dfk`fe f] x yf[p `e - heck's physicsrheckathorn.weebly.com/uploads/2/7/1/0/27107965/02... ·...

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Ce gi\m`flj Z_Xgk\ij n\ c\Xie\[ kf [\jZi`Y\ k_\ dfk`fe f] X Yf[p `e k\idj f] `kj [`jgcXZ\d\ek( m\cfZ`kp Xe[ XZZ\c\iXk`fe n`k_flk i\^Xi[ ]fi n_Xk ZXlj\[ k_\ dfk`fe `e k_\ ]`ijk gcXZ\* MlZ_ X [\jZi`gk`m\ jkl[p f] dfk`fe n_`Z_ `^efi\j `kj ZXlj\j `j ZXcc\[ ECH?G;NC=M Ce k_`j Z_Xgk\i n\ n`cc Xkk\dgk kf XZZflek ]fi Xe[ [\jZi`Y\ k_\ ZXlj\j f] dfk`fe( Xe[ `e [f`e^ jf n`cc Y\ \e^X^\[ `e X jkl[p f] >SH;GC=M* ;j pfl gifYXYcp Xci\X[p befn( ]fiZ\j Xi\ k_\ ZXlj\ f] dfk`fe* H\nkfe#j cXn f] dfk`fe glkj k_`j `e hlXek`kXk`m\ k\idj f] jkXk`e^ k_Xk k_\ m\Zkfi XZZ\c\iXk`fe f] X Yf[p `j [`i\Zkcp gifgfik`feXc kf k_\ e\k m\Zkfi ]fiZ\ \o\ik\[ fe X Yf[p* N_`j Z_Xgk\i n`cc ]lik_\i XZhlX`ek pfl n`k_ H\c]Dkfe#jcXn ) `kj fi`^`e( `kj m\i`]`ZXk`fe( Xe[ XYfm\ Xcc( `kj Xggc`ZXk`fej* -* Y\ XYc\ kf ZfekiXjk Y\kn\\e k_fj\ Y\]fi\ AXc`c\f n_f [\m\cfg\[ le[\ijkXe[`e^ XYflk k_\`i nfic[ k_ifl^_ !Zfddfe j\ej\! fYj\imXk`fej n`k_ k_fj\ f] AXc`c\f Xe[ k_fj\ n_f ]fccfn\[ n_f [\m\cfg\[ le[\ijkXe[`e^ k_ifl^_ \og\i`d\ekXk`fe Xe[ cf^`ZXc i\Xjfe`e^* .* Y\ XYc\ kf [\m\cfg Xe Xggi\Z`Xk`fe ]fi k_\ Zfe]c`Zkj k_Xk \o`jk\[ Y\kn\\e AXc`c\f#j jZ`\ek`]`Z k_`eb`e^ Xe[ k_\ Z_liZ_#j Xlk_fi`kp* /* Y\ XYc\ kf i\Zf^e`q\ `] ef leYXcXeZ\[ ]fiZ\ XZkj fe Xe fYa\Zk( k_Xk fYa\Zk n`cc Zfek`el\ `e `k#j gi\j\ek jkXk\ f] i\jk fi le`]fid dfk`fe* 0* Y\ XYc\ kf i\Zf^e`q\ k_Xk n_\e Xe leYXcXeZ\[ ]fiZ\ [f\j XZk fe Xe fYa\Zk( k_\ fYa\Zk `j XZZ\c\iXk\[ `e k_\ [`i\Zk`fe f] k_\ ]fiZ\* 1* Y\ XYc\ kf `ccljkiXk\ k_\ [`i\Zk i\cXk`fej_`g Y\kn\\e k_\ leYXcXeZ\[ ]fiZ\ Xggc`\[ kf Xe fYa\Zk Xe[ k_\ XZZ\c\iXk`fe `k \og\i`\eZ\j* 2* Y\ XYc\ kf jkXk\ n_Xk `j d\Xek Yp k_\ k\idj `e\ik`Xc dXjj Xe[ ^k)Xm`kXk`feXcdXjj* 4* ^`m\e Xep knf f] XZZ\c\iXk`fe( dXjj( fi leYXcXeZ\[ ]fiZ\( [\[lZ\ k_\ k_`i[ mXi`XYc\ lj`e^ k_\ i\cXk`fej_`g6 @ 9 d X*

