ST Math and RTI

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  • 7/30/2019 ST Math and RTI

    1/2

    ZX EBXO BGH VXCMYCHMGJM%FBZMH CGXMVYMGXCKGZ XOBX CE^VKYM VMZ]LXZ

    Hbtb%Hrcvmg Vmpkrts

    tk Cgikre CgstrujtckgXom VXC rmpkrts brm bvbclbflm bt tom

    stuhmgt, jlbss bgh sjokkl lmvml,

    bgh omlp tmbjomrs chmgtciy stuhmgt

    hmjcmgjcms cg ebstmrcga stbghbrhs

    bgh ceplmemgt tcemly cgtmrvmgtckgs'

    B gmurksjcmgjm bgh mhujbtckgrmsmbrjo%fbsmh gkg%prkit jkrpkrbtckg

    llllllllllllll

    Ikr ekrm cgkrebtckg, jkgtbjt us0???'1=2'=88: | cgkNecghrmsmbrjo'gmt

    www'ecghrmsmbrjo'gmtECGHVmsmbrjo Cgstctutm

    @c@c cs tom pmgaucg

    imbturmh cg tom ZX Ebto skitwbrm

    abems' Gkt kgly hkms tom

    jkeputmr%bgcebtmh @c@c ektcvbtm bgh mgabam

    joclhrmg cg sklvcga tom ebtomebtcjs cg tom

    abems, @c@c kiimrs tmbjomrs pkwmriul wbys tk

    jkggmjt ebto jkgjmpts tk

    jlbssrkke cgstrujtckg'

    ECGH Vmsmbrjo Cgstctutms

    Zpbtcbl%Xmepkrbl /ZX# Ebto

    sktwbrm prkarbes prkvchm

    rmsmbrjo%fbsmh bpprkbjo kr f/Xcmr 2# bgh cgtmrvmgtckg /Xc

    Flmghcga cghcvchublczmh, 202 st

    cg tom ugcqumly bjjmsscflm hcact

    jkgvmgtckgbl tmbjomr%bjclctbt

    cgstrujtckg, ZX Ebto mgabams s

    lmvml k ebto kr lbgaubam prk

    prkarmssckg k ebto ughmrstbg

    Cg tom ZX Ebto0 D%= abem Xua Fkbt,

    stuhmgts mgjkugtmr b vcsubl puzzlm

    womrm tomy eust rmbrrbgam tom fkbts

    sk tobt tom frcham wcll kpmg' Xocs abem

    tmbjoms bhhctckg, suftrbjtckg bgh tom

    jkgjmpt ki mqubl bekugts'

    Xom abem Fcrh Mxprmssckgs cg ZX

    Ebto0 Ilumgjy cgtrkhujms stuhmgts

    tk bhhctckg bgh suftrbjtckg up tk 2>'

    Ztuhmgts mgjkugtmrcga tocs puzzlm obvm

    ebstmrmh tom vcsubl rmprmsmgtbtckg

    ki tom ebtomebtcjs, bgh brm gkw

    mgjkugtmrcga tom kvmrlby ki guefmrs

    bgh syefkls kgtk tom ebto'

    Qm wmgt sokppcga ikr bg

    cgtmrvmgtckg ikr b suf%pkpulbtckg

    ki kur dchs wok struaalm wcto ebto,

    fut wm gkw rmjkagczm

    cts ikr mvmrykgm'

    %Hbvm Zbwtmllm, D%26 ebto ibjclctbtkr,

    Jklkrbhk Zprcgas Zjokkl Hcstrcjt 22

    QOBX CZ Z^BXCBL XME^KVBL /ZX# VMBZKGCGA;

    Fkrg kut ki gmurksjcmgjm rmsmbrjo bt tom ]gcvmrscty ki

    Jblcikrgcb, Crvcgm, ECGHs ugcqum bpprkbjo bjjmssms tom

    frbcgs cggbtm spbtcbl%tmepkrbl rmbskgcga bfclcty' Xocs bfclcty,

    wocjo lcms bt tom jkrm ki cggkvbtcvm tocgdcga bgh skpocstcjbt%

    mh prkflme%sklvcga, bllkws tom frbcg tk oklh vcsubl, emgtbl

    rmprmsmgtbtckgs cg sokrt%tmre emekry bgh tk mvklvm tome cg

    fkto spbjm bgh tcem, tocgdcga eultcplm stmps bombh' ECGHs

    bpprkbjo jkgscsts ki lbgaubam%cghmpmghmgt, bgcebtmh

    rmprmsmgtbtckgs ki ebto jkgjmpts hmlcvmrmh vcb jkeputmr

    skitwbrm abems'

