a blind search for bursts of very high enery gamma rays with milagro

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  • 7/29/2019 A Blind Search for Bursts of Very High Enery Gamma Rays with Milagro

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    GHQTXGAT

    Tctfo ml dcqqoxtgtcm`: G QOGXAB LMX H_XQTQ ML \OXSBCIB O@OXIS IGEEG XGSQYCTB ECFGIXM

    \fgqcmq \gqcfocmu& Dmatmx ml ^bcfmqm~bs& 8>>2

    Dcqqoxtgtcm` dcxoatod hs: ^xmloqqmx Jmxdg` G. Immdeg`Do~gxteo`t ml ^bsqcaq

    Ecfgixm cq g ygtox%Aboxo`km| dotoatmx tbgt mhqox|oq tbo orto`dod gcx qbmyoxq

    ~xmduaod hs amqeca igeeg xgsq ml o`oxicoq O 7>> Io\. Tbo ooatc|o gxog ml

    Ecfgixm ~ogkq gt o`oxicoq O 7> T o\& bmyo|ox ct cq qtcff fgxio o|o` dmy` tm g loy

    bu`dxod Io\ " 7> e8 gt 7>> Io\#. Tbo ycdo ofd ml |coy " 8 qx# g`d bcib duts

    asafo "0 3>/# ml Ecfgixm egko ct cdogf lmx am`tc`umuqfs em`ctmxc`i tbo m|oxbogd

    qks lmx txg`qco t \oxs Bcib O`oxis "\BO# oecqqcm`q. Tbcq qtuds qogxabod tbo

    Ecfgixm dgtg lmx quab oecqqcm`q. O|o` tbmuib tbo qogxab ygq m~tceczod ~xcegxcfs

    lmx dotoatc`i tbo oecqqcm` lxme Igeeg%Xgs Huxqtq "IXHq#& ct ygq qtcff qo`qctc|o

    tm tbo oecqqcm` lxme tbo fgqt qtgioq ml tbo o|g~mxgtcm` ml ^xcemxdcgf Hfgak Bmfoq

    "^HBq# mx tm g`s mtbox kc`d ml ~bo`meo`g tbgt ~xmduao huxqtq ml \BO igeeg xgsq.

    Eogquxoeo`tq ml tbo IXH q~oatxg hs qgtoffctoq u~ tm loy to`q ml Io\ qbmyod `m

    qci`q ml g autm. O|o` tbmuib euftc~fo c`qtxueo`tq qo`qctc|o tm Io\-To\ igeeg

    xgsq bg|o ~oxlmxeod mhqox|gtcm`q ml IXHq& tboxo bgq `mt sot hoo` g do`ctc|o

    dotoatcm` ml quab g` oecqqcm` sot. M`o ml tbo xogqm`q lmx tbgt cq tbgt igeeg xgsq

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    yctb o`oxicoq O 7>> Io\ gxo gtto`ugtod hs c`toxgatcm`q yctb tbo ortxgigfgatca

    hgakixmu`d fcibt mx gxo ghqmxhod c`tox`gffs gt tbo qcto ml tbo huxqt. Tboxo gxo

    eg`s emdofq tbgt ~xodcat \BO igeeg%xgs oecqqcm` lxme IXHq. G dotoatcm` mx g

    am`qtxgc`t ml quab g` oecqqcm` ag` ~xm|cdo uqoluf c`lmxegtcm` m` tbo eoabg`cqe g`d

    o`|cxm`eo`t ml IXHq. Tbcq qtuds ~oxlmxeod g hfc`d qogxab ml tbo Ecfgixm dgtg ml

    tbo fgqt |o sogxq lmx huxqtq ml \BO igeeg xgsq yctb duxgtcm`q xg`ic`i lxme 7>> q

    tm 17< q. @m IXH fmagfczgtcm` ygq ~xm|cdod hs g` ortox`gf c`qtxueo t. C`qtogd& tbo

    ybmfo dgtgqot ygq tbmxmuibfs qogxabod c` tceo& q~gao& g`d duxgtcm`. @m qci`cag t

    o|o`tq yoxo dotoatod. _~~ox fcectq yoxo ~fgaod m` tbo \BO oecqqcm` lxme IXHq.

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    G QOGXAB LMX H_XQTQ ML \OXSBCIB O@OXIS IGEEG XGSQ YCTB ECFGIXM

    hs

    \fgqcmq \gqcfocmu

    Dcqqoxtgtcm` quhecttod tm tbo Lgaufts ml tbo Ixgdugto Qabmmf ml tbo_`c|oxqcts ml Egxsfg`d& Amffoio ^gxk c` ~gxtcgf lufffeo`t

    ml tbo xowucxoeo`tq lmx tbo doixoo mlDmatmx ml ^bcfmqm~bs

    8>>2

    Gd|cqmxs Ameecttoo:^xmloqqmx Jmxdg` G. Immdeg`& Abgcx-Gd|cqmx^xmloqqmx Ixoimxs Y. Quffc|g`^xmloqqmx E. Amfoeg` EcffoxDx. G`dxoy J. Qectb

    Dx. Jufco EaO`oxs

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    Am~sxcibt hs\fgqcmq \gqcfocmu

    8>>2

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    ^xolgao

    Tbo ~xcegxs ~ux~mqo ml tbcq qtuds cq tm dotoat tbo \oxs Bcib O`oxis "\BO#7

    oecqqcm` lxme Igeeg%Xgs Huxqtq "IXHq#. G qce~fo agfaufgtcm` ag` qbmy tbgt g`

    or~oatgtcm` ml quab g dotoatcm` cq `mt u`xogqm`ghfo hs Ecfgixm. Fot uq gqqueo tbgt

    IXHq oect tbo qgeo gemu`t ml cqmtxm~ca o`oxis " 7>?8 oxi# c` tbo ?> Io\7> T o\

    o`oxis hg`d gq tbos oect c` tbo 8> ko\ 1>> ko\ hg`d& tbo qgtoffcto dotoatmxq gxo

    qo qctc|o tm. Lmx g IXH gt g xodqbclt z >.7& tbcq oecqqcm` ymufd amxxoq~m`d tm

    g` o`oxis uo`ao ml

    7>4 oxi-ae8& g~~xmrcegtc`i tbo ghqmx~tcm` hs tbo ortxg%

    igfgatca hgakixmu`d fcibt "OHF# yctb g doaxogqo ml tbo `m`%ghqmxhod uo`ao hs

    ?>/. Cl tbo oecttod q~oatxue cq m` g ~myox fgy dcqtxchutcm` yctb c`dor %8.8& g`d cl

    tbo ghqmx~tcm` hs tbo OHF ag` ho g~~xmrcegtod gq g` or~m`o`tcgf q~oatxgf%hxogk gt

    g` o`oxis 2>> Io\& tbo` tbo g|oxgio ~bmtm` o`oxis xogabc`i tbo ogxtb ymufd ho

    71> Io\. Tboxolmxo& tbo c`amec`i o`oxis uo`ao ymufd amxxoq~m`d tm g ~gxtcafo

    uo`ao ml 7>4 oxi

    71>Io\ae8 ? 7>4~bmtm`q-ae8. Tbo q~oatxgffs%yocibtod ooatc|o

    gxog ml Ecfgixm lmx quab g qci`gf cq 7>< ae8. Tboxolmxo& 7>< ? 7>4 5 ?>>

    ~bmtm`q lxm tbo \BO oecqqcm` ml tbcq IXH ycff ho dotoatod hs Ecfgixm. Fot uq qgs

    tbgt tbo duxgtcm` ml tbo huxqt ygq 7>> q. Tbo gemu`t ml hgakixmu`d lmx g qce~fo

    hc``od qogxab tbgt uqoq g 8m 8m qwugxo hc` ycff ho ghmut 4>> hgakixmu`d o|o`tq

    lmx tboqo 7>> q& ic|o` tbgt tbo hgakixmu`d xgto ml Ecfgixm cq ghmut 7o|o`t doi8

    q7

    .

    Tbo ^mcqqm` aueufgtc|o ~xmghcfcts ml 4>> hgakixmu`d o|o`tq io`oxgtc`i g uatugtcm`

    gq hci gq 4>> + ?>> cq 7>7>8 mx 87 qtg`dgxd do|cgtcm`q. Tbcq ~xmhghcfcts cq emxo

    tbg` o`muib tm afgce g dotoatcm`.

    7 C` tbcq ymxk& |oxs bcib o`oxis amxxoq~m`dq tm tbo ?> Io\ 7>> T o\ o`oxis xg`io.

    cc

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    Tbo xqt abg~tox ml tbcq dcqqoxtgtcm` ycff ic|o g bcqtmxcagf mutfc`o ml IXH

    mhqox|gtcm q g`d ycff doqaxcho tbo tbomxotcagf emdofq or~fgc`c`i IXHq.

    IXH oecqqcm` bgq hoo` orto`qc|ofs mhqox|od c` Eo\ g`d fmyox o`oxicoq.

    Tboxo gxo euftc~fo tbomxotcagf emdofq tbgt ~xodcat tbgt IXHq gfqm oect c` tbo

    Io\-To\ o`oxis xg`io. Mhqox|gtcm`q ml tbo IXH q~oatxg u~ tm to`q ml Io\ bg|o

    qbmy` `m qci`q ml g autm. Bmyo|ox& mhqox|gtcm`q lmx tbocx O 0 ?> Io\ oecqqcm`&

    ~xm|cdo gt hoqt m`fs bc`tq ml quab g` oecqqcm`. Abg~tox 8 ycff ic|o g` m|ox|coy ml tbo

    tbomxotcagf emdofq ~xodcatc`i quab g` oecqqcm` g`d ycff ~xoqo`t tbo mhqox|gtcm`gf

    xoquftq tbgt qu~~mxt ctq orcqto`ao. M`o ml tbo xogqm`q ybs tboxo bgq `mt sot hoo`

    g do`ctc|o dotoatcm` ml tbo O 0 7>> Io\ oecqqcm` cq tbgt ct cq qtxm`ifs gtto`ugtod

    ybcfo ct txg|ofq tbxmuib tbo ortxgigfgatca q~gao. M`fs g qegff lxgatcm` ml tbo \BO

    oecqqcm` xogaboq tbo ogxtb& egkc`i ct |oxs dcfiauft tm dotoat. Tbcq ce~mxtg`t ooat

    cq doqaxchod c` Abg~tox 1.

    Tbcq qogxab cq m~tceczod ~xcegxcfs lmx dotoatc`i tbo \BO oecqqcm` hs IXHq.

    Bmyo|ox& ct ag` gfqm dotoat g`s ~bo`meo`g tbgt oect huxqtq ml \BO igeeg xgsq&

    quab gq tbo or~fmqc|o fgqt qtgio ml tbo o|g~mxgtcm` ml ~xcemxdcgf hfgak bmfoq. Tbo

    c`qtxueo`t uqod lmx tbcq qogxab& tbo Ecfgixm igeeg%xgs mhqox|gtmxs& cq `mt qo`qctc|o

    o`muib tm dotoat o|g~mxgtc`i ~xcemxdcgf hfgak bmfoq gt g ixogt dcqtg`ao. Bmyo|ox&

    tbo ~bo`meo`m` ygq oractc`i o`muib tbgt ygxxg`tod g qo~gxgto abg~tox "abg~. 4#

    lmx ctq doqaxc~tcm`.

    Tbo Ecfgixm igeeg%xgs mhqox|gtmxs cq ~xcegxcfs qo`qctc|o tm igeeg xgsq ml

    To\ o`oxicoq& hut ct gfqm bgq qmeo qo`qctc|cts dmy` tm 4> Io\. Ctq ycdo ofd ml

    |coy " 8 qx# g`d bcib duts asafo "0 3>/# egko ct cdogf lmx am`tc`umuqfs em`ctmxc`i

    ccc

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    tbo m|oxbogd qks lmx txg`qco t \BO oecqqcm`q. Ecfgixmq ~xc`ac~fo ml m~oxgtcm` g`d

    ag~ghcfctcoq ycff ho doqaxchod c` Abg~tox ?.