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Page 1: dfk`fe f] X Yf[p `e - Heck's Physicsrheckathorn.weebly.com/uploads/2/7/1/0/27107965/02... · Ce gi\m`flj Z_Xgk\ij n\ c\Xie\[ kf [\jZi`Y\ k_\ dfk`fe f] X Yf[p `e k\idj f] `kj [`jgcXZ\d\ek(

Ce gi\m`flj Z_Xgk\ij n\ c\Xie\[ kf [\jZi`Y\ k_\ dfk`fe f] X Yf[p `ek\idj f] `kj [`jgcXZ\d\ek( m\cfZ`kp Xe[ XZZ\c\iXk`fe n`k_flk i\^Xi[]fi n_Xk ZXlj\[ k_\ dfk`fe `e k_\ ]`ijk gcXZ\* MlZ_ X [\jZi`gk`m\jkl[p f] dfk`fe n_`Z_ `^efi\j `kj ZXlj\j `j ZXcc\[ ECH?G;NC=M Cek_`j Z_Xgk\i n\ n`cc Xkk\dgk kf XZZflek ]fi Xe[ [\jZi`Y\ k_\ ZXlj\j f]dfk`fe( Xe[ `e [f`e^ jf n`cc Y\ \e^X^\[ `e X jkl[p f] >SH;GC=M*

;j pfl gifYXYcp Xci\X[p befn( ]fiZ\j Xi\ k_\ ZXlj\ f] dfk`fe*H\nkfe#j cXn f] dfk`fe glkj k_`j `e hlXek`kXk`m\ k\idj f] jkXk`e^ k_Xkk_\ m\Zkfi XZZ\c\iXk`fe f] X Yf[p `j [`i\Zkcp gifgfik`feXc kf k_\ e\km\Zkfi ]fiZ\ \o\ik\[ fe X Yf[p* N_`j Z_Xgk\i n`cc ]lik_\i XZhlX`ekpfl n`k_ H\c]Dkfe#jcXn ) `kj fi`^`e( `kj m\i`]`ZXk`fe( Xe[ XYfm\ Xcc(`kj Xggc`ZXk`fej*

-* Y\ XYc\ kf ZfekiXjk Y\kn\\e k_fj\ Y\]fi\ AXc`c\f n_f [\m\cfg\[le[\ijkXe[`e^ XYflk k_\`i nfic[ k_ifl^_ !Zfddfe j\ej\! fYj\imXk`fejn`k_ k_fj\ f] AXc`c\f Xe[ k_fj\ n_f ]fccfn\[ n_f [\m\cfg\[le[\ijkXe[`e^ k_ifl^_ \og\i`d\ekXk`fe Xe[ cf^`ZXc i\Xjfe`e^*

.* Y\ XYc\ kf [\m\cfg Xe Xggi\Z`Xk`fe ]fi k_\ Zfe]c`Zkj k_Xk \o`jk\[Y\kn\\e AXc`c\f#j jZ`\ek`]`Z k_`eb`e^ Xe[ k_\ Z_liZ_#j Xlk_fi`kp*

/* Y\ XYc\ kf i\Zf^e`q\ `] ef leYXcXeZ\[ ]fiZ\ XZkj fe Xe fYa\Zk( k_XkfYa\Zk n`cc Zfek`el\ `e `k#j gi\j\ek jkXk\ f] i\jk fi le`]fiddfk`fe*

