WO2024119189A1 - Methods and devices on intra template matching prediction - Google Patents

Methods and devices on intra template matching prediction Download PDF

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Publication number
WO2024119189A1
WO2024119189A1 PCT/US2023/082373 US2023082373W WO2024119189A1 WO 2024119189 A1 WO2024119189 A1 WO 2024119189A1 US 2023082373 W US2023082373 W US 2023082373W WO 2024119189 A1 WO2024119189 A1 WO 2024119189A1
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oann
encoer
curren
eecoer
cam
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PCT/US2023/082373
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French (fr)
Inventor
Ning Yan
Xiaoyu XIU
Wei Chen
Hong-Jheng Jhu
Che-Wei Kuo
Changyue MA
Xianglin Wang
Bing Yu
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Beijing Dajia Internet Information Technology Co., Ltd.
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Publication of WO2024119189A1 publication Critical patent/WO2024119189A1/en

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  • veoeconcco.rnneo m aeros as aeecco oere mares oenansc ao csuurrreen,eermesaero ov ae cu arr meneoor un coe wnraemae macnrec con ecoer ma o on moe.urermore,e oanracona-aen arne ocemaneerreceemae.
  • veoecon aaraus mancue one or mo,eresrove an aarausoe one or morerocessors an co rerocessors an a memor coue mroer ceonrocuesresors.ure nureo sorensrucons execuae e one or a rmore,e one or morerocessors, uon execuon oensrucons, ccoorenrorom a sxe me ao accornoers orer asec.
  • e enxa an exemar ssemor encon an .s aocaramusran anm exeems oare vresenscosure.
  • w some exames oeresenscosu eo encoern accorance
  • eraramsusranow arames recursve exames oeresens en szes an saesn accorance w somenerace, accor.nso a somac ero eas xmure.
  • amuessr oane are csoemnusncos eunrve.ronmen coue w a user ornee.: . some exames. oeusrraeseesn asacorasm onra moes asenen n accorance w accorance w.
  • ose areoswen carusranes aen mesocosourre v.eoeconn accorance w e meoor. veos aecoown c aas srcosu sour wse. nrann a.
  • menoor veo encon corresonno resenscosur accorance w some exames oe some exames.e. os aow carusran a meoor veoeconn accorance w .se aresenscosure.
  • eneescoosmure aree onsco asuore.e “oarn,”e “suar,ose oescrn secc ormnescosure ane aene cams are asonene”o ann “e”n a snuar uness oer meanns are cearenoerououescosu cue auraorm, aerm “anor” usenescosure reerso ann re.s asooe unersoo comnaons o mue assocaeemsa arese.cues one or an or aosse “an e eerencerouous seccaono “one emomen,” “an emomen,” arcxuaamreea,”ur “es,o smruec eumre,o orm ceanrasc,”er “ssomcee esxcarmeess,”n ocru semanr
  • eo oer emomens uness exress sece nomencaurer oonuoour reescosure
  • veoananoe. e shimcues a sourceevce aeneraes an encoes eesnaoneveccoee a ma aaerme aesnaonevce.e sourceevce an cou servers, serve ncue an o a we vare o eecroncevces,ncun se-oox r comuers,eso orao comuers,ae comuers, smarones, conssoes,aeevsons, cameras,saevces,a meaaers, veoamn enaeso,n veo sreamnevce, oree.n some exames,e sourceevce ane ne svocmee ex aarme eeue w wreess communcaon caaes.
  • wc cane a ce mancueesaevce, communcanneraesaevce an an exernasaevceas conureo aao a useer, w an meaesnaonevce.esaevce saseecoe veo sa , aasmancsuae, a ann or aa vare osaevces suc as aursa e osaev nc mnoe sa, or anoer rorear oren vusec roe.
  • s enacnoaerrs suc an ase v,eoe,coer-, maar oerae accorno o suc sanars. soue unersooaeresen acao ,, or exensons veo enconecon sanar an mae acaeo oern vs neoomeo a secc sanars.senera conemaeae veo encoer oe sou enconecon e conureo encoe veoaa accorno an oese currerceevce ma mar,s asoenera conemaeae veoecoer on oruure sanars.
  • vare o suae encoer anorecoer crcur suc a emene as an anarocessors s, caoneccs one or more mcrorocessors, rorammaeaerras s,screeoc, sonwaerer,aearrcus s,e comnaonsereo.enmemenearan sowar ware,rmware or annsruconsore sowaren a suae, e, an eecroncevce ma sore execueensruconsna non-ransor comuer-reaae meum an enconecon rware usn one or morerocessorsoerorme veo ane ve oeraonsscoseneresenscosure.ac oe veo encoer wc oecoer maencuen one or more encoers orecoers, eer o evce
  • c aonmoenenssancueevcene m veoecoer asescreeow w new a oeraen a cou Indian servce ervocre waac, maaorromv ase a soewrvarcee,aaaorm, os,r annraosrruncrausreru acsu are,e sruvcce asaao.ware as amemenaons, one or more comonensne sourceevce anor n some wc are noncuene cou Indian servce newor maeereosvnaonevce more cenevces, ane one or more cenevces ma commun en one or comuersne cou Indian servce neworrou a wreess c cae w server or exame, a ceuar communcaon newor, a sor ommuncaon newor newor,
  • e mnoeron esmaon un eermnesenerrecon o a veooc wne curren veoan a moon vecor, wcncaesesacemen veorame, accorno are rame reaveo arecveoc wn a reerence esmaon,erorme eeermneaern wn a seuence o veorames.oon vecors, wc esmae mo moon esmaon un,serocess oeneran moon esacemen o a veonor veoocs.
  • reerenceoc o a reerencre veooc mae or ma corresono aoc or a coenerms oxeereenrcaem,easeeme as cose macne veoocoe ,um ouareerence wc, m ora oeereeremrene um osoueerence veo encoer ma cacuae vauesor s nce mercs.n some exames,e sorene .or exame,e veo enu-neerxeosons o reerencerames xeosons, one-e xeosonscoer maneroae vaues o one-uarer rame.ereore,e moon e , or oerraconaxeosons oe reerence uxeosons anraconsamaon un maerorm a moon searc reaveoe
  • vee sonraameor use e veoecoern snax eemensenne moon vecor use x eemens mancue,or exame,ncanerecon moe, or an oer snaxonoremnaoneerecveoc, anas moon esmaon un ane moon comensaon un msacreeeren.neoreae areusrae transformeor conc ae,u n some exames,eenurauroses.
  • e ocno c coamcuensaon un ma aso a one or moreneroaonersoerecve ea seum sum-neerxe vauesor usen moon esmaon.
  • aa,oeermneae cu ma use some oe receiver snax eemens, e.., consruconnormaon o wcrren veooc wasrece usnenra moe, an soue sorene v,eoococs oerame are wne reconsruce reon erame,nra recon sausor ea vecorsor eacnra rece veooc o oernormaonoecoee veooccsnnraerece veooc oerame, anneroaone meros aosn us ceomensae voneo un encoer ma curr aen urso v n eee nro coorrmame nn.
  • recveocore curren veosaoocn una orenra un eneraese e summer reconsrucs se one vecors an oer snax eemens, resuaocromenverecoe veoocore curren veooc summne ocenerae e seransormrocessn un an a corresonnrecve suc aseocn moer,on comeenrsaon un anenra un.nn-ooer e summer ane our,errocesseer aencor maeosoneeween en-ooer mae ome, aneecoe veooe veooc.n some exames, e summeroe .eecoe veoocsno acv meanraemer aercrove e , wc sores reerencerames useor suseu
  • sonoame.ace s aaresoca con un ane w ane oe are seuenc veo encoern a seuencearameer se, suca aesn a veo e noeeaaveeer seasmene a sconcen one o ⁇ , ⁇ , ⁇ , an ⁇ .u sou ., eac mancuaeo ons no necessarmeo aarcuar sze.s sownn ocs o croma sames, a ne ouma sames,wo corresonn conree ocs.e snax eemenn snax eemens useo coee sames oe conree xes anowe veo sesuescreroeres oerenes o uns o a coeoc o ornrarecon ence cane reconsruce a
  • ecs aua-reeaa eacea noe oeua-ree corresaornonnrocess oe asecen. xox.ee ecen., eaoc one ma o an rcesueec ave s oze rannrom anwo corresonn conocs o croma sames o arame oeuma sames snax eemens useo coee sames oe conocs.n mon same sze, an curesavnree dissolve or srucures useo coee sames oe conoc.
  • recveocsorcoer ma usenrarecon ornerreconoeneraee recveocs o a a
  • recveocsorcoer usesnrarecon ornerreconoeneraee recveocs o a a
  • vee veo encoer usesnrareconoeneraee ase onecoe sames oeora emncoer maeneraeerecveocs oenerreconoeneraeereceve assocae we.
  • veo encoer uses erecveocs oe ase oneoccose o s a,e veo encoer maenerae erame assoc ames o one or morerames oeran eraee v weo ee.
  • aronnoecomose aseusraen.,e veo encoer ma useua-ree , anrransormocuma,, anr resuaocs o ano one or moreuma, suareoc s resecve.ransormocs a recanuarsuare or non- aransorm ooc sa omues on wce sameransorms ae.
  • oc's.umae resruaransoocrm.eoc mraansorem a souc mae a su-oc oe's resua monocro -oc oe'sr resuaoc.nransormmeocc aunres s onraxc surruecsuarevsn usereoe sreanasraorem cooer samanese,s a oe maransncoue a sne e veo encoer ma a one or moreransormso aumaranrsmoroc.
  • ramerecon o a coeo n arecveocn a reerencerameurnner- ane veoecoerocr, co an sse o rues neeoe aoe oe veo encoer “meres”or a curren rucn a moon vecor canaesasonown as a saa neorn s an Economicsnoseoena canae moon vecors assocae w seecn one memerrome moeomora co-ocae s oe curren anen e curren.on so,ern vecor canaes as a moon vecorrecoror rome veo encoeroes no neeoransme moon vecor canaesse recor wne moon vee veoecoer an annex oe seece moon vecor veoecoero usee sacor can
  • vaerreonuse moereons a ocrcorroacnecsese wssuc var asou esnconecon meos orrocesses asescre envronmen canear o a exames oeresenscosure.
  • Chevroncues arocesso aarocessn server e.
  • Chevronmen erorcessor a memorca, a cnon arnosn ouveuu nerace .
  • ereranerace moues suc as aeoar, a c eenerocessor an uons mancueu are nomeo, aomeuonc, wee,uons, anee.e uon.enerace cane coue w an e a sar scanuon, an a so scan asa onene,ra ex,foundsacn servaerarecreonc sconemoeo anco s areeer a unneco rer exse aer nm.
  • erecon w we-anenra moes aovee c uses a se o reerence sames neorn a curren .e.,o caureunrreern ee orreecoonsere csuernrenn nauroar veeco seasmecesa ooer c vurreeon cone.nownever, ornee.: .
  • moes - oeso are convenona anuarnra moes
  • an moes,eo -ana arn m mooeemsoeon are w.e a-nanerencra muroreens.n a mooneome anuarnra o are a oen.
  • usans,eorn noen-suareocs,e we-anenra moes, wc are maeo xes oe convenona anuar aerenar nexes oe we-anenra moes e veoecoer moe,e msoee, auns ensur annuaar anoraa m noumese armo.en.,e on aran muoares.e.,eanar uncane, anenra moe con meos uncan nra moess snannra moess aceve w e.s a resu, aoo ecenc o szes.
  • a recon uma veooecs verrecacon orso arozoon aaenoor ourma sun-raarreocon moes, wcves ereo, as sownnae.or exame nseenn onoc szes an sowarams o su-a, a mnmumoc szeors ⁇ or ⁇ .. a veoocor exa ronseenn on aoc sze. aoc sze ⁇ o ene veoocsme,e veooc as sownn. s euao ⁇ or ⁇ , exame,e veno su-arons.
  • oc sze umer o su-arons s , ecnoano a,nrveersceonua sna.ere,e resua snasenerae rocesses suc as enro aron are avaaenozaeonner aanenverseransorm.e reconsruce sames o eac su- aronoerocessese one creoncanonn o a ao ne-xe su sam-are oon.en aon, ars su- su-aronsrocesse,e recon , an aerers sownn.
  • cacuaeenear moe coee aceonves sanmees an_e m soame
  • oens oee are useoeer are useo cacuaeenear mo aove sames oe sames oe are u e coecens anne_ moe, onee ocaons ose aoov cea scaumaees oe an cearro mmoaeo ccoe arecenenso.e as, ⁇ ...’ ⁇ ornee.: .
  • aown-samn oeraon aname oesa conreresoounr nnoe seeceocaons are oane ourmesonwoarer vaues: x an x aenwoorn smaumera v saamuees are comare roma same vaues corresonnoewoarer vaues anewo sms:a xer v aanue xs ar.
  • ounar saomure ssamreso or an e ⁇ r saemeass aarmeeesermne averane neorn neornounar samesro an ⁇ er oen areoc reu sczee aono sunaae.or exame, ,-.
  • erecroaon nsseneraerome reuce senearneroaonn samesnearneroaon wcs a sne orzonarec eacrecon.eneroaonserormersne nraemae maocn annreencnoe vercarecon rearess ooc sae oroc sze.
  • currenoc w anoerocn areene searc ar neor oe • : curr ean. conssn o: • :en • :o-e • : aove uem on e aacso rueeonerences s use as a cosuncon. resecoe cu ,eecoer searcesoreemaeaaseas w erremne onnseo anns u oses as c roerreosnsonnearcocan ase a_wr,eceaorcnaonce._ are se ornee.: .
  • anreenerorav,ee mo. anureaeurrems oroveere comressonnsscosure ar ove meos racona-eoemmroe av s eeumm maear creze nc a .osno e ancoceuwrs ea: rce omnarea mac,neeoccose craenncoer ma uze usnraconan eurer rene scemeo armerroovveero eea . ancocn su.
  • mes areroveo uzeracona-eemae macnornra meoa-ee,neuraroear-oen a anccu sroacorracona-eemae macn caneu no n one or anoer emom oenn.
  • ncae oerneroaon onenex vaue cane snaenesreamo , accurac use.eneroaon accuracnex cane snae a ses.nen s oc rne se oe sra e aner ,o.
  • receemaes are currenemae ane omaneer ane e a-e mnmumema cacuae an comare.ereceemae wceasoe corres e macn cossene an use ase omareceemae.e oe connreceoc oe omareceemaes use asenarecon u-urroenoc. mnmumenes mes a cn eurr mraeancn c,o osns uese oomrareemcaone.
  • mnaceoc wceasoeemae maceocs seecease on an some exames,e oona aemaeeano aemae ascenn orer oemae macn cos, an canaess seec macn cosoweranemae macn cos o oer recon accure ase omaemae maceoc.ourermrovee scosure.neac mu o-nraoess,nera mu-, mooreesasn orneecreonc moenoosc ar ceanrovaees arne ornee.: .
  • n o o anooc c e cea rrn e erma ooemeernv,aoenreconoc canaes are searce an canae n o mnmznemae macn cos,.e.,eo macns co ws canee m nonmmumeeomae msuamc on cos or coss are seece.eemae error.
  • asoueerence an sum o suare reene anxe ns m x eemu ao-mo oene,ss ee en wn coera er annacecoorsero senee.rase ane exanmaere, ecuaonoc are acors cane use,.e., or ae canae wen ave mu-oessn ocs. o aaoeverse carra oessnra meos aracerscs o veo conen, exames o aave mu- eo e asorove.
