Recovery of Galilean Invariance in Thermal Lattice Boltzmann Models
46 - Thermal Recovery
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Transcript of 46 - Thermal Recovery
7/22/2019 46 - Thermal Recovery
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Nflptdr 81
Xfdrkle _dnivdryNf`df Nfu, Gdtty I`e Ni.*
@btrihunt`ib
Xfdrkle rdnivdry gdbdrleey rdadrs ti prindssds air rdniv-
dr`bg i`e arik ubhdrgriubh airklt`ibs oy usd ia fdlt.
Xfd fdlt kly od suppe`dh dxtdrbleey oy `bmdnt`bg l fit
aeu`h sunf ls stdlk ir fit wltdr `bti tfd airklt`ibs, ir
`t kly od gdbdrltdh `btdrbleey oy nikoust`ib. @b nik-
oust`ib, tfd aude `s suppe`dh oy tfd i`e `b pelnd lbh tfd
ix`hlbt `s `bmdntdh `bti tfd airklt`ibs `b tfd airk ia l`r
ir itfdr ixygdb-nibtl`b`bg aeu`hs. Xfd kist nikkibey
usdh tfdrkle rdnivdry prindssd s lrd stdlk `bmdnt`ib prin-dssds lbh `b-s`tu nikoust`ib.
Xwi Airks ia ^tdlk @bmdnt`ib Zrindssds
@b pr`bn`ped, lby fit aeu`h nlb od `bmdntdh `bti tfd airkl-
t`ibs ti suppey tfd fdlt. Xfd aeu`hs usdh kist dxtdbs`vdey
lrd stdlk ir fit wltdr odnlusd ia tfd gdbdrle lvl`elo e`ty
lbh loubhlbnd ia wltdr. Fit wltdr `bmdnt ib fls oddb
aiubh ti od edss daa`n`dbt tflb stdlk `bmdnt ib lbh w`ee bit
od h`snussdh fdrd. L snfdklt`n v`dw ia tfd stdlk `bmdn-
t`ib prindss `s sfiwb `b A`g. 81.<, tigdtfdr w`tf lb lp-
prix`k ltd tdkpdr lturd h`str`out`ib `bs`hd tfd airklt`ib. ‐
Xfdrd lrd twi vlr`lt ibs ia stdlk `bmdnt`ib prindssds-
stdlk st`kuelt ib lbh stdlk h`spelndkdbt.
^tdlk ^t`kuelt`ib
Xf`s kdtfih fls oddb cbiwb ls tfd fuaa ‖b‐ puaa kdtfih,
s`bnd stdlk `s `bmdntdh `btdrk`ttdbtey lbh tfd rdsdrvi`r `s
leeiwdh ti prihund latdr dlnf `bmdnt`ib. @b tf`s prindss
tfd kl`b hr`v`bg airnd air i`e h`spelndkdbt `s priv`hdh
oy rdsdrvi`r prdssurd, grlv`tlt`ible airnd, rinc lbh aeu`h
dxplbs`ib, lbh, piss`oey, airk lt`ib nikplnt`ib. @b tfd
stdlk st`kuelt`ib prindss ibey tfd plrt ia tfd rdsdrvi`r
lhmlndbt ti tfd wdeeoird `s laadntdh. Latdr l bukodr ia
nyneds ia `bmdnt ib lbh prihunt`ib, tfd bdlr-wdeeoird
rdg`ib `b rdsdrvi`rs flv`bg e`tted ir bi h`p odnik ds si
hdpedtdh ia i e tflt aurtfdr `bmdnt ib ia stdlk `s aut`ed. @b
tf`s nlsd, w dees kust od hr`eedh lt vdry neisd spln`bg ti
iotl`b l f`gf i`e rdnivdry.
‖BiwWe`f dxlnibn
^tdlk H`spelndkdbt
Xf`s prindss, usuleey rdad rrdh ti ls stdlkaeiih ir stdlk-
hr`vd, fls l kunf f`gfdr i`e rdnivdry tflb stdlk st`ku-
elt`ib leibd. Wfd rdls stdlk st`kuelt`ib `s l ibd-wdee
ipdrlt`ib, stdlkaeiih rdqu`rds lt edlst twi wdees, ibd
sdrv`bg ls tfd `bmdntir lbh tfd itfdr sdrv`bg ls tfd
prihundr . Xfd klmir`ty ia stdlkaeiih primdnts usd plt-
tdrb aeiihs. @b klby nlsds, stdlk st`kuelt`ib `s rdqu`rdh
lt tfd prihundrs wfdb tfd i`e `s tii v`snius ti aeiw od-aird tfd fdlt arik tfd `bmdntir lrr`vds. Odnlusd ia tfd f`gf
i`e rdnivdry lnf`dvloed tfriug f stdlkaeiih`bg, klby
rdsdrvi`rs tflt wdrd prihundh oy stdlk st`kuelt`ib prdv`-
iusey biw lrd od`bg stdlk aeiihdh.
Xfrdd Airks ia @b-^ tu Nikoust`ib
@b-s tu nikou st`ib usuleey `s rdadrrdh ti ls a`rdaeiih.
Xfdrd lrd tfrdd airks ia `b-s tu nik oust`ib prindssds-
hry airwl rh nikoust`ib, rdvdrsd nikoust`ib, lbh wdt
nikoust`ib.
Hry Airwlrh Nikoust`ib
@b tfd dlre`dr hlys, tf`s wls tfd kist nikkibey usdh airk
ia tfd nikoust`ib prindssds. @t `s hry odnlusd bi wltdr
`s `bmdntdh leibg w`tf l`r. @t `s airwl rh odnlusd nikous-
t`ib stlrts lt tfd `bmdntir lbh tfd nikoust`ib aribt ki vds
`b tfd h`rdnt`ib ia tfd l r aeiw.
A`g. 81.? g`vds l snfdklt`n v`dw ia tfd hry airwlrh
nikoust`ib prindss. ‐ Xfd uppdr plrt ia tfd a`gurd sfiws
l typ`nle tdkpdrlturd h`str`out ib leibg l nriss sdnt`ib
edlh`bg arik tfd `bmdntir lt tfd edat ti tfd prihundr lt tfd
r`gft. X wi tf`bgs bddh ti od pi`btdh iut. A`rst, tfd rdg`ib
bdlr tfd prihun dr `s nieh, lt tfd ir`g`ble tdkpdrlturd ia
tfd rdsdrvi`r. @a tfd ubfdltdh i`e `s f`gfey v`snius, `t nlb-
bit od pusfdh airwlrh oy tfd fdltdh i`e lt `ts olnc tflt
fls oddb klh d kio`ed oy tfd f`gf tdkpdrlturd ia tfd nik-
oust`ib zibd. Xf`s pfdbikdbib `s nleedh ―e`qu`h oeinc-
`bg.‛ ^dnibh, tfd tdkpdrltu rd ia tfd rdg`ib `b tfd olnc
ia tfd nikoust`ib zibd `s f`gf, `bh`nlt bg l grdlt lkiubt
ia fdlt od`bg stirdh `b tfd rdg`ib, bit usdh daa`n`dbtey.
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81-?
@ P
A`g. 81.<-^tdlk `bmdnt`ib prindssds.
N_I^^-^DNX@IB IA AI_KLX@IB
A`g. 81.?-Hry airwlrh nikoust`ib
niuwse@iB ]IBD ebLQleBl
eFe^ H@_DNX@IB
A`g. 81.>-_dvdrsd nikoust`ib.
ZDX_IEDTK DBG@BDD_@BG FLBHOIIC
Xfd eiwdr plrt ia A`g. 81.? sfiws tfd aeu`h slturlt`ib
h`str`out`ibs `bs`hd tfd airklt`ib ubhdr tfd nikoust`ib
prindss. Ibd sfiueh bitd tfd nedlb slbh `b tfd ourbdh-
iut rdg`ib. Od`bg loed ti ourb tfd ubhds`rloed arlnt`ib
ia tfd i`e (tfd fdlv`dr pirt`ib) `s ibd lhvlbtlgd ia tfd
airwlrh nikoust`ib prindss ivdr tfd rdvdrsd nikoust`ib
prindss.
_dvdrsd Nikoust`ib
^tr`ntey spdlc `bg, `t sfiueh od nleedh hry rdvdrsd ni kous-
t`ib, odnlusd birkleey ibey l`r `s `bmdntdh, bi wltdr. L
s`kped dxlkped w`ee fdep ti dxpel`b fiw rdvdrsd nikous-
t`ib wirc s. @b irh`blry n`glrdttd skic`bg, ibd `gb`tds tfd
t`p ia tfd n`glrdttd lbh `bfleds. Xfd ourb`bg aribt w`ee
trlvde arik tfd t`p ia tfd n`glrdttd tiwlrh ibd‐s kiutf,
leibg w`tf tfd l`r. Xf`s `s airwlrh nikoust`ib. Xfd
n`glrdttd lesi nlb od ourbdh `a ibd dxfleds. Xf`s wly , tfd
ourb`bg aribt st`ee kivds arik tfd t`p ia tfd n`glrdttd
tiwlrh ibd‐s k iutf, out tfd l`r aeiw `s `b tfd ippis`td
h`rdnt`ib. Xf`s `s, tfdb, rdvdrsd nik oust`ib.
A`g. 81.> sfiws tfd vlr`ius zibds `bs`hd tfd airklt`ib,w`tf tfd nieh zibd bdlr tfd `bmdntir lt tfd edat lbh tfd fit
zibd bdlr tfd prihun dr.> ^`bnd tfd rdg`ib lriubh tfd
prihu ndr `s fit, tfd prioedk ia e`qu`h oeinc`bg kdbt`ibdh
dlre`dr `b nibbdnt`ib w`tf tfd hry airwlrh pri ndss f ls
oddb de`k`bltdh.
@b pr`bn`ped, tfdrd `s bi uppdr e`k`t air i`e v`snis`ty air
tfd lppe`nlt`ib ia tfd rdvdrsd nik oust`ib prindss. Fiw-
dvdr, tf`s prindss `s bit ls daa`n`dbt ls tfd hry airwlrh
nikoust`ib odnlusd l hds`rloed arlnt`ib ia tfd i`e (tfd
e`gftdr pirt`ib) `s ourbdh lbh lb ubhds`rloed arlnt`ib ia
tfd i`e (tfd fdlv`dr pirt`ib) rdkl`bs `b tfd rdg`ib odf`bh
tfd nikoust`ib aribt. Ods`hds, spibtlbdius `gb`t`ib niueh
innur lt tfd `bmdntir.8 @a tf`s flppdb s, tfd ixygdb w`ee
od usdh up bdlr tfd `bmdntir lbh w`ee bit suppirt nik -
oust`ib bdlr tfd prihu ndr. Xfd prindss tfdb rdvdrts ti air-
wlrh nikoust`ib.
Bi rdvdrsd nikoust`ib primdnt fls dvdr rdlnfdh nik-
kdrn`le stltus. Bdvdrtfdedss, tf`s prindss sfi ueh bit od
wr`ttdb i aa odnlusd, `b sp`td ia tfd h`aa`nuet`ds aln`bg tf`s
prindss, `t niueh iaadr sikd fipd ia rdnivdr`bg dxtrdkdey
v`snius i`e ir tlr.
Wdt Nikoust`ib
Xfd tdrk ―wdt nik oust`ib‛ lntuleey rdadrs ti wdt air-
wlrh nikoust`ib. Xf`s prindss wls hdvdeipdh ti usd tfd
fdlt nibtl`bdh odf`bh tfd nikoust`ib zibd. @b tf`s prin-
dss, wltdr `s `bmdntdh d`tfdr letdrbltdey ir s`kuetlbdiuseyw`tf l`r. Odnlusd ia `ts f`gf fdl t nlpln`ty lbh eltdbt fdlt
ia vlpir`zlt`ib, wltdr `s nlploed ia kiv`bg tfd fdlt od-
f`bh tfd nikoust`ib aribt airwlrh, lbh fdep`bg ti h`s-
pelnd tfd i`e `b aribt ia tfd nikoust`ib zibd.
A`g. 81.8 sfiws tfd tdkpdrltu rd h`str`out`ibs ia tfd wdt
nikoust`ib prinds s ls tfd wltdr/l`r rlt`i (WL_) `b-
nrdlsds.4 Xfd nurvd air WL_;: rdadrs ti hry nikous-
t`ib. W`tf lb `bnrdlsd `b WL _, tf d f`gf-tdkp drlturd zibd
odf`bh tfd nikoust`ib zibd sfirtdbs (WL_; kihdrltd).
W`tf l aurtfdr `bnrdlsd `b WL_ , tfd nikoust`ib w`ee od
plrt`leey qudbnfdh ls sfiwb oy tfd nurvd air
WL_;elrgd.
Xfd wdt nikoust`ib prindss lesi `s cbiwb ls tfd
NIANLW prindss, wf`nf `s lb lnribyk air ―niko`bl-t`ib ia airwlrh nikou st`ib lbh wltdraeiih .‛ Xf`s prin-
dss lesi nlb od nibstrudh ls stdlkaeii h w`tf `b-s tu stdlk
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XFD_KLE _DNIQD_P 81->
gdbdrlt`ib. @t sfiueh od bitdh tflt tf`s kdtfi h nlbbit prd-
vdbt e`qu`h oeinc`bg lbh `ts lppe`nlt`ib `s e`k`tdh oy i`e
v`snis`ty, ls `s tfd hry airw lrh nikoust`ib. WL_ ; EL_GD
F`stir`nle Hdvdeipkdbt
Xfd aieeiw`bg e`sts nfribieig`nleey sikd ia tfd klmir
dvdbts tflt innurrdh `b tfd hdvdeipk dbt ia tfd tfdrkle
rdnivdry kdtfihs.
<0><
<080
<04?
<044
<046
<01:
<01?
L stdlkaeiih w ls nibhuntdh `b Wiihsib, XV.1
L hry airwlrh nikoust`ib pri‐d nt wls stlrtdh `b
Hdelwlrd-Nf`ehdrs a`deh, IC. M
L hry airwlrh nikoust`ib primdnt wls nibhuntdh
`b siutfdrb Icelfikl. 6
L rdvdrsd nik oust`ib primdnt w ls `b`t`ltdh `b Ode-
elky, K:.0
Xfd stdlk st`kuelt`ib prind ss wls lnn`hdbtleey
h`snivdrdh `b Kdbd Grlbhd Xlr ^lbhs,
Qdbdzudel. ‖I
^tdlk st`kuelt`ib wls stlrtdh `b Piro l E`bhl,
NL. ‛
Wdt nikoust`ib pflsd ia l a`rdaeiih primdnt wls
stlrtdh b ^nfiibdoddc, Xfd Bdtfdrelbhs. @?
Nurrdbt ^tltus
T.^. I`e Zrihunt`ib oy Dbflbndh _dnivdry Kdtfihs
Xfd s`gb`a`nlbnd ia tfd tfdrkle rdnivdry prind ssds nlb
od sddb arik tfd Lpr`e <06? survdy ia tfd I`e lbh Gls
M. @> Ls sfiwb `b Xloed 81.<, ia tfd hl ey T .^. i`e pri-
hunt`ib w`tf DI_ prindssds, 71.0% nikds arik stdlk
`bmdnt ib lbh ?.7% nik ds arik `b-s tu nikoust`ib, title-
e`bg 70.1% iotl`bdh oy tfdrkle rdnivdry prindssds. Xfd
nikoust`ib prindss, letfiugf hwlradh oy tfd stdlk `b-
mdnt`ib pr indssds, lnniubts ai r kird tflb hiuoed tfd pri-hunt`ib i a lee tfd nfdk`nle aeiihs niko`bdh, wf`nf
lkiubts ti <.? % .
Gdigrlpf`nle H`str`out`ib ia Xfdrkle
_dnivdry Zrimdnts Zitdbt`le air @bnrdkdbtle _dnivdry
Xloed 81.?, olsdh elrgdey ib tfd <06? survdy, @> sfiws
tfd gdigrlp f`nle h`str`out`ib ia tfd stdlk `bmdnt`ib prim-Lnnirh`bg ti Mifbsib dt le., e4 vlst dbdrgy rdsiurnd s dx-
`st `b tfd tlr slbhs `b Qdbdzudel lbh Nieiko`l (<,:: : tidnts `b tfd wireh. Ia tfd hl`ey i`e prihunt`ib arik stdl k
`bmdnt`ib prindssds, 7<.7% nikds arik tfd T.^., <4.8%<,6:: o`ee`ib ooe), Nlblhl (0:: o`ee`ib ooe) , lbh tfd T. ^ .
(>: o`ee ib ooe). Xfdsd tlr slbhs sfiueh od l klmir tlr gdt
XLOED 81.<-T.^. DI_ Z_IHT NX@IB (<06?)
^tdlk
Nikoust`ib
Xitle tfdrkle
K`ndeelrepieykdr
Zieykdr
Nlust`n
Itfdr nfdk`nles
Xitle nfdk`nles
NI, k`sn`oed
Itfdr glsds
Xitle
Grlbh Xitle
O@H %
?66,>01 71.0
<:,??6 ?.7- ~
?06,1?8 70.1
0:? :.?
?,467 :.7
46: :.?
>8: :.<
8,8:0 <.?
?<,04> 4.0
80,01? <>.>
7<,0<4 <0.?
>78,086 <::.:
H@^XLBND ---)
A`g. 81.8-Wdt nikoust`ib.
arik @bhibds`l, 7.:% arik Qdbdzudel, lbh >.:% arik
Nlblh l. @b tfd T.^., Nle`airb`l lnniubts air bdlrey lee
tfd prihunt`ib, w`tf sklee pdrndbtlgds nik`bg arik Eiu`-
s`lbl, Lrclbsls, Xdxls, Icelfikl, lbh Wyik`bg.
Xfd hl`ey i`e prihunt`ib oy `b-s`tu nik oust`ib `s sfiwb`b Xloed 81.>. Fdrd, tfd T.^. lnniubts air 8:.:% ia tfd
title prihunt`ib, aieeiwdh oy _iklb`l (?1.:% ), Nlblhl
(??.<%), lbh Qdbdzudel (<:.6%). Ia tfd T.^. prihun-
t`ib, bdlrey ibd-flea nikds arik Nle`airb`l, ibd-tf`rh
arik Eiu`s`lbl, w`tf tfd rdst arik K`ss`ss`pp`, Xdxls,
lbh @ee`bi`s.
Kl mir Xfdrkle _ dnivdry Zrimdnts
Xfd klmir tfdrkle rdnivdry primdnts, lgl`b olsdh elrgdey
ib tfd <06? survdy, t> lrd e`stdh `b Xloed 81.8.
_dsdrvi`rs Lkdbloed ti Xfdrkle _dnivdry
Xloed 81.4 sfiws tfd rlbgds ia rdsdrvi`r pripdrt`ds `b
wf`nf tfd tdnfb`nle adls`o`e ty ia stdlkaei ih lbh t`rdaeiih
fls oddb privdb. @8
XLOED 81.?-:<<. Z_IHTN X@IB OP ^XDLK @BMDNX@IBZ_IND^^D^ (<06?)
T.^.
Lrclbsls
Nle`airb`l
Eiu`s`lbl
Icelfikl
Xdxls
Wyik`bg
Nlblhl (Leodrtl)
Orlz`e
Xr`b`hlh
Qdbdzudel
Nibgi
Arlbnd
Gdrklby
@bhibds`l
Xitle
O/H
?66,>01 7<.7
?68,:0>
<,1::
1<7
7<<
474
<?,<6:
<,0?:
>,84:
?6,:>:
?,4::
>1:
>,?18
1?<:::
8:?,<::
>.:
:.4
:.0
7.:
:.1
:.<
:.6
<4.8
<::.:
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81-8 ZDX_IEDTK DBG@BDD_@BG FLBHOIIC
XLOED 81.>-Z_IHTNX@IB OP @B-^@XT NIKO T^X@IB (<01?) air hdvdeipkdbt ia tfdrkle rdnivdry kdtfihs, s`bnd tfd
rdsuets w`ee od kist rdwlrh`bg `a l pdrndbtlgd ia tfdsd
rdsiurnds nlb od tlppd h dnibik`nleey.T.^.
Nle`airb`l
@ee`bi`s
Clbsls
Eiu`s`lbl
K`ss`ss`pp`
Xdxls
Nlblhl
Leodrtl
^lscltnfdwlb
Orlz`e
Qdbdzudel
_iklb`l
Xitle
O@H- -
<:,??6 8:.:
8,67>
<70
?
?,08:
<,>::
0>8
4,10: ??.<
<4:
4,48:
?68 <.<
?,700 <:.6
1,100 ?1.:- ~?4,71: <::.:
XLOED 81.8-KLMI_ XFD_KLE _DNIQD_P Z_IMDNX^
^tdlkaeiih
^tdlk st`kuelt`ib
A`rdaeiih
Xfdrkle
A`deh, Einlt`ib (Ipdrltir)
Cdrb _`vdr, NL (Gdtty)
Hur`, @bhibds`l (Nletdx)
Kiubt Zisi. NL (^fdee)
^lb Lrhi. NL (Xdxlni)
X`l Mulbl Dstd,
Qdbdzudel (Klrlvdb)
Elgub`eels, Qdbdzudel
(Klrlvdb)
Hur`, @bhibds`l (Nletdx)
Nieh Elcd, Leodrtl (Dssi)
^upelnu hd Olrnlu,
_iklb`l (@AZ@@ZNNG)
Olttruk Bi. <,
^lscltnfdwlb (Kio`e)
Odeedvud, EL (Gdtty)
Mioi. Qdbdzudel
(Elgivdb)
Dbflbndh I`eZrihunt`ib
QW
6>,:::
8:,:::
??,6::
??,4::
<4,:::
8:,64:
??,:::
<:,:::
1.44?
?,0::
?,7?>
<>,:::
XLOED 81.4-_D^D_QI@_^ LKDBLOED XI ^XDLKAEIIH
LBH A@_DAEIIH
Hdptf, at
^tdlkaeiih A`rdaeiih
<1: ti 4,::: <6: ti <<,4::
Bd` ply, at <:ti<,:4: 8 ti <4:
H`p, hdgrdds : ti 7: : ti 84
Ziris`tv. % <?ti>0 <1ti>0
Zdrkdlo`e`ty, kh 7: ti <:,::: 8: ti <:,:::
:<< irlv`tv, ILZ@ -?<:88 0.4 ti 8:
:<< ``snis`ty lt `b`t`le
tdkpdrlturd, np
I`e slturlt`ib lt stlrt, %
II@Z lt stlrt, ooe/ln rd-at
8 ti <:1 :.6 ti ei1
<4ti64 >: ti 08
>7: ti ?,?>: 8>: ti ?,44:
Olsdh ib lb lssukdh i`e pr`nd ia $??.I`Qooe, Edw`b
lbh Lssins. @bn. @1 dst`kltdh tflt tfd uet`kltd rdnivdry
`b tfd T.^. oy tfdrkle rdnivdry kdtfi hs w`ee lkiubt ti
4.1 ti 7.0 o`ee`ib ooe. Xf`s `bneuhds 8.: ti 1.: o`ee`ib ooeoy stdlkaeii hs lbh <.1 ti <.0 o`ee ib ooe oy a`rdaeiihs.
Zrihunt`ib Kdnflb`sks
Xfd prihunt`ib kdnflb`sks `b stdlk `b‐dnt`ib prindssds
flvd oddb `hdbt`a`dh oy W`eeklb dt le. <8 ls (<) fit wltdr-
aeiih, `bneuh`bg v`snis`ty rdhunt`ib lbh swdee`bg, (?) gls
hr`vd, (>) stdlk h`st eelt`ib, lbh (8) sievdbt dxtrlnt`ib da-
adnt. Xfd rdelt`vd `kpirtlbnd ia tfdsd kdnflb`sks ib e`gft
lbh fdlvy i`e, rdprdsdbtdh oy >7.: lbh <?.? ―LZ@, rdspdn-
t`vdey, `s g`vdb `b Xloed 81.1.
@b &aeiih s, tfd loivd kdnflb`sks lrd lesi `kpirtlbt.
@b lhh`t`ib, tfd ordlc`bg up ia fdlvy i`e arlnt`ibs `bti
e`gft i`e arlnt`ibs tfriugf nrlnc`bg sfiueh flv d lt edlsttwi daadnts= `bnrdlsd `b vieukd lbh kird hrlst`n rdhu n-
t`ib `b v`snis`ty. Xfd gls hr`vd daadnt lesi sfiueh od `b-
nrdlsdh odnlusd ia tfd elrgd lkiubt ia l`r `bmdntdh lbh
nikoust`ib gls prihundh.
Xfdirdt`nle Nibs`hdrlt`ibs
^uralnd E`bd lbh Wdeeoird Fdlt Eissds
@b nurrdbt a`deh prlnt`nd, hiwboi ed stdlk gdbdrltirs lrd
st`ee `b tfd hdvdeipkdb tle stlgd. ^uralnd stdlk gdbdrl-
tirs lrd od`bg usdh `b lekist lee ia tfd stdlk `bmdnt`ib
primdnts. ^tdlk arik l gdbdrltir birkleey `s sdbt ti tfd
`bmdntir wdeefd lh tfriugf l suralnd e`bd. ^ikd fdlt w`ee
od eist ti tfd surriubh`bg ltki spfdrd oy nibvdnt`ib lbh
rlh`lt`ib. Ls stdlk trlvdes arik tfd wdeefdlh tfriugf tf dwdeeoird ti tfd slbhalnd lt tfd ply zibd, fdlt w`ee od eist
ti tfd ivdrourhdb, kl`bey oy nibhunt`ib. Xfd kdtfi h ia
nlenuelt`bg suralnd e`bd lbh wdeeoird fdlt eissds `s h`s-
nussdh odeiw.
^uralnd E`bd Fdlt Eissds
Xfd stdlk e`bds `b kist ia tfd stdlk `bmdnt`ib primdnts
lrd `bsueltdh. Xfd fdlt eiss arik sunf l e`bd, Otu`fr, `s=
\r,;?lr`,T,3(X, -X,,)LE, (<)
wfdrd
‖`b ; iuts`hd rlh`us ia tfd `bsuelt`ib suralnd, at,r, ; stdlk tdkpdrltu rd, ―A,
7‐,, ; ltkisp fdr`n tdkpdrltu rd, ―A, lbh
t` ; p`pd edbgtf, at.
@b tfd loivd, NX,. s tfd ivdrlee fdlt trlbsadr nidaa`n`dbt
(olsdh ib `bs`hd rlh `us i a tfd p`pd ir tuo`bg), Otu/fr-at-
―A, lbh nlb od nlenueltdh ls aieeiws.
@
-<
Tt` ;<
+- f+e ) . . . . . . . . . . .
wfdrd rri `s tfd iuts`hd rlh`us ia p`pd, at, lbh cf`b `s tfd
tfdrkle nibhunt`v`ty ia `bsuelt ib kltdr`le, Ok/fr-sq
_-IA.
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XFD_KLE _DNIQD_P
Xfd nibvdnt`ib fdlt trlbsadr nidaa`n`dbt, f, Otu`fr-sq
at-―A, nlb od nlenueltdh tfus ‖* =
f;:.74v,i~1/r`e<:~8, . . . . . , . . . . . . . (>)
wfdrd v,+ `s tfd w`bh vdein`ty, k``fr. Xfd rlh`lt`ib fdlt
trlbsadr ni daa`n`dbt, @, birkleey nlb od bdgedntdh.@a tfd p`pd `s olrd, tflt `s, ub`bsueltdh, tfdb M-,~;r`b
lbh
T,`;f. . . . . . . . . . . . . . . . . . (8)
@a tfd stdlk `s supdrfd ltdh, X, w`ee vlry leibg tfd e`bd
ls fdlt `s od`bg eist ti tfd ltkispfdrd. Wfdb tfd p`pd
`s eibg, `t bddhs ti od oricdb up `bti sdgk dbts lbh tfd
fdlt eiss nlenueltdh sdgkdbt oy sdgkdbt. @b dlnf sdgkdbt,
Xs* ;X,$, -\r,ewsn,s, . . . . . . . . . . (4)
wfdrd
X.ve ,Xs? ; stdlk tdkpdrl turds lt tfd odg`bb`bg lbh
tfd dbh ia tfd sdgkdbt, ―A,
\r@ ; fdlt eiss leibg tfd sdgkdbt, Otuefr,
w,~ ; k lss rltd ia stdlk, eok/fr, lbh
N,, ; fdlt nlpln`ty ia stdlk, Otu/eok-―A.
@a tfd stdlk `s slturltdh, tfd fdlt eiss w`ee nlusd rdhun-
t`ib `b stdlk qule`ty.
@,? ;a3, -\r,ewsEs, . . . . . . . . . . . . .(1)
wfdrd a,` lbh as? dqule tfd stdlk qu le`ty lt tfd odg`b-
b`bg lbh tfd dbh ia tfd p`pd sdgkdbt, arlnt`ib, lbh E,
`s tfd eltdbt fdl t ia stdlk, Otu/eok.
Wdeeoird Fdlt Eissds
@b kist ia tfd stdlk `bmdnt`ib primdnts, slturltdh stdlk
lt l ndrtl`b qule`ty `s `bmdntdh `bti tfd airklt`ib. Fdrd,
wd lssukd l kird gdbdrle nlsd `b wf`nf tf d stdlk a`rst
dbtdrs tfd wdeeoird ls supdrfd ltdh stdlk, odn ikds sltu-
rltdh w`tf l grlhuleey h`k`b`sf`bg qule`ty, lbh `s aurtfdr
niiedh latdr `ts nikpedtd nibhdbslt`ib `bti fit wltdr.
^updrfdltdh ^tdlk. Lssukd tflt wfdb tfd hdptf H `s
:, tfd tdkpdrltu rd ia tfd stdlk `s X, lbh vlr`ds w`tf
t`kd. Lesi lssukd tflt l e`bdlr gditfdrkl e grlh`dbt dx -
`sts si tflt
Xa;gGH+ X,,,,, . . . . . . (7)
81-4
wfdrd 7‛ `s tfd tdkpdrlturd ia tfd airklt`ib. ^uppisd
ibd stlrts w`tf tfd tdkpdrlturd ia tfd stdlk lt l hdptf
H r , lbh hds`rds ti nlenueltd tfd tdkpdrlturd lt hdptf He
w`tf tfd edbgtf ia tfd hdptf `btdrvle LH; :? -H < ^`bnd
tfd airklt`ib tdkpdrltu rd lt H `s g GH , + X,P,, _lkdy ‖s
dqult`ib air tfd gls nlsd @0 odnikds
X(H?,r);gnHz+X,,-gnL-LO
+SX(H,,t)-gnH, -X,,+gGL+LO[d-fHML.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (6)
L `s hda`bdh ls
L; w~N~Scfa+rt`Th`t)e. . . . . . . . . . . . (0)sr,` Tr`cfa
lbh
<O;- 776 n,, . . . . . . . . . . . . . . . . . . . . . . . . . . . .(eI)
wfdrd
cfa ;
rtr ;
ur, ;
tfdrkle nibhunt`v`ty ia tfd airklt`ib,
Otu/H-at-―A,
a(r) ;
`bs`hd rlh`u s ia tfd tuo`bg, at,
ivdrlee f dlt trlbsadr nidaa`n`dbt air tfd
lbbuelr splnd odtwddb `bs`hd ia tfd
tuo`bg lbh iu ts`hd ia tfd nls`bg o lsdh
ib rt`, Otu/H-at-―A,
trlbs`dbt f dlt nibhunt`ib t`kd aubnt`ib air
dlrtf, h`kdbs`ibedss, sfiwb `b A`g.
81.4,n, ; fdlt nlpln`ty ia stdlk, Otu/eok-―A,
gn ; gditfdrkle grlh`dbt, ―A/at, lbh
X.k ; suralnd tdkpdrlturd, IA.
Air t27 hlys,
?Mlta(t);ebp -:.?0 , . . . . . . . . . . .
r ni
wfdrd <y s tfd tfdrkle h`aaus`v`ty, sq at/H, lbh rnI `s tfd
iuts`hd rlh`us i a nls`bg, at.
^lturltdh ^tdlk. Wfdb tfd stdlk `s slturltdh, tfd wdee-
oird fdlt eiss w`ee nlusd nflbgds `b tfd stdlk qule`ty
wfdrdls tfd stdlk tdkpdrlturd, X, , `s cdpt nibstlbt. @a
XLOED 81.1--KDNFLB@ K^ NIBX_@OTX@BG XI ^XDLK _DNIQD_P
^tdlk `bmdntrib prdssurd, ps`g
Fit wltdraeiih rdnivdry (@bneuhds v`snis`ty rdhunt`ib lbh swdee`bg)
_dnivdry arik gls hr`vdDxtrl rdnivdry arik stdlk h`st`eelt`ib
_dnivdry `kprivdkdbts arik sievdbtedxtrlnttib daadnts
Xitle rdnivdry oy stdlk
_dnivdry
(% @b`t`le :<< @b Zelnd)
Xirpdhi ^lbhstibd Xirpdhi ^lbhstibd
Nird Nird
>7ILZ@ Nruhd <? ?ILZ@ Nruhd
6:: (4?IIA) 68 (>?7IA) 6:: (4?IIA) 68 (>?7ºA)
7<.: 16.7 16.7 11.:
>.: >.: >.:>.:<6.0 <4.1 0.> 8.0
8.7 8.1 >.: >.7
07.1 0< .0 68.: 77.1
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81-1 ZDX_IEDTK DBG@BDD_@BG FLBHOIIC
XTO@BG NL^@BG
X,,
XNn Q` ‖ti
A`g. 81.4-Xrlbs`dbt fdlt nibhunt`ib `b lb `ba`b`td rlh`le systdk .
tfd stdlk qule`ty lt H `sa, ;a,(H t M), tfd stdlk qule`ty
lt :? nlb od nlenueltdh oy ^lttdr‐s dqul t`ib*I=
asZ?M);as(H< L+
L‐O‐+lH, +o-X,LH
L‐
lJJ+- . . . . . . . . . . . . . . . . . . . . . . . . (<?)L‐
@b Dq. <?,
L‐;wMsScfa+‖r`Tfa@a)e
. . . . . . . . . . . . . .(<>);re` Ttrcfa
lbh
<O‐;-. . . . . . . . . . . . . . . . . . . . . . . . . . .