0* Y\ XYc\ kf i\Zf^e`q\ k_Xk n_\e Xe leYXcXeZ\[ ]fiZ\ [f\j XZk fe XefYa\Zk( k_\ fYa\Zk `j XZZ\c\iXk\[ `e k_\ [`i\Zk`fe f] k_\ ]fiZ\*

1* Y\ XYc\ kf `ccljkiXk\ k_\ [`i\Zk i\cXk`fej_`g Y\kn\\e k_\leYXcXeZ\[ ]fiZ\ Xggc`\[ kf Xe fYa\Zk Xe[ k_\ XZZ\c\iXk`fe `k\og\i`\eZ\j*

2* Y\ XYc\ kf jkXk\ n_Xk `j d\Xek Yp k_\ k\idj `e\ik`Xc dXjj Xe[^k)Xm`kXk`feXcdXjj*

4* ^`m\e Xep knf f] XZZ\c\iXk`fe( dXjj( fi leYXcXeZ\[ ]fiZ\( [\[lZ\k_\ k_`i[ mXi`XYc\ lj`e^ k_\ i\cXk`fej_`g6 @ 9 d X*

Page 2: dfk`fe f] X Yf[p `e - Heck's Physicsrheckathorn.weebly.com/uploads/2/7/1/0/27107965/02... · Ce gi\m`flj Z_Xgk\ij n\ c\Xie\[ kf [\jZi`Y\ k_\ dfk`fe f] X Yf[p `e k\idj f] `kj [`jgcXZ\d\ek(

I^mkb\ %IGO& ********** ********** ))))))) **************I^mkb\ %\`l& ********** ********** ))))))) **************Ag`ebla ?BLO& ********** ********** ))))))) **************

iZ`^ 04.iZ`^ 067iZ`^ 057iZ`^ 06.

&-4'/2'/-'0-

&-5'/4&.-&/-

/-+ Abglm^bg lZb] maZm ma^ fZll %f& h_ Zgr h[c^\m ]^i^g]l hg ma^ o^eh\bmr?o& maZm bm bl mkZo^ebg` Zg] bml fZl+ ?Zm k^lm& ?fh& Z\\hk]bg` mh7

%pa^k^ \ x 0 u -,5 f,l+\& ?li^^] h_ eb`am&

.-* ?hfie^m^ ma^ ^g\ehl^] pkbmm^g ^u^k\bl^+ BtPL bm ^oZenZm^] [r rhnkbglmkn\mhk+

BYQ+p+fBWE+`1YJY#; KZcHYP3E3A47PP/P48 CC p

**)p4

Page 3: dfk`fe f] X Yf[p `e - Heck's Physicsrheckathorn.weebly.com/uploads/2/7/1/0/27107965/02... · Ce gi\m`flj Z_Xgk\ij n\ c\Xie\[ kf [\jZi`Y\ k_\ dfk`fe f] X Yf[p `e k\idj f] `kj [`jgcXZ\d\ek(

%.& bc%/& [Zee kheel _hk^o^k%0& O+=+>+%1& o : /- ^f,l^^%2& O+=+>+%3& %Z& 2+0 ^f lmZrl ma^ lZf^%4& O 66+3 /.+- 2-%O& mh kb`am

%[& O+=+>+2 -0

.-+ 6+O J^pmhgl %Z&V/X 1+6 J ienl .,/ p^b`am h_ [Zk _hk ^Z\a%Z&V0X >hmmhf7 6+O J Phi7 6+O J ienl p^b`am h_ [hmmhf [ZeZg\^

./+ %Z& gh %[& Ao^krmabg` pbee Z\\^e^kZm^ mh ma^ e^_m nge^ll ma^ _^^m h_ahkl^ $D$lgZ`l hg ma^ `khng]+ Pa^g Zg] hger ma^g pbee ma^ khi^ [k^Zd+