    Tbo Ecfgixm dgtg gxo qogxabod c` |gxcmuq ygsq lmx oecqqcm` lxme IXHq. M`o

    ygs cq tm ~oxlmxe qogxaboq c` amc`acdo`ao yctb IXH txciioxq ~xm|cdod hs ortox`gf

    c`qtxueo tq. Quab qogxaboq bg|o hoo` ~oxlmxeod& g`d o|o` tbmuib tbos xoquftod

    tm `m dotoatcm`q& tbos bg|o ~fgaod u~~ox fcectq m` \BO oecqqcm` m` tbo c`dc|cdugf

    ortox`gffs%dotoatod IXHq. G`mtbox ygs tm qogxab tbo Ecfgixm dgtg cq hfc`dfs& yctb%

    mut uqc`i g`s ortox`gf IXH fmagfczgtcm`. Tbcq qtuds tbmxmuibfs qogxabod tbo o`tcxo

    Ecfgixm dgtgqot c` qtgxt tceo& q~gao& g`d duxgtcm`. Abg~tox < ycff doqaxcho tbo

    gfimxctbe uqod g`d ame~gxo tbcq hfc`d qogxab yctb tbo mtbox kc`dq ml IXH qogxaboq

    ~oxlmxeod m` tbo Ecfgixm dgtg.

    Hoaguqo ml tbo qogxabq hfc`d `gtuxo g`d tbo fgxio orto`t ml tbo g`gfszod

    dgtgqot& tbcq qogxab ~oxlmxeod g fgxio `uehox ml txcgfq. Ybo` g qogxab am tgc q

    eg`s txcgfq& tbo` |oxs ce~xmhghfo uatugtcm`q ml tbo hgakixmu`d ag` g~~ogx gq xogf

    qci`gf. C` mxdox tm xoduao tbo xgto ml tboqo lgfqo ~mqctc|oq& tbo xowucxoeo`tq m` tbo

    qtxo`itb ml g dotoatod qci`gf bg|o tm ho c`axogqod. Tbcq& u`lmxtu`gtofs& fcectq tbo

    qo`qctc|cts ml tbo qogxab. Abg~tox 9 ycff ic|o g` m|ox|coy ml tbo qtgtcqtcaq uqod c`

    tbcq qtuds g`d ml tbo eotbmd hs ybcab lgfqo ~mqctc|oq yoxo g|mcdod c` tbcq qogxab.

    Tbcq qogxab ygq g qce~fo hc``od qogxab. M`o ml tbo ygsq ct ygq m~tceczod ygq

    hs gdjuqtc`i ctq hc` qczo tm tbo duxgtcm` g`d tbo o`oxis ml tbo qci`gf u`dox qogxab.

    Abg~tox 2 ycff doqaxcho tbcq m~tceczgtcm`.

    Gltox tbo ~xm~oxtcoq ml tbo qci`gf u`dox qogxab yoxo doqaxchod& g`d tbo ag%

    ~ghcfctcoq ml tbo Ecfgixm dotoatmx g`d ml tbo qogxab gfimxctbe yoxo agfaufgtod& tbo

    c|

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    qo`qctc|cts ml tbo qogxab amufd ho wug`tcod. Abg~tox 3 ycff ~xoqo`t tbo qo`qctc|cts ml

    tbo Ecfgixm dotoatmx tm tbo oecqqcm` lxme IXHq g`d ^HBq& g`d ycff qot Ecfgixmq

    ~xmq~oatq lmx dcqam|oxc`i quab g` oecqqcm`.

    Tbo `gf xoquftq ml tbo qogxab gxo doqaxchod c` Abg~tox 7>. _`lmxtu`gtofs&

    `m huxqtq ml \BO oecqqcm` c` tbo Ecfgixm dgtg yoxo dotoatod. G Em to Agxfm

    qceufgtcm` ml tbo IXH ~m~ufgtcm` ygq axogtod& ybcab bof~od tm ~fgao u~~ox fcectq m`

    tbo \BO oecqqcm` lxme IXHq. Q~oacagffs& tbo qceufgtcm` agfaufgtod tbo ~xodcatod

    `uehox ml IXHq Ecfgixm ymufd or~oat tm dotoat |oxquq tbocx \BO%oecqqcm` emdof.

    Hs ame~gxc`i tbo `uff xoquft ml tbo qogxab yctb tbo ~xodcatcm` ml tbo qceufgtcm`& qmeo

    ml tbo \BO%oecqqcm` emdofq yoxo orafudod. Tbo qceufgtcm` ml tbo IXH ~m~ufgtcm`

    g`d tbo xoquftc`i u~~ox fcectq gxo ~xoqo`tod c` 77.

    |

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    Dodcagtod tm es ~gxo`tq.

    |c

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    Gak`myfodieo`tq

    Lcxqt ml gff& C ymufd fcko tm tbg`k es ~gxo`tq Dcectxg g`d Cfcgq g`d es ixg`d%

    ~gxo`tq G`tm`cq g`d Zmc lmx ic|c`i eo tbo lmu`dgtcm`q tm ~uxquo es dxogeq. Tbg`k

    smu lmx egkc`i qtuhhmx`& lmx egkc`i eo qegxt& g`d lmx egkc`i eo g immd ~oxqm`.

    C ymufd fcko tm tbg`k es gd|cqmx Jmxdg` Immdeg` lmx hofco|c`i c` eo& g`d

    lmx gff bcq qu~~mxt g`d iucdg`ao bo bgq ~xm|cdod eo. Jmxdg` ygq gfygsq g|gcfghfo

    tm bof~ yctb g`s kc`dq ml ~xmhfoeq C bgd. Mhqox|c`i bce tguibt eo bmy tm ho g

    hottox amffghmxgtmx& g`d g hottox qaco`tcqt.

    C ymufd fcko tm ic|o g buio tbg`kq tm G`ds Qectb. G`ds g`d C q~o`t o`dfoqq

    bmuxq tgfkc`i ghmut Ecfgixm& igeeg%xgs gqtxm`mes& tbo `oy egahmmk& g`d ybs

    amyq dm`t fcko amx`. G`ds ygq g ~gtco`t g`d k`myfodioghfo togabox& gfygsq xogds tm

    qtg`d u~& ixgh tbo abgfk& g`d qtgxt dxgyc`i iuxoq g`d owugtcm`q m` tbo hfgakhmgxd

    tm or~fgc` tbc`iq. Ymxkc`i yctb bce ygq m`o ml tbo hciioqt xogqm`q lmx o`jmsc`i es

    ixgdugto sogxq ymxkc`i lmx Ecfgixm. C myo g hci ~gxt ml es quaaoqq tm bce.

    C ymufd gfqm fcko tm tbg`k Hxo`dg Dc`iuq g`d Iuq Qc``cq lmx tbo iucdg`ao&

    qu~~mxt& g`d am`qtxuatc|o axctcacqe tbos bg|o ic|o` eo. C ymufd fcko tm tbg`k

    Hxo`dg g`d Jufco EaO`oxs lmx hofco|c`i c` eo g`d lmx gatc|ofs txsc`i tm bof~ eo.

    Eg`s tbg`kq tm Hmh Offqymxtb lmx bcq |oxs uqoluf bof~ yctb es ^ET toqtq& g`d lmx

    gff tbo k`myfodio bo bgq qbgxod yctb eo. Tbg`kq tm Jce Fc``oeg`` lmx bcq gatc|o

    c`toxoqt c` tbo tbo EA qceufgtcm` g`d lmx gff tbo qtgtcqtcaq k`myfodio C bg|o fogx`od

    lxme bce. Tbg`k tm Ixoi Quffc|g` lmx hoc`i es gd|cqmx duxc i es xqt qoeoqtoxq

    gt Egxsfg`d. Tbg`kq tm tbo Ecfgixm g`d BGYA amffghmxgtcm`q lmx gffmyc`i eo tm

    |cc

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    ~xoqo`t tbo xoquftq g`d tbo qtgtuq ml tbo or~oxceo`tq gt `gtcm`gf g`d c`tox`gtcm`gf

    eootc`iq& g`d gt tbo @QL ~g`of xo|coy. Tbg`kq tm es u`doxixgdugto gd|cqmx c`

    Ixooao& Abxcqtmq Ofoltboxcgdcq lmx bof~c`i es yctb es xqt qto~q gq g qaco`tcqt.

    Yctbmut bcq bof~& C ecibt bgd `mt hoo` ghfo tm eo`tcm` ~fgaoq quab gq AOX@&

    _ED& Fmq Gfgemq& g`d @GQG c` es A\.

    Es lxco`dq g`d loffmy ixgdugto qtudo`tq bof~od egko es ixgdugto fclo g fmt

    ogqcox. Tbg`kq tm es lxco`d ^gtts g`d es xmmeegto Abgd& ybm egsho yoxo es

    m`fs qmacgf fclo duxc`i tbo xqt bgxd sogxq ml hoc`i g ixgdugto qtudo`t c` g lmxoci`

    amu txs. Tbg`kq tm es immd lxco`dq c` Ixooao E~ge~cq& Abxcqtmq& Zmc& Kckb& g`d

    Lmtoc`b ybm xoec`dod eo ml tbo immd tceoq hgak bmeo& g`d qu~~mxtod eo tbxmuib

    tbo bgxd tceoq boxo. Tbg`kq tm Dg|cd @msoq lmx hoc`i g immd lxco`d& g`d lmx gff

    tbo lu` `cibtq gt Ym`doxfg`d& \oigq& Fmq Gfgemq& ota. Tbg`kq tm es mtbox immd

    lxco`d lxme Ecfgixm Gmuq& yctb ybme C q~o`t g fmt ml lu` tceo gt xg`dme qabmmfq

    g`d eootc`iq gxmu`d tbo ymxfd "Oxcao& Eoxcdg& Eorcam Acts& Fmq Gfgemq& ota#.

    Ixootc`iq tm Ecfgixm ixgd qtudo`t g`d mfiao egto Huakfos& yctb ybme C o`jmsod

    qbgxc`i tbo mfiao& g`d tgfkc`i ghmut tbgt gqb doqktm~ igeo C lmximt ctq `geo.

    Ixootc`iq tm Ecfgixm amffghmxgtmxq g`d lxco`dq Auxtcq& ^ghfm& g`d Qghxc`g. Qbgeo

    tm Auxtcq lmx gfygsq hogtc`i eo gt Amu`toxqtxcko. Tbg`kq tm loffmy Egxsfg`doxq

    Bofc`g g`d Duqg`. Bofc`g cq g immd lxco`d& g`d g ~fogqg t g`d lu``s ame~g cm .

    Ixootc`iq tm tbo mtbox ixook ixgdugto qtudo`tq gt _ED& g`d oq~oacgffs Abxcqtmq&

    Kmqtgq& g`d Gfor.

    Lc`gffs& C ymufd fcko tm ic|o tbo hciioqt g|gcfghfo tbg`k smu tm Egxigxot.

    Duxc`i tboqo fgqt 8 sogxq& qbo ygq tboxo lmx eo q~o`dc`i o`dfoqq gemu`tq ml tceo

    |ccc

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    qbo amufd g`d amufd `mt gmxd. C dm`t k`my bmy es oemtcm`gf& eo`tgf& g`d

    ~bsqcagf qtgto ymufd bg|o hoo` gltox 1>> ~gioq ml dcqqoxtgtcm` yctbmut box. Box

    ~xoqo`ao egdo eo yg`t tm gaame~fcqb emxo& hoameo g hottox ~oxqm`& g`d egdo es

    fclo hogutcluf. Qbo cq tbo xogqm` tbgt C ycff ho qgsc`i c` to` sogxq: Gbb& ixgdugto

    qabmmf..immd tceoq....

    cr

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    Tghfo ml Am`to`tq

    Fcqt ml Tghfoq rccc

    Fcqt ml Lciuxoq rc|

    Fcqt ml Ghhxo|cgtcm`q rrcr

    7 Igeeg%Xgs Huxqtq 77.7 C txmduatcm` . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77.8 Bcqtmxs ml IXH Mhqox|gtcm`q . . . . . . . . . . . . . . . . . . . . . . 4

    7.8.7 Tbo xqt sogxq "739# . . . . . . . . . . . . . . . 787.8.4 Qyclt "8>>4 % ~xoqo t# . . . . . . . . . . . . . . . . . . . . . . . 74

    7.1 Tbo IXH Emdof . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8>7.1.7 C``ox o`ic`o ml IXHq . . . . . . . . . . . . . . . . . . . . . . . 847.1.8 Oecqqcm` eoabg cqe . . . . . . . . . . . . . . . . . . . . . . . 8?7.1.1 Xofgtc|cqtca or~g`qcm` . . . . . . . . . . . . . . . . . . . . . . 8

    7.1.?.7 Fm`i IXH%qu~ox`m|g am``oatcm` . . . . . . . . . . . 11

    8 \BO Oecqqcm` lxme IXHq 1?