776E,
Fit Wltdr. Air niie`bg ia tf d fit wltdr, _lkdy‐s dqul-
t`ib air tfd e`qu`h p flsd @0 lppe`ds. Xi lhvlbnd arik
hdptf H, ti H?,
Wz,t);g +X.,,gnL+SW,,t)-gnH,
+X,y,+g~L [d-l‐L. . . . . . (<4)
Ivdrlee Fdlt Xrlbsadr Nidaac`dbt. Xfd tdkpd rlturd h`s-
tr`out`ib `b lb lbbuelr nikpedt`ib `s sfiwb `b A`g.
81.1. ?‐ Xi dvleultd tfd ivdrlee fdlt trlbsadr nidaa`n`dbt,
T,,, olsdh ib tfd iuts`hd tuo`bg suralnd, tfd aieeiw`bg
prindh urd h dvdeipd h oy W`eef`td*‐ nlb od usdh.
@. ^dednt T,, olsdh ib iuts`hd tuo`bg suralnd.
?. Nlenueltd L @), ls hda`bdh prdv`iusey.
>. Nlenueltd Xn. lt ndkdbt/airklt`ib `btdralnd.
Xa`‐) +cfa
-Xa
Xna; rei uei . . . . . . . . . . . . . . . . . (<1)
cfaLt)+-
raI @ti
@ @IB^XLBX XEPN?_LeT@@E LX
r.r,, NPE@Bib@NLE ^IT_ND
OITBIL_P NIBIeXeIB
@ @ @
A`g. 81.1-Xdkpdrlturd h`str`out`ib `b lb lbbuelr nikpedt`ib.
wfdrd Xa` ;tdkp drlturd ia aeu`h, IA.
8. Nlenueltd Xn` lt nls`bg `bs`hd su ralnd.
wfdrd
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . (<7)
r-h ; rlh`us ti ndkdbt/airklt`ib `btdralnd, at,
rn( ; `bs`hd rlh`u s ia nls`bg, at,
f-d ; tfdrkle ni bhunt`v`ty ia tfd ndkdbt, Otu/fr-
at-―A, lbh
cfnl ; tfdrkle nibhunt`v`ty ia tfd nls`bg kltdr`le,
Otu/fr-at-―A.
4. Dst`kltd @ air rlh`lt`ib lbh f air blturle nibvdnt`ib.
1. Nlenueltd T,,.
.,-( + rr33dz)-e. . . . (<6)
W`tf nikkd rn`le `bsuelt ib ia tf`ncbdss Lr,
rei @b9 rei eb‐na -‐
uk ;rti + rti
+ rni
@
7
cf`b r, f‐+e‐) cfnd
. . . . . ..<..................... (<0)
wfdrd f‐ lbh @‐ lrd olsdh ib `bsuelt ib iuts`hd suralnd.
Nlenuelt`ibs @bneuh`bg Zrdss urd Nflb gds. L kird
sipf`st`nltd h nlenuelt`ib prindhurd pripisdh oy
Dlreiug fdr** `bneuhds tf d daadnt ia prdssurd nflbgd s `b-
s`hd tfd wdeeoird. Xfd wdeeoird `s h`v`hdh `bti l sdqudbnd
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XFD_KLE _DNIQD_P 81-7
ia hdptf `btdrvles. Xfd nibh`t`ibs lt tfd oittik ia dlnf
`btdrvle lrd nlenueltdh, ib tfd ols`s ia tfd nibh`t`ibs lt
tfd tip ia tflt `btdrvle. Xfd prindh urd `s ls aieeiws.
<. Nlenueltd tfd prdssurd lt tfd oittik ia tfd `btdr-
vle, ~?.n.
‖3-------
<
?
p?;p@+<.167x<:-‖?(v,, -v,?)3rt`
+1.088x<:->%\7, . . . . . . . . . ,―@@
3 U
wfdrd
―< ; spdn`a`n vieukd ia tfd title aeu`h, nu at/eok
(nibh`t`ib < `s tip ia `btdrvle lbh ? `s
oittik),
k ; edbgtf ia hdptf `btdrvle, at, lbh ―1k.E e,rTNX@i‛ @wnnX@i* NEE
Lp ; ar`nt`ible prdssurd hrip ivdr `btdrvle, ps`.A`g. 81.7-Xdkpdrlturd h`str`out ib `b Klrx-Elbgdbfd`kkihde.
Xfd Odg gs lbh Or`ee nirrdelt ib?> air twi-pflsd aeiw nlbod usdh ti nlenueltd tfd Lp b tfd loivd dqult`ib.
?. Nlenueltd tfd fdlt eiss ivdr tfd `btdrvle.
-:.4(Xa, +Xp)[, . . . . . . . . . . . . . (?<)
wfdr d T, `s tfd ivdrlee fdlt trlbsadr nidaa`n`dbt olsdh
ib iuts`hd nls`bg suralnd, Otuefr-sq at-―A.
>. Nlenueltd tfd stdlk qule`ty lt tfd oittik ia tfd `b-
tdrvle .
wfdrd F,.[ lbh F,,.? lrd tfd dbtflepy ia e`qu`h w ltdr lt
tip lbh oittik ia tfd `btdrvle, Otu/eok, lbh E,,, lbh E,,*
lrd tfd eltdbt fdlt ia vlpir`zlt`ib lt tip lbh oittik ia
tfd `btdrvle, Otu/eok.
Kird _dndbt Hdvdeipkdb ts. L bdw kihde fls oddb hd-
vdeipdh oy Alriuq Le` tflt trdlts wdeeoird fdlt eissds
r`giriusey oy us`bg l gr`h systdk ti rdprdsdbt tfd sur-
riubh`bg airklt`ib. @b lhh`t`ib, tfd prdssurd nlenuelt`ib
lnniubts air se`p lbh tfd prdvl`e`bg aeiw rdg`kd, olsdh
ib wdee-lnndp tdh nirrdelt`ibs.
Lbleyt`nle Kihdes air ^tdlk @bmdnt`ib
Air prdh`nt`bg rdsdrvi`r pdrai rklbnd ubhdr stdlk `bmdn-
t`ib prindssds, tfd usule prlnt`nd `s ti usd tfrdd-
h`kdbs`ible (> H), tfrdd-pf lsd bukdr`nle s`kueltirs.
Wfd rd tfd s`kueltirs lrd ublvl`eloed ir l qu`nc dst`kltd
ia tfd pdrairk lbnd `s bddhdh, ibd nlb rdsirt ti s`kped
lbleyt`nle kdtfihs. Tsuleey tfdsd kdtfihs tlcd `bti ln-
niubt tfd tfdrkle lspdnts ia tfd prindss ibey, w `tfiut
rdglrh ti tfd aeu`h aeiw lspdnts.
Aribt H`spelndkdbt Kihdes
Klrx-Elbgdbfd`k Kdtfih. ?4 Nibs`hdr tflt fdlt `s `b-
mdntdh `bti l ply zibd oiubhdh oy twi bd`gfoir`bg air-
klt`ibs. Xfd fdlt-nlrry`bg aeu`h `s suppi sdh ti lhvlbnd
w`tf l sflrp aribt pdrpdbh`nuelr ti tfd oiubhlr`ds ia tfd
airklt`ib (A`g. 81.7). Xfd fdlt olelbnd g`vds= fdlt `b-
mdntdh `bti tfd ply zibd dqules fdlt eiss ti tfd ivdrour-
hdb lbh ubhdrey`bg strltuk peus fdlt nibtl`bdh `b tfd ply
zibd.
Xfd fd ltdh lrdl lt lby t`kd t nlb od nlenueltdh
L; \r`Kfli
8c,,, ?LX(n‐idranUe333 +?Ms- <) , (?>)
L
wfdrd
L ; fdltdh lrdl lt t`kd t, sq at,t ; t kd s`bnd `bmdnt`ib, fr,
\,3 ; fdlt `bmdnt ib rltd, Otu/fr,
K ; vieukdtr`n fdlt nlpln`ty ia tfd sie`h
kltr`x nibtl`b`bg i`e lbh wltdr,
Otu/nu at-―A
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . (?8)
8 ; piris`ty, arlnt`ib,
Zr&itZw ; hdbs`ty ia rinc grl`b, i`e, wltdr,
eok/nu at,
N,,N,,N, ; fdlt nlpln`ty ia rinc, i`e, wltdr,
Otu/eok-―A,
^,`,^w` ; `b`t le slturlt`ib ia i`e, wltdr , arlnt`ib,
f ; ply tf`ncbdss, at,
l: ; ivdrourhdb tfdrkle h`aaus`v`ty, sq
at/fr,
cfi ; ivdrourhdb tfdrkle nibhunt`v`ty,
Otuefr-at-―A,
LX ; X`h-Xa, ―A,
X`‛m ; `bmdnt ib tdk pdrlturd, ―A,
Xr3 ; `b`t le airklt`ib tdk pdrlturd, ―A,
XQ ; h`kdbs`ibedss t`kd
; 333e,,) <. . (?4)
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81-6
lbh
&y;(~)tO9 . .
Xfd nikpedk dbtlry drrir aubnt`ib `s=
dranx;e-drax;e-<^~d-O?h<>, . . . . . . . . (?7)l
:
wfdrd /> `s l hukky vlr`loed.
Xi dvleultd d‐ Hdran ,& , ibd nlb usd tfd aieeiw`bg
lpprix`klt`ib. ?1
<Edt y; <+i.>?740< <MtH, . . . . . . . . . . . . . . nw
dtHdran&;:.?486?040?y--:.?688017>1y?
+<.8?<8>78<+<.84><4?:?7y8+<.:1<8:48?0y4.
. . . . . . . . . . . . . . . . . . . . . . . . . . . (?0)
Lssukd tflt lee tfd kivloed i`e `s h`spelndh `b tfd fdltdh
lrdl. @a wd lssukd tflt lee tfd h`spelndh i`e `s prihu ndh,
wd nlb nlenultd tf d nukuelt`vd stdlk/i`e rlt`i (^I_ )=
A *;`,vt
.L:8.?74L fr (^,, -^`n,) ‐ ‖. .
(>:)
wfdrd
<, ;stdlk `bmdnt`ib rltd, O/H, nieh wltdr
dqu`vledbt,
si, ; `b`t`le i`e slturlt`i b, lbh
s3, ; `rrdhun`oed i`e slturlt`ib.
H`aadrdbt`lt`ib ia tfd dxprdss`ib air L w`tf t g`vds tfd
rltd ia dxplbs`ib ia tfd fdltdh l rdl. X fd i`e h`spelndkdbt
rltd, q(,h, `b O/H, `s
qih ;8.?74\rr wi` -^i,)
KLX @dridranMt,. . . (><)
Arik tf`s ibd nlb nlenueltd tfd `bstlbtlbdius ^I _
Aei;<4. . . . . . . . . . . . . . . . . . . . . . . . (>? )qih
ZDX_IEDTK DBG@BDD_@BG FLBHOIIC
@t nlb dls`ey od sfiwb tflt
Df ;` d‐Hdran&+? . . . . (>4)
tH
_lkdy‐s Gdbdrle`zlt`ib ia tfd Klrx-Elbgdbfd`k
Kdtfih.‛ Xfd Klrx-Elbgdbfd`k kdtfih nlb od dx-
tdbhdh ti tfd nlsd wfd rd l sdr`ds ia nibstlbt `bmdnt ib rltds
`s kl`btl`bdh ivdr vlr`ius t`kd pdr`ihs. @a tfd fdlt `b-
mdnt`ib rltd `s (\r`)` ivdr tfd pdr`ih I5t5r, , lbh (\,,),,
ivdr tfd pdr`ih t,-< 5t5t,,
L;
`;re- @
+ N S(\,`),-(\,`)3+@eA(rH 3) > . . (>1)`; @
wfdrd
A(tH`);d‐badraNM tH`+?M
. . .
X(>7)
lbh A(~H,);A(NH~) w`tf `;b. Xfd i`e h`spelndkdbt rltd
lt a3 hdpdbhs ib tfd fdlt `bmdnt`ib rltd lt tflt t`kd, `b-
hdpdbhdbt ia tfd prdv`ius fdlt `bmdnt ib rltds.
Klbhe-Qiedc‐s _da`bdkdbt ia tfd Klrx-Elbgdbfd`k
Kdtfih.?6 Klbhe lbh Qiedc iosdrvdh tflt tfd fdltdhlrdl kdlsurdh `b eloirltiry dxpdr`kdb ts tdbhs ti od eiwdr
tflb tflt prdh`ntdh oy tfd Klrx-Elbgdbfd`k kdtfih la-
tdr l ndrtl`b nr`t`nle t`kd, t,. Air t9 t,.,
L; \r`Kfli
8cfi?LXd‐HdranG+?*- < -hD
< t H - t n H->
V
Esas + >dzHdran tH-
<+-
N,LX
t H - t n H-
> M 9r t H
2@
. . . . .
t, `s hdtdrk`bdh oy tf`s dqult`ib=
d‐nHdran& ;<
. . . . . . . . .+ Elg
N,LX
Xfd rdelt`ibsf`p odtwddb t, lbh t& `s lgl`b
l
(>6)
(>0)
. (8:)
Xfd tfdrkle (fdlt) daa`n`dbny, Df, `s hda`bdh ls
wfdrd
\f- ; fdlt rdkl`b`bg `b tfd fdltdh zibd, Otu,
\3, ; title fdlt `bmdnt`ib, Otu, lbh
LfKL XDf ; ~ . . . . . . .,`X (>8)
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XFD_KLE _DNIQD_P 81-0
Kyf`ee lbh ^tdgdkd`dr‛ usdh l se`gftey h`aadrdbt vdr-
s`ib ia tfd Klbh e-Qiedc kihde lbh nlenueltdh i`e/stdlk
rlt`i (I^_) air << a`deh primdnts. Xfdy aiubh tflt tfd ln-
tule I^_‐s rlbgd arik 7: ti <::% ia tfd nlenueltdh rlt`is.
^tdlk Nfdst Kihdes@b nibtrlst ti tfd arib t h`spelndkdbt kihdes h`snussdh
prdv`iusey, Bduklb>: v`sule`zdh tflt stdlk r`sds ti tfd
tip lbh griws oitf fir`zibtleey iutw lrh lbh vdrt`nleey
hiwbwlrh. Hisnfdr lbh Gflssdk`>‐ tiic l v`dw dvdb
kird hrlst`n tflb Bduklb‐s. Xfdy tfdir`zdh tflt stdlk
r`sds ti tfd tip `bstlbtey lbh tfd ibey h`rdnt`ib ia tfd stdlkzibd kivdk dbt `s vdrt`nleey h iwbw lrh. Qigd e<? aie-
eiwdh tfd slkd rdlsib`bg lbh hdvdeipdh tfd aieeiw`bg
s`kped dqult`ib air tfdrkle daa`n`dbny=
<
D,, ; . . . . . . . . (8<)
Xloed 81.7 nikp lrds tf d tfdrkle daa`n`dbn`ds nlenuelt-
dh oy tfd Klrx-Elbgdbfd`k kdtfih lbh tfd Qigde
kdtfih. Xf`s tloed sfiws tflt tfd Qigde kdtfih prdh`nts
l tfdrkle daa`n`dbny tflt e`ds odtwddb 6: lbh <: :% ia tflt
nlenueltdh oy tfd Klrx-Elbgdbfd`k kdtfih.
^tdlk ^t`kuelt`ib
^tdlk st`kuelt`ib usuleey `s nlrr`dh iut b l bukodr ia
nyneds. Dlnf nyned nibs`sts i a tfrdd stlgds= stdlk `bmdn-t`ib, silc`bg, lbh prihunt`ib. Xfd ols`n nibndpt ia tf`s
prindss aieeiws.
W`tfiut st`kuelt`ib, tfd i`e prihunt`ib rltd `s
I.I:7:6cc,f
8 in ; (p, -p ,), . . . . . . . . (8?).
wfdrd
8in ;
c;
c t-: ;
ZI5 -
ZN -
ZU,‐ ;
nieh i`e prihunt`ib rltd, O/H,
losieutd pdrkdlo`e`ty. kh,
rdelt`vd pdrk dlo`e`ty ti i`e, arlnt`ib,nieh i e v`snis`ty, np,
stlt`n airklt`ib prdssurd lt dxtdrble rlh`us
r,, ps`l, lbh
oittikfied prdssurd, ps`l.
Latdr stdlk `bmdnt`ib, tfd i`e `bs`hd tfd fdltdh rdg`ib,
r, 5 r5 rf, w`ee flvd l eiwdr v`snis`ty, p&. Xfd fit i`e
prihunt`ib, qif, `s=
I.I:7:6cc,f
qif ;
pif ebrf+pin @bc(Z, -Z,), . . (8>)
rw r f
XLOED 81.7-NIKZL_@^IB ODXWDDB KL_V-ELBGDBFD@K
LBH QIGDE K DXFIH^
Xfdrkle Daa`n`dbny_lt`i
t,Klrx-Elbgdbfdek Qigde Qigde/KE
:.:< :.0>: :.0:: :.017
:.< : . 6 :8 : . 7 >7 :.0<7
< .i : . 441 : . 87: : . 684
<:.: : . ?78 :.?<0 :.700
<::.: :.<:> :.:6< : . 7 67
wfdrd rf dqules tfd rlh`us ia tfd fdltdh rdg`ib, at. Xfd
rlt`i odtwddb qif lbh qin `s
‖ 9 f <-; . . . . . (88)8in eb‐f ebX‐
pif r fr t ,
pk e br , e b r ,
r w r w
Ls tfd rdsdrvi`r aeu`hs lrd prihu ndh, dbdrgy lssin`lt-
dh w`tf tfd aeu`hs lrd rdkivdh arik tfd rdsdrvi`r. Xf`s
nlusds l rdhunt`ib `b rf lbh l rdhunt`ib `b tdkpdrltu rd,
wf`nf `bnrdlsds ZI),.
^dvdrle kd tfihs flv d oddb hdvdeipdh air nlenuelt`bg
rdsdrvi`r pdrairklb nd ubhdr stdlk st`kuelt`ib. Ibd ia
tfd kdtfihs, wf`nf fls db‐i ydh w `hd lnndptlbnd, `s tfdhOiodrg lbh Elbtz kdtfih. > Xf`s kdtfih lssukds l nib-
stlbt rf, w`tf l nflbg`bg X `bs`hd tfd fdltdh zibd. Xfd
kdtfi h nibs`sts ia tfd aieeiw`bg stdps.
<. Nlenueltd tfd s`zd ia tfd fdltdh rdg`ib us`bg tfd
Klrx-Elbgdbfd`k kdtfih.
?. Nlenueltd tfd lvdrlgd tdkpdrltu rd `b tf`s rdg`ib.
>. Nlenueltd tfd i`e prihunt`ib rltd, tlc`bg `bti lnniubt
tfd rdhundh i`e v`snis`ty `b tf`s rdg`ib.
8. _dpdlt ^tdps < tfriugf > air sunnddh`bg nyneds, oy
`bneuh`bg tfd rds`hule f dlt edat arik prdndh`bg nyneds.
Xfd lvdrlgd tdkpdrlturd ia tfd fdltdh rdg`ib `s nlenu-
eltdh oy
--X;X_+(Xs-X_)SQ,Qz(e-1)-f[, . . . . .(84)
wfdrdXV
X_ ;
X, ;
--v,,v, ;
Q,,Q@ ;
1;
lvdrlgd tdkpdrlturd ia tfd fdltdh rdg`ib,
r,5r5rf, lt lby t`kd t, ―A,
ir`g`ble rdsdrvi`r tdkpdrltu rd, ―A,
stdlk tdkpd rlturd lt slbhalnd `bmdnt`ibprdssurd, ―A,
lvdrlgd vleuds ia Q,, Q, air I5 r5 rf lbh
lee f`,*
ub`t sieut`ib ai r tfd nikpibdb t nibhunt`ib
prioedks `b tfd r lbh z h`rdnt`ibs, lbh
dbdrgy rdkivdh w`tf tfd prihundh aeu`hs,
h`kdbs`ibedss.
Xfd qulbt`t`ds s7[. lbh v] nlb od iotl`bdh arik A`g.
81.6 ls aubnt`ibs ia h`kdbs`ibedss t`kd, tH. Air v,.,
tH ;
li a-t`)
? ) . . . . . (81)r f
‖Xfdsd sykoies flvd bi pfys`nle nibbielt~ib. Xfdy lrd lkpey kltfdkl`enle sykoies
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81-<: ZDX_IEDTK DBG@BDD_@BG FL BHOIIC
@m<~<<S ~eeeee < @‐
^3=t, ;litt-@,)..- %(t-8)
7,=t, ;-
i.m ~v3 ~ /
:.:< :.< <.: <: <ln
A`g. 81.6--^ieut ibs air Q, lbh Q,, s`bged slbh.
wfdrd
l, ;
t;
ivdrourhdb tfdrkle h`aaus`v`ty, sq at/H,
t`kd s`bnd s tlrt ia `bmdnt ib air tfd nurrdbt
nyned, H,
t` ;
a-f ;
Air vz,
t`kd ia `bmdnt`ib air tfd nurrdbt nyned, H,
lbh
rlh`us ia rdg`ib ir`g`bleey fdltdh , at.
ti, H@KDB^@IBED^^ X@KD
li t - - t ` )
tH; -?
, . . . . . . . . . . . . . . . . . . . . . . . . . .
F@
wfdrd
F, ;k~ ` t ( . a s E s a Fw> s - Fw~ )
Wf ?WQs - X_) B,
) .
(87)
(86)
lbh
k , ` t ; title klss ia stdlk `bmdntdh, eok,
B, ; bukodr i a slbhs,
F, v s M‐ , v ~ ; dbtflepy, Otu/eok, ia wltdr lt stdlk
lbh rdsdrvi`r tdkp drlturds, ―A, lbh
L8 ; vieukdtr`n fdlt nlpln`ty, Otu/nu at-―A.
Xfd dbdrgy rdkivdh w`tf prihundh aeu`hs, 1, nlb odnlenueltdh tfus=
wfdrd
f, ; title tf`ncbdss ia lee slbhs, at,
\, ; fdlt rdkivle rltd lt t`kd t, OtueH,
\r, ; qif(F ig+F ,), . Y . . . . . . . . . . .
Fi, ; (4.1<81K, +_,N,)J -X_), . . . . .
lbh
(80)
(4:)
(4<)
F, ; 4.1<81 p,SA,,(fa-F~,_)t_ tE,[, . . (4?)
wfdrd f a `s tfd dbtflepy ia e`qu`h w ltdr lt X loivd >?ºA
(sdd stdlk tloeds), OtuLok , F, `s tfd dbtflepy ia i e
lbh gls olsdh ib l ^XO ia i`e, Otu e^XO i`e, lbh F,. `s
tfd dbtflepy ia wltdr nlrr`dh oy i`e olsdh ib l ^XO ia
i`e, Otu/^XO i`e. Lesi E, `s faC `b tfd stdlk tloeds.
@a Z Kz Z s lbh A,, 5 Awnet
A,, ;:.:::<>41 .- L- _,, . . . . . . . .( 2 (4>)ZW-Z
ooe e`qu`h wltdr lt 1:‛ A/^XO i`e.
@a A,, (nlenueltdh) 2 A,, ,
A,, ;A,,,. . . . . . . . . . . . . . . . . . . . . . . (48 )
@b tfd loivd,
_, ; title prihundh GI_, sna/^XO,
A wdt ; title prihundh WI_, ^XO@^XO,
A,, ; stdlk/i`e rlt`i, ^XO/^ XO,
ZW ; prihun`bg oittikf ied prd ssurd, p s`l, lbh
ps ; slturltdh vlpir prdssurd ia wltdr lt 9,
ps`l.
Xfd rltd ia fit i e prihunt`ib nlb od nlenueltdh tfus=
qif;AMMn Lp, . . . . . . . . . . . . . . . . . . . . . . . . ...(K)
wfdrd AM `s tfd rlt`i ia st`kueltdh ti ubst`kueltdh
prihunt`v`ty `bhdxds, h`kdbs`ibedss,
<AM; , . . . . . . . . . . . . . . . . . . . . . (41)
DN< tn?
Zid
lbh M, `s tfd ubst`kueltdh (nieh) prihunt`v`ty `bhdx,
^XO@Heps`,
M, ;:.iii7:6cc,f
. . . . . . . . . . . . . . . . . . . . . (47)
pit ebX‐rw
@a Zd `s nibstlbt,
eb9
n, ; rw . . . . . . . . . . . . . . . . . . . . . . . . . (46)
ebX‐rw
lbh
`bc
n*; rf. . . . . . . . . . . . . . . . . . . . . . . . . . (40)
ebr,rw
Xfus D q. 4 4 `s `hdbt`nle w`tf D q. 8> `b tf`s nlsd. @ap,
`s hdne`b`bg,
ebXc--- 8
n, ; rw ?rd? ,.....................
&L
(1:)
rw ?
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XFD_KLE _DNIQD_P 81-<<
J l NZ
A`g. 81.0-Nirrdelt`ib ia stdlk st`kuelt`ib rdsuets.
lbh
r f?
, b r , - @ +-
n? ;rf ? ?rd?
. . . . . . . . . . . . . . . . (1<)
,&<. ,
r, ?
Xf`s kdtfih i a nlenuelt`bg i`e prihunt`ib rltd `s priol-
oey tfd wdlcdst plrt ia tfd Oiodrg-Elbtz kdtfih.
<. @t lssukds l kibitibd hdne`bd odtwddbp , lbhp,.
Lntuleey, odnlusd tfd `bmdntdh stdlk `s lt l f`gf prdssurd,
tfdrd niueh od l f`gf prdssurd ps bdlr rf lbh tfd prds-
surd hdne`bds tiwlrh oitf p ,+ lbh pd .
?. Ibey tfd nflbgd `b p: `s lnniubtdh air `b nflbg`bg
arik nieh i e prihunt`v`ty ti fit i e prihunt`v`ty. Edat ub-
lnniubtdh air `s tfd nflbgd `b c, , wf`nf sfiueh nflbgd
w`tf nflbg`bg ^,.
Olsdh ib tfd Oiodrg-Elbtz kdtfih, l nirrdelt`ib wls
hdvdeipdh oy Oiodrg lbh Wdst>8 tflt leeiws ibd ti ds-
t`kltd `bnrdkdbtle I^_ w`tf cbiwb rdsdrvi`r pripdrt`ds
(A`g. 81.0).
Bukdr`nle ^`kuelt`ib
Xfd lbleyt`nle k ihdes air tfdrkle rdni vdry prindss ds
usuleey lrd nibndrbdh w`tf tfd tfdrkle lsp dnts ia tfd prin-
dssds ibey. Xfd aeu`h aeiw lspdnts l rd bdgedntdh. Xi ln-
niubt lhdqultdey air tfd aeu`h aeiw `bs`hd piriu s kdh `l
ubhdr l tfdrkle rdniv dry p rindss, bukdr`nle s`kueltirs
w`ee od bddhdh. @b tfdsd s`kueltirs, tfd rdsdrvi`r `s h`v`hdh
`bti l bukodr ia oeincs lrrlbgdh `b ibd, twi , ir tfrdd
h`kdbs`ibs. L hdtl`edh stuhy `s klhd ia tfd rdsdrvi`r oy
lppey`bg aubhlk dbtle dqult`ibs air aeiw `b pirius k d-
h`l ti dlnf ibd ia tfd oeincs.
Bukdr`nle rdsdrvi`r s`kueltirs lrd bi suost`tutd air
a`deh p`eits. Xfdy flvd sdvdrle lhvlbtlgds, fiwd vdr, ivdr
a`deh p`eits. A`deh nibh`t`ibs lrd `rrdvdrs`oed. @t tiic k`e-
e`ibs ia ydlrs air tfd a`deh ti hdvdeip ti tfd prdsdbt stltd.Ibnd h`sturodh, `t nlbbit rdvdrt ti tfd ir`g`ble nibh`t`ibs
lbh stlrt ivdr lgl`b‐. Aurtfdrkird, `t tlcds l eibg t`kd,
`b tdrks ia kibtfs ir dvdb ydlrs, odaird tfd p`eit rdsuets
nlb od dvleultdh. Xfd nist air p`eits `s, ia niursd, dbir-
kius. @b nikplr`sib , l s`kueltdh rdsdrvi`r nlb od pri-
hundh klby t`kds, dlnf t`kd stlrt`bg lt tfd dx`st`bg stltd.
Xf`s nlb od hibd w`tf`b l sfirt pdr`ih ia t`kd, `b tdrks
ia sdnibhs, ibnd tfd rdsdrvi`r kihde `s pripdrey sdt up.
Xfd nist air rdsdrvi`r s`kuelt`ib `s kunf edss tflb tflt
ia l p`eit. Fiwd vdr, s`kueltdh rdsdrvi`rs kly bdvdr hupe -
nltd a`deh pdrairklbn d. Ki hdk prlnt`nd `s ti usd rdsdr-
vi`r s`kuelt`ib ti fdep hds`gb l p`eit odaird elubnf`bg l
elrgd-snled a`deh hdvdeipkdbt.
Bukdr`nle kihdes lbh pfys`nle kihdes lrd nikpedkdb-tlry ti dlnf itfdr. Ls w`ee od hdtl`edh eltdr, pfys`nle
kihdes nlb od nelss`a`dh `bti twi typds= dedkdbtle kihd es
lbh plrt`leey snledh kihdes. @b lb dedkdbtle kihde, dx-
pdr`kdbts lrd nibhuntdh w`tf lntule rdsdrvi`r rinc lbh
aeu`hs. Xfd rdsuets nlb fdep dxpel`b vlr`ius aeu`h aeiw lbh
fdlt trlbsadr kdnflb`sks ls wdee ls nfdk`nle rdlnt`ib c`-
bdt`ns. @b l plrt`leey snledh kihde, rdsdrvi`r h`kdbs`ibs,
aeu`h pripdrt`ds, lbh rinc pripdrt`ds lrd snledh air tfd
eloirltiry kihde si tflt tfd rlt`is ia vlr`ius airnds `b
tfd rdsdrvi`r lbh tfd pfys`nle kihde lrd bdlrey tfd slkd.
Ibd nlb ibey ou`eh plrt`leey snledh kihdes o dnlusd aueey
snledh kihdes lrd h`aa`nuet ir `kpiss`oed ti nibstrunt. Ibd
ia tfd lhvlbtlgds ia l bukdr`nle kihde ivdr l pfys`nle
kihde `s tflt tfdrd `s bi snle`bg prioedk `b bukdr`nles`kuelt`ib. Fiw dvdr, `b klby nlsds, l bukdr`nle kihde
bddhs pfys`nle k ihdes ti vle`hltd tf d airkuelt`ib ir ti
priv`hd bdndsslry `bput hltl air tfd s`kuelt`ib.
^tdlk @bmdnt`ib Kihde
Bukdr`nle s`kuelt`ib kihdes air stdlk `bmdnt`ib prin-
dssds flvd oddb hdvdeipdh oy Nilts dt l<.>4 lbh
Nil ts. >1.>7 L stdlk `bmdnt`ib kihde nibs`sts ia l buk-
odr ia nibsdrvlt`ib dqult`ibs.
<. Klss olelbnd ia F z :. Oitf wltdr lbh stdlk lrd `b-
neuhdh.
?. Klss olelbnds ia fyhrinlroibs. Ibey ibd dqult`ib
w`ee od bdndsslry air bibvielt`ed i`e. Air vielt`ed i`e, twiir kird psduhinikpibdbts w`ee od bddhdh ti hdsnr`od tfd
vlpir`zlt`ib/nibhdbslt`ib pfdbikdbib ia tfd i`e lbh twi
ir kird dqult`ibs w`ee od bddhdh.
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81-<? ZDX_IEDTK DBG@BDD_@BG FLBHOIIC
>. Dbdrgy olelbnd. Xfd dbdrgy olelbnd lnniubts air
fdlt nibhunt`ib, nibvdnt`ib, vlpir`zlt`ib/nibhdbslt`ib
pfdbikdbib , lbh fdlt eiss arik tfd ply zibd ti `ts lhml-
ndbt airklt`ibs. Xfd bddh ti `bneuhd lb dbdrgy olelbnd
`b tfd kihde sdts tfd tfdrkle rdnivdry prinds sds lplrt
arik `sitfdrkle prindssds air i`e rdnivdry.
@b lhh`t`ib ti tfd nibsdrvlt`ib dqult`ibs, tfd kihdebddhs ti `bneuhd tfd aieeiw`bg lux`e`lry dqult`ibs.
<. @a oitf wltdr lbh stdlk nidx `st, tdkpdrltu rd `s tfd
slturltdh stdlk tdkpdrlturd air l g`vdb prdssurd. Lb
dqult`ib `s bddhdh ti hdsnr`od tf`s rdelt`ibsf`p odtwddb
tdkpdrltu rd lbh prdssurd.
?. Xfd suk ia slturlt`ibs air tfd i`e, wltdr, lbh gls
pflsds dqules ub`ty.
>. Xfd kie arlnt`ibs ia fyhrinlroib nikpibdb ts `b tfd
e`qu`h lbh gls pflsds lrd rdeltdh tfriugf dqu`e`or`uk
vlpir`zlt`ib nibstlbts (C-vleuds).
8. Xfd suk ia gls-pfl sd kie arlnt`ibs dqules ub`ty.
Xf`s `bneuhds stdlk lbh lby vielt`ed nikpibdbts ia fyhri-
nlroibs.
4. Xfd suk ia e`qu`h-pflsd kie arlnt`ibs air fyhrinl r-
oibs dqules ub`ty.
@b-^`tu Nikoust`ib Kihde
Bukdr`nle s`kuelt`ib kihdes fl vd oddb hdvdeipdh oy
Nriicstib dt le., >g Piubgrdb, >0 Nilts,8: lbh Grloiw-
sc` dt l<.8‐ Xfd `b-s`tu nikoust`ib kihde `s kird nik-
pe`nltdh tflb tfd kihde air stdlk `bmdnt`ib. Xfd
nibsdrvlt`ib dqult`ibs lrd ls aieeiws.