.0+ %6& 0- ^f,l^^,l^^%.6& %Z& .+2 %[& -+6 f,l%/0& >+=+>+

.2+ %.3& @^_bgbmbhgl ]b__^k [^\Znl^ ma^r Zkbl^ _khf / ]b__^k^gm lbmnZmbhgl+%./& .+2 f,l^^,l^^%.1& %Z& lZf^ %[& Z * /,0 Z %bg Bb` /*6&%.2& 0%.4& 1 f,l^^,l^^

.6+ %.O& 2 J^pmhgl%.6& 0- J^pmhgl%/2& 3 f,l^^,l^^%/4& >+=+>+%/O& %Z& . l^^ %[& ./ f,l+^%/-& 4+2 f,l^^%/.& 0+O f,l^^%0-& %Z& .,3 f,l^^,Z^^ %[& .,1 f,l^^,l^^%0.& O+=+>+

Page 4: dfk`fe f] X Yf[p `e - Heck's Physicsrheckathorn.weebly.com/uploads/2/7/1/0/27107965/02... · Ce gi\m`flj Z_Xgk\ij n\ c\Xie\[ kf [\jZi`Y\ k_\ dfk`fe f] X Yf[p `e k\idj f] `kj [`jgcXZ\d\ek(

>^_hk^ ma^ l\b^gmb_b\ k^ohenmbhg h_ ma^ .3ma Zg] .4ma \^gmnkb^l) ma^Z\\^im^] Znmahkbmr hg ma^ eZpl h_ gZmnk^ pZl =kblmhme^) pahl^ ob^pl p^k^^g]hkl^] [r ma^ ?Zmaheb\ ?ank\a+ L^kaZil fhlm bfihkmZgm Zfhg` ma^l^ pZlma^ ib\mnk^ h_ ma^ ngbo^kl^ Zl Z lmZmbhgZkr ^Zkma ^g\bk\e^] [r ^b`amk^oheobg` lia^k^l+ Ph mabl l\a^f^) Lmhe^fr aZ] Z]]^] Zg bgoblb[e^ gbgmalia^k^+

Sbma ma^ N^gZbllZg\^) =kblmhm^ebZg b]^Zl [^`Zg mh [^ jn^lmbhg^]+N^gZbllZg\^ iabehlhiar) ma^ Lkhm^lmZgm N^_hkfZmbhg) k^]bl\ho^kr h_ Ck^^dm^qml \hgmkZ]b\mbg` =kblmhme^) Zg] `^h`kZiab\Ze ]bl\ho^kb^l lahhd ma^khhml h_ ?Zmaheb\ _Zbma) ^g\hnkZ`^] h[l^koZmbhg h_ gZmnk^) Zg] ikh]]^]l\b^gmb_b\ bgo^lmb`Zmbhg bg fZgr _b^e]l+

Eg .210) Jb\aheZl ?hi^kgb\nl ikhihl^] ma^ k^ohenmbhgZkr ma^hkr maZm ma^lng) ghm ma^ ^Zkma) pZl ma^ \^gm^k h_ ma^ ngbo^kl^+ Oahkmer ma^ ?ank\a]^ghng\^] ma^ g^p ob^p Zl a^k^lr) k^mZbgbg` =kblmhme^ Zl lhe^ lhnk\^ h_l\b^gmb_b\ mknma+

CZebe^h$l !@bZeh`n^ hg ma^ Ck^Zm Shke] Orlm^fl!) in[ebla^] bg .30/) pZlik^l^gm^] Zl Zg bg\hg\enlbo^ ]^[Zm^ [^mp^^g =kblmhm^ebZg*imhe^fZb\ Zg]?hi^kgb\Zg ma^hkb^l+ Dbl ^fiaZlbl) mahn`a) e^_m gh ]hn[m h_ abl lniihkm_hk ?hi^kgb\nl+ Qg]^k ik^llnk^ _khf ma^ Egjnblbmbhg) CZebe^h in[eb\er]^gb^] abl hpg h[l^koZmbhgl+ =_m^kpZk]l) ahp^o^k) a^ l^\k^mer pkhm^ Zg]in[ebla^] Zghma^k o^kr bg_en^gmbZe l\b^gmb_b\ m^qm) !@bZeh`n^l?hg\^kgbg` Pph J^p O\b^g\^l!) pab\a i^kmZbg mh ]rgZfb\l Zg] lmZmblmb\l+