  • 7/30/2019 ST Math and RTI

    2/2

    ^VKAVBE IMBX]VMZ

    Zmli%plbjmh0Xom ZX Ebto sktwbrm stbrts mvmry stuhmgt wcto sujjmss, bgh qucjdly

    frcgas tome tk tomcr pmrskgbl plbjmemgt womrm hmmp tocgdcga bgh

    lmbrgcga cs rmqucrmh'

    Vmsmbrjo%Fbsmh0Xom sktwbrms hmscag cgjkrpkrbtms tom lbtmst sjcmgtcijblly%fbsmh

    rmsmbrjo cg jkagctcvm lmbrgcga, abem%fbsmh lmbrgcga bgh ektcvbtckg

    tk dmmp mvmg lkw%jkgihmgjm stuhmgts mgabamh bgh prkhujtcvmlyjobllmgamh' Xom pksctcvm cepbjt k ZX Ebto kg stuhmgt ebto

    bjocmvmemgt obs fmmg mxtmgscvmly sokwg torkuao b lbram%sjblm

    rbghkeczmh jkgtrkl trcbl bgh eultcplm qubsc%mxpmrcemgtbl stuhcms'

    Xbclkrmh Cgstrujtckg0Fbsmh kg tom cgkrebtckg cg tom rmpkrts, tmbjomrs jbg bsscag spmjcij

    lmbrgcga kf`mjtcvms kr stuhmgts wok gmmh bhhctckgbl omlp cg bg

    chmgtcimh brmb'

    Cgstrujtcvm Immhfbjd0Ikr mvmry vcsubl puzzlm sklutckg pksmh fy tom stuhmgt, tom sktwbrm

    bgcebtms tom vcsubl rmprmsmgtbtckgs k ebto tk prkvchm cgstrujtcvm

    mmhfbjd' Qomtomr kr gkt tom sklutckg joksmg fy tom stuhmgt wkrdskr hkms gkt wkrd, bgcebtckg sokws woy ct wbs jkrrmjt kr cgjkrrmjt

    bgh prkvchms cgkrebtcvm mmhfbjd tk stuhmgts'

    Zmli%pbjmh0Ztuhmgts prkarmss torkuao tom sktwbrms amgtly sjbklhmh abems bt

    tomcr kwg pbjm, bhvbgjcga tk tom gmxt jobllmgacga lmvml kgly torkuao

    ebstmrcga tom prmvckus lmvml'

    Fuclt%cg Vmpkrts0Xmbjomrs, ebto jkbjoms kr ktomr spmjcblczmh mhujbtckg prkmssckgbls

    jbg bjjmss stuhmgt prkarmss hbtb cg rmbl%tcem' B fuclt%cg VXC rmpkrt

    vcmwmh hbcly kr wmmdly sokws fkto jlbss bgh stuhmgt%lmvml hbtb,

    cghcjbtcga lmvml k ebto stbghbrhs ebstmry bgh VXC arkwto'

    Arkup Cgstrujtckg0Fy cgjkrpkrbtcga tom sktwbrms bgcebtmh vcsubl rmprmsmgtbtckgs k

    ebto cg rmaulbr jlbssrkke kr arkup cgstrujtckg, tmbjomrs jbg omlp

    stuhmgts ebdm tom jkggmjtckgs fmtwmmg wobt tomy obvm lmbrgmh

    hurcga tomcr 202 ZX Ebto tcem wcto tom lbgaubam bgh syefkls tomy

    mgjkugtmr cg trbhctckgbl jlbssrkke ebtmrcbls'

    ZX EBXO

    ^VKAVBEZ

    ZX Ebto0 D%=

    arbhm%lmvmlmh cgstrujtckgblskitwbrm cs hmscagmh tk omlp bll

    stuhmgts rmbjo ebto prkjcmgjy

    torkuao smli%pbjmh, lbgaubam%

    cghmpmghmgt, ebstmry fbsmh

    kf`mjtcvms'

    ZX Ebto0

    Zmjkghbry Cgtmrvmgtckgcs hmscagmh ikr struaalcga echhlm

    bgh ocao sjokkl stuhmgts

    pmrikrecga wmll fmlkw arbhm

    lmvml' Hcbagkstcj bssmssemgts

    prmsjrcfm bg bpprkprcbtm

    lmbrgcga pbto ikr mbjo stuhmgt'

    Zmli%pbjmh bgh lbgaubam%

    cghmpmghmgt, tom Zmjkghbry

    Cgtmrvmgtckg skitwbrm prkvchms

    cgstrujtckg kg ebto stbghbrhs

    prmrmqucsctm tk ebstmrcga echhlm

    sjokkl ebto bgh blamfrb'

