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8/9/2019 DIGC101 Lecture Week 5
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hndl0=0eclxsvc tcco 3 \}vnad 6=0=
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Xbn| tcco tc cr}eivc xbc hnggcvcalcfcxtcca |iln`e acxtivo |nxc| "\A\. xb`x
g`lnenx`xc xbc likksanl`xnia fcxtccakckfcv| ig crn|xnad acxtivo|% `ahxbi|c xb`x }vikixc xbc givk`xnia ig actliaaclxnia|!
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Na cr}cvnkcaxnad tnxb xbc gc`xsvc| ighnggcvcax \A\ tc cr`knac xbcnv bn|xiv~%`ah |ndangnl`ax lb`adc| `ahhcwcei}kcax| iwcv xnkc!
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Xbn| tcco| vc`hnad n| f~ H`a` Fi~h!Fi~h "6==2:60=. `vdsc| xb`x |ikc|iln`e acxtivo |nxc| bce} |xv`adcv|
liaaclx f`|ch ia |b`vch naxcvc|x|%}ienxnl`e wnct|% iv `lxnwnxnc|
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Fi~h `vdsc| xb`x \ikc |nxc| l`xcv xihnwcv|c `shncalc|% tbnec ixbcv| `xxv`lx}ci}ec f`|ch ia likkia e`ads`dc iv|b`vch v`ln`e% |crs`e% vcendnis|% iva`xnia`enx~+f`|ch nhcaxnxnc|!
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Fi~h `vdsc| xb`x |a|| f`lofiaclia|n|x| ig wn|nfec }vignec| xb`x hn|}e`~
`a `vxnlse`xch en|x ig Gvncah| tbi `vc`e|i s|cv| ig xbc |~|xck! ]vignec| `vcsanpsc }`dc| tbcvc iac l`a x~}c
iac|ceg naxi fcnad
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fi~h 6==2bn|xiv~ ig |a|
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"}608. xbc gnv|x vclidanz`fec |iln`eacxtivo |nxc e`salbch na 0>>4!\nrHcdvcc|!lik `eeitch s|cv| xilvc`xc }vignec|% en|x xbcnv Gvncah| `ah%
fcdnaanad na 0>>2% |svg xbcnv Gvncah|en|x|! _!![ Le`||k`xc|!lik _crn|xch
fcgivc xbn| fsx s|cv| liseh aix lvc`xc}vignec| iv en|x gvncah|[ _\nrHcdvcc`|liseh aix |s|x`na ` fs|nac|| kihce `ahlei|ch na 6===[!
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"}!608. Gvik 0>>4+6==0% ` askfcv iglikksanx~ xiie| fcd`a |s}}ivxnadw`vnis| likfna`xnia| ig }vignec| `ah}sfenle~ `vxnlse`xch Gvncah|!
@|n`a@wcasc% fe`lo]e`acx% `ahKnDcaxc `eeitch s|cv| xi lvc`xc}cv|ia`e% }vigc||nia`e% `ah h`xnad}vignec|s|cv| liseh nhcaxng~ Gvncah|ia xbcnv }cv|ia`e }vignec| tnxbisx|cconad `}}viw`e giv xbc|c liaaclxnia|
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"}!603. Xbc acrx t`wc ig \A\| fcd`atbca V~zc!lik t`| e`salbch na 6==0xi bce} }ci}ec ecwcv`dc xbcnv fs|nac||acxtivo|! _!![ Na xbc cah% V~zc acwcv`lpsnvch k`|| }i}se`vnx~% Xvnfc!acxdvct xi `xxv`lx ` }`||nia`xc s|cv f`|c%EnaochNa fcl`kc ` }itcvgse fs|nac|||cvwnlc% `ah Gvncah|xcv fcl`kc xbc
ki|x |ndangnl`ax _hn|`}}inaxkcax[!
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"}!603. Gvncah|xcv e`salbch na 6==6 `|` |iln`e lik}iacx ig V~zc! Nx t`|hc|ndach xi lik}cxc tnxb K`xlb!lik% `}vignx`fec iaenac h`xnad |nxc! Tbnec ki|xh`xnad |nxc| gils|ch ia naxvihslnad}ci}ec xi |xv`adcv| tnxb |nkne`vnaxcvc|x|% Gvncah|xcv t`| hc|ndach xibce} gvncah|+ig+gvncah| kccx% f`|ch ia
xbc `||sk}xnia xb`x gvncah|+ig+gvncah|tiseh k`oc fcxxcv vik`axnl }`vxacv|xb`a tiseh |xv`adcv|
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"}!603. Gvncah|xcv d`nach xv`lxnia`kiad xbvcc dvis}| ig c`ve~ `hi}xcv|tbi |b`}ch xbc |nxcfeiddcv|%
`xxcahcv| ig xbc Fsvanad K`a `vx|gc|xnw`e% `ah d`~ kca _!![ `ah dvct xi
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Gvncah|xcv dix xii fnd `ah }ci}ec lisehaix |c}`v`xc fi||c| `ah iehle`||k`xc| gvik lei|c gvncah|% `ah xbc|nxc k`egsalxniach ` fnx fcl`s|c aix}vc}`vch giv dvitxb!
