Laboratorio 3 Op I

 

TEMYDPQMBNB BD QNE ANPLFQ BD JTNRDKNLN INATLRNB BD AMDEAMNQ DAFEÑKMANQ DQATDLN BD NBKMEMQRPNAMÑE BD DK_PDQNQ  ÎPDN BD NBKMEMQRPNAMÑE BD F_DPNAMFEDQ ATPQF3 NBKMEMRPNAMÑE BD F_DPNAMFEDQ M LN@FPNRFPMF Ef. 1 _PFJPNKNAMÑE BD _PF]DARFQ Dcdramamf Ef. > Dl dstubmnetd Nknbdf bdl Amb, sd deaudetrn de ln insd bd prdpnrnr su tdsms bd jrnbf, prdvmf n afeidrërsdld dl tëtulf qud ld nardbmtd afkf lmadeamnbf de Nbkmemstrnbfr bd Dkprdsns, memamnlkdetd bd`d dln`frnr su plne bd mevdstmjnamñe qud ld smrvn bd juën pnrn dln`frnr su tdsms. tdsms. De tnl vmrtub, dln`frñ uen sdrmd bd natmvmbnbds qud sd bdtnllne n afetmeunamñe3  N. @. A. B. D. I. J. H. M. C.

Pdafldaamñe bd meifrknamñe Dln`frnamñe bdl plne bd mevdstmjnamñe Nprf`namñe bdl plne bd mevdstmjnamñe Dln`frnamñe y nplmanamñe bd deaudstns Ymsmtns n ln uembnb bd neîlmsms Ynamnbf bd ln `fldtn bd deaudstn Neîlmsms d metdrprdtnamñe bd lfs rdsultnbfs Dln`frnamñe bd meifrkd meifrkd prdlmkmenr prdlmkmenr bd tdsms _rdsdetnamñe bdl meifrkd pnrn rdvmsmñe y nprf`namñe pfr nsdsfr _rdsdetnamñe bdl meifrkd imenl n ln Dsaudln bd Nbkmemstrnamñe

>. Dl prfydatf bd dln`frnamñe bd tdsms sd memamn afe lns natmvmbnbds N y @, afe uen burnamñe bd 0 y 1 sdknens rdspdatmvnkdetd 0. Ln natmvmbnb A, afe uen burnamñe bd 1 sdknens, ds suadsfrn bd N y @ 1. Ln afealusmñe bd A pdrkmtd qud memamde lns natmvmbnbds natmvmbnbds B y D, qud burne 4 y 2 sdknens de su frbde 2. Ln natmvmbnb B ne netdadbd tdadbd n lns natmvmbnbds natmvmbnbds I, J y H, afe uen burnamñe bd >, 0 y 9 sdknens de su frbde 4. _nrn memamnr ln natmvmbnb M, afe uen sdknen bd burnamñe ds edadsnrmf qud afealuyn H 9. Imenlmzn dl prfydatf afe ln natmvmbnb C, qud burn burn > sdknen sdknen y ds ds suadsfrn bd ln natmvmbnb M Bdspuís bd dln`frnbn ln prfjrnknamñe bdl prfydatf bd dln`frnamñe bd tdsms, sd nprf`ñ y sd prfadbmñ n ln pudstn de knrahn, sme dk`nrjf, dl nsdsfr bdl dstubmnetd Nknbdf bdl Amb, 1 kdsds kîs tnrbd, rdnlmzñ uen supdrvmsmñe pnrn vdrmimanr sm lns natmvmbnbds sd dstn`ne bdsnrrfllnebf de tmdkpf, deafetrnebf qud qu d hn`ën ue rdtrnsf bd 0 sdknens, rnzfed su rdspudstn. Dcdramamf Ef. 0 Afe dl prfpñsmtf bd ntdebdr kdcfr n lfs hn`mtnetds bd ln rdjmñe efrfrmdetd, dl Hfspmtnl Lfs Îlnkfs hn bdambmbf afestrumr ue eudvf hfspmtnl y afesdjumr qud sus fpdrnamfeds sdne dimamdetds, pnrn qud lfs l fs pnamdetds bd bmahn rdjmñe ef tdejne qud vmncnr n ln amubnb de `usan bd sdrvmamfs sdrvmamfs kíbmafs. Qd hne mbdetmimanbf >1 natmvmbnbds pnrn dl prfydatf. Ld hne afetrntnbf n ustdb, afkf dxpdrtf de plnemimanamñe, prfjrnknamñe y afetrfl bd prfydatfs pnrn qud qud lds mebmqud ¶Auîetf tmdkpf sd lldvn dl prfydatf6 prfydatf6 Rnk`míe pnrn qud plnetdd sus rdafkdebnamfeds n dida didatf tf dvmtnr rdtrnsfs f bdkfrns.  N3 Qdldaamfenr ln lfanlmbnb de pnrtmaulnr @3 Qdldaamfenr dl pdrsfenl nbkmemstrntmvf y kíbmaf A3 Qdldaamfenr dl dqumpf B3 _rdpnrnr lfs plnefs D3 Ydrmimanr lfs sdrvmamfs pó`lmafs I3 Detrdvmstnr sflmamtnetds J3 Afkprnr dqumpf H3 Afestrumr dl hfspmtnl M3 Bdsnrrfllnr ue smstdkn bd meifrknamñe C3 Dstn`ldadr dl afstf bdl sdrvmamf G3 Mestnlnr dl dqumpf L3 Anpnamtnr n pdrsfenl >. 0. 1. 2. 4. 9. :. 8. =.