<. Klss olelbnd ia F?:. Xf`s dqult`ib `bneuhds tfd
wltdr prihundh arik nikoust`ib.
?. Klss olelbnds ia fyhrinlroibs. Xf`s `bneuhds nib-
sukpt`ib ia ndrtl`b fyhrinlroibs tfriugf nrlnc`bg lbh
nikoust`ib. @t lesi kly `bneuhd tfd prihunt`ib ia ndr-tl`b itfdr nikpib dbts tfriugf nrlnc `bg.
>. Klss olelbnd ia ixygdb. Xf`s lnniubts air tfd nib-
sukpt`ib ia ixygdb oy nikoust`ib.
8. Klss olelbnd ia `bdrt gls. @a l`r `s usdh, tfd nibsdr-
vlt`ib ia b`trigdb sfiueh od lnniubtdh air. NI? pri-
hundh arik nikoust`ib kly od `bneuhdh `b tfd dqult`ib
air tfd `bdrt gls ir od trdltdh sdplrltdey.
4. Klss olelbnd ia nicd. Xf`s `bneuhds tfd airklt`ib
lbh ourb`bg ia nicd.
1. Dbdrgy olelbnd. Xf`s dqult`ib biw `bneuhds tfd fdlt
ia rdlnt`ib air tfd rdlnt`ibs `bvievdh `b tfd `b-s`tu nik-
oust`ib prindss. Xfdsd rdlnt`ibs kly `bneuhd eiw-
tdkpdrltu rd ix`hlt`ib ia fyhrinlroi bs, f`gf-tdk pdrlturd
ix`hlt`ib i r ourb`bg ia fyhrinlroi bs, tfdrkle nrlnc`bg(wf`nf prihunds nicd lbh itfdr prihunts), lbh nikous-
t`ib ia nicd.
Xf`s kihde lesi bddhs l bukodr ia lux`e`lry dqult`ibs,
wf`nf `bneuhd (<) stdlk/w ltdr dqu`e`or`uk, (?) vlpir`-
zlt`ib dqu`e`or`uk ia fyhrinlroi bs, (>) pflsd slturlt ib
nibstrl`bts, (8) kie arlnt`ib nibstrl`bts, lbh (4) nfdk`-
nle sti`nf`ikdtry. Lb dxlkp ed `s=
I`e+l :? -+o NI? +n Fz:
Xf`s slys tflt ibd kie ia i`e rdlnts w`tf l kies ia ixy-
gdb ti airk o kies ia NI< lbh n kies ia FzI.
Xf`s kihde lesi rdqu`rds l nfdk`nle rdlnt`ib c`bdt`ns
dqult`ib. Air dlnf rdlnt`ib `bvievdh `b tfd prinds s, lb
dqult`ib nlb od wr`ttdb ti hdbitd tflt tfd rdlnt`ib rltd
vlr`ds ls l aubnt`ib ia tdkpdrltu rd lbh nibndbtrlt`ibs ia
tfd vlr`ius rdlntlbts. Ibd piss`oed ai rk ia tfd rdlnt`ib
rltd dqult`ib `s tfd aieeiw`bg Lrrfdb`us dqult`ib=
w;c‐(N,)k(NI,)b dxp
Xf`s dqult`ib slys tflt tfd rdlnt`ib rltd, w, `s pripir-
t`ible ti tfd nibndbtrlt`ib ia i`e, N, , rl`sdh ti tfd ktf
piw dr t`kds tfd nibndbtrlt`ib ia ixygdb, Ni, , rl`sdh
ti tfd btf piwdr. Xfd tdkpdrlturd hdpdbhdbnd iatfd rdln-
t`ib rltd `s `b tfd g`vdb dxpibdb t`le airk, wfdrd D `s tfd
lnt`vlt`ib db drgy, tfd dbdrgy olrr`dr tf d rdlntlbts bddhti ivdrnikd odaird od`bg nibvdrtdh ti tfd prihunts, _
`s tfd gls nibstlbt, lbh X `s tfd losieutd tdkpdrltu rd. Xfd
pripirt`ible`ty nibstlbt, c‐, usuleey `s nleedh tf d prd-
dxpibdbt`le alntir.
Xfd kihdes hdvdeipdh si alr lrd ode`dvdh ti od lhd-
qultd ls alr ls tfd airkuelt`ib ia tfd prindss kdnflb`sks
`s nibndrbdh. Fiwd vdr, prioedks loiub h.
<. Lrt`a`n`le ordlchiw b ia tfd nruhd i`e `bti twi nik-
pibdbts kly bit od suaa`n`dbt ti hdsnr`od al`tfaueey tfd
vlpir`zlt`ib/nibhdbslt`ib pfdbikdb l lbh tfd nfdk`nle
rdlnt`ibs `bvievdh `b tfd nikoust`ib prindss. Ki rd nik-
pibdbts kdlb kird dqult`ibs ti od sievdh lbh fdbnd
f`gfdr nikputdr nists.
?. Xfd gr`h s`zd prioedk niueh od sdvdrd. L gr`h s`zd
elrgd dbiugf air dnibik`n nikputlt`ib niueh grdltey h`s-
tirt tfd tdkpd rlturd h`str`out`ibs `b tfd s`kueltdh rdsdr-
vi`r. Xf`s wiueh edlh ti drribdius prdh`nt`ibs ia tfd
nfdk`nle rdlnt`ib rltds lbh tfus ia rdsdrvi`r pdrairklbnd
ubhdr nikoust`ib.
Eloirltiry Dxpdr`kdbtlt`ib
Xfd tfdrkle bukdr`nle kihdes flv d oddb usdh w`hdey air
snrddb`bg tfdrkle prisp dnts, hds`gb`bg a`deh primdnts, lbh
airkuelt`bg prihunt`ib strltdg`ds. ^t`ee, wd nlbbit nik-
pedtdey h`spdbsd w`tf eloirltiry dxpdr`kdbts air sdvdrle
rdlsibs. A`rst, tfd bukdr`nle kihdes bddh hltl tflt nlb
od kdlsurdh ibey dxpdr`kdbtleey. Xfdsd hltl `bneuhd rdel-
t`vd pdrkdlo`e`t`ds, nfdk`nle c`bdt`ns, lhsi rpt`ib ia nfdk-
`nles ib rincs, dtn. ^dnibh, tfd bukdr`nle kihdes lrd vle`h
ibey wfdb lee tfd pdrt`bdbt kdnflb`sk s lrd lnniubtdh air.
Xfd nurrdbtey lvl`eloed ki hdes nlbbit flbhed lhdqultdey
s`tult`ibs sunf ls `bmdnt ib ia nfdk`nles leibg w`tf stdlk,
swdee`bg ia nelys, wf `nf rdhunds tfd pdrkdlo`e`ty, dtn.
Ls prdv`iusey kdbt`ibdh, pfys`nle k ihdes air tfdrkle
rdnivdry prindss ds kly od nelss`a`dh `bti twi typds,blkdey, dedkdbtle kihd es lbh plrt`leey snledh kihdes.
Xfd dedkdbtle kihd es lrd usdh ti stuhy tfd pfys`ni-
nfdk`nle nflbgds `bs`hd l rinc-aeu`h systdk ubhdr ndr-
tl`b sdts ia ipdrlt`bg nibh`t`ibs lbh lrd birkleey zdri-
h`kdbs`ible (IH) ir ibd-h`kdbs`ible (<H). Xfd plrt`le-
ey snledh kihdes lrd usdh ti s`kueltd tfd pdrairklbnd ia
l rdsdrvi`r ubh dr tfdrkle rdni vdry i pdrlt`ibs lbh lrd bir-
kleey >H . Letfiugf tfd `btdbt `s ti snled dvdry pfys`ni -
nfdk`nle nflbgd tflt tlcds pelnd `b tfd prindssds, tfd
kihdes usuleey lrd plrt`leey snledh odnlusd ia tfd dxtrdkd
h`aa`nuety `b lnf`dv`bg auee snle`bg.
Dedkdbtle Kihdes
Dedkdbtle kihdes usdh air stdlkaeiih`b nlb od dxdk-
pe`a`dh oy tfisd usdh oy W`eeklb dr le. eg 7 @b tfd`r nels-
s`n wirc, tfdy usdh gelss odlh plncs lbh blturle nirds
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XFD_KLE _DNIQD_P 81-<>
ia h`aadrdbt edbgtfs ti stuhy tfd rdnivdry ia i`e ubhdr f it
wltdraeiih lbh stdlkaeiih lt h`aadrdbt tdkpdrlturds. Xfd
i`es usdh `bneuhdh nruhds ia h`aadrdbt grlv`t`ds lbh i`e
arlnt`ibs.
A`rdaeiih pits lbh nikoust`ib tuods lrd lesi dedkdb-
tle kihd es. @b lbitfdr nelss`n wirc , Ledxlbhdr dt ~<.~~
usdh a`rdaeiih pits (IH) ti stuhy aude elyhiwb lbh l`r rd-
qu`rdkdbt, ls laadntdh oy nruhd i`e nflrlntdr`st`ns, pirius
kdh`uk typd, i`e slturlt`ib, l`r aeux, lbh t`kd-
tdkpdrlturd rdelt`ibsf`ps. Xfd nikoust`ib tuod (<H) usdh
oy ^fiwletdr dbloedh f`k ti hde`bdltd tfd tdkpdrlturd
pria`eds lt vlr`ius t`kds, tfus g`v`bg tfd nikoust`ib aribt
vdein`ty. Ki rd rdndbtey, nik oust`ib tuods wdrd usdh ti
stuhy tfd usd ia wltdr leibg w`tf l`rKL lbh tfd usd ia
ixygdb-dbr`nfdh l`r `b nikoust`ib. 87
Zlrt`leeynledh ihdes
Zlrt`leey snledh kihdes fl vd oddb usdh ti s`kueltd stdlk-
aeiihs `b 4/6 a l a`vd-spit plttdrb, 8 ia l a`vd-spit plt-
tdrb, dtn.86- 4> ^`k`elr lttd kpts flvd lesi oddb klh d air
t`rdaeiihs. Fiw dvdr, `t `s ndrtl`bey kunf kird h`aa`nuet
ti `bneuhd nfdk`nle c`bdt`ns leibg w`tf tfd aeu`h aeiw lbh
fdlt trlbsadr lspdnts ia tfd nikoust`ib prinds s.
Zlrt`leey snledh kihdes air stdlkaeii hs alee `bti twi
typds, blkdey, f `gf-prdssurd kihd es lbh vlnuuk ir eiw-
prdssurd kihdes.
F`gf-Zrdssurd Kihdes. Lee dxpdr`kdbtle stuh`ds ib
stdlkaeiih`bg flh usdh f`gf-prdssurd kihdes ubt`e
vlnuuk kihdes nlkd leibg lbh iaadrdh lb letdrb lt`vd lp-
prilnf . Xfd snle`bg elws ia Zumie lbh Oiod rg birkleey
wdrd aieeiwd h `b tfd hds`gb. @a tfd h`kdbs`ibs lrd snledh
hiwb oy l alntir ia A `b tfd kihde, tfd stdlk `bmdnt`ibrltd w`ee od snledh hiwb oy tfd slkd alntir lbh si w`ee
tfd prdssurd hrip odtwddb tfd `bmdntir lbh tfd prihundr.
Xfd pdrkdlo`e`ty w`ee od snledh up oy l alntir ia A, lbh
tfd kihde t`kd w`ee od snledh hiwb oy l alntir ia A*.
Odnlu sd ia tfd bdndss`ty ia `bnrdls`bg tfd pdrkdlo`e`ty
`b tfd kihde ti l grdlt dxtdbt, rdsdrvi`r rinc kltdr`le nlb-
bit od usdh. B dvdrtfdedss, tfd dxpdr`kdbts w`ee od nib-
huntdh w`tf tfd lntule nruhd. Lesi, tfd stdlk prdssurd
lbh stdlk qu le`ty ti od dkpeiyd h `b tfd a`deh w`ee od usdh
`b tfd kihde
Qlnuuk Kihdes. @b l sklee-snled pfys`nle kihd e, tfd
tf`ncbdss `s rdhundh grdltey ls nikp lrdh w`tf tflt `b tfd
a`deh. Xi iotl`b tfd slkd grlv`tlt`ible daadnts ls `b tfd
a`deh, tfd prdssurd hrip arik tfd `bmdntir ti tfd prihun dr
lesi kust od rdhundh grdltey. Xfd vlpir`zlt`ib`nibhdb-
slt`ibfdbikdbib ia wltdr lbh fyhrinlroibs `s givdrbdh
oy tfd Nelus`us-Nelpdyrib dqult`ib, wf`nf `bvievds
h @b p, ir \/p. Xfus, l hdnrdlsd `b tfd prdssurd hrip (hp)
bdndss`tltds l nirrdspibh`bg hdnrdl sd `b tfd prdssurd (p)
`tsdea. Xf`s `s tfd rlt`ibled odf`bh tf d vlnuuk-ki hde lp-
prilnf hdvdeipdh oy tfd ^fdee griup ls rdpirtdh oy
^tdgdkd`dr dt le. ‛
Xi sdd tfd h`aadrdbnds odtwddb l f`gf-prdssurd kihde
lbh tfd vlnuuk kihde, Xloed 81.6 f ls oddb prdplrdh air
us`bg oitf kihdes ti s`kueltd l fypitfd t`nle a`deh dedkdbt
w`tf l fypitf dt`nle i`e. Xfd dbtr`ds air tfd f`gf-prdssurdkihdes wdrd olsdh ib tfd snle`bg elws ia Zumie lbh
Oiodrgs lbh tfd dbtr`ds air tfd vlnuuk kihde wdrd
olsdh ib tfd wirc ia ^tdgdkd`dr dt ~<.~~
XLOED 81.6-NIKZL_@^IB IA F@GF-Z_D^^T_D LBH
QLNTTK KIHDE^ AI_ ^XDLKAEIIH^
Edbgtf, at
Zdrkdlote`ty,hlrn`ds
X`kd
^tdlk rltd
Zrdssurd <, ps`l
^tdlk qule`ty
I`e v`snis`ty, np
Xdkpdrlturd, IA
Zrdssurd ?. ps`l
^tdlk qule`ty
I`e v`snis`ty, np
Xdkpdrlturd, IA
A`deh
??0
F`gf-Zrdssurd Qlnuuk
Kihde Kihde
? 846 <,4?7
4 yrs 4: k`b <?: k`b
>:: O@H <88.7 nk>/k`b ?1>.< nk>/k`b
8:: 8:: ?.7:
:.6: :.6: :.:6?
>.: >.: ?>.1
884 884 <>7.4
<:: <:: <.?8
:.6: :.6: :.<:6
1.> 1.> >6.?
>?6 >?6 <:6.0
Xfd aieeiw`bg iosdrvlt`ibs nlb od klhd ib tfd f`gf-prdssurd lbh vlnuuk kihdes.
<. Bd`tfdr tfd f`gf-prdssurd kihde bir tfd vlnuuk
kihde nlb lnnurltdey s`kueltd tfd nlp`eelry airnds lbh tfd
rdelt`vd pdrkdlo`e`ty nurvds ia tfd lntule rinc/aeu`h sys-
tdk odnlusd, ti iotl`b l vdry f`gf pdrkdlo`e`ty, lntule
rinc kltdr`le `s bit od`bg usdh.
?. Xfd f`gf-prdssurd kihde h ids bit iosdrvd tfd
Nelus`us-Nelpdyrib dqult`ib, wfd rdls tfd vlnuuk kihde
aieeiws `t ti l elrgd dxtdbt out bit dxlntey.
>. Xi usd tfd vlnuuk kihde, lb i`e fls ti od rdnibst`-
tutdh ti iotl`b tfd rdqu`rdh i`e v`snis`ty/tdkpd rlturd rdel-
t`ibsf`p. Xf`s `s nikpedtdey h`aadrdbt arik tfd lntule nruhd
`b klby pfys`ninfdk`nle lspdnts, `bneuh`bg `ts vlpir`-
zlt`ib/nibhdbslt`ib odflv`ir lbh nfdk`nle c`bdt`ns. @bnibtrlst, l f`gf-prdssurd kihde birkleey usds lntule
nruhds.
A`deh Zrimdnts
^nrddb`bg Gu`hds
@b hdle`bg w`tf i`e prispdnts, tfd a`rst stdp `s ti a bh iut
wfdtf dr tf d a`deh `b qudst`ib nlb od prihu ndh oy ndrtl`b
rdnivdry kdtfi hs. ^nrddb`bg gu`hds lrd usdaue air tf`s
purpisd . ^nrddb`bg gu`hds air stdlkaeiih lbh a`rdaeiih
prindssds flvd oddb pripisdh oy vlr`ius lutfirs `bneuh-
`bg Alriuq Le`, 47 Gdaadb, 46 Edw`b dt le., 40 @yi-
fi, 1iNfu, 1<-1>lbh Zidttklbb. J Xfdsd snrddb`bg gu`hds
lrd e`stdh `b Xloed 81.0.
L pdrusle ia tfd vlr`ius snrddb`bg gu`hds e`stdh `b Xl-
oed 81.0 sfiw s tflt sikd ia tfd dlre`dr snrddb`bg gu`hds
wdrd qu`td rdstr`nt`vd `b sdednt`bg i`e prispd nts. ^unf l
gu`hd tdbhs ti k`b`k`zd tfd drrir i a tfd sdnibh c`bh, tflt
`s, tfd r`sca dxneuh`bg sikd ubhds`rloed prispd nts. @b
si hi`bg, `t tdbhs ti `bnrdlsd tfd drrir ia tfd a`rst c`bh,
tflt `s, tfd r`sc ia k`ss`bg sikd hds`rloed prispdn ts. _d-
ndbt nflbgds `b tfd pr`nd strunturd ia tfd nruhd i`e lbh
`kprivdh tdnfbieigy fdepdh ti w`hdb tfd rlbgd ia lppe`nl-
o`e`ty air tfd stdlkaeiih lbh a`rdaeiih prinds sds. Xf`s `s
rdaedntdh `b tfd edss rdstr`nt`vd snrddb`bg gu`hds hdvdeipdh
`b kird rdndbt ydlrs. F iwdv dr, `b k`b`k`z`bg tfd drrir
ia tfd a`rst c`bh (drribdius rdmdnt`ib), tfd bdwdr gu `hdskly piss`oey `bnrdlsd tfd drrir ia tfd sdnibh c`bh (dr-
ribdius lnndptlb nd). Xf`s sfiueh od oirbd `b k`bh wfdb
lppey`bg tfdsd gu`hds ti i`e prispd nts.
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81-e 8 ZDX_IEDTK DBG@BDD_@BG FLBHOIIC
A`rdaeiihs
Zidttklbb J
Gdaadb46
Edwb lbh
Lssins. ‛
Nfu‛
eyifiK
Nf‛‛
XLOED 81.0--^N_DDB@BG GT@HD^ AI_ ^XDLKAEIIH LBH A@_DAEIIH Z_I MDNX^
Pdlr f H 8 f-YY
<07> 6>: 5 >,::: :.>: - <,::: <? ti <4 5@.::: :.<4 ti :.??
<07> 2?: 58,::: 2eI 2?: ?:.<:
<071 2?: 54::: 2 :.4: 2@: 2@:: 2 :.:14<070 >: ti 8:: ?.4:: ti 4.::: 2i >: 2 <,::: 2:.4: <: ti ?: ?:: ti <,::: 24: 2 :.:14
<00> 2eI 28:: 2:?: 2 :.8: ~>1 2:.:1
<018 2:?: 2eW
<07> 2eI 2 4::
<071 2eI 2 4::
<077 ?:??
<077
<071 4 ti 4: ?:: ti 8,4:: ?:.?: 2>W
<071 <: ti <?: z :.?:
<071 2eI 24:: ? :.?4
<01? 2:.<1 2eII
22I.eI
?4: 584 2@:: 2::4 air NIANLW ibey
2:.4: <: ti 84 2?: 2:.:4
r:.4: 4?8 5 <,::: 2:.<> niba`hdbnd e ekets lpprilnf
2 : ?7 rdgrdss`ib lbleysts lpprilnf
2:4: <: ti8: 5<,iii 2?: 2 :.:77 air hry nikoust`ib
_dsdrvi`r Zdrairklbnd
Zdrairklbnd @bh`nltirs Nikkib ti Oitf ^tdlkaeiihs
lbh A`rdaeiihs. ^w ddp Daa`n`dbny. Xfd lrdl< lbh vdrt`-
nle swddp ia tfd stdlk aribt ir ourb`bg aribt fls pri-
biubndh `baeudbnd ib tfd dnibik `ns ia tfd stdlkaei ih ir
a`rdaeiih primdnts. ^ ikd rdpirtdh swddp daa`n`dbn`ds ia
tfd stdlkaeiih lbh a`rdaeiih primdnts lrd g`vdb `b Xloed
81.<:. 14-6<Wfdrdls tfd vieukdtr`n swddp ia stdlkaeiihs
vlr`ds arik ?8 ti 00 % , tflt ia a`rdaeiihs lppdlrs ti od
eiwdr, rlbg`bg arik <8 ti 1:%.
XLOED 81.<:-^WDDZ DAA@N@DBNP IA ^XDLKAEIIH
LBH A@_DAEIIH Z_IMDNX^
A`deh, Einlteib
(Ipdrltir)
^tdlkaeiihs
@bgedwiih, NL14
(Nfdvrib-^inle)
Cdrb _`vdr NL11,17
(Nfdvri3)
Cdrb _`vdr, NL16-7:
GdW)K`hwly ^ubsdt, NL‛ ‛
(Xdbbdni)
De Hirlhi, CL7>
(N`t`ds)
Hddra`deh, KI 78
(Dssi-Fukoed)
^nfiibdoddc,Xfd
Bdtfdrelbhs74
(Bdhdrelbhsd)
A`rdaeiihs
^iutf Oder`hgd, NL71
(Gdbdrle Zdtrieduk)
W`tf`b Zlttdrb Lrdl
(?.74 lnrds)
W`tf`b Xitle Ourbdh Lrdl
(7.0: lnrds)
^eiss, BD‛-‛
(Lkini)
^iutf Icelfikl‛(Klgbie`l)
^flbbib Ziie, WP‛
(Zlb Lkdr`nlbeNlspdr)
Lrdle Qdrt`nle Qieukdtr`n
1:.: 4:.: >:.:
- - 6:.:
- <::.: 1?.6 ti 06.6
-
-
64.:
-
- 1:.: ti 7:.:
- 54:.:
8:.: >8.:
- ?8.> ti 8<.0
<:: 40.1 40.1
<:: 4:.8 4:.8
4: ?6 <8
64 - ?1
8> <:: 8>
(21:: O@LA) (wdee spln`b gs8: lnrds )
5ei bi uppdr e`k`t air rdvdrsd nikoust`ib
584 5e.wl 2 :.:18 air wdt nikoust`ib
58: 2eI 2I.`I
I`e _dnivdry. Xloed 81.<< e`sts sikd ia tfd rdpirtdh
i`e rdnivdr`ds ia stdlkaeiih lbh a`rdaeiih primdnts. 6?-‖?<
Air tfd dst`klt`ib ia tfd i`e rdnivdry iotl`bloed `b l
stdlk `bmdnt ib primdnt, tfd lbleyt`nle kdtfi hs h`snussdh
prdv`iusey nlb od usdh. Ls stdlk `bmdnt`ib nibt`buds, tfd
tfdrkle daa`n`dbny w`ee grlhuleey h`k`b`sf lbh tfd `bstlb-
tlbdius ^I _ w`ee `bnrdlsd grlhuleey. Wfdb tf`s rlt`i
rdlnfd s l ndrtl`b e`k`t, aurtfdr `bmdnt ib ia stdlk w`ee od-
nik d ubdnibik`nle lbh bddhs ti od stippdh. Xfd nukuel-
t`vd i`e prihunt`ib lt tflt t`kd h`v`hdh oy tfd ir`g`ble i`e
`b pelnd (II@Z) w`ee g`vd tfd i`e rdnivdry.
Xfd i e rdnivdry arik l a`rdaeiih primdnt nlb od nlenu-
eltdh w`tf tfd rdnigb`t`ib tflt i`e prihunt`ib nik ds arikoitf tfd ourbdh lbh ubourbdh rdg`ibs (Bdesib lbh
KnBd`e <??), Edt Dvo dqule tfd vieukdtr`n swdd p daan`db-
ny ia tfd ourb`bg aribt lbh D_ u dqule tfd rdnivdry daa`-
n`dbny `b tfd ubourbdh rdg`ib. Xfd ivdrlee i`e rdnivdry `s=
2 ,o+(e-Dvo)D_u, . . . . . (1>)
wfd rd N ,,, `s tfd aude nibtdbt, @ok/nu at. @b tf`s dqult`ib,
tfd aude nibsukdh `s tlcdb ti od l @I‛LZ< i`e w`tf l hdb-
s`ty ia 1?.8 eok/nu at.
Xfd dqult`ib h dvdeipdh oy ^ltklb dt le ‖?> nlb od
usdh ti nlenueltd tfd i e rdnivdry arik l hry nikoust`ibprimdnt.
P;87.: :.8?7^, -I.I:<>4f-?.<01 - - 2:.?4
<,
ZI
wfdrd
..YY,.....,.......... ,....... (18)
P; rbZ +vaox<:: . . . . . .B
x;`&i?
SB,,(~^,)e(e -h) . . . . . . . .
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XFD_KLE _DNIQD_P
XLOED 81.<< -I@E _DNIQD_P IA ^XDLKAEIIH
LBH A@_DAEIIH Z_IMDNX^
A`deh, Einlt`ib (Ipdrltir)
^tdlkaeiihs^klncivdr, L_ (Zf`ee`ps)d?~6>
Cdrb _`vdr, NL (Nfdvrib`l8
Cdrb _`vdr, NL (Gdtty)16 ‐
K`hwly ^ubsdt, NL (NWI H)64
Kiubt Zisi. NL (^fdee)*―~67
^lb Lrhi, NL (Xdxlni)‛
^einuk, XV (^fd<<)60~>:
W`bcedklb Hikd, WP (Lkini)g‐ ‛
Xtl Mulbl Dstds, Qdbdzudel (Klrlvdb)g>-g4
A`rdaeiihs
Ordl-Ie`bhl, NL (Tb`ib)\1,07
K`hwly ^ubsdt, NL (Kio`e)gO
K`hwly ^ubsdt, NL (NWI H)00
^iutf Oder`hgd, NL (Gdbdrle Zdtrieduk)71
^iutf Oder`hgd, NL (Kio`e)‖::
_io`bsib , @E (Klrltfib)‖ :‐~‖:1
Odeedvud. EL (N`t`ds) ei7 ei6
Odeedvud, EL (Gdtty)‖:0~―*
Kly E`ooy, EL (^ub)―>
Fd`hdeodrg, K^ (G$~<8~―4
^eiss, BD (Lkini)
Gedb Fukkde, XV U^ub)―1,―7
Geir`lbl, XV (^ub) e1 ―‐
Birtf X`shled. WP (Nibt bdbtle)―g
^upelnu hd Olrnlu, _iklb`l (@AZ@@NZZG)‖zi
K`gl, Qdbdzudel (Guea)―‐
Xfdrkle I`e
_dnivdry
(\/i II@Z)
?4.7‐
10.0*
81.1 ti 7?.1
1>.:*
>8.1‐
87.4, 4<.?
44.6*
?6.< *
?1.>‐
?4.<.
?:.:
4?.6
41.7
<8.4
><.0
8<.4‐
88.1*
16.:
??.8‐
<8.>
>< .i
?0.7
?>.:
87.4
<<.1
@b tfd loivd dqult`ib,
LB p ; nukuelt`vd `bnrdkdbtle i`e prihunt`ib, ooe,
Qd ; aude ourbdh, ooe,
B ; II@Z, ooe,
elr ; nukuelt`vd l`r `bmdnt`ib, ei> sna,
D\? ; ixygdb ut`e`zlt`ib daa`n`dbny, arlnt`ib, lbh
BQ ; i`e `b pelnd l t stlrt ia primdnt, ooe.
Gltds lbh _lkdy <?8 hdvdeipdh l nirrdelt`ib odtwddb
i`e rdnivdry lbh ZQ ourbdh lt vlr`ius `b`t le gls slturl-
t`ib, ib tfd ols`s ia a`deh hltl tlcdb arik tfd ^iutf Ode-
r`hgd t`rdaeiih primdnt 71 lbh eloirltiry nikoust`ib-tuod
hltl. Xf`s nirrdelt`ib, sfiwb `b A`g. 81.<:, sfiueh od
usdaue `b prdh`nt`bg nurrdbt i`e rdnivdry ls tfd a`rdaeiih
prinddhs.
Nflbgds `b I`e Zripdrty. Lt tfd tdkpdrlturds lbh prds-
surds prdvl`e`bg `b stdlkaeii hs, bi nflbgds `b tfd i e prip-
drty lrd dxpdntdh ti innur odnlusd ia lby nfdk`nle
rdlnt`ibs. Fiwdvdr, tfd pripdrt`ds ia tfd rdnivdrdh i`e
niueh flvd oddb nflbgdh ls l rdsuet ia stdlk h`st`eelt`ib.
@b a`rdaeiihs, ia niursd, i`e pripdrt`ds nflbgd nibs`hdrl-
oey odnlusd i a tfdrkle nrlnc`bg lbh nikoust`ib, ls wdee
ls stdlk h`st eelt`ib. Nflbg ds `b i`e pripdrty `b sikd ia
tfd rdpirtdh stdlkaeiihs lbh a`rdaeiihs lrd sfiwb `b Xl-
oed 81.<?. <?4~‖>:
Zdrairklbnd @bh`nltir Zdrtl`b`bg ti ^tdlkaeiihs
Ibey. ^tdlk I`e _lt`i ^I_). Xfd ^I_, A,, , `s tfd kist`kpirtlbt alntir nflrlntdr`z`bg tfd sunndss ir al`eurd ia
l stdlkaeiih primdnt. @ts rdn`prinle, tfd I^_, A,,v, lesi
`s usdh nikki bey. @b primdnts wfdr d i`e `s usdh ls aude
81-<4
QIETKD 6T_BDH %
A`g. 81.<:-Dst`kltdh i`e rdnivdry vs. vieukd ourbdh.
air stdlk gdbdrlt`ib, < ooe ia i`e birkleey nlb gdbdrltd
<> ti <8 ooe (nieh-w ltdr dqu`vledbt) ia stdlk. Xfus, tfd
f`gfdst ^I _ tflt `s tiedrloed w`tfiut ourb`bg kird i`e
tflb tflt prihundh `s <> ti <8. Air stdlkaeiih ipdrlt`ib,
tfdrd lrd itfdr nists tflb aude leibd. Odnlusd ia tf`s, stdlk
`bmdnt ib `s birkleey tdrk`bltdh wfdb tfd `bstlbtlbdius
^I_ rdlnfds tfd edvde ia d`gft ir si. @hdleey tfd ivdrlee
^I_ sfiueh od lriubh aiur. Xf`s nirrdspibhs ti > ti 8
ooe ia i`e prihu ndh pdr olrrde i a i`e ourbdh. <>‐ Xf`s `hdle
nlsd `s, ubairtubltdey, bit birkleey l nf`dvloed. Xfd ^I_ia tfd klmir`ty ia tfd stdlkaeiih a`deh primdnts alees `bti
tfd rlbgd ia 4 ti 7.
Xfd aieeiw`bg sdt ia rdgrdss`ib dqult`ibs h dvdeipdh oy
Nfu1? nlb od usdh ti dst`kltd tfd ^I_ w`tf cbiwb rdsdr-
vi`r lbh nruhd pripdrt`ds.
<. Air A,24.: (A,, 5:.?:),
A,,;e/(-:.:<<?4>+:.::::?770:+:.:::<470f
+:.4 <?I$^,). . . . . . . . . . . . . . . . . . (17)
?. Air A,, ~4.: (A,, ?:.?:),
A,,;<6.788+:.::<84>:-I.I4:66f-:.:::6688c
-:.:::40<4~, - <8.70^, -I.I::?0>6cfe/~~, . (16)
wfdrd
H ; hdptf, at,
f ; rdsdrvi`r tf`ncbdss, at,
6 ; h`p lbged, hdgrdds,
NE:; i`e v`snis`ty, np,
c ; pdrkdlo`e`ty, kh, lbh
^, ; i e slturlt`ib lt stlrt, arlnt`ib.
Lbitfdr kdtfih ia dst`klt`bg A,v, fls oddb g`vdb oy
Kyf`ee lbh ^tdgdkd`dr, ?0 olsdh ib tfd K lbhe-Qiedckihde.
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81-e 1 ZDX_IEDTK DBG@BDD_@BG FLBHOIIC
XLOED 81.<?-NFLBGD^ @B I@E Z_IZD_X P @B ^XDLKAEIIH
LBH A@_DAEIIH Z_IMDNX^
Q`snis`tv
A`deh, Einlt`ib
(Ipdrltir)
^tdlkaeiih
―LZ@Xdkpdrlturd (np) ‐
Odaird Latdr ZA) Odaird Latdr
Ordl, NL ‖]
(^fdee)*
?>.4 ?4.0
A`rdaeiih
^iutf Oder`hgd, NL71
(Gdbdrle Zdtrieduk)
Wdst Bdwpirt, GLez1 ―‐
(Gdbdrle Nruhd)
<?.0 <8.? :7 ?,7:: 6::
<?: 48: ?::
<1: <?: 48
<4.? ?:.: 1: 8,464 ?10
<:: 777 7<
Dlst Qdbdzudel‛‐
(Kdbd Grlbhd)
?<: >? @I
0.4 <?.?
tfdb <:.4
Cyrinc, CP ―‐(Guea)
<:.8
^iutf Icelfiklsi
(Klgbie`l)
<4.8
<8.4
?:.8
Lspflet _`hgd, TX<>‐
(T.^. HID)* *
<8.? ?:.>
‖Nflbgds @‛ :‐: N ~ -N ,* odaird-?< latdr-?6
―Nflbgds `b itfdr pripdra,ds
Odaird Latdr
Ziur pi`bt. IA <8: ?4
_ds`hud oieeebg loivd 1? >4
< IIIIA,wa%
Zdrairklbnd @bh`nltirs Zdrtl`b`bg ti A`rdaeiihs Ibey.
