meng thesis-a deterministic model for predicting air pollution concentration
TRANSCRIPT
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FEWEAN\BEKV NG M FEVE_BJKJTVJD BNFEA
GN_ MJ_ \NAAUVMKVT DNKDEKV_MVJNK
OZ
M_EHOETNAM OEKIMBJK NAMFM\NO+EKH (D`E* (BJKKM*! \HFB (DMAMOM_*
B+EKH.TEEV.7
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FEDAM_MVJNK
J `ereoz fedamre v`mv v`jt v`etjt jt mk eggnrv bmfe oz be mkf vn v`e oetv ng bz
cknxaefhe! jv `mt knv oeek tuobjvvef jk mkz gnrb gnr mknv`er fehree nr fj|anbm mv
mkz Ukjwertjvz nr jktvjvuvjnk+ Jkgnrbmvjnk epvrmdvef grnb |uoajt`ef mkf uk|uoajt`ef
bmverjmat `mt oeek fuaz mdcknxaefhef jk v`e vepv+
""""""""""""""""""""""""""""""""""""""""""""""""""""""""" """""""""""""""""""""""""""M_EHOETNAM! O+NAMFM\N FMVE
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DE_VJGJDMVJNK
V`jt jt vn dervjgz v`mv v`jt fjttervmvjnk ekvjvaef Fewean|bekv ng m Feverbjkjtvjd
Bnfea gnr Mjr \naauvmkvt Dnkdekvrmvjnk xmt ukfervmcek oz M_EHOETNAM! O+
NAMFM\N jk v`e D`ebjdma Ekhjkeerjkh Fe|mrvbekv! Td`nna ng Ekhjkeerjkh mkf
Ekhjkeerjkh Ved`knanhz! Geferma Ukjwertjvz ng Ved`knanhz! Bjkkm! Kjher Tvmve mkf
xmt m||rnwef gnr jvt dnkvrjouvjnk vn cknxaefhe9
""""""""""""""""""""""""""""""""""""""""""""" """"""""""""""""""""""""""""""""""""
F_ I+N+NFJHU_E FMVE(Tu|erwjtnr*
""""""""""""""""""""""""""""""""""""""""""""""" """"""""""""""""""""""""""""""""""""F_+ G+N+ MOE_UMHOM FMVE
hE k hD ` e b
F e |n g@ e m f
"""""""""""""""""""""""""""""""""""""""""""""" """"""""""""""""""""""""""""""""""""(Epverkma Epmbjker* FMVE
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""""""""""""""""""""""""""""""""""""""""""""" """"""""""""""""""""""""""""""""""""
\_NG+ I+M+ MOMAMCM FMVE (Femk! \ntvhrmfumve Td`nna*
FEFJDMVJNK
Vn v`e Anrf Hnf Mabjh`vz! Tnurde ng maa cknxaefhe! xjtfnb mkf ukfertvmkfjkh+
Vn v`e oaettef bebnrz ng bz femr gmv`er! Amve Eafer Int`um Namvukij Mrehoetnam
(=:46"=:::*+
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MDCKNXAEFHEBEKVT
Bz `emrvgeav m||redjmvjnk hn vn v`e bmkz t|edjma |en|ae x`n `mwe `ea|ef orjkh v`jt
retemrd` xnrc jkvn epjtvekde+ X`jae J vmce guaa ret|nktjojajvz gnr mkz ng jvt jb|ergedvjnk!
J rednhkjte v`mv jvt berjvt mkf gjkfjkht `mwe oeek omtef jk amrhe |mrv nk dnkvrjouvjnkt
mkf jkt|jrmvjnk ng v`nte mrnukf be+
T|edjma v`mkct hn vn v`e Anrf Hnf Mabjh`vz x`n `mt hrmkvef be maa v`mv J keef vn
`mwe gnr epjtvekde+ Maa Xjtfnb mkf Cknxaefhe jt @jt+ @e jt Nbkjtdjekde mkf
Nbkjtdjekv+
T|edjma v`mkct hn vn bz tu|erwjtnr! F_+ I+ N+ Nfjhure+ Znur |mvjekde!
ekdnurmhebekv! drjvjdjtb! fefjdmvjnk mkf tu||nrv `mwe `ea|ef be ep|anre mkf `mt
oeek m tnurde ng jkt|jrmvjnk gnr be+
T|edjma v`mkct hn vn Fr+ C+ _+ Nkjgmfe gnr `jt mttjtvmkde mkf gmv`eraz mfwjde
v`rnuh`nuv bz ukferhrmfumve fmzt mkf gnr v`jt bmtvert |rnhrmbbe+ J d`erjt` `jt
tu||nrv+
T|edjma v`mkct hn vn bz oeanwef bnv`er D`rjtvjmkm Mrehoetnam mkf tjtvert Vebjvn|e!
Nauxmcebj! Nauxmgukbjce mkf Nauxmvnzntj gnr v`ejr ekdnurmhebekv mkf tu||nrv+ Jv
xmt znur uk}uetvjnkjkh oeajeg jk bz mojajvjet v`mv jkt|jref be v`rnuh` vjbe ng fnuov+
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T|edjma v`mkct hn vn Oekefjke Mc|u gnr znur ukteagjt` fefjdmvjnk mkf
dnb|mkjnkt`j|+ Znur grjekft`j| mkf tu||nrv |rnwjfef v`e |ergedv ekwjrnkbekv gnr be
jk tvrjwjkh vn bmce v`jt xnrc m remajvz+
T|edjma v`mkct hn vn maa v`e mdmfebjd! knk"mdmfebjd mkf ved`kjdma tvmgg ng v`e
D`ebjdma Ekhjkeerjkh Fe|mrvbekv! Geferma Ukjwertjvz ng Ved`knanhz! Bjkkm! Kjher
Tvmve+ Znur vrmjkjkh! |uoajdmvjnk mkf mttjtvmkde `mwe `ea|ef jk bmcjkh v`jt xnrc tee
v`e ajh`v ng v`e fmz+
T|edjma v`mkct hn vn v`e Mfeaeze Gmbjaz gnr v`ejr tu||nrv mkf bemkjkhgua dnkvrjouvjnk
et|edjmaaz jk v`e ute ng v`ejr dnb|uver tztveb gnr xrjvjkh v`e dnb|uver |rnhrmb mkf
vz|etevvjkh v`jt xnrc+ Mkf t|edjmaaz vn Nauxmfuktjk Mfeaeze! znu `mwe |rnwef vn oe
m gmjv`gua dnb|mkjnk+ J mb jkfeef hrmvegua+
T|edjma v`mkct hn vn Ekhjkeert Tmcm Mofuacmreeb! Gmvmj Ijbn`! Cnwn Mofuatmambj!
Namaecmk Mfekjzj mkf nv`ert ng Geferma ukjwertjvz ng ved`knanhz! Bjkkm! gnr znur
dnkgjfekde mkf bemkjkhgua dnkvrjouvjnkt+ Znu `mwe bmfe v`e |rndett ng v`jt xnrc mk
motnauve inz+ J geea `nknuref vn `mwe `mf tud` m vmaekvef hrnu| ng |rngettjnkmat vn
xnrc xjv`+
T|edjma v`mkct hn vn \mtvnrt Fmwjf Namfj|n mkf Bjd`mea Maoerv! v`e D`urd`
Dnbbjvvee mkf v`e ekvjre beboert ng D`rjtv M|ntvnajd D`urd` (Ekhajt` Mtteboaz*!