    8.7 C txmduatcm` . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1?8.8 Qogxaboq lmx \BO Oecqqcm` lxme IXHq . . . . . . . . . . . . . . . . . 18.4.8 Ghqmx~tcm` ml tbo oecqqcm` lxme ortox`gf qbmakq . . . . . . . . ?7

    1 Ghqmx~tcm` ml tbo \BO Oecqqcm` lxme IXHq hs tbo OHF ??1.7 C txmduatcm` . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ??1.8 Tbo OHF . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ??.7 C txmduatcm` . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2>?.8 Ixmu`d%Hgqod Igeeg%Xgs Dotoatmxq . . . . . . . . . . . . . . . . . . 27?.1 Dotoatmx Doqaxc~tcm` . . . . . . . . . . . . . . . . . . . . . . . . . . . 287>.7 C`txmduatcm` . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8>87>.8 Dgtg Qge~fo . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8>87>.1 Ooatc|o @uehox ml Txcgfq . . . . . . . . . . . . . . . . . . . . . . . . 8>?7>.4 Xoquftq . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8>3

    77 _~~ox Fcectq m` tbo ^xme~t \BO Oecqqcm` lxme IXHq 87977.7 C`txmduatcm` . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87977.8 IXH Duxgtcm` Dcqtxchutcm` . . . . . . . . . . . . . . . . . . . . . . . 88>77.1 Xodqbclt dcqtxchutcm` . . . . . . . . . . . . . . . . . . . . . . . . . . . 888

    77.1.7 C`txc`qca xodqbclt dcqtxchutcm` ml fm`i IXHq . . . . . . . . . . 88177.1.8 C`txc`qca xodqbclt dcqtxchutcm` ml qbmxt IXHq . . . . . . . . . . 81>77.1.1 ^ogk%fuec`mqcts lu`atcm` . . . . . . . . . . . . . . . . . . . . . 81177.1.4 Lfur%fcectod qofoatcm` lu`atcm` . . . . . . . . . . . . . . . . . . 81377.1.? Xodqbclt dcqtxchutcm` ml dotoatod IXHq . . . . . . . . . . . . . 848

    77.4 Cqmtxm~ca%Owuc|gfo`t Oecttod O`oxis . . . . . . . . . . . . . . . . . . 84177.? IXH Xgtoq . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84277.< Emdof lmx \BO Oecqqcm` lxme IXHq . . . . . . . . . . . . . . . . . . 84377.9 \oxcagtcm` ml tbo IXH Qceufgtcm` . . . . . . . . . . . . . . . . . . . 8?>77.2 Xoquftq . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8?.7 Dgtg lmx tbo tym o|o tq yctb ~mqt%txcgfq ~xmhghcfctcoq foqq tbg` >.>7. . 87"T3># lmx HGTQO g`d Qyclt IXHq. . . 888

    77.8 ^gxgeotoxq uqod c` tbo qceufgtcm` ml tbo IXH ~m~ufgtcm . . . . . . . 8?8

    77.1 _~~ox fcectq gt tbo 3>/ am`do`ao fo|of m` tbo xgtcm X lmx dcox%o`t |gfuoq ml tbo q~oatxgf c`dor g`d tbo egrceue oecttod o`oxis

    O\ BO&egr ml tbo \BO oecqqcm` lxme IXHq& g`d tbo u~~ox eotgffcactsfcect Zegr. Tboqo xoquftq gxo lmx tbo agqo tbgt gff IXHq oect c` |oxsbcib o`oxicoq. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

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    Fcqt ml Lciuxoq

    7.7 Amqemfmicagf am tort ml IXHq. Am txgxs tm wugqc%qtoffgx mhjoatq&igeeg%xgs huxqtq ag` bof~ uq ~xmho tbo ~xm~oxtcoq ml tbo u`c|oxqo gqogxfs c` tceo gq tbo o~mab ml xocm`czgtcm`. Qmuxao: [7U . . . . . . . . . 8

    7.8 Qaboegtca ml tbo |gxcmuq o |cxm`eo`tq c`toxqoatod hs g IXH fc`o mlqcibt. Tbo IXH oecqqcm` ~gqqoq tbxmuib tbo acxaueqtoffgx eodcue"AQE# gxmu`d tbo IXH ~xmio ctmx; tbo qtgx%lmxec`i xoicm` qux%xmu`dc`i tbo IXH "BCC Xoicm`& B8 Afmud#; tbo gehco`t c`toxqtoffgx

    eodcue "CQE# ml tbo bmqt igfgrs; tbo hgxsm`ca bgfm ml tbo igfgrs"Bgfm igq#; g`d tbo c`toxigfgatca eodcue "CIE# hotyoo` tbo ogxtbg`d tbo IXH. Tbo ghqmx~tcm` logtuxoq ce~xc`tod m` tbo IXH qci`gfgq ct ~gqqoq tbxmuib tboqo xoicm`q ag` xo|ogf c`lmxegtcm` ghmut tbocxdo`qcts g`d ame~mqctcm`. Qmuxao: [8U . . . . . . . . . . . . . . . . . . 4

    7.1 @uehox ml IXH%xofgtod xoloxood ~uhfcagtcm`q ~ox sogx. Qmuxao: [1U . . ?

    7.4 Fcqt ml or~oxceo`tq qo`qctc|o tm IXHq g`d g~~xmrcegto `uehoxq mldotoatod IXHq "gq ml ogxfs Egs 8>>2#. Qmuxao: [4U . . . . . . . . . . . 4 IXHq dotoatod hs HGTQO c` igfgatca am%mxdc`gtoq. Tbo ~fg`o ml mux igfgrs cq gfm`i tbo bmxczm`tgf fc`o gttbo ecddfo ml tbo iuxo. Tbo cqmtxm~ca dcqtxchutcm` ml IXHq c` q~gaoce~fcod tbgt IXHq gxo emqt fckofs amqemfmicagf qmuxaoq. Qmuxao: [?U . 2

    7.< Fcibt aux|oq ml qmeo ml tbo IXHq dotoatod hs HGTQO. Tbo fcibtaux|oq ml IXHq qbmy ixogt |gxcghcfcts g`d dc|oxqcts. Qmuxao: J. T.Hm``off "@GQG-IQLA# . . . . . . . . . . . . . . . . . . . . . . . . . 3

    7.9 Duxgtcm` "T3># dcqtxchutcm` ml tbo IXHq dotoatod hs HGTQO. Tym~m~ufgtcm`q ml huxqtq& qo~gxgtod gt T3> 8 q& ag` ho qoo`. Qmuxao: [

    7.2 Bgxd`oqq xgtcm |oxquq duxgtcm` "T3># lmx HGTQO IXHq. Qbmxt huxqtq"T3> 8 q# bg|o bcibox bgxd`oqq xgtcmq tbg` fm`i huxqtq "T3> 8 q#&qu~~mxtc`i tbo bs~mtboqcq tbgt qbmxt g`d fm`i huxqtq am`qtctuto tymqo~gxgto ~m~ufgtcm`q& ~xmhghfs mxcic`gtc`i lxme dcoxo`t ~xmio`ctmxq.Qmuxao : [9U . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77

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    7.3 Dcqtxchutcm`q ml tbo Hg`d lu`atcm` ~gxgeotoxq lxme tq tm tbo q~oatxgml hxcibt HGTQO IXHq. Folt: Fmy%o`oxis q~oatxgf c`dor g& ecddfo:hxogk o`oxis O>& xcibt: bcib%o`oxis q~oatxgf c`dor . Tbo u`ctq m`tbo S groq gxo `uehox ml huxqtq. Qmuxao: [2U . . . . . . . . . . . . . . 77

    7.7> Orge~fo ml g t tm tbo q~oatxue ml IXH377789 uqc`i tbo Hg`d lu`a%tcm`. Boxo 5 >.3.>88 g`d 5 8.489 >.>9. Qmuxao: [3U. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78

    7.77 Dcoxo`t ~mqqchfo hxmgdhg`d qs`abxmtxm` q~oatxg lxme g xofgtc|cqtcahfgqt yg|o tbgt gaaofoxgtoq tbo ofoatxm`q tm g ~myox%fgy dcqtxchutcm`ml o`oxicoq "@ ~& yctb tbo Fmxo`tz lgatmx ml tbo ofoatxm`q#.Tbo dcoxo`t q~oatxg gxo fghofod 7? lxme tm~ tm hmttme. Dcoxo`tqotq ml ~bsqcagf am`dctcm`q amxxoq~m`d tm dcoxo`t mxdoxc`iq ml tbohxogk lxowuo`acoq: tbo ec`cegf qs`abxmtxm` lxowuo`as ml tbo fogqto`oxiotca ofoatxm` eu& tbo qofl%ghqmx~tcm` lxowuo`as qg& g`d tbo ts~%

    cagf qs`abxmtxm` lxowuo`as ml g` ofoatxm` ybmqo ammfc`i tceo owugfqtbo ds`gecagf tceo ml tbo qsqtoe a. Tbo qcecfgxcts ml tboqo q~oatxgtm tbo q~oatxue ml tbo ~xme~t oecqqcm` lxme IXHq ce~fcoq tbgt tbofgttox cq emqt fckofs qs`abxmtxm` xgdcgtcm . Qmuxao: [7>U. . . . . . . . 7& amxxoq~m`dq tm tbo o`d ml tbo ~xme~toecqqcm`. Lmux ~myox%fgy fcibt%aux|o qoieo`tq tmiotbox yctb g gxc`iame~m`o`t gxo cdo`tcod c` tbo gltoxifmy ~bgqo. Tbo ame~m`o`tqegxkod yctb qmfcd fc`oq gxo tbo emqt ameem`& ybcfo tbo m`oq egxkodyctb dgqbod fc`oq gxo mhqox|od c` m`fs g lxgatcm` ml tbo huxqtq. Tbots~cagf q~oatxgf c`dcaoq ml tbo ~myox%fgy doags gxo qbmy` lmx ogabqoieo`t. Tbo hxogk hotyoo` xoicm`q CCC g`d C\ maauxq qceuftg`omuqfslmx gff mhqox|od lxowuo`acoq "gabxmegtca hxogk# g`d cq xofgtod tm tbolgat tbgt tbo IXH oecqqcm` ameoq lxme xofgtc|cqtca jotq. Qmuxao: [78U . 72

    7.74 Xodqbclt dcqtxchutcm`q ml IXHq dotoatod hs Qyclt g`d ml IXHq do%toatod hs ~xo%Qyclt qgtoffctoq. Tbo g|oxgio xodqbclt ml tbo Qyclt qge~focq bcibox tbg` xodqbclt ml tbo ~xo|cmuq mhqox|gtcm`q "8. 1 |q 7. 8#&hoaguqo ml tbo ixogtox qo`qctc|cts ml Qyclt tm dcqtg t IXHq. Qmuxao:[71U . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73

    7.7? Qkotab qbmyc`i tbo ~xmaoqq fogdc`i tm tbo lmxegtcm` ml g IXH. Qmuxao:[74U . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8>

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    7.7< G bs~ox%xofgtc|cqtca jot " 8>># hxogkc`i mut lxme tbo eg`tfo ml g7?E Ymfl%Xgsot qtgx& 2 q gltox ct ygq fgu`abod lxme `ogx tbo qtgxqao`tox. Tbo jotq fuec`mqcts cq 1 7>?> oxi-q. Qmuxao: [78U . . . . . . 88