Aude Nibtdbt. Aude nibtdbt (eok/nu at ia ourbdh vi eukd)
`s tfd lkiubt ia nicd lvl`eloed air nikoust`ib tflt `s
hdpis`tdh ib tfd rinc ls l rdsuet i a h`st`eelt`ib lbh tfdr-
kle nrlnc`bg. @t `s tfd kist `kpirtlbt alntir `baeudbn`bg
tfd sunndss ia l a`rdaeiih primdnt. @a tfd aude nibtdbt `s
tii eiw, nikoust`ib nlbbit od sdea-sustl`bdh. L f`gf aude
nibtdbt, f iwdv dr, kdlbs f`gf l`r rdqu`rdkdbt lbh piw-
dr nist. Ods`hds, i`e prihunt`ib lesi kly suaadr.
wfdrd N , `s tfd aude nibtdbt, eok/nu at.
Oitf eloirltiry dxpdr`kdbts lbh a`deh primdnts `bh`nltd
tflt, air l spdn`a`n rdsdrvi`r, aude nibtdbt h dnrdlsds ls
WL_ `bnrdlsds. Fiw dvdr, bi stlt`st`nleey s`gb`a`nlbt
nirrdelt`ib wls aiubh ti dx`st odtwddb aude nibtdbt lbh
WL_ `b tfd prdsdbnd ia w`hdey vlry`bg rdsdrvi`r prip-
drt`ds . 1>
Aude nibtdbt nlb od hdtdrk`bdh oy eloirltiry tuod rubs.
Gltds lbh _lkdy ‖? 8 prdsdbtdh l nikplr`sib ia tfd dst`-
kltdh aude nibtdbt oy usd ia vlr`ius kdtfi hs `bneuh`bg
eloirltiry dxpdr`kdbts lbh a`deh primdnt hltl arik tfd^iutf Oder`hgd primdnt. 71 Xfd`r nikplr`sib sfiws tflt
aude nibtdbt h dtdrk`bdh arik tfd tuod rubs nlb priv`hd
rdlsibloey giih dst`klt`ib ia tfd aude nibtdbt iotl`bl-
oed `b tfd a`deh.
L`r _dqu`rdkdbt. Ls pi`btdh iut oy Odbflk lbh Zidtt-
klbb, <>?l`r rdqu`rdkdbt, l, `b ei1 sna/lnrd-at ia ourbdh
vieukd, nlb od nlenueltdh ib tfd ols`s ia sti`nf`ikdtr`n
nibs`hdrlt`ibs=
(
?Ann+e +AFN- ntb
2l;
ANN+< ?x:.:8>41, . . 7:)
:.::<<:0 <?+A~~)~~~
@b tfd losdbnd ia dxpdr`kdbtle hltl, tfd nirrdelt`ib ia
^fiw letdr rdelt`bg tfd aude nibtdbt ti LZ@ grlv`ty nlb
od usdh. A`g. 81.<< sfiws l nikplr`sib ia tfd ^fiwletdr
hltl lbh a`deh primdnt hltl. 1> @b lhh`t`ib, tfd aieeiw`bg
rdgrdss`ib dqult`ib hdvdeipdh oy Nfu1* olsdh ib hltl
arik <7 a`deh primdnts nlb od usdh ti nlenueltd tfd aude
nibtdbt=
N, ; -:.<?+:.::?1?f+:.:::< <8c+?.?>^:
+:.:::?8?cf/p, -:.:::<60:-:.::::14?,u:,
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10)
wfdrd A, `s tfd NI?/N I rlt`i `b prihundh gls lbh AFN
`s tfd ltik`n F/N rlt`i. @b tfd losdbnd ia bdndsslry hltl
air Dq. 7:, tfd ^fiw letdr nirrdelt`ib8> rdelt`bg l`r rd-
qu`rdkdbt ti LZ@ grlv`ty nlb od usdh. L nikplr`sib ia
tfd ^fiw letdr hltl lbh a`deh primdnt hltl `s g`vdb `b A`g.
81.<? . 1 > @t nlb od sddb tflt lee tfd a`deh pi`bts alee ib tfd
uppdr s`hd ia tfd ^fiwletdr nurvd. L`r rdqu`rdkdbt `b tfd
a`dehs nlb dxndd h eloirltiry vleuds odnlusd ia l`r nflb-
bde`bg lbh k`grlt`ib. @b lhh`t`ib, tfd aieeiw`bg rdgrds-
s`ib dqult`ib hdvdeipdh oy Nfu1> nlb od usdh=
l;8.7?+:.:>141f+0.001^>,+:.:::10<c . . 7<)
1:?<:
11
0:,::: ?,:::<?: ?7
4,::: 6::
latdr l kibtf
4,:::
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XFD_KLE _DNIQD_P 81-<7
. ELOI_LXI_P XD^X
HLXL OP ^FIWLEXD_
e A@DEH Z_IMDNX HLXL
..
.
KN
i: ?: >: 8:
A`g. 81.<<-Daadnt ia i`e grlv`ty ib aude nibtdbt.
L`r-I`e _lt`i LI_). Xf`s `kpirtlbt rlt`i rdeltds l`r
`bmdnt ib ti i`e prihunt`ib lbh usuleey `s dxprd ssdh `b
tdrks ia ei> sna/ooe. I`e rdnivdry nikd s arik oitf tfd
ourbdh lbh ubourbdh rdg`ibs. Xfd LI_ nlb od nlenuelt-
dh tfus @**
Ak ;
l
. . . . . . . . . . . . . . . . . . . . . . . . (7?)
@b tfd losdbnd ia Dvo lbh D_,, , tfd aieeiw`bg rdgrdss`ib
dqult`ib hdvdeipdh oy Nfu1* olsdh ib <7 a`deh primdnts
nlb od usdh.
A,, ;?<.84+:.:???f+:.::<:14c
+:.::?184~, -71.71go^,. . . . . . (7>)
Ods`hds, tfd nirrdelt`ib odtwddb i`e rdnivdry lbh ZQ
ourbdh hdvdeipdh oy Gltds lbh _lk dy <?8 nlb od usdh
air dst`klt`bg tfd nurrdbt LI_ ls tfd a`rdaeiih prind dhs.
Oitf eloirltiry dxpdr`kdbts lbh a`deh primdnts `bh`nltd
tflt, air l spdn`a`n rdsdrvi`r, LI_ hdnrd lsds ls WL_ `b-
nrdlsds. Bi stlt`st`nleey s`gb`a`nlbt nirrdelt`ib, fiwd vdr,
fls oddb aiubh odtwddb LI_ lbh WL_ `b tfd prdsdbnd
ia w`hdey vlry`bg rdsdrvi`r pripdrt`ds. 1>
Zrimdnt Hds`gb
Hds`gb Adlturds Nik kib ti Oitf ^tdlkaeiihs
lbh A`rdaeiihs
Zlttdrb ^dednt`ib. Air lby i`e rdnivdry prindss w`tf aeu`h
`bmdnt`ib, l nlrh`ble rued ia plttdrb sdednt`ib `s tflt, ti
lnf`dvd l olelbnd odtw ddb aeu`h `bmdnt`ib lbh prihunt`ib,
?4@ / @ @
. ELOI_LXI_P XD^X HLXLOP ^FIWLEXD_
I-. A@DEH Z_IMDNX HLXL
A`g. 81.<?-Daadnt ia i`e grlv`ty ib l`r rdqu`rdkdbt.
tfd rlt`i ia tfd bukodr ia prihun drs ti tfd bukodr ia `b-
mdntirs sfiueh od dqule ti tfd rlt`i ia wdee `bmdnt v`ty ti
wdee prihunt`v`ty (Nluhed dt le. <>>). Odnlusd ia tfd f`gf
kio`e`ty ia l`r ir stdlk n ikp lrdh ti tflt ia tfd i`e, tfd
`bmdnt`v`tyeprihunt`v`ty rlt`i `s f`gf, alvir`bg l f`gf
prihundr/`bmdntir rlt`i. Xf`s rued gdbdrleey fls oddb aie-
eiwdh oy tfd vlr`ius rdpirtdh stdlkaeiih lbh a`rdaeiih
primdnts. Xfd usd ia `bvdrtdh <>-spit, 0-spit, 7-sp it, lbh
1-spit plttdrbs, ubniba`bdh a`vd-spit plttdrbs, hiw b-tfd-
ndbtdr e`bd ia `bmdntirs, lbh s`bged wdee `bmdnt`ib fls oddb
rdpirtdh.
Ls`hd arik tfd `bmdnt`v`ty/prihunt`v`ty rlt`is, itfdr aln-
tirs lesi sfiueh dbtdr `bti nibs`hdrlt`ib `b plttdrb sdedn-
t`ib. Xfdsd alnti rs `bneuhd= fdlt eiss nibs`hdrlt`ibs,
ut`e`zlt ib ia dx`st`bg wd ees, rdsdrvi`r h`p, h`aa nuety `b
prihun`bg fit wdees, dtn. Olsdh ib tfdsd lbh itfdr nib-
s`hdrlt`ibs, rdpdltd h a`vd-spit plttdrbs, uph `p lbh nrdst
`bmdnt`ibs lbh e bd hr`vd lesi wdrd usdh. Xfd nfi`nd ia
plttdrb ir bibplttdrb aeiihs `b tfd vlr`ius stdlkaeiih lbh
a`rdaeiih primdnts `s sfiwb `b Xloed 81.< >. ‖>8-<>6
Nikpedt`ib @btdrvles. @b kist ia tfd stdlkaeiih lbh a`rd-
aeiih primdnts, tfd prihun drs usuleey lrd nikp edtdh airtfd dbt`rd slbh `btdrvle ti klx`k`zd prihunt`ib. Xfd `b-
mdntirs usuleey lrd nikpedtdh lt tfd eiwdr tf`rh ir eiwdr
flea ia tfd `btdrvle, ti k`b`k`zd tfd ivdrr`hd ia tfd stdlk
ir l`r. @b wdt nikoust`ib primdnts, `t `s lhv`sloed ti nik-
pedtd tfd eiwdr plrt air l`r `bmdnt`ib lbh uppdr p lrt air
wltdr `bmdnt`ib. Xf`s `s ti k`b`k`zd tfd ubhdraeiw ia wltdr
ls wdee.
Zrihundr Oittikfied Zrdssurd OFZ). @b tfd`r stuhy
air l stdlkaeiih, Gikll dt le. <>0 aiubh tflt hdnrdls`bg
tfd prihundr OFZ eiwdrs tfd lvdrlgd rdsdrvi`r prdssurd,
`bnrdlsds stdlk vieukd, lbh `bnrdlsds prdh`ntdh i`e rdniv-
dry. @t `s, tfdrdaird, `kpirtlbt ti cddp tfd prihun drspukp dh iaa lee tfd t`kd. W `tfiut lby rdlsib ti ode`dvd
itfdrw`sd, cddp`bg tfd prihundrs pukpdh iaa sfiueh
odbda`t l a`rdaeiih ls wdee ls l stdlkaeiih.
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81-<0 ZDX_IEDTK DBG@BDD_@BG FLBHOIIC
XLOED 81.<>-ZLXXD_B XPZD^ IA ^XDLKAEIIH^ LBH A@_DAEIIH^
Zlttdrb Xypds
@bvdrtdh <>-spit
@bvdrtdh g-spit
@bvdrtdh 7-spit
Tbniba`bdh
`bvdrtdh 4-spit
Hiwb-tfd-ndbtdr-e`bd
ia `bmdntirs
^`bged wdee `bmdnt`ib
_dpdltdh 4-spit
Tph`p ir nrdst
`bmdnt`ib
Hiwbh`p `bmdnt`ib
Tph`p lbh hiwbh`p
`bmdnt`ib
E`bd hr`vd
^tdlkaeiihs
^einuk, XV6g,0>
(^fdee)
^lb Lrhi, NL6*
(Xdxlni)
Pirol E`bhl, NL‛
(^fdee)
Cdrb _`vdr, NLK
(Nfdvrib)
^einuk, XVk.‛
X` 9` rl, Qdbdzudel‐>4
(^fdee)
Dlst Nile`bgl. NL‐>7
Cd9%dr. NLl8
(Nfdvrib)
Cdrb _`vdr. NL‛67:
(GdWW`bcedklb Hikd, WP ―.‛
(Zlb Lkdr`nlb)
Ordl, NL`z4
(^fdee)K`hwly ^ubsdt, NL7‐.7?
(Xdbbdni)
^iutf ^der`hgd, NL`>‐
(Kio`e)
Kiubt Zisi. NL6‛.67
(^fdee)
Hds`gb Adlturds Zdrtl`b`bg ti ^tdlkaeiihs Ibey
tdlk@bmdnt`ib _ltd. Lnnirh`bg ti Nfu lbh Xr`k-
oed, @8: tfd ipt`kle nfi`nd ia l nibstlbt stdlk `bmdnt ib
rltd `s rdelt`vdey `bhdpdbhdbt ia slbh tf`ncbdss. Ls slbh
tf`ncbdss hdnrdlsd s, tfd title i e nibtdbt `b tfd rdsdrvi`r
hdnrdls ds. Xf`s nlees air l eiwdr stdl k rltd. Lt tfd slkd
t`kd, l f`gfdr stdlk rltd `s bddhdh ti nikpdbsltd air tfd
`bnrdlsdh pdrndbtlg d fdlt eiss w`tf l hdnrdls d `b tf`nc-
bdss. Xfdsd twi niubtdrlnt`bg alntirs rdsuet `b ibey l sklee
vlr`lt`ib `b tfd ipt`kle stdlk rltd ls tf`ncbdss `s nflbgdh
arik 0: ti >: at.
Xfd slkd stuhy w`tf a`vd-spit plttdrbs sfiws tflt tfd
ipt`kle nfi`nd i a l nibstlbt stdlk rltd `s pripirt`ible
ti tfd plttdrb s`zd. Aurtfdrkird, vlry`bg stdlk rltds lp-pdlr ti od prdadrloed ti nibstlbt stdlk rltds. Lb ipt`kle
stdlk rltd snfdhued nlees air l f`gf stdlk rltd `b tfd `b`-
t`le stlgd lbh l hdnrdlsd `b tfd stdlk rltd w`tf t`kd.
A`rdaeiihs
^deedvud, EL‐:7.‖:6
(N`t`ds ^drv`nd)
^deedvud, EL‐:g~―?
Wty)
^`evdrhl ed, Letl. ‖>8
(Gdbdrle Nruhd)
Wdst Bdwpirt, N L‐?1.‖?7
(Gdbdrle Nruhd)
Xr`x-E`z, XV‛1~‖>1
Gt sa9~)ukkde, XV‛1,―7
(^ub)
K`gl, Qdbdzudel‐*‐
(Guea)
^eiss, BD77-70
(Lkini)
K`hwly ^ubsdt, NL‛
(Kio`e)Fd`hdeodrg, K^‛8,<‐4
(Guea)
^upelnu hd ^lrnlu,
_iklb`l (@ZA/@NZZG)‖?:
^tdlk \ule`ty. ^tdlk qule`ty rdadrs ti tfd klss arlnt`ib
ia wltdr dx`st`bg `b vlpir airk. Gikll dt le. ‖>0 rdpirtdh
tflt `bnrdls`bg stdlk qule`ty `bnrdlsds i`e rdnivdry vs.
t`kd out flh e`tted daadnt ib rdnivdry vs. Otu‐s `bmdntdh.
Xf`s `bh`nltds tfl t fdlt `bmdnt`ib `s tfd `kpirtlbt plrlk-
dtdr `b hdtdrk`b`bg stdlkaeiih pdrairklbn d.
Must ls w`tf stdlk `bmdnt`ib rltds, tfd ipt`kle nfi `nd
ia stdlk qule`ty sfiueh od stuh`dh. F`gf-qule`ty stdlk
niueh nlusd dxndss`vd stdlk ivdrr`hd. Xf`s kly od rdkd-
h`dh oy us`bg eiwdr-qule`ty stdlk lt ibd stlgd ia l
stdlkaeiih.
Hds`gb Adlturds Zdrtl`b`bg ti A`rdaeiih Ibey
Hry vs. Wdt Nikoust`ib. Xfd nfi`nd odtwddb hry nik-oust`ib lbh wdt nikoust`ib `s lb `kpirtlbt hdn`s`ib ti
od klhd `b nibhunt`bg l a`deh primdnt. Eloirlti ry dxpdr`-
kdbts `bh`nltdh tflt tfd usd ia wltdr d`tfdr s`kuetlbdiusey
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XFD_KLE _DNIQD_P 81-<0
ir letdrbltdey w`tf l`r hids rdhund tfd LI_, letfiugf tfd
i`e rdnivdry kly bit od `kprivdh s`gb`a`nlbtey. Ls wls
kdbt`ibdh prdv`iusey, l nirrdelt`ib odtwddb LI _ lbh
WL_, olsdh ib hltl arik ?< a`deh primdnts, wls aiubh
ti od stlt`st`nleey `bs`gb`a nlbt `b tfd prdsdbnd ia w`hdey
vlry`bg rdsdrvi`r pripdrt`ds. 1>
N`t`ds ^drv`nd nibhuntdh l a`deh nikplr`sib tdst ia hry
lbh wd t nikoust`ib `b tfd Odeedvud a`deh, EL , <8‐ `b
wf`nf piss`oed `btdradrdbnd oy vlr`lt`ibs `b rdsdrvi`r
pripdrt`ds wls dssdbt`leey n`rnukvdbtdh oy us`bg twi nib-
t`guius plttdrbs, ibd w`tf hry nikoust`ib lbh lbitfdr
w`tf wdt nikoust`ib. Xf`s tdst aiubh tflt, w`tf wdt nik-
oust`ib, tfd vieukdtr`n swddp wls `kprivdh ti l grdlt
dxtdbt. Xf`s `bh`rdntey `kpe`ds lb `bnrdlsd `b i`e rdniv-
dry. Aurtfdrkird, tfd l`r rdqu`rdkdbt air l spdn`a`n
vieukd ia rdsdrvi`r wls rdhundh . X f`s rdhundh tfd ipdr-
lt`bg nist lbh `kprivdh tfd dnibik`ns. Odnlusd ia tfdsd
dbniurlg`bg rdsuets, tfd piss`oed lhvlb tlgds ia us`bg wdt
nikoust`ib sfiueh od dxpeirdh .
L`r @bmdnt`ib _ltd. Lnnirh`bg ti Bdesib lbh KnBd`e, ‖??
tfd l`r `bmdnt`ib rltd hdpdbhs ib tfd hds`rdh rltd ia lh-
vlbnd ia tfd ourb`bg aribt. L slt`salntiry ourb`bg rltd
wls stltdh ti od :.<?4 ti :.4 at/H. @b tfd hds`gb kdtfih
prip isdh oy tfdsd lutfirs, l klx`kuk l`r rltd `s a`rst
hdtdrk`bdh, olsdh ib tfd k`b`kuk ourb`bg rltd ia :.<?4
at/H. Xfdy rdnikkdbhdh l t`kd snfdhued sunf tflt tfd
l`r rltd wiueh o d `bnrdlsdh grlhuleey ti tfd klx`kuk
rltd, fdeh lt tf`s rltd air l hda`b`td pdr`ih, lbh tfdb rd-
hundh grlhuleey ti zdri. Xfd K`hwly ^ubsdt, NL, prim-
dnt ia Nflbseir-Wd stdrb00 usdh l ourb`bg rltd ia < `b./H
(:.:6 at/H). Gltds lbh _lk dy ‖?8 aiubh tflt tfd l`r rltd
sfiueh p riv`hd l k`b`kuk rltd ia ourb`bg aribt lhvlbndia :.<4 at/H ir lb l`r aeux ia lt edlst ?.<4 sna`fr-sq at lttfd ourb`bg aribt.
WL_. Xfd rdpirtdh WL_ `b vlr`ius a`deh primdnts rlbgdh
arik : (air hry nikoust`ib) ti ?.6 ooe/<:> sna. Xfd
nfi`nd ia WL_ hdp dbhs ib wltdr lvl`elo`e ty, qule`ty ia
tfd wltdr lvl`eloed, wdee `bmdnt`v`ty, lbh dnibik`n nib-
s`hdrlt`ibs. Nikoust`ib tuod dxpdr`kdbts, pripdrey hd-
s`gbdh lbh dxdnutdh, sfiueh od fdepaue.
Wdee Nikpedt`ib
^pdn`le wdee nikpedt`ibs lrd bddhdh ai r `bmdntirs lbhprihu ndrs ti w`tfstlbh tfd f`gf tdkpdrltu rds `b stdlk-
aeiihs, lbh ti w`tfstlbh tf d nirris`vd dbv`ribkdbt ls wdee
`b a`rdaeiihs.
Lnnirh`bg ti Gltds lbh F iekds, <8* wdees usdh `bstdlk ipdrlt`ibs sfiueh od nikpedtdh w`tf hud nibs`h-
drlt`ib ia fdlt eiss w`tf tfdrkle strdssds. @b hddp wdees,
tuouelr giih s w`tf f`gf qule`t`ds, sunf ls tfd birkle`zdh
lbh tdkpdrd h Z-<:4 tuo`bg lbh Z-<<: nls`bg, sfiueh od
usdh `a tfd tuo`bg lbh nls`bg lrd bit ardd ti dxplbh. Xfdr-
kle strdss nlb od k`b`k`zdh oy tfd pripdr usd ia dxplb-
s`ib mi`bts. Xfdrkle plncd rs sfiueh od usdh ib stdlk
`bmdnt`ib wdees lbh hddp wdees ubhdrgi`bg nyne`n stdlk-
`bg. Xfd ndkdbt sf iueh `bneuhd l tfdrkle strdbgtf stlo`e`z-
`bg lgdbt, lb `bsuelt bg lhh`t`vd lbh l oiubh`bg lhh`t`vd.Air a`rdaeiihs, Gltds lbh Fiekds‐8 ? adet tflt stdde
nls`bg lbh tuo`bg sunf ls M-44 `s su`tloed air `bmdntirs.
Xfdsd wdees nlb od nikpedtdh w`tf birkle Zirtelbh nd-
kdbt, w`tf f`gf-tdkpdrlturd ndkdbt pelndh ippis`td lbh
loiut <:: at loivd tfd ply zibd. Xfd f`gf-tdkpdrlturd
ndkdbt rdni kkd bhdh air tfd `bmdntirs `s nlen`uk
leuk`bltd ndkdbt (w`tf ir w`tfiut s`e`nl aeiur), pizzielb
ndkdbt, ir LZ@ Nelss G ndkdbt (w`tf >:% s`e`nl aeiur).
@a spibtlbdius `gb`t`ib innurs, tfd usd ia ndkdbtdh lbh
pdrairltd h e`bdrs `s rdqu`rdh ti prdvdbt wdee hlkl gd rd-
suet`bg arik ourbolnc `bti tfd oirdfied. Xfd prihu ndrs
sfiueh od nikp edtdh ti w`tfstlbh rdelt`vdey f`gf tdkpdr-
lturds lbh sdvdrd nirris`ib lbh lorls`ib. Xfdsd lutfirs
rdnikk dbhdh tfd usd ia grlvde-aeiw plnc , lbh stl`bedss
stdde ><1 air oitf e`bdr lbh tuo`bg ippis `td tfd ply zibd.
Xfd wdee nikpedt`ib kdtfi hs air `bmdntirs lbh
prihun drs `b tfd vlr`ius stdlkaeiih lbh a`rdaeiih prim-
dnts, hdtl`edh oy Nfu1‐,1> prdv`iusey, lrd g`vdb `b Xl-
oed 81.<8.
A`deh Aln`e`t`ds
^tdlkaeiih Aln`e`t`ds^tdlk Gdbdrlt`ib lbh @bmdnt`ib. Kist ia tfd stdlk `b-
mdnt`ib pri mdnts usd suralnd stdlk gdbdrltirs. Xfd klmir
h`aadrdbnd odtwddb i`ea`deh stdlk gdbdrltirs lbh `bhus-
tr`le kuet`tuod oi`edrs `s tfd lo e`ty ti prihu nd stdlk arik
sle`bd addhw ltdr w`tf k`b`kuk trdltkdbt. Itfdr adlturds
`bneuhd ublttdbhdh ipdrlt`ib, pirtlo`e`ty, w dltfdrp riia
nibstrunt`ib, lbh rdlhy lnndss`o`e ty air rdpl`rs. Xfd lo`e-
`ty ti usd l w`hd vlr`dty ia audes `bneuh`bg edlsd nruhd
`s lesi lb `kpirtlbt rdqu`rdkdbt. Xfd nlpln`ty ia stdlk
gdbdrltirs usdh `b stdlkaeiih primdnts usuleey rlbgds arik
<? ti 4: V ei1 Otu`fr, w`tf 4: x ei1 Otu`fr odnik`bg tfd
`bhustry stl bhlrh `b Nle`airb`l.
W`tf suralnd stdlk gdbdrltirs, tfd stdlk gids arik tfd
gdbdrltirs ti tfd `bmdnt`ib wdees tfriugf suralnd e`bds.
Ki st suralnd stdlk e`bds lrd `bsueltdh w`tf l stlbhlrh `b-
suelt`ib w`tf leuk`buk fius`bgs. Xfd stdlk `s spe`t `bti
`bh`v`hule `bmdntirs tfriugf l fdlhd r systdk us`bg nficds
ti rdlnf nr`t`nle aeiw. Xf`s prindhurd rdqu`rds tflt tfd
stdlk lnf`dvd sib`n vdein`ty, wf`nf, ubhdr ibd a`deh nib-
h`t`ib, 16 nlees air l prdssurd hrip ia loiut 44 % lnriss
tfd nficd. Xfd nficds lrd s`zdh ti dlnf itfdr ti g`vd tfd
hds`rdh aeiw rltd `bti dlnf `bmdntir. Ls eibg ls tfd prds-
surd h rip `s grdltdr tflb 44 V , tfd aeiw rltd w`ee od `b-
hdpdbhdbt ia tfd lntule wdeefdlh `bmdnt ib prdssurd.
L rdndbt hdvdeipkdbt `s tfd usd ia hiwbfied stdlk
gdbdrltirs ti de`k`bltd wdeeoird fdlt eissds `b hddp wdees.
Xfdrd lrd twi ols`n hds`gbs, wf`nf h`aadr ib tfd kdtfihia trlbsadrr`bg fdlt arik tfd fit nikoust`ib glsds ti
prihun d stdlk. ‖8> @b ibd hds`gb, tfd nikoust`ib gls
k`xds h`rdntey w`tf addh wltdr lbh tfd rdsuet`bg gls/stdlk
k`xturd `s `bmdntdh `bti tfd rdsdrvi`r. Odnlu sd ia tf`s, tfd
nikoust`ib prindss tl cds pelnd lt tfd `bmdnt`ib prdssurd.
@b lbitfdr hds`gb, tfdrd `s bi h`rdnt nibtlnt odtwddb tfd
nikoust`ib gls lbh wltdr, must ls `b tfd suralnd gdbdrl-
tirs. Xfd nikoust`ib gls rdturbs ti tfd suralnd ti od
rdedlsdh latdr g`v`bg up kunf i a tfd fdlt ti gdbdrltd
stdlk. L eiwdr prdssurd tflb `bmdnt`ib prdssurd nlb od
usdh `b tf`s nlsd.
^t`ee lbitfdr bdw hdvdeipk dbt `s nigdbdrlt`ib ia stdlk
lbh dedntr`n`ty. @88 Xfd daaeudbt g ls arik l nikou stir `s
usdh `b l gls turo`bd, wf`nf hr`vds lb dedntr`nle gdbdrl-tir. Xfd dxf lust gls arik tfd turo`bd `s tfdb usdh `b stdlk
gdbdrltirs ti prihund stdlk air tfdrkle rdnivdry
purpisds.
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81-?:
@bmdntirs
Nls`bg
Ipdbfied ir pdrairltdh
nikpedt`ibs
Grlvde plnckg
Xuo`bg
Zrihundrs
Nls`bg
Ipdbfied ir pdrairltdh
nikpedt`ibs
Ndkdbt
Grlvde plnc`bg
Xuo`bg
ZDX_IEDTK DBG@BDD_@BG FLBHOIIC
XLOED 81.<8-WDEE NIKZEDX @IB AI_ ^XDLKAEIIH^ LBH A@_DAEIIH^
^tdlkaeiihs
Grlhds= M-44, C-44, lbh B-6:
^`zds= 8%, 4%, 14/6, 7, lbh 0% `b.
Xdbs`ed prdstrdss`bg ia nls`bg `b hddp wdees
Oitf ipdbfied nikpedt`ibs w`tf seittdh ekdrs lbh
sie`h-str`bg nikpedt`ib w`tf mdt pdrairlt`ibs
flvd oddb rdpirtdh.
E`bdr s`zds= 8V, 4‐/?, ir 7 `b.
Zdrairlt`ibs= e/8 ir % @b., ibd ir twi pdr aiit, ir
ibd-flea pdr aiit
^ikd w`tf stlkedss stdde w`rd-wrlppdh snrddbs.
Nelss L, G, lbh F ndkdbt w`tf s`e`nl aeiur (>: ti
1:% ia hry ndkdbt).
Tsd bit prdvledbt
Xuo`bg `bsuelt`ibs usdh `b hddp wdees= lsodstis
w`tf nlen`uk s`e`nltd, peus leukkuk rlh`lt`ib
sfdeh3 ir mlncdtdh tuo`bg w`tf nlen`uk s`e`nltd.
Grlhd= C-44
^`zds= 8%, 4%, ^s/,, 7, lbh 64/6 `b.
Xdbs`ed prdstrdss`bg ia nls`bg `b hddp wdees
Oitf ipdbfied nikpedt`ib w`tf seittdh e`bdrs lbh
sie`h-str`bg nikpedt`ib w`tf mdt pdrairlt`ibs
flvd oddb rdpirtdh.
E`bdr s`zds= 8‐/?, 8V, ir 14/l `b.
^eit s`zds= 8:, 1:, ir 1:<<6: kds f
Zdrairlt`ibs= % `b., aiur pdr aiit
^ikd w`tf stlkedss stdde w`rd-wrlppdh snrddbs.
Nelss G lbh F ndkdbt w`tf s`e`nl aeiur (>: ti
1:% ia hry ndkdbt).
Tsd kird prdvledbt tflb `b `bmdntirsGrlvde s`zd= 1/0 kdsf aeiw-plncdh.
Xuo`bg air rih pukp.
Wltdr Xrdltkdbt. Xfd addhwltdr trdltkdbt air stdlk
gdbdrlt`ib nibs`sts kl`bey ia siatdb`bg, usuleey tfriugf
zdie`td `ib dxnflbgd. ^ikd addhwltdrs kly rdqu`rd a`etrl-
t`ib lbh hdldrlt`ib ti rdkivd `rib. ^t`ee itfdrs kly bddh
ti usd CN< air nibtrie ia nely swdee`bg lbh nfeir`bd ti
nikol t olntdr`l. Aln`e`t`ds air i`e rdkivle lesi w ee od
bddhdh `a tfd prihundh wltdr `s ti od rdusdh ls addhwltdrair stdlk gdbdrlt`ib.
A`rdaeiih Aln`e`t`ds
@gb`t`ib Hdv`nds. @b klby a`dehs, tf d rdsdrvi`r tdkpdrl-
turd `s si f`gf tflt spibtlbdius `gb`t`ib wiueh i nnur ibey
l adw hlys latdr stlrt`bg l`r `bmdnt`ib. @b sikd primdn ts,
stdlk, rdlnt`vd nruhd, ir itfdr audes w`ee od lhhdh ti fdep
`gb`t`ib.
Klby itfdr a`dehs bddh lrt`a`n`le `gb`t`ib hdv`nds, wf`nf
`bneuhd dedntr`nle fd ltdrs, g ls ourbdrs, lbh nltleyt`n `g-
b`t`ib systdks. Xfd vlr`ius `gb`t`ib k dtfihs, `bneuh`bg
dqu`pkdbt lbh ipdrlt`ible hltl, flvd oddb h`snussdh oy
^trlbgd. <84
L`r Nikprdssirs. Xfd l`r nik prdssirs nlb od gls db-
g`bd ir dedntr`nle kitir hr`vdb. Hdpdbh`bg ib tfd title
A`rdaeiihs
Grlhds= M-44 lbh C-44
^`zds= 8</z, 4%. 7, lbh 6% `b. lnriss tfd
ply zibd
Zdrairltdh nikpedt`ib kird prdvledbt tflb
ipdbfied nikpedt`ib w`tf ir w`tfiut e`bdrs.
E`bdr s`zds= >% ir 4% `b.
Zdrairlt`ibs= e/8 ir e / ? `b. (twi ir aiur pdr aiit)
Tsd ia f`gf-tdkpdrlturd ndkdbt prdvledbt
Tsd bit prdvledbt.
Xuo`bg usdh air l`r `bmdnt ib ir ls l tfdrkiwdee.
@b wdt nikoust`ib, vlr`ius wlys flvd oddb usdh
air `bmdnt`ib ia l`r lbh wltdr.
Grlhds= F-8:, M-44, lbh C-44
^`zds= 4</z, 7. 64/6, lbh 04/l `b.
Ipdbfied nikpedt`ib w`tf ir w`tfiut seittdh e`bdrs
lbh pdrairltdh nikpedt`ib lrd dquleey
prdvledbt.
E`bdr s`zds= 8%, 4‐<?, ir 14/6 `b.
^eit s`zds= 1:-kdsf. :.:4, :.:7, ir :.:6 `b.
Zdrairlt`ibs= Q? @b. (twi ir aiur pd r aiit)
Tsd ia f`gf-tdkpdrlturd ndkdbt wls rdpirtdh
Tsd kird prdvledbt tflb `b @bmdntirs.Grlvde s`zds= ?:/8: ir 1<0 kdsf, aeiw- ir
prdssurd-plncdh.
Xuo`bg air rih pukp, ti sdrvd ls l tfdrkiwdee. ir
air niie`bg wltdr `bmdnt`ib.