  • coss oe canaes as ⁇ 2 , meo so aune ⁇ ,, ... co , s ⁇ cane measure wu no eo .
  • n e a cur r r e en co o n c a o s c , . e e n noe e w e e em n ae a s c o ors c e an re e c er o v n e ca u n sn aes e a o s ⁇ o 2 w , ⁇ n 3 ,... e , ⁇ ⁇ u ⁇ 8 a a o n n: uaon cane s ⁇ oc cane cacuae 8 o aons.enenarecon eo as 5 2 ⁇ 5 , w ⁇ 5 -reconoc canae.
  • oessnra wcse onoca meanern an mu- canae scre asoow.ners se,reconoc se,e w s e are se n arc a e co a r n s ca en cua e e a a s s conucenenra oe .ne secon an oc ⁇ c ⁇ an w sae eere n o a r n ⁇ s m az e use ae o mo n co a n e s o an: e currenoc,s useee amsaee s orene- o wen o ca wen srencu saoeueee ,e sren o wen oroecee wen ermners.nsscosure, severa meos arerove wen snrene vr
  • o oereconoc canaes aneemae oe cuurerens esomca.ee unsoneeeeemmaaees sren er v e au c e o c n an ca e n so a ve es ⁇ 3 e ,..., ⁇ ⁇ 8 ane currenoc as.ene oown vaue an vnaraence oreemae oe currenoc,.e.,e reaons usenweenee ornee.: . wen sreeno vaue, vaue aneemae varance canee one.
  • oornnas-anecreceemaes mancuea-encuea-eemaes,uarer-ee e,eracona-ereceemaes maemaes.n some exames maes, oroa-eemaes anuarer-e oreracona- ,erocessor ma use aracona vaueeween an n somee exreceemaes, wereeracona vaues oeran or.
  • surrounne omaneerreceemaene an mara cconaemaes eemae macnne .n some exames,erocess onucracona- e a-ereceemaes.n some exames,erocesor maneroae r aconaemae macn asusraen., were ⁇ r sor ma conuce ⁇ 5,7 ⁇ ,5,7 ⁇ an ⁇ ⁇ 5 ⁇ reresenaxe.
  • eresensneerxe erocessonr s o 7 me m exaam comes,uoe c aonrsucseancreaceonwaee-ne a ceumrrenaee mmacaen annee om,neerreceemae, comue severa seconsanceseweene a eracona-ereceemaes, comareerssan currenemae an sances,en an omareceemaeeano ce ane severa secon an arece corresonnoe omarec a mnmumemae macn cos, asenare eemae, an seerece meoor v.cons.
  • aowcarusran a meoor veo encon corresonne neoecon as sownn..em e ,erocessor , ae se o an encoer, ma encoe a curren moe.aen s oom a curren con un coe wnraemae macnrecon un asee ex oanmnersa,er mocoeseso.rnra ma esn aco seec aa curnrernaermecaoen o m ao cuerrena c coones ornee.: .
  • aowcarusran a meoor veoecon accorno an neeresen,scosure.
  • con un erocessor ae se o aecoer, ma oan a curren secanrare ccoe wnraemae macnrecon moe.nra s a currenrame, woseon- msoaeeaem coaees m aaecsesre a ccurroenneomcaroem a reconsrucear o a e exanmees,ero,rmenroceessor ma mam oroavne a .
  • xaam coems,ueeura o ma oan aura oreconemae macn coss oeuerocessor canaes, an oaneura o wesase oneurara or oreconemae macn coss.n some exames,eura oemae m econ measure w one o sum o asoueerence or acn coss mae examesescrensarara,ero sum o suare error .ne one aave mu-oessnra.cessor oanseura o wesase ornee.: .
  • mu-oessnra wesasen s oonm ae exuarame os,nemeaes.n, somee erxoacmessoers,e ma oaneura o ura orecon emaes oeura orecornocesso cr ma oan a curren emae oe curren, an oaneura o anaes, oan a oreconemaes ane curren emae.n so wesase oneura ma oaneura o wesase oneur me exames,erocessor curren emae sovnener-o euaaon oreconemaes ane arara,erocessor oanseur s.ne examesescrens oessn a o wesase one aave mu- wes usnnr sa noomneo
  • aee ssre cn o wen,erocessor ma sren vaues, an seec aca we srenomrsn aura oca wen vauease on aa snaen asrea vaue as an oma wen sren ma receive an oma wen m.ernave or aona,erocessor sream.
  • sren vaueene an encoer an snaen a oan aunr some exames,oeermnee sren o wen,erocessor ma oan a currea orecon emaes oeura orecon canaes, oneuran oemae oe curren, an esmaee sren o wenase n somer eexamcoens,oeemeaes ane curren emae.
  • cur aren reaonesmaeew oeenne sren o wen,e vaue, ane varance oe ecomosnon some exa ome n ae.
  • a osorororvames, aor n eoxna-mranse,orn coem muer-reaae execuae erocessor ne c emor , a omun envronmen ,orerormne eoscvre-eesc are meos anor sorn asreamenerae e encon meo exame,eoveu orr asreamoeecoe eecon meoescre aove.n one envronmen ao re ocerorams mae execue erocessor ne schizophrenia aa sreamncun encvoeor exame,rome veo encoern.
  • essso arsorov ane ae c noomn-urannsevce comrsn one or more meum ore memor avn soreeren aur or comuer-reaae sorae one or morerocessors weree one or a ororams execuae e rorams, are conure morerocessors, uon execuon oeura o n an emomoene,roremrese a asoove-roevscree a m ceos.

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Abstract

Methods for video decoding and encoding, apparatuses and non-transitory computer-readable storage media thereof are provided. In one method for video decoding, a decoder may obtain a current template of a current coding unit (CU) coded with Intra template matching prediction (TMP) mode. Additionally, the decoder may obtain an optimal integer predicted template. Furthermore, the decoder may obtain fractional-pel predicted templates. Moreover, the decoder may obtain a final prediction for the current CU based on a distance between the current template and the optimal integer predicted template and the fractional-pel predicted templates.

Description

ornee.: .
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Figure imgf000003_0025
caoneo.resen a- ,,ca enones “aseeo uson an ane cvacmesroro..rovsona recon,”e onecemer, , s onnraemaeacn auroses. e enre o wcsncororae reerenceor u nomeeore,s meneoscso asnure as raeraauesoo vmeroov ceone c aonn com ercesesnocn, o annnraaermcuaaer macnrecon moe. eevsons,aoa o vreeos suore a vare o eecroncevces, suc as a evces,a measaoers, c vomeouerasm,nae con cosomuers,a cameras,a recorn evces, veo sreamnevces, ec.e eecroncese,v smcearones, veoeeconerencn communcaea veoaa across a communcaon newsorran,s amn an receve or oerwse aa on a soraeevce.ueo a or soreea veo anme m meanw caac oe communcaon newor e veoaae amccoorr rensouorc oense o oe soraeevce, veo con mae useo comress sore.or exame, veo conr m soraen vareso cnocun sanarseores communcae or xoraonesoe , -cenceeoersaeeoon ,on eoon .,ovncurexerrouon con.,vance conenera uzesrecon meose , oree.eo aae a ..,ner-recon,nra-recon, oree veoaanvaon aaoer om reau unseasn acowneerenne veoaa.eo con amso comress veoua. r rae, we avon or mnmzneraaonso con ecenecr oesennrascemosuareeroavcesn exames oecnues reanomrovne econrocess. recon meon a veo encon or ornee.: . veoeconcco.rnneo m aeros, as aeecco oere mares oenansc ao csuurrreen,eermesaero ov ae cu arr meneoor un coe wnraemae macnrec con ecoer ma o on moe.urermore,e oanracona-aen arne ocemaneerreceemae. ona,eecoer ma ore curren ase onemaes.oreover,eecoer ma oan anarecon receemae anera acosanceeweene currenemae ane omaneer or veo enccocornn.no ae se mceonn o aa ,s- aee nc e ore ncoece err mese aemna encse ocs eo.s aur ceu,rreeresrove a meo co ennco uner ma o coaen a wn on nemae o a curren e mraanemeearer meaccenemreace.onurermor me,oee. encoeorn maa, oreanracona-ereceemaes.urermore,e encoer ma oan ananeeconore curren ase on asanceeweene currenemae ane oma marransrmeceemae aneracona-ereceemaes.oreover,e encoer ccoer cunrreno ara ass coease onenra moeo aecoer. veoecon.ne meo, aeec oeresenscosure,eresrove a meoor on annraemae macnreccooner ma o man a curren con un coease ura orecon canaes.urermoreo,e.eecona,eecoer ma oan a ore curren ase oneura orecon coaner maaes. oan anarecon or veo eccorno aour asec oeresenscosure,eresrove a meo on annrancon.ne meo, an encoer ma encoe a curren con un ase ura oemrecaeo mnac cnanreacon moe. ona,e encoer ma oan a ore curren ase onees.urermore,e encoer ma oan anarecon maransme curren asura orecon canaes.oreover,e encoer ccorno a ase cco oeeaseres oennescnorsaure moeo aecoer. or veoecon.e aaraus mancue one or mo,eresrove an aarausoe one or morerocessors an co rerocessors an a memor coue mroer ceonrocuesresors.ure nureo sorensrucons execuae e one or a rmore,e one or morerocessors, uon execuon oensrucons, ccoorenrorom a sxe me ao accornoers orer asec. or veo encon.e a sec oeresenscosure,eresrove an aarausoe one or morerocessoarrsa auns m caonncuuree oone s oorre monrserurcocoenssso ersxe acnua a meemore co ounee or ornee.: . m aroer ceonrocuesresorso.urermore,e one or morerocessors, uon execuon oensrucons, ccorenrorom a se meo accornoe secon oreour asec.ranso even asec oeresenscosure,eresrove a non- a, wren c eoxmecuueer-rea oanee or so mroaree c momeuumerorroc seosrsn comuer-execuaensrucons rocessorsoerorme ors, causee one or more comuer ccorno a mne eo ac acsorecn ooeererssen orer asec. ransor comuer-reaae so scosure,eresrove a non- a, wen e rae meumor sorn comuer-execuaensrucons rocessorsoxeecruoerme on mee oro mo acreco cromnuoerero sceecsosors, causee one or more comuer ccorno a nn asec oeresenn oscroseuroeu,re asec. ransor comuer-reaae sorae meumor resrove a non- meo accor sorn asreamoeecoe e ccnoers orer asec. ran orno aen asec oeresenscosure,eresrove a non- accosronr coomeu seecr-ornea oaree sooruare a mseecu.mor sorn asreamenerae e meo renere re meorreencarcuarescron oe exames oeresenscosure we eserawns eo secc examesusraene aenerawns.vena sc ec on some exames an are noereore consereoemnn rooue,ee e uxsaemes weescre an exane w aona secc aneas econ veo. o ocse s a acco n aom ccan coraan ncreamraw w sun osmrsa. e enxa an exemar ssemor encon an .s aocaramusran anm exeems oare vresenscosure. w some exames oeresenscosu eo encoern accorance w some exam.ess o aoecresaenramusrrea.n an exemar veoecoern accorance aroneno m.uero vueoo acresco s ooscure. eraramsusranow arames recursve exames oeresens en szes an saesn accorance w somenerace, accor.nso a somac ero eas xmure. amuessr oane are csoemnusncos eunrve.ronmen coue w a user ornee.: . some exames. oeusrraeseesn asacorasm onra moes asenen n accorance w accorance w. someus exraamese as oaru earme re ose mue reerencenesornrareconnnrarecon.om annaonusraen aaroanm-rs osc roesuerreence samesoroson-eenen moe resecven acc aona moe an aoom-eaona . usorance w some exames oeresenscosure w some exames oreaers aaram o su-aronsorx an×sn accorance . usraeesenscosure ×sn acc s aaram o su-aronsors oeran×,× an .oranuce w some exames oeresenscosure n aross-omonensraneesar aaoream oocaornes oceon ann a accoove sames o anvove oeresen rance w some exames corance w.scosuurse n ac raes aaram o aarx weenrarecon rocess accorance w. som some eue xs e arx maaemses aes o oaeraemr rese oesen nnsrcasceomsurae.e macn searc area usenn accorance w. soumsera exeasm aeas oram oera-eonseurreoaon anemae macn searc some exames. ose areoswen carusranes aen mesocosourre v.eoeconn accorance w e meoor. veos aecoown c aas srcosu sour wse. nrann a. menoor veo encon corresonno resenscosur accorance w some exames oe some exames.e. os aow carusran a meoor veoeconn accorance w .se aresenscosure. e meoor veoecoown c aasr souwsnrann a. meno accoorr vanecoe w encon corresonno resenscosure. some exames oe eerence w nowe maeneao secc exames, exames o wc are ornee.: . musrnae sencec acceoamsa anren seraowrnns. onrereoo aoswssnne uaneersaenscrnone, n sumerous non- reseneeren.u varous aernaves mae use wouearnruec maer cams ane suec maer maeracce wouese secceas.omor ee scoe o suec maerreseneeren canememene on manes o eecronxamee a veo cevces w emomense cra amnsa u nsoees nn. eneescoosmure aree onsco asuore.e “oarn,”e “suar,ose oescrn secc ormnescosure ane aene cams are asonene”o ann “e”n a snuar uness oer meanns are cearenoerououescosu cue auraorm, aerm “anor” usenescosure reerso ann re.s asooe unersoo comnaons o mue assocaeemsa arese.cues one or an or aosse “an e eerencerouous seccaono “one emomen,” “an emomen,” arcxuaamreea,”ur “es,o smruec eumre,o orm ceanrasc,”er “ssomcee esxcarmeess,”n ocru semanr aanuae meansa a or exame.eaures, srucures, eemens, or ca eas one emomen or some emomens are aso aca racerscsescren connecon w one oerwse. eo oer emomens, uness exress sece nomencaurer oonuoour reescosure, “rs,” “secon,” “r,” ec. are a use as ses, ec., woumernenc aenso s reaevaan or e cemroennoso, e.ca., oervecress,, c uonmesson eexnrse,s csom sosons, oerwse.or exame, a “rsevce” an a “seconevce” ma reer ece ormeevces, orwoars, comonens, or oeraona sa owo searae name arrar es o a sameevce, an mae crcur,” “une,”e. ormr “ss “moue,” “su-moue,” “crcu,” “su-crcu,” “crcur,” “su- coe ornsruc u-un” mancue memorsare,ecae, orroua sores one o onsa cane execue one or morerocessors. moue mancuencure m oonree o cr mrcoures c womo onre wnsoua a sroerere ccoe o orrnnsrreuccon cso.nnecee m.oueese or co cmrcu ma ma or ma noesca aaceo, onens s u orocae aaceno, one anoer. reso seeren,eerm “” or “wen” mae unersooo mean “uon” or “n e renesevaon”emeanonns o onreea cuornesex ar.e coenseeornmas, or a oeoanran. a cora emxa,m mae, no a mnecoae maa ornee.: . com wresne o sres co on: wonen osrre csoenn,uonncons orre asecno,nun’csone orro arcmeon.’es merorme, anmemene woe caa oerormn eo mae oeror uncon or acon’, ane caa erenmmnes,uncon or acon’.us,euncons’ an’ maoeerorme, a a comna un on on o m oru maorue