Brown & Williamson
Low Risk Cigarettes: A Prescription Low Toxicity Cigarettes Hold Significant Promise in the Prevention of Diseases Related to Smoking
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Table L Dmly critical cigar~tLe con~umptlon Column, I 2 and i r¢~/reserlt the Ioweft aver
~g~, and highest cdfic~J vaJue~ obtRined from m~ong MI ¢~Jir ¢ ~ponding ~Iudles
Ci~lret tes INod
]~i~a se mortality Studie~
(No ~ (l/ ~2)
13)
Low AV¢l~e
High
Cancer of the oral cavity 3 7~ $.8
10
Cancer ~the pharynx I 23 25 ~3
Cancer of the ¢soph~us 2 ~5 73 10
Cancer of the pancrea~ 1 9 9 9
Cancer nflh¢ larynx 2 3~ 68 10
Lung ¢~ncer 10 0 ? ~7 10
~r~¢r of the bladder and kldney 7 9 9.J 10
CoJ~nary artery diseasd 3 3~I 42 ~5
Coronary heart disease I ~ J.5 3~
A~]~[e aneurism [ 4-5 4,5 ~
All ~u~e~ for cufTent sJnoker ~ 4 ] 2 2
3~
proble[12, howevel is not in.
~ul[nountabJe, because consumer p~r-
Cel~tiun ¢~11 be mad~ to change, For iu-
stance, the ~t rellgth 0[ cigarctt e~ today is
flearly h~[f of what it was 15 y~ars ago,
w~ll n2odern ¢igareltes would have
been corl~idered too weak (30)¸ Tller¢
may be lower limits 0 f acceptabilily, and
lhe succes~ of ~ome new cigarette
this bci,lg the maximum ntlmber of ciga-
relle~ that the avelage individual ~,uutd
smoke daily without appaE~nt]y increas
ing hi~ expected risk of mortalhy !ignifi
¢all fly above lhat of a nonsmoker, within
the ~talislical variation in each ~tudy
Table I s~mmarizes the resuh~ of this
~nalysi~ The low value is the Io~st of
bral?d~ containing "~ io ~ milllgt ires of all c rlt~cal values ob/aincd ~rom the ~lud
tar and 02 to 0.8 milligram of I~icntine, its reviewed; the average and high criri
indicates that these limits might be quite
low. Future cummercial cigarettes can
he e~peeted ~ ~:h~llelxlg~ ¢o~roer at
ceptabilily and to ea]l for cautious mar
keying policies. These new ciga[etles will
utilize compensating flavors and fra
grances (31), and it appears that safety
requirements can be met, particularly if
added fhwors are natural tobacco c0m
pollents, and are little pyloliz~d or a[
toted during smoking.
Low-Risk Cigarelles
The feasibility nf )esn ha2ardou eiga
rettes poses an obvious que~tlon: Are
there limits of cigarette and smoke corn
position Ihat may approach relative sale
ty? [a pragmatic tera/~ these Limits cart
be defined as Ihe smoke inhke doses at
which the risk of disease in smokers [~
approximately the same as in non
smokers. Various way5 of estimallnN
these values al~ available in putieular,
the dose response analysis of several
epidemiological sHidies and the cxtrapo
]ation of blood concentrations at difi~
¢nt rates of intake for certain smoke
components, such as carbon monoxide
To derive a desc-resportse relation
ship, cpidemiologieal studies as~ociatin~
d~dly eigarel~e eon~mplion i~ males
with increases ill lisk of mortalily from
II spot{fie diseases and of morlalhv in
general were analyzed (32-44) A critical
value ~as estimated flora each study.
~214
eal values me defined imiltrly The
~maliest crilica[ value on record i~ 0.7
shon]d be merllioned t/l~t this low poinl
is the result of only role study i32) oflhe
Ion 5alv~y~d [~lr lung ~ncer, the ~)lhel
rline suppoctin~, ~ low value clo~er to five
ei~,a~lles pcr day
MO~I of the ~tudies hi this analysis
were b~sed on data collected dLIrln~ the
[95(l'~; because lhe diseases considered
have a long ]atenl period, [I is fair to
conohlde that cigarette ¢onsurnptioll be
fore 1960 conlributed to Ihe risk~, ob
selwed, Table 2 lists the ~verage delivery
of some slgnilqe~ml smoke eompoflenl~
for cigarettes m;mufacttlred bernie 1960
[see also (6~49)i.