    ZX Ebto0 Ilumgjycs hmscagmh tk omlp arbhm

    sjokkl stuhmgts fuclh umgjy

    wcto bhhctckg bgh eultcplcjbtckg

    ebto ibjts, fuclhcga spmmh bgh

    bjjurbjy wcto ughmrstbghcga'

    Mvchmgjm suaamsts tobt hmvmlkpcga rbpch bgh bjjurbtm rmspkgsms tk fbscj ebto ibjts, cgjluhcga scgalm%

    suftrbjtckg, eultcplcjbtckg bgh hcvcsckg, eby prmvmgt bgh rmemhy lmbrgcga prkflmes' /Zdcfb, Ebagmus

    ) Mrcjdskg, 23?9#' Xom tmres umgjy bgh butkebtcjcty hmsjrcfm tocs lmvml ki sdcll hmvmlkpemgt' Cg

    prkvmg usm ki bgcebtmh vcrtubl ebgcpulbtcvms mgbflm stuhmgts tk gkt `ust emekrczm fut blsk prkvm

    ibjts' Xom stbtm%ki%tom%brt bhbptcvcty ebdms fbscj ebto ibjt rmjbll miikrtlmss bgh irmms stuhmgts wkrdcg

    prkflme%sklvcga' Xom smli%pbjmh abems bllkw stuhmgts bt bgy bjbhmecj lmvml tk mgabam wcto tom jkgt

    bpprkprcbtm ikr usm bt bll stbams ki VtC'

    XCMV 2 XCMV 6 XCMV

    ^bcrmh wcto trbhctckgbl cgstrujtckg,

    tom usm ki ZX Ebto obs fmmg

    prkvmg bs b ocaoly miimjtcvm

    prmvmgtckg prkarbe bhhrmsscga

    tom amgmrbl pkpulbtckg kistuhmgts' Mbrly ceplmemgtbtckg

    armbtly rmhujms tom cgjchmgjm

    ki stuhmgts fmcga plbjmh cg Xcmr

    6' Xom smli%pbjmh abems bllkw

    stuhmgts bt bgy bjbhmecj lmvml

    tk mgabam wcto tom jkgtmgt bgh

    mxpmrcmgjm ceemhcbtm sujjmss,

    mgjkurbacga pksctcvm fmobvckr'

    Ikr stuhmgts wok hch gkt usm

    ZX Ebto cg Xcmr 2, tom prkarbe

    jbg fm cgtrkhujmh bt Xcmr 6

    bgh cs mspmjcblly miimjtcvm cguglkjdcga ugrmblczmh lmbrgcga

    pktmgtcbl' Cg bhhctckg tk omlpcga

    amgmrbl stuhmgts wok brm gktpmrikrecga bt tomcr bjbhmecj

    pktmgtcbl, tom prkarbe

    suppkrts stuhmgts wok obvm

    hcijulty wcto lbgaubam, kr wok

    obvm eclh butcse, hyslmxcb kr

    ktomr spmjcbl gmmhs' Xom fuclt%

    cg rmpkrts bllkw tmbjomrs tkchmgtciy stuhmgt hmjcmgjcms tk

    bhhrmss torkuao cgtmrvmgtckg'

    Ztuhmgts wok obvm scagcjbgt

    abps cg tomcr ebtomebtcjbl

    dgkwlmham bgh prkflme%

    sklvcga sdclls wcll fmgmt irke

    tom usm ki ZX Ebto0 Zmjkghbry

    Cgtmrvmgtckg' Xom ebtmrcbl jbg

    fm jkvmrmh cg b vbrcmty ki jlbss

    ekhmls cgjluhcga bhhctckgbl

    ebto jlbssms, mxtmghmh

    jlbss pmrckhs kr bhhctckgbl

    tbramtmh cgtmrvmgtckg tcem' Xom

    cgstrujtckgbl bpprkbjo kiimrs

    stuhmgts tom ektcvbtckg tk

    jkrrmjt prckr ecsjkgjmptckgs

    bgh jkgstrujt b sklch

    ebtomebtcjbl ikughbtckg'

    Cg ocaoly cghcvchub

    tocs cgtmgsm, mxpl

    prkvchms jkgtmg

    tom cghcvchubl

    cgstrujtkrs bgb

    tomy jbg mbscly ch

    hmjcmgjcms fy

    ebstmry bgh cep

    cgtmrvmgtckgs' Xom

    ibjtkr ki ZX Ebto

    usmiul cg Xcmr : w

    b gmmh ikr cgjr

    bgh irmqumgjy bg

    cgtmrvmg