wae ex r me e aacuo n sens om o waereme .e mne neo auu. rere sowa sroewmaree,meure arware, or e un or moue mancueuncona reae coeocs or sonaon,or exame, arerec ornrecneoeer, so asoerorm aarcuaware comonens,a .s aocaramusran an e runcon. econ ve xemar ssemor encon an s sowoocsnaraen accorance w some exames oeresenscosure. veoananoe.,e ssemncues a sourceevce aeneraes an encoes eesnaoneveccoee a ma aaerme aesnaonevce.e sourceevce an cou servers, serve ncue an o a we vare o eecroncevces,ncun se-oox r comuers,eso orao comuers,ae comuers, smarones, conssoes,aeevsons, cameras,saevces,a meaaers, veoamn enaeso,n veo sreamnevce, oree.n some exames,e sourceevce ane ne svocmee ex aarme eeue w wreess communcaon caaes. eecoe va an.s,eenesna maonnecvce ma recevee encoe veoaao evce caae o movne encoe veoaaureo ane o communcaon meum or evce.n one exame,en mancuem a coem smouurceevceoeesnaon sourceevceoransme encoe veoaareconecaeon meumo enaee me.e encoe veoaa mae mouae accorno a commsunnaonevcen rea as a wreess communcaonrooco, anransmeoe caon sanar, suc communcaon meum mancue an wreess or wre commesnaonevce.e aoreuenc secrum or one or more scauncraanon meum, suc as a communcaon meum maormar o aace-ase newor, susmssonnes.e a we-area newor, or aoa newor suc asen c as aoca area newor, mancue rouers, swces,ase saons, o erne.e communcaon meum acae communcaonrome sourceevcer an oer eumena mae useuoneraceno so am seor oaeer eexvacmees.,ues eencuoene v,eo eo encae oa mes eana veon eoraanesamvce ne. e sroomra an ouu mae accesse eesnaonevce va annunerace.e soraeeeevvccee ornee.: . ar marvnec,uue-r aan osc as, varea oerssareues osrocas a,ccoemsseacaas scoreaae- mnea suemco arse a - s,as memor, voae or non-v s sor oae memor, or an oer suae a maae meaor sorne encoe veoaa.n aurer exame,e soraeevce en corresono ae server or anoernermeae soraeevcea maoe eco se veoaaenerae e sourceevce.eesnaonevce ma access more veoaarome soraeevce va sreamn orownoan.ee server enacoee a vnee o comuer caae o sorne encoe veoaa anransmne e..,ooaaoeesnaonevce.xemare serversncue a we server evces,r o ar w aese, aeranserrooco server,eworaceorae rou an soacnaasrve.eesnaonevce ma accesse encoe veoaa - connecoraa connecon,ncun a wreess cannee.., areesse ec., or a comnn, a wre connecone.., auscrerne , cae moem, server.eraon ooas suaeor accessn encoe veoaa sore on ae sreamnranasnsmsson oe encoe veoaarome soraeevce mae a s smoswsnon,n aow.no,aer saonusmrsson, or a comnaon oo. encoer ane ouunerace.cee vevcencues a veo source, a veo veo caurnevce, e.., a ve eo source mancue a source suc as a veo, a veoeenne o camera, a veo arcve conannrevous caure comuerracs raceo receve veorom a veo conenrover, anor a comnaon ssemoreneran comuerracsaa ase source veo, or a se o suc sources.s one exame,e veo sources a veo camera o a cacmuerra suornvees oarnc ve seosemo,nes.e soouwrecveer,evece exam aneseescersenanoneevrecseen a macaorm mae aons.caeo veo connenera, on aca an mae aeo wreess anor wre ve e caure,re-caure, or comuer-enerae veo mae encoe e voa encoer.e encoe veoaa maeransmerecoeesnaonevce aernavee ouunerace oe sourceevce.e encoe veoaa ma asoor or oereve sore onoe soraeevceoraer access eesnaonevce moem anocres,orecon anoraac.e ouunerace maurerncue a asaevce a eersan .nsmaeonner. uevnceeracencu measnecnuue an reecreavceer an, aor v a meooeemco aner rec,e anve ornee.: . e, e onrcoroev vee oonaea s oovreareeevnce., mea ennccouee v a veaoreaa o co smnmauxn ecaee overen e veo encoeror use e veoecoernecone vmeenosaeanerae snamxun eceamens maencue wn .uc com e encoe veoaaransme on a no sno mmee euxmam, soerse, oen ae ssonraaeon meevum, or sore on ae server. wc cane a ce mancueesaevce, communcanneraesaevce an an exernasaevceas conureo aao a useer, w an meaesnaonevce.esaevce saseecoe veo sa , aasmancsuae, a ann or aa vare osaevces suc as aursa e osaev nc mnoe sa, or anoer rorear oren vusec roe. s enacnoaerrs, suc an ase v,eoe,coer-, maar oerae accorno o suc sanars. soue unersooaeresen acao ,, or exensons veo enconecon sanar an mae acaeo oern vs neoomeo a secc sanars.senera conemaeae veo encoer oe sou enconecon e conureo encoe veoaa accorno an oese currerceevce ma mar,s asoenera conemaeae veoecoer on oruure sanars. mae conureoecoe veoaa accorno an oese cueesnaonevce e veo encoer ane veoecoer eac marreenm oruure sanars. o a vare o suae encoer anorecoer crcur, suc a emene as an anarocessors s, caoneccs one or more mcrorocessors, rorammaeaerras s,screeoc, sonwaerer,aearrcus s,e comnaonsereo.enmemenearan sowar ware,rmware or annsruconsore sowaren a suae, e, an eecroncevce ma sore execueensruconsna non-ransor comuer-reaae meum an enconecon rware usn one or morerocessorsoerorme veo ane ve oeraonsscoseneresenscosure.ac oe veo encoer wc oecoer maencuen one or more encoers orecoers, eer o evce. maenerae asar o a comne encoerecoer n a resecve exame,ne s vomeeom sourecmeena,ones, v aeeoas en acoaerr o co omr coonmenosn oensen scouurceeenvcee veoor eenacso aerar o as coemscroneense oowe wes renaereonnceevoce.,o arn exame oue,uenneuracneerac aeno,r ae ornee.: . v reeeroenceecooer. or, c aonmoenenssancueevcene m veoecoer asescreeow w new a oeraen a cou comun servce ervocre waac, maaorromv ase a soewrvarcee,aaaorm, os,r annraosrruncrausreru acsu are,e sruvcce asaao.ware as amemenaons, one or more comonensne sourceevce anor n some wc are noncuene cou comun servce newor maeereosvnaonevce more cenevces, ane one or more cenevces ma commun en one or comuersne cou comun servce neworrou a wreess c cae w server or exame, a ceuar communcaon newor, a sor ommuncaon newor newor, or aoa navaon saee ssem com-rane wreess communcaon communcaon newore.., aoca area new muncaon newor or a wre ne communcaon newor.n an emoorm communcaon newor or aower eren maememene as cou-ase ser en, aeas aar o oeraonsescre wc arememene e aeas aarvcesrove one or more server comuers e aeas aar oe comonens oees oe comonens oe sourceevce anor newor an one or more oer oeraonnaonevcene cou comun servce or more cenevces.n somememensescreeren maememene e one arvae cou, auc cou, or ar caons,e cou comun servce newor mae “cou-ase” ec.eren ma ou.eerms suc as “cou,” “cou comun,” e scoe oeresenscosuere usenercanea as arorae wouearnrom meoenmemenene. cou so cuome unersooaeresenscosures no eresenscosure ma asoeme un servce neworescre aove.nsea, currennown oreveoeneuumenen an oere o comun envronmens accorance w. ss aocaramreu.sran anoer exemar veo encoern maerormnraom ae examesescreneresen acaon.e veo encoer recve con renes onn serarecve con o veoocs wn veorames.nra aa wn aven veoramarecono reuce or remove saa reunancn veoo reuce or remove e orcure.nerrecve con rees onemorarecon cures o a veo seeumora reunancn veoaa wn aacen veorames or snonmsoreerm “emncae.e” o soue noeaeerm “rame” mae use as reconrosc sesoswnn unn., a,r ece “ o vcu eeore c e”nucn roeeere uern ocu veseo a c , vo a suen mo. maera m,e amorransor,m a ornee.: . rroocceessssnn u unn, auruearnnzcauoens u an moo,n an es amna enorno un enco, an mo unon co.erecon , aaron un, annrareconrocessn un, an annramensaon un un.n some exames,e veo encoer asoncues annverseuoco annverseransormrocessn un, an a summeror anzaon un,n-ooer, suc as aeocner, maeoson veooc reconsrucon.n oerocounareso removeocness aeraecweene summer ane noern-ooer, suc asameavese esr,rorm reconsruce veo. avese er ano ossomonename ao raven-ooer , ma asoe usen aornoeeeocecnnueer,oer an ouu oe summer. soueusrae escreeren, annsea,e aercesen acaons nomeoe emomens seeceor an o auma comonenaon mae aeo a suaon were an oses accorno an oer oeu , a croma comonen an ar croma comonen comoneno mo sa ama comonen,e croma comonen aner croma eusraea ars cn comonenase one seece ose.urer, sou aso croma comoneomonen menoneeren mae an oeuma comonen,e mae a n aner croma comonen, a secon comonen menoneeren comonen oer oeuma comonen,e croma comonen aner croma comonenn,, ane a crrom coam comoneonne mne annoneerer cernom maa come aon reenm.annn som oene ex oamees,uman-ooers mae ome, aneecoe e summero veooc maerecrove e arware un ore m .e veo encoer maaeeorm o axe orrorammae arware unsaeve amon one or more oeusraexe orrorammae oe veo ee. n veoaa memor ma sore veoaaoe encoe e comonens exame,romcoee vre.e veoaane veoaa memor mae oane,or reerence veoaaoro e sxource as sownn..e s auera sores e veo e ame, reerencerames orcuresor usen encon veoaa anencoe mre..,nnra ornerrecve con moes.e veoaa memor e veoa aeorme an o a vare o memorevces.n varous exames, o-c reaa memor mae on-c w oer comonens oe veo encoer, or reconrosv c se esoo swnnos une com n.o a,n r aeneors. n rseceev vneoea vaenoo vaae,oeocars.ons unaro wnnn mae ornee.: . a osoernacruereaornonnns a veso aracmcoernno socerse,eenseo sr examn se,ru secsur oes v sueoocs, or ree srucure assocae we veoaa.e veorames or maec r as aua-wo-mensona arra or marx o sames w same vaues. sam eare as a asoe reerreo as axe or ae. numer o samesnorzon ene arra ma or axes oe arra orcureene a sze anor a res a an vercarecons rame maeveno mue veoocs,oro exuamon oe,e veorame.e veo veooc aans or mae reare as awo-mensona arra us orn aronn.e same vaues, aou o smaermensonane veorame. marx o sames w orzona an vercareconsor axes oe veoocene numer o samesn e veooc maurerearoneno one or moreoc a sarze oone veooc. wc maorm aanocs,or exame,erave usn aronns o,r suna-ocs aronn orre-ree aronn r-ree noea or an comnaonereo. soue reca eerm “oc” or “veooc” as useeren mae aoron,narcuar aonuar ansuare o,r noen- socuar oer voreoon,o oc a mrame or acure. reerence,or exame, , a, a ae or corresono aonreeno a corresonnreocconn or aransormn anor mae or correson oc or aransor,m e..,o acon anreeorooc a s , aonoc , arecon ereconrocessn un ma su-oc. con eec one o aura oosserecve one moes, suc as one o aura onrarecve con moes or one o aura rae anrreecevvee c oonso mroones.,oreere curcren veoocase on error resuse.., conn onrocessn un marovee resun sumram oerrnero rreecocnsornuc coee encooceooec sumorm ueser asoare one ara reee are rensceuraameo scu asenoe ereconrocessn un asoroves snax eemens, suc as moon uen. moencaors,aronnormaon, an oer suc snaxno vecors,nra- encon un rmaon,oe enro oc,ennr oar.erreoc seoenc aronc aessrnor uanenra wrencvee croecno mnoreore curren veo erormnrarecve con oe curren veooc reaveo ooncessn un ma ocsne samerame ase currenocoe coeorove sae or more neor mooceosnsn es umnaone urnormn aenrree arecon.e r c mvoe coon cnom oensea cuornren un veo wocn reaeveroe onceo onr ornee.: . m voreeo ernecocerve mocasner oonrem or m muoree re ceorenncearassmees,s eo..,roov seemorarecon.e moeor eaco eec an arorae con moeor a cnur sreonmce v e oxea v ome rameose,aae. e mnoeron esmaon un eermnesenerrecon o a veooc wne curren veoan a moon vecor, wcncaesesacemen veorame, accorno are rame reaveo arecveoc wn a reerence esmaon,erorme eeermneaern wn a seuence o veorames.oon vecors, wc esmae mo moon esmaon un,serocess oeneran moon esacemen o a veonor veoocs. moon vecor,or exame, mancae oc wn a reereooc wn a curren veorame orcure reaveo arecve rame.ereeerncerame reaveoe currenocen coe wne curren rames.enmneaern maesnae veoramesne seuence asrames orn a manne ra un maeermne vecors, e..,oc vecors,ornra connerrecr somnaroeeermnaon o moon vecors e moon esmaon un or r,e orc mave uoczeoe moon esmaon un oeermneeoc vecor. reerenceoc o a reerencre veooc mae or ma corresono aoc or a coenerms oxeereenrcaem,easeeme as cose macne veoocoe ,um ouareerence wc, m ora oeereeremrene um osoueerence veo encoer ma cacuae vauesor s nce mercs.n some exames,e sorene .or exame,e veo enu-neerxeosons o reerencerames xeosons, one-e xeosonscoer maneroae vaues o one-uarer rame.ereore,e moon e , or oerraconaxeosons oe reerence uxeosons anraconsamaon un maerorm a moon searc reaveoe xerecson xeosons an ouu a moon vecor wraconanerrecoe. n m cooeonr easmmeao cn un cacuaes a moon vecoror a veoocn an recveoc o a reerenceroammear sneoson oe veoocoeoson o a secon reerenceramess,eecerom ars reerenceramess or a sorene .e moon es emaac o wcenes one or more reerencerames moon comensaon un anenooen un sense cacuae moon vecoroe ecn oroeneorna conmenesareon,cevreormoce enro asee m e ononcoone cn mom un ooenns va. econor uneerm, mnaenvove moon esmaon un.on recevne moon vecorore curren veooc,ee ornee.: . mno onoen o come reensearenocne unrame msas, roecraeeve areercevceveococo wromcee moon, v aencororons erecveocoe summer.e sum war xeer mer enorms a resua veooc o moon comenecnesa vaounes suracnxe vaues oerecveocrove e xe erence vau uesnormromexe vaues oe curren veoocen coe.e comonenerences oron.ee m roesua veooc mancueuma or croma eemens assocae we veoocson comensaon un ma asoenerae snax econe veoocs oe veoram oe a. vee sonraameor use e veoecoern snax eemensenne moon vecor use x eemens mancue,or exame,ncanerecon moe, or an oer snaxonoremnaoneerecveoc, anas moon esmaon un ane