`bmdnt`ib rltd tfd nikp rdssir bddhs ti suppey lbh tfd iut-
put prdssurd bddhdh, tfd nlpln`ty ia tfd nikprdssirs nlb
rlbgd arik <.: ti ?:.:~ ei1 sna/H, lbh tfd piwdr rlt-
`bg nlb rlbgd arik >:: ti >,4:: fp.
Kib`tir`bg lbh Nir`bg Zrigrlks
Kib`tir`bg Zrigrlks
L tfdrkle rdnivdry primdnt niueh od l nikp edtd al`eurd
dnibik`nleey lbh st`ee od nibs`hdrdh l sunndss `a `t niueh
priv`hd usdaue `bairklt`ib ib tfd rdsdrvi`r pdrairklbn d
ubhdr stdlkaeii h ir a`rdaeiih. L pripdrey hds`gbdh
kib`tir`bg prigrlk nlrr`dh iut hur`bg tfd primdnt lbh
nir`bg prigrlk s hur`bg lbh latdr tfd primdnt lrd `kpir-
tlbt `b priv`h`bg tfd `bairklt`ib bdndsslry air dvleult-
`bg stdlkaeiih ir a`rdaeiih pdrairklbnd.
Xfd ^lkped, Nibtrie, lbh Lelrk Bdtwi rc (^NLB) lu-
tiklt`ib systdk `bstleedh oy Gdtty `b tfd Cdrb _ `vdr
a`deh ‖81 `eeustrltds fiw l elrgd stdlk `bmdnt`ib ipdrlt`ib
nlb od kib`tirdh. Xf`s systdk nibs`sts ia l hdvitd h ndb-
trle nikputdr tflt kib`tirs 01 a`deh s`tds. Lt tfdsd s`tds,tfd prihunt`ib rltds ia kird tflb ?,1:: prihundrs lbh
tfd ipdrlt`bg rltds ia <?0 stdlk gdbdrltirs lrd gltfdrdh.
Xfd ^NLB idrairks sdvdrle aubnt`ibs.
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XFD_KLE _DNIQD_P 81-?<
<. @t lutiklt`nleey snfdhueds lbh nibtries wdee prihun-
t`ib tdsts lt dlnf s`td.
?. @t kib`tirs rdsuets ia wdee prihunt`ib tdsts, stdlk
gdbdrltir ipdrlt`bg rltds, aeiw stltus, lbh `bmdnt`ib stl-
tus ia prihun drs, vlevd pis`t`ibs hur`bg wdee tdsts, lbh
vlr`ius stltus nibtlnt nfdncs.>. @t siubhs tf d lelrk upib lby k leaubnt`ib`bg lt l a`deh
s`td ir l stdlk gdbdrltir.
8. @t rdpirts bdndsslry ipdrlt`bg `bairklt`ib riut`bdey
ib l hl`ey, wddcey, ir kibtfey ols`s, lbh itfdr spdn`le
rdpirts ib hdklbh arik tfd ipdrltir.
Xfd ^`evdrhled, Letl., a`rdaeiih primdnt i a Gdbdrl<
Nruhd ‖>8 lesi usds lb lutiklt`n hltl nieednt ib systdk.
H`aadrdbt`le prdssurd trlbshundrs, tfdrkiniuped-lkpe`a`dr
trlbshundrs, prdssurd trlbshundrs, lbh kitir eilh trlbs-
hundrs lrd usdh ti kdlsurd lbh rdnirh hltl lt dlnf wdee.
Xfdsd hltl lrd trlbsk`ttdh ti l ndbtrle systdk, wf`nf nlb
od `btdrrigltdh lbh nlb `bh`nltd lby lelrk s`tult`ib wfdb
prdssurds, tdkpdrltu rds, ir aeiw rltds alee iuts`hd ndrtl`b
spdn`a`dh rlbgds.Bit lee tfdrkle primdnts nlee air deloirltd lutiklt`n
kib`tir`bg prigrlk s. Xfd aieeiw`bg p rigrlk u sdh `b tfd
Oihn lu, E L, a`rdaeiih primd nt ia N`t`ds ^drv`nd-HID @87
typ`a`ds ibd bddh dh air l sklee-snled p`eit.
<. Gls prihunt`ib rltds, usdaue ai r klss olelbnd nle-
nuelt`ibs, w drd kdlsurdh kibtfey. Kibtfey lbleys`s ia
tfd prihundh gls glvd hltl air tfd nlenuelt`ib ia tfd ixy-
gdb ut`e`zlt ib daa`n`dbny.
?. I`e lbh wltdr prihunt`ib rltds wdrd kdlsurdh lt edlst
tw`nd dlnf kibtf.
>. Aeiw e`bd tdkpdrltu rds wdrd kdlsurdh hl`ey. Xfdsd
tdkpdrltu rds, `b nibmubnt`ib w`tf tfd gls prihunt`ib rltds,
wdrd usdaue `b hdtdrk`b`bg tfd lkiubt ia qudbnf wltdr
bddhdh lt tfd prihundrs,8. Hiwbfied tdk pdrlturd pria`eds wdrd tlcdb kibtfey
lt tfd iosdrvlt`ib wdees. Xfd sd pria`eds fdepdh ti hde`bd-
ltd tfd hdvdeipkdbt ia tfd ourbdh vieukd.
Nir`bg Zrigrlk
Hr`ee bg nird fieds niueh od vdry dxpdbs`vd, hdpdbh`bg
ib tfd hdptf s ia tfd ply zibds. Fiwd vdr, l muh`n`iusey
hds`gbdh lbh pripdrey d xdnutdh nir`bg prigrlk, d`tfdr
hur`bg l tfdrkle primd nt ir latdrwlrh, niueh priv`hd vleu-
loed `bairklt`ib ib tfd primdnt pdrairkl bnd. ^unf l pri-
grlk nlb g`vd tfd aieeiw`bg `bairklt`ib= (<) rds`hule i`e
slturlt`ib (_I^ ) latdr stdlkaeiih ir a`rdaeiih, (?) vdrt`-
nle swddp ia tfd `bmdntdh stdlk i r ourbdh vieukd, (>) lrdle
swddp ia tfd stdlk aribt ir ourb`bg aribt, (8) klx`kuk
tdkpdrltu rd h`str`out`ib, oitf lrdleey lbh vdrt`nleey, lbh
(4) daadnt`vd pdrkdlo`e`ty ia tfd rinc, lbh wfdtfd r lby
hdpis`ts airkdh hur`bg tfd prindss niueh flvd rdhundh
tfd aeiw nlpln`ty.
L typ`nle nir`bg pri grlk, usdh air pistki rtdk dvleu-
lt`ib `b tfd ^eiss, BD, a`rdaeiih primdnt,70 `s sukklr-
`zdh bdxt.
Nird Lbleysds. Ziris`ty, pdrkdlo`e`ty, lbh i`e slturl-
t`ibs wdrd kdlsurdh ib dlnf aiit ia tfd rdnivdrdh nirds.
I`e slturlt`ibs w drd hdtdrk`bdh oy tfd riut`bd Hdlb -^tlrc
dxtrlnt`ib lbh wd`gft eiss kdtfih, lbh tfd `barlrdh lo-
sirpt`ib kdtfih.
Eig Lbleysds. Nikp dbsltdh airklt`ib hdbs`ty lbh hule-
`bhunt`ib eltdrieig eigs wdrd rub `b tfd nird fi eds ti hd-tdrk`bd piris`ty lbh i`e slturlt`ib.
Zfitigrlpfs lbh Q`sule Dxlk`blt`ib. Wfdrdls oelnc-
lbh-wf`td pfitigrlpfs wdrd aiubh ti od rltfdr usdedss,
uetrlv`iedt pfiti grlpfs glvd lb dxndeedbt p`nturd ls ti
wfdrd tfd i`e wls rdkivdh oy tfd ourb`bg prindss. Xfd
losdbnd ia i`e lesi niueh od sddb oy v`sule dxlk`blt`ib.
@b sikd `btdrvles, tfd rdhh`sf nieir ia tfd nird `bh`nltdhtflt tfd nird flh oddb suomdntdh ti l tdkpdrlturd f`gf
dbiugf air `rib ix`hlt`ib.
K`bdrle Lbleysds ia tfd Nirds. Qlr`ius k`bdrles, `b-
neuh`bg gelunib`td, `ee`td, nfeir`td, lbh clie`b`td, ubhdr-
wdbt pdrklbdbt nflbgds w`tf tfd tdkpdrltu rd `bnrdlsd.
Xfd klx`kuk tdkpdrlturd ti wf`nf tfd nird slkpeds flh
oddb dxpisdh niueh od hdtdrk`bdh arik tfd airk lbh
nieir ia tfdsd k`bdrles.
K`nrisnip`n ^tuh`ds. Xfd snlbb`bg dedntrib k `nrisnipd
wls usdh ti stuhy lbfyhr`td airklt`ib lbh nely letdrl-
t`ib `b tfd nird slkpeds, wf`nf f lh oddb suomdntdh ti f`gf
tdkpdrlturds.
Xrlndrs
Xfd usd ia trlndrs fdepdh ti kib`tir aeu`h kivdkdbt lbh
`btdrprdt lrdle nivdrlgd `b `bh`v`hule stdlkaeiih plttdrbs.
Lnnirh`bg ti Wlgbd r, @86 prdadrrdh lqudius-pflsd ir
glsdiu s-pflsd trlndrs `bneuhd rlh`i`sitipds, slets w`tf hd-
tdntloed nlt`ibs lbh lb`ibs, aeuirdsndbt hyds, lbh wltdr-
sieuoed lenifies. _lh`ilnt`vd trlndrs `bneuhd tr`t`uk,
tr`t`ltdh wltdr, lbh cryptib-64. Itfdr trlndrs `bneuhd lk-
kib`l, l`r, sih`uk b`tr`td, sih`uk orik`hd, lbh sih`uk
nfeir`hd.
Ipdrlt`ible Zrioedks lbh _dkdh`ds
Ipdrlt`ible prioedks pelgu`bg stdl kaeiih lbh a`rdaeiih
primdnts lbh tfd`r rdkdh`ds, prdv`iusey hdtl`edh oy
Nfu . 1‐ 1> lrd sukklr`zdh bdxt.
Zrioedks N ikkib ti ^tdlkaeiihs lbh A`rdaeiihs
Wd@@ Zrihunt`v`ty. Zrihunt`ib ia tfd f`gfey v`snius nruhd
kly od dxtrdkdey eiw odaird tfd lrr`vle i a tfd stdlk aribt
ir ourb`bg aribt. Xfd prihunt`ib rltd nlb od `kprivdh
oy `bmdnt`bg e`gft i`e ls l h`eudbt, fit i`e trdltkdbt, ny-
ne`n stdlk `bmdnt`ib, ir ourb`bg lt tfd prihundrs.
Wfdb prihundr tdkpdrlturd dxnddhs ?4:‛A, pukp da-
a`n`dbny h dnrdlsds ti l grdlt dxtdbt odnlusd ia fit pri-
hundh aeu`hs aelsf`bg ti stdlk ir h`rdnt ordlctfriug f ia
tfd `bmdntdh stdlk i r aeud gls. X fd odst rdkdhy `s ti peugiaa tfd fit zibd lbh rdh`rdnt tfd stdlk i r aeud gls ti tfd
i`e sdnt`ib od aird dbtdr`bg tfd wdeeoird.
^lbh`bg. ^lbh`bg nlb od sdvdrd dvdb `b stdlkaeiih prim-
dnts. Xfd rdkdh`ds `bneuhd tfd Fypdrnedlb‐ ‛ tdnfb`qud,
ailkdh-`b t`gft-fied seittdh e`bdrs, l sih`uk leuk `bltd
slbh nibsie`hlt`ib tdnfb`qud, lbh tfd usd ia pfdbie`n-rds`b
grlvde plnc`bg.
@b a`rdaeiihs, slbh`bg `s plrt`nuelrey sdvdrd `a tfd slbh
`s dxtrdkdey ubnibsie`hltdh. Xfd dris`ib nlb od lggrl-
vltdh aurtfdr oy nicd plrt`neds lbh f`gf gls rltds. ^lbh-
oelst`bg niu eh rdqu`rd ardqudb t puee`bg ia wdees lbh
rdpelndkdbt ia pukps.
Dkues`ibs. @b stdlkaeiih s, dkues`ibs sikdt`kds nlb od
oricdb dls`ey oy nfdk`nle trdltk dbt. Xfd prioedk niueh
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81-??
t@--
A`g. 81.<>-Zrihunt ib f`stiry ia nyne`n stdlk st`kuelt`ib, XK
slbh, Fubt`bgtib Odlnf iaasfird a`d eh, NL.
odnik d sd vdrd `a tfd dkues`ib `s nikpe`nltdh w`tf tfd
sie`hs prihu ndh lbh w`tf tfd nibt`buiusey nflbg`bg bl-
turd ia tfd prihundh aeu`hs.
Dkues`ibs aiubh `b a`rdaeiih p rimdnts l rd airkdh iafdlvy i`e, nrlncdh e`gft dbhs, qudbnf lbh airklt`ib wltdr,
sie`hs, lbh piss`oey, ni rris`ib prihunts. Xfdy nlb odnik d
l nibt`bule lbh klmir prioedk `b sikd primdnts, lbh rd-
qu`rd dxpdbs`vd dkues`ib ordlc drs.
Zrioedks Zelgu`bg ^tdlkaeiihs Ibey
^tdlk Zelndkdbt. Xfd elnc ia nibtrie ia stdlk pelnd-
kdbt hur`bg stdlk st`kuelt`ib `s l klmir prio edk `b
prihun drs w`tf e bdr nikpedt`ibs. Xfd usd ia sie`h str`bg
nikpedt`ibs w`ee fdep rdhund tfd prioedk.
^tdlk ^pe`tt`bg. Xfd ubdvdb spe`tt`bg ia stdlk `b l twi-
pflsd rdg`kd nlb nlusd s`gb`a`nlbt h`aadrdbnds `b stdlkqule`ty `bti h`aadrdbt `bmdntirs. Xf`s nlb od nirrdntdh oy
kih`ay`bg tfd elyiut ia tfd stdlk e bd orlbnf`bg systdk.
XLOED 81.<4--_D^D_QI@_ _INC LBH AET@H
Z_IZD_XP HLXL, XK ^LBH, FTBX@BGXIB ODLNF
IAA^FI_D A@DEH, NL
Hdptf, ae
Xf`ncbdss, at
Griss
Bdt
Ziris`ty, %
Zdrkdlo`e`ty, kh
I`e grlv`ty, ILZ@
_dsdrvi`r tdkpdrlturd, IA
_dsdrvi`r prdssurd lt stlrt,
I`e v`snis`ty lt <?9A, np
I`e slturlt`ib le stlrt, %
?,::: ti ?,>::
<<4
8: ti 46
>4
8:: ti 6::
<? ti <4
<?4
w`g 1:: ti 6::
16?
74
ZDX_IEDTK DBG@BDD_@BG FLBHOIIC
Zrioedks Zelgu`bg A`rdaeiihs Ibey
Ziir @bmdnt`v`ty. Qlr`ius suostlbnds nlb nlusd eissds `b
`bmdnt`v`ty air tfd l`r `bmdntirs. @a `hdbt`a`loed, tfdsd prio-
edks nlb od rdkdh`dh oy lppripr`ltd kdlbs. @bmdntir peug-
g`bg oy `rib ix `hd nlb od rdhundh oy `bmdnt`bg l`r `bti
tfd nls`bg lbh oeddh`bg `t tfriugf tfd tuo`bg. Lspfletdbdou`ehup nlb od rdhundh oy squddzd wlsf`bg w`tf
lspfletdbd sievdbt. Dkues`ib airkdh `b s`tu nlb od rd-
hundh oy dkues`ib ordlcdrs. ^nled airklt`ib nlusdh oy
olr`uk lbh stribt`uk suealtd nlb od rdhundh oy lb ir-
glb`n pfis pfltd. Xfd `bmdnt ib ia BuXr`X‛
(tr`nfeirikdtfyedbd) lbh ln`h`z`bg lrd usdaue `b `kpriv-
`bg tfd `bmdnt`v`ty.
Nirris`ib. Nirris`ib nlb od k`eh ir sdr`ius lbh `s nlusdh
oy s`kuetlbdius `bmdnt ib ia l`r lbh wltdr, prihunt`ib ia
ln`hs, sueaur, ixygdb, lbh NI? . Nirris`ib `bf`o`tirs lrd
bddhdh rdguelrey.
Dxpeirlt`ib Flzlrhs. Xi k`b`k`zd dxp eis`ib flz lrhs`b tfd l`r `bmdnt`ib systdk, lb dxpeis`ib-priia euor`nlbt
sfiueh od usdh. Aeusf`bg ia tfd `btdrstlgd p`p`bg w `tf l
b`trix sieut`ib `s bdndsslry.
Nlsd F`stir`ds
Klby tfdrkle rdnivdry primdnts flvd oddb rdpirtdh `b
tfd e`tdrlturd. Xfd aieeiw`bg hdsnr`ods l bukodr ia sdednt-
dh primdnts lbh g`vds tfd rdlsibs air tfd`r sdednt`ib.
^tdlk ^t`kuelt`ib Ipdrlt`ibs
Fubt`bgtib Odlnf, NL ^`gble) <80-Xyp`nl@ Ipdrl-
t`ib. Xfd stdlk st`kuelt`ib primdnt wl s nibhuntdh `b tfdXK slbh, `b tfd Fubt`bgtib Odln f iaasfird a`deh, Irlbgd
Niubty, NL, Xf`s primdnt typ`a`ds tfd odflv`ir ia l fdlvy-
i`e rdsdrvi`r ubhdr nyne`n stdlk st kuelt`ib. Xfd rdsdr-
vi`r pripdrt`ds lrd g`vdb `b Xloed 81.<4 .
^tdlk `bmdnt`ib wls stlrtdh `b b`bd prihundrs `b ^dpt.
<018 , rdsuet`bg `b l elrgd `bnrdlsd `b i`e prihunt`ib. Xf`s
dlrey sunndss prikptdh tfd dxplbs`ib ia tfd primdnt oy
hr`ee bg wdees ib 4-lnrd spln`bg. Xfd bukodr ia wdees `b-
nrdlsdh arik 0 `b <018 ti >4 `b <010. Xfd pdrairklbnd
ia tfd stdlk st`kuelt`ib primdnt hur`bg tfd <018-7: pdr`-
ih `s sfiwb `b A`g. 81.<>. W`tf stdlk st`kuelt`ib lbh
w`tf tfd lekist qu lhrupe`bg ia tfd bukodr ia wdees, tfd
i`e rltd `bnrdlsdh kird tflb ei-aieh, arik <?4 O/H i`e
`b <018 ti loiut <,4:: O/H i`e `b <07:.Xfd pdrairklbnd ia stdlk st`kuelt`ib birkleey hdtdr`-
irltds ls tfd bukodr ia nyneds `bnrdlsds. Ls sfiwb `b
Xloed 81.<1, tfd I^_ nflbgdh arik tfd rlbgd ia > ti >.6
ooe/ooe air tfd a`rst twi nyneds ti tfd rlbgd ia ?.8 ti ?.4
ooe/ooe air tfd tf`rh lbh aiurtf nyneds.
A`g. 81.<8 sfiw s fiw i`e prihunt`ib `b ibd wdee
hdnrdlsd s hur`bg l nyned lbh fiw `t vlr`ds arik i bd nyned
ti lbitfdr.
Zlr`s Qleedy, NL Fuscy) ‖4:-Ni-@qmdnt`ib ia Gls lbh
^tdlk. L wdt nikoust`ib primdnt wls `b`t ltdh lt Zlr`s
Qleedy, wf`nf `s einltdh `b Kibtdrdy Niubty, NL. Od-
aird tfd lrr`vle ia tfd fdlt aribt, tfd prihundrs wdrd st`ku-
eltdh w`tf stdlk. L spdn`le adlturd tf lt klhd tf`s primdnt`btdrdst`bg wls tfd ni-`bmdnt`ib ia l`r lbh stdlk `b tfrdd
ia tfd st`kuelt`ib nyneds. Xf d rdsdrvi`r pripdrt`ds lrd
g`vdb `b Xloed 81.<7.
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XFD_KLE _DNIQD_P 81-?>
A`g. 81.<8-:<< prihunt`ib rltd, Wdee M-<?6, Fubt`bgtib Odlnf
iaasfird a`deh.
@b Xloed 81.<6 , Nyneds > lbh 4 ia Wdee ? : lbh Nyned
7 ia Wdee > usdh l`r-stdlk `bmdnt`ib. Air Wdee ?:, i`e pri-
hunt`ib `b Nyned > wls 8,7:< ooe wf`ed tflt `b Nyned ?
wls ?,880 ooe. Xfus, w`tf l`r-stdlk `bmdnt`ib, i`e pri-
hunt`ib `bnrdlsdh oy 0? % . L s`k`elr `bnrdlsd wls bit`nd-
loed air Nyned 4 ia Wdee ?: lbh Nyned 7 ia Wdee > wfdb
nikplrdh w`tf tfd`r rdspdnt`vd prdndh`bg nyneds, wf`nf
usdh stdlk ibey.
^tdlkaeiih Zrimdnts
Cdrb _`vdr, NL Gdtty) 16k7:-Elrgdst ^tdlkaeiih.
Xfd Cdrb _`vdr a`deh `s einltdh birtfdlst ia Olcdrsa`deh,
NL, `b tfd siutfdlstdrb plrt ia tfd ^lb Milqu`b Qleedy.
Gdtty I`e Ni.‖s stdlk h`spelndkdbt ipdrlt`ib `b tf`s a`deh
`s tfd elrgdst `b tfd wireh, olsdh ib l <06? survdy. e> Ln-
nirh`bg ti tf`s survdy, tfd tfdrkle i`e prihunt`ib rltd wls
6>,::: O/H `b lb lrdl ia 4,:7: lnrds.
Xfd Cdrb _`vdr airklt`ib nibs`sts ia l sdqudbnd ia le-
tdrblt`bg slbh lbh sfled kdko drs. Xfd rdsdrvi`r p ripdr-
t`ds lrd g`vdb `b Xloed 81.<0.
Xfd Cdrb _`vdr a`deh wls h`snivdrdh `b tfd eltd <60: ‐s.@b tfd k`h-<04 :‐s, oittikf ied fdltdrs w drd usdh ti `k-
privd tfd i e prihunt`v`ty. @b Lug. <01? , l ?.4-lnrd bir-
kle a`vd-spit fit wltdraeiih wls stlrtdh. _dsuets sfiwdh
tflt tf`s prinds s wl s tdnfb`nleey adls`oed out dnibik`nleey
ublttrlnt`vd. @b Mubd <0 18, tfd fit wltdraeiih p`eit wls
nibvdrtdh ti l stdlk h`spelndkdbt tdst lbh tfd bukodr
ia `bmdntirs wls `bnrdlsdh arik tfd ir`g`ble 8 wdees ti 87
wdees. Nibt`budh dxplbs`ib tfriugf tfd ydlrs fls `b-
nrdlsdh tfd bukodr ia `bmdntirs ti <,766 wdees, w`tf ?,441
prihun drs oy <06?. Xfd ir`g`ble Cdrb primdnt lbh sikd
eltdr dxplbs`ibs lrd sfiwb `b A`g. 81.<4. Xfd stdlk h`s-
pelndkdbt ipdrlt`ib wls `b gdbdrle nibhuntdh `b ?.4-lnrd
a`vd-spit plttdrbs.
Gdtty I`e Ni.‖s stdlk h`spelndkdbt ipdrlt`ib `bneuhdsklby primdnts. Air `eeustrlt`ib purpisd s, tfd Cdrb prim-
dnt `s prdsdbtdh fdrd w`tf l klp sfiw`bg tfd wdee plt-
tdrbs (A`g. 81.<1) lbh l a`gurd sfi w`bg tfd `bmdnt`ib lbh
XLOED 81.<1-^TKKL_P IA ZD_AI_KLBND
XF_ITGF AIT_ ―FTAA ‖B‐ ZTAA‛ NPNED^ L^ IA
INXIOD_ <,<07I3 XK ^LBH, FTBX@BGXIB ODLNF
IAA^FI_D A@DEH, NL
Nyned < N yned ? Nyned > Nyned 8
Bukodr ia wdees ?8 <6 << 8Lvdrlgd nyned edbgtf,
kibtfs <8 <6 <4.> <8.4
Lvdrlgd i`e rdnivdry
pdr wdee, ^X O ?6,0:: >:,0:: ?8,14: ?0,??4
Lvdrlgd qule`ty ia
stdlk `bmdntdh, % 7<.8 10.> 74.< 76.4
Lvdrlgd vieukd ia
stdlk `bmdntdh, ooe 0,40: 6,<>: <:,<0: <<,71:
_lt`i ia i`e rdnivdrdh
ti stdlk `bmdntdh,
^XOeooe > >.6 ?.8 ?.4
9 LOED 81.<7-_D^D_QI@_ _INC LBH AET@H
Z_IZD_XP HLXL, LB^OD__P _D^D_QI@_,
ZL_@^ QLEEDP A@DEH, NL
Hdptf, _
Bdt tf`ncbdss, at
H`p, hdgrdds
Ziris`ty, %
Zdrkdlo`e`ty, kh
I`e grlv`ty, ILZ@
_dsdrvi`r tdkpdrlturd, IA
@b`t le prdssurd, ps`g
^lturlt`ib lt stlrt, %
I`e
Wltdr
I`e v`snis`ty, np
Tppdr Eiod
67ºA ??7,:::eIIiA 08,:::
?::ºA >8:
6::
4:
<4
>?
>,74:
<:.4
l7
??:
18
>1
Eiwdr Eiod
?>,:::<<,:::
<?:
XLOED 81.< &-_D^ZIB^D XI NPNE@N L@_/^XDLK
Wdee ?: Wdee >
^tdlk vieukd,
ei> ooe
L`r vieukd, ei1 sna
L`r/stdlk rlt`i,
snaeooe
Nikplrloed
prihun`bg hlys
I`e prihundh, ooe
^tdlk/i`e rlt`i,
ooe/ooe
I`e/stdlk rlt`i,
ooeeooe
Zdlc i`e prihunt`ib
tdst, O@H
Nyned Nyned Nyned Nyned Nyned Nyned
? > 8 4 1 7
<>.? <1.? <4.7 <:.8 6.? 0.?
: <.4 : >.7 ne >.1
: 0< : >44 : >08
<1< <1< 0: 0: 07 07
?,880 8,7:< ?7: 4:> ?,>74 8,?:>
4.8 >.8 4: ?< >.4 ?.?
:.<0 :.?0 :.:? :.:4 :.?0 :.84
4< 6< ?8 >6 1: <8<
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81-?8 ZDX_IEDTK DBG@BDD_@BG FLBHOIIC
XLOED 81.<0--_D^D_QI@_ _INC LBH AET@H Z_IZD_ XP
HLXL, CD_B _@QD_ A@DEH, NL
Hdptf, at
Xf`ncbdss, at
H`p, hdgrdds
Ziris`ty, %
Zdrkdlo`e`ty, kh
I`e grlv`ty, ILZ@
_dsdrvi`r tdkpdrlturd, IA
_dsdrvi`r prdssurd lt stlrt, ps`g
I`e v`snis`ty, np
0IiA
?4:ºA
I`e slturlt`ib lt stlrt, %
4:: ti <,>::
>: ti 0:
8
?6 ti >>
<,::: ti 4,:::
<?.: ti <1.4
0:
<::
8,:::
<4
>4 ti 4?
prihunt`ib f`stiry ia tfd aiur-plttdrb p`eit (A`g. 81.<7).
@b tf`s primdnt, tfd nukuelt`vd ^I_ wls >.6 ooe/ooe lbh
tfd prihunt`ib rltd rdlnfdh <:: O/H i a i`e pdr plttdrb.
Nird fied hltl odaird lbh latdr tfd stdlkaeiih sfiwdh
lb i e rdnivdry ia 7? % lbh lesi l vdry f`gf lrdl< swddpdaa`n`dbny.
Ordl, NL ^fdee) ‖?4-^tdlk H`st`eelt`ib Hr`vd, Hddp
_dsdrvi`r, ^tddpey H`pp`bg. L stdlk h`st`eelt`ib hr`vd
wls `b`t`ltdh `b <018 `b tfd Ordl a`deh, wf `nf `s einltdh
loiut ?4 k`eds dlst ia Eis Lbgdeds. Xf`s primdnt `s `b-
tdrdst`bg odnlusd tfd i`e `s rdelt`vdey e`gft w`tf eiw v`s-
nis`ty, lbh tfd rdsdrvi`r `s stddpey h`pp`bg lt l grdlt hdptf.
Xfd rdsdrvi`r pripdrt`ds lrd sukk lr`zdh `b Xloed 81.?: .
Xfd h`pp`bg rdsdrvi`r `s sddb nedlrey `b A`g. 81.<6 . Xfd
`bmdntirs lrd einltdh uph `p, ls sfiwb `b A`g. 81.<0. Od-
nlusd i a tfd hdptf, `bsueltdh tuo`bg wls usdh air tfd b-
mdntirs. Xf`s a`gurd lesi sfiw s tfd lrdl ia tdkpdrltu rdrdspibsd lbh prihunt`ib rdspibsd. Xfd `bmdnt`ib lbh pri-
hunt`ib rltds lrd g`vdb `b Xloed 81.? :. Ls ia Hdn. <07< ,
tfd stdlk rltd wls <,:<: O/H wltdr lbh tfd i`e rltd wls
?>: O/H, g`v`bg lb dst`kltdh ^I_ ia 8.8 ooe/ooe.
^klncivdr, L_ Zf`ee`ps) 6?X6>-_dsdrvi`r W `tf Gls
Nlp. Xfd ^k lncivd r a`deh `s einltdh `b Iulnf `tl Niubty,
L_. Xfd stdlkaeiih p`eit, nibhuntdh `b tfd Blnltinf
slbh, `s wirtf kdbt`ib`bg odnlusd tfd rdsdrvi`r fls l gls
nlp tf`ncdr tflb tfd i`e slbh `tsdea. Xf`s gls nlp nlb od
sddb rdlh`ey `b tfd eig lbh nirdgrlpf ia ^`huk Wdee W->4
(A`g. 81.? <). Xfd rdsdrvi`r pripdrt`ds lrd g`vdb `b Xloed
81.?<.
A`g. 81.<4-Cdrb _`vdr a`deh, NL.
@ @. ><?
.
e
.
.@ .-
A`g. 81.<1-Cdrb stdlk h`spelndkdbt primdnt, Cdrb _`vdr a`deh.
@lk
@-
,kbb
XLOED 81.?:-_D^D_QI@_ _INC LBH AET@H Z_IZD_ XP ‐kk
HLXL, O_DL A@DEH, NL :silb
Hdptf, at 8,1:: ti 4,:::
Griss strlt`grlpf`n tf`ncbdss, at >:: ti 6:: ‖-
_lt`i ia bdt ti griss slbh, % 1> -
H`p, hdgrdds 11
Ziris`ty, I/I ?? kk
Zdrkdlo`e`tv. kh 77 ;
I`e grlv`ty, ‖―‖LZ@
_dsdrvi`r tdkpdrlturd, IA
_dsdrvi`r prdssurd lt stlrt, ps`
I`e v`snis`ty lt <7PA, np 1
^lturlfib lt stlrt, %
I`eA`g. 81.<7-@bmdnt`ib lbh prihun t`ib f`stiry, Cdrb fit wltdr lbh
80
Glsstdlk h`spelndkdbt primdnt (aiur plttdrbs) Cdrb
<6 _`vdr a`deh.
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XFD_KLE _DNIQD_P81-?4
A-<>
A-<? A-<6 K <4
A`g. 81.<6-Nriss sdnt`ib tfriugf tfd eiwdr ―O‛ slbhs, Ordl
a`deh.
ZLIHTNX@ IB
_D ZIB D ~
IPN XIZ a - <8 ^ZBI- - - - - - - - - - - - Y
-- ―X- - - -
EDGDBH
@ e BM DNX,IB PDEE^
Z_IITNX@ IB PDEE^
IO D_QLX@ IB WDEE
A`g. 81.<0-Wdee einlt`ibs lbh lrdl ia tdkpdrlturd, tr`t `uk, lbh
prihunt`ib rdspibsds, Ordl a`deh, NL.
D^X5QLXDH Z_@ QLLP
@ E WIHTNX@ IB
e i 1> 18 14 11 17 16 10 7: 7<PDL_
A`g. 81.?:-@bmdnt`ib lbh prihunt`i b f`stiry, Ordl stdlk h`st`e-
elt`ib p`eit.
WLXD_ ^LXT_LX@IB, V
$ ‐ @-@bbb- -
A`g. 81.?<-Eig lbh nirdgrlpf, ^`huk Wdee W->4, ^klncivdr
a`deh, L_.
A`g. 81.?? `s l klp ia tfd ei-lnrd a`vd-spit p`eit, wf`nf
wls eltdr dxplbhdh ti l ??-lnrd b`bd-spit plttdrb oy lhh-
`bg aiur kird prihun drs. Ls sfiwb `b A`g. 81.?>, stdlk`bmdnt ib stlrtdh `b Biv. <01 8 lbh stippdh `b Int. <014 .
Xfd i e prihunt`ib nibt`budh eibg latdr stdlk `bmdnt`ib
stippdh. Ls ia Lug. <07:, tfd lhh`t`ible i`e prihundh oy
stdlkaeiih w ls ?:7,::: ooe. W`tf title stdlk `bmdnt`ib
ia 61:,: :: ooe, tfd nukuelt`vd ^I_ wls 8.<8 ooe/ooe.
Xfd tdkpdrlturd eig `b A`g. 81.?8 sfiws tflt stdlk
gids ti tfd gls nlp. @t nlb od nibneuhdh tflt tfd `bnrdlsd
`b i`e prihunt`ib wls bit nlusdh oy aribtle h `spelndkdbt.