Em pZl CZebe^h pah bl \k^]bm^] Zl ma^ _Zma^k h_ l\b^g\^ Zl p^ dghpbm mh]Zr+ Pa^ ik^obhnl =kblmhm^ebZg l\a^f^ pZl ^ll^gmbZeer jnZebmZmbo^Zg] ghg*^qi^kbf^gmZe+ Pa^ l\a^f^ pZl [Zl^] hg !\hffhg l^gl^! pab\a p^Zee aZo^) ^o^g mh]Zr+ CZebe^h$l ^qi^kbf^gml e^] abf mh b]^Zl maZm p^k^]b__^k^gm maZg ma^ ^lmZ[eblaf^gm+ Oi^\b_b\Zeer abl ^qi^kbf^gml e^] abfmh lniihkm ?hi^kgb\nl$ ob^p maZm ma^ lng bl ma^ \^gm^k h_ ma^ ngbo^kl^+Bhk ma^l^ [^eb^_l) CZebe^h pZl [khn`am [^_hk^ ma^ Egjnblbmbhg+ =_m^klahpbg` CZebe^h$l ^qi^kbf^gml) ma^ _bef ]kZfZmbs^l ma^ \hg_eb\m [^mp^^gCZebe^h$l g^p l\b^gmb_b\ mabgdbg` Zg] ma^ \ank\a$l Znmahkbmr+ LZr\ehl^ Zmm^gmbhg mh abl Zk`nf^gml Zg] mh mahl^ h_ ma^ ^lmZ[eblaf^gm+Jhm^ ma^ khe^ h_ ma^ [rlmZg]^kl %pah aZo^ Zg hi^g fbg];+ =emahn`a bgma^ ^g]) CZebe^h k^\Zgml) bm bl abl ob^p pab\a bl mh ]hfbgZm^ ma^l\b^gmb_b\ \hffngbmr lbg\^ ma^g+ Jhm^ ma^ Zkmb\e^ mh ma^ e^_m mZd^g_khf ma^ /0 K\mh[^k .65- LeZbg @^Ze^k+ ?hne] bm [^ maZm CZebe^h pbeelhf^]Zr [^ \e^Zk^] [r mahl^ pah pkhg`er Z\\nl^] abf<

0+ Aqi^kbf^gm7 ?D=JCAO EJ RAHK?EPU SEPD = ?KJOP=JP BKN?A %Jhm^likhob]^]+ ;

[+ Sa^g rhn ik^l^gm ma^ k^ihkm _hk ^oZenZmbhg) [^ k^Z]r mh ln``^lm Zlahkm*\nm f^mah] _hk ]^m^kfbgbg` ma^ Z\\^e^kZmbhg+ Em bl^ll^gmbZe maZm mabl bl ]hg^ [^_hk^ rhn i^k_hkf ma^ g^qm^qi^kbf^gm+ % &

Page 5: dfk`fe f] X Yf[p `e - Heck's Physicsrheckathorn.weebly.com/uploads/2/7/1/0/27107965/02... · Ce gi\m`flj Z_Xgk\ij n\ c\Xie\[ kf [\jZi`Y\ k_\ dfk`fe f] X Yf[p `e k\idj f] `kj [`jgcXZ\d\ek(

-* QXj `ke\\\jjXip ]fi AXc`c\fkf d\Xjli\ k`d\ `e fi[\i kf ^\k k_\ \okiXg)fcXk`fe n_`Z_ c\[ _`d kf k_\ cXn f] `e\ik`X:

.* C]pfl ifcc Xglkkp YXccXifle[ k_\ `ej`[\ f] XYfnc( `kjffe Zfd\j kf i\jk`e k_\ Z\ek\i* ; jk\\c YXccn`cc fiY`k hl`k\ X]\n k`d\j Y\]fi\ Zfie`e^ kfi\jk `e k_\ Z\ek\i* Q_Xk nflc[ Y\ k_\ !`[\Xc! dfk`fe f]X YXcce XYfnc:

/* Q_p `j `k gXik`ZlcXicp[Xe^\iflj kf [i`m\ fe Xe `Zp _`^_nXp:0* C]X YXccj ifcc`e^ n`k_ X m\cfZ`kpf] ., Zd+j Xe[ ef ]fiZ\ XZkjfe `k(

n_Xk UU `ccY\ `kj m\cfZ`kpX]k\i 1 4-

2* @`^li\ ; j_fnj Xgfik`fe f] XkXg\ dX[\ `e Xe \og\i`d\ek `e n_`Z_ X* cXYfiXkfip ZXik`j glcc\[ Yp X*jki\kZ_\[ ifYY\i YXe[* Q_Xk ZXepfl

k\ccXYflk k_\ ]fiZ\ XZk`e fe k_\ ZXik:2* $X%G\Xjli\ k_\ \ok\c-4`fe f] k_\ jgi`e^ cffg `e k_\ cXjkj`o `dX^\j f]

k_\ cffg `e @`^*.)5* Cj k_\ cffg \ok\e[\[ k_\ jXd\ Xdflekk_ifl^_flk k_\ ile:

$Y%#Q_p `j k_\ Xejn\i kf k_`j hl\jk`fe `dgfikXek `e k_\ XeXcpj`jf] k_\\og\i`d\ek [\jZi`Y\[ `e k_\ k\ok:

3* Q_Xk nflc[ _Xm\Y\\e k_\ [XkX`e NXYc\- ]fi `ek\imXc4 `] `k _X[ Y\\e`eZcl[\[:

4* Mlggfj\ k_\ g_fkf^iXg_ `e @`^*.)5 i\gi\j\ek\[ XYf[p dfm`e^ ]ifdi`^_k kf c\]k* Cen_`Z_ [`i\Zk`fe nflc[ k_\ ]fiZ\ Y\ XZk`e^ e k_`j ZXj\:

y NXYc\ - >XkX]ifd ?og\i`d\ek M_fne `e @`^*.)5

Cc#*#N?LP;F 5 $\d% P5 $\d% TQ'TM $\d+j% PN $\d+X% TO'TM $\d+j#%

. 0*- 0*- -,y -.@`^li\ ; . -,*0 2*/ -1 1/ -5*. 4*4 .- 2 -00 /,*0 --*. .3 2 -01 00*, -/*2 /. 1 -02 2,*- -2*- /4 2 -03 34*2 -4*1 00 2 -0

9C@qel ()) 4DL!JI+DFD%5F2L><F@nXccJF<>@?<MMC@FI><MDGF<AMC@JO&>E<MMC@D4M<HM<AMC@ADKLFADH<C&9C@GFN@IA k ]``MC@JIFFDMPH<AMC@JO&>E<MMC@@H?<AMC@BDT DHM@KO<F&

Page 6: dfk`fe f] X Yf[p `e - Heck's Physicsrheckathorn.weebly.com/uploads/2/7/1/0/27107965/02... · Ce gi\m`flj Z_Xgk\ij n\ c\Xie\[ kf [\jZi`Y\ k_\ dfk`fe f] X Yf[p `e k\idj f] `kj [`jgcXZ\d\ek(

1+ N^Z]7 O^\mbhg /*. E]^Zl =[hnm Bhk\^ Zg] !hmbhg iZ`^ /2/*/ !hmbhg Sbmahnm Bhk\^ iZ`^ /4/*0 ?aZg`^l bg R^eh\bmr Sa^g = ?hglmZgm Bhk\^ =\ml i*0.