moon comensaon un msacreeeren.neoreae areusrae searaeor conc ae,u n some exames,eenurauroses. ocsn a manner smaroaesacre un a maenerae vecors anecrecve un ane moon comensaon un,uov wen coennercon we moon esmaon rame ase currenocen coe an we vecorseencv reeocsenne same as ooseo moon vecors.narcuar,enra un merareo asoc vecors recon moeo useo encoe a currenoc.n some exa eermne annra- encoe a currenoc usn varousnra-recon moes,mes,enra un ma asses, anesererormancerou rae-sor e..,urn searae encon ma seec, amone varousesenra-recono mno anass.ex,enra un moeo use anenerae annra-moencaor es, an aroraenra-recon ma cacuae rae-soron vaues usn a ra accorn.or exame,enra unnra-recon moes, an seecenra- e-soron anassore varousese caracerscs amoneese moes aser aecon moeavnees rae-soron soron anasseneraeermnes an roraenra-recon moeo use.ae- oc an an orna, unencoeo amoun osoronor erroreween an encoe as arae.e., a numer os ucsa was encoeoroucee encoeoc, as we cacuae raosromesoronse ano rareosucee encoeoc.nra un ma wcnra-recon moe exsees raeo-rse varous encoeocsoeermne e moon cnom oeenrs eaxaomn unes,e,nnr waoe u onrna mraor ,o uosen va eroeu rm meoo sucorn ee usncmoac. onosno urnnra an recon accornoe examesescreeren.n eer case,ornraoc co, a ornee.: . aer nremsc ovexeoc mearencee, a wocc maaseeeeemrmen aes cose m,ac,n or oeeroceorenece co meer,csn, xeeonsocnas.on oerecveoc mancue cacuaon o vauesor su-neer or aerenerameer acecorrencvoenoercresrcomon,e seam veeroam eneco acceorrn maonorrma arecon, veooc suracnxe vaues resua c oerecveocromexe vaues oe ourrmrenn veeo resocua veneo cooec, moarmnncuxeeoeurmenac aen va cueros.ma ceomxeonenerenecreen vaues enrareconrocessn un manra-rec a curren veoocce,s a. an aernaveoener-reconerorme e moon esmaon un ane moos comcrenesa aonov uen.n,a orrcuearn,raenocra c n es orecreoncroocnessernor umne maeneraermn uen ann, ars recon moeo useo encoe a currenoc.oo so,enrareconro a ma encoe a currenoc usn varousnrarecon moes, e cessn un enconasses, anenrareconrocessn un or a ..,urn searae exames ma seec an aroraenrarecon m moe seecon un,n some recon moes.enrareconrocessn un moeo useromeesenra oe seecenra-recon moeoreocoe enrarovenormaonncave encon un ma encoeenormaonncaneo see ecncon un.e enro esream. enra-recon moen curren veoeroce vrae eceornnreorcesrsenc uonn orneraermrenecsone,recveocore resua veooc suracnerecveocrome curere snummerorms a resua veoaane resuaoc maencuen one or more vs aneooc.eoeransormrocessn un.eransormrocessn un ranso srove veoaano resuaransorm coecens usn aransor rmse resua ransorm or a conceua smarransorm. m, suc as ascreeosne eu eransormrocessn un ma sene resunransorm coecenso ranzaon un.euanzaon un uanzeseransorm coecensourer oeru ace oee ra coee.ceenuasn.zaeonerroecees os maua aso reuceee assocae w some uanzaon nzaon mae moe ausn a o a marxncauramneer.enu saonmeze exarmanseosr,me coeuanceznas.on uenrnav mea,ee ennreoror emnc ao scnan ornee.: . un ma ransorm cooer eocworm ene nsuna sncan o az.a vone,oe esnreraom encon un enro encoeseuanze on ,onexavenar usrn,m ee..c,oonenxave,araneaxen conex-aavenarrmeco -ase con or n ,roa nervaaronnnro maener anoer enro encon meooo orecnue.e encoesream evce as sansmeoe veoecoer as sownn., or arcvene sorae enrons eownn.oraerransmssono or rereva e veoecoer.e eemenocron un ma aso enro encoee moon vecors ane oer snaxnverseuanee zan cvu oerr nres aen v nunavneo erzsara eom rne unen c aone.enverseransormrocessn un a ocnexeo ansormaon, resecve,o reconsruce resua veo s noe a manoreneran a reerenceocorrecon o oer veoocs. rec ove,e moon comensaon un maenerae a moon comensae mooveocrom one or more reerenceocs oerames sorene .e ocno c coamcuensaon un ma aso a one or moreneroaonersoerecve ea seum sum-neerxe vauesor usen moon esmaon. recveocrer ase reconsruce resuaocoe moon comensae or sorae ouce e moon comensaon un orouce a reerenceoc moon esmnaoen un. ane reerenceoc maene use enra un,e rec anoer veoocn ae moon comensaon un as arecveoconer accorance w. somse an eoxamer s esoucse oeauern raem ve senuo asrraam cane. o ann. exeem veaor veceoecoern veoaa memor, an enroecon un, areconrocesoerncues a uanzaon un, annverseransormrocessn sn un, annverse reconrocessn un urerncues a m unoon, a summer, an a .e recon un, an annra un.e veoeco coemrensaon un, annra rocessenera recrocaoe enconrocesse maerorm aecon encoern connecon w ..or exame,scre aove w resecoe veo eneraereconaaase on moon veco e moon comensaon un ma weenra-recon un maeneraers receverome enroecon un,ncaors receverome enro reconaaase onnra-recon moe n some exames, a un oecoen v uneoec.oer maeaseoerorme ornee.: . exsacmosuerse o maeerevsene a amonca oonne. or msoo,ren o somee un exsa omes,e exames oeresen enra un maerorme exames oeree vseeoecoer.or exame, comnaon w oer uns oe veoecoer, suc an acaon, aone, orn ,enrarecon un, ane enroecon unse moon comensaon un ecoer ma noncueenra un aneuncon.n some exames,e veo eerorme oer comonens oereconrocessna un o,nra un ma comensaon un. suc ase moonoeecoee veoe oaaer m ceommoronen msa o soere v veoaa, suc as an encoe veosream, veoaa memor mae oane,or exameoecoer.e veoaa sorene veo source, suc as a camer e,rome soraeevce,rom aoca or acces a, va wre or wreess newor communcaon o veoaa, memors mn scaaa sorae meae.., aasrve orars.e veoaa encoe veoancue aoecureuer a sores encoe veoaarom an useneco sream.e oe veoecoer sores reerence veoaaor moes.e vne veoaa e veoecoere..,nnra ornerrecve con memorevces,o sucaa as memor ane maeorme an o a vare o ,aneon-armescs ravnom access memor ,ncunncronous es o memorevces.orusraeveurose,e v,eessve , or oer areece aswosnc comonens oe veoecooeara memnor. ane aareno onea smee memnoree avrcea or see .u we rove e s a vraeeo memaaor meemvocres.n a snome eexames, meae aa memor mae on-c w oer comonens oe veoecoer, or o v-eo reaveoose c c sreamaur rnom ereseone ensenc vos. enorooccesss o, aen v enecooecoer receves an encoe veo eemens.e veoecoer ma recev e veorame an assocae snax e veooceve.e enroeee snax eemens ae veorameeve anor esreamoeneraeuanzec coon un oe veoecoer enroecoesncaors, an oer s ecens, moon vecors ornra-recon moe vecors ornr nax eemens.e enroecon un enorwarse moon rocessn una-recon moencaors an oer snax eemensoerecon en.e veorames coe as annrarecve coe rame orornra ornee.: . coroceessrne ucnveo mcasnen oeraerereesc oonramaeas,ore an vraeoreocco on une curr oen veerecon ase on a snaenrarecon moe an reerenceaaromrevou orame oe curren secoeocs moon comeera nnme saoe. n v uneoram oes ceoere asc anonnerro-ceressncve coe.e., orrame,e recveocsor a veooc oe curren veora un rouces one or more oer snax eemens receverome enr mease one moon vecors an maeroucerom a reerencerame wone ocon un.ac oerecveocs ecoer ma consruce reerence ne oe reerenceramess.e veoecnuesase on reerence ramess,s ans, usneau consrucon escreenre sonm,ee exnamraes, u wram nenes s oeo vre eeon reoe ccons co. roceess acncor unnoroeuncersare mcoe ocsore curren veoocase onoc vecors an oer snax eemen ve rome enroecon un.erecveocs mae wn a reconsrucs receve oe samecure ase curre e reon e mo n veoocene e veo encoer.normaonor a vone comensaon un anorenra un eermnesrecon oer snax eemeooc oe curren veoramearsne moon vecors an ocsore currns, anen usesereconnormaonorouceerecve uses someen veoocenecoe.or exame,e moon comensaon unner oe receve snax eemensoeermne arecon moee..,nra or e..,re orco,n co unsseruco coonen vormeoaooncosr o onee o vr meoorera ome,e an renereerncreeracmoensramee rame, moon vecorsor eacnerrecve encoe veooc oerasore recon sausor eacnerrecve coe veooc oerame, an oeme,neroecoee veoocsne c rnormaon mar,enra uunrren veorame. aa,oeermneae cu ma use some oe receve snax eemens, e.., consruconnormaon o wcrren veooc wasrece usnenra moe, an soue sorene v,eoococs oerame are wne reconsruce reon erame,nra recon sausor ea vecorsor eacnra rece veooc o oernormaonoecoee veooccsnnraerece veooc oerame, anneroaone meros aosn us ceomensae voneo un encoer ma curr aen urso v n eee nro coorrmame nn. oeroea voneo usoncsoe ornee.: . c caomcueanesanoenr uonae v maaueseorer smun-eneeernexreos oao reerenceocs.ns case,e moon rome receve snax eemens an useen ners use e veo encoer enverseuanzaon un enrvoeraonersoroucerecveocs. coecensrovenesream an enr seuanzeseuanzeransorm usne sameuanzaonarameer cacuaeoecoe e enroecon unne veorameoeermne aeree oua e veo encoeror eac veooc aes annverserans nzaon.enverseransormrocessn un conceua smarnverseormra,ns e.or.m, anroncveesrss,eoe, arnansnvoerrmse coneeecrenrasnsnorm, or a reconsruce resuaoc orero ere moons conmeenxeoman. recveocore curren veosaoocn una orenra un eneraese e summer reconsrucs se one vecors an oer snax eemens, resuaocromenverecoe veoocore curren veooc summne ocenerae e seransormrocessn un an a corresonnrecve suc aseocn moer,on comeenrsaon un anenra un.nn-ooer e summer ane our,errocesseer aencor maeosoneeween en-ooer mae ome, aneecoe veooe veooc.n some exames, e summeroe .eecoe veoocsno acv meanraemer aercrove e , wc sores reerencerames useor suseuen mo een soren veoocs.e , or a memorevce searaero on comensaon o nex ecoe veooraerresenaon on asaevce, sume , ma aso sore . c asesaevce o. se oramens o arccuares v.eaoc coranme mroacesnsc, au veeore see saumencecancues an orere r.s awo-mensona arra ouma sames. se arras,enoe,, an croma sames.rs awo-mensona arra awo-mensona arra o rame mae monocrome an or croma sames.n oernsances, a sames. ereorencues on onewo-mensona arra ouma areconsr socoewsnn.,e veo encoeror more secca aaron unn aram sn un oe veo encoer eneraes an encoe reresenaon o numeer orssa orreorenn conseecruamveenon a a s reas oer scans o.re vreroomraeme mo ranc anuer aonmnoeeor ornee.: . sonoame.ace s aaresoca con un ane w ane oe are seuenc veo encoern a seuencearameer se, suca aesn a veo e noeeaaveeer seasmene a szecen one o×,×,×, an×.u sou ., eac mancuaeo ons no necessarmeo aarcuar sze.s sownn ocs o croma sames, a ne ouma sames,wo corresonn conree ocs.e snax eemenn snax eemens useo coee sames oe conree xes anowe veo sesuescreroeres oerenes o uns o a coeoc o ornrarecon ence cane reconsruce ae veoecoer,ncunner monocr ,nrarecon moe, moon vecors, an oerarameers.n sn omecures orcuresavnree searae cooranes, a mancue a coe cnorneereeoc an snax eemens useo coee sames oe conreeoc. o acocev mea aeee arnerxormaoncce o, seam vees. aronn suc asnar-reearo o encoer ma recursveerormree a comnaonereo one nn,ernar-reearonn,ua-reearonn or s..- areoc coarnamsreeusorcasn oowe ar anvee no smaer mue veoocs oeren szes an saesn acames recursvearoneno oeresenscosure.secen.,excorance w somememenaons smaers, eacavn aoc sze ox.moneour smaesrrss,venoour are eacvenoours ox oc sz an are eacurerveno e.ewox s an srucureusrane en reosuur os oex oc sze.. ecs aua-reeaa , eacea noe oeua-ree corresaornonnrocess oe asecen. xox.ee ecen., eaoc one ma o an rcesueec ave s oze rannrom anwo corresonn conocs o croma sames o arame oeuma sames snax eemens useo coee sames oe conocs.n mon same sze, an curesavnree searae cooranes, a mancu ocromecures or srucures useo coee sames oe conoc. se a sne conoc an snax aronnecen . an s onorusravoeuureos neose anaeua-ree snoso aao varnoca caracerscsase onuaer onnaerna cane arons.ne mu-eree srucure, one sarone aua-ree sr-ree eacua-reeea caneurerarone anar anernarreerucure an sownn.,ere areveossearonnes o a conoca svrnuc aure.s an ae ,.e.,uaernararonn,orzonanararonn, verca wnar ornee.: . aronn,n soormzoen exaamerneasr,aer voenon en,c an vercaernararonn. no oer maureraron a conoc o a on wc onee o sram meorerexcon,sn.er orns ar recanuarsuare or non-suareoc o sames same a,s ae. o a mancue a ouma s.ns m,ownooc corroremseoncunres ors oc curerosmaav snamreese, a snea sranea cxo eoremeanness, useorece a sne an snax srucures useorece.e veo encoer a m maancue recveuma,, anrocso enerae e veo en ruma,, anrs o eac oe. recveocsorcoer ma usenrarecon ornerreconoeneraee recveocs o a a,.e vee veo encoer usesnrareconoeneraee ase onecoe sames oeora emncoer maeneraeerecveocs oenerreconoeneraeereceve assocae we.e veo encoer uses erecveocs oe ase oneoccose o s a,e veo encoer maenerae erame assoc ames o one or morerames oeran eraee v weo ee. mores o a,e vencoereneraesrecveuma,, anrocsor one or suracne’srecove enucmoaer maenerae auma resuaocore samene’suma resuaococnsroms ornauma conoc suca eac e'srecveumaocs an acaes aerenceeween auma samen one o oc.mar,e veo encoer m corresonn samene's ornauma con ore, resecve, suca eaca senerae a resuaoc an ar resuaoc erenceeween a samen one oamee'snre's resuaocncaes a samene's orna conoc an eace scamveenocs an a corresonn mancae aerenceeween ar samen one oe'sreec'sr resuaoc corresonn samen verocs an a urermore,e's ornar conoc. aronnoecomose aseusraen.,e veo encoer ma useua-ree , anrransormocuma,, anr resuaocs o ano one or moreuma, suareoc s resecve.ransormocs a recanuarsuare or non- aransorm