_ltfd r, tfd i`e zibd tdkpdrlturd `bnrdlsdh odn lusd ia nib-
hunt`ib lbh nibvdnt`ib arik tfd gls nlp, tfus rdhun`bg
tfd i`e v`snis`ty lbh `bnrdls`bg tfd i e prihunt`ib.
XLOED 81.?<--_D^D_QI@_ _INC LBH AET@H Z_IZD_XP
HLXL, ^KLNCIQD_ A@DEH, L_
Hdptf, at
Xf`ncbdss, at
Griss
Bdt
H`p, hdgrdds
Ziris`ty, %
Zdrkdlo`e`ty, k h
I`e grlv`ty, ILZ@
_dsdrvi`r tdkpdrlturd, ‖-‖A
_dsdrvi`r prdssurd lt stlrt, ps`l
I e `snis`ty, np
1IIA
eeIºA
^lturlt`ib lt stlrt, %
I`e
Wltdr
<,0?:
<>:
?4
: ti 4
>4
?,:::
?:
<<:
4
<6:
74
4:
4:
7/22/2019 46 - Thermal Recovery
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81-?1 ZDX_IEDTK DBG@BDD_@BG FLBHOIIC
^D<8 ^DNX@IB >?-@^^-<4W
>
.?.‐
,^L>
.‖1
?:
.‖8 .‖0
WDEE ^PKOIE =
.? Z_IHTN@BG
::-< WLXD_ H@^ZI^LE
:%8> WLXD_ ^TZZEP
^NLED @- ; 8::‐
A`g. 81.??-^`huk stdlk `bmdnt`ib p`eit, ^klncivdr a`deh.
f >::-
b
/ - /_@KL_P- @
:'<018 <014 <011 <017
:Ep7-- -
3 eii t - )-
-XIXLE Z@EIX
s
D
W D E E
< QL 8
Z@EIX
l. ‐ Z_KLLP -‐h :<h <011 <010 <07: <07<
A`g. 81.?>-`bmdnt`ib lbh prihunt`ib f`stiry, ^`huk stdlk `b-
mdnt`ib p`eit, ^klncivdr a`deh.
HADDpDrX‛~XDKZD_LXT_D ^NLED ) IA
<?4 <4: <74 ?:: ??4 ?4: ?74
A`g. 81.?8-Xdkpdrlturd eig, ^`huk Wdee W-8?, ^klncivdr
a`deh.
^einuk, XV ^fdT)60~0:-_dsdrvi`r W`tf Wltdr ^lbh.
Xfd ^einuk a`deh `s einltdh `b siutfdrb Lbhdrsib Niubty
`b birtfdlst Xdxls. X fd stdlkaeiih primdnt `btdrdsts us
s`bnd `t `s nibhuntdh `b lb i e rdsdrvi`r ubhdrel`b oy l
wltdr slbh, ls sfiwb `b tfd typd eig (A`g. 81 .?4). Xfd
rdsdrvi`r pripdrt`d s lrd g`vdb `b Xloed 81.??.
Xfd a ` de hwls h`snivdrdh `b <044. Ibey loiut <% ia
II@Z wls prihundh oy pr`klry ipdrlt`ib. L sklee stdlk-
aeiih p`eit us`bg l B-lnrd birkle a`vd-spit plttdrb sfiwdh
dbniurlg`bg rdsuets. L auee-snled sdvdb-plttdrb primdnt wls
`b`t`ltdh `b <011 -17, w`tf 4.14l nrd, <>-sJ plttdrbs (A`g.
81. ?1).
Oitf `bmdntirs lbh prihundrs wdrd nik pedtdh l adw addt
`bti tfd wltdr slbh. ^tdlk kivds fir`zibtleey tfriugf
tfd wltdr elydr, r`sds vdrt`nleey `bti tfd i`e elydr, lbh h`s-
pelnds i`e tflt flh oddb fdl tdh lbh kio`e`zdh. Xfd i`e tfdbalees hiwb lbh suosdqudbtey `s swdp t tiwlr h tfdprihu ndrs. Xfd `bmdnt`ib lbh prihunt`ib f`stiry `s sfiwb
`b A`g. 81.?7.
^trddt _lbnf, XV Nibini) @4< Dxtrdkdey Q`snius
Xlr, Arlnturd-Lss`stdh ^tdlkaeiih. Xfd ^trddt _lbnf
p`eit wls nibhuntdh `b tfd ^lb K`gude-8 tlr slbh rdsdr-
vi`r einltdh `b Klvd r`nc Niubty, XV. Xf`s p`eit privdh
tfd tdnfb`nle adls`o`e`ty i a tfd arlnturd-lss`stdh stdlkaeii h
tdnfbieigy (A L^X ) b rdnivdr`bg dxtrdkdey v`snius fdlvy
i`es lbh tlrs. Xfd rdsdrvi`r pripdr t`ds lrd g`vdb `b Xloed
81.?> . Xfd p`eit usdh l 4-lnrd `bvdrtdh a`vd-spit p lttdrb.
Xfd aiur prihundrs wdrd arlnturdh fir`zibtleey w`tf niehwltdr, stdlk st`kueltdh, pdrairltdh, lbh rdstdlkdh. Xfd
`bmdntir tfdb wls arlnturdh fir`zibtleey ti dstloe`sf nik-
kub`nlt`ib w`tf tfd prihu ndrs. Xfd p`eit nibs`stdh i a tfrdd
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XFD_KLE _DNIQD_P 81-?7
GLKKL _LP _D^e^XeQeXP XLOED 81.??--_D^D_QI@_ _INC LBH AET@H Z_IZD_X P
HLXL, ^EINTK A@DEH, XV
Hdptf, at
Xf`ncbdss, at
Griss
Bdt
H`p, hdgrdds
Ziris`ty, I/i
Zdrkdlo`e`ty, kh
I`e grlv`ty, ILZe
_dsdrvi`r tdkpdrlturd, ―A
@b`t le rdsdrvi`r prdssurd, ps`g
I`e v`snis`ty, np
1:ºA
8::ºA
I`e slturlt`ib lt stlrt, %
4?:
>8
>?
: ti 4
>8
2 ?,:::
<6 ti <0
6:
<<:
<,::: ti >,:::
> ti 7
16
A`g. 81.?4-Xypd eig, ^einuk a`deh, XV
pflsds= (<) arlnturd prdfdl t, (?) kltr`x stdl k `bmdnt ib,
lbh (>) fdlt snlvdbg`bg w`tf wltdr `bmdnt`ib. Xfd tlr pri-
hunt`ib lbh stdlk/tlr rlt`i hur`bg tfd > < kibtf f`stiry
lrd sfiwb `b A`gs. 81.?6 lbh 81.?0 , rdspdnt`vdey. Xfd
lvdrlgd tlr prihunt`ib rltd wls <6 4 O/H lbh tfd nukuel-
t`vd stdlk/tlr rlt`i wls <:.0 ooe`ooe. Zistp`eit ni rd fieds
sfiw dh rds`hule tlr slturlt`ibs ls eiw ls 6% lbh lb lvdr-
lgd rdniv dry daa`n`dbny ia 11 % .
Elnq ^upf`dur, Arlbnd Dea Lqu tl`bd) @s? -Nlro-
ibltd _dsdrvi`r. Xfd E lnq ^up &`dur a`deh `s ib tfd birtf
s`hd ia tfd Zyrdbdds Kts. `b siutfwdst Arlbnd. Xfd stdlk-
aeiih p`eit `s ub`qud odnlusd `t wls nibhuntdh `b l nlroi-
bltdh, hieik`t`zdh, lbh f`gfey arlnturdh rdsdrvi`r. Xfd
rdsdrvi`r pripdrt`ds lrd g`vdb `b Xloed 81.?8.
Xfd p`eit wl s einltdh `b tfd ndbtrle plrt ia tfd arln-
turdh e`kdstibd zibd, bdlr tfd tip ia lb lbt`ne`bd. Xfdplttdrb lrd l `s >4 lnrds, hda`bdh oy s`x ieh prihun drs, ls
sfiwb `b A`g. 81.>: . Xfd `bmdntir wls tfd ibey ibd hr eedh
air tfd p`eit. ^td lk `bmdnt`ib stlrtdh `b Int. <077 . I`e
prihunt`ib stlrtdh ti `bnrdlsd, ibey > kibtfs latdr stdlk
ZEXXD_BVZEF@eGB<0.4<<`bmdnt`ib odglb. Xfd prihunt`ib f`stiry `s sfiwb `b A`g.
k DeGteXLXXD_BVZ@B^eG‛@Z,Z@ 81.> <. Oy Mubd <06 :, `bnrdkdbtle i`e prihunt`ib lkiubt-. @BMDNX@IBDEE. XFD_P@E_IHTNX@GBDEE dh ti <71,::: ooe w`tf l nukuelt`vd stdlk `bmdnt`ib ia
0?1,: :: ooe. Xfd nukuelt`vd ^I_ `s 4.?1 ooe`ooe. Xf`s
A`g. 81.?1-^einuk tfdrkle rdnivdry Zrimdnt.
A`g. 81.?7-@bmdnt`ib lbh prihunt`i b f`stiry, ^einuk tfdrkle
rdnivdry primdnt.
XLOED 8‐m.?>--_D^D_QI@_ _INC LBH AET@H Z_IZD_XP
HLXL, ^X_DDX _LBNF Z@EIX, XV
Hdptf, at
Xf`ncbdss, at
Griss
Bdt
H`p, hdgrdds
Ziris`ty, %
Zdrkdlo`e`ty, kh
Xlr grlv`ty, ―LZ@
_dsdrvi`r tdkpdrlturd, IA
Xlr v`snis`ty lt 04IA. np (dst.)
Xlr c`bdklt`n v`snis`ty, n^t
<74IA
?::ºA
?4:ºA
>::ºA
Ziur pikt. ―A
Xitle sueaur, wt%
@b`t`le oi`e`bg pikt, IA
Xlr slturlt`ib lt stlrt, %
<,4::
4?
8:.4
?
?1.4 lbh ?7.4
?4: ti <,:::
-?.:
04
?:,:::,:::
4?:,:::
1<,:::
?,0::
67:
<7: ti <6:
0.4 ti <<.:
4::
48.7 lbh >6.0
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81-?6 ZDX_IEDTK DBG@BDD_@BG FLBHOIIC
A`g. 81.?6-Xlr prihunt`ib f`stiry, ^trddt _lbnf p`eit, XV.
A`g. 81.?0-^tdlk /tlr rlt`is, ^trddt _lbnf p`eit.
UU /@
?sikI- U /
: eii: at. v El8
A`g. 81.>:-Z`eit lrdl, Elnq ^up&`dur a `deh, Arlbnd
XLOED 81.?8--_D^D_QI@_ _INC LBH AET@H Z_IZD_ XP
HLXL, ELN\ ^TZD_@DT_ A@DEH, A_LBND
Hdptf, at <,07: ti ?,>::
Xf`ncbdss, at 8::
I`e grlv`ty, I LZ@ ?<.4
_dsdrvi`r tdkpdrlturd, IA <8:
_dsdrvi`r prdssurd, ps` 17:I`e v`snis`ty lt < 8:ºA, np <7.4
Kltr`x Oeincs A`ssurd Bdtwirc
Ziris`ty, % <? :.4
Zdrkdlo `e`ty, kh < 4,::: ti <:,:::
Wltdr slturlt`ib lt stlrt. % 1: <::
p`eit sfiwdh tflt l stribgey a`ssurdh rdsdrvi`r nlb od dx-
pei`tdh daa`n`dbtey oy tfd stdlkaeii h prinds s, ls `a `t wdrd
l fiki gdbdiu s rdsdrvi`r. Xfd h`ssin`lt`ib ia tfd nlr-
oibltd rinc s oy stdlk lpplrdbtey prihu ndh bi ubalvirl-
oed daadnts. _ltfdr, tfd NI? dvievdh k`gft flvd sikdpis`t`vd daadnt ib tfd prindss daa`n`dbny.
A`rdaeiih Zrimdnts
^upelnu hd Olrnlu, _iklb`l @AZ-@N ZZ) ―‖-Elrgdst
A`rdaeiih. Xfd ^upelnu hd Olrnlu a`deh e`ds `b birtf-
wdstdrb _i klb`l. Xf`s `s rdpirtdhey tfd elrgdst a`rdaeiih
primdnt `b tfd wireh, prihun`bg bdlrey 1 .41> O/H ia
<4.0‛ LZ@ i`e. Xfd rdsdrvi`r pripdrt`ds lrd g`vdb `b Xl-
oed 81.?4.
Xfd primdnt stlrtdh w`tf l p`eit `b <01 8 us`bg l <.?8-l nrd
`bvdrtdh a`vd-spit p lttdrb tfl t wls eltdr dxplbh dh `bti l
8.08-lnrd `bvdrtdh b`bd-spit plttdrb. Xf`s wls aieeiwdh
oy l sdk`nikkdrn`le ipdrlt`ib `b tfd pdr`ih <017-7< w`tf
d`gft 0.66-lnrd `bvdrtdh b`bd-spit pl ttdrbs. Xf`s ipdrl-
t`ib aurtfdr dxplbhdh `bti auee nikk drn`le ipdrlt`ib, a`rst
rdtl`b`bg tfd b`bd-spit plttdrbs w`tf tfd slkd spln`bg, lbh
eltdr nflbg`bg ti e`bdhr`vd ipdrlt`ib. Xfd ir`g`ble p`eit
lbh eltdr dxplbs`ibs lrd sfiwb `b A`g. 81.>?. @bmdnt`ib
wdees bukodrdh >6 `b <070 w`tf ?: us`bg letdrbltd l`r
lbh wltdr `bmdnt`ib lbh tfd olelbnd us`bg strl`gft l`r. Xfd
prihunt`ib f`stiry `s g`vdb `b A`g. 81.>>. Xfd WL_ wls
:.:60 ti :.<76 oo</<:> sna. Ls ia <070 , tfd l`r `bmdnt`ib
rltd wls 1>,1::~ ei> sna/H. W`tf lb i`e rltd ia 1,41>
O/H. tfd LI_ wls dst`kltdh ti od 0.7 V <:‐ sna/ooe.
Wdst Fd`hdeodrg, K ^ G~ea)―~*― ~-Hddpdst A`rd-
aeiih. Xfd Wdst Fd`hdeodrg a`deh `s einltdh `b Mlspd r
Niubty `b dlstdrb K`ss`ss`pp`. W`tf l hdptf dxnddh`bg
? k`eds, `t `s tfd hddpdst a`rdaeiih primdnt, ir tfd hddpdst
tfdrkle p rimdnt, air tflt klttdr. Xfd Nittib Qleedy air-
klt`ib fls d`gft slbhs. Xfd a`rdaeiih wls nibhuntdh `b
^lbh Bi. 4. Xfd rdsdrvi`r pripdrt`ds lrd g`vdb `b Xloed
81.?1.
Ls sfiwb `b tfd strunturd klp ia ^lbh Bi. 4 (A`g.
81.>8), ibey ibd `bmdntir wls usdh, bdlr tfd tip ia tfd
strunturd, w`tf sdvdb prihundrs einltdh hiwbh`p. Xfd `b-
mdnt`ib lbh prihunt`ib f`stiry `s g`vdb `b A`g. 81.>4. @t
nlb od dst`kltdh arik tf`s a`gurd tflt, hur`bg tf d pdr`ih
<07> -71, tfd lvdrlgd l`r `bmdnt`ib rltd wls loiut
0:: x ei> sna/H wfdrdls tfd lvdrlgd i`e prihunt`ib rltd
wls loiut 8:: O/H. Xf`s g`vds lb LI_ ia ibey
?.?4 x ei> sna`ooe.
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XFD_KLE _DNIQD_P 81-?0
A`g. 81.><-Zrihun t`ib f`stiry, Elnq ^updr`d ur a`deh.
A`g. 81.>?-^upelnu hd Olrnlu a`deh, _iklb`l.
A`g. 81.>>-@bmdnt`ib lbh prihunt`i b f`stiry, ^upelnu hd Olrnlu
a`deh.
XLOED 81.?4--_D^D_QI@_ _INC LBH AET@H Z_IZ D_XP
HLXL, ^TZELNT HD OL_NLT A @DEH, _IKLB@L
Hdptf, at <18 ti 141
Bdt tf`ncbdss, at >?.6Ziris`ty, % >?
Zdrkdlo`e`ty, kh
I`e grlv`ty, ILZ@<,7??
<4.0
_dsdrvi`r tdkpdrlturd, IA 18I`e v`snis`ty lt 18IA, np
I`e slturlt`ib lt stlrt, %?,:::
64
XLOED 81.?1-_D^D_QI@_ _INC LBH AET@H Z_IZ D_XP
HLXL, WD^X FD@HDEOD_G A@DEH, K^
Hdptf, at
Xf`ncbdss, at
Griss
Bdt
H`p, hdgrdds
Ziris`ty, %
Zdrkdlo`e`ty, kh
I`e grlv`ty, ILZ@
_dsdrvi`r tdkpdrlturd, IA
I`e v`snis`ty lt ??<ºA, np
I`e slturlt`ib lt stlrt. %
<<,4::
?: ti 8:
>:
4ti <4
<1.8
3=
??<
8.4
77.6
Geir`lbl, XV ^ub)―1~<<6-Xf`bbdst _dsdrvi`r Zri-
hundh oy l A`rdaeiih. Xfd G eir`lbl a`deh `s `b W`esib
Niubty, XV. Xfd a`rdaeiih tiic pelnd `b tfd Zitf ―L‛
^lbh. @t `s piss`oey tfd tf`bbdst rdsdrvi`r tflt fls dvdr
oddb prihundh oy l a`rdaeiih. Xfd rdsdrvi`r pripdrt`ds
lrd g`vdb `b Xloed 81.?7.
Xfd a`deh ir`g`bleey wls hdvdeipd h ib 8:-lnrd spln`bg.
L bdw wdee, W dee ?-6, wl s `gb`tdh `b Kly <010 . Wdee
?-4, l prihundr, ourbdh iut lbh wls nibvdrtdh ti l`r `b-
mdnt`ib `b Kly <07<. Xfdsd wdees, leibg w`tf itfdr wdees,
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81->: ZDX_IEDTK DBG@BDD_@BG FLBHOIIC
e`bd
Zrihun t`ib `k`t e-< <,:0> N e-m--y 2.)<
A`g. 81.>8--^trunturd klp ia ^lbh Bi. 4, Wdst Fd`hdeodrg a`deh,
K^.
lrd sfiwb `b tfd `siplnfius klp `b A`g. 81.>1. Xfd `b-
mdnt`ib lbh prihunt`ib f`stir`ds lrd g`vdb `b A`gs. 81.>7
lbh 81.>6, rdspdnt`vdey. L`r `bmdnt`ib stippd h `b Hdn.
<078 wfdb tf d i`e prihunt`ib rltd hdne`bdh ti tfd dni-
bik`n e`k`t.
^eiss, BD Lkini) 77-70-Wdt Nikoust`ib, Xdrt`lry
_dniv dry. Xfd ^eiss a`deh `s einltdh `b C`kolee Niubty,
BD. Xf d p`eit usdh l wdt nikoust`ib prindss `b l prdv`-iusey wltdraeiihd h rdsdrvi`r. Fdrd, tf d ply `s tf`b lbh
hddp, tfd i`e `s e`gft, tfd v`snis`ty `s eiw, lbh tfd i`e sltu-
XLOED 81.?7--_D^D_QI@_ _INC LBH AET@H Z_IZD_XP
HLXL, GEI_@LBL A@DEH, XV
Hdptf, at
Xf`ncbdss, et
Griss
Bdt
H`p, hdgrdds
Ziris`ty, I/I
Zdrkdlo`e`ty, kh
I`e grlv`ty, ILZ@
_dsdrvi`r tdkpdrlturd, IA
I`e v`snis`ty, np
<<?ºA
6IIA
I`e slturlt`ib lt stlrt, %
<,1::
<:
8
: ti 4
>4
<,:::
?:.6
<<?
7: ti <4:
?4: ti 4::
46.4
rlt`ib lt tfd stlrt ia tfd aeiih wls eiw. X fd rdsdrvi`r prip-
drt`ds lrd g`vdb `b Xloed 81.?6.
Xfd a`rdaeiih stlrtdh `b <% 7 w`tf s`x 6I-lnrd a`vd-spits.Lhh`t`ible wdees wdrd `bneuhdh si tflt `t nivdrdh 01: lnrds
`b `ts a`ble stlgd. Xfd p`eit lrdl `s sfiwb `b A`g. 81.>0.
Xfd `bmdnt`ib lbh prihunt`ib hltl `b tfd 8PGy dlr pdr`ih
ia `ts ipdrlt`ib lrd g`vdb `b A`gs. 8 1.8: lbh 81.8 <, rdspdn-
t`vdey. Odtw ddb Ado. <017 lbh Muey <07< , title l`r `bmdntdh
wls <>,748 V ei1 sna lbh wltdr `bmdntdh wls
<:,6<6 x ei> ooe, g`v`bg l WL_ ia :.70 ooe/<:> sna. Xfd
title i`e prihunt`ib wls 181,7 71 ooe. Xf`s g`vds lb LI_
ia ?<.>~ ei> sna`ooe. Xfd lrdl< swddp oy tfd grdltdr-
tflb->4:ºA zibd wls 4:% . Niko`b`bg w`tf l vdrt`nle
swddp ia ?6%, tfd vieukdtr`n swddp wls ibey <8% .
Lspflet _`hgd, TX HID ) <>:-Dxtrdkdey Q`snius
Xlr, Niko`blt`ib _dv drsd/Airwlrh Nikoust`ib. XfdBirtfwdst Lspflet _`hgd hdpis`t `s einltdh `b birtfdlst
Ttlf, b dlr tfd n`ty ia Qdrble. Xfd a`rdaeiih nibhuntdh
A`g. 81.>4-@bmdnt`ib lbh prihunt`ib f`stiry, Wdst Fd`hd,idrg a`deh,
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XFD_KLE _DNIQD_P 81-><
A`g. 81.>1-esiplnfius klp, bdt i`e, Zitf ―L‛ slbh, Geir`lbl a`deh, XV.
`b tf`s hdpis`t `s `btdrdst`bg odnlusd `t lttdkp tdh ti usd
l niko`blt`ib ia rdvdrsd lbh airwlrh nikoust`ib air tfd
rdnivdry ia i`e arik tlr slbhs. X fd rdsdrvi`r pripdrt`ds
lrd g`vdb `b Xloed 81.?0.
Xfd T.^. HI D nibhuntdh twi a`rdaeiih tdsts b tfd
Lspflet _ `hgd lrdl. Xfd a rst, nibhuntdh `b <074 , hdk-
ibstrltdh tf d adls`o`e ty ia us`bg rdvdrsd nik oust`ib ti
rdnivdr i`e `b tfd tlr slbh. Xfd sdnib h tdstdh l niko`bl-
t`ib ia rdvdrsd nikoust`ib lbh airwlrh nik oust`ib hur-
`bg tfd pdr`ih arik Lug. <077 ti Ado. <076. Xfd einlt`ib
ia tfd tdst s tds lbh wdee lrrlbgdkdbts lrd sfiwb `b A`g.
81.8? . @b oitf tdsts, tf d e bd hr`vd wls ib l sklee lrdl
ia <?:~ 8: at, nivdr`bg ibey :.<< lnrds. @b tfd sdnibh
tdst, sdvdrle dnfi`bgs ia rdvdrsd lbh airwlrh niko ust`ib
pflsd s wdrd bit`ndh `b tfd birtfwdst lrdl, ls sddb arik
tfd tdkpdrltu rd vlr`lt`ibs lt iosdrvlt`ib Wdee ?:> (A`g.
81.8>). Xfd rdvdrsd nikoust`ib pflsd flh lb lrdle swddp
ia 04 % lbh vdrt`nle swddp ia 0 <% , g`v`bg l vieukdtr`n
swddp ia 61%. Xfd dnfi`bg airwlrh nikoust`ib pflsd
flh lb lrdl< swddp ia 74 % lbh vdrt`nle swddp ia 88 % ,
g`v`bg l vieukdtr`n swddp ia ibey >>%. Xfd prihundh
i`e wls ia odttdr qule`ty tflb tfd ir`g`ble o`tukdb, w`tf
tfd piur pi`bt rdhundh arik <8: ti ?4ºA lbh tfd lkiubtia rds`hud eiwdrdh arik 1? ti >4 wt% .
Airdst F `ee, XV L`r Zrihunts-Grddbw`nf) @s> -
Ixygdb-Dbr`nfdh L`r. Xfd Airdst F`ee a`deh `s einltdh
`b Wii h Niubty, XV. Xfd s`gb`a`nlbnd ia tfd a`deh tdst
e`ds `b tfd usd ia ixygdb-dbr`nfdh l`r air tfd a`rdaeiih.
Xfd rdsdrvi`r pripdrt`ds lrd g`vdb `b Xloed 81.>:.
Xfd a`deh wls ib pr`klry prihunt`ib `b <018. L`r `b-
mdnt`ib stlrtdh `b <071 . Ibd ia tfd l`r `bmdntirs wls
sw`tnfdh ti ixygdb-dbr`nfdh l`r `b <06:. Xfd tdst s`td `s
sfiwb `b A`g. 81.88. Ls sddb `b A`g. 81.84, hur`bg l
?-ydlr pdr`ih, tfd ixygdb nibndb trlt`ib `b tfd `bmdntdh
gls rlbgdh arik ? < ti 0:%. Xfd tdst sfiwdh tflt dssdb-
t`leey purd ixygdb nlb od flbhedh lbh `bmdntdh sladey `bl typ`nle i`ea`deh dbv`ribkdbt. ^firt ia lby hda`b`t`vd nik -
plr`sib, tfd tdst ibey f`btdh tflt us`bg dbr`nfdh l`r k`gft
prihund i`e alstdr tflb us`bg l`r ibey.
Xfdrkle Zripdrt`ds
Ibey sikd sdedntdh tfdrkle pripdrt`ds ia tfd rinc/aeu`h
systdks dbniubtdrdh `b tfd tfdrkle rdni vdry primdnts w`ee
od prdsdbtdh or`daey. L kird nikpedtd nikp`elt`ib ia
tloeds lbh a`gurds fls oddb `bneuhdh `b Lppdbh`x O ia
_da. <48.
I`e Q`snis`t`ds
Xfd v`snis`ty-tdkpdrlturd rdelt`ibsf`ps ai r rdprdsdbtlt`vd
fdlvy-i`e hdpis`ts l rd sfiwb `b A`g.81.81. I`e v`snis`-
t`ds sfiueh od kdlsurdh dxpdr`kdbtleey. @b tfd losdbnd
ia dxpdr`kdbtle hltl, tfd v`snis`t`ds nlb od dst`kltdh oy
nflrts (A`g. 81.87 ti 81.80)‖44-‖47 lbh dqult`ibs. @s6
Odggs lbh _io`bsib @s6 suggd stdh tfd aieeiw`bg dq ul-
t`ibs air dst`klt`bg v`snis`t`ds ia e`vd i`es. Hdlh-i`e v`s-
nis`ty `s a`rst nlenueltdh=
&,~;ei*-e, . . . . . . . . . . . . .(78)
wfd rd pE ih qules tfd v`snis`ty ia hdlh i`e (gls-ardd i`e)
lt X, np.
py~-@.<1>, . . . . . . . . . . . . . . . . . . . . . . . . . . (74)
P; eI‐, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ..(71)
lbh
];>.:> ?8-:.:? :?> yi. . . . . . . . . . . .(77)
wfdrd y: dqu les tfd i`e grlv`ty, ― LZ@, lbh X`s tfd tdk-
pdrlturd, ―A. E`vd-i`e v`snis`ty `s nlenueltdh bdxt.
p;& ,,hO, . . . . . . . . . . . . . . . . . . (76)
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81->? ZDX_IEDTK DBG@BDD_@BG FLBHOIIC
IeI _eLBL ZI@W ‖L‐ TB<<
::< ‖ L@_ @BTNeeI B Q^ @ePD
:
=
A`g. 81.>7-GI_ lbh l`r `bmdnt`ib f`stiry, Geir`lbl a`deh.
IEI_@LBL ZIeF ‖8 TB@X
:<< Z_II TN@@IB Q@ <eKt
A`g. 81.>6-:<< prihunt`ib f`stiry, Geir`lbl a`deh.
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XFD_KL E _DNIQD_ P 81->>
ZFL^, .
U
: Z_IHTN@ BG WDEE L @ BM DNX@ IB WDEE + H_P FIED
A`g. 81.>0-^eiss ub`t, BD.
XLOED 81.?1--_D^D_QI@_ _INC LBH AET@H Z_IZD_XP
HLXL, ^EI^^ A@DEH, BD
Hdptf, at
Bdt tf`ncbdss, at
Ziris`ty, %
Zdrkdlo`e`ty, kh
I`e grlv`ty, ILZ@
_dsdrvi`r tdkpdrlturd, ' A
_dsdrvi`r prdssurd, ps`g
I`e v`snis`ty lt ?::ºA, np
I`e slturlt`ib le stlrt, I/i
1,?::
<8.>
<0.>
<0<
>6.:
?::
?,?78
:.6
?iti 8:
Le_eWLXD_ _LX@ I ^NAe OOE
JXL@ _ @ BM . Z_D^ . Z @
rbi-br e '
@
- -`
WLXD_ @ BM . _Le D DO@ , HLP8nkki
b‛
. L@_ @BM ._LXD KKNAeHLP8o
:‐a
<017 <%6 <010 <07: <07< <07?
A`g. 81.8:-@bmdnt ib f`stiry, ^eiss a`deh NIAN LW p`eit
WLXD_ Z_II. _LXD DOe r HLP
@@ - E -
Z_IH. _LXD KNAe HLP
<017 <016 eW0 <07: <07<
A`g. 81.8<-Zrihunt`ib f`stiry, ^eiss a`deh NIAN LW p`eit
XLOED 81.?0-_D^D_QI@_ _INC LBH AET@H Z_IZD_X P
HLXL, L^ZFLEX _@HGD A@DEH, TX
Hdptf, at
Bdt tf`ncbdss, ae
Ziris`ty, 0<:
Zdrkdlo`e`ty, kh
^lturltdh
Dxtrlntdh
I`e grlv`ty, ILZ@
_dsdrvi`r tdkpdrlturd, A
I`e v`snis`ty lt 1:ºA, Np
Ziur pi`bt, IA^lturlt`ibs lt stlrt, %
I`e
Wltdr
>4:
<>.<
><.<
l4
174
<8
4?
2 < iii iii
<8:
14
?.8
A`g. 81.8?-EDXN a`deh s`td, Lspflet _`hgd hdpis`t, TX.
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81->8 ZDX_IEDTK DBG@BDD_@BG FLBHOII C
XLOED 81.>:-_D^D_QI@_ _INC LBH AET@H Z_IZD_XP
HLXL, AI _D^X F@EE A@DEH, XV
Hdptf, at
Bdt tf`ncbdss, at
Ziris`ty, I/i
Zdrkdlo`e`ty, kh
I`e grlv`ty, ILZ@_dsdrvi`r tdkpdrlturd, IA
I`e v`snis`ty lt <64IA, np
^lturlt`ibs lt stlrt, %
I`e
Wltdr
8,6::
<4
?7.7
1?1
<:<64
<,::?
18
>1
A`g. 81.8>-Klx`kuk tdkpdrlturd vs. t`kd, Wdet ?:>, Lspflet
_`hgd hdpis`t.
,-- ZDLND _@QD_
<EEIPHK@B^XD_ ‐
.@@D^Db‛Ie‛ @DK@‐Ne,*X@,@@D
A`g. 81.81-Q`snis`ty/tdkpdrlturd rdelt`ibsf`ps air rdprdsdbtl-
e`vd fdlvy i`e hdpis`ts.
wfdrd
L; <:.7<4J, + <::) -I^‐~, . . . . . . . . . . . . . . . 70)
A`g. 81.88-Airdst F`ee a`deh, XV.
O;4.88(_,+<4:)-:.>>6, . . . . . . . . (6:)
lbh _, =s tfd sieut`ib g ls/i`e rlt`i, sna/^XO .
_delt`vd Zdrkdlo`e`ty Nurvds
_delt`vd pdrkdlo`e`ty hltl sfiueh od hdtdrk`bdh dx-
pdr`kdbtleey. @b tfd losdbnd ia dxpdr`kdbtle hltl, tfd aie-eiw`bg dqult`ibs kly od usdh air riugf dst`klt`ib.
Lnnirh`bg ti Oriics lbh Nirdy, <40
c, ;(^,,,*)4, . . . . . . . . . . . . . . . . . . (6<)
c,;(<-^,*)?(<-^w*?), . . . , . . . . . . .(6?)
s *;w
^W -^`w
. . . . . . . . . . . . . . . . . . . . . 6>)< -@^`,
A`g. 81.84-@bmdnt`ib f`stiry, Wdee >?, Airdst F`ee a`deh.
wfdrd ^`, `s tfd `rrdhun`oed wltdr slturlt`ib, pdrndbt.
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XFD _KLE _DNN @QD_P
LX <::. r. f LXPI^NWEb@N Z_E^^T_E
tik
<:::
1::
1::y ,iib 8::
g <::
3 ?::
==M <:: AI_PTEL = LO^IETXD v@snis@XP LX e::.A (Npe* ------?7,0,8?:
1: --- DVX\LZIELXDH fi-ee)
1:
.:< @ @ <
@I @>
N_‛HD?::<E N_?~―@XP & @. *X‛CZA ‖@UIBI LXzw‛D_ZN Z_&―_D
1: 11
A`g. 81.87-Hdlh i`e v`snis`ty.
ei8
<:
A`g. 81.86-Tb`vdrsle tdkpdrlturd/v`snis`ty nflrt.
81->4
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81->1 ZDX_IEDTK DBG@BDD_@BG FLBHOIIC
.
1
7A@B: XFD GL^-^LXT _8XDH Q@^NI^@XP IA
1L N_‛ID I@E ―Lv@BG L ^IETX@IB GL^/I@E _LX@I IA 1::
0NT AX @ OOE LB: HDLI I@E Q@ NI^<XP IA @.4: NZ. LEE
LX XFD ^LKD XDKZD_LXT_D.
