaurnn pnrn pnrn jnkn jnkn rhstrb rhstrbjjb jjbúm úm  pr`jurnmk` in j`mshjujbúm kh in bkhmtbknk (mhjhsnrbn pnrn j`mstrubr hi tncihr` kh sbgpihx kh nkynjhmjbn bmbjbni). Jrbthrb` Jrbt hrb` kh Nkynjhmjbn? Nkynjhmjbn? Hs mhjhsnrb` mhjhsnrb` pnrn hi sbgpihx g`kbdbjnk` g`kbdbjnk` khi nia`rbtg` nia`rbtg` kh  cnsh rhstrbmabkn, hi juni bmkbjn ins vnrbncihs quh khchm hmtrnr y snibr kh in cnsh hm jnkn umn kh ins bthrnjb`mhs, s`i` sb sh hmjuhmtrnm nkynjhmths hm in kbsp`sbjbúm bmbjbni kh in tncin.

HMXMJBNK@ Gnxbgbznr _ 7 \ > + ; \ 3 Zuoht` n? 3 3 \ > + 4 \ 3 ≫ > >

3

 \ > , \ 3 ≨ 5

Z@IXJBÚM UNZ@Z

US@JHKBGBHM[@ 3

d > ( \ >)7 \ > 6 d 3 ( \ 3)7 ; \ 3

Uns` 5? Zhpnrnr ins dumjb`mhs.

3

a>> ( \ >)7 3 \ > 6 a>3 ( \ 3 )74 \ 3

+

3 \ > 4 \ 3

3

7>>

3 3

4 \ 

umn Uns` >? Lniinr npr`xbgnjbúm bmbjbni pnrn  \ 3

7 >>

3

 \ 3 7>> / 4

quh hs in vnrbncih m` ibmhni.

 \ 3 7>.:8

Uns` 3? Hmj`mtrnr d   ((t ) y a (t )

f 

 

t 3 f 

 

d 3 ( t 3 f )   d >3( t 3 f )

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d 3 ( \ 3 )75 t 3> 3> + ; t 33 33 + >4 t 3: 3: a3 ( \ 3)75 t 3> 3> + 4 t 33 33 + 3; t 3: ↞ _ 75 t 3> + ; t 33 + >4 t 3:+ \ > Zuoht` n?

Uns` :? Zh rhpinmthn hi

+

+ 3; t  + 3 \  + Z 7>>

5 t 3> 4 t 33

 pr`cihgn.

3:

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t 3>  L`iaurn n j`gpihghmtnrç j`gpihghmtnrçn n) 3>+ t 33+ t 3: 3: 7 > ( L`iaur t 3> , t 33 , t 3: , \ > ≨ 5

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Uns` ;? Z`iujb`mnr hi sbsthgn pinmthnk` hm hi pns` : utbibznmk` hi Gât`k` Zbgpihx thmbhmk` hm juhmtn ins nkynjhmjbns hmtrh ins vnrbncihs.

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5

5

\ >   t 33   t 3:   s>   t 3>

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j  o∓ z o

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Hm in prbghrn bthrnjbúm hi jnmkbknt` n hmtrnr hs t 3: y n snibr s>, phr` m` sh puhkh yn quh t 3: m` hs nkynjhmth n t 3>, nsç quh in vnrbncih quh hmtrn hs t 33 y snih t 3> .

j  o

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Unrn in shaumkn bthrnjbúm hi jnmkbknt` n hmtrnr hs t 3: y n snibr hs s>, j`g` t 3: hs nkynjhmth n t 3:, puhkh snibr s>.

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t 33

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Hmt`mjhs in s`iujbúm pnrn hsth pr`cihgn hs?

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_ 7 6 \ > 75 6 t 3> 75 6 t 33 7

Uns` 8? Khkujbr in s`iujbúm

 \ 3 75 t 3> + > t 33+ 3 t 3:

khi pr`cihgn `rbabmni.

 \ 3 7

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Unrn _? _ 7 \ > + ; \ 3

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J@MJIXZBÚM Hm hsth nia`rbtg` in ibmhnibznjbúm khi pr`cihgn, hs bkhni p`rquh phrgbth utbibznr gât`k`s kh  pr`arngnjbúm ibmhni (hm hsth jns` j`mjrht`, hi gât`k` sbgpihx j`m jrbthrb` kh nkynjhmjbn) i`s junihs tbhmhm um rbaur`s` trncno` kh bmvhstbanjbúm, dnjbibtnmk` in rhs`iujbúm dbmni. Jnch rhsnitnr in dnjbibknk y utbibknk khi gât`k` kh Cnsh Shstrbmabkn, hi juni hm shmjbii`s y j`rt`s  pns`s hmtrhan in s`iujbúm dnjtbcih khi pr`cihgn y rhsnitnr quh hi nmîibsbs prhvb` rhsuitn rhsuitn hm um  cuhm pumt` kh pnrtbkn pnrn rhnibznr umn npr`xbgnjbúm n in s`iujbúm, y p`sthrb`rghmth j`gpnrnrin j`m hi rhsuitnk` `cthmbk`.