ooc sa omues on wce sameransorms ae. o a mancue an sn ma sames,wo corresonnransormocs o croma sames, maeax eemens useoransormeransormoc sames.us, eac o a n some a esxsoacmaees, we aumuamararnasnosromrmococ as,s aocaeran wsormeoc, m ana ae ar sruan-soorcm ooce. ornee.: . oc's.umae resruaransoocrm.eoc mraansorem a souc mae a su-oc oe's resua monocro -oc oe'sr resuaoc.nransormmeocc aunres s onraxc surruecsuarevsn usereoe sreanasraorem cooer samanese,s a oe maransncoue a sne e veo encoer ma a one or moreransormso aumaranrsmoroc. o a oenerae auma coeceno moc mens core. coecenoc mae awo- e veoona en acroraer or manaso arm co oenec oern mso.rransorm coecen mae a scaaruan. e eransormso aransormoc o aorannesraorem aso a coecenocore.e veo encoer ma a one or more errernaenrsaonrm a coc o aoenerae ar coecenocore. oc or ar coecenocoe,cenoce.., auma coecenoc, a coecen uanzaonenera reerso aer veo encoer mauanzee coecenoc. oss reucee amoun o ocessn wcransorm coecens areuanzeo urer comresson. aa useo rereseneransorm coecens,rovn encoer ma enroer enec veo encoer uanzes a coecenoc,e veo coecens.or exame,e voe snax eemensncaneuanzeransormncaneuanzeransormeo c encoer maerorm one snax eemens sreamancues a seuence ooecsens.na,e veo encoer ma ouu a assocaeaa, wcs eer sav aorms a reresenaon o coerames an evce. ene soraeevce orransmeoeesnaon maarseere recserveanm ao osarena smneanxerae e veo encoer,e veoecoer ma reconsrucerames oe veo eemensromesream.e veoecoer oaneromesream.erocess oaaase aeasnar one snax eemensoe enconrocesserorm reconsrucne veoaasenera recroca maerormnverseranse e veo encoer.or exame,e veoecoer o reconsruc resu orms one coecenocs assocae w s o a curren aso reconsrucseaocs assocae wes oe curren.e veoecoer ocsors oe cu crorennoco cso ore curren ane sames oerecve oe curren.er reconsrucresonn sames oeransormocs oes ma recon ne conocsor eac o arame, veoecoer ss nrucerame. moes,.e.,nrao-eram aeovree, vceoon coornnra a-creevecso vne aon comnerr-esrsamone usrencronmaorrnwero- ornee.: . mroeec.oenw.eens neoweo maoes,n ceoru-ramee rerearceon as co enrerunesra m-orraemerecon or ar annra-ramereconecause oe use o moon veco oe con ecenc ocrom a rsorrecn a curren veo u re werencee v eveoermoc. veooc szeorreservrovn veoaa caurnecnoo an more rene reresenn moon vecorsneasne veoaa,e amoun oaa reureor overcomns c or a currenrame asoncreases susana.ne wa onoe saa aanenemeosraoeonmeromeaca no on arou o neorns moon vecorseweenes ansave smar veoaaorrecnuroseue e moonnormaone neorns are aso smar.ereore,sosseo use aroxmaon oe m ooo snaa neorns anoremora co-ocaes as an er saa anemora cnormaone.., moon vecor o a curren exorn ” oe curren orreaon, wcs aso reerreo as “oonecorrecor eermnnesea oe en mco. oonn, esnmoaeo vn uenos arseame, an acua moon vecor oe curren ,e mo scre aoven connecon w . e on vecorrecor oe curren s suracerome acua moon vecor o er ceursren orouce aoonecorerence ore curren.on so, eac no o neeo encoee moon vecoreermne e moon esmaon un or moonnorm aaramenoe veosream ane amoun oaa useor reresenn eonenrocees vs oeo coossream cane sncanecrease. ramerecon o a coeo n arecveocn a reerencerameurnner- ane veoecoerocr, co an sse o rues neeoe aoe oe veo encoer “meres”or a curren rucn a moon vecor canaesasonown as a saa neorn s an usornoseoena canae moon vecors assocae w seecn one memerrome moeomora co-ocae s oe curren anen e curren.on so,ern vecor canaes as a moon vecorrecoror rome veo encoeroes no neeoransme moon vecor canaesse recor wne moon vee veoecoer an annex oe seece moon vecor veoecoero usee sacor canaess sucenore veo encoer ane sor encon anecome moon vecorrecor wne moon vecor canae a usernerace. so.wns a so cmonme eue c mnurr o ee mnnvenrosn,m.een coomr au conmuevnceevce cane croourme an w o ornee.: . vaerreonuse moereons a ocrcorroacnecsese wssuc var asou esnconecon meos orrocesses asescre envronmen canear o a exames oeresenscosure.e comunncues arocesso aarocessn server.e comun envronmen erorcessor, a memorca, a cnon arnosn ouveuu nerace . envronmen , suc ase oeraons assoc ra oeraons oe comun communcaons, anmaerocessn.erae w sa,aa acuson,aa rocessorso execuensruco ocessor mancue one or more meos.oreover nsoerorm a or some oe sesne aove-escreneracone ,erocessor mancue one or more mouesaacaee rocessnnweene, aro mcecsrsoorrocess aonr, a o sner ceo cmo mneancs.ne,e aroracessocar marocees aenra , ore snn o e me.emor s conureo sore varouses oaao suore seraon oe comun envronmen .e memor mancuereeermne ooerwaaere on.e cxoammuesn o en suvcronmaeanncue,s vnseorucaoansseso,rm anae aaac,a eoc.ns oer meos maememene usn ane o voae or non-voae memorevc meemor comnaonereo, suc as aacanomccessemor , anecrs, or a rasaerorammaeea-nemo ca n e r , anrasaerorammaeea- emormor, a mane,c a memroorra,mmaeea-nemor , aea-n e nerace r aovases m anemnorer,a ac meaenewc or ocas. ereranerace moues, suc as aeoar, a c eenerocessor an uons mancueu are nomeo, aomeuonc, wee,uons, anee.e uon.enerace cane coue w an e a sar scanuon, an a so scan asa onene,ra ex,ceeasacn servaerarecreonc sconemoeo anco s areeer a unneco rer exse aer nm. eos,ee samemrove, e.., exenenrarecon w we-anenra moes, ae anor nrarecon, ,n ueeerencene an rau-aron recon, recon, xennreaenmraae macnrecon . erecon w we-anenra moes aovee c , uses a se o reerence sames neorn a curren .e.,o caureunrreern ee orreecoonsere csuernrenn nauroar veeco seasmecesa ooer c vurreeon cone.nownever, ornee.: . resou.ons., e..,usra,e as n aumaerra om a onunarran mroa moess exeneromn on amone anuarnra moes, m es asenen .s sownn., moes - oeso are convenona anuarnra moes, an moes,eo -ana arn m mooeemsoeon are w.e a-nanerencra muroreens.n a mooneome anuarnra o are a oen. ocsn suanrcs eeo s a a aueae , recnn aanrern.arreearon srucures aen ,eses veoo uneua w ane ou onaer vveeon voceos aosco e,x vasroours seesn ora anreuacronnran m.ue e seecerome anuarnra moesorerenoc s oes ma o suare an recanuar veoocs aes.ore secca,or moes amone anu ,esesanar an moes, anuarnra re arnra moes are aso suoreor eacoc sae.en ancraan mouaer ooce v saeoe ooc a v maeoeo aca savseese ae cremrann conon, annex o a we-aneo annex o a convenona anu e e veoecoer accorn man re arnra moe receverome veo encoer usn anra moesa areon ssna aes sowne vneao eencoeeorw. usans,eorn noen-suareocs,e we-anenra moes, wc are maeo xes oe convenona anuar aerenar nexes oe we-anenra moes e veoecoer moe,e msoee, auns ensur annuaar anoraa m noumese armo.en.,e on aran muoares.e.,eanar uncane, anenra moe con meos uncan nra moess snannra moess aceve w e.s a resu, aoo ecenc o szes. erovn a conssenesn acrosserenocnra moesa anen sexoewss o a w mae-anne renaraon msoeseowreeennnraexers o convenona anuar saesn , weren reresens a w o a ve econ oerenoc e veooc. ooc, an reresens ae o oc saesec raonexes o caonveenona anuarnexes o we-anenra
Figure imgf000026_0001
ornee.: . recane
Figure imgf000027_0001
anuarnra mmoaersonenr uarzee ac seon on reerenc,e a sameesn araov meo anese.e.,oanar, an ocornrarecon.owever,erenrom were on a curreen n veo rowcoumn.e., a zerone n. o reerence sames are use eares reconsnroucen weren aonoe neares rowcoumn, o reenra sames,wo aona rowscoumns o reerence sames.e., a rence ne n. mae useorenrarecon.nnex o ar sseecnee row acn ar reerence samess snaerome veo encoeroe veoecoer oumn o neares rowcoumn o reerence sames.e.,ersne .en a non-s seece,eanar moes excuerom a se onra mo oersea mrane n. e curren veooc.e nrareconssaeor ars roweco usueorec ocsnse a curren oreven usn exene reerence sames mn o veo . ousee curren neorn rse mereenncoen seam eares,er w,ce mnaranrerocucoen sascmonensu areeeneraerom a se o eween a curren veooc an neorn veoocsesr aonocounaresnroucen o sove sucroems emon a weeeo c.omenaon ooonras ornee.: . oreowcnon snamra meso wes wouonua srn reaenren:cea snames.n , mae enaeore mnexesessan or euaoa o aorzonaar mnorae m,oe m.eo.,e m,o aneuar, annra a mnoueasr wnraesosesa wn or enueaxesore.aer aanoc or euaereonaa ous ae veorecanora moe.e., moe an aeore currenoc or annex o a seece r uaon moes nrareconsreae owcoumn o reerence samesor oe a’ cxu,rren a sea ran, s no ae.ssumna arecon same r rmeocae a coornaex,srex,, a moerecon same ree’x,=sero − w − w,rmes cac × euae – as:,w×−1,y’x’,−1 weree reresenrex, ( ) reerence samesocae ao anse aouneare os o samee csu,rrexn’,− sam ane, re−s,e’ reresen an w are wes wc are aave seece accorno a cve, w oe currenoc, “” reresens nnra moe an aoc sze wsee s awse r s oeraon, an “”ncaes a eu onceraonon.x, ^^ , zne euaon maeene asoows:
Figure imgf000028_0001
^^ ^^ aona moe an. aoom-eaona moe resecve. n ao-rsocae ax,nereconoc.e ree erecon samerex, coornae o x’=x an a verca coornae o -r,e annce saem reeerenxc’e,− samase a−o,r’zoansa orzona coornae o - an a verca coornae o’=x. a recon uma veooecs verrecacon orso arozoon aaenoor ourma sun-raarreocon moes, wcves ereo, as sownnae.or exame nseenn onoc szes an sowarams o su-a, a mnmumoc szeors× or×.. a veoocor exa ronseenn on aoc sze. aoc sze× o ene veoocsme,e veooc as sownn. s euao× or×, exame,e veno su-arons. aoc sze× o a veoocor ocsv veenoooc su-ar as sonosw.nn s.zeas mraea uesreans× res orrc×e,oe an maex vmuemo ornee.: . o ×. su-aronsu a conaone oavn aeas sames. oc sze umer o su-arons
Figure imgf000029_0001
s , ecnoano a,nrveersceonua sna.ere,e resua snasenerae rocesses suc as enro aron are avaaenozaeonner aanenverseransorm.e reconsruce sames o eac su- aronoerocessese one creoncanonn o a ao ne-xe su sam-are oon.en aon, ars su- su-aronsrocesse,e recon , an aerers sownn. connuesownwarsororzona sn as su- an or rwarsor verca sn as sownn. an . raerconosn saree samenrarecon moe. , wereon re curocmea sea cmrosess-c oom aonen ar reeunanc, a recon moes usen rec!,^oere , us =n α a · rencea′r m,oe as r o e o c w e s: ase on reconsruceuma sames ,^rerese w ns ere " own re -sa " m , e r r e ec r ! o e n sensrece croma samesne , rec!′ erormnown-samn one recsonruscrueceumuam saam samese os rece, wc are oane m coorearameers wc areerverom a mosour neorn! cr,o amna s αa amnes a arneneearr ×res,onenn’ aonwn-s’a amre oeuma sames.uosea a curren cromaocas a sze o ’ =,’ =ane asoows: ’ = we wnen an moes ae ’ = wen a ann_ moes ae werene mo_ moes ae. o cacuaeenear moe coee, aceonves sanmees an_e m soame, oens oee are useoeer are useo cacuaeenear mo aove sames oe sames oe are u e coecens anne_ moe, onee ocaons ose aoov cea scaumaees oe an cearro mmoaeo ccoe arecenenso.e as, −…’ − ornee.: . ,o −so anns oocoaurons oe sames oe cromaoc areenoe as−,…−,’−, osons oe’ ne ou,r − ne,orn o* cr rn’om c,a r − sam om,e a sa−s a m,re es’ seec w ane as−o,ow*s:’ are seece ase e aove ane sames are ene moes ae ano o osons oe’o,u −r ne,* a orn’va,a c −e rom,a sa*m’e, − an*’, − are seece ase aove sames are av s wene_ moes ae ane − aae or wen one aove sames are avaae osons oe,our’ ne,−or,n* c’rom,a sa−m,e*s w’en ane−_,*’ are seece ase sames are avaae or wen o moes ae anee our neornumna see sames are avaae. aown-samn oeraon aname oesa conreresoounr nnoe seeceocaons are oane ourmesonwoarer vaues: x an x aenwoorn smaumera v saamuees are comare roma same vaues corresonnoewoarer vaues anewo sms:a xer v aanue xs ar. enoe as,, an resecve.ena,,a an ar e a=x0 x1 eerve as: =x0 A x1 A ab=0 AB 1 B oown eunaaon,s.enear
Figure imgf000030_0001
^^ are oane accornoe ^
Figure imgf000030_0002
^ " ne m.oe s,onwcsu anaoracma oonso ocaeon s a one ao avne s aamovee ssa om anes o×e cromnavove ne anocaons oe an aove sames o an× oc . umaoc ne rocess, aneeraeroamree neor s conmaxu eaemonenesscr usee aoo covneves veraourme asar oeecon encoeroe veoecoer. es o α anrome veo s annrarecon meo new aeno .ne recon ornee.: . meeneroae, areacnon on sena o sames o a recanuaroc o w ^^ ane ^^s recanuaroc an on ceo ruomwn o o ^^ r reeccoonnssruce neornounar sameseoe recanuaroc asnuase oneorouwcen neree soerns, wounca arre sames aovee vecor mucaon, annearn averan, marx rs se:veran neerooarnon s as sownn.. ounar saomure ssamreso or an e ^r saemeass aarmeeesermne averane neorn neornounar samesro an^er oen areoc reu sczee aono sunaae.or exame,,-.e an ^^ ^^ ^^ ^^/*0, averane neornounar samesro anr^ sarmees a ^^ ^^ ^^ ^^*+ aon a ^^r ^e^ ^^ ^e* ^/*n+ 0,e^ar reu ceonecaeennane oon a reeuocce szoeu.naern, vece roer ^u^ ^c^ ^e^ ^^ou wnacr samuseasc s ^ a^c ^o^ ^r^ ^^,n*-+ . oroc*+s o sae × anas a sze ooro *+ sze o reersoe-moe,s cs o a oer saes.nexmoe ^^ ^^ ^^ ^^ ^^ ^^ ^^ c ^^oncaenaon ^^se ^^ne as
Figure imgf000031_0001
e averae m saamrxe vsecnor meu reucceaono,uonoarwe veco ar ^^ ^^ ^o^ ^n^ o a ans o ansen,us c,arore ou w reucexamreecson sna o aown-sa *+ enerae a more e me se o samesne ornaoc.n one or ^^ , ^^ ^^ ^ e ^ reu = ce ^^ ∙ ^ r ^ e ^^ ^^ ^ c ^ on s ^ na ^^ ^^ ^^ ^^*+ ^s comue as: coumnsn aer oe, ^e^s*+ a marxa*+as ^^^*+ ⋅ ^ ^^*+ rows an coumns ^^ = ^^ = or ere, ^^r* c+as aens. ^ ^^^s*+ an ar oeseen veecor o sze ^^ ⋅ ^ ^^ ^^ as: *+ *+.