Dl prfydatf memamn afe ln natmvmbnb N, ln aunl tmded uen burnamñe bd 9 sdknens. Ln natmvmbnb N netdadbd n lns natmvmbnbds natmvmbnbds @, A y B afe 9, 8 y 2 sdknens bd burnamñe Afealumbn ln natmvmbnb @ sd prfadbd n memamnr D afe 1 sdknens bd burnamñe burnamñe I y J afe 4 y 2 sdknens bd burnamñe, sfe su`sdaudetds bd ln natmvmbnb A Ln natmvmbnb H afe 8 sdknens bd burnamñe, dstî prdadbmbn pfr lns natmvmbnbds D y I _nrn memamnr ln natmvmbnb natmvmbnb M, afe 4 sdknens bd burnamñe, ds edadsnrmf qud afealuyne lns natmvmbnbds B y J Ln natmvmbnb C, afe 4 sdknens bd burnamñe, ds su`sdaudetd bd H Ln natmvmbnb M, prdadbd n G afe 0 sdknens bd burnamñe Dl prfydatf imenlmzn afe ln natmvmbnb L, L, auyn burnamñe ds bd 1 sdknens, y ld netdadbde lns natmvmbnbds C y G

Afe ln meifrknamñe qud sd ld prfpframfen, sd ld sflmamtn dln`frnr3 n. `. a. b. d.

Lmstn bd natmvmbnbds Rn`ln bd prdadbdeamn Kntrmz bd sdaudeamn Bmnjrnkn bd ildahns Anbdens bd natmvmbnbds

 

i. Bdtdrkmenr ln rutn arëtman arëtman de dl bmnjrnkn bd ildahns y de lns anbdens bd natmvmbnbds j. Bdtdrkmenr ln hfljurn tftnl y lm`rd h. Pdnlmznr dl neîlmsms rdspdatmvf y prdsde prdsdetnr tnr sus rdafkdebnamfeds bd naudrbf n lfs rdsultnbfs f`tdembfs n lfs dcdautmvfs bdl Hfspmtnl Lfs Îlnkfs. Dcdramamf Ef. 1 _nenbdrëns Dl Nknedadr, sd deaudetrn deaudetrn de uen insd bd dxpnesmñe, pfr ln bdknebn qud tmded su prfbuatf. _nrn pfbdr ntdebdr n lfs almdetds y knetdedr surtmbn ln pnenbdrën burnetd tfbf dl bën, dstîe pdesnebf afestrumr ue eudvf hfref qud lds pdrkmtn uen knyfr prfbuaamñe, sme meaurrmr de bdkfrns pnrn ln detrdjn. Lns natmvmbnbds pnrn ln afestruaamñe bdl eudvf hfref sfe3  N. @. A. B. D. I. J. H. M. C.

Afetrntnr pdrsfenl Kdbmr dl dspnamf Afkprn bd kntdrmnlds Afrtnr knbdrn n ln kdbmbn Detn`lnbf pnrn iuebmamñe Iuebmr Dspdrnr qud sdqud iuebmamñe Nlmsnbf f rdpdllnbf Mestnlnamñe bd pudrtn Mestnlnamñe dlíatrman

Qd tmded ln smjumdetd meifrknamñe3 >. 0. 1. 2. 4. 9. :.