    7.79 Amffg~qo g`d or~fmqcm` c` g 74 qmfgx egqq Ymfl%Xgsot qtgx. Folt: Tbo

    cxm` amxo ml g bcibfs o|mf|od qtgx amffg~qoq tm g hfgak bmfo. Egtoxcgfgfm`i tbo xmtgtcm`gf grcq lgffq c` wucakfs& hut egttox c` tbo owugtm%xcgf ~fg`o cq qfmyod hs xmtgtcm` g`d ~cfoq u~ c` g dcqk. Boxo amfmxxo~xoqo`tq fmi do`qcts gt g tceo 8> qoam`dq gltox tbo c`ctcgf amffg~qo&g`d tbo bciboqt do`qcts c` tbo owugtmxcgf ~fg`o `ogx tbo hfgak bmfo cq3 7>2 i-ae1. Tbo iuxo cq 72>> ke gaxmqq& g`d tbo c``ox hmu`d%gxs cq gt 71 ke. G hfgak bmfo ml 4.4E bgq lmxeod g`d bgq hoo`gaaxotc`i >.7 E-q lmx tbo fgqt 7? qoam`dq. Duxc`i tbcq tceo& egi`o%tmbsdxmds`gecagf ~xmaoqqoq "`mt c`afudod c` tbo qceufgtcm`# ymufdfgu`ab g jot gfm`i tbo xmtgtcm`gf grcq. Xcibt: G IXH qu~ox`m|g. Gtym%ame~m`o`t jot ygq c`txmduaod gt tbo mxcic` gfm`i tbo tm~ g`d

    hmttme groq ml g qtgx qcecfgx tm tbo m`o ghm|o. M`o ame~m`o`tbgd 7>?7 oxi-q& Fmxo tz lgatmx 5 ?>& g`d g` c`tox`gf o`oxis tmegqq xgtcm ml 1. Ctq m~o`c i g`ifo ygq ghmut 7>m. G qoam`d ame~m%`o`t ml ecfdfs xofgtc|cqtca egttox orto`dod lxme 1>m 4?m g`d bgd~myox ? 7>?> oxi-q g`d q~ood 74 7>1 ke-q. Ctq ame~mqctcm` g`d~xm~oxtcoq xooatod tbmqo or~oatod lmx g dcqk yc`d hfmyc`i m tbogaaxotcm` dcqk hs |cqamuq ~xmaoqqoq. Tbcq iuxo& 8 7>? ke gaxmqq&qbmyq am`dctcm`q >.34 q gltox tbo jot ygq fgu`abod. Hmtb myq gxobsdxmds`gecagffs lmauqod tmygxdq tbo xmtgtcm`gf grcq. Cegioq g`dag~tcm` lxme [78U. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81

    7.72 Qkotab qbmyc`i bmy tbo xofgtc|cqtca hogec`i amehc`od yctb amffc%egtod egttox oecqqcm` ~xmduaoq g` gabxmegtca q~oatxgf hxogk c` tbogltoxifmy aux|o ml IXHq. Qmuxao: [74U . . . . . . . . . . . . . . . . . . 83

    7.73 IXH o`oxiotcaq: dcqtxchutcm` ml tbo cqmtxm~ca%owuc|gfo t oecttod o`%oxis lmx g qofoatcm` ml IXHq yctb k`my` xodqbcltq "tm~#& dcqtxchutcm`ml tbo iomeotxs%amxxoatod oecttod o`oxis lmx tbo qgeo IXHq "hmt%tme#. Gxxmyq gxo ~fmttod lmx |o IXHq tm c`dcagto fmyox mx u~~oxfcectq tm tbo iomeotxs%amxxoatod o`oxis. Qmuxao: [78U . . . . . . . . . 17

    8.7 Qkseg~ ml tbo o|o tq dotoatod hs Ecfgixctm c` amc`acdo`ao yctb IXH39>479.Tbo 72%o|o`t uatugtcm` c` tbo qkseg~ bgd g ~xmhghcfcts ml m`fs7.? 7>1 ml hoc`i g eoxo uatugtcm` ml tbo hgakixmu`d& ce~fsc`itbgt ct ecibt bgd hoo` io`oxgtod hs g igeeg%xgs oecqqcm`. Qmuxao:[7?U . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12

    8.8 O|o tq dotoatod hs OIXOT lxme IXH39>879. OIXOT dotoatod g72 Io\ ~bmtm` 3> ec` gltox tbo IXH. Qmuxao: [7

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    8.1 Tbo amehc`od q~oatxue ml IXH347>79 eogquxod hs HGTQO g`dOIXOT gt dcoxo`t tceoq xofgtc|o tm tbo HGTQO txciiox& g "72& 74 q#&h "74& 49 q#& a "49& 2> q#& d "2>& 771 q#& g`d o "771& 877 q#. Qmuxao: [79U . 4>

    8.4 Qs`abxmtxm` g`d QQA xgdcgtcm` ~xmduaod gt c tox`gf qbmakq lmx dcox%

    o`t lxgatcm`q ml tbo jotq o`oxis agxxcod hs tbo egi`otca ofd H: hfgakH 5 >.11& xod H 5 7>8& hfuo H 5 7>4. Boxo 5 >& o 5 >.171& f 5 >.2& g`d tbo IXH bgq g xodqbclt z 5 7. Tbo agfau%fgtcm` cq lmx g fmy%m~gacts xohgff. Tbo bcibox H cq& tbo qegffox tbolxgatcm` ml tbo ofoatxm`q o`oxis dcqqc~gtod tbxmuib c`|oxqo Ame~tm`qagttoxc`i. Qmuxao: [72U . . . . . . . . . . . . . . . . . . . . . . . . . . 4>& t 5 7>8q&f 5 8.?#& xod fc`o: " 5 >& t 5 7>4q& f 5 >.77i-ae& dmttod: or~g`qcm` c`tm g yc`d yctbG 5 ? 7>77i-ae yctb tbo am`txchutcm` lxme ~cm` doagsq g`d ~xmtm`qs`abxmtxm` oecqqcm` mecttod. Tbo am`txchutcm` ml ~cm` doagsq g`d

    ~xmtm` qs`abxmtxm` oecqqcm` cq `oifcichfo lmx tbo agqo ml or~g`qcm`c`tm g` CQE. Boxo o 5 7>7& H 5 7>8& ~ 5 8& 5 7>8.?& g`d z 5 7.@m ghqmx~tcm` ooatq tbxmuib c`toxgatcm`q yctb tbo OHF yoxo g~~fcod"qoo abg~. 1#. Qmuxao: [73U . . . . . . . . . . . . . . . . . . . . . . . . 43

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    8.2 Qs`abxmtxm` g`d c`|oxqo%Ame~tm` xgdcgtcm` ~xmduaod gt ortox`gfqbmakq lmx dcoxo`t kc`dq ml acxauehuxqt eodcg g`d lxgatcm`q ml tbotboxegf o`oxis agxxcod hs tbo ofoatxm`q o g`d tbo egi`otca ofd h.Tm~: or~g`qcm` c`tm g fmy do`qcts CQE& hmttme: or~g`qcm` c tm gqtoffgx yc`d. Qmfcd: "o 5 7>

    ?& h 5 7>?#& dgqbod: "o 5 7>7&

    h 5 7>8#& dgqb%dmttod: "o 5 7>7& h 5 7>4#. Boxo ~ 5 8& 5 7>8.?& z 5 7. @m ghqmx~tcm` ooatq lxme c`toxgatcm`q yctb tboOHF yoxo g~~fcod "qoo abg~. 1#. Qmuxao: [73U . . . . . . . . . . . . . . ?1

    8.3 O`oxis%do~o`do t m~tcagf do~tbq lmx ~gcx ~xmduatcm` g`d qagttoxc`i.Qmfcd fc`oq "t 5 7>? q& 5 1>>& f 5 8?>>#& dgqbod hfgak fc`oq"t 5 7>4 q& 5 1>>& f 5 8?>#& dgqbod xod fc`oq "t 5 7>4 q& 5 7>>>& f 5 >. O`oxis%do~o`do t m~tcagf do~tbq lxme ~gcx ~xmduatcm`. Qmfcd fc`o:or~fmqcm` c`tm tbo c`tox%qtoffgx eodcue& dgqbod fc`o: or~fmqcm` c`tm g

    qtoffgx yc`d. Qmuxao: [73U . . . . . . . . . . . . . . . . . . . . . . . . . ?4

    1.7 Qaboegtca OHF q~oatxue gq g lu`atcm` ml yg|ofo`itb. Tbo OHFam qcqtq ml tym kc`dq ml fcibt: xodqbcltod qtgxfcibt "hfuo fc`o# g`dqtgxfcibt ghqmxhod g`d xoecttod hs duqt "xod fc`o#. Tbo dgqbod fc`oamxxoq~m`dq tm tbo amqeca ecaxmyg|o hgakixmu`d& ybcab cq qbmy`boxo m`fs lmx ame~gxcqm` ~ux~mqoq& qc`ao ct cq `mt am`qcdoxod ~gxt mltbo OHF. Qmuxao [8>U . . . . . . . . . . . . . . . . . . . . . . . . . . . ?9

    1.8 Ame~gxcqm` hotyoo` tbo |gxcmuq ~xodcatcm`q m` tbo ~xoqo`t%dgs OHF

    do`qcts g`d tbo mhqox|gtcm`gf am`qtxgc`tq. Hfgak qmfcd aux|oq qbmy tbo~xodcatcm`q lxme dcoxo t OHF emdofq. Ixos egxkoxq gxo eogquxo%eo`tq g`d fcectq lxme dcxoat eogquxoeo`tq& uatugtcm` g`gfsqoq& g`dqmuxao amu`tq. Xod aux|oq gxo u~~ox fcectq doxc|od lxme \BO hfgzgxigeeg%xgs q~oatxg. _~~ox folt: emdof lxme ^xcegak ot gf. [87U. _~%~ox xcibt: lgqt o|mfutcm` g`d hgqofc`o OHF emdofq lxme Qtoakox ot gf.[88& 81U. Fmyox folt: bcib g`d fmy 8>>4 emdofq lxme K`ocqko ot gf.[84U. Fmyox xcibt: io`oxca OHF emdof lxme Xguo` , Egzc`[8?& 8< emdof. . . .

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    1.? O`oxis dcqtxchutcm` ml o|o tq ~gqqc`i tbo txciiox g`d aut axctoxcg |ox%quq tbo xodqbclt ml tbo qmuxao. Gt fogqt 8> ^ETq yoxo xowucxod tm~gxtcac~gto c` tbo g`iufgx xoam`qtxuatcm` tq& g`d tbo egrceue ox%xmx c` tbo xoam`qtxuatod g`ifo lmx tbo gaao~tod o|o`tq ygq 7.?m. Tboo`oxicoq gxo lmx tbo mhqox|ox xoloxo`ao lxgeo. Tbo IXH cq gqqueod

    tm oect \BO igeeg xgsq c` tbo 7> Io\ 7>> T o\ o`oxis xg`io"huxqt lxgeo# m` g ~myox%fgy q~oatxue yctb c`dor g5%8.8 g`d lxmeg zo`ctb g`ifo 7>m. K`ocqkoq hoqt%hct>< emdof ygq uqod tm agfaufgtotbo ghqmx~tcm` hs tbo OHF. Tbo `mxegfczgtcm` ml tbo ~fmt cq gxhctxgxs. < emdof ygq uqod tmagfaufgto tbo ghqmx~tcm` hs tbo OHF. . . . . . . . . . . . . . . . . . . T o\. Tbo q~oatxg qbmy` gxo hgqod m` tbo emdofqhs Boakfox[82U& Kg~uqtg[83U& g`d EgaIchhm` g`d Yohhox[1>U. Lmxxoloxo`ao& tbo dcxoat ~bmtm` Bgykc`i xgdcgtcm` cq gfqm qbmy`. Qmuxao[17U. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9U. Lmxtbo EgaIchhm`%Yohhox ~fmt& Oec` 5 7>> Io\ ygq uqod. Qmuxao [17U 99

    4.1 ^bmtm` q~oatxg ml tbo oecqqcm` lxme g hfgak bmfo yctb c`ctcgf toe~ox%gtuxo T 5 7> T o\& c toixgtod m|ox ctq fclo. Tbo q~oatxg qbmy` gxohgqod m` tbo emdofq hs Boakfox [82U& Kg~uqtg [83U& g`d EgaIchhm`g`d Yohhox [1>U. Lmx xoloxo`ao& tbo dcxoat ~bmtm` Bgykc`i xgdcgtcm`cq gfqm qbmy`. Qmuxao [17U . . . . . . . . . . . . . . . . . . . . . . . . 92

    ?.7 ^xc ac~fo ml m~oxgtcm` ml g` Cegic`i Gtemq~boxca Aboxo`km| Tofo%qam~o. G amqeca igeeg xgs c toxgatq gt tbo tm~ ml tbo gtemq~boxoaxogtc`i g` OGQ. Tbo gcx qbmyox am`tgc`q tbmuqg`dq ml o`oxiotca ofoa%

    txm`q g`d ~mqctxm`q tbgt oect Aboxo`km| fcibt. Fgxio tofoqam~oq m`tbo ixmu`d dotoat tbcq fcibt g`d xoam`qtxuat tbo qbmyox g`d tbo ~xm~%oxtcoq ml tbo ~xcegxs igeeg xgs tbgt aguqod ct. Qmuxao: [18U . . . . . 21

    ?.8 G am`ao~tugf cegio do~catc`i tbo ygtox%Aboxo`km| toab`cwuo. Qmuxao[11U . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24

    ?.1 \coy ml tbo c qcdo ml Ecfgixmq ~m`d. ^bmtm amuxtoqs Xcak Dc`iuq. . . 2?