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Cmfukm Fjtvrjdv! Cmfukm+ V`ejr |rmzert mkf hekernut eggnrvt `mwe `ea|ef tutvmjk
be+ Vn Ornv`er Oeaan gnr v`e ute ng `jt dnb|uver+
T|edjma v`mkct hn vn Bmaamb @mttmk _mkj mkf gmbjaz+ \mtvnr Mfefjxurm mkf gmbjaz!
Tjtvert Xukbj Omanhuk! Gukbj Nhukvumte! Wjdvnrjm Nkzebmd`j mkf Ornv`er Hoekhm
Tnonxmae+ V`ejr dnb|mkjnkt`j| `mt bmfe bz ajge wmtvaz bnre guagjaajkh+
T|edjma v`mkct vn bz dnurte bmvet Bmkmtte` Muvm! Bu`mbbmf Majzu! Mofua
Mfmbu! Mkv nkz Ncerece! Ojt`n| Grefrjc! mkf Mkxma Mkxmr+ Znur `ea|gua mkf
tu||nrvjwe geefomdc jk v`e emraz tvmhet ng v`e dnurte jt m||redjmvef+
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MOTV_MDV
M feverbjkjtvjd bnfea gnr |refjdvjkh mjr |naauvjnk dnkdekvrmvjnk xmt ferjwef+ Wmrjnut
etvmoajt`ef |`ztjdma amxt xere utef jk v`e bnfea fewean|bekv+
V`e |retekde ng hmtenut |naauvmkvt jk v`e mvbnt|`ere dmutet fjte}ujajorjm jk v`e
|rewmjajkh bevenrnanhjdma dnkfjvjnk! x`jd` jt jk mddnrfmkde xjv` v`e epjtvjkh hmt amx+
V`jt |rniedv jt mjbef mv fewean|jkh m feverbjkjtvjd bnfea gnr |refjdvjkh hmtenut
|naauvmkvt dnkdekvrmvjnk+
\mrmbevert tud` mt mvbnt|`erjd |retture! mvbnt|`erjd veb|ermvure! xjkf t|eef
mkf wm|nur |retture xere novmjkef grnb Kjherjmk Mjrt|mde Bmkmhebekv Muv`nrjvz!
Bjkkm Mjr|nrv! Bjkkm! mkf xere utef mt jk|uv x`jae v`e nuv|uv xjaa jkdaufe v`e
hmtenut |naauvmkvt dnkdekvrmvjnk+ Maa v`ete xere |uv jk m dnb|uver |rnhrmb gnrbmv
vn tjbuamve v`e epvekv ng |naauvjnk+
Ep|erjbekvma fmvm grnb retemrd` xnrct dmrrjef nuv jk Bjkkm mkf Mouim xere
novmjkef mkf dnb|mref xjv` v`e tjbuamvef retuavt+ V`e ute ng }umajvmvjwe mkmazvjdma
ved`kj}uet vn feverbjke hmtenut |naauvmkvt dnkdekvrmvjnkt v`nuh` `jh`az mddurmve
mkf eggedvjwe `mt kn remfz m||ajdmvjnk jk fewean|jkh dnukvrjet! oedmute ng v`e dntv
jb|ajdmvjnk mkf amdc ng kedettmrz bmk|nxer+
V`e |retekde ng hmtenut |naauvmkvt jk v`e mvbnt|`ere dmutet fjte}ujajorjm jk v`e
|rewmjajkh bevenrnanhjdma dnkfjvjnk! x`jd` jt jk mddnrfmkde xjv` v`e epjtvjkh hmt amx+
wjjj
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V`jt |rniedv jt mjbef mv fewean|jkh m feverbjkjtvjd bnfea gnr |refjdvjkh hmtenut
|naauvmkvt dnkdekvrmvjnk+ V`e fewean|ef bnfea jt |retekvef mt
2 ?4ep|
CV
\u
D
\NAAUVMKV
\NAAUVMKV
V`e tjbuamvjnk retuavt gnr dnkdekvrmvjnk ng mjr |naauvmkvt mkf v`e fmjaz mwermhe ng
v`ete dnkdekvrmvjnkt xere gnukf vn oe dnb|mrmoae xjv` v`e ep|erjbekvma retuavt
novmjkef grnb v`e wmrjnut mhekdjet+
V`eregnre! v`e |rn|ntef bnfea dmk terwe mt m vnna gnr |refjdvjkh mjr |naauvmkvt
dnkdekvrmvjnk jk |rniedvt v`mv re}ujre v`e nwermaa jb|mdv ng |naauvjnk+ Jv jt knv tujvmoae
jk dmte x`ere v`e dnkdekvrmvjnk ng m |mrvjduamr |naauvmkv jt re}ujref
jp
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VMOAE NG DNKVEKVT
Vjvae \mhe " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " j
Dervjgjdmvjnk " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " "jj
Fefjdmvjnk " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " jjj
Fedamrmvjnk " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " "jw
Mdcknxaefhbekv t " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " "w
Vmoae Ng Dnkvekvt " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " "wjj
Ajtv Ng Gjhuret Mkf Vmoaet " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " p
Motvrmdv " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " pj
D@M\VE_ NKE9 Jkvrnfudvjnk
=+= Omdchrnukf Jkgnrbmvjnk
=+? \naauvmkvt Mkf V`ejr Tnurdet Jk Bjkkm+
=+4 Iutvjgjdmvjnk
=+6 Mjbt Mkf Noiedvjwet
=+5 Tdn|e Mkf Ajbjvmvjnkt ng V`e Tvufz
D@M\VE_ VXN9 Ajvermvure _ewjex
?+= \naauvjnk
?+? Mvbnt|`ere
?+?+= Andmvjnk Mkf Dm|mdjvz
?+?+? Dnb|ntjvjnk Ng V`e Mvbnt|`ere
?+4 Mjr \naauvjnk
?+4+= Mjr \naauvmkvt
?+4+? Tnurdet Ng Mjr \naauvmkvt
p
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?+4+4 Eggedvt Ng Mjr \naauvjnk
?+4+6 Nuvdnbe Ng Mjr \naauvmkvt Jk V`e Mvbnt|`ere
?+6 Hekerma _eamvjnkt`j|t
?+6+= Hmt Amxt
?+6+? Vnvma \retture
?+6+4 Fjggutjwjvz
?+6+6 Wm|nur \retture
?+5 Bnfeajkh Mkf Tjbuamvjnk
?+5+= Feverbjkmvjnk ng Mjr \naauvmkvt dnkdekvrmvjnk oz ]umkvjvmvjwe
Mkmaztjt+
?+5+? Fefudvjnk
?+7 Mjr ]umajvz Bnfeat
?+7+= Onp Bnfeat
?+7+? \rn|nrvjnkma Bnfeat
?+7+4 Humttjmk Bnfeat
?+7+6 Dnktvrudvjnk ng Humttjmk Bnfeat
D@M\VE_ V@_EE9 Fewean|bekv ng m Feverbjkjtvjd Bnfea gnr Mjr \naauvmkvt
Dnkdekvrmvjnk
4+= Fetdrj|vjnk ng v e Tvufz Mrem
4+? Mttub|vjnkt gnr v`e Bnfea
4+4 \mrmbevert gnr v e Bnfea
4+4+= Jfema Hmt Amx
4+4+? Fektjvz
pj
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4+4+4 Vnvma \retture
4+4+6 Xjkf mkf Fjt|ertjnk
4+4+5 Fjggutjwjvz
4+4+7 Bmtt Vrmkt|nrv
4+6 Fewean|bekv ng v`e Bnfea E}umvjnkt+
4+5 Tjbuamvjnk \rndefure
4+5+= Tvmvebekv ng \rnoaeb
4+5+? Bmv ebmvjdma Fetdrj|vjnk
4+5+4 Mahnrjv`b Fewean|bekv
4+5+6 Dnb|uver Jb|aebekvmvjnk
D@M\VE_ GNU_9 Bevenrnanhjdma mkf Ep|erjbekvma Fmvm
6+= Bevenrnanhjdma Fmvm
6+? Ep|erjbekvma Fmvm
D@M\VE_ GJWE9 _etuavt! Fjtduttjnk ng _etuavt mkf Dnkdautjnk
_etuavt
5+? Fjtduttjnk ng _etuavt
5+4 Dnkdautjnk
_egerekdet
M||ekfjp
pjj
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AJTV NG VMOAET
Vmoae ?+= Dnb|ntjvjnk ng Daemk! Frz Mjr+
Vmoae ?+? Hanoma Ebjttjnk gnrb Kmvurma mkf Mkv rn|nhekjd Tnurdet+
Vmoae ?+4 Bev`nft gnr mkmaztjkh Mjr \naauvmkvt+
Vmoae 6+= Bevenrnanhjdma Fmvm grnb Kjherjmk Mjrt|mde Bmkmhebekv Muv`nrjvz!