Dl prfydatf memamn afe lns natmvmbnbds N, @ y A, qud burne >, 4 y 1 bëns rdspdatmvnkdetd Lns natmvmbnbds N y @ bne frmjde n B afe 0 bëns bd burnamñe Ln natmvmbnb D, afe 1 bëns bd burnamñe, ds su`sdaudetd bd B A ds ln netdads netdadsfrn frn bd lns natmvmbnbds natmvmbnbds I y J, qud sd rdnlmzne de 0 y 8 bëns de su frbde D y I sfe prdbdadsfrns prdbdadsfrns bd ln natmvmbnb H qud qud sd rdnlmzn rdnlmzn de 0 bëns _nrn memamnr ln natmvmbnb M afe burnamñe bd > bën, bën, bd`d dstnr afealuyn J Afe ln natmvmbnb C, qud tmded 0 bëns bd burnamñe, afealuyd dl prfydatf, y ds su`sdaudetd bd lns natmvmbnbds H d M

Dl sdþfr Knrtëe Ydln, Jdrdetd Jdedrnl bd ln _nenbdrën Dl Nknedadr, bdambd afetrntnrlf n ustdb, pnrn qud pfr kdbmf bdl Kítfbf bd ln Putn Arëtman (Armtmanl _nth Kdthfb) ld mebmqud dl tmdkpf qud tfknrî ln afestruaamñe bdl eudvf hfref, pnrn lf aunl, ld sflmamtn qud bdtdrkmed3 n. `. a. b. d. i. j. h.

Lmstn bd natmvmbnbds Rn`ln bd sdaudeamn Kntrmz bd sdaudeamn Bmnjrnkn bd ildahns Anbdens bd natmvmbnbds Bdtdrkmenr ln rutn rutn arëtman arëtman dl bmnjrnkn bd ildahns y de lns anbdens bd natmvmbnbds natmvmbnbds Bdtdrkmenr lns hfljurns tftnl y lm`rd Nenlmznr lfs rdsultnbfs f`tdembfs y prdsdetnr prdsdetnr sus rdafkdebnamfeds nl Qr Ydln, bd naudrbf n sus afefamkmdetfs de  Nbkmemstrnamñe bd _rfydatfs

Dcdramamf Ef. 2 Dl sdþfr Idlmx Nlbnen, hn pdesnbf bdbmanrsd n ln armnezn bd adrbfs, sme dk`nrjf, pnrn pfbdr dstnr nvnlnbf pfr ln Nsfamnamñe _framen bd Juntdknln (N_FJTN), (N_FJTN), bd`d afestrumr uen pdqudþn jrnecn qud aukpln afe lfs rdqumsmtfs këemkfs. Dl sdþfr  Nlbnen bdsdn qud sd rdnlmad n kîs tnrbnr tnrbnr n pnrtmr bdl >4 bd knyf y imenlmad dl ?2 bd cuemf bdl pr prdsdetd dsdetd nþf. Tstdb, afkf nenlmstn bd prfydatfs, bd`drî rdnlmznr dl dstubmf pfr kdbmf bd ln Ríaeman bd Dvnlunamñe y Pdvmsmñe bd _rfydatfs (_DPR) d mebmanrld nl sdþfr Nlbnen ln prf`n`mlmbnb bd tdedr ln jrnecn afestrumbn de dl tmdkpf dstmknbf. Lns natmvmbnbds y sus tmdkpfs rdspdatmvfs de bëns sfe lfs smjumdetds3  N. @. A. B. D. I. J. H. M. C.

Kdbmr dl tdrrdef Nplnenr dl tdrrdef Snecdnr pnrn amkmdetfs Afkprn bd kntdrmnlds Iuebmr lfs amkmdetfs Ldvnetnr pnrdbds Bmvmsmfeds pnrn afahmqudrns Bmvmsmfeds pnrn pnrmbdrns Bmvmsmfeds pnrn auens Aflfanr tdahf

G. Aflfanr tfrtn bd adkdetf >. Dl prfydatf sd memamn afe lns natmvmbnbds natmvmbnbds N y @ 0. Ln natmvmbnb N, ds prdadbdetd bd lns natmvmbnbds A y B 1. Ln natmvmbnb @, netdadbd n ln natmvmbnb D 2. Ln natmvmbnb I, ds afesdaudetd bd A 4. Afealumbns lns natmvmbnbds B y D, bne memamf lns natmvmbnbds J y H

 

9. _nrn memamnr ln natmvmbnb M, bd`d afealumrsd I y J :. Ln natmvmbnb C, ds suadsfrn bd H 8. Dl prfydatf imenlmzn afe ln natmvmbnb G, qud tmded afkf prdadbdetds n lns natmvmbnbds M y C  Natmvmbnb  N @ A B D I J H M

Rf > 0 0 > 0 4 > > >

Re 0 2 2 1 1 9 0 0 0

Rp 1 4 4 4 2 8 1 1 1

C G

0

1

4 2

Afe ln meifrknamñe netdrmfr sd ld sflmamtn3 n. `. a. b. d. i. j.