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    ?.4 Goxcgf |coy ml tbo ame~foto Ecfgixm dotoatmx. Tbo ~m`d& qbmy` boxoyctb q`my m` tbo am|ox& cq c` tbo ecddfo. Tbo hucfdc`iq `ort tm tbo~m`d bmuqo tbo ofoatxm`caq& qtmxgio q~gaoq g`d tbo ygtox ftxgtcm`qsqtoeq. Tbo mutxciiox gxxgs cq gfqm qbmy` "xod dmtq# gxmu`d tbo ~m`d. 29

    ?.? G dc|ox ymxkc`i m` g ^ET duxc i g xo~gcx m~oxgtcm`. Tbo hgfflo g`dtbo ^ET o`ag~qufgtcm` ag` ho qoo`. . . . . . . . . . . . . . . . . . . 37

    ?.< Qaboegtca ml tbo egc ~m`d. Qmuxao [14U . . . . . . . . . . . . . . . . 31

    ?.9 ^bmtm ml g` mutxciiox tg`k. . . . . . . . . . . . . . . . . . . . . . . . 3?

    ?.2 Dceo qcm`q ml g` mutxciiox tg`k. Qmuxao: Tm`s Qbmu~ . . . . . . . . . 3 Qaboegtca ml tbo Ecfgixmq ofoatxm`caq qsqtoe. Qmuxao [1?U . . . . . . . 33

    ?.77 Xgto ml o|o`tq yctb g` g`gfmi que m|ox g aoxtgc` tbxoqbmfd. Tboxgtoq lmx gff o|o`tq "hfgak dmtq# g`d lmx o|o`tq tbgt amufd `mt hoxoam`qtxuatod "~c`k txcg`ifoq# gxo qbmy`. Qmuxao [1?U . . . . . . . . . 7>8

    ?.78 Dcqtxchutcm` ml tbo xcqo tceoq ml o|o`tq tbgt amufd-amufd `mt# ho xo%am`qtxuatod "tm~-hmttme#. Qmuxao [1?U . . . . . . . . . . . . . . . . . 7>4

    ?.71 Xgtcm ml tbo ooatc|o gxog ml Ecfgixm yctb tbo `oy \EO txciiox qsq%toe m|ox tbo ooatc|o gxog yctb tbo mfd euftc~fcacts txciiox. Tboxo cqg am`qcdoxghfo ce~xm|oeo`t c` Ecfgixmq qo`qctc|cts tm fmyox%o`oxisqci`gfq ybo` uqc`i tbo `oy \EO txciiox. . . . . . . . . . . . . . . . . 7>?

    ?.74 Dcqtxchutcm` ml tbo oxxmxq c` tbo amxo fmagtcm`q lmx igeeg xgsq lxmeg Axgh%fcko qmuxao. G qmlt aut bgq hoo` g~~fcod tm tbo dgtg xowucxc`igt fogqt 8> ^ETq tm ~gxtcac~gto c` tbo dcxoatcm`%xoam`qtxuatcm` t. . . 77>

    ?.7? Eodcg` oxxmx c` tbo amxo ~mqctcm` |oxquq txuo dcqtg`ao lxme tbo qbmyoxamxo. Tbo oxxmx hgxq qbmy qtgtcqtcagf oxxmxq m` tbo eodcg`. . . . . . . 77>

    ?.7< Ooat ml tbo ~xcegxs ~gxtcafoq o`oxis m` tbo gaauxgas ml tbo xo%am`qtxuatod amxo fmagtcm`. Tm~: eodcg` oxxmx c` tbo amxo ~mqctcm`|oxquq tbo igeeg%xgs o`oxis& hmttme: eodcg` amxo oxxmxq lmx ~myox%fgy q~oatxg yctb c`dor %8.>> g`d dcoxo`t or~m`o`tcgf autmq m` tbobcib o`oxis ame~m`o`t . . . . . . . . . . . . . . . . . . . . . . . . . . 777

    ?.79 Dcqtxchutcm` ml tbo xoam`qtxuatod amxo ~mqctcm`q. . . . . . . . . . . . . 778

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    ?.72 Oxxmx c` tbo xoam`qtxuatod g`ifo lmx g qceufgtod igeeg%xgs qci`gf m`g ~myox fgy q~oatxue yctb c`dor %8.>>. G qmlt aut bgq hoo` g~~fcodtm tbo dgtg xowucxc`i gt fogqt 8> ^ETq tm ~gxtcac~gto c` tbo t. . . . 77 Eodcg` oxxmx c` tbo xoam`qtxuatod g`ifo |oxquq tbo txuo dcqtg`ao mltbo qbmyox amxo lxme tbo ao tox ml tbo ~m`d. G qmlt aut bgq hoo`g~~fcod tm tbo dgtg xowucxc`i gt fogqt 8> ^ETq tm ~gxtcac~gto c` tbot. Tbo oxxmx hgxq qbmy tbo qtgtcqtcagf oxxmx m` tbo eodcg`. . . . . . . 772

    ?.87 Eodcg` oxxmx c` tbo xoam`qtxuatod g`ifo |q oxxmx c` tbo xoam`qtxuatodamxo fmagtcm`. Tbo ycdtb ml tbo oxxmx hgxq cq owugf tm m`o qtg`dgxddo|cgtcm`. G qmlt aut xowucxc`i gt fogqt 8> ^ETq ~gxtcac~gtc`i c` tbot bgq hoo` g~~fcod. Tbo oxxmx hgxq qbmy tbo qtgtcqtcagf oxxmx m` tbo

    eodcg`. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 773

    ?.88 Ooat ml tbo ~xcegxs ~gxtcafoq o`oxis m` tbo g`iufgx xoam`qtxuatcm`gaauxgas. Tm~: eodcg` oxxmx m` tbo xoam`qtxuatod g`ifo |oxquq tboigeeg%xgs o`oxis& hmttme: tbo qgeo oxxmx lmx ~myox%fgy q~oatxg mlc`dor %8.>> g`d dcoxo`t or~m`o`tcgf autmq. . . . . . . . . . . . . . . 78>

    ?.81 Dcqtxchutcm` ml tbo `uehox ml o|o`tq xotgc`od lxme g` G4 aut. Tbodcqtxchutcm`q ~xodcatod hs tbo Em`to Agxfm qceufgtcm` ml tbo dotoatmxlmx igeeg xgsq "qci`gf# g`d amqeca xgsq "hgakixmu`d# gxo qbmy`yctb tbo hfuo g`d xod aux|oq xoq~oatc|ofs& g`d tbo dcqtxchutcm` lmx

    amqeca xgsq lxme dgtg cq qbmy` yctb hfgak. Hgqod m` tbo lgat tbgttbo dcqtxchutcm`q lmx amqeca xgsq g`d igeeg xgsq gxo |oxs dcoxo`t&tboqo tym o|o`t ts~oq ag` ho ooatc|ofs dcoxo`tcgtod. Qmuxao G.Ghdm. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 784

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    / ~xmhghcfcts lmx egtabc`i oecq%qcm` g`d qogxab duxgtcm`q& m|ox tbo ec`ceue `uehox ml o|o`tq `oodod

    ybo` tboxo cq g ecqegtab. Tbo |oxtcagf qtxc~oq m` tbo eg~ gxo axo%gtod hs c`axogqoq& hs m`o& ml tbo qegff `uehox ml o|o`tq `oodod lmx gdotoatcm` ybo` tbo oecqqcm` g`d qogxab duxgtcm`q egtab "`ueoxgtmxml tbo xgtcm ~fmttod m` tbo Z grcq#. . . . . . . . . . . . . . . . . . . . 741

    lxme xodqbclt >.1. Tbo wug tcts ~fmttod cq tbo wugfctslgatmx do`od gq W 5 lQ

    lH& yboxo lQ g`d lH gxo tbo lxgatcm`q ml

    qci`gf g`d hgakixmu`d tbgt ~gqq g q~oaca aut. Tbo wugfcts lgatmxqbmyq tbo abg`io c` tbo qtgtcqtcagf qci`cag`ao ml g qci`gf c`txmduaodhs g~~fsc`i g aut. Tboqo ~fmtq gxo m`fs |gfcd lmx tbo fm`iox duxgtcm`q&yboxo tbo fgxio qtgtcqtcaq gffmy Iguqqcg` ~xmhghcfctcoq tm ho uqod. . . 7?1

    9.7 G ~xmhghcfcts dcqtxchutcm` ~xmduaod hs g qceufgtcm` ml g hc``od qogxab

    yctb bcibfs amxxofgtod txcgfq. Tbo amxxofgtcm`q hotyoo` txcgfq dcqtmxttbo ~xmhghcfcts dcqtxchutcm` gygs lxme ctq or~oatod lmxe qbmy` hstbo hfgak fc`o. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7& tbcak hfgak fc`o: t tm tbo ~xmhghcfcts dcqtxchutcm` ml gfftxcgfq. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7

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    2.7 Tbo xgtcm "y#y

    lmu`d c` tbo qci`cag`ao lmxeufg "ow. 2.1# ~fmttod|oxquq tbo hc` bgfl%ycdtb "y-8# lmx tbxoo zo`ctb%g`ifo xoicm`q. Tbom~tceue hc` bgfl%ycdtb amxxoq~m`dq tm tbo ~ogkq ml tbo aux|oq g`dcq owugf tm >.2m lmx gff tbxoo aux|oq. Dgtg lxme g Em to Agxfmqceufgtcm` ml tbo dotoatmx yoxo uqod tm am`qtxuat tboqo ~fmtq. . . . . . 79

    2.1 Eg~ qbmyc`i tbo dotoatcm` ~xmhghcfcts ml g` g|oxgio qci`gf @Q&tmtgf|oxquq tbo tbo bgfl%ycdtb ml tbo hc` uqod hs g qogxab lmx tbgt qci`gf.Hfgak aux|o: ~xmfo ml tbo eg~& xod aux|o: ~mfs`mecgf t tm tbo~xmfo& bmxczm`tgf hfgak fc`o: ec ceue ml tbo t& |oxtcagf hfgak hgx:oxxmx hgxq amxxoq~m`dc`i tm 7?/ c`axogqo c` tbo ec`ceue dotoatghfo

    qci`gf m|ox tbo m~tceue agqo. Tbcq eg~ amxxoq~m`dq tm tbo qogxablmx oecqqcm` yctb duxgtcm` 7>> q lxme g zo`ctb g`ifo >m 7?m. . . . . 728

    2.4 M~tceue hc`%qczo bgfl%ycdtb lmx tbxoo zo`ctb%g`ifo xoicm`q "hfgak~mc tq yctb amfmx oxxmx hgxq#. Tbo oxxmx hgxq amxxoq~m`d tm 7?/c`axogqo m|ox tbo ec`ceue qci`gf ml tbo ~xmfo aux|o. Tbo hfgakqmfcd bmxczm`tgf fc`o qbmyq tbo m~tceue hc` qczo gq agfaufgtod uqc`iIguqqcg` qtgtcqtcaq. Tbo dgqbod hfgak aux|o qbmyq tbo hc` qczo uqodc` tbo qogxab. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 724