Bjkkm+
Vmoae 6+? Fmvm nk Ekwjrnkbekvma Bnkjvnrjkh ng tnbe Mjr \naauvmkvt mkf
\mrvjduamvet dnkdekvrmvjnk ng v`ree mremt xjv`jk Bjkkm Bukjdj|ma+
Vmoae 6+4 _etuavt ng v`e Mjr ]umajvz Mttettbekv dmrrjef nuv jk tnbe teaedvef
Mremt jk Mouim+
Vmoae 5+= \naauvmkvt dnkdekvrmvjnkt utjkh v`e ferjwef Bnfea+
Vmoae 5+? Bnkv`az Mwermhe ng \naauvmkv dnkdekvrmvjnk novmjkef utjkh v`e Bnfea+
Vmoae 5+4 Bnkv az Mwermhe Dnb|uvef grnb Vmoae 6+4+
Vmoae 5+6 Fmjaz Mwermhe Dnb|uvef grnb Vmoae 6+?+
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AJTV NG GJHU_ET+
Gjhure ?+= Onp Bnfea+
Gjhure 4+= Ganxd`mrv gnr v`e dnb|uver |rnhrmb+
=6
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D@M\VE_ NKE
=+< JKV_NFUDVJNK
=+= OMDCH_NUKF
V`e }umajvz ng mjr mkf xmver jt bntv wjvma vn v`e epjtvekde ng ajwjkh nrhmkjtbt nk emrv`+
Fet|jve v`e moukfmkde ng v`ete kmvurma retnurdet jk v`e xnraf mt m x`nae! mk
mamrbjkh |rn|nrvjnk ng v`e xnraft |n|uamvjnk amdct mddett vn remtnkmoaz tmge mjr vn
oremv`e mkf xmver vn frjkc+ V`jt jkdremtjkh feverjnrmvjnk jk mjr }umajvz mt m retuav ng
ednknbjd mkf `ubmk fewean|bekv mdvjwjvjet! |ntet terjnut v`remvt vn `emav` ng v`e
ajwjkh nrhmkjtbt jk bmkz |mrvt ng v`e xnraf+ V`jt jt jrnkjdma+ Ednknbjd fewean|bekv
`mt kubernut |ntjvjwe oekegjvt ouv jvt oz"|rnfudvt dnuaf oe fevrjbekvma+ V`eregnre! jk
nrfer vn ukfertvmkf v`e ekwjrnkbekvma jb|mdv ng fewean|bekv mkf oevver vmrhev
`ubmk mkf ved`knanhjdma jkverwekvjnkt! xe butv ukfertvmkf mkf fewjte gukfmbekvma
dnkvrna bemturet ng |naauvjnk+ V`jt |rniedv jt nke tud` mvveb|v+
Mjr dnktjtvt bmjkaz ng kjvrnhek mkf npzhek! xjv` nv`er dnb|nkekvt (dmronk fjnpjfe!
mrhnk e+v+d* jk bjkuve }umkvjvjet+ @ubmk mdvjwjvjet tud` mt dnncjkh! out` ourkjkh!
dnboutvjnk ekhjket e+v+d! maxmzt retuav jk tnbe oz"|rnfudvt e+h+! dmronk bnknpjfe!
kjvrnhek npjfet! tua|`ur npjfet! e+v+d! oejkh ebjvvef jkvn v`e mvbnt|`ere+ \retekvaz
v`e `jh` dnkdekvrmvjnkt ng v`ete oz"|rnfudvt nr |naauvmkvt `mwe retuavef hanomaaz jk m
kuboer ng jrrewertjoae fmbmhet jk v`e edntztveb+ V`ut mjr |naauvjnk dmk oe fegjkef
jk m ornmf dnkvepv mt v`e jkvrnfudvjnk jkvn v`e ekwjrnkbekv ng xmtve! bmverjma! nr
ekerhz `mwjkh kn gurv`er wmaue! mt m retuav ng kmvurma mkf `ubmk mdvjwjvjet tud` mt vn
dmute m tvrett nr ukgmwnurmoae mavermvjnk ng jkfjwjfuma nrhmkjtb! m dnbbukjvz! nr mk
edntztveb (Bjaaer! =:85*+
=5
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\naauvmkvt dmk oe ornmfaz dmvehnrjtef oz v`ejr jb|mdv nk `ubmk `emav`! ednknbjd
mdvjwjvz! mkf edntztveb gukdvjnkt mkf oz v`ejr t`nrv mkf ankh ruk eggedvt+ Tud`
|naauvmkvt jkdaufe dmronk bnknpjfe! kjvrnhek npjfet! tua|`ur npjfet! jktedvjdjfma mkf
|etvjdjfma futvjkh! tnnv mkf mt`+ Tnurdet ng v`ete |naauvmkvt jkdaufe bukjdj|ma
mdvjwjvjet tud` mt regute fjt|ntma! guea gjref dnboutvjnk |rndettet! bnvnr we`jdaet!