Figure imgf000031_0002
ornee.: .nex ^^ ^^ ^^ o ae s mearrox ^^ ane ose vecor ^^ areaenrom one oe ses ^^1, ^^2, ^^3.n oows m wce marx ^^ ane ose vecor ^^ areaensene as ^: ^ ^^ ^^ = . oo o rr r ^ ^ ^^^ ^^ = ^^ ^ ^^^ =, ^^ = ^ ^ ^ ^15 c e o ac nss o s s o z e ere, e m , a ^^ acrc c ^ eo ^ s, e ^ ^ ^ ^ ^5 ^ 1 , c ^ ee , an ^ c^ . o o a w r e ce mc s a an raxs o ^^ ss e ro re vw e sr ce as one rn s o e co w aum se ns- a a r n e u r se ec ososne. veceo sers s1ze ×.^e se ^^ consss o marces ^^5 ea orocs o ose vecors ^^
Figure imgf000032_0001
o sze,^ c o wcas rows an cou5mns wcas rows an coumns an ^^ ∈ o, … o ,se. veceo sres ^ ^^^5 o con sszses o, ^ ^^ ∈ mar, …ces ^^3 eac r se:n recon sna oeone ow sn-nsaam aee se re omannoso3 ,. erecroaon nsseneraerome reuce senearneroaonn samesnearneroaon wcs a sne orzonarec eacrecon.eneroaonserormersne nraemae maocn annreencnoe vercarecon rearess ooc sae oroc sze. a coesneraesemreaec moanconn crroemconnra s a secanrarecon moe saeema e reconsrucear oe currenrame, wose- searcesoree m moasc semsaer ceumrrenaeemoaee c.urroern aereene searc rane,e encoer currenaera ome an usese c maen a reconsrucear oe e us orresonnoc as areconoc.e encoeren snas es mreoce,o ann snea sasmeenreeraceon o maercaonnseer-sormaee a causeaecoer se. currenoc w anoerocn areene searc ar neor oe • : curr ean. conssn o: • :en • :o-e • : aove uem on e aacso rueeonerences s use as a cosuncon. resecoe cu ,eecoer searcesoreemaeaaseas w erremne onnseo anns u oses as c roerreosnsonnearcocan ase a_wr,eceaorcnaonce._ are se ornee.: . reoroxreo.naaos:eocmenson , oave axe numer o comarsons eeaarrccaanne_w = a * euao. were ‘ ^^’s a consana conroes_e = aa *ncomexrae-o.nracce, ‘ ^^’s n w anenerae.mase m maxamcumnoo szse enaeors w szeessan or euao enraemae macnrecornraemae macns conurae. ecaea wen s no useor curon moes snae a everou anra connouee, exssensnn craan s sr eceneumree c. ranmrroovvee. sorn excaamnemrovemen o ecencesa exsne currennra esn areene ,eoown ne currennra , onneer-easeemaensscosure: neecnraconaneroaon,.e., onne searcs uze we reconoc.snownara er-eemae macnocs use ase reconnner- conaneroaon canmrovee accurac onra e recon,ereoree neec oraconaneroaon maese curren oc wcnss e eaee s ccuorrveen. e mnnramum m,a ocnn on ceosoesss uze,.e.,ees macn sneoess mae vun s seece asenarecon.owever, aseenroveaneeraneeroree ncoosne, meannrouecroenc oo mnuess aeccuraoe.esess ceasn, emxamroveesmeeremecnonn m acucur-ac.oaesses oanseen araove anass,s reasonaeorove ecenc onesnrascosurne, meeos. anreenerorav,ee mo. anureaeurrems oroveere comressonnsscosure ar ove meos racona-eoemmroe av s eeumm maear creze nc a .osno e ancoceuwrs ea: rce omnarea mac,neeoccose craenncoer ma uze usnraconan eurer rene scemeo armerroovveero eea . ancocn su. ormace ex oamnreas, mu, exeamemesa oe m mauc-noocesss areas seearcnera a wne weneacoors,eneeraeroveen maur-ecoonessocn.raccorn canoee casesrveaonn oowoe ornee.: . caraecoorneas:nxe mu-oessnra an aavenra. reconsrucenra reeon curnrene cunrrreanrame m uosne,ee-sreaceeonocs searcerome rocess,eesreconoc wceasoe m mae.neemae macn use asenareconoc.ne curr nmum macn cossene ansase onneerxe.ourer en exame onra,eemae macnnsscosure exa mrovee conerormance oenra moe, moe. mes areroveo uzeracona-eemae macnornra meoa-ee,neuraroear-oen a anccu sroacorracona-eemae macn caneu no n one or anoer emom oenn. ncae oerneroaon , onenex vaue cane snaenesreamo , accurac use.eneroaon accuracnex cane snae a ses.nen s oc rne se oe sra e aner ,o. eere emmaoem meanc,nerraocceosnsannrea cu canevenowo en e omaneerreceemae.ne seconrr sen s conuceo surrounneneeremae areneroae e,raconaemaes conuce.. roves an exam anracona-eemae macns reresensneerxe an ^^ , aeora-eemae macn,n wc
Figure imgf000034_0001
receemaesene,5,7n ^^5,7 reresenaxe.ere oma esanceseweene e e a-ereceemaes areenneroae. receemaes are currenemae ane omaneer ane e a-e mnmumema cacuae an comare.ereceemae wceasoe corres e macn cossene an use ase omareceemae.e oe connreceoc oe omareceemaes use asenarecon u-urroenoc. mnmumenes mes a cn eurr mraeancn c,o osns uese oomrareemcaone. mnaceoc wceasoeemae maceocs seecease on an some exames,e oona aemaeeano aemae ascenn orer oemae macn cos, an canaess seec macn cosoweranemae macn cos o oer recon accure ase omaemae maceoc.ourermrovee scosure.neac mu o-nraoess,nera mu-, mooreesasn orneecreonc moenoosc ar ceanrovaees arne ornee.: . usreec anon weoc ceanoaeneraeenarecon oe currenoc.ssumea re seece accorncen aonnes are use. n o o anooc c e cea rrn e erma ooemeernv,aoenreconoc canaes are searce an canae n o mnmznemae macn cos,.e.,eo macns co ws canee m nonmmumeeomae msuamc on cos or coss are seece.eemae error. asoueerence an sum o suare reene anxe ns m x eemu ao-mo oene,ss ee en wn coera er annacecoorsero senee.rase ane exanmaere, ecuaonoc are acors cane use,.e., or ae canae wen ave mu-oessn ocs. o aaoeverse carra oessnra meos aracerscs o veo conen, exames o aave mu- eo e asorove. emae manc onen an co asnso.eern eomeoemeenm,aee wenacors caneervease one ^^3,…,^ ^^8,e we n ^^acors are cacuae as m o ac ow n . coss oe canaes as ^^2 , meo so aune
Figure imgf000035_0001
^^ ,, … co ,s ^^ cane measure wu no eo . anen snnaee annoeer emsreoammeon,eee wcoeer.nenoaceorse canreeecrovne aoce c eanncoer se ^^ , ^^ ,…,^ ^^ a an on: e currenoc as aes as o 2 ow 3 n e 8 u ,ene we nacors cane sove e ns arueaoennuan cazneeo sonv85ee=2 ^^5 ^^5 = ^^ coece e ursne anene sr-naoe enuaeonso acseve..eerveer aneervne eeo w aenoenr emacoorsm aeren a,ee weoenreaccorso anreoecrv ceanasaee osnoeeneemraeaees ornee.: . nea currreencoonc aosc,.eennoee weeemnaeasc oors ceanreecerovne ca unsnaese aos ^^o 2 w, ^^n 3,… e,^ ^u^8 a aonn: uaon cane s
Figure imgf000036_0001
^^ oc cane cacuae 8o aons.enenarecon eo as5=2 ^^5 , w ^^5 -reconoc canae. accurac,nn wrac sm maroeoc exs aores se nonoca correaonomroveerecon ns emomen, exames areroveareceo c aonm usneeoe neneraeenareconoc. oessnra , wcse onoca meanern an mu- canae scre asoow.ners se,reconoc se,e wse are senarcaeco arns caencuaee a ass conucenenra oe .ne secon anoc ^^ c ^^an w sae eere no arn ^^s maze use aeomo
Figure imgf000036_0002
n coanes oan:e currenoc,s useee amsaee s orene- o wen o ca
Figure imgf000036_0003
wen srencu saoeueee ,e sren o wen oroecee wen ermners.nsscosure, severa meos arerove wen snrene vrsau m s eseren soe, a. ne we annxe sr aeno c eanncoeare anse ccoonssn o someca se,e ween sren vaues a er se.e encoer oma w re cece usn raesoron omzaon ane nne se scroenn me vaoue,see wneen an s srennae vanesreamoeecoer se. o oereconoc canaes aneemae oe cuurerens esomca.ee unsoneeeeemmaaees srener veauceo cnan caen soavees
Figure imgf000036_0004
^^3 e,…,^ ^^8 ane currenoc as.ene
Figure imgf000036_0005
oown vaue an vnaraence oreemae oe currenoc,.e.,e reaons usenweenee ornee.: . wen sreeno vaue, vaue aneemae varance canee one. snuar vauoeeecoemr exosoe nonoca correaonnenra ,ns emomen reconoc canaeso.ne ws u anzeeo oeneraee cuenareconocrome ,e area oe rrenoc areenoe as an e. currenocsenoe as ^^ = ^^ × ^^. enra reconoc canaes ^^5 are searce anene as conucen e o.ee ar. rou ^^ an are arranees aconoc canaes oe currenoc ^^ consruceoc were ^^s a ^
Figure imgf000037_0001
m ^ arx ^ : ^ ^^ ^^ a coumn vec canaenrou ^^ eor..erorm ecomoson one marx ^^A . e. so-reson ^^A o = er ^ a ^A o A ^^A = ^^ ^^ ^ n one snuar vaue marxA . were ^^ ^^ ^^ ^^ A#,D ^ ^^ ^^A , ^^ reso ^^.ore- ^^aosn aau enecmoenn wc srnseaona eemens oA we aeve ^^ ^^: nA ,s srunen e nonnearunconDE ons. s
Figure imgf000037_0002
^^ ^^ − ^^ os e ^ e.erormnverse
Figure imgf000037_0003
^ a ^^^ = o ^^ oan eereacrou. ne oe A AA,D^ ^^A eemensne.nes ssecsosusreoeermneereson vauesor eacaona resos esmaeor eacrou o,meareeson vaues are cacuae asoows.e ^ * aces w eoown euaon: were ^
Figure imgf000037_0004
^ e ornaocn^es-e se sanarevaon ocn saces esmaeme anssoon oow.^ saceorrou ^^.eevaon oe orna ornee.: were ^^3 A ^^se ^- s^nu* . I ar^^ vaue ^^ o ^^A .enH,A,Es zero,e so- ervesaoon on oeerraeo,E cn^^ es soce us.nn a aon,eeva#on o noses esmae we ^^ o ^^ weruncon wcsarameerze w ^^ an were ^^s cacuae
Figure imgf000038_0001
^^ ere
Figure imgf000038_0002
- * u-oessn E reacemenn ose csucrroesnuren,ra raerov s mena mun-oessnra cane uze as a moe or mu oe ore encoer can aave seecnra n o-ne aone asnsonerra emo mmoee. as a reacemen oe currennran, moeer,ov.e.,e aw maus- usno meussnera s use recon. oessor aove seconnses u anseoer emomen, one oe mu-oessnra meosnenesre on we currennra moene .as snae namoncae weer mu-oessnra moes aeoe. e aove secoens anso useer eomnom wen, meo cruerran one mu-oessnra meosn snaenesreamonca ennra moene .asrs annexs s e weer mu-oessnra moes ae.en e. naeoncae wc oe mu-oessnra meoss aeo exame oe.res aowcarusran a meoor veoecon accorno anemae on a cuesen rren co,sc neosu unrroec.essor coe, w aen sraee om aaeecoer, ma oan a curren moe.nra s a secanrarecon macnrecon reconsrucear o a currenrame, wose m-soaeeaem coaese a maesreconocrom a ne ,erocessor ma o cese currenemae. n some exames an an omaneerreceemae. conucn aem,aee maroccesnsorrocess mna a o curarenne o.maneerreceemae ornee.: . nnee ,,eerroocceessssoorr m maa o oaann aracnoana-ereceemaes. ase on as reconore curren aneracanceeweene currenemae ane omaneerreceemaeemaes annon o soa rm- uee ar exr erae -mc eee esm,em aeesra .aces. oornnas-anecreceemaes mancuea-encuea-eemaes,uarer-ee e,eracona-ereceemaes maemaes.n some exames maes, oroa-eemaes anuarer-e oreracona- ,erocessor ma use aracona vaueeween an n somee exreceemaes, wereeracona vaues oeran or. sream, we ames,erocessor ma oan annex vaue snaen a rocessorre maenuerxe vrau oeanncaees arnacnoenra-oaeonre acccuerac.emn saomese exasaem oens,eneroaon accurac.n some exames,enex vaue mae sna e comrsncurearameere ,euencearamee e a aarcuareve n some exames,erocessor marneeroae, or sceeaer. surrounne omaneerreceemaene , an mara cconaemaes eemae macnne .n some exames,erocess onucracona- e a-ereceemaes.n some exames,erocesor maneroae raconaemae macn asusraen., were ^^ rsor ma conuce ^^5,7 ^,5,7 ^an^ ^^5 ^reresenaxe.