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Gvncah|xcv itacv| xvnch xi vc|xvnlx`lxnwnxnc| ig nx| ki|x }`||nia`xc s|cv||slb `| hcecxnad g`oc lcecfvnx~ }vignec|++fsx |ikc ig xbc|c tcvc dcasnac s|cv|
tbi lbi|c aia+vc`en|xnl }bixi|.|nda`eech xi |ikc xb`x xbc lik}`a~ hnh
aix |b`vc s|cv| naxcvc|x| "}!603.
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Gvncah|xcv hclenach na s|` fsx|o~viloch na xbc }bneen}nac|% \nad`}ivc%K`e`~|n` `ah Nahiac|n`
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@gxcv vskisv| ckcvdch xb`x Gvncah|xcvtiseh `hi}x ` gcc+f`|ch |~|xck% s|cv|
}i|xch Gvncah|xcv kc||`dc|calisv`dnad }ci}ec xi jina `excva`xc\A\|% naleshnad Xvnfc!acx `ah k~\}`lc"}604.
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K~\}`lc t`| `fec xi dvit v`}nhe~ _!![Iac }`vxnlse`v aix`fec dvis} xb`x
calisv`dch ixbcv| xi |tnxlb tcvc nahnc+vilo f`ah| tbi tcvc cr}ceech gvikGvncah|xcv giv g`nenad xi lik}e~ tnxb}vignec vcdse`xnia|!
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K~\}`lc `hhch gc`xsvc| f`|ch ia s|cvhck`ah| |slb `| `hhnad bxke lihc|[
Xcca`dcv| fcd`a jinanad K~\}`lc cak`||c na 6==8! _aix k`a~ xcca| b`hfcca ia Gvncah|xcv fsx k~|`ilclb`adch nx| vsec| xi `eeit sahcv`dch xijina[
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Xbca% na 6==3% act| Liv}iv`xnia}svlb`|ch K~\}`lc giv (32= kneenia%_!![ `xxv`lxnad k`||nwc kchn` `xxcaxnia!
_[ |`gcx~ n||sc| }e`dsch k~|}`lc c!d!`hsex| `ah onh| |cr naxcv`lxnia| ech xie`t |snx|% Fi~h |`~| kiv`e }`anl `fisx
}vch`xiv| ia k~ |}`lc t`|cr`ddcv`xch++hi ~is `dvcc99
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G`lcfiio e`salbch na 6==8 giv anlbclieecdc k`vocx xbca cr}`ahch!
"}60>. Fi~h |`~| xb`x nk}vc||nia
k`a`dckcax% |ceg+}vc|cax`xnia% `ahgvncah|bn} }cvgivk`alc `vc nk}ivx`ax
`|}clx| ig G`lcfiio
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Fi~h "6==2. `vdsc| xb`x }vignec| l`aacwcv fc vc`e% xbc~ `vc `et`~| `fisxnk}vc||nia k`a`dckcax++hi ~is`dvcc9
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Fi~h "6==2. `e|i `vdsc| xb`x gvncah|ia \A\| `vc aix xbc |`kc `| gvncah|
na xbc cwcv~h`~ |ca|c? na|xc`h% Gvncah|}viwnhc liaxcrx f~ iggcvnad s|cv| `ank`dnach `shncalc xi dsnhc fcb`wnisv`eaivk|! Hi ~is `dvcc9
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"}!660. E`k}c% Ceen|ia% `ah \xcnagceh"6==7. gisah xb`x G`lcfiio s|cv|cad`dc na |c`vlbnad giv }ci}ec tnxb
tbik xbc~ b`wc `a iggenac liaaclxniakivc xb`a xbc~ fvit|c giv lik}cxc
|xv`adcv| xi kccx! Enoctn|c% ]ctvc|c`vlb gisah xb`x >0# ig S!\! xcca|tbi s|c \A\| hi |i xi liaaclx tnxbgvncah|! Xbn| liaaclx| tnxb e`|x tcco|
`vdskcax++k`a~ ig ~is s|ch |a| givgvncah|% xbc `vxnlec| tc eiioch `x |`nhk`a~ s|ch |a| giv }ixcaxn`e
}`vxacv|bn}| tnxb |xv`adcv|!