fnbetvjd `emvjkh mkf dnncjkh mdvjwjvjet e+v+d+
U|nk ebjttjnk jkvn v`e mvbnt|`ere! mjr |naauvmkvt mre vrmkt|nrvef v`rnuh` v`e
mvbnt|`ere oz xjkf durrekvt grnb v`ejr |njkvt ng reaemte vn fnxkxjkf rede|vnrt+
V`ez mre fjt|ertef mkf fjauvef tn v`mv mk ebjttjnk! vnpjd mv jvt reaemte |njkv! bmz oe
`mrbaett mv hrnukf aewea fnxkxjkf+ V`e fjt|ertjnk mkf fjauvjnk ng |naauvmkvt mre
dnkvrnaaef oz bevenrnanhjdma |mrmbevert! mvbnt|`erjd tvmojajvz! xjkf t|eef mkf
fjredvjnk+
Kmvure `mt |rnwjfef tewerma daemktjkh bed`mkjtbt gnr v`e rebnwma ng |naauvmkvt jkv`e mvbnt|`ere+ V`ete kmvurma |rndettet jkdaufe xmt`nuv! rmjknuv! hrmwjvmvjnkma
tevvajkh mkf vurouaekv jb|mdvjnk+ Jv t`nuaf oe knvef! `nxewer! v`mv mv v`e |retekv aewea
ng fewean|bekv v`e rmve ng kmvurma daemktjkh jt jkfeef tanxer v`mk v`e rmve ng
jkiedvjnk ng |naauvmkvt jkvn v`e mvbnt|`ere+ V`jt v`ek jkgnrbt v`e keef vn danteaz
bnkjvnr mkf dnkvrna ebjttjnk ng |naauvmkvt jkvn v`e mvbnt|`ere+
=+? \NAAUVMKVT MKF V@EJ_ TNU_DET JK BJKKM+
Bjkkm Djvz jt v`e dm|jvma ng Kjher Tvmve! nke ng v`e 47 Tvmvet jk Kjherjm+ Bjkkm jt
|refnbjkmkvaz retjfekvjma xjv` werz gex dnvvmhe jkfutvrjet! fekteaz |n|uamvef mv v`e
=7
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8/9/2019 MENG Thesis-A deterministic model for predicting air pollution concentration
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dekvrma mrem (|n|uamraz dmaaef Bnoja* xjv` anx fektjvz mv v`e nuvtcjrv+ Fue vn jkdremtjkh
ednknbjd mdvjwjvjet mkf reamvjweaz |emdegua ekwjrnkbekv! v`ere jt m rebmrcmoae jkgaup
ng |en|ae jkvn v`e djvz mkf v`ut jkdremtef kuboer ng dmrt+
Tewerma tnurdet ng |naauvmkvt dmk oe jfekvjgjef jk Bjkkm+ V`ete jkdaufe dmrt mkf
nv`er jkverkma"dnboutvjnk ekhjket nr hekermaaz! gnttja guea frjwek we`jdaet+ V`ete
`mwe dnkvrjouvef vn hnnf tvmkfmrf ng ajwjkh ekinzef oz v`e |n|uamde ouv v`ejr
dnboutvjnk |rndettet `mwe retuavef jk v`e |rnfudvjnk ng dmronk fjnpjfe! dmronk
bnknpjfe! d anrngaunrndmronk (DGD*! kjvrnhek npjfet v`mv mre cknxk mt v`e
Hreek`nute Hmtet (H@H*+ Fnbetvjd dnncjkh mkf `emvjkh jt amrheaz dmrrjef nuv xjv`
gjrexnnf mkf cernteke tvnwet+ V`ete matn |rnfude wmrjnut hmtet mt xeaa mt tnnv!
mkf gazjkh mt` v`mv mre ewekvumaaz fjtd`mrhef jkvn v`e mvbnt|`ere+ V`e mbnukv ng
|naauvmkvt ebjvvef oz out` ourkjkh! fednb|ntjvjnk ng mhrjduavurma xmtvet |er`m|t
bmz knv oe tjhkjgjdmkv! ouv jv dnkvrjouvet vn v`e nwermaa dnkvmbjkmkv dnkdekvrmvjnk jk
v`e mvbnt|`ere+
=+4 IUTVJGJDMVJNK NG V@E TVUFZ
V`e ewer"jkdremtjkh rmvet ng jkfutvrjmajtmvjnk mkf uromkjtmvjnk xjv` v`ejr mvvekfjkh
ekwjrnkbekvma dmambjvjet `mwe ornuh`v mvvekvjnk nk |naauvjnk bnkjvnrjkh mkf dnkvrna+
Kubernut retemrd` xnrc `mwe oeek ukfervmcek! v`ut v`ere jt mfe}umve jkgnrbmvjnk
nk v`e wmrjnut ekwjrnkbekvma |naauvmkvt! `nx vn jfekvjgz v`eb! v`ejr tnurdet mkf
ekwjrnkbekvma jb|mdv+ @nxewer v`e bnkjvnrjkh mkf dnkvrna ng v`ete |naauvmkvt jt }ujve
ep|ektjwe+
=8
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8/9/2019 MENG Thesis-A deterministic model for predicting air pollution concentration
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Tewerma aehjtamvjnkt `mwe oeek |mttef nk v`e }umajvz ng mjr+ Vn ekgnrde v`eb! v`e
epvekv ng |naauvjnk butv oe }ujdcaz mkf nk v`e t|nv mtdervmjkef+ Nke ng v`e xmzt vn
ukfervmce v`jt jt vn bemture |rewmjajkh mvbnt|`erjd mkf bevenrnanhjdma |mrmbevert!
|rndett v`ete fmvm mkf dnbe nuv xjv` gmdvnrt v`mv dmk oe utef vn ewmaumve v`e epvekv
ng |naauvjnk+
Kkmbfj (?
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8/9/2019 MENG Thesis-A deterministic model for predicting air pollution concentration
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fewean|ef utjkh |mrmbevert grnb Bjkkm! ouv jv dmk tvjaa oe m||ajef vn nv`er andmvjnkt
mt ankh mt v`e kedettmrz wmrjmoaet mre mddurmveaz bemturef+ V`e `jh` aewea
amkhumhe vn oe utef gnr v`e dnb|uver |rnhrmbbjkh jt GN_V_MK+
=:
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8/9/2019 MENG Thesis-A deterministic model for predicting air pollution concentration
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D@M\VE_ VXN
?+< AJVE_MVU_E _EWJEX
?+= \NAAUVJNK
Ajge jk mk edntztveb jt tu||nrvef oz jkverreamvjnkt`j|t oevxeek mbnkh v`e
nrhmkjtbt+ V`jt jkverreamvjnkt`j| dmaaef gnnf xeo! jkfjdmvet v`e nrhmkjtbt v`mv mre
tnurde ng gnnf gnr nv`er nrhmkjtbt+ Mk edntztveb jt bnre tvmoae x`ek v`e vz|et ng
nrhmkjtb jk jv mre fjwerte mkf v`e gnnf xeo dnb|aep+ V`jt jt v`e remtnk x`z v`e
ednanhjtv t|emct ng |naauvjnk mt mkzv`jkh v`mv fedremtet fjwertjvz(Wetjajkf! =:8:*
mkf v`jt dremvet m aett tvmoae ednanhjdma tztveb+ \rnoaebt mrjte! `nxewer! x`ek
tnbe |naauvmkvt (e+h+! `emv* dmk mdvumaaz jkdremte fjwertjvz+ Fue vn v`ete |rnoaebt!