Conservative estimates of upper limils
of d ail~' ~.r~oke it~take ,[~u/d entree,pond
to the Io,,veit intake doses associated
with incl~ased risk in ep~emiologica]
TZLbIe 2 Average delilety of smoke coin
I~onerRs of cigarettes in~l~Jt~tclured before
component clg~elle
"far tmg)* 43
Nicotine (mgl* 3.0
CO (mg)~ 23
N<)~ Ozgl.+ 270
14CN (t~gl$ 410
Acrolem 0zgl~ 130
*S~les-wel~hted avera~e~ (4~, 47) tSe~ t4~
4~ ~See (49~
studies It cQil]d Ic alguel] hllwever
tha~ each xmoke cum9 ment shuuld he
judged only in Lhe eonlexl of the ~l~ocia t
ed disease; ~r hl~lanc¢, lhcre is no clear
evidence thai nicotine is i~]ated to lung
carl*;¢l., bul a case could b~ made ll)r its
role il~ Colorlary heart dise~lse
At pl~en[, Ihe ~ounterarguroent is
iIIofe appro~ri~lle because [he causative
allrlbntes of indivldua[ !moke com-
ponents are ~u~ciently blOmted to be of
concern. Ihe possible involvement Of
nicotine in the etiology of lung cancer
ha~ sol been filled out; i~ fact, its irl-
direct re~e has been sugge'4ed by a re
cent study (50L
Thus, a CUllSetvdllve ipproach sag
gests using the cnlica] vahles that apply
to ~dl causes of death in 5mukels. AI-
lho0gh 'all caoses" may inchtde some
lhlt are sol lob[tutti related, this c tJ[ll pro
henslvc category wpte~ems Ihe effect of
riga[nile consumption on mortality in
general These cdtical vatues are libldd
in Table 1, and the ~elated critical valnes
of smoke cnmponenl~ are listed in Table
3.
Blood concenlrati~'n '~f calhoxyh¢
moglobin [COHb) is not dileetiy propor
tiona[ to CO d~livery per ¢iglrelte; it is
inllt/enced by the smoking and respira
be~v, d~.r~ami~~, of lhe ~adNidaal an~ b9
the number of inhaled puff~ that a clgi~
rette dellve~s Based nn slandard consid
er ttions I~/ $2} Table 4 indicates how
man! cigarettes a smoker could consu ale
duil~ before re~ching crlt[cal COHb v,~l
ucs, depending on Ihe CO delivery peru
cigare{te
If Ihe hr~ crillc d vllues of Ihe range
appear difficull to atta[rt--a slllokcr
could argue thgl they imounI lo a no~
~moking prescription the upper values
ale in the lange of cunenl cigarelte mar-
ketlng and malqufaclurlng realities, al
thot~gh lhey would necessitate modifica
lion of the acceptability requltements of
the smokel
It wc~u[d be errc~ue~m~, Io iatcrpret
these clitiua] values as indicators tlf sift
smoking level~, since the e×perimental
~nd statistic ii uneertaintie~ of the stud
ins surveyed tr¢ welt known, as in mo~t
epidemiok, gical ~nrk of this kind Also,
regardless ul" how snphistizated the sta-
tistical methods might be, the dar~
should not be interpreted a~ indic iting'~'1~
safe le'~ e[~, and special ptovlslons v, ould
still be necessary for high-risk groups
such as cnal uranium ~nd asbe,,Ios
workers
bn err h( ~er hould
c aisle, ]~,e • , s not be ~i~
allotted to dilule the implication of these
dala, namely that a rapid shift in cig~
rettc consumption habits toward the pro
po~,ed range of critical vdues waubi
SCIENCE. VOI 194

make il reasonable to e~poct that lhe
currenl epldemie proportions of stunk
it/g related diseases could be reduced to
nlinimal levels ]n slightly over a decade
(2). This expectatlon is plausible because
cunem technology can reduce the
specific toxicity of smoke condensate
well below the levels prevailing before
1960 (tt, 16, I8)
All of this evidence is not new, as mum
of the epidemiological studies repolted
were completed I0 years ago h ~as
disregarded, however, fo/ t~o reasons
The critical values were tDaught to he
too Io~ and beyond manufacturel s" capa
bilities, and there was an ethical eonflicl
with prevailing antismoking attitudes
that have recenlly given ~ay 1¢~ a more
pragmatic approach,
The technology for producing ciga-
rettes, lO to 20 of which per da'~ deliver
smoke within the suggested range, has
been developed and can be applied on it
mass scale by the skilled cigarette manu
facttlrer I'hus Ihe 5ingle atol~ iroporlaal
and potcntialiy successful disease pre-
vention oprmrlunit} in contempol al y so
ciety can be set in mutio~ by responsible
marketing decisions in the cigarette ilt-
dtlsIry, by a major public e dug ltion drive
leading smokers to new palterns of u¢-
ceptance, and h~ the promulgation oP
judicious legislative incentives
Not the least ptonllse of low-hazard
¢~garetles is th~l a low delJv~gy of ~i¢O-
tin¢ and smoke will reduce thep habh.