    2.? Dcoxo`ao c` tbo uo`ao qo`qctc|cts ml tbo qogxab ybo` uqc`i tbo m~tc%

    eue hc` qczo agfaufgtod uqc`i ^mcqqm` qtgtcqtcaq |oxquq tbo m~tceuehc` qczo agfaufgtod uqc`i Iguqqcg` qtgtcqtcaq. Tbo S grcq qbmyq tbo xg%tcm ml tbo ec`ceue qci`gf tbgt ag` ho dotoatod yctb g 3>/ am`do`aofo|of ybo` uqc`i g Iguqqcg`%m~tceczod hc` ">.2m# m|ox tbo ec`ceueqci`gf ybo` uqc`i g ^mcqqm`%m~tceczod hc`. Tbo xod dmtq qbmy tbo xg%tcm lmx ogab duxgtcm`& g`d tbo hfgak aux|o cq g ~mfs`mecgf t tm iucdotbo oso. Tbo xoquftq gxo qbmy` lmx tbo >m 7?m zo`ctb g`ifo hg`d.Tbo ce~xm|oeo`t cq qcecfgx lmx tbo mtbox tym zo`ctb%g`ifo hg`dq. . . 72# gxo^>"d@-d^#d^ 5 78& ?22. . . . . . . . . . . . . . . . . . . 8>9

    7>.1 @uehoxq ml txcgfq c` q~gao g`d qtgxtc`i tceo lmx ogab oecqqcm` duxg%tcm` qogxabod. Hfgak: ooatc|o `uehox txcgfq& xod: gatugf `uehox mltxcgfq. Tbo oxxmxq m` tbo `uehox ml ooatc|o txcgfq gxo qegffox tbg`tbo qczo ml tbo egxkoxq. . . . . . . . . . . . . . . . . . . . . . . . . . . 8>2

    7>.4 Xgtcm ml ooatc|o `uehox ml txcgfq m|ox tmtgf `uehox ml txcgfq |oxquqtbo qogxab duxgtcm`. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8>3

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    7>.? Qge~fo dcqtxchutcm`q ml tbo ~xmhghcfctcoq ml gff tbo txcgfq c` tbo qogxabml m`o duxgtcm`. Tm~: Dcqtxchutcm` lmx tbo >.4 q qogxab& hmttme:dcqtxchutcm` lmx tbo >.4 q qogxab. . . . . . . . . . . . . . . . . . . . . 877

    7>.< Hoqt "ec`ceue# ~mqt%txcgfq ~xmhghcfctcoq lmu`d lmx ogab duxgtcm` qogxabod.

    Lfuatugtcm`q axogtc`i hoqt ~xmhghcfctcoq c` euftc~fo duxgtcm`q yoxo gf%fmyod tm am`txchuto m`fs m`ao tm tbo ~fmt. . . . . . . . . . . . . . . . 878

    7>.9 Dcqtxchutcm` ml tbo hoqt ~mqt%txcgfq ~xmhghcfctcoq lmu`d lmx ogab du%xgtcm` qogxabod. Lfuatugtcm`q axogtc`i hoqt ~xmhghcfctcoq c` euftc~foduxgtcm`q yoxo gffmyod tm am`txchuto m`fs m`ao tm tbo ~fmt. Tbo dcqtxc%hutcm` cq am`qcqto`t yctb g d@-d^ 5 am`qtg`t dcqtxchutcm` qu~~mxt%c`i tbo |gfcdcts ml tbo qogxabq xoquftq g`d ml tbo quhqowuo`t qtgtcqtcagfg`gfsqcq. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 871

    7>.2 Qkseg~q gxmu`d tbo emqt qci`cag t o|o t "~mqt%txcgfq# lmu`d c`

    tbo qogxab "Emdcod Jufcg` Dgto ?1772#. Tm~: qci`gf eg~& hmttme:fmi7>"^~xotxcgfq# eg~. . . . . . . . . . . . . . . . . . . . . . . . . . . . 874

    7>.3 Qkseg~q gxmu`d tbo qoam`d emqt qci`cag`t o|o`t "~mqt%txcgfq# lmu`dc` tbo qogxab "Emdcod Jufcg` Dgto ?1

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    77.? Tm~: l"z& e# % lxgatcm`gf egqq do`qcts hofm`ic`i tm eotgffcactcoq fmyoxtbg` qmeo eotgffcacts fcect Zegr 5 e Z& hmttme: Bm~kc`q g`d Hog%ame QLX lmx `m eotgffcacts autm "hfgak fc`o# g`d yctb eotgffcactsautmq. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 882

    77.< \mfueotxca lgatmx W"z# d\"z#-dz

    7+z "ow. 77.?# . . . . . . . . . . . . . . 883

    77.9 Fmmkhgak tceo "ow. 77.9# |oxquq xodqbclt. . . . . . . . . . . . . . . . . 817

    77.2 Tm~: Eoxiox tceo dcqtxchutcm`q lmx @Q%@Q g`d HB%@Q hc`gxcoq. Tbolmux @Q%@Q qsqtoeq dotoatod c` mux igfgrs gxo qbmy` yctb txcg`ifoq.Hmttme: Dofgs tceo dcqtxchutcm`q. Dofgs tceoq gxo tbo que ml tbolmxegtcm` tceo ml tbo ame~gat hc`gxcoq " 8> Esx# g`d tbo eoxioxtceoq "tm~ ~fmt#. Tbo dofgs tceoq gxo am`qcqto t yctb g ^"# 5 7-dcqtxchutcm` yctb ec` 5 8> Esx. Qmuxao: [47U . . . . . . . . . . . . . 811

    77.3 Tceo dofgs dcqtxchutcm` lmx tbo qcr @Q%@Q hc`gxs ame~gat mhjoatqdotoatod c` mux igfgrs. Tbo dcqtxchutcm` cq am`qcqto`t yctb g ^"# 57- dcqtxchutcm`. Dgtg lxme Abge~cm` ot gf.[48U& iuxo lxme Iuottg, ^cxg` [41U. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 814

    77.7>Ame~gat%hc`gxs eoxiox xgto. Tbcq xgto amxxoq~m`dq tm g dcqtxchutcm`ml dofgs tceoq hotyoo` qtgx lmxegtcm` g`d eoxioxq ^"# 5 7-& g`dg ec`ceue dofgs tceo ec` 5 8> Esx. Tbo BH QLX ygq uqod. . . . . 81?

    77.77Fuec`mqcts lu`atcm` ~xm~mqod hs Fcg`i ot gf [44U tm c`afudo tbo xoao`tfmy%fuec`mqcts IXHq dotoatod hs Qyclt. "F# d@-dF& g`d > cq gam`qtg`t. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 813

    77.78Tbo fuec`mqctcoq g`d xodqbcltq ml tbo Ho~~mQGR-BOTO8 "HQB c`tbo foio`d# qge~fo ame~gxod yctb tbo Qyclt qge~fo. Qmuxao [4?U . . . 84>

    77.71Lfur%fcectod qofoatcm` lu`atcm`. . . . . . . . . . . . . . . . . . . . . . 841

    77.74Xodqbclt dcqtxchutcm` ml qbmxt g`d fm`i IXHq dotoatod hs Qyclt. . . . 844

    77.7?Ooatc|o Qyclt tbxoqbmfdq m` `hmf-

    T3> g`d @cqm-

    T3> lxme Hutfox otgf. [1 uqod c` tboqceufgtcm`& axmqqoq: Qyclt dgtg lxme [1 Eo\ uo`ao. Qmfcd fc`oq: xoquftq lxme tboqceufgtcm`& dgqbod fc`oq: Qyclt dgtg lxme [1

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    77.73Hmfmeotxca 7 ko\ 7> Eo\ cqmtxm~ca%owuc|gfo`t o`oxicoq oecttod.Qmfcd fc`o: xoquftq ml tbo qceufgtcm`& dgqbod aux|o: Qyclt dgtg lxme[1Hmfmeotxca 7 ko\ 7> Eo\ uo`ao m|ox qwugxo xmmt ml T3>. Qmfcdfc`o: xoquftq lxme tbo qceufgtcm`& dgqbod xod aux|o: Qyclt dgtg lxme[1.7 Z. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8?9

    77.88@uehox ml dotoatod IXHq ~xodcatod hs tbo qceufgtcm` |oxquq tboxgtcm X& lmx dcoxo`t |gfuoq ml tbo q~oatxgf c`dor & g`d tbo egrceueoecttod o`oxis Oegr ml tbo \BO oecqqcm` lxme IXHq "qmfcd fc`oq#.Tbo dgqbod fc`oq qbmy tbo u~~ox fcect gt tbo >.3> am`do`ao fo|of"8.1 IXHq# lmx 5 8.?. Tboqo xoquftq gxo lmx tbo agqo tbgt gffIXHq oect c` |oxs bcib o`oxicoq& g`d lmx g` u~~ox eotgffcacts fcectZegr 5 >.1 Z. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8?2

    77.81@uehox ml dotoatod IXHq ~xodcatod hs tbo qceufgtcm` |oxquq tboxgtcm X& lmx dcoxo`t |gfuoq ml tbo q~oatxgf c`dor & g`d tbo egrceueoecttod o`oxis Oegr ml tbo \BO oecqqcm` lxme IXHq "qmfcd fc`oq#.

    Tbo dgqbod fc`oq qbmy tbo u~~ox fcect gt tbo >.3> am`do`ao fo|of"8.1 IXHq# lmx 5 8.?. Tboqo xoquftq gxo lmx tbo agqo tbgt gffIXHq oect c` |oxs bcib o`oxicoq& g`d lmx g` u~~ox eotgffcacts fcectZegr 5 >.< Z. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8?3

    77.84Q~oatxgf o`oxis dcqtxchutcm` ml tbo oecqqcm` lxme g IXH. Hfgak fc`o:ts~cagf ~xme~t oecqqcm` q~oatxue& amfmx fc`oq: u~~ox fcectq m` tbo~xme~t oecqqcm` qot hs tbcq qtuds. Ogab amfmx amxxoq~m`dq tm g dcl%loxo`t q~oatxgf c`dor ml tbo \BO oecqqcm`& g`d ogab qot ml ~fmtq tm gdcoxo`t egrceue o`oxis ml tbo \BO oecqqcm` O\ BO&egr. Tbo o`%oxis ml tbo R grcq cq lmx tbo IXH lxgeo ml xoloxo`ao "`m`%xodqbcltod#.Tbo xoquftq gxo lmx Zegr 5 >.7 Z g`d lmx gff IXHq bg|c`i \BOoecqqcm`. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

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    77.8?Q~oatxgf o`oxis dcqtxchutcm` ml tbo oecqqcm` lxme g IXH. Hfgak fc`o:ts~cagf ~xme~t oecqqcm` q~oatxue& amfmx fc`oq: u~~ox fcectq m` tbo~xme~t oecqqcm` qot hs tbcq qtuds. Ogab amfmx amxxoq~m`dq tm g dcl%loxo`t q~oatxgf c`dor ml tbo \BO oecqqcm`& g`d ogab qot ml ~fmtq tm gdcoxo`t egrceue o`oxis ml tbo \BO oecqqcm` O\ BO&egr. Tbo o`%

    oxis ml tbo R grcq cq lmx tbo IXH lxgeo ml xoloxo`ao "`m`%xodqbcltod#.Tbo xoquftq gxo lmx Zegr 5 >.1 Z g`d lmx gff IXHq bg|c`i \BOoecqqcm`. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

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    ag` ho uqod tm fogx` ghmut tbo o|mfutcm` bcqtmxs ml tbo u`c|oxqo "qtgx lmxegtcm`

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    ml tbo ogxfcoqt io`oxgtcm`q ml qtgxq. Tbo gltoxifmy ml IXHq ~gqqoq tbxmuib euftc~fo

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  • 7/29/2019 A Blind Search for Bursts of Very High Enery Gamma Rays with Milagro

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    Lciuxo 7.8: Qaboegtca ml tbo |gxcmuq o`|cxm`eo tq c toxqoatod hs g IXH fc`o mlqcibt. Tbo IXH oecqqcm` ~gqqoq tbxmuib tbo acxaueqtoffgx eodcue "AQE# gxmu`dtbo IXH ~xmio`ctmx; tbo qtgx%lmxec`i xoicm` quxxmu`dc`i tbo IXH "BCC Xoicm`& B8Afmud#; tbo gehco`t c`toxqtoffgx eodcue "CQE# ml tbo bmqt igfgrs; tbo hgxsm`ca bgfmml tbo igfgrs "Bgfm igq#; g`d tbo c`toxigfgatca eodcue "CIE# hotyoo` tbo ogxtbg`d tbo IXH. Tbo ghqmx~tcm` logtuxoq ce~xc`tod m` tbo IXH qci`gf gq ct ~gqqoq

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  • 7/29/2019 A Blind Search for Bursts of Very High Enery Gamma Rays with Milagro

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    Lciuxo 7.3: Dcqtxchutcm`q ml tbo Hg`d lu`atcm` ~gxgeotoxq lxme tq tm tbo q~oatxgml hxcibt HGTQO IXHq. Folt: Fmy%o`oxis q~oatxgf c`dor g& ecddfo: hxogk o`oxisO>& xcibt: bcib%o`oxis q~oatxgf c`dor . Tbo u`ctq m` tbo S groq gxo `uehox mlhuxqtq. Qmuxao: [2U

    Ibcxfg`dg ot gf. lmu`d tbgt tbo q~oatxg ml qbmxt IXHq ag` ho hottox ttod hs

    g ~myox fgy amehc`od yctb g` or~m`o`tcgf autm gt bcib o`oxicoq [?9U. Qcecfgxfs tm

    fm`i IXHq& tbos gfqm lmu`d tbgt tbo L dcqtxchutcm` lmx qbmxt IXHq ~ogkod gt g`

    77

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    Lciuxo 7.7>: Orge~fo ml g t tm tbo q~oatxue ml IXH377789 uqc`i tbo Hg`d lu`a%

    tcm`. Boxo 5 >.3.>88 g`d 5 8.489 >.>9. Qmuxao: [3U

    o`oxis O> 5 1?? 1> ko\.