v`eregnre! v`ere `mwe oeek wmrjnut mvveb|vt oz tdjekvjtvt! dnbbjttjnkt! |rngettjnkma
nrhmkjymvjnkt! mkf nv`ert vn fegjke v`e verb |naauvjnk/+ Vn hjwe bemkjkh vn v`e xnrf
|naauvjnk! tnbe ng v`e bntv xjfeaz utef nr bnre jbmhjkmvjwe mvveb|vt xjaa oe
bekvjnkef oeanx jk nrfer vn m||redjmve v`e epvekv ng fmbmhe v`mv `mt mkf xjaa oe
fnke jg v`e vrekf jt knv d`edcef mkf dnrredvef+
M bnre |rmdvjdma fegjkjvjnk bjh`v oe v`e |retekde ng mkzv`jkh jk ukfetjrmoae amrhe
dnkdekvrmvjnkt! rednhkjyjkh v`mv tnbe |naauvjkh tuotvmkdet mre `mrbaett nr ewek
oekegjdjma jk tbmaa }umkvjvjet (@mrfz! =:85*+ M hnwerkbekv dnbbjttjnk! Dnbbjttjnk
gnr Daemk Mjr! omtef jvt ekvjre re|nrv nk v`e |rebjte v`mv |naauvjnk jt mkzv`jkh
fjtd`mrhef jkvn xmver! mjr nr amkf/+ V`ut! m dnx jk m bemfnx xnuaf }umajgz! mt m
tnurde ng |naauvmkvt (Cmrfetvukder! =:8:*+
?
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Oz fegjkjkh |naauvjnk mt mkzv`jkh fjtd`mrhef jkvn v`e ekwjrnkbekv! v`e |rnoaeb ng
fegjkjvjnk jt kemvaz tnawef! ouv v`e ute ng v`jt fegjkjvjnk jk m |rmdvjdma tekte jt fjggjduav+
Gnr jktvmkde! jg m tvremb jt utef mt mk n|ek terwer! jv jt oekegjdjma! tn jv dmkknv oe
fjtvjkdvaz regerref vn mt oeek |naauvef+
V`e fegjkjvjnk |retekvef oz Bjaaer (=:85* jt bnre mhreemoae! v`mv |naauvjnk dmk oe
fegjkef jk m ornmf dnkvepv mt v`e jkvrnfudvjnk jkvn v`e ekwjrnkbekv ng xmtvet!
bmverjmat! nr ekerhz `mwjkh kn gurv`er wmaue! mt m retuav ng kmvurma mkf `ubmk mdvjwjvz
tn mt vn dmute m tvrett nr ukgmwnurmoae mavermvjnk ng mk jkfjwjfuma nrhmkjtb! m
dnbbukjvz! nr mk edntztveb+
Xjv` v`jt fegjkjvjnk! d`anrjkmvef"`zfrndmronk |etvjdjfet dmk remfjaz oe damttjgjef mt
|naauvmkvt+ Tjbjamraz! gaunrndmronkt utef jk t|rmz dmkt! x`jd` jk maa |rnomojajvz
mfwerteaz mggedv v`e nynke amzer |rnvedvjkh v`e emrv` uavrmwjnaev rmfjmvjnkt! xnuaf oe m
|naauvmkv+
@nxewer jv jt jb|nrvmkv vn knve mt Wetjajkf (=:8:* |njkvef nuv v`mv kn fegjkjvjnk jt
|ergedv ouv kewerv`eaett! jv t`nuaf oe eb|`mtjyef v`mv |naauvjnk
jt dmutef oz |en|ae3
jt m xmtve (m retjfuma*3
dmk oe m bmverjma nr m gnrb ng ekerhz3
re|retekvt m antt ng wmaue (vn `emav`! edntztveb! evd*+
?=
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8/9/2019 MENG Thesis-A deterministic model for predicting air pollution concentration
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?+? MVBNT\@E_E
?+?+= ANDMVJNK MKF DM\MDJVZ
Vn fjtdutt x`mv jv bemkv oz mjr jt |naauvef nr refudvjnk jk v`e }umajvz ng mjr! jv jt
kedettmrz vn ukfertvmkf x`mv v`e mvbnt|`ere jt! jvt dnb|ntjvjnk mkf dm|mdjvz+ V`e
mvbnt|`ere jt v`e amzer ng mjr v`mv turrnukft v`e emrv`+ Jv jt |rnomoaz =7< cjanbevert
v`jdc! ouv bnre v`mk `mag ng jvt vnvma xejh`v jt jk v`e 7 cjanbevert iutv monwe v`e
turgmde ng v`e emrv`+ V`e emrv`t mvbnt|`ere jt jb|nrvmkv vn verretvrjma ajge+ Jv jt
oeajewef vn `mwe fewean|ef jk jvt |retekv gnrb gnr tnbe 45< bjaajnk zemrt mhn x`ek
epvektjwe wehevmvjnk dnwer nrjhjkmvef nk amkf+ Jvt |retekde |rnwjfet mk
jkfjt|ektmoae t`jeaf grnb `mrbgua rmfjmvjnk grnb v`e tuk mkf jvt hmtenut dnkvekv
tutvmjkt v`e |amkv mkf mkjbma ojnt|`ere (Omrrz ev ma! =:873 Gmjv` ev ma! =:8?*+
V`e u||er |nrvjnk ng v`e mvbnt|`ere jt dmaaef v`e tvrmvnt|`ere! mkf v`e anxer|nrvjnk! v`e vrn|nt|`ere+ V`e tvrmvnt|`ere jt mk jtnv`erbma rehjnk ("7
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8/9/2019 MENG Thesis-A deterministic model for predicting air pollution concentration
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fjnpjfe mkf Mrhnk (m||rnp+ Npzhek ?
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8/9/2019 MENG Thesis-A deterministic model for predicting air pollution concentration
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injkef oz dmrt! t`j|t! mern|amket! `nutet mkf m `ntv ng jkfutvrjet mt |naauvert ng v`e
mjr! mkf v`jt jt dmutjkh m anv ng xnrrz (Tdnrer! =:84*+
Omtjdmaaz! mjr |naauvjnk jt v`e |retekde ng gnrejhk tuotvmkdet jk v`e mjr (Gmjv` ev ma!
=:8?*+ V`jt fegjkjvjnk mffrettet nkaz gnrejhk tuotvmkdet! dmronk fjnpjfe! gnr
epmb|ae! jt knv gnrejhk vn v`e mvbnt|`ere mkf mt jv mddubuamvet! jv `mt fevrjbekvma
eggedv nk ajwjkh v`jkht mkf bmverjmat+ M gurv`er turwez ng v`e mvveb|vt vn fegjke v`e
verb mjr |naauvjnk jt hjwek oeanx+ Dmamdevn (=:8=* tvmvet v`mv mjr |naauvjnk dnktjtvt ng
|mrvjduamvet nr jb|urjvjet v`mv mre tut|ekfef jk nr dnkwezef oz m bnwjkh tvremb ng
hmt nr mjr+ V`jt |naauvmkv bmz epjtv jk aj}ujf gnrb (dnbbnkaz fetdrjoef mt bjtv*! mt
hmtenut gube! nr mt m tnajf |mrvjduamve bmvver jkdaufjkh futv+ @e dnktjferef mjr
|naauvmkvt nkaz grnb v`e |mrvjduamve (tnajft* |njkv ng wjex3 knpjnut hmtet v`mv dmkknv
oe dnaaedvef bed`mkjdmaaz xere knv dnktjferef+
Teaa (=:0=* fegjkef mjr |naauvjnk mt v`e mffjvjnk vn v`e mvbnt|`ere ng mkz bmverjma(t*
`mwjkh m feaeverjnut eggedv nk ajge+ M bnre t|edjgjd fegjkjvjnk ng mjr |naauvjnk `mt oeek
fewean|ef oz v`e Ekhjkeerjkh Injkv Dnukdja (Ojt`n|! =:58*9 mjr |naauvjnk bemkt v`e
|retekde jk v`e nuvfnnr mvbnt|`ere ng nke nr bnre dnkvmbjkmkvt! tud` mt futv!