Dln`frnr ln lmstn bd natmvmbnbds, tn`ln bd prdadbdeamn y kntrmz bd sdaudeamn Dln`frnr dl bmnjrnkn bd ildahns Bdtdrkmenr lns anbdens bd natmvmbnbds Bdtdrkmenr ln rutn rutn arëtman arëtman de bmnjrnkn y anbden bd natmvmbnbds Bdtdrkmenr lns hfljurns tftnl y lm`rd Dstn`ldadr ln prf`n`mlmbnb prf`n`mlmbnb bd aukplmr afe dl prfydatf prfydatf de de dl tmdkpf dstmknbf Pdnlmznr dl neîlmsms rdspdatmvf y prdsdetnr lns rdafkdebnamfeds pdrtmedetds pdrtmedetds bd naudrbf n lfs rdsultnbfs f`tdembfs.

Dcdramamf Ef. 4 Ln Bmvmsmñe bd Dbuanamñe Dspdamnl, bdl Kmemstdrmf bd Dbuanamñe, pnrn ifrtnldadr dl _rfjrnkn bd Mesdramñe d Mealusmñe Qfamnl, tmded prfydatnbf ln afestruaamñe bd dsaudlns de dl îrdn rurnl7 pfr lf qud sd dstn afevfanebf n uen Lmamtnamñe _ó`lman pnrn ln nbcubmanamñe bdl prfydatf. Qd qumdrd qud dl prfydatf sdn detrdjnbf, afe ue kîxmkf bd ttmdkpf mdkpf bd 2 nþfs afe > kds. Tstdb, afkf nenlmstn bd prfydatfs bd mevdrsmñe, bd`drî rdnlmznr ln prfjrnknamñe, utmlmznebf dl kítfbf _DPR, afe ln smjumdetd meifrknamñe bd lns natmvmbnbds qud bd`de bdsnrrfllnrsd, de lfs tmdkpfs qud sd afesmjene de anbn uen bd dllns. Dl frbde bd lfs tmdkpfs afrrdspfebd n3 tmdkpf fptmkmstn, tmdkpf efrknl y tmdkpf pdsmkmstn. >. 0. 1. 2. 4. 9. :. 8. =. >?. >>.

Ln natmvmbnb N N,, bn memamf nl prfydatf afe tmdkpfs bd 4, : y 8 kdsds rdspdatmvnkdetd. rdspdatmvnkdetd. Ln natmvmbnb N ds prdadbdetd bd lns natmvmbnbds @ afe 4, 4, 9 y = kdsds y A afe :, = y >? kdsds de su frbde. _nrn memamnr lns nat natmvmbnbds mvmbnbds B afe 1, 9 y 8 kdsds y D afe :, 8 y >> kdsds ds edadsnrmf edadsnrmf afealumr ln natmvmbnb @ Ln natmvmbnb I afe >, 2 y 4 kdsds bd bd burnamñe ds afesdaudetd bd A Afe 4, 9 = kdsds, ln natmvmbnb J ds suadsfrn bd B Ln afealusmñe bd D, bn frmjde n ln natmvmbnb H, afe burnamñe bd 0, 4 y 8 kdsds Ln natmvmbnb M tmded frmjde de ln ln afealusmñe bd I y burn 1, 9 y : kdsds Ln natmvmbnb C afe 2, 9 y = kdsds ds afesdaudetd bd J G tmded p prdadbdetd rdadbdetd n lns natmvmbnbds H d M afe 2, : y >? kdsds bd burnamñe Afe ln afealusmñe bd C y G sd bn memamf n L auyn au yn burnamñe sd dstmkn de 4, 8 y >> kdsds Dl prfydatf imenlmzn afe ln natmvmbnb K qud tmded burnamñe bd 0, 2 y 4 kdsds, tdemdebf afkf netdadbdetd n ln natmvmbnb L

Afe `nsd n ln meifrknamñe prdadbdetd, dln`frd3  

Rn`ln bd prdadbdeamn, kntrmz bd sdaudeamns, bmnjrnkn bd ildahns   ildahnss y de lns anbdens bd natmvmbnbds ln Putn Arëtman  Anbdens bd natmvmbnbds, ef flvmbd sdþnlnr de dl bmnjrnkn bd ildahn prfydatf de dl tmdkpf dstmknbf, hnamdebf dl neîlmsms qud afrrdspfebn pnrn   Dstn`ldzan ln prf`n`mlmbnb bd aukplmr afe dl prfydatf pfbdr tfknr uen bdamsmñe sm sd pnrtmampn de ln lmamtnamñe f ef.