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Iac ig Fi~| feid n| xnxech Xtnxxcv n| givGvncah|% G`lcfiio n| giv cwcv~fih~!
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Fi~h `vdsc| na bcv feid xb`x |ikcxcca`dcv| na xbc s|` s|c ` }vnw`xc
xtnxxcv `llisax kivc xb`a xbcnvg`lcfiio% fcl`s|c ig xbc }vc||svc xiecx cwcv~iac++gvncah|% }`vcax|% }ccv|cxl++jina g`lcfiio |i nx dcx| xii }sfenl
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@aixbcv vc|}ia|c xi xbn| |sddc|xniat`| xb`x xbc|c }vnw`xc acxtivo| lisehfc lia|nhcvch xi fc lisaxcv}sfenl| na
Knlb`ce T`vacv| xcvk|!
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N `k aix |svc N `dvcc++T`vacv|sddc|xch xb`x ` lisaxcv}sfenl t`| `}sfenl xb`x givkch `visah ` bsaxnad `ahgn|bnad k`d`znac% iv vc`hcv| ig psccvenxcv`xsvc `ah k`d`znac|! Xbc~ hcgnachxbck|cewc| na i}}i|nxnia xi xbc
k`na|xvc`k na |ikc t`~!
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Hi ~is xbnao xb`x xbc xcca`dcv| naH`a` Fi~h| feid `vc hcgnanadxbck|cewc| na i}}i|nxnia xi xbck`na|xvc`k9
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Na H`a` Fi~h| "6==2:660. `vxnlec% |bc`vdsc| xb`x |a| }viwnhc ` wcbnlec givxcca`dcv| `ah ixbcv| xi cad`dc naacxtivoch }sfenl|! Xbn| lialc}xnia ig
` }sfenl hic|ax vcpsnvc xb`x nx fc
i}}i|nxnia`e++nx n| |nkne`v xi Xihh Dnxena|nhc`| ig }sfenl |}bcvnlec|++tbcvc
}ci}ec `vc nawiewch na |k`ee }sfenl|tbnlb naxcv`lx `ah |ikcxnkc hcenfcv`xc!
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N b`wc fcca xbnaonad `fisx xbc s|c ig|a| |slb `| G`lcfiio giv xbchn|xvnfsxnia ig iwcvxe~ }ienxnl`e
l`k}`ndanad giv }`vxnlse`v }`vxnc| iv}ienxnln`a| "|slb `| cwcv~xnkc ~is wixcgiv `ffix ` onxxca hnc| dvis}.! Xbcvck`~ fc `a `vdskcax xi fc k`hc `fisx
fecch fcxtcca }sfenl `ah }vnw`xc bcvc!
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@aixbcv vc|}ia|c xi Fi~h| feid t`|gvik `a `l`hcknl tivonad ia hndnx`elsexsvc| na xbc knhhec c`|x `fisx bitxtnxxcv) gf cxl l`a l`s|c ` hn|vs}xnia igxbc |iln`e)}vnw`xc tbca xbc tivo |}bcvccaxcv| xbc }vnw`xc xbvisdb li+tivocv|ia g`lcfiio! Nk}vc||nia k`a`dckcax
na xbn| liaxcrx| n| xbca c|}cln`ee~nk}ivx`ax!
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\ikciac na xbn| eclxsvc e`|x tcco t`||`~nad xb`x xbc~ lbi|c ge`xxcvnad }bixi|
giv xbcnv h}| ia g`lcfiio++ixbcv g`lxiv|`ggclxnad nk}vc||nia++tb`x dvis}| ~isjina% tb`x ixbcv }ci}ec }i|x ia ~isvt`ee iv wn|` wcv|`!
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Tcee hiac cwcv~fih~ tnxb ~isv hv`gxtcfngnl`xnia }vijclx|% xbc~ tcvc `eevc`ee~ naxcvc|xnad! N `k eiionad givt`vhxi |ccnad xbc gna`e }vihslx! Vckckfcv%xbc gnv|x feid `||c||kcax n| hsc na xsxc|xbn| tcco% giv k~ le`||% js|x x`d ~isv
fc|x feid `| |sfknxxch!
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