Figure imgf000039_0001
eresensneerxe erocessonr s,o7me m exaam comes,uoe c aonrsucseancreaceonwaee-ne a ceumrrenaee mmacaen annee om,neerreceemae, comue severa seconsanceseweene a eracona-ereceemaes, comareerssan currenemae an sances,en an omareceemaeeano ce ane severa secon an arece corresonnoe omarec a mnmumemae macn cos, asenare eemae, an seerece meoor v.cons. aowcarusran a meoor veo encon corresonne neoecon as sownn..em e ,erocessor , ae se o an encoer, ma encoe a curren moe.aen s oom a curren con un coe wnraemae macnrecon un asee ex oanmnersa,er mocoeseso.rnra ma esn aco seec aa curnrernaermecaoen o m ao cuerrena c coones ornee.: . a maecsesreeconocrom a reconsrucear o a currenrame, wose-saeemae n some exan curr meenem es,e,a ree.rocessor ma oan an omaneerreceemae. conucn aemae maoccessor ma oane omaneerreceemae nnee ,,en errooccer eso ssc soe orssn a r m cu marre a on oaann ar.acnoanar-eecroencoreeem curraes. ase on asanceeweene currenemae ane omaneerrecen aneracona-erecee eemae onenrane ,erocemssoares. maransme curren as coease n som meo eeo aecoer. emaes anorxames,eracona-ereceemaes mancuea-encuea-eeumarear-ese,eumarear-ese.oermnsaaensc,e o,reoracaon-ae-eemreacese anemuaares maemaes.n some exames,erocessor ma use araco er-e oreracona-ereceemaes, wereerac na vaueeween an n some exames,erocessor ma sonnaa vaues oeran or. wereenex vauencaes anneroao annex vauen asream, maurer oaner n accurac.n some exames,erocessor accurac.n some acona-ereceemaesase oneneroaon cureara exames,enex vaue mae snae a aarcuareve comrsn nme soermee ex,euencearameere , or sceeaer. surrounn ames,erocessor maneroaeraconaemaes eemae mea omaneerreceemaene , an ma conucracona- e a-ereccnene .n some exames,erocessor maneroae raconae emaes.n some exames,erocessor ma conuce ^^5,7 ^,5,7 ^an mae macn asusraen., were ^
Figure imgf000040_0001
^ reresensneerxe n^ ^^5 s,o7m ree erxesaemneas,ox ceo. erocessor ma comue anrsuceracona-eemae macnne ,neerreceemae, co sanceeween a currenemae ane oma eracona-erecememuea seesv,er caom secaorneesanrcsesseawneceen ane cureren seveemraa seeco an sances,en an omareceemaeeano a mnmumemae macn cn an arece corresonnoe omareceemae, an seereceos, ornee.: . asenare exame o.cons. aowcarusran a meoor veoecon accorno an neeresen,scosure. con un erocessor , ae se o aecoer, ma oan a curren secanrare ccoe wnraemae macnrecon moe.nra s a currenrame, woseon- msoaeeaem coaees m aaecsesre a ccurroenneomcaroem a reconsrucear o a e exanmees,ero,rmenroceessor ma mam oroavne a . n som reurcaon o accureracc oonen carnaaes. onene ,erocessor ma oan a . ase nareconore curren canane su sorma we ex oaemre meas,c enon mae can cn co,a sees owr.oecessor ma searcor aura o canaes, anen seeceura o cranemae macn cos o oer canaes.n some exames,ee anaes aseura orecon o asoueeren mae macn coss mae measure w one o sum n somece exames o,r snume o suar,e ererorroce. wes corresonnoeura oreconssor ca ma oan aura o reconore curren ase oneura ornaes, an oanena ura o wes.n some exames,eroces econ canaes ane ase onxe mu-oessnra.n somseor ma oaneura o wes eura o wesase on aave m exames,erocessor ma oan o weson seom a reec exarmocaes o, annneeer,,u we- ereroocese ss aosrsnra num ma. se eac oeura canaes.ne examesescrensarar er oeura orecon ura o wesase onexe mu-oessna,erocessor oanse wesasen s oonm ae exuarame os,nemeae ma,cenr coocsess.sonrra some e m. xaam coems,ueeura o ma oan aura oreconemae macn coss oeuerocessor canaes, an oaneura o wesase oneurara or oreconemae macn coss.n some exames,eura oemae m econ measure w one o sum o asoueerence or acn coss mae examesescrensarara,ero sum o suare error .ne one aave mu-oessnra.cessor oanseura o wesase ornee.: . wes snna seomne a examsreeasm,n ane encoe,r.nereoc eexsasmoreses mca receveeura o rocessor oanseura o wesase one aarensarara,e . ve mu-oessnra wesasen s oonm ae exuarame os,nemeaes.n, somee erxoacmessoers,e ma oaneura o ura orecon emaes oeura orecornocesso cr ma oan a curren emae oe curren, an oaneura o anaes, oan a oreconemaes ane curren emae.n so wesase oneura ma oaneura o wesase oneur me exames,erocessor curren emae sovnener-o euaaon oreconemaes ane arara,erocessor oanseur s.ne examesescrens oessn a o wesase one aave mu- wes usnnr sa noomneo e. cxaam meaens,nerne ,erocessor ma oaneura o usne nonoca meane .n some exames,o oaneura o wes oneura or rn,erocessor ma oan aura osancesase wesase oneeucon canaes ane curren, an oaneura o roces ra osances an aeree o wen.n some exames,e examsor maurereermne a wen sren or sren o wen.ne one aesaescrensarara,erocessor oanseura o wesase ene annv x seo m amu wee ex-amo ne sse r,s enosnerea cramnne. aee ssre cn o wen,erocessor ma sren vaues, an seec aca we srenomrsn aura oca wen vauease on aa snaen asrea vaue as an oma wen sren ma receve an oma wen m.ernave or aona,erocessor sream. sren vaueene an encoer an snaen a oan aunr some exames,oeermnee sren o wen,erocessor ma oan a currea orecon emaes oeura orecon canaes, oneuran oemae oe curren, an esmaee sren o wenase n somer eexamcoens,oeemeaes ane curren emae. esmaee sren o wen urmnee sren o wen,erocessor ma o a curren emae oe curresnn a.nua snomzea exoanmareasm,eeerrocess voarue an m aa varuranceer ornee.: . cur aren reaonesmaeew oeenne sren o wen,e vaue, ane varance oe ecomosnon some exa ome n ae. ms,anrxeenera,erocessor maerorm snuar vaue an oanenareconase on reeromeura orecon canaes, n some exames,oerormsues oe,roremnrocesesor. rou marxase oneura orecon canaes,eror ma oan aoc rou marx, oan arsecomoson resu marx, a se me oneoc an arecomoson resu marx, conecomoson resu marx, seconecomoson oan aourecomoson resu marxrome ma resu marx,erorm annverse onersecomoson resu oarnx, aeeorueraeccomroous.on resouna ma,rnx, aense exeamres,ecoemroocsesosn resu marx, an enareconore curren ase oneereacrounore ma. oan resonn o some exames,oerorme ,erocessor ma a so- rocessor e mraaonu orneree seecrmonne aecomuraoso on resrueso manrx. vanu seosm ceor erxames,e aona eemens oe seconecomoson resu marx. esonno w n some exames,erocessor ma receve aa snaen asrea omeree exaemaesn,ceaersoceasso mru- moaes m, s usrnerra receve m aonense ax senaoeen curren.n wereenexncaes a mu-oessnra meo aeoe curesream, meoor v.s aowcarusran a meoor veo encon corresreonnn.e con unneoeeco ase o,n n ae as s nrnoocw raesnseomrn. ae, m a.e se o an encoer, ma encoe a curren secanrarecon moea coes aesacrnrecon moe.nra s a currenrame, wose-s econocrom a reconsrucear o a ne ,aeeroceemssorae ma mcaes o a caurnre anemae. n some exames,erormne mamrovura orecon canaes. ne ,erocessor ma oaenr aencaonr aeccurac oenra. ase oneur conore curren nea o,reecroocn canaes. onenra moeo aecoessor maransme curren as coease n some exames,nere. ,erocessor ma searcor aura o ornee.: . can caanes,a aens wen seemecaee maurcan o coso cwaneraaens aesmeaeu mraacn cos o oer canaes.n some exames,eemae macn coss m orecon o asoueerence or sum o suare ae measure w one o sum wes cornres soomne enxamoese,nurae o, er rerorrocess.or ma oan aura o r econ canaes, an oanena ueraconore curren ase oneura orecon canaes ane a o wes.n some exames,erocessor ma oaneura o wes eseu ornaxe o m wue-soasees osn anraav.n some exames,erocessor ma oan n some exa e mu-oessnra. o wesoe a recrmoes,ne ,erocessor ma se eac oeura canaes.n ca o anneer, weres a numer oeura orecon onexe ese exames,erocessor oanseura o wesase wesasen m su oonm- ae exuao rameses os,nnra eme. ae ma,cenr coocsess.sonr some e mxa comueeura o ma oan aura oreconemae macn cosames,erocessor canaes, an oaneura o wesase onse oueura oreconemae macn coss.n some exames,eura oemra orecon measure w one o sum o asoueerence ae macn coss mae examesescrensarara,er or sum o suare error .ne one aave mu-oessnra ocessor oanseura o wesase wesasn some exames,ne .,erocessor ma oaneura on ase oneura orecon canaes ane curren, an ma sna, roceream,eura o wes.ne examesescrensarara,e .ssor oanseura o wesase one aave mu-oessnra wesasen s oonme exames,ne ,erocessor ma oaneura o ur aura oemaes.n some exames,erocessor ma oan a curraen orecon emaes oeura orecon canaes, oan a oreconemaeem oaees c aunrrene cur,r aenn oaenmeaeu.ran som oe w exeamsesa,see ornoceessura marre onaneemuarae o so wvenseanseer- on or cu oe euuaraons. onree ecxaomneseemscraees annes ornee.: . araoraess,nerocessor oanseura o wesase one aave mu- wes usnnr sa noomneo e. cxaam meaens,nerne.n so,mee exraomcesseosr, ma oaneura o usn nonoca meanern,erocessor ma oo oaneura o wes eura orecon canaes ane curr an aura osancesase on ase oneura osances an aeree o wen, an oaneura o wes maurereermne a wen s en.n some exames,erocessor escrensarara,erocesren or sren o wen.ne exames aave mu-oe sor oanseura o wesase one n somessnra. ene anx exames,oeermnee sren o wen,erocessor ma sren vaues a, c wen sren canaes comrsn aura oca wen omzaon,eneceura oca wen sren vaues usn raesoron oma wen sre an oma wen sren vaue, an sna,n asream,e o n some exanme vsa,uoe.eermnee sren o wen,eroces oaann a a cururrean oemreaceo one cuermrenaes, o ane esumraae oe srreenc oonsor we canna m aseas, oneura oreconemaes an e n some exa e curren emae. esmaee sre mes,oeermnee sren o wen,erocessor ma o a curren nem oae w oee cnurr uesnn a.nua snomzea exoanmareasm,eeerrocess voarue an m aa varuance a reaonseweene sren o wen,e vaue, ane varancerer curren em oe ecomosnon somaee e oxa omne n ae. ms,anrxeenerae,reomroceessour maerorm snuar vaue an oanenareconase on resus oerra orecon canaes, rou marxn saosmee o enxameeusr,ao oerorremceon,or canemnraoecse,sesoer. rorm mea o oann aeooc rou marx, oan arsecomoson resu marx, a seconeco c an arecomoson resu marx, oan aou moson resu marx, seconecomoson resu mar recomoson resu marxrome marx,eour x,erorm annverse onersecomoson resu oan aereaeccomroous.on resouna ma,rnx, aense exeamres,ecoemroocsesosonr resu m maar ox, aann ornee.: . enarenc soomneore curren ase oneereacroune . reson oerao enxa omnese, seocoerorme ,erocessor ma a so- rocessor maurereernecomoson resu marx.n some exames,e aona eemens oe seconemcone aura oreson vaues corresonno wereean sonmeca exeasmaes m,ue-romcoesoss eosron res snra mua m rae mcr oex.vees a aae snoaee cnur arensrea.mn, s womeree exaemneesx,necaroecse ass moru- moaesusrnerr receve annex snaenesream, n some exam a meo aeoe curren.ncues arocess es,eresrove an aarausor veo con.e aaraus erocessor weorr an a memor conureo sorensrucons execuae an meo eerocessor, uon execuon oensrucons,s conureoerorm sorae men as u amnu c es omra moe rsmn nen a,. uerre- as. a osorororvames, aor n eoxna-mranse,orn coem muer-reaae execuae erocessor ne c emor , a omun envronmen ,orerormne eoscvre-eesc are meos anor sorn asreamenerae e encon meo exame,eoveu orr asreamoeecoe eecon meoescre aove.n one envronmen ao re ocerorams mae execue erocessor ne comun aa sreamncun encvoeor exame,rome veo encoern. asream or encoe veorames, ae veonormaonor exame, veoocs reresenn execue nor assocae one or more snax eemens, ec., an ma asoe meoescreer aocoevssor ne comun envronmen oerormeecon eura or e accornoe recevesream oraa sream.n anoer exame, oerormoream esn mae execue erocessor ne comun envronmen exame, veoocs rceorn meoescre aoveo encoe veonormaonor eemens, ec esenn veorames, anor assocae one or more snaxne comu.no asream oraa sream, an ma asoe execue erocessor e veoecone envronmen oransmesream oraa sreamor exame,o meum maavren..ernave,e non-ransor comuer-reaae soraenormaonor soreeren asream or aaa sream comrsn encoe veo one exame, veoocs reresenn encoe veorames, anor assocaen or. mor ues snn,axor e eexmamense e,c.e eennceorane me ano enceoscerreor a exoavmeoer, usee v aeoe ecnocoereror ornee.: . e rexaamaee, soera vee moeecuome mrane,or. examneec,o an v,e aoaana.ome nccoen-ransor comuer- - , a manecae, ao sc, an ocaaa soraeevces osreemore. , a escre an an emomen,eresrove asreamenerae e encon meo emomen,ove or asreamoeecoe eecon meoescre aove.n an e enc eresrove asream comrsn encoe veonormaonenerae econo mne moeoescre aove or encoe veonormaonoeecoe e rocessorsno arn ex eames mocr e,meeen a,ov rocee. essso arsorov ane ae c noomn-urannsevce comrsn one or more meum ore memor avn soreeren aur or comuer-reaae sorae one or morerocessors, weree one or a ororams execuae e rorams, are conure morerocessors, uon execuon oeura o n an emomoene,roremrese a asoove-roevscree a m ceos. nsruconsor sorae orransmsson o a omuerroramroucavn enerae e encon meoescr sream comrsn encoe veonormaon eecon meoescre aove.e aove or encoe veonormaonoeecoe roramrouc comrsn au n an emomen,eres asorove a comuer execuae erocessor rnae o crorams,or exame,ne memor , aove-escre meos.or exameomun envronmen ,orerormneransor comuer-reaae ,e comuerroramrouc mancuee non- or moren ans, emos,men, so aera coe nm me aurnum oce e. snsvronmen maememene w one evces nevces s,rorammaeoc eecronc comso,nens,os,rers, conroers, mcro-conroers, mcrorocessors, or oer n an emomenormne aove meos. comrsn sornesrea,m oeres asorove a meo o sorn asream, encoe veonormaonenn aa sorae meum, wereesreamncues veonormaonoeecoeerae e encon meoescre aove or encoe n an emomen,erees aescoornov meeo a meescoreor arove. enerae e encoerescre aove.n an emomen,eansmn asream or recevn asreamoeecoe eecoerescreres asorove a meo usraon aneses ncornoenn oeoeere esxenaussvceo osruremaeseoen ao erverse ee. sneneoscrosuurreo.sesan o ornee.: . m soncaeo anrs, vaavranonse, anene aer onaveeemacenmesnraesons we aarenoose o ornar e assocae eneneoreonescrons an eresennscersasw snecs.ca sae oerwse, an orer o ses oe meo accornooeresenoscsuorseurse o anre nonenmeeooeeu osrraerv se,e acncae seesscr oee a moeveo,u accorn cane accornoracca conons.n aon, aeas one oe s mae accornoeresenscosure mae ause, comne o es oe meo reuremens. reee accornoracca scosure ane eoxa emnaese were cosen anescren orero exanernces oememenao oers sene aro unersanescosureor varous va ns anoes uzee unernrnces an varousmemenaons w unreorusso mooacaeon scso ase a ore sueescoosureesar nocuoar uesem coneemoaee s.ecereore,soememenaonsscose ana mocaons an oermem c exames oe encue wne scoe oeresenscosure. enaons areneneo