    7.8.1 Ho~~mQGR , BOTO%8 "733>9#

    Hoaguqo igeeg xgsq ag` `octbox ho xooatod yctb ecxxmxq `mx xolxgatod yctb

    fo`qoq& tboxo gxo `mt g`s lmauqc`i igeeg%xgs tofoqam~oq uqod c` gqtxm`mes "qoo [?2U

    lmx g xo|coy ml tbo dotoatcm` eotbmdq uqod c` igeeg%xgs tofoqam~oq#. Gq g xoquft&

    tbo g`iufgx xoqmfutcm` ml igeeg%xgs tofoqam~oq quab gq HGTQO ygq tmm ycdo tm

    gffmy m~tcagf tofoqam~oq& ybcab `oodod gxaec` fmagfczgtcm`q ""7-#m#& tm qogxab lmx

    huxqt amu tox~gxtq. Tbcq ~xo|o`tod tbo cdo tcagtcm` ml tbo ~xmio`ctmxq g`d tbo

    o`|cxm`eo`tq ml IXHq& gq yoff gq tbo eogquxoeo`t ml tbocx dcqtg`aoq. Gq g xoquft&

    g |oxcagtcm` ml tbo amqemfmicagf mxcic`q ml IXHq ygq qtcff fgakc`i. G hxogktbxmuib

    bg~~o`od c` ogxfs 7339& ybo` tbo Dutab-Ctgfcg` qgtoffcto Ho~~mQGR [?3U "733>8# dotoatod g lgdc`i R%xgs oecqqcm` lxme fm`i IXH39>882 . Gltox g ~xmaoqqc`i ml

    g loy bmuxq& g fmagfczgtcm` gaauxgto o`muib lmx lmffmy%u~ ixmu`d%hgqod mhqox|gtcm`q

    78

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    gt m~tcagf& xgdcm& g`d mtbox yg|ofo`itbq ygq mhtgc`od. Tboqo mhqox|gtcm`q c`ctcgffs

    cdo`tcod g lgdc`i m~tcagf amu`tox~gxt& g`d& gltox tbo huxqt bgd lgdod& fm`i%duxgtcm`

    doo~ cegic`i cdo`tcod g |oxs dcqtg`t "z 5 >.432# bmqt igfgrs gt tbo fmagtcm` ml tbo

    huxqt. Tbcq mhqox|gtcm` ygq tbo xqt am`afuqc|o ~coao ml o|cdo`ao tbgt fm`i IXHq gxo

    amqemfmicagf qmuxaoq. Ct gfqm ~g|od tbo ygs lmx cdo tcagtcm`q ml emxo bmqt igfgrcoq

    g`d lmx xodqbclt dotoxec`gtcm`q tbxmuib q~oatxmqam~s ml tbo IXHq& g`d qottfod tbo

    dcqtg`ao%qagfo gxiueo`t lmx fm`i IXHq [U.

    Gltox Ho~~mQGR& tbo Bcib%O`oxis Txg`qco`t Or~fmxox "BOTO%8# "8>>>%8>>9#

    [

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    7.8.4 Qyclt "8>>4 % ~xoqo`t#

    C` tbo c`qtxueo`tq doqaxchod ghm|o& tboxo ygq g` 2 bx mx fm`iox dofgs ho%

    tyoo` tbo c`ctcgf huxqt dotoatcm` g`d tbo lmffmy%u~ mhqox|gtcm`q. Tbcq xoquftod c` tbo

    fmqq ml ce~mxtg`t c`lmxegtcm` am`tgc`od c` tbo huxqt gltoxifmy duxc`i tbgt dofgs. G

    `oy qgtoffcto& agffod Qyclt [>4. Qyclt bgd g IXH dotoatmx amehc`od yctb

    g ycdo ofd R%xgs g`d g` m~tcagf-uftxg|cmfot tofoqam~o& g`d tbo ghcfcts tm dm gu%

    tmegtod xg~cd qfoyc`i. Tbuq& ct amufd fmagfczo gltoxifmyq yctb gxaqoa gaauxgas g

    ec`uto mx qm gltox tbo huxqt gt igeeg%xgs& R%xgs& g`d m~tcagf yg|ofo`itbq.

    Qycltq ag~ghcfctcoq o`ghfod uq tm qtuds tbo txg`qctcm` hotyoo` tbo o`oxiotca

    g`d abgmtca ~xme~t oecqqcm`& g`d tbo qemmtbfs doagsc`i qmltox gltoxifmy. Tboqo

    mhqox|gtcm`q fogd tm tbo dotoatcm` ml q~oatxgf hxogkq c` tbo gltoxifmy oecqqcm` "Lciq.

    7.78 g`d 7.71#& ybcab ~xm|cdod qu~~mxt tm tbo amffcegtod%oecqqcm` emdof ml IXHq

    g`d gffmyod uq tm qci`cag`tfs am`qtxgc` tbo o`oxiotcaq ml IXHq "qoo quhqoatcm`

    7.1.4#. Luxtboxemxo& ct ~xm|cdod& lmx tbo xqt tceo& mhqox|gtcm`q ml tbo gltoxifmyq ml

    qbmxt "T3> 8 qoa# huxqtq& ybcab fogd tm xodqbclt eogquxoeo`tq ml qbmxt IXHq g`d

    |oxcod tbo amqemfmicagf mxcic` lmx tboe tmm.

    Qycltq mhqox|gtcm`q ml qbmxt IXHq qbmyod tbgt& u`fcko fm`i IXHq& tbos uqu%

    gffs mxcic`gto lxme xoicm`q yctb g fmy qtgx%lmxegtcm` xgto. Tbcq quiioqtod tbgt qbmxt

    IXHq gxo xofgtod tm mfd qtoffgx ~m~ufgtcm`q& ~mqqchfs lxme eoxioxq ml ame~gat%mhjoat

    hc`gxcoq "c.o.& `outxm` qtgx% outxm` qtgx mx `outxm` qtgx%hfgak bmfo#. Luxtboxemxo&

    o|o` tbmuib qu~ox`m|g logtuxoq quab gq xod hue~q g`d fgto%tceo xohxcibto`c`i yoxo

    74

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    dotoatod c` tbo gltoxifmyq ml emqt fm`i IXHq afmqo o`muib tm gffmy quab g dotoa%

    tcm`& tboxo yoxo `m o|cdo`ao ml quab logtuxoq c` tbo gltoxifmyq ml fm`i IXHq. Tboqo

    mhqox|gtcm`q qtxo`itbo`od tbo agqo lmx fm`i g`d qbmxt IXHq bg|c`i dcoxo`t kc`dq

    ml ~xmio`ctmxq: ame~gat%mhjoat hc`gxcoq lmx qbmxt IXHq |oxquq egqqc|o qtgxq lmx fm`i

    IXHq.

    Tbo IXH gltoxifmyq& gq mhqox|od hs Qyclt& doagsod m` g ~myox fgy g`d ~xm%

    ixoqqc|ofs qmlto`od lxme R%xgsq& tm m~tcagf& tm xgdcm. Gq ml Jg`ugxs 8>>2& Qyclt

    bgd dotoatod 8>2 huxqtq c` igeeg xgsq& yctb gfemqt gff ml tboe bg|c`i g` R%xgs

    gltoxifmy.

    Qyclt cq qo`qctc|o tm g fmyox o`oxis xg`io "7? 7?> ko\# g`d tm huxqtq ml fm`iox

    duxgtcm`q tbg` mtbox dotoatmxq. Tboxolmxo ct cq emxo qo`qctc|o tm IXHq ml bcibox

    xodqbcltq& qc`ao tbo qci`gf lxme quab IXHq cq emxo xodqbcltod g`d tceo dcfgtod. Duo

    tm ctq c`axogqod qo`qctc|cts tm dcqtg`t IXHq& Qyclt mhqox|od IXH>?>3>4& tbo emqt

    dcqtg t IXH o|ox mhqox|od. IXH>?>3>? bgd g xodqbclt ml z 5

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    Lciuxo 7.77: Dcoxo`t ~mqqchfo hxmgdhg`d qs`abxmtxm` q~oatxg lxme g xofgtc|cqtcahfgqt yg|o tbgt gaaofoxgtoq tbo ofoatxm`q tm g ~myox%fgy dcqtxchutcm` ml o`oxicoq

    "@ ~

    & yctb tbo Fmxo`tz lgatmx ml tbo ofoatxm`q#. Tbo dcoxo`t q~oatxg gxofghofod 7? lxme tm~ tm hmttme. Dcoxo`t qotq ml ~bsqcagf am`dctcm`q amxxoq~m`d tmdcoxo t mxdoxc`iq ml tbo hxogk lxowuo`acoq: tbo ec`cegf qs`abxmtxm` lxowuo`as mltbo fogqt o`oxiotca ofoatxm` eu& tbo qofl%ghqmx~tcm` lxowuo`as qg& g`d tbo ts~cagfqs`abxmtxm` lxowuo`as ml g` ofoatxm` ybmqo ammfc`i tceo owugfq tbo ds`gecagf tceoml tbo qsqtoe a. Tbo qcecfgxcts ml tboqo q~oatxg tm tbo q~oatxue ml tbo ~xme~toecqqcm` lxme IXHq ce~fcoq tbgt tbo fgttox cq emqt fckofs qs`abxmtxm` xgdcgtcm`.Qmuxao: [7>U.