forming features, and ~ill make il easler
for smukels to quit altogether
Since the~e approaches are feasible.
delays are difficult to justif!*; the altcrn ~
tire is the ¢ontimlalJon of hund[eds of
Ih~aamls of premavare death s ~lnd many
more disabilities every year
Sllmmar5
Antlsm(lking education c~ml~algns ~n
olaf ~oclet}, have met with only paltia/
success: today 55 to 60 million Ameli
cans smoke, and the habit is incleasing
among leen leers and womc n 11 is impor
rant to protect individuals who continue
Io Sfttoke despite all warnings There is
evidence that this can he ucet~mplished
in at least two ways. .
First, it may be possible to remove
toxic smoke components alld tllus r~-
dace sFecJ~ic hazard~. Second, the dos~
mspon~ evidence suggeMs lhat, if the
total intake of ~,noke can be reduced,
after an appropriate time a reduction in
disease incidence should occur, fhe
techaology to achieve these results has
been developed and can be applied to the
monutaclure o( coolmerclal t;igamt~es
[7 DECEMII['R 197fl
Tab}¢ 3 (.!a,*ica~ vaJues of daffy intake 19" se.
letted ~moke total'orients ba~cd on d~ll:~ as~o
elated whh all causes oi disease moria]ily for
curret~t smoker~ For COl4b, crlti~l valucx
are ~4~lessed ul reims of the perce~ti~¢ in
creasl~ of COH b in ¢h¢ smoker s blood, as de
scribed in (JTI For th~ lemalmllg com-
ponents, the critical values liste0 in Table I
for "all ~.ause~ for currchl smoker~" w~re
mu[t i~]ied b~ dl~ con esl~I~ding average deliv
edc~ of s m0k~ compon~nl~ li~t ed in Table 2 IO
obtai~ critical v Mt]es in I~rms o~ s ruok¢ tom
portents
Cfili,~al values
Smoke
gompot~ent {1) (2) (3)
Low ,*vvg Hig~
~ar (me) 65 86 151
Nicn n (me) 4.5 6 0 10 5
COHb (increase. %) 2,6 32 4 8
NO,f~g) 40~ 540 945
HCN l~g) 492 820 1435
Acroleln l~gl 156 2,30 455
Thexe cigmettes will nol conlnlln to ira
lllllollal I]avor pillle~nR, but {'otl,,unlcr
peoge~tion can be made to chat~ge and
cortlpcnsating flavors and I~agt ante,, can
be added
The feasibility of le~s hazardou eiga
rett¢~ ndses lhe question of whethc]
1here are limits of cigarette and smoke
¢or0posltlon tflat may itpptoach refallve
"~dety. I here limits can be defined as lhe
smoke intake doses at ~hich the r[~k of
disease Jn smokers apl~ro~lc})es ~J~l] ill
nonsmokers Such values can he e~li
maled by dose-response analysis ot ~ev
eral epidemiological ~tudies and by ex-
trapo[ttlon of Hood concentlations at