Claims

orne e.: . o.a mnen,oo ar v: ecoeoer,e aco curnren, coemmrasne: nraemae mac o a curren con un coe w oann, nereecocero,n an om maone oann, eecoer,rac eerreceemae oann, eecoer ona-ereceemaes an eweene currenemae an, aen oamreacneoneore curren ase onsances receemaes. rreceemae an eracona-e eas one. oea m-eeoem o caaems or, wuaerreer-neeemracaoensa.-ereceemaes comrse a . e meo o c vauen ocaanesn an,nereoea acom one ar,,c au cunr raner ce c .xo vmaures snn:aen a sream, werenenex emaes. come mreseso: o cam, weren oann, eecoer,racona-erecenero oaoann anccu,rac.eecoer,eracona-ereceemaesase one comrs.nec muereoar oam ceaerme, were,neeuennceex vaaraumeeser senae a, a ora srcceuaeraeevre. rece.eme maeeso com o crasems:n, weeren oann, eecoer,eracona-e surroun roan, eecoer,raconaemaes wneree omaneerreceemae an conucn,n oeaencone,r,emeaeeco maerc,nes.nareconore curren comrses: emaes suerr moueo o cam, werenneroan, eecoer,eracona neroannn, e oeemcoaern,e eerrae-ceereemcaee ceommraseess.: ornee.: . macn.s coem merso o cam, weren conucn, eecoer,eemaeneer coremcun,e:eecoer, arssanceeween a currenemae ane oma erac coomnaue -ene,ma receeecoer, severa seconsanceseweene currenemae an coemnarnn,,ee eee ecm cooeera r,es , ane orsmasarnece ane severa seconsancesemae macn co ceemaeeano a mnmum e severa seconssancaese on a resu o comarn, eecoer,erssance anemae a s, an arece corresonnoe omarece senn, eecoer,erece asenarecon. en.co men,o aonr v enceoo eenr,c ao cunrre,n comersn: nraema mae o a curren con un coe w oanen ma,cne ernecocero,n moe oann, e enc an omaneerreceemae oann, eoer,racona-ereceemaes eweene currenem eanceo aer, anareconore curren ase onsances receemaes an ne omaneerreceemae aneracona-e moeor aansemcoenr., e encoer,e curren as coease onenra eas one o.ae m-eeoem oa ceasm or,u wareerre-neeemracaeosn.a-ereceemaes comrse a .e ncae ss annann m er,eo oaoe o n en c acccoam urearc, a, .nurneexr c voamuersnn a:sream, werenenex vaue .e meo o cam,urer comrsn: ornee.: .nero oaoann anccu,rac.e encoer,eracona-ereceemaesase one comrsn.ce mureeoara ome cearme, we,reenueencneeaxra vmaeueers senae, a or a sacrecueaarere.ve rece.emea mees coom or cseasm:n,e wroearenn o,anen e,ncoere, ernaccooenr,aeemracona-e surrounne omaneerreceemae aes conuc wne,ren oe eanncone,r,eme eaneco maerc,nes.na arneconore curren comrses: emaes surreo muneno oe c oamma,n weeerernrenecreoaemn,ae coem encoer,eracona neroan, e encoer, e a-ereceemraseess.: macn.e meo o cam, weren conucn, e encoer,eemaeneer cosm coumnrs,e:e encoer, arssanceeween a cu raconaore rrenemae ane oma c-mc eue rne e,ma ceee encoer, seconsanceseweene currenemae ane coemnarnn,,eem e e ennca coe oes err,, anerssance ane seconsances emae mac omareceemaeeano a mnmum e severa seconn cossancase on a resu o comarn, eecoer,erssance anemae an es, an arece corresonnoe omarece sen, e encoer,erece asenarecon. macn o.an mne,o aore vcoeeor, aec courrnen, c coomnrs unn: coease on annraemae oarennc,oneec mooere, aura orecon canaes an ornee.: . ore ocoannn, caneaeesc.oer, anareconore curren ase oneura rec o. onanen m ca,eo nae o ese ccaomer, a,uurraer c oom wresns: corresonnoeura o ura w oereren ocaonn, aneecoer, anareconore curren ase one oann,nee ccaoneraes comrses: ura orecon can,aees annaereucraono or wee currse.n ase one recon.e c maneoae os c coammrses,: weren oann, eecoer,eura o cosow seerarcanne,maee mecoer,or aura o canaes wemae macn can seeacesn., eecaocern, ceosu ora oe or can caanes.a aens aseura orecon one o sum. oe a mseouoe o ceraenmce, wer oern sume oem suaaree m erarocrn co.ss are measure w wes co.rrese moneno oo ceamura, w oererne ocaonnn, caneaeecso coerm,reura o sen eacur oae ourreac oon we casnoaee as. rec ses. a numer oe roca o anneer, werens wes.e meo o cam, weren oann, eecoer,eura o c coomrreusnon,noeeecouerra,e ourrecon canaes comrses: macn coss. a o wesase on aura oemae wes co.rrese moneno oo ceamura, w oererne ocaonnn, caneaeecsouerr,ere comurarses o: ornee.: . rec oonann can auaraes as oereurcaon oememaaee m maaccnn co csoss.s oeura o measure. we o mnee oo su om c oa amsou, weereenrenceeura o or suemm oa seu maraec errnor coss.s wes co.rrese moneno oo ceamura, w oererne ocaonnn, caneecoer,eura o r r.ecevn, eecoer, aes comrses: encoe eura o wes snaen asream an wes co.rrese moneno oo ceamura, w oeren oann, eecoer,eura o oann, eecoer,eurarec oo wne csanasea oens c aomurrases: oemaes. wes co.rrese moneno oo ceamur, weren oann, eecoer,eura o oann aura oreac oonrecemonaes o caneauersaur oer cromrses: canaes ase econ oa ura oemaes an wernenn a curren emae oe curren emaes com oann, eecoer,eura o wesase on aura o ane o curarennnrsese: emuraae. o wesase oneura oreconemaes wes co.rrese moneno oo ceamura, w oererne ocaonnn, caneaeecsouerr,ereura o oann, eecoer an usn nonoca meanern,eu croamr ose ws:es. meane.rne, meeoura o c oam we, ws ceoremn oann, eecoer an usne nonoca ane o curarennn a aunra osancesasers oesn:eura orecon canaes ornee.: . we on.anneura o wesase oneura osances an a sren o wes co.rree meo o cam, wereneore oann, eecoer,eura o comrsesonnoeura orecon canaes,e meourer es:ermnn, eecoer,e sren o wen. wen. come mreo o cam, wereneermnn, eecoer,e sren o urae onnc aanses: wexn,n sreeneco vaeur,e as wen sren canaes comrsn a sren se vaecuena,se one aecaoe sr,n aaecna a we an srea smre.n vaue as an oma wen wen. coe meo o cam, wereneermnn, eecoer,e sren o recevmnrses: encoer an sn,aene aecosreera,m an. oma wen sren vaueene an wen. come mreso o cam, wereneermnn, eecoer,e sren o rec oonann ca,es: naeeecoer, aura oreconemaes oeura o o esamnann,,es eeeccooeer,r, a curren emae oe curren an reconemaes ane curreen srenem o waee.nase oneura o wen.e meo o cam, wereneermnn, eecoer,e sren o es cmoamrses: vaue ann a v,arancee oec ao ceurr,rene srenem oa wee oen cu,r uresnn a.uanzaonarameer .e meo o cam,urer comrsn: ornee.: . ane varnan,ce oeee ccuorreenr,e seremnae o o wene.n, a reaonseweene vaue, ore cur.rene meaos o cam, weren oann, eecoer,enarecon erormn,ee onecoeeru,r sanu oar vraeuecoencomo csanonaes comrses: eneraeromeura orecon can on a marx . oann, eecoer,enareconaeasse an on resus oerormne marxen.eraee mero o cam, werenerormn, eecoer,e one oeraonrmnn aomoecerou oura n mear oxr ocaesec rou oonn mae c rxua ,rn aaa n o oes c anroem ncrs aoens: canaes resu marx, a seconecom rsecomoson oann aourecomososono rens ruesu ma mrax,r axnro arecomoson resu marx marx me seconecomoson resu ecomoesroornm rensu an mnavrerxs,e ane onourersecoecomoson resu marx,er ereacrou a moson resu marx, an oann a were conm orasnn,neecoer,enareconase one resus oerormne oanens:enareconore curren ase oneereacrou. rome s.econe meecoom oos caomn r, weren oanneourecomoson resu marx an so-resones ouer maaornx o cnomer sesecso:necomoson resu marx. seconec.omeo mseoon re osu ca mmarx, c womererns ane so-reson oeraon one e seconeermeconmno asounra resu o marersx.ones: vaues corresonnoaona eemens o .e meo o cam,urer comrsn: ornee.: . a mu rec-evon,essneraecoer, m aoeas s anaeeno ae csurrereanm, w.ereneancaes rec.even meo o cam,urer comrsn: ncaes a mu-,oeesesconerra, ann mexe sona aeenoees cruerarmen, wer.enenex enc.o mne,o anor e vncoeoer e,ncon, comrsn: macnrecon mo a curren con un ase on annraemae oann, e encoere ore ocoannn, ce encoer,, a anuarare ocorenocrone curr ceannaesase oneura moeor aansemcoena r.,naees en acnoer,e curren as coease onenra o.anen m,eoe o en ccaomer, a,uurer comrsn: reco ra o wes corresonnoeura o ura on oanren ca,na conees en a ccn aoner,aees annaereucraono or wee currse.n ase one recon.e c maneoae o cam, weren oann, e encoer,eura o sear s comrses: cosowercanne,maee e mnacocenr, cor aura o canaes wemae macn can seeacesn., e encoer,eosu ora oe or can caanesa anes aseura orecon one o sum. oe a mseouoe o ceraenmce, wer oern sume oem suaaree m erarocrn co.ss are measure w wes co.rrese moneno oo ceamura, w oererne ocaonnn, cane eanecso coerm,resesu.ra o ornee.: . a nume ser one eacur oae ourreac oon we casnoaee as. recroca o anneer, werens wes co.rrese moneno oo ceamura, w oererne oann, e encoer,eura o comun, e e con canaes comrses: macn coss. ncoer,eura o wesase on aura oemae wesa.see o mneeou ora cam oem, waeree mna cocmnu cnos,s come encoer,eura o oann aura oreconemae marses: recon canaes an cn coss oeura o macn o caosnsn.eura o wesase oneura oreconemae measure. we o mnee oo su om c oa amsou, weereenrenceeura o or suemm oa seu maraec errnor coss.s wes co:rreseo mneno oo ceamura, w oererne ocaonnn, ce encoer,eura o oann, e encoer anaes comrses: can ,eura o wesase oneura orecon snaaesn an,ee cu ernrceoner an ann asream,eura o wes. wes co.rrese moneno oo cam, weren oann, e encoer, nceoeurr,ae ourar eura o oann, e e ec oo wne csanasea oens c aomurrases: oemaes. wesa.see o mneeou ora cam, weren oann, e encoer,eura o oann aura o oreemaes comrses: canaes conemaes oeura orecon oann a curren emae oe curren an ornee.: . ane o curarennneemuraae. o wesase oneura oreconemaes wes co.rrese meo o cam, weren oann, e encoer,eura o oanno,nneo enceoeurr aan u osnre noncoocna mea cnanearnes,ureeru croamr ose ws:es. meane.rne, meeo o cam, weren oann, e encoer an usne nonoca oann auurraa o o wes comrses: ane curren sancesase oneura orecon canaes we on.anne anura o wesase oneura osances an a sren o wes co.rrese moneno oo ceamura, w oererneecoorne oa cnann,aes,e encoer,eura o comrse e meourer es:ermnn, e encoer,e sren o wen. wen. come mreo o cam, wereneermnn, e encoer,e sren o urae onnc aanses: wxn, e encoer, a wen sren canaes comrsn a c en sren vaues soronecn, e encoer,eura oca wen sren vaues usn rae e omzaon snnann,,e een ecnocoere arn, ann o amsar weaem,en o srmena we vauen an sren vaue. wen. coe meo o cam, wereneermnn, e encoer,e sren o rec oonanmnr ca,ses: ne encoer, aura oreconemaes oeura o oann,aees encoer, a curren emae oe curren an ornee.: . rec eosnmanem,aese a enncoee cr,urreen srenem o waee.nase oneura o wen. come mreseo o cam, wereneermnn, e encoer,e sren o va eusem anan a v,s: arancee e onc ao ceurr,rene srenem oa wee oen cu,r uresnn a.uanzaonarameer .n,e meeo en oco cear,m,urer comrsn: ane varance oe currene seremnae o o wene.n, a reaonseweene vaue, ore cur.rene meaose o o cnameu,ra wer oen orann, e encoer,enarecon eneraeerroormmne,urae en ocoreer, scnounar vae caunecoen acoems ao csanonaes com onr ase ms:arx . oann, e encoer,enareconasen on resus oerormne marxen.ere meo o cam, werenerormn, e encoer,e one oanane aromocerouura mar oxraesec oonne cuarnaa oes croemrses: erormne oneocrou mar con canaes resu marx, x, an oann arsecomoson oan an se aconourecoemcomoson resu marx, an arecomoson resu marx marx oson resu marxrome seconecomoson resu ecomoesroornm rensu an mnavrerxs,e ane onreercsomecoosmoons reosnu resu marx,eour e marx, an oann a werree con oacanrnou, ane encoer,enareconase one resus oerormne omarnsens:enareconore curren ase oneereacrou. orne e.: . rome s. e meo o cam , weren oann eour ecomoson resu marx aeconn soeco-mreossoonn res ouer maaornx o cnomer sesecso:n ecomoson resu marx. secon . e meo o cam , weren a n e so-reson oeraon one eeceormmnosno an reusrua ma orxreusroer cnom varuseess: e secon ecomoson resu marx. corresonnoaona eemens o a mu rec. -eve on m,eo essne o r ean ccoamer, m a, oeaur s ser an caoemr ens o an: e csurrereanm, w.ereneancaes rec.eve meo o cam ,urer comrsn: ncaes a mun-, oee esnsconerra, ann mexe sona aeenoees cruerarmen, wer.enenex on.e onr m aoraeraruoscesor veoecon, comrsn: execua a meemore o conue ores mooors ree a ro on cnees or morerocessors an conureo sorensrucons werene one or morerocessosros, conureoerorme meon anr osn,e u oon c eaxmecsu-on a on e-ns.rucons, are on.e onr m aoraeraruoscesosro vrse aon encon, comrsn: execua a memor coueoe one or morerocessors an conureo sorensruconsoero we rmereene o meen oe on oer n o mr a mor noe orero nerc ooecs cesso asros mr,ss, u-on a enxecu-on. o ensrucons, are conure orne e.: . e oxneec oura moe. ren cs no ormunc-ra uon ens rsor roace, c s wom soresnu ee oxre- ecre rua oeae rme o sno mera e ore o m moerne a cu nommo our ce s aror mrn soce c -sosom anrs,u cearu- -se.e execuae.ns norunc-raonnssora, c womuer-reaae sorae meumor sorn comuer- one or more comuerrocessoresn eoxeecruoerme on mee oro morne a cnom ou cearmrsoce-ssor asn, caus-e.e ecoe. neo mn-eranosonr an com o cuaerm-rsea-a ane sora-e. meumor sorn a sreamoe enerae. neo mn-eraonsnor an co om cuamers-rea-a ane so-ra.e meumor sorn a sream
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