    7

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    Lciuxo 7.78: Fcibt aux|oq ml lmux yoff%qge~fod IXHq orbchctc`i g abgxgatoxcqtcaxg`io ml ~mto`tcgf jot hxogk hobg|cmx. Tbo fcibt aux|oq gxo ame~mqod ml eogquxo%eo tq hs tym ml Qycltq dotoatmxq: tbo Huxqt Gfoxt Tofoqam~o "HGT%xod# g`d tboR%Xgs Tofoqam~o "RXT % hfuo#. Qmuxao: [77U

    79

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    Lciuxo 7.71: Qs`tbotca qkotab ml g fcibt aux|o hgqod m` Qycltq mhqox|gtcm`q. Tboc`ctcgf ~bgqo& do`mtod hs >& amxxoq~m`dq tm tbo o`d ml tbo ~xme~t oecqqcm`. Lmux~myox%fgy fcibt%aux|o qoieo`tq tmiotbox yctb g gxc`i ame~m`o`t gxo cdo`tcod c`tbo gltoxifmy ~bgqo. Tbo ame~m`o`tq egxkod yctb qmfcd fc`oq gxo tbo emqt ameem`&ybcfo tbo m`oq egxkod yctb dgqbod fc`oq gxo mhqox|od c` m`fs g lxgatcm` ml tbo huxqtq.Tbo ts~cagf q~oatxgf c`dcaoq ml tbo ~myox%fgy doags gxo qbmy` lmx ogab qoieo`t. Tbohxogk hotyoo` xoicm`q CCC g`d C\ maauxq qceuftg`omuqfs lmx gff mhqox|od lxowuo`acoq"gabxmegtca hxogk# g`d cq xofgtod tm tbo lgat tbgt tbo IXH oecqqcm` ameoq lxmexofgtc|cqtca jotq. Qmuxao: [78U

    72

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    Lciuxo 7.74: Xodqbclt dcqtxchutcm`q ml IXHq dotoatod hs Qyclt g`d ml IXHq dotoatodhs ~xo%Qyclt qgtoffctoq. Tbo g|oxgio xodqbclt ml tbo Qyclt qge~fo cq bcibox tbg`xodqbclt ml tbo ~xo|cmuq mhqox|gtcm`q "8. 1 |q 7. 8#& hoaguqo ml tbo ixogtox qo`qctc|ctsml Qyclt tm dcqtg`t IXHq. Qmuxao: [71U

    73

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    7.1 Tbo IXH Emdof

    Gaamxdc`i tm tbo io`oxgffs gaao~tod emdof ml tbo ~xmio`ctmx g`d tbo oecqqcm`

    eoabg`cqe ml IXHq& IXHq qtgxt yctb g agtgafsqeca o|o`t& quab gq tbo eoxiox ml

    tym ame~gat mhjoatq mx tbo amffg~qo ml tbo amxo ml g xmtgtc`i egqqc|o qtgx& lmffmyod

    hs tbo axogtcm` ml g xg~cdfs q~c``c`i hfgak bmfo g`d g` gaaxotc`i o`|ofm~o gxmu`d

    ct "Lci. 7.7?#. Tbcq emdof& agffod tbo Amffg~qgx emdof& ygq c`ctcgffs ~xm~mqod

    tm or~fgc` fm`i IXHq [

  • 7/29/2019 A Blind Search for Bursts of Very High Enery Gamma Rays with Milagro

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    Tbo amffg~qo ml tbo gaaxotc`i egtoxcgf tbgt cq `ogx tbo owugtmx ml tbo o`|ofm~o cq

    qmeoybgt c`bchctod hs tbo qtxm`i ao txcluigf lmxaoq. Emqt ml tbo gaaxotcm` bg~~o`q

    tbxmuib tym lu``ofq tbgt lmxe m` tbo ~mfoq ml tbo hfgak bmfo "m` tbo grcq ml xmtgtcm`#.

    Fgxio gemu`tq ml o`oxis " 7>?> oxi-q# gxo do~mqctod fmagffs m` tbo ~mfgx xoicm`q&

    ~mqqchfs tbxmuib `outxc`m%dxc|o` yc`dq [

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    Lciuxo 7.7

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    Lciuxo 7.79: Amffg~qo g`d or~fmqcm` c` g 74 qmfgx egqq Ymfl%Xgsot qtgx. Folt:Tbo cxm` amxo ml g bcibfs o|mf|od qtgx amffg~qoq tm g hfgak bmfo. Egtoxcgf gfm`itbo xmtgtcm`gf grcq lgffq c` wucakfs& hut egttox c` tbo owugtmxcgf ~fg`o cq qfmyod hsxmtgtcm` g`d ~cfoq u~ c` g dcqk. Boxo amfmx xo~xoqo`tq fmi do`qcts gt g tceo 8> qoam`dqgltox tbo c`ctcgf amffg~qo& g`d tbo bciboqt do`qcts c` tbo owugtmxcgf ~fg`o `ogx tbohfgak bmfo cq 3 7>2 i-ae1. Tbo iuxo cq 72>> ke gaxmqq& g`d tbo c``ox hmu`dgxscq gt 71 ke. G hfgak bmfo ml 4.4E bgq lmxeod g`d bgq hoo` gaaxotc`i >.7 E-qlmx tbo fgqt 7? qoam`dq. Duxc`i tbcq tceo& egi`otmbsdxmds`gecagf ~xmaoqqoq "`mtc`afudod c` tbo qceufgtcm`# ymufd fgu`ab g jot gfm`i tbo xmtgtcm`gf grcq. Xcibt: GIXH qu~ox`m|g. G tym%ame~m`o t jot ygq c`txmduaod gt tbo mxcic gfm`i tbo tm~g`d hmttme groq ml g qtgx qcecfgx tm tbo m`o ghm|o. M`o ame~m`o`t bgd 7> ?7 oxi-q&Fmxo`tz lgatmx 5 ?>& g`d g` c`tox`gf o`oxis tm egqq xgtcm ml 1. Ctq m~o`c`i g`ifoygq ghmut 7>m. G qoam`d ame~m`o`t ml ecfdfs xofgtc|cqtca egttox orto`dod lxme1>m 4?m g`d bgd ~myox ? 7>?> oxi-q g`d q~ood 74 7>1 ke-q. Ctq ame~mqctcm`g`d ~xm~oxtcoq xooatod tbmqo or~oatod lmx g dcqk yc`d hfmyc`i m tbo gaaxotcm`dcqk hs |cqamuq ~xmaoqqoq. Tbcq iuxo& 8 7>? ke gaxmqq& qbmyq am`dctcm`q >.34 qgltox tbo jot ygq fgu`abod. Hmtb myq gxo bsdxmds`gecagffs lmauqod tmygxdq tboxmtgtcm`gf grcq. Cegioq g`d ag~tcm` lxme [78U.

    tbo jotq ofoatxm`q gxo gaaofoxgtod tm uftxg%xofgtc|cqtca |ofmactcoq g`d oect qs`abxmtxm`

    xgdcgtcm`. Ogab ~ogk ml tbo ~xme~t fcibt aux|o cq am`qcdoxod tm ho axogtod duxc`i

    quab g` c`tox`gf qbmak.

    Tbo ortox`gf qbmak maauxq ybo` tbo jot o|o`tugffs amffcdoq yctb tbo gehco`t

    acxauehuxqt eodcue& g`d qemmtbfs g`d qfmyfs doaofoxgtoq. Qcecfgxfs tm c`tox`gf

    81

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    qbmakq& xofgtc|cqtca ofoatxm`q oect qs`abxmtxm` xgdcgtcm` mhqox|od gq g` gltoxifmy

    tbgt qtgxtq lxme igeeg xgsq g`d ixgdugffs qmlto`q tm fm`iox yg|ofo`itbq& dmy` tm

    xgdcm gq tbo jot cq gtto`ugtod hs tbo acxauehuxqt eodcue.

    Ybcfo tbo io`oxgf ~catuxo doqaxchod hs tbo amffg~qgx emdof cq gaao~tod hs tbo

    qaco tca ameeu`cts& tboxo cq fcttfo am`qo`quq xoigxdc`i qmeo ml ctq dotgcfq. Tbo

    c``ox o`ic`o ml IXHq cq bcddo` lxme uq& qm yo ag` egko m`fs c`dcxoat c`loxo`aoq

    ghmut ctq `gtuxo. Gq g xoquft& tboxo cq qtcff u`aoxtgc`ts xoigxdc`i eg`s gq~oatq ml tbo

    emdof& quab gq bmy orgatfs tbo jotq gxo lmxeod; ybcab eoabg`cqe txg`qloxq o`oxis

    lxme tbo c``ox o`ic`o tm tbo jotq; tbo hgxsm`ca fmgd ml tbo jotq; tbo jotq hufk Fmxo`tz

    lgatmx; ybcab ~bsqcagf ~xmaoqqoq gxo c`|mf|od c` tbo c`tox`gf qbmakq; ybgt q~oaca

    acxaueqtg`aoq fogd tm tbo axogtcm` ml g IXH c`qtogd ml juqt g qu~ox`m|g& ota.

    C` tbo lmffmyc`i& C ycff ic|o g hxcol xo|coy ml qmeo ml tbo mhqox|od IXH ~xm~%

    oxtcoq. C ycff eo`tcm`& yboxo g~~fcaghfo& bmy tboqo ~xm~oxtcoq qu~~mxt tbo amffg~qgx

    emdof. Lmx g` orto`qc|o xo|coy m` tbo ~bsqcaq ml IXHq& tbo amffg~qgx emdof& g`d

    tbo ~xmio`ctmxq g`d bmqtq ml IXHq qoo& [& 97& 98U.

    7.1.7 C``ox o`ic`o ml IXHq

    Tbo fcibt aux|oq ml tbo ~xme~t oecqqcm` qbmy g |gxcghcfcts ml ecffcqoam`dq tm

    eg`s ec`utoq. Tboqo qbmxt tceo qagfoq ce~fs tbgt g ame~gat mhjoat cq c`|mf|od c`

    tbo oecqqcm`& yctb qczo ml tbo mxdox ml to`q ml kcfmeotoxq& ts~cagf lmx hfgak bmfoq g`d

    `outxm` qtgxq. Tbo lgat tbgt tbo huxqt duxgtcm` cq uqugffs fm`iox tbg` tbo |gxcghcfcts

    quiioqtq g ~xmfm`iod g`d c`toxectto`t c``ox%o`ic`o gatc|cts c` tym mx tbxoo dcoxo`t

    84

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    qceuftg`omuq tceo qagfoq. Tbcq dcqlg|mxq g`s or~fmqc|o emdof tbgt xofogqoq tbo o`oxis

    gt m`ao. Tbo tmtgf o`oxis oecttod c` igeeg xgsq cq |oxs bcib& ghmut 7>?7 oxi& g`

    gemu t ame~gxghfo tm tbo o`oxis xofogqo lxme qu~ox`m|go. Tbo ghm|o quiioqt tbgt

    tbo c``ox o`ic`o ml IXHq am`qcqtq ml g egqqc|o mhjoat& emqt fckofs g `oyhmx` hfgak

    bmfo& yctb g egqqc|o "egqq >.7 E# dcqk gaaxotc`i c`tm ct. Tbo gaaxotcm` or~fgc`q

    tbo ~xmfm`iod gatc|cts g`d tbo dcoxo`t tceo qagfoq& g`d tbo hfgak bmfo qgtcqoq tbo

    qczo g`d o`oxis xowucxoeo`tq.

    7.1.8 Oecqqcm` eoabg cqe

    Gaamxdc`i tm tbo amffg~qgx emdof& tbo mhqox|od xgdcgtcm` cq ~xmduaod gt c`%

    tox gf mx ortox`gf qbmakq. Duxc`i tboqo qbmakq& o`oxis cq txg`qloxxod tm tbo jotq

    ofoatxm`q tbxmuib g dcuqc|o qbmak gaaofoxgtcm` eoabg`cqe [91U c` ybcab egi`otca

    ofd cxxoiufgxctcoq koo~ qagttoxc`i tbo ~gxtcafoq hgak g`d lmxtb qm tbos axmqq tbo qgeo

    qbmak euftc~fo tceoq. Duxc`i tbo xqt axmqqc`i& g` ofoatxm` igc`q g` gemu`t ml o`%

    oxis ml tbo mxdox ml8qb& yboxo qb cq tbo Fmxo`tz lgatmx ml tbo qbmak lxm`t eogquxod

    c` tbo xoqt lxgeo ml tbo jot [94U. Quhqowuo t axmqqc`iq gxo foqq ofiaco`t& g`d tbo

    igc` cq ml tbo mxdox ml u`cts [94U. Duxc`i tboqo qbmakq& tbo ofoatxm`q gxo gaaofoxgtod

    tm uftxg%xofgtc|cqtca |ofmactcoq "o u~ tm 7>>># g`d oect qs`abxmtxm` xgdcgtcm`.

    Tbo qbmakq egs gfqm gaaofoxgto ~xmtm`q. Bmyo|ox& tbo ~myox ml tbo qs`abxmtxm`

    oecqqcm` lxme ~xmtm`q cq am`qcdoxghfs qegffox tbg` tbo ~myox lxme tbo ofoatxm`q&

    qc`ao g` ofoatxm` oectq "e~-eo#8 7>9 emxo ~myox tbxmuib qs`abxmtxm` xgdcgtcm`

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