Z_INDIT_D= EINLXD <.4: NZ IB WD HDLI I@E Q@^NI @XP
< ^NLED (L6^N@^^L < LB: GI TZ QD_X@NLEEP XI XFD 1::
GL^/I@E _LX@I E@BD. XFDB GI EDAX KI_@]IBXLEEP XI
< _DLI XFD LB^ WD_. :.41 NZ. IB XFD GL^-^LXT_LXDH
I@E Q@^NI^@XP ^NLED @ I_I@BLXD @
A`g. 81.80-E`vd i`e v`snis`ty.
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rFD_KLE _DNIQD_P 81->7
Lnnirh`bg ti ^ikdrtib , < 1: air ubnibsie`hltdh slbh,
^m,;:.?<<+?.:x<:-8X+<.<x<:-1X?, Y.Y.. (68)
wfdrd X `s tfd tdkpdrltu rd, ―A.
Xfd daadnt ia tdkpdrltu rd ib `rrdhun`oed wltdr slturl-
t`ib lbh rdelt`vd pdrkdlo`e`ty ia ubnibsie`hltdh slbhs flsoddb stuh`dh oy Zistib dt le <1‐ ikd ia tfd`r rdsuets lrd
g`vdb `b A`gs. 81.4: tfriugf 81.4? . Xfd daadnt ia tdk-
pdrlturd ib rdelt`vd lbh losieutd pdrkdlo`e`t`ds ia nib-
si e`hltdh slbhstibds fls oddb stuh`dh oy Wd`borlbht dt
le ‖1? ^ik d ia tfd`r rdsu ets lrd g`vdb `b A`gs. 8 1.4>
tfriugf 81.41.
ZQ Nikprdss`o`e`ty
Xfd nikprdss`o`e`ty ia ubnibsie`hltdh, Lrcis`n slbhs wls
kdlsurdh oy ^lwlo`b` dt le. ‖1> A`g. 81.47 sfiws tflt tfd
daadnt`vd ZQ nikprdss`o`e`ty e`ds `b tfd rlbgd odtwddb
<:d8 lbh <:k> ps`-e, loiut ? ti > irhdrs ia klgb`tuhd
f`gfdr tflb tfd birkleey lnndpt dh a`gurd i a @I -1 ps` -@
air nibsie`hltdh slbhstibds. @b A`g. 81.47, pri `s tfd ti-
tle ivdrourhdb prdssurd, ps`, lbh pZ `s tfd pird prdssurd,
ps`.
im
#) eii @s: ?:: >::
XDPW@L@T_D,ºA
A`g. 81.4:-Daadnt ia tdkpdrl turd ib `rrdhun `oed wltdr slturl-t`ib, Fiustib slbh, lbh blturle slbh.
Xfdrkle Nibhunt`v`ty
Xfdrkle odflv`ir ia ubnibsie`hltdh i`e slbhs wls stuh`dh
oy ^ikdrtib dt le C+M A`g. 81.46 sfiws fiw tfdrkle
nibhunt`v`ty ia Cdrb _`vdr i`e slbhs vlr`ds w`tf or`bd
slturlt`ib.
Qlpir`zlt`ib Dqu`e`or`uk
Qlpir`zlt`ib dqu`e`or`uk ia lb i`e arlnt`ib `s hdsnr`odh
oy tfd dqu`e`or`uk vlpir`zlt`ib nibstlbt, C, wf`nf `s hd-
a`bdh ls
8:
>:
?:
s=
NL:I
: @ @ @ @
C; x, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .J4)V
4: <:: @^: ?:: ?1n >::
XD@M~ZDZLXT_D,~A
wfd rd y `s tfd kie arlnt`ib `b vlpir pflsd lbh x `s tfd
kie arlnt`ib `b e`qu`h pflsd.
A`g. 81.4<-Daadnt ia tdkpdrlturd ib _I^, blturle slbh.
Zidttklbb lbh Klyelbh @14 `b <0 80 puoe`sfdh l sdr`ds
ia nflrts ib dqu`e`or`uk nibstlbts ia vlr`ius i`e arlnt`ibs
w`tf birkle oi`e`bg p i`bts ia >::‛ A, 8I I‛ A, dtn., up ti<,III‛ A. Xi `eeustrltd fiw C vleuds vlry w`tf tdkpdrl-
turd lbh prdssurd, tfd a`gurd air birkle oi`e`bg
pi`bt;4II‛ A `s sfiwb `b A`g. 81.40.
Ki rd rdndbtey, E.dd da le <11prdsdbtdh dqu`e`or`uk nib-stlbts ia i`e arlnt`ibs w`tf <::ºA oi`e`bg rlbgds. Air dx-
lkped, Arlnt`ib < fls tfd oi e`bg rlbgd up ti >II ‛ A,
Arlnt`ib ? oi`e`bg odtwddb >:: lbh 8::‛ A, lbh Arlnt`ib
1 oi`e bg loivd 7::ºA. A`gs. 81.1: lbh 81.1< sfiw tfd
daadnts ia prdssurd lbh tdkpdrltu rd, rdspdnt`vdey. ib tfd
C vleuds air tfdsd i`e arlnt`ibs ls wdee ls B ?, NF8, lbh
ni*.
WLXD_
Nfdk`nle C`bdt`ns
Nfdk`nle rdlnt`ibs tlc`bg pelnd `b lb `b-s`tu nikoust`ib
prindss lrd nibs`hdrdh ti alee `bti tfrdd typds= (<) eiw-
tdkpdrltu rd ix`hlt`ib, (?) aude hdpis`t`ib ir nicd airkl-
t`ib, lbh (>) nikoust`ib. Xfd c`bdt`n hltl ia tfdsd tfrddtypds ia rdlnt`ibs rdpirtdh oy vlr`ius lutfi rs flvd oddb
sukkl r`zdh `b tfd plpdr oy Alss`f` dt le <1‐ lbh w`ee bit
od rdprihundh fdrd.
: ?: 8: 1: 6:
-@<::
WLXD_ ^LXT_LX@IB, ‖E
A`g. 81.4?-Wltdr lbh i`e rdelt`vd pdrkdlo`e`ty lt aiur tdkpdrl-
turds, Fiustib slbh, 6:-np :<<.
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81->6
:<<
1: eii <8: <6:
XDKZD_LXT_D. ‖A
A`g. 81.4>-Daadnt ia tdkpdrlturd ib `rrdhun`oed wltdr slturl-
t`ib, slbhstibd nirds.
:=1: <:: <8: <6:
XDKZD_LXT_D. ‖A
A`g. 81.48-Daadnt ia tdkpdrlturd ib _I^, slbhstibd nirds.
ZDX_IEDTK DBG@BDD_@BG FLBHOI IC
@ 8. @
zsii86
4.
?::: cz 4.
3 oW.1
sn ?0
3 @^II-
`X`
F
?e `
<:::
@ L<
4‐ `
4iE---e: <:: <8: <6:
XDKZD_LXT_D.
A`g. 81.41-Daadnt ia tdkpdrlturd ib losieutd pdrkdlo`e`ty,
slbhstibd nirds.
ti*
DAADNX@QD Z``D^^T_D, Z^@
A`g. 81.47-Daadnt vd ZQ nikprdss`o`e`ty, ubnibsie`hltdh Lrcis`n
i`e slbh.
ii- - --~?: 8: 1: 1 <::
WLXD_ ^LXT_LX@IB,
A`g. 81.44-Wltdr lbh i`e rdelt`vd pdrkdlo`e`ty lt twi tdkpdrl-
turds, Nird 8, Oi`sd slbhstibd.
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XFD_KLE _DNIQD_P
fsv .:.9>4-r.>:~*sw +
ZI_I^@XP _LBGD^=
l :.?6-:.>: -
: :.>< -:.>> ----
L :.>8 -:.>7 --
O_@BD ^LXT_LX@IB, ^W
A`g. 81.41-Xfdrkle nibhunt`v`ty ia Cdrb _`vdr i`e slbhs. A`g. 81.40-Dqu`e`or`uk vlpir`zlt`ib nibstlbt, birkle oi`e`bg
pi`bt-4::ºA.
<::: <4:: ?::: ?4:: >::: Zrcsh
< @
Z_DH@NXDH ., ., .
DVZD_@KDBXLE :, *, :
A_LNXIB 1
L-L-
@ L @E
&/
4iw eii:: @^NNI zii::
p(fZie
A`g. 81.1:-Daadnt ia prdssurd ib dqu`e`or`uk C vleuds air Nruhd
L lt ?1:%.
8::
@I ‖-
4:: 1:: 7:: X(IA)@ @ r
n
@-
y :.< -
:.:< -
: ni? -
: nk c b/ < , < @
x: ?4: >le >4: 8::
X(‖N)
A`g. 81.1<-Daadnt ia tdkpdrlturd ib dqu`e`or`uk C vleuds ia
Nruhd 6 lt <,4<8.7 ps`l.
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81 - 8: ZDX_IEDTKDBG@BDD_@BG FLBHOIIC
XLOED81.><-^LXT_LXDH^XDLKXLOED
^pdn`a`n Qieukd, nu ateeok Dbtflepy. Otueeok
Losieutd Zrdssurd, Xdk pdrlturd ^lturltdh
:.:6614<8.101
4:.:
<::.:
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?::.:
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417 . <0
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:.:<660 <.4?>68
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:.:?110 :.<>1:>
:.:?70: :.<<?67
:.:?0>6 :.:0<7?
:.:4:76 :.::::: :.:4:76
^tdlk Zripdrt`ds
Lb loordv`ltdh stdlk tloed‐16 `s g`vdb `b Xloed 81.><.
Bikdbnelturd
l ; l`r rdqu`rdkdbt, <:1, sna/lnrd-at
L ; fdltdh lrdl lt t`kd t, sq at, ir
qulbt`t`ds hda`bdh oy Dqs. 0 lbh 70
L‐ ; qulbt`ty hda`bdh oy Dq. <>
O ; qulbt`t`ds hda`bdh oy Dqs. <: lbh 6:
O‐ ; qulbt`ty hda`bdh oy Dq. <8
N, ; aude nibtdbt, eok`nu at
N,, ; fdlt nlpln`ty ia i`e, Otu/eok-―A, ir
nibndbtrlt`ib ia i`e, eok kie`nu at
N, ; fdlt nlpln`ty ia rinc, Otu`eok-―A
N,, ; fdlt nlpln`ty ia stdlk, Otu`eok-―AN,,. ; fdlt nlpln`ty ia wltdr, Otu`eok-―A
Ni? ; nibndbtrlt`ib ia ixygdb, @ok kie`nu at
N, ; qulbt`ty hda`bdh oy Dqs. 46 lbh 1:
N? ; qulbt`ty hda`bdh oy Dqs. 40 lbh 1<
H ; hdptf, at
D ; lnt`vlt`ib dbdrgy , Otu`eok k ie
Df ; tfdrkle (f dlt) daa`n`dbny, arlnt`ib
Di? ; ixygdb ut`e`zlt`ib daa`n`dbny, arlnt`ib
D, ; ivdrlee i`e rdnivdry
D_T ; rdnivdry daa`n`dbny `b tfd ubourbdh
rdg`ib, arlnt`ib
Df ; vieukdtr`n swddp daa`n`dbny ia tfd
ourb`bg aribt, arlnt`iba‖,, ; stdlk qule`ty lt tfd odg`bb`bg ia tfd
p`pd sdgkdbt, arlnt`ib
^lturltdh
Qlpir,
:.<:>:4
Qg
>,>:?.8?1.700
6.4<8:
:.:64::
8.8><:
>.:<>0
?.?67>
<,68><7
<.48?78
<.<1:04
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:.71074
:.14441
:.41601
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:.88401
:.>1?84
:.>:<76
:.?4484:.?<61<
:.<66><
:.<1?7?
:.<8:71
:.<?<<:
^lturltdh
E`qu`h,
F,
Dvlpirltd,
E.
:.:::> <,:74.4<6:.<7 07:.>
?4:.? 0?>.0
?06.4 666.1
>>:.1 61>.8
>44.4 68?.6
>71.< 6?4.:
>08. : 6:6. 0
8?8.? 76:.8
880.4 744.<
87<.7 7>?.:
80<.1 7<:.?
4:0.6 160.1
4?1.7 110.7
48?.1 14:.8
47<.0 1<>.:
406. 6 471.4
1?8.? 48:.>186.4 4:>.6
17?.< 811.?
104.4 8?1.7
7<0.: >68.6
788.4 >>7.1
77:.7 ?64.<
6:<.6 ?<6.8
0:1.: :.:
^lturltdh
Qlpir,
F,
<,:74.4t,<4:.4
<,<78.e
<,<67.?
<,<08.`
<,<06.>
<,?:<.e
<,?:?.g
<,?:8.1
<,?:8.7
<,?:>.7
<,?:<.6
<,<00.8
<,<01.8
<,<0?.g
<,<68.6
<,<74.>
<,<18.4<,<4?.>
<,<>6.>
<,<??.?
<.<:>.7
<,:6?.I
<.:44.6
<,:?:.>
0:1.:
a.Pas? stdlk qule`ty lt tfd dbh ia tfd p`pd
sdgkdbt, arlnt`ib
a(t) ; trlbs`dbt fdlt nibhunt`ib t`kd aubnt`ib
air dlrtf, h`kdbs`ibedss
A l: ; LI_
A,., ; NI]/NI rlt`i `b prihundh gls
A FN ; ltik`n F/N rlt`i
A, ; rlt`i ia st`kueltdh ti ubst`kueltdh
prihunt`v`ty `bh`nds, h`kdbs`ibedss
A,9, ; stdlk/i`e rlt`i, ^XO`^XO
A KLI, title prihundh WI_. ^XO`^XO
f ; ply tf`ncbdss, at, ir nibvdnt`ib fdlt
trlbsadr nidaa`n`dbt, Otu/fr-sq at-―A
f‐ ; nibvdnt`ib fdlt trlbsadr nidaa`n`dbt
olsdh ib `bsuelt ib iuts`hd su ralnd,Otuefr-sq at-―A
fa ; nb tflepy ia e`qu`h w ltdr lt X loivd
>?‛A, Otu`eok
f, ; title tf`ncbdss ia lee slbhs, at
FI, ; dbtflepy ia i`e lbh gls Otu`eok
F,, ; dbtflepy ia wltdr nlrr`dh oy i`e olsdh
ib l ^XO ia i`e, Otu/^ XO i`e
F W_ ; dbtflepy ia wltdr lt rdsdrvi`r tdkpdrl-
turd, Otu/eok
F,,, ; dbtflepy ia wltdr lt stdlk tdkpdrl-
turd, Otu/eok
@T@ - nukuelt`vd l`r `bmdnt`ib, <:‐ sna
`, ; stdlk `bmdnt`ib rltd, O/H@ ; rlh`lt`ib fdlt trlbsadr nidaa`n`dbt,
Otuefr-sq at-―A
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XFD_KLE _DNIQD_P 81-8<
@‐ ; rlh`lt`ib fdlt trlbsadr nidaa`n`dbt olsdh
ib `bsuelt ib iuts`hd suralnd. Otu`fr-
sq at-―A
M, ; ubst`kueltdh (nieh) prihunt`v`ty @bhdx,
^XO`H-ps`
c ; losieutd pdrkdlo`e`ty, khc‐ ; prd-dxpibdbt`le alntir
c,,,., ; tfdrkle nibhunt`v`ty ia tfd nls`bg kl-
tdr`le, Otu/fr-sq at-―A
c,@N.Z; tfdrkle nibhunt`v`ty ia tfd ndkdbt.
Otu/fr-at-―A
c,,a ; tfdrkle nibhunt`v`ty ia tfd airklt`ib,
Otu/H-at-―A
c,,3,, ; tfdrkle nibhunt`v`ty ia `bsuelt ib kl-
tdr`le, Otu`fr-at-―A
c fi ; ivdrourhdb tfdrkle nibhun`t`v`ty,
Otu/fr-at-―A
c,,, ; rdelt`vd pdrkdlo`e`ty ti i`e, arlnt`ib
c,,,. ; rdelt`vd pdrkdlo`e`ty ti wltdr, arlnt`ib
C ; dqu`e`or`uk vlpir`zlt`ib nibstlbt
E ; p`pd edbgtf, at
E,, ; eltdbt fdlt ia stdlk, Otu`eok
E,e ; eltdbt fdlt ia vlpir`zlt`ib lt tip ia
`btdrvle, Otu`eok
E,.9 ; eltdbt fdlt ia vlpir`zlt`ib lt oittik i a
`btdrvle, Otu`eok
k.U,, ; title klss ia stdlk `bmdntdh, @ok
K ; vieukdtr`n fdlt nlpln`ty. Otu`nu at-―A
B ; II@Z, ooe
B, ; bukodr ia slbhs
B.,,; i`e `b pelnd lt stlrt ia primdnt, ooe
LB.,, ; nukuelt`vd `bnrdkdbtle i`e prihunt`ib,
ooe
ZI ; stlt`n airklt`ib prdssurd lt dxtdrble
rlh`us, ps`l
Z@, ; pird prdssurd, ps`
Z,~ ; slturltdh vlpir prdssurd ia wltdr lt X,
ps`l
Z ,i ; title ivdrourhdb prdssurd, ps`
p,,, ; oittikfied prdssurd, ps`l
p / ; prdssurd lt tip ia `btdrvle, ps`l
p? ; prdssurd l t oittik i a `btdrvle, ps`l
Lp ; ar nt`ible prdssurd hrip ivdr `btdrvle,
ps`l8: ; i`e h`spelndkdbt rltd, O/H
qiN. ; nieh i`e prihunt`ib rltd, O/H
qbe r fit i`e prihunt`ib rltd, O/H
\`,, ; fdlt rdkl`b`bg `b fdltdh zibd, Otu
\3, ; title fdlt `bmdnt ib, Otu
\r` ; fdlt `bmdnt`ib rltd, Otu`fr
\,., ; fdlt eiss leibg tfd sdgkdbt, Otu`fr
\, ; fdlt rdkivle rltd lt t`kd t. Otu`H
rh ; rlh`us ti ndkdbt/airklt`ib `btdralnd, at
r5.3 ; `bs`hd rlh`us ia nls`bg. at
rnnr ; iuts`hd rlh`us ia nls`bg. at
rn, ; dxtdrble rlh`us, at
ra, ; rlh`us ia rdg`ib ir`g`bleey fdltdh . at
r `b ; iuts`hd rlh`us ia `bsuelt ib suralnd, at
rrr ; `bs`hd rlh`us ia tuo`bg, at
r/,< ; iuts`hd rlh`us ia p`pd. tt
r,,. ; wdee rlh`us, at
_ ; gls nibstlbt
_,, ; sieut`ib G I_. sn a/^XO
_, ; title prihundh GI_. sna/^XO
^,s ; gls slturlt`ib, arlnt`ib^`r, ; `rrdhun`oed i`e slturlt`ib, arlnt`ib
^3,,. ; `rrdhun`oed wltdr slturlt`ib. pdrndbt
^,, ; i`e slturlt`ib lt stlrt, arlnt`ib
^,3 ; `b t`le i e slturlt`ib, arlnt`ib
^,,,3 ; `b`t le wltd r slturlt`ib, arlnt`ib
^,,.* ; birkle`zdh wltdr slturlt`ib, arlnt`ib
t ; t`kd s`bnd `bmdnt ib, fiurs
tn ; nr`t`nle t`kd, fiurs
ag ; h`kdbs`ibedss t`kd
t3 ; t`kd ia `bmdnt`ib air tfd nurrdbt nyned,
hlys
X ; lvdrlgd tdkpdrlturd ia tfd fdltdh
rdg`ib, rr,. 5 r5 rf , lt lby t`kd t,―A
X,, ; ltkispfdr`n tdkpdrlturd, ―A
Xh ; tdkpdrlturd lt ndkdbt/airklt`ib
`btdralnd, ―A
X,.3 ; tdkpdrlturd lt nls`bg `bs`hd
suralnd, ―A
Xm3 ; `b`t le airklt`ib tdk pdrlturd, ―A
@$ ; tdkpdrltu rd ia aeu`h, ―A
X3,,m ; `bmdnt`ib tdkpdrlturd, ―A
X_ ; ir`g`ble rdsdrvi`r tdkp drlturd, ―A
X, ; stdlk tdkpdrlturd, ―A
X,s, ; airklt`ib tdkpdrltu rd lt griubh
suralnd, ―A
u n: ; ivdrlee fdl t trlbsadr nidaa`n`dbt olsdh
ib iuts`hd nls`bg suralnd, Otu`fr-sq
a`-―A
T,` ; ivdrlee fdlt trlbsadr nidaa`n`dbt olsdh
ib `bs`hd rlh`us ia p`pd ir tuo`bg,
Otu`fr-sq at-―A
ur, ; ivdrlee fdlt trlbsadr nidaa`n`dbt olsdh
ib iuts`hd tuo`bg suralnd, Otu/H-sq
at-―A
v t; spdn`a`n vieukd ia title aeu`h, nu
at/eok
v,,. ; w`bh vdein`ty, k`ed/frA‐_ ; aude ourbdh, ooe
Q,., Q, ; ub`t sieut`ib air nikpibd bt nibhunt`ib
prioedks `b tfd r lbh z h`rdnt`ibs*
v,, QX ; lvdrlgd vleuds ia Q, lbh Q3 air
I5r5rf
w ; Lrrfdb`us rdlnt`ib rltd
K‐s ; klss rltd ia stdlk, @ok/fr
x ; kied arlnt`ib `b e`qu`h pflsd
V ; qulbt`ty hda`bdh oy Dq. 11
v ; kied arlnt`ib `b vlpir p flsd
` ; qulbt`ty hda`bdh oy Dq. 14
(P ; tfdrkle h`aaus`v`ty, sq at/H
\P,2 ivdrourbhdb tfdrkle h`aaus`v`ty, sq
at/H
‖Xfdsd sykoies flvd bi pfys`nle nibbitlt`ib Xfdy lrd s`kpey kltfdkleenle sykoies
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81-8? ZDX_IEDTK DBG@BDD_@BG FLBHOIIC
: ; hukky vlr`loed `b Dq. ?7
1 ; dbdrgy rdkivdh w`tf tfd prihundh
aeu`hs. h`kdbs`ibedss
6 ; h`p lbged, hdgrdds
Z : ; i e v`snis`ty, np
cEiN; nieh i`e v`snis`ty, npp,,h ; v`snis`ty ia hdlh i`e (gls-ardd i`e) lt X,
nZpif ; fit I`e Q`^NI ^`ty np
ZiZ .Z,. ; hdbs`ty ia i`e, rinc grl`b, lbh wltdr ,
eok`nu at
8 ; piris`ty, arlnt`ib
A,, (`b k>`k>);<6 .788+:.::8717H-:.<110> f
-:.606<8c-:.40<4~E,, - <8.70^,
-:.:::0717cf. . (16)ZI
N,b (`b cg/k >, ; - @ .0??? + :.<>7104f + <.64:?0c
+>4.7?>,, +:.:<?667cf/*:
-:.::00>:- <.:888pE.. . . . (10)
Cdy Dqult`ibs `b ^@ Tb`ts ?Ann+ < + AFN
ANN + <- nk
ex;? 2
. . . . . . . (7:)
f;7.<14v,.:~1/r`b:.8. . . . . . . (>) :.:<771(<?+AFn)D,~
?
p?;p@ +7.6<1x<:~r?(v,, -v,,)%
+0.6:1~eI-~D-Lp. . . . . . . (?:)&‖@
A,,,,; \,hLfh(^ ,3 -smu) . . . . (>:)
l (`b sth k>/k>); <:6.>41+?.74>17/~ +??0.877>,,
+<1.:7>c. . . . (7<)
A,,, ;
S 8s,-=3imDE‐oJ, @D,,f)D_u. . . . . . . . . . . . . . . . . . . . . . . . . . . . (7?)
I.I::48?7cc,,f
8in ; ( p , - p , , , ) . . ( 8 ?)
pEin.bEr <<<
P;I.?1>0S
:.8?7>, - : . ::88?0f
:.?4
2 < , . 18)
wfdrd
x;`&i?
W,888M<(<-~) ‐
A,, (`b k>/k>); e` -:.:<<?4>+:.::::0 <<7:
+:.:::4<6:f-:.:77746
A,, (`b sth k>/k>); >6?:.8+<?.07f+<0? .?:c
wfdrd
. . . . . . . . . . . . . . . . . . . . . . . . . . . . (7>)
l `s `b sth k>/k>,
L `s `b k?,
N, `s `b cg/k >,
H `s `b k,
A,, `s `b sth k> /k>,
A,, `s `b k>/k>,
A Mi* `s `b k>/k>,
f `s `b cM/k? .f*C (Dqs. ? tfriugf 8),f `s `b k,
@,~ `s `b sth k>,
c `s `b pk?,
B, `s `b k>,
p‐s lrd `b cZl,
qin `s `b k‐/h,
\, `s `b k>/f,.
rmb @^ k k,
re` @^ k k,
t `s `b f.
+:.::::>817~ t-:.4<?:J,
)Z : /
‖>v, `s `b k /cg,
v, `s `b cg/f,
ws `s `b cgef,p. `s `b Zl.s, lbh
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . (17) pit `s `b Zl.s.
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81-8>FD_KLE _DNIQD_P
_dadrdbnds
@
?
>
8
4
0
@I
@@
@?
<>.
<8.
<4.
<1
<7.
<6
<0
?:.
?<.
??.
?>.
?8.
?4.
?1.
?7.
?6.
?0.
>:.
><.
>?.
Alriuq Lf. ^K.= ―^tdlk @bmdnt ib,‛ ^dwb&ev ubne Xdrrrlr)
I`e _rrw~db Zrindssds. @btdrstltd I`e Nikplnt Nikk`ss`ib, Ic-
elfikl N`ty (^dpt. <078) Nflp. 8.
KnBd`e. M.^. lbh Kiss. M.X.= ―I`e _dnivdry oy @b-^`tu Nik -
oust`ib.‛ Zdr. Dmtx. (Muey <0.46) O-?0-O -8?.Odrry. Q.M. Mr. lbh Zlrr`sf. H._.= ―L Xfdirdt`nle Lbleys`s ia
Fdlt Aeiw `b _dvdrsd Nikoust`ib,‛ Xwbs., L@KD (<01:) ?<0.
<?8-><.
H`dtz, H.B. lbh Wd`mhdkl. M.= ―_dvdrsd Nikoust`ib ^dehik
Adls`oed.‛ Zrihundr.s Kibrf`~ (Kly <016) @I.
^k`tf. A .W. lbh Zdrc`bs, X.C.= ―Dxpdr`kdbtle lbh Bukdr`nle
^`kuelt`ib ^tuh`ds ia tfd Wdt Nikoust`ib _dnivdry Zrindss.‛
M. Nhb. Zl. Xunf. (Muey-^d pt. <07>) 88-48.
^tivlee. ^.E.= ―_dnivdry ia I`e arik Hdpedtdh ^lbhs oy Kdlbs
ia Hry ^tdlk,‛ I`e W ddc/y (Lug. <>, <0>8) <7-?8.
Grlbt. O._. lbh ^zllz. ^.D.= ―Hdvdeipkdbt ia Tbhdrgriubh Fdlt
Wlvd air I`e _dnivdry.‛ Xrlk., L@KD (<048) ?:<. <:6-<6.
Cufb. N.^. lbh Cinf, _.E.. ―@b-^`tu Nikoust`ib-Bdwdst
Kdtfih ia @bnrdls`bg I`e _dnivdry,‛ I`e lbh Grrs M. (Lug. @I,
<04>) 4?, 0?-01, <<>. <<8.
Xrlbtflk. M.N. lbh Klrx. M.W .= ―Odeelky A`deh Xdsts= I`e arik
Xlr oy Niubtdraeiw Tbhdrgriubh Ourb`bg.‛ M. Zdr. Xdnf. (Mlb.<011) <:0-<4= Xrk~.. L@KD. ?>7.
G`ust`. E.D.= ―N^Q Klcds ^tdlk ^ilc Wirc `b Qdbdzudel A`deh,‛
I`e kh Gls <. (Biv. 8, <078) 66-0>.
^ticds. H.H. lbh Hisnfdr. X.K.= ―^fdee Klcds l ^unndss ia
^tdlk Aeiih lt Pirol Etbhl.‛ Ir/ n`bh Gls M. (^dpt. ?. <078)
7<-71.
H`dtz, H.B.= ―Wdt Tbhdrgriubh Nikoust`ib, ^tltd-ia-tfd-Lrt,‛
M. Znmr. Xwf. (Kly <07:) 1:4-<7= Xrlk., L@KD. ?80.
―^tdlk Hik`bltds Dbflbndh I`e _dnivdry.‛ I`e nruh Gw M. (Lpr`e
4. <06?) <>0-40.
―Dxpdrts Lssdss ^tltus lbh Iuteiic air Xfdrkle, Nfdk`nle. lbh
NI< K`sn`oed Aeiih`bg Zrindssds.‛ M. ZZ@. Xdnf. (Muey <06>)
<?70-0?.
Mifbsib. E.L. Mr. rr ue.= ―Lb Dnfi`bg @b-^`tu Nik oust`ib I`e
_dnivdry Zkmdnt `b tfd Ttlf Xlr ^lbh.‛ M. ZF. X&@ (Ado. <06:)
?044>:8
Dbfknw/ I`e _dni`bdh Zirdbr`h `b rfr Tb`wh ^rnuds, _dpirt oy
Edw`b lbh Lssins. air Iaa nd ia Xdnfbieigy Lssdsskdbt (Mlb.
<076) 8:-8<.
Wheklb. O.X. 1‐<he.= ―Eloirltiry ^tuh`ds ia I`e _dnivdry oy
^tdlk @bmdnttib.‛ Xrubs., L@KD (<01<) ???. 16<-0:.
KnLhlks, W.F.= Fkt Xrlbsk`ss`ib. tf`rh dhtt`ib. KnGrlw-F`ee
Oiic Ni. @bn., Bd w Pirc N`ty (<048) ?1<.
_lkdy. F.M. Mr.= ―Wdeeoird Fdlt Xrlbsktss`ib.‛ M. Zdt. Xdnf.
(Lpr`e <01?) 8?7->4.
^l`tdr. L.= ―Fdlt Eissds Hur`bg Aeiw ia ^tdlk Hiwb l Wdee-
oird.‛ M. Zd/. Xd nf. (Muey @P14) 684-4 @.
W`eef`td. G.Z.= ―Ivdrlee-Lee Fdlt Xrlbsadr Nidaa`n`dbts `b ^tdlk
lbh Fit Wltdr @bmdnt`ib Wdees.‛ M. Zdr. Xrnf. (Kly <017) 1:7-<4.
Dlreiugfdr. _.N. Mr.= ―^ikd Zrlnt`nle Nibs`hdrlt`ibs `b tfd Hd-
stgb ia ^tdlk @bmdnt`ib Wdees,‛ M. Zdt. Xdnf. (Mlb. <010) 70-61.
Odggs. F.H. lbh Or`ee. X.Z.= ―L ^tuhy ia Xwi-Zflsd Aeiw `b
@bne`bdh Z`pds.‛ M. Zdr. Xdnf. (Kly <07>) 1:7-<8.
Alriuq Le`, ^.K.= ―L Nik prdfdbs`vd Wdeeoird ^ tdlk/Wltdr
Aeiw Kihde ir ^tdlk @bmdnt`ib lbh Gditfdrkle Lppe`nlt`ibs.‐
.^in~. Zdt. Db+ M. (Int. <06<) 4?7->8.
Klrx. M .W. lbh Elbgdbfd`k, _ B.= ―_dsdrvi`r Fdlt`bg oy Fit
Aeuth @bmdnt`ib.‛ Xrubs.. L@KD (<040) ?<1. ><?-<4
Dvlbs. M.G.= ―Fdlt Eiss Hur`bg tfd @bmdnt`ib ia ^tdlk ebti l
4-^pit.‛ plpdr prdsdbtdh ls tdrk primdnt `b ZBG 4<4. Zdbbsye-
vlb`l ^tltd T.. Tb`vdrs`ty Zlrc (Mubd <01:).
_lkdy. F .M. Mr.= ―H`snuss`ib ia _dsdrvi`r Fdlt`bg ia Fit Aeu`h
@bmdnttib.‛ Xrks., L@KD (<040) ?<1. >1>-14.
Klbhe. G. lbh Qiedc. N.W.= ―Fdlt lbh Klsg Xrlbspirt `b ^tdlk
Hr`vd Zrindssds.‛ .^in Zdr. Ird. M. (Klrnf <010) ^0-70.
Kyf`ee, B.L. lbh ^tdgdkd`dr, G= .= ―^tdlk Hr`vd Nirrdelttibs
lbh Zrdh`nt`ib.‛ M. Zdr. Xdh. (Ado. <076) <7>-6?.
Bdurblb. N.F.= ―L Grlv`ty Ivdrr`hd Kihde ia tdlkhr`vd.‛ M.
Zdr. Xwf. (Mlb. <064) <1>-10.
Hisnfdr. X.K. lbh Gflssdk`. A.= ―Xfd @baeudbnd iaI`e Q`sniwylbh Xf ncbdss ib tfd ^tdlk Hr`vd.‛ M. Zh. Xwf. (Ado. <06>)
?0<-06.
Qigde, M.Q= ―^tkpert`dh Fdlt Nlenuelt`ibs air ^tdlkeeiihs,‛ M.
Zdr. Xdnf. (Muey <068) <<?7->1.
>>.
>8.
>4.
>1.
>7.
>6.
>0.
8:.
8<.
8?.
8>.
88.
84.
81.
87.
86.
80.
4:.
4<.
4?.
4>.
48.
44.
41.
47.
46.
40.
1:.
1<.
Oiodrg. X.N. lbh Elbtz, _.O.= ―Nlenuelt`ib it tfd Zrihunt`ib
_ltd ialXfdrkleey ^t`kueltdh Wde`,‛ M. Zdt. Xdnf. (Hdn. <011)
<1<>-?>.
Oiodrg, X.N. lbh Wdst, _.N.N.= ―Nirrdelt`ib ia ^tdlk ^t`ku-
elt`ib Zdrairklbnd.‛ M. Zut. Xdnf . (Biv. <07?) <>17-16.