3+ Lkh[e^fl7 iZ`^ 0-7 +.iZ`^ 0/7 +2

4+ Uhn inla Z ]kr b\^ in\d Zg] bm fho^l h__ bg Z ahkbshgmZe ]bk^\mbhg Zm Z\hglmZgm li^^]+

Pa^ in\d ghp `h^l ho^k ma^ ^]`^ h_ ma^ mZ[e^ Zg] _Zeel mhpZk] ma^_ehhk+

=TT D

.-+ L^k_hkf ma^ ]^fhglmkZmbhg bg Bb`nk^ . [^ehp+ N^\hk] ma^ k^Z]bg` hgma^ ]bZ`kZf [r ]kZpbg` ma^ ihbgm^k bg ma^ ZiikhikbZm^ ]bk^\mbhg+ Pa^7

Z+ Lk^]b\m ma^ k^Z]bg` rhn pbee `^m pa^g rhn i^k_hkfma^ ]^fhglmkZmbhg bg Bb`nk^ /+ Eg Bb`nk^ 0+

[+ ?a^\d rhnk ik^]b\mbhg [r i^k_hkfbg` ma^]^fhglmkZmbhgl+

Page 7: dfk`fe f] X Yf[p `e - Heck's Physicsrheckathorn.weebly.com/uploads/2/7/1/0/27107965/02... · Ce gi\m`flj Z_Xgk\ij n\ c\Xie\[ kf [\jZi`Y\ k_\ dfk`fe f] X Yf[p `e k\idj f] `kj [`jgcXZ\d\ek(

5* ; Yf[p `j glcc\[ XZifl XXdffk_ _fi`qfekXc jli]XZ\ Yp Xjgi`e^ cffgk_Xk`j b\gk jki\kZ_\[ Yp X \fejkXek Xdflek* Ck`j ]fle[ k_Xkk_\Yf[p `j XZZ\c\iXk\[ Xk#-1 \d+jc* Q_Xk n`cc Y\ k_\ XZZ\c\iXk`fef] k_\Yf[p `] `k `j glcc\[ Yp knf cffgj( \XZ_aljk c`b\ k_\ ]`ijk cffg( j`[\ Ypj`[\ Xe[ jki\kZ_\[ Yp k_XkjXd\ Xdflek $M\\ @`^*.)-,*%

-,* ;e fYa\Zk jc`[`e^ fe Xcfn)]i`Zk`fe Y\Xi`e^ `j glcc\[ n`k_ XZfejkXek]fiZ\* CeXk`d\ `ek\imXc*f],*/ j k_\ m\cfZ`kpZ_Xe^\j ]ifd ,*. d+j kf(&+ G'L&CeXj\Zfe[ ki`Xc(k_\ fYa\Zk`j glcc\[ n`k_ Xefk_\i ]fiZ\* Cek_\ jXd\ c\e^k_ f] k`d\ k_\ m\cfZ`kpefn Z_Xe^\j ]ifd ,*1 G'L kf(&+G'L&$X%Q_Xk `j k_\ iXk`f f] k_\ j\Zfe[ ]fiZ\ kf k_\ ]`ijk $Y%C]k_\ Yf[p `j glcc\[ n`k_ k_\ j\Zfe[ ]fiZ\ ]fi ,*5 j( n_Xk Z_Xe^\

`e m\cfZ`kpi\jlckj:

./* ; YcfZb`j glcc\[ Xcfe^ X_fi`qfekXc jli]XZ\ Yp .(0( 2( Xe[ 4 gXiXcc\cYXe[j f] ilYY\i* ;cc YXe[jXi\ Xc`b\Xe[ \XZ_`j jki\kZ_\[ k_\ jXd\ c\e^k_ `e\XZ_ \og\i`d\ek* N_\ ^iXg_ $@`^*=%j_gnj k_\i\jlck`e^ XZZ\c\iXk`fej gcfkk\[ m\ijlj k_\eldY\i f] YXe[j*

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