gubet! hmt! bjtv! nfnur! tbnce! nr wm|nur! jk }umkvjvjet! d`mrmdverjtvjd mkf furmvjnk
tud` mt vn oe jkiurjnut vn `ubmk! |amkv! nr mkjbma ajge nr vn |rn|ervz! nr x`jd`
ukremtnkmoaz jkvergere xjv` v`e dnbgnrvmoae ekinzbekv ng ajge mkf |rn|ervz+ Jv `mt
oeek noterwef v`mv jkfnnr `ubmk mdvjwjvjet mggedv mjr }umajvz vn m bud` hremver epvekv
v`mk nuv fnnrt! |mrvjduamraz jk tbmaa xnrc mremt (_mn! ?
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V`e Xnraf @emav` Nrhmkjymvjnk (X@N* ng v`e Ukjvef Kmvjnkt (UK* fegjkef mjr
|naauvjnk jk v`e gnaanxjkh xmz9 mjr jt |naauvef x`ek nke nr tewerma |naauvmkvt mre
|retekv jk v`e mvbnt|`ere mv tud` m dnkdekvrmvjnk mkf gnr tn ankh m vjbe v`mv v`ez
mre `mrbgua vn bmk! mkjbmat! |amkv mkf bmverjma |rn|ervz! dmute `mrb nr refude xeaa"
oejkh nr fjtvuro m||redjmoaz jvt m||ajdmvjnk (Ormuer! =:0=*+
?+4+= MJ_ \NAAUVMKVT
V`e fewean|bekv ng ved`knanhz oz bmk jk m ojf vn emte amonur! bmce vrmwea gmtver
mkf dnkwekjekv! |rnfude bnre xjv` ajbjvef vjbe mkf t|mde! e+v+d! `mt retuavef jk
|rnfudvjnk ng wmrjnut xmtvet v`mv mre fub|ef nk v`e emrv` turgmde! jk xmver mkf
ebjvvef jkvn v`e mjr+ \naauvjnk rmve dnkvjkuet vn jkdremte gmtver v`mk v`e |n|uamvjnk
hrnxv` rmve et|edjmaaz mt v`e |en|ae `mwe oednbe |rnt|ernut+ Vn ajwe xe keef
ved`knanhz! mkf v`mv bemkt |naauvjnk-
Mk mjr }umajvz tvmkfmrf tmzt! V`e dnkdekvrmvjnk ng m |naauvmkv jk v`e mvbnt|`ere mvv`e |njkv ng bemturebekv t`maa knv oe hremver v`mk tnbe t|edjgjef mbnukv+ V`jt
bemkt v`mv dervmjk eaebekvt ajce dmronk bnknpjfe mkf kjvrnhek npjfet mre
fmkhernut |naauvmkvt x`ek |retekv jk mjr oeznkf m fegjkef dnkdekvrmvjnk+ Jv jt maxmzt
v`e dnkdekvrmvjnk" v`e fnte" v`mv bmcet m |naauvmkv (Tverk! =:8=*+Mjr |naauvmkvt mre
damttjgjef jkvn vxn dmvehnrjet9 |rjbmrz mkf tednkfmrz |naauvmkvt+ V`e fjtvjkdvjnk
oevxeek v`e vxn |naauvmkv dmvehnrjet jt bmfe mddnrfjkh vn v`e bmkker oz x`jd` v`e
|naauvmkvt mre jkvrnfudef jkvn v`e mvbnt|`ere (Tmbueatnk! =:0
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"Tednkfmrz |naauvmkvt mre v`nte gnrbef oz d`ebjdma |rndettet jk v`e
mvbnt|`ere j+e+ v`ez mre gnrbef v`rnuh` v`e remdvjnk ng |rjbmrz |naauvmkvt+
Epmb|aet ng |rjbmrz |naauvmkvt mre dmronk bnknpjfe! kjvrnhek npjfe! kjvrnhek
fjnpjfe! tua|`ur fjnpjfe! |mrvjduamvet mkf wmrjnut `zfrndmronkt+ Epmb|aet ng
tednkfmrz |naauvmkvt mre |`nvnd`ebjdma npjfmkvt mkf tua|`mvet+ Bjdrnnrhmkjtbt v`mv
mre |retekv jk v`e mjr mre |naauvmkvt+ \naauvmkv nrhmkjtbt jkdaufe omdverjm! wjrutet!
t|nret ng ajd`ekt mkf gukhj! tbmaa mahma mkf |rnvnynmk dztvt+ V`ejr kuboert mkf
vz|et xjaa wmrz fe|ekfjkh nk v`e vjbe ng fmz! temtnk! andmvjnk mkf `ubjfjvz (Fmrv!
=:88*+
Grnb v`e wmrjnut fegjkjvjnkt! jv jt daemr v`mv |naauvmkvt mre knv ajbjvef vn nkaz hmtet ouv
mkzv`jkh jk v`e mvbnt|`ere v`mv jt jkiurjnut vn bmk! ganrm! gmukm mkf ewek knk"ajwjkh
v`jkht+ Mjr |naauvmkvt v`mv |erwmfe v`e ekwjrnkbekv mre kubernut mkf ebmkmve grnb
wmrjnut tnurdet+ V`ete wmrjnut vz|et jkdaufe9
j+ Jknrhmkjd hmtet " TN?! KN! DN?! @?T
jj+ Nrhmkjd wm|nurt " `zfrndmronkt! berdm|vmkt! madn`nat! cevnket+
jjj+ \mrvjduamvet " tbnce! |etvjdjfet mkf merntna t|rmzt! futv! gubet! bjtv
jw+ Jkerv tuotvmkdet " |naaek hrmjkt! gaz mt`
w+ Npjfmkv " nynke
wj+ Nfnurt
Mknv`er fjtvjkdvjnk jt bmfe oevxeek tvmoae (dnkterwmvjwe* mkf uktvmoae (knk"
dnkterwmvjwe* |naauvmkvt (_mu! =:0
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tua|`ur fjnpjfe mkf |mrvjduamvet+ Uktvmoae |naauvmkvt mre v`nte v`mv mdvjweaz
|mrvjdj|mve jk v`e gnrbmvjnk ng tednkfmrz |naauvmkvt+ V`ez jkdaufe kjvrnhek npjfe!
kjvrnhek fjnpjfe! nynke mkf dervmjk `zfrndmronkt+
?+4+? TNU_DET NG MJ_ \NAAUVJNK
\naauvmkvt ng mjr mre |rnfudef jk tewerma xmzt mkf dnbe mre wmrjnut tnurdet+ V`ere
mre tewerma damttjgjdmvjnkt ng v`ete tnurdet+ Tmbueatnk (=:0
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8/9/2019 MENG Thesis-A deterministic model for predicting air pollution concentration
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VMOAE ?+? HANOMA EBJTTJNKT G_NB KMVU_MA MKF MKV@_N\NHEKJD
TUOTVMKDE \E_DEKVMHE NG EBJTTJNK MKF TNU_DETT.K MKKUMA HANOMA
EBJTTJNK (VNKT*
KMVU_MA TNU_DET MKV@_N\NHEKJD
TNU_DET
=+ Tua|`ur fjnpjfe! TN?
66 p =
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ekwjrnkbekv jt ekfmkheref |refnbjkmkvaz oz v`e gex |erdekv ng hanoma ebjttjnkt
grnb mkv`rn|nhekjd tnurdet+ Tjp bminr vz|et ng mkv`rn|nhekjd tnurdet `mwe oeek
jfekvjgjef+ V`ez mre9
Vrmkt|nrvmvjnk 9 bnvnr we`jdaet! rmja bnukvef we`jdaet! mern|amket mkf wetteat+
Fnbetvjd.dnbberdjma `emvjkh mkf |nxer hekermvjnk 9 xnnf! hmt "! nja"! mkf
dnma "gjref gurkmdet utef vn |rnfude `emv nr |nxer gnr jkfjwjfuma fxeaajkht!
dnbberdjma etvmoajt`bekvt! uvjajvjet! mkf jkfutvrz+
Bukjdj|ma mdvjwjvz 9 _egute fjt|ntma! aj}ujf xmtve fjt|ntma! rnmf mkf tvreev |amkv
n|ermvjnk! mkf guea"gjref dnboutvjnk |rndettet+
Mhrjduavurma mdvjwjvz 9 dnb|ntv bmkurjkh! jktedvjdjfma mkf |etvjdjfma futvjkh mkf
t|rmzjkh! ourkjkh ng wehevmvjnk mkf gnretv gjret+
Jkfutvrjma mkf |rndett ebjttjnk 9 Wekvjamvjnk |rnfudvt grnb andma ep`mutv
tztvebt! |rndett xmtve fjt|ntma oz dnboutvjnk |rndettet
Gmaanuv9 V`jt jt v`e verb m||ajef vn rmfjnmdvjwe |naauvmkv jk bmtt mvbnt|`ere
retuavjkh grnb v`erbnkudaemr ep|antjnk+
Jkfutvrjma guea ourkjkh mkf |rndett ebjttjnk (jkfutvrjma tnurdet* dnkvrjouvet monuv
?
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8/9/2019 MENG Thesis-A deterministic model for predicting air pollution concentration
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mkf we`jdae vrj|t aekhv`t+ V`e tnurdet jkdaufe muvnbnojaet! vrudct! outet! mjrdrmgv!
t`j|t mkf rmjarnmf dmrt+
Tvmvjnkmrz ebjttjnk mre hekermvef mt v`e retuav ng gukdvjnkt tud` mt fnbetvjd mkf
dnbberdjma `emvjkh! oz"|rnfudvt ng jkfutvrjma |rndettet v`mv mre wekvef vn v`e mjr!
tnajf xmtve jkdjkermvjnk! |nxer |amkv ebjttjnk! mkf tbnce mkf nfnurt grnb jkfutvrjma
mdvjwjvjet+ V`e tnurdet jkdaufe eaedvrjd |nxer uvjajvz onjaert! dnbberdjma mkf fnbetvjd
onjaert mkf gurkmdet! regjkerjet mkf jkfutvrjma |rndettet+
Tnbe |naauvmkv tnurdet! `nxewer! mre m dnbojkmvjnk ng bnojae mkf tvmvjnkmrz
tnurdet! v`ez mre regerref vn mt dnb|nukf tnurdet+ V`ez jkdaufe mjr|nrvt! mkf uromk
dnbbukjvjet+ M gjkma dmvehnrz jt v`e jkfjredv tnurdet+ V`ete mre |amkv! jktvmaamvjnkt nr
mdvjwjvjet v`mv `mwe m tjhkjgjdmkv mbnukv ng bnojae mdvjwjvz mttndjmvef xjv jvt
n|ermvjnk mkf ute+ Epmb|aet ng v`ete tnurdet mre rnmfxmzt! mjr|nrvt mkf |mrcjkh
gmdjajvjet+ \mrcjkh gmdjajvjet jkdaufe t`n||jkh dekvert! t|nrv dnb|aepet! amrhe
mbutebekvt gmdjajvjet! evd+
Mknv`er dmvehnrjymvjnk jkvrnfudef oz Ormuer ev ma (=:0=* jt omtef nk |naauvmkv
ebjvvef grnb tnurdet fegjkef oz v`ejr (m* tjye (o* tvrekhv` mkf (d* t|edjet ng
|naauvmkvt+ Xjv` dervmjk tjb|ajgjdmvjnk! v`e tnurdet ng |naauvmkvt ebjttjnk bmz oe
fjwjfef jkvn vxn hrnu|t9
j+ Jkfe|ekfekv tjkhae tnurdet (nr |njkv tnurdet*9 gmdvnrjet! regjkerjet e+v+d+
jj+ Gjeaft ng tnurdet (mrem tnurdet*9 dnncjkh gubet grnb retjfekvjma mremt+
?+4+4 EGGEDVT NG MJ_ \NAAUVJNK
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Maa v`e fegjkjvjnkt ng mjr |naauvjnk mhree xjv v`e gmdv v`mv v`e |naauvmkvt `mwe
feaeverjnut nr jkiurjnut eggedv nk `ubmk! |amkvt! mkf mkjbma ajge! mkf remtnkmoaz
jkvergere xjv` v`e dnbgnrvmoae ekinzbekv ng ajge mkf |rn|ervz+ Ukgnrvukmveaz ewerzv`jkh
jk dnkvmdv xjv` v`e mvbnt|`ere jt ep|ntef vn v`e |naauvmkvt dnkvmjkef jk v`e mjr
|naauvmkvt+ Gnr jktvmkde! mjr jk uromk dnbbukjvjet bmz dnkvmjk bnre tua|`ur npjfet!
kjvrnhek npjfet! dmronk bnknpjfe! `zfrndmronkt! npjfmkvt! |mrvjduamvet mkf vnpjd
tuotvmkdet+ V`e dnbojkmvjnk ng |mrvjduamvet mkf.nr hmtet dmk retuav jk tzkerhjtvjd
eggedvt bmcjkh v`e dnbojkmvjnk bnre fevrjbekvma+
Wmrjnut tvufjet `mwe oeek dmrrjef nuv vn feverbjke v`e `emav` rjtct mttndjmvef xjv`
mjr |naauvjnk+ V`e retuavt wmrz ouv tnbe jb|nrvmkv gjkfjkht `mwe oeek dnktjtvef+ Gmjv`
ev ma (=:8?* hmwe gjwe bntv dnbbnk eggedvt ng mjr |naauvjnk mt9
j+ Wjtjojajvz refudvjnk!
jj+ Jrrjvmvjnk ng `ubmk tekte!
jj+ Ednknbjd fmbmhe vn |rn|ervz!
jjj+ Fmbmhe vn emav`! mkf
jw+ Tuotvmkvjwe d`mkhet jk v e ednanhz ng v`e kmvurma ekwjrnkbekv+
Xnraf Fewean|bekv _e|nrv (=::?* jfekvjgjef tut|ekfef |mrvjduamve bmvver mt m bminr
v`remv vn `ubmk `emav + V`e |retekde ng tut|ekfef |mrvjduamvet jk v`e jkfnnr
ekwjrnkbekv! x`jae knv nowjnut! matn mggedvt mjr }umajvz+ Jk v`e fxeaajkht ng v`e |nnr
|n|uamde jk bmkz dnukvrjet! v`e dnbojkef eggedvt ng dnncjkh gjret! futvt! mkf
omdverjm `mwe dnkvjkuef vn v`remvek v`ejr `emav` mkf tndjnednknbjd xeaa oejkh gmr
bnre terjnutaz v`mk xmt |rewjnutaz rednhkjtef+
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Mdjfjd hmtet tud` mt dmronk fjnpjfe! tua|`ur fjnpjfe e+v+d! fjttnawe jk rmjkxmver
frn|aevt vn gnrb mdjf rmjk+ V`e fe|ntjvjnkt ng v`jt mdjfjd tnauvjnk nk wmrjnut
bmverjmat tud` mt jrnk! dnkdreve e+v+d! aemf vn dnrrntjnk! rutv mkf erntjnk+ V`ete
bmverjmat ante v`ejr autvre! tvrekhv` mkf `mwe t`nrver ajge t|mk+ \mrvjduamve tevvae nk
v`e aemwet ng |amkvt! oandcjkh v`ejr tvnbmvm v`ut jkvergere xjv v`e bevmonajd
|rndettet ng v`ete |amkvt+
Nynke! m hmt moukfmkv jk v`e tvrmvnt|`ere `mt tuggeref terjnut fe|aevjnk fue vn
remdvjnk xjv` |naauvmkvt et|edjmaaz d`anrngaunrndmronkt! DGDt+ Jvt fe|aevjnk `mt
dmutef mk jkdremte jk v`e mbnukv ng uavrmwjnaev O rmfjmvjnk grnb v`e Tuk v`mv hev vn
v`e emrv`+ Tvufjet `mwe t`nxk v`mv jkdremtef uavrmwjnaev O rmfjmvjnk vn v`e emrv`
turgmde `mt dmutef mk jkdremte jk wmrjnut tcjk dmkdert+ V`e emrv` veb|ermvure jt
matn nk v`e jkdremte! mk mgverbmv` ng hreek`nute eggedv dmutef oz v`e mddubuamvjnk
ng dmronk fjnpjfe jk v`e mvbnt|`ere+ V`ete mre ewjfekdet v`mv v`e dnkdekvrmvjnk ng
mvbnt|`erjd dmronk fjnpjfe `mt oeek jkdremtjkh tanxaz tjkde v`e oehjkkjkh ng v`e
dekvurz oedmute ng v`e dnboutvjnk ng gnttja gueat (BdHrmx"@jaa Ekdzdan|efjm*+
@nxewer! wjm v`e kexaz fewean|jkh |rndett dmaaef Dmronk Te}uetvrmvjnk (Cmke!
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npzhek (@etcev`! =:8:*+ Jk v`jt tvufz! mjr xnuaf oe dnktjferef mt m buavj"dnb|nkekv
tztveb dnktjtvjkh ng kjvrnhek! npzhek! mrhnk! dmronk fjnpjfe e+v+d+! mkf v`e
|naauvmkvt+
D`erebjtjkngg ev ma (=:0=* tvmvef v`mv v`e bed`mkjtb ng mjr |naauvjnk jkwnawet
|naauvmkvt ebjttjnk grnb wmrjnut tnurdet! vrmkt|nrv mkf fjggutjnk! mkf eggedvt u|nk
rede|vnrt (bmk! |amkvt nr mkjbmat*+ V`e fegjkjvjnk gmjat vn |uv v`e d`ebjdma d`mkhet
jkvn dnktjfermvjnk+ V`e d`ebjdma d`mkhet v`mv v`e |rjbmrz |naauvmkvt ukferhn retuav
jkvn tednkfmrz |naauvmkvt e+h+ |`nvnd`ebjdma npjfmkvt mkf tua|`mvet+ X`ek
|naauvmkvt mre ebjvvef jkvn v`e mvbnt|`ere! v`ez mre jbbefjmveaz fjauvef! vrmkt|nrvef
mkf bjpef xjv` v`e turrnukfjkh mjr+ V`e fjauvjnk retuavt jk m fedremte jk v`e
dnkdekvrmvjnk ng v`e |naauvmkvt+ V`e vrmkt|nrv mkf fjggutjnk fe|ekf nk xjkf t|eef
mkf fjredvjnk+ Xjkf mdvt vn vrmkt|nrv v`e |naauvmkvt mkf |rnbnve mffjvjnkma bjpjkh+ Jv
`mt oeek noterwef v`mv v`e xjkf t|eef feverbjket v`e weandjvz ng v`e mjr |naauvmkvt
mt jv vrmktwertet v`e tcz mkf dnkvrjouvet vn v`e |naauvjnk fjauvjnk rmve+ V`mv jt! v`ehremver v`e xjkf weandjvz! v`e hremver v`e |naauvmkv weandjvz mkf v`e hremver v`e wnaube
ng mjr jkvrnfudef! v`ut! jkdremtjkh v`e fjauvjnk rmve+
Xjkf fjredvjnk jt v`e fjredvjnk grnb x`jd` v`e xjkf nrjhjkmvet+ V`e xjkf fjredvjnk jt
mggedvef oz wmrjnut bevenrnanhjdma dnkfjvjnkt mkf vn|nhrm|`jdma gemvuret tud` mt
`jaat! `jh` tvrudvuret evd+ V`jt jk vurk jkgauekdet v`e bmkker jk x`jd` v`e |naauvmkvt
mre fjt|ertef+ _mu ev ma (=:0
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mvbnt|`erjd jkvermdvjnk (fjt|ertjnk mkf d`ebjdma d`mkhet* v`mv `mt nddurref furjkh
vrmkt|nrv grnb v`e tnurde vn v`e rede|vnr+
Fjauvjnk mkf fjt|ertjnk ng |naauvmkvt oz v`e xjkf bnwebekv nkaz terwe vn vrmkt|nrv
v`eb grnb v`e tnurdet+ Kmvure! `nxewer! `mt jvt daemktjkh |rndettet nv`erxjte v`e
|naauvmkvt xjaa rebmjk |erbmkekvaz jk v`e mvbnt|`ere+ V`e tewerma xmzt |naauvmkvt
mre rebnwef grnb v`e mvbnt|`ere jkdaufe (BdHrmx@jaa Ekdzdan|efjm*9
Xmt`nuv " jk v jt |rndett! v`e dnkvmbjkmkvt mre xmt`ef nuv ng v`e
mvbnt|`ere oz rmjkfrn|t mt v`ez gmaa v`rnuh` v`e dnkvmbjkmkvt+ Jk rmjknuv! v`e
dnkvmbjkmkvt ukjve xjv` danuf frn|aevt v`mv bmz amver hrnx jkvn |redj|jvmvjnk+
Hrmwjvmvjnkma tevvajkh " amrhe |mrvjdaet! v`nte `mwjkh m fjmbever hremver v`mk ?