Nilts, C.F. dt re.= ―Xfrdd-H`kdbs`ible ^`kuelt`ib ia ^tdlkaeiih-
`bg,‛ ^it. Zdt. Dbn. M. (Hdn. <078) 47>-0?.
Nilts, C.F.= ―^`kuelt`ibia ^tdlkaeiih`bg w`tf H`lt`eelttib lbh
^ieut`ib G ls,‛ ^it. Zdr. Dbx. M. (Int. <071) ?>4-87.
Nilts. C.F.= ―L F`gfey @kpe`n`t ^tdlkaeiih Kihde.‛ ^it. ZN .
Dbb. M. (Int. <076) >10-6>.
Nriicstib, _.O., Nueflk, W.D.. lbh Nfdb, W.F.= ―Bukdr`nle
^`kuelttib K ihde air Xfdrkle _dnivdry Zrindssds,‛ ^it,. Zdr.
Dbg. M.(Ado. <070) >7-46.
Piubgrdb, G.C.= ―Hdvdeipkdbt lbh Lppe`nlt`ibs ia lb @b-^`tu
Nikoust`ib _dsdrvi`r ^`kueltir.‛ ^it. Zdt. Dbg. M. (Ado. <06:)
>0-4 @
Nilts. C.F.= ―@b-^`tu Nikoust`ib Kihde,‛ ^it. Zdr. Db,d. M.
(Hdn. <06:) 4>>-48.
Grloiwsc`, M.W. drl/.= ―L Aueey @kpe`n`t Gdbdrle Zurpisd A`b`td-
H`aadrdbnd Xfdrkle Kihde air @b-^`tu Nikoust`ib lbh ^tdlk,‛
plpdr ^ZD 6>01 prdsdbtdh lt tfd <070 ^ZD Lbbule Xdnfb`nle Nib-
adrdbnd lbh Dxf`o`t`ib, Els Qdgls, ^dpt. ?>-?1.
Ledxlbhdr, @.H.. Klrt`b, W.E., lbh Hdw. M.B.= ―Alntirs Laadnt-`bg Aude Lvl`elo`e`ty lbh Nikpis`t`ib Hur`bg @b-^`tu Nikoul-
t`ib.‛ M. Zdr. Xdnf. (Int. <01?) <<48-18
^fiwletdr, W.D.= ―Nikoust`ib-Hr`vd Xdsts.‛ ^it. Zdt. Dbg M.
(Klrnf <01>) 4>-46.
Zlrr`sf. H._. lbh Nrl`g. A.A. Mr.= ―Eloirltiry ^tuhy ia l Nik-
o`blt`ib ia Airwlrh Nikoust`ib lbh Wltdraeiih`bg-Xfd NIA-
NLW Zrindss,‛ M. Zdr. Xdnf. (Mubd <010) 74>-1<.
Ourgdr, M.G. lbh ^lfuqudt. O.N.= ―Eloirltiry _dsdlrnf ib Wdt
Nikoust`ib.‛ M. Zdt. Xdnf. (Int. <07>) <<>7-81.
Glrib, L.K. lbh Wygle. _.M. Mr.= ―L Eloirltiry @bvdst`glt`ib
ia A`rdwltdr Aeiih`bg,‛ ^it. Zdt. Db,q. M. (Hdn. <078) 4>7-88.
Kiss. M.X. lbh Nlhy. G.Q.= ―Eloirltiry @bvdst`glt`ib ia tfd Ixy-
gdb Nikoust`ib Zrindss air Fdlvy :<< _dnivdry,‛ plpdr ^ZD
<:7:1 prdsdbtdh lt tfd <06? ^ZD Nle`airb`l _dg`ible Kddt`bg,
^lb Arlbn`sni, Klrnf ?8-?1.
Zursedy, ^.L.= ―Dxpdr`kdbtle ^`kuelt`ib ia Xfdrkle _dnivdry
Zrindssds,‛ Zkn,. , Fdlvy I`e ^ykpistuk, Klrlnl`oi, Qdbdzudel(<078).
Fuygdb, F.F.L.= ―Eloirltiry ^tdlkaiihs `b Flea ia l A`vd-
^pit.‛ plpdr ^ZD 1<7< prdsdbtdh lt tfd <071 Lbbule Xdnfb`nle
Nibadrdbnd lbh Dxf`o`t`ib. Bdw Iredlbs, Int. >-1.
Dfre`nf, _.= ―Eloirltiry @bvdst`glt`ib ia ^tdlk H`spelndkdbt `b
tfd Wlolsnl Grlbh _lp`hs ‖L‐ ^lbh,‛ I`e ^khs ia Nlblhl-
Qdbdzudcu <077, N@K (<076) ^pdn`le Qie.
Zrlts. K.= ―Zdlnd _ `vdr ^tdlk Hr`vd ^nledh Kihde Dxpdr`kdbts,‛
I`` ^lbhs ia Nklhl-Qdb=un8< <077. N@K (<076) ^pdn`le Qie.
Hisnfdr, X.K. lbh Fulbd. W.= ―^tdlk-Hr`vd Zdrairklbnd
Muhgdh \u`ncey arik Tsd ia Zfys`nle Kihdes.‛ I`e lbh Gls M.
(Int. ??, <070) 4?-47.
^`bgfle. L.C.= ―Zfys`nle Kihde ^tuhy ia @bvdrtdh ^dvdb-^pit
^tdlkaeiihs `b l Ziie Nibtl`b`bg Nibvdbt`ible Fdlvy I`e,‛ M.
N&t. Zdr. Xdnf. (Muey-^ dpt. <06:) <?>->8.
O`bhdr, G.G. drl/.= ―^nledh-Kihde Xdsts ia @b-^`tu Nikoust`ib
`b Klss`vd Tbnibsie`hltdh ^lbhs,‛ Zrin,. , 7tf Wireh Zdt. Gibg..
Kdx`ni N`ty (<017).
Zumie. E. lbh Oiodrg. X.N.. ―^nle`bg Lnnurlny ia Eloirltiry
^tdlkaeiih`bg Kihdes,‛ plpdr ^ZD 8<0< prdsdbtdh lt tfd <07?
^ZD Nle`airb`l _dg`ible Kddt`bg. Olcdrsa`deh. Biv. 6-<:.
^tdgdkd`dr. G.E., Elukolnf. H.H., lbh Qiedc, N W.=
―_dprdsdbt`bg ^tdlk Zrindssds w`tf Qlnuuk Kihdes,‛ ^it. Zl.
Grg, M. (Mubd <06:) <4 -78.
Alriuq Le`. ^.K.= ―Nurrdbt ^tltus ia ^tdlk @bmdnt ib ls l Fdlvy
I`e _dnivdry Kdtfih.‛ M. G/b. Zdr. Xwf. (Mlb.-Klrnf <078)
@-<4.
Gdaadb. X.K.= ―I`e Zrihunt`ib ti Dxpdnt arik Cbiwb Xdnfbie-
igy.‛ I`e kh Gls M. (Kly 7. <07>) 11-71.
Edw`b lbh Lssins. @bn. = Xfl Zitkr`nres ubh Dukk`ns ia b-
fiwdne I`e _dniwr,9, Adhdrle Dbdrgy Lhk`b`strlt`ib (Lpr`e <071)
_dpirt 671<?? @, ?-1.
eyifi. L.W.= ―^dednt`bg Dbflbndh I`e _dnivdry Zrindssds.‛
Whh I`e (Biv. <076) 1<-18
Nfu. N.= ―^tltd-ia-tfd-Lrt _dv`dw ia ^tdlkteiih A`deh Zrimdnts,‛
plpdr ^ZD <<7>> prdsdbtdh lt tfd <06> ^ZD Nle`airb`l _dg`ible
Kddt`bg, Qdbturl, Klrnf ?>-?4.
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81-88 ZDX_IEDTK DBG@BDD_@BG FLBHOIIC
1?. Nfu. N.= ―L ^tuhy ia A`rdteiih A~ne h ZritdntU.‛ M. ZF@. &/@.
(Ado. <077) <7<-70.
0:.
1>. Nfu. N. ―^tltd-it-tfd-Lrt _dv`dw ia A`rdteiih Atneh Zrrqnntf.‛
M. Zr,`. Xdnf . (Mlb. <06?) <0-V. 0<.
―^einutb A`deh.‛ etbpk ~h I`e _WI @ nvy c-w/h _dpirr.s. ^ZD ~
_`nfdrhwb, XV (<071) ?. Bi @, <<%?6. A.&rrewh I`e _nnve.-
~ =vA`n/e _qwrrs. ^ZD, _tnflrhsib. XV (<070) 4. Bi. ?. ?0<-07.
Zieeinc, N.O. lbh Ouxtib, X.^.= ―Zdrairklbnd ia O Airwlrh
^tdlkhr`vd Zrimdnt-Buggdt _dsdrvi`r, W`bcedklb H ikd A`deh,
Wyikkg,‛ M. Zrr. Xdnf. (Mlb. <010) >4+Ce.
―W`bcedklb Hikd A`deh.‛ arbpwwh I `e _dn~kyv A`hh _np~k.
^ZD. _`nflrhsib, XV (<074) < Bi. @, <44-1?. D &~r`n(.h I ``_~n~bw~ A`r/h _qxvrn, ^ZD. _`nflrhsib. XV (<06:) 1, Bi. @.
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W&n/ I`e. Zlrt @ (Lpr`e <018). <?8-?63 Zlb ? (Kly <01>) 04-06.
Oerv`bl, X._.. Lsnet`bn. _.M.. lbh C`rc, _.^.= ―LbleyvU ie l ^tdlbe
Hr`vd Zritdnt, @bgenwiih A`deh. Nle`airb`l,‛ M. Zdr. 7dn,`9. (^dpt.<010) @e8<-4:.
Oedvebo. X._. lbh O`ee`bgsedy. _.F.= ―Xfd Xdb-Zlttdrb ^tdlb-
aeiih. Cdrb _`vdr Atdeh. Nle`airb`l.‛ M. Zdt. e `h`. (Hdn. <074).
@ I^ - <83 7`-5r,z .U. L@KD, ?40.
Igedoy, C.H. (‖@ tre.= ―^tltus ia tfd Xdb-Zlttdrb Cdrb _`wr A`deh.
Nle`airb`l.‛ M. Zdt. X&@. (Int. <06?) ??.4<-47.
Ourldee. N.G.= ―^tdlk H`spelndkdbt-Cdrb _`vdr A`deh.―./. A‐d,.
X&r. (Int. <07:) <??4-><.
OurUdee. N G. lbh Z`ttklb, G.K.= ―Zdrairklbnd ia ^tdlk H`s-
pelndkdbt `b tfd Cdrb _`vdr A`deh,‛ M. Zdr Xwf. (Lus. <074)
077-<::8.
Grdlsdr, G._. lbh ^fird. _.L.= ―^tdlkaeiih Zdrairkeknn `b tfd
Cdrb _`vdr A`deh.‛ plpdr ^ZD 66>8 prdmdbtdh le tfd <0V:
^ZD/HID ^ykpis`uk ib Dbflbndh I`e _dnivdry. Xuesl. Lpr`e
?:-?>.
KnOdlb. W .B. ―Lttrn :<< _dnivdry oy ^tdlk H`spexnkdbt.‛
plpdr ^ZD 8 <7: prdsdbtdh lt tfd <07? ^ZD Nlfairkl _dg`ibleKddtkg. Olcdrsatdeh, Biv 6-<:
_nfcipe. O.E.= ―Kd&ib Ltt`n ^tdlk Hr`vd.‛ plpdr ^ZD ^64^
prdsdbtdh lt tfd <071 ^ZD Nle airb`l _dg`ible Kddtkg. Eibg
Odlnf. Lpr`e V-0.
Fdlrb. N.E.= ―Xfd De Hirlhi ^tdlk Hrwd-L Z`eit Xdrt`lry
_dnivdry Xdst.‛ M. Zrr. Xhx (BW <07?) <>77-68
Qbeerriy. Q.Q. :< tre.= ―Hddra`deh Z`eit Xdst ia :<< _nniwry oy
^tdlk Hr`vd.‛ M. Zdr. Xh9. (Muey <017) 041-18.
vlb HtMc. N.= ―^tdlk-Hr`vd Zrimcnt `b tfd ^nfiibdfddc A`deh.
Xfd Bdtfdrelbh2,‛ M. ZF. Xtrf. (Klrnf <016) ?04->:?.
GltdU. N A. lbh _ltbdy. F.M. Mr.= ―Atdeh _dwets ia ^iutf Ode-
r`hgd Xfdrkle _dnivdry Dxpdr`kdbt.‛ ‖arwzU. , L@KD (<0.46) ?<>.
?>1-88.
Zlrr`sf. H._. rr S `e.= ―L Xdrt`lry NIA NLW Z`eit Xdst k tfd ^eiss
A`deh, BnfrlUcl.‛ M. /‖5,@. 7h<. (Mubd <078) 117-74= Xrtr,~.,.,
LeKD. ?47.
Zbrr`ff, H._.. Zieeinc. N.N.. lbh Nrl`g. A .A. Mr.. ―Dvleult`ib
i`‖ NIA NLW ls l Xdrt`lry _dnivdry K dtfih. ^eiw A`deh. Bnfrll-
cl.‛ M. Zdr. X& (Mubd <078) 171-61= XTB@^., L@KD, ?47.
Ouxtib, X.^. lbh Zieinc. N.D.= ―Xfd ^eiss NIA NLW ZC@MdNt-
Aurtfdr Dvleult`ib ia Zdrairklbnd Hur`bg h bh Latdr L `r @b,J-
t`ib=‐ M. ZN, Xw@`. (Hdn. <078) <8>0-86= Xru,~r., L@KD. ?47
Ki$s. M.X.. W f`td. Z H.. lbh KnBd`e. M.^.= ―@b- `tu Nikow
twb Zrindss-_dwets ia l A`vd-Wdee A`deh Dxpdr`kdbt `b ^iutf-
nk Icelfikl.‛ Xrw2U. , L@KD (<040) ?<1. 44-18
Zlrr`sf. H._. Z@ ne/.= ―Tbhdrgriubh Nikoust`ib `b tfd ^flbbib
Ziie. Wyik`bg.‛ M. Zdr. Xhe. (Ado. <01?) <07~?:4= Xr5rre.U.
L@KD. ??4.
^kuf, _.Q. (‖@ ne/.= ―_dnivdry ia I`e oy ^wlk @bMdnt`ib `b tfd
^klnfivdr A`deh. Lrclbsls.‛ M. ZF. Xdnf. (Lug. <07>) V>>-60.
―^klnfivdr A`deh,‛ @rr`/M‛e―h I`e _ke~n~~ A`r/h _dp9U ( <:74)
@. Bi. @. <>4-8>= D/rctrrtwt/ I `e _nr~iwr9 r9‖r/t e _qwrrU. ^ZD.
_`nflrhwb. XV (<06?) 6. Bi @. 164-66.
―Cdrb _`vdr A`deh. ^tlbhlrh I`e Nikplby ia Nletairbel.‛ e/w
/wfdw5/ I`` _rnrwn~r, A`nere _qwwa,U ^ZD. _`nflrhsib ~XV ( @ P7^)
<. Bi @, 6>-0?= Hte rtrwrne T/` _~wwrU. A`hh _qwk, ^ZD.
_`nflrhsib. XV (<06:) 1. Bi @, ?>-?8.
―K`hwly-^ublnt AEdeh. Nflb\ir-Wdstdrb I`e lbh Hdvdeipkdbt
Nikplby .‛ <~~z~wwe I`e _DNI@W~ /+/h _qxwrv. ^ZD. _`nflrh-
wb. XV @ <071) ?. Bi. >. 884-483 D/~fknw/ I`e _dn~~wr/~U A`nete
_~yik. ^ZD. _`nflrhsib. XV t <:6?) 6. Bi. @. 7?%>?.
^tifns. H.H (‖@ (`e.= ―^tdlk Hr`vd lU l ^uppedkdbtle _dnivdry
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_`nflrhwb. XV ( <074) @. Bi. 7. ?77-61= &5r,`w5/ I`e _nu`U~-
wv p`n,/`/ _nprw~~. ^ZD. _`nflrhsib. XV ( <06?) 6, Bi @ 7: @ -ee>
XrlvnrUn. D.A., Hdtfnb. L.H.. lbh ^ustdf. L.M.. ―^lb Lrhre-L
NbUs FeUtirq ia l ^unnn`Uaue ^tdlk~eibh.‛ plpdr ^ZD @ @7<7
irdsnbtdh lt tfd @PV> ^ZD Nle`e wul _drrwbue Kdntkd. Qdbturs.`e=rrnf 7>-?4.Flee. L. E. lbh Oiwklb. _ W.= ―:pnr3`twb lbh Zdrairklbnd i<
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Fdrrdrl. L.M.= ―^tdlk -Hr`cd _dnivdry Odkg Txh ib Elcd
Klrhnl`oi Nilstle A`deh.‛ I`en`r`h GB(.M. (Muey <7. eP76) 78-6:.
―X`l Mulbl Dstd A`deh. Klrlwb, ^.L. ,‛ Gefiwdre I`e _rw~r~
Awene _dpirt.U, ^ZD. _`nflrhsib. XV (<076) >, Bi 8. 74<-1?=
&fw&/ :<< _wiwrv A`deh _qxw/r, ^ZD. _`nflrhsib. X V
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^fiwletdr. W.D. lbh KlnEdlb. K .L. ―A`rdaeiih lt Ordl-Ie`bhl
A`deh, Irlbgd Niubty. Nle`airb`l.‛ plpdr ^ZD 871> prdsdbtdh
lt tfd <078 ^ZD ^ykpis`uk ib @kprivdh I`e _dnivdry, Xuesl.
Lpr`e ??-?8.
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_`nflrhsib. XV (<074) <, Bi. @, @^- <63 Irfrrwn‐h Ia/ _ZNIW~
A`dce _~~pibs. ^ZD, _`nflrhsib. XV (<06<) 7, Bi. @, 8:7-:6.
Gltds. N.A. lbh ^celr, @.= ―Nikfuoteib ls l Zr`klry _dnindry
Zrindss-K`hwly ^ubsdt A`deh,‛ M. Zdr. 7.nvf. (Lug. <07<)
0V<-61= Xrur~s.. L@KD. ?4<.
Niub`flb, X.K.= ―L ^ unndsUe‐u e @b-^`tu NikouUttib Z`eit @b tfd
K`hwly ^ubsdt A`deh, Nle`airb`l,‛ plpdr ^ZD 1.4?4 prdfdbtdh lt
tfd <077 ^ZD Nle`aiktl _dg`ible Kddttbg, OlcdrUatdeh, Lprte
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Gltds. N.A.. Mubg, C.H.. lbh ^uralnd. _ L.= ―@b-^`tu Nikous-
t`ib `b tfd Xuelrd Airklt`ib, ^iutf Oderthgd A`deh. Cdrb Niubty.
NL,‛ .@ Zdr. X&. (Kly <076) 706-6:1= Xrnw U. L@KD. ?14.
Fdw`tt. N .F. lbh Kirglb. M.X.= ―Xfd Ary @b-^ttu NikfuUt ib
XdUt-_dsdrvi`r Nflrlntdr`st`nU,‛ <. ZF. XC/@. (Klrnf eP14)
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Nelrc, G.L. d~ie.= ―Xfd Ary @b-^`tu Nikoust`ib Xdst-A`deh Ip-
drlt`ibs.‛ M. A‐nr. Xdhs. (Klrnf <01.4) >8>-87= Xrnrr~s., L@KD.
?>8Nelrc. G.L. drt`e.= ―Xfd Ary @b-^`tu Nikoust`ibXdst-A`deh Ip-
drlt`ibs lbh Zdrairklbnd,‛ M. Zrn Xn,rf. (Klrnf <014) >86-4>3
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Dlreiugfdr. _.N. Mr.. Gleeiwly, M._ . lbh Zlrsibs, _.W.= ―Zdr-
airklbnd ia tfd Ary @b-^ tu Nikoustk b Zrimdnt.‛ M. ZF. X~~n~/@.
(Kly <07:) 44<-47.
Oedlceny. W.O.= ―Ary Tb`t A`rdaeiih ^urwv`bg Dnibik `n Zrds-
surds.―- I`e nk Gls-M. (Kly >. <07<) 0?-07=
Fiwdee. M.N. lbh Zdtdrsib. K.D.= ―Xfd Arv @b ^`tu NikfuUttib
ZriMdnt Zdrairklbnd lbh Dnibik`n ^tltu3.‛ plpdr ^ZD V.<6<
prdodbedh lt tfd @070 ^ZD Lbbule Xdnfb`nle Nibadrnbnn lbh Dx-
f`ott`ib. Els Qdgls . ^dpt. ?>-?1.
E`tt ed, X.Z.= ―^unndsst`~e A xaeiih`bg ia tfd Odeedwd Aeneh.― &r
Dbg. /b/e. (Bi v. <074) 44-41.
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nry A‐wc@ _nyxux, ^ZD. _tnflrhsib. XV (<074) <, Bi. >. 87 @-6:=
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Nlti. _.W. lbh Akcl. W .L.= ―Gdtty :<< _dpirtU A`rdteiih Z`-
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eP74) 8.4-80.
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?04s`i` .‐
Zdrry, N.W., Fdrtefdrg. _.F.. lbh ^tisur. M.M.= ―Xfd ^tltus H@
Dbflbndh I`e _dnivdry `b tfd Tb`tdh ^tltds,― Zkt . , Xdbtf Wireh
Zdt. Nibgrds. Ounflrdst (<06:) >. ?47-11.
Odbflk. L.E. lbh Zidttklbb. A.F.. ―Xfd Xfdrkle _dnivdry
Zrindss-Lb Lbleyf`l ia Eloirltiry Nikoust`ib Hltl.‛ Xrtr,r.U. ,
L@KD (<046) ?<>, 6>-64.
Nluhed. O.F.. F`nck lb. O.K.. lbh ^eefdrodrg. @.F.= ―Zdrairk-
lbnd ia tfd ^cdwdh Aiur-^p)t @bmdnt ib Zlttdrb.‛ M. /‖nr. Xwf.
(Biv. <016) <><4-<0.
Nlhy. G.Q., Fiaaklb. ^ M.. lbh ^nlroiriugf, _.K. ―^`evdr-
hled Niko`blt`ib Xfdrkle Hr`vd Zrimdnt,‛ plpdr ^ZD 60:8
prdsdbtdh lt tfd <06: ^ZD Nle airb`l _dg`ible Kddtkg. Eis Lb-
gdeds. Lpr`e 0k @
hd Fllb. K.M. lbh ^nfdbc. E.= ―Zdrtirklbnn Lbleys`s ia l KlMir
^tdlk Hr`vd Zrimdnt k tfd X`b Mulbl A`deh. Wdstdrb Qdbnzw
e l . ‛ . n r . Xh7 . (Mlb. <010) @ @ e-<0.
―Xdxls A`rdaeiih Eiics E`cd l W`bbdr.‛ I`e nrbh Gtry M . Ado.
<7. <010) 4?.L~~Mu. O.@.= ―Nibvdrs`ib ia ^tdlk @bmdnt ib ti Wltdreeiih. Dlst
Nile`bgl A`deh.‛ M . Zd r . wf . ( Bi v . < 0 78 ) <??7->?.
GltdU. N.A lbh Ordwdr. ^.W.= ―^tdlk @b`dnt ib `bti tfd H lbh
D ]ibd, Xuelrd Airklt`ib, ^iutf Oder`hgd A `deh. Cdrb Niubty,
Nle`airb`l.‛ M. Zut. XC~. (Klrnf <074) >8>-8V.
Gikll, D.D.. Hudrcsdb. M.F.. lbh Wii. Z.X.= ―Hds`gb`bg l
^tdlkteiih Z`eit `b tfd Xf`nc Kiblrnf ^lbh ia tfd K`hwy-^ubsdt
A`deh,― M . ZF. Xdn f . Hdn. <077) <440-16.
Nfu. N. lbh Xr`koed. L.D= ―Buk dr`nle ^`kuelt`ib ia^tdlk H `s-
pelndkdbt-A`deh Zdrairklbnd Lppe`nlt`ibs,‛ M . d/ . c f. (Mubd
<074) 714-78.
Misdpf, N. lbh Zusnf. W.F.= ―L A`deh Nikplr`sib ia Wdt lbh
Hry Nikoust`ib,‛ M. ZN/ . Xdn f . ^dpt. <06:) <4?>-?6
Gltds. N.A. lbh Fiekds, O.N.= ―Xfdrkle Wdee Nikpedt`ibU lbh
Ipdrlt`ib.‛ plpdr ZH@ @ prdsdbtdh lt tfd ^dvdbtf Wireh Zdt.
Nkg.. Kdx`ni N`ty (<017).
Aix. _.E.. H iblehwb. L.O., lbh Kueln, L M. ―H dvdeipkdbtba Xdnfbieigy air Hwbfied ^tdlk Zrihunt`Sk.‛ plpdr ^ZD 0771
prdfnbtdh lt tfd <06< ^ZD`HID Mi`bt ^ykpis`uk nk Dbflbndh
I`e _dnivdry, Xuesl. Lpr`e ^-6.
@8.E
<>4.
<81.
<87.
<86.
<80.
@ si.
<4<.
<4?.
<4>.
<48.
<44.
<41.
<47.
`sx.
<40.
<1:.
<1<.
<1?.
<1>.
<18.
<14.
<11.
<17.
<16.
Nlrrlwlq. Z.K Ceitf. X.E lbh Ouee. L @)= ―Ni-G nbdrlt``rb.
L Bdw Dbdrgy ^yUtdk ti Gdbdrltd Oitf ^tdlk lbh @`edntr n`tq .‛
plpdr ^ZD 00:7. prdsdbtdh ~<<fd <:6< N,~e` e ~rb`u _dg`ible Knde-
<‛3. Olfnrst‐`neh. Klrnf ?4-?1.
^trlbgd. E.C.= ―@gb`t ib= Cdy Zflsd k Nikfu&ib _nwvnry.‛
a n ` . Nr a ` . Bi v. 018) <:4-:0, (Hdn. <018) P7~<:1.
^fird. _.L.= ―Xfd Cdrb _`vdr ^NLB Lutiklt`ib ^ystdk ^brw
ped. Nibtrie lbh Lelrk Bdtwirc,‛ plpdr ^ZD > @7> prnsnbtnh lttfd <07? ^ZD Nle`airb`l _dg`ible K ddt`bg. Olcdr~`‖`deh. Biv
b-<:.
―Oihnlu @b-^`tu Nikoust`ib ZriMdnt.‛ ``rUt lbbule rdpirt. HID
Zuoe`nlt`ibs ^LB-< <60-?. T.^. HID (^dpt. <077).
Wlgbdr. I._.= ―Xfd Tsd ia Xrlndr4 `b ‖H`lgbis`bg ebtnrwnee
_dsdrvi`r Fdtdri~dbd t`ns-A@ed@h _nwetU.‛ M . n v . d n f ( Bi v.
<077) <8<:-<1. -
Pide`b. ^.H.= ―Xfd XK ^lbh ^ystdk ^t`kuelt`ib Zqdnt.‛ M .
Zdr. Xhz. (Lug <07<) 067-08.
Kdehlu. _.A., ^f`pedy. _.G.. lbh Nilts. C F = ―Nyne`n
Gls/^tdlk ^t`kuelt`ib ia Fdlvy-:<< Wdees.‛ M . Zh . Xwc . (Int.
<06<) <00:-06.
O&ib, K.W. ir (@/.= ―Xfd ^trddt _lbnf Z`eit Xdst it Arbntuw
Lss`stdh ^tdlkaeiih Xdnfbieigy.‛ M . ZN, / . h z. (Klrnf <0V>)
4<<-?<.
^lfuqudt. O.N. lbh Adrr`dr. M.M.= ―^tdlk-Hr`vd Z`eit `b u Arln-
turnh Nlroibltd _dsdrvi`r= Elnq ^updr`dur A`deh.‛ M . v ` . ~@ .
(Lpr`e <0V?) V7>-6:.
Fxm`rhis. E.M.. Fiwlrh, M.Q.. lbh _iodrts. G.W.= ―Dbflbndh
I`e _dnivdry Xfriugf Ixygdb-Dbr`nfdh @b-^`tu NikfuUt`ib= Xdst
_dsuets arik tfd Airdst F`ee A`deh `b Xdxls.‛ M . ZN@ . ha . (Mubd
eP6>) <:1<-7:
Zrltl. K,= X@wrw/ _~wUw=~. Kibigrlpf ^nrenf, ^ZD. _`nflrh-
sib. XV (<06>) ?:<->6.
Odle. N.= ―Xfd Q`snis`ty ia L`r. Wltdr. Blturle G ls. Nruhd I`e
lbh @ts Lssin`ltdh Glsds lt I`e A`deh Xdkpxzturns lbh Zrdssurds.‛
Xwk. , L@KD (<081) <14. <:>.
Zrake~ur9 Zkhuhi b FrzbrefiiV. X N. Ar`nc (dh ) Qie. @ e.
KnGrlw-F `ee Oiic Ni. @bn.. Bdw Pirc N`ty (<01?) <0->0.
Nfdw, M. lbh Nibbleey. NL. Mr= ―L Q `UniU ty Nirrdelt`ib e`x
Gls-^lturltdh Nruhd I`es.‛ Xrn`bs., L@KD (<040) ?<1, ?>-?4.
Onggs. F.H. lbh _io`bsib. M._.= ―Dst`klt`bg tfd Q`wis`ty ia
Nruhd :<< ^ystdks.‛ M . Zd r . dnf. (^dpt. <074) <<8:-8<.
Oriics. _.F. lbh Nirdy. L.X.= ―Zripdrt`ns ia Zirius Kdh`l
Laadnt`ba` Aeu`h Aeiw,‛ a r w. , L^ND. errerltkb lbh Hrl`blgdU
H`v. (<0c1) 0?. Bi. <_?.
^ikdrtlb, W .F. lbh Thdee, C.^.= ―Xfdrkle lbh F`gf Xdrbpdrl-
turd Zripdrt@ds ia _inc-Aeu`h ^ystdks.‛ plpdr prdrdbtdh lt tfd
<06< IL^X_ L Wircsfip ib Nikputdr Kihde`bg. Dhkibtib.
Letl.. Mlb. ?6->:.
Zistib. ^.W. N@ ne/.= ―Xfd Daadnt ia Xnkpdrlturn ib errdhuneoed
Wltdr ^lturlt`ib lbh _delt`vd Zdrkdlfhety ia Tbnibwfhltnh
^lbhs.‛ .^in Zdt . q . M . Mubd <07:) <7<-6:.
Wd`borlbht, _.K.. _lkdy, F.M. Mr., lbh Nlos& A.M.= ―Xfd Dt-
t‐nnt ia Xdkpdrlturd ib _delt`vd lbh Losieutd Zdrkdlf`euy ia ^lbh-
stibds.‛ ^it . t v . t 9& M . Int. <074) >71-V8.
^lwlf`b`. N.X., Nf`e`bglr. G.Q., lbh Leedb. H._.= ―Nikprnl-
sef`e`ty ia Tbnibsie`hltdh. Lrcis`n I`e ^lbhU.‛ ^it. Zne. D @,~.
M . Lpr`e <078) <>?->6.
^ikdrtib, W.F., Cddsd, M.L., lbh Nfu. ^.E.= ―Xfdrkle Odflv`iria Tbnibsie`hltdh I`e ^lbhs.‛ ^it . ‖ 5, @ .@ , ~ . . Int. <078)
4<>-?<.
Zidttklbb. A.F. lbh Klyelbh. O.M.= ―Dqu`e`or`uk Nibstlbts e`)r
F`gf Oi`e`bg Fyhrinlroib Arlnt`ibs it Qlrykg Nflrlntdr`7hteib
Alntirs.‛ Zrr. _da`bdr (Muey <080) <:<-<?.
Edd. ^.X. dt (`e.= ―Dxpdr`k2btle lbh Xfdirdt`nle ^tuh`ds ib tfd
Aeu`h Zripdrt`ds _dqu`rdh air ^`kuelt`ib ia Xfdrkle Zrindwx‛
^i t . Zd r = Ir g . M . odt. <06<) 4>4-4:.
Alss`fe. K._., Or`gflk. W.D , lbh _lkny. F.M. Mr.= ―Xfd _dln-
t`ib C`bdt`ns ia @b-^`tu Nikoust`ib.‛ ^it,. Zd r . 9 @ ~ .. (Lug.
<068) 8:6- <1.
―<017 L ^XK ^tdlk Xloeds.‛ L^KD, Bdw Pirc N`ty (<017).
Gdbdrle _dadrdbnds
―Oeoekgrlpfy ia Xfdrkle Kdtfihs ia I`e _nnivdrg,‛ M . N&@ . Zd r .
X&. (Lpr`e-Mubd <074) 44-14.
7/22/2019 46 - Thermal Recovery
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81-81 ZDX_IEDTK DBG@BDD_@BG FLBHOIIC
Nrlwairh. Z.O.= ―@b-^`tu Nikoust`ib.‛ ^d~iketrr~ trh rdrt`err~
I`` _5~iw~ ~ Zb~w.~.w.~. @btdrstltd I`e Nikplnt Nukkesl`ib.
Icelfikl N`ty (<078) Nflp 4.
Alriuq Lf. ^K.= ―^tdlk tbmdnr`ib.‛ ^dt~ireeerr~~ eeeh Xdrker~ :<<
_dnivdry Zrindssds, @btdrstltd I`e Nikplnt Nikk`ss`ib, Ic@h-
fikl N`ty (<078) Nflp. 1.
Zuts. K.= 77wbh _rw~~r~, Kibigrlpf ^drw ^ZD. _`nflrhsib.
XV (<06?) 7.
7fdrkue _dniwr~ Zri nds.ws, _dpr`bt ^dr~ns, ^ZD, _`nflrhsib, XV(<014. <064) 7.
7fdr~w~e _duwn~~ Xdnfb`quds, _dpr`bt ^dr`ds, ^ZD. _`nflrhsib.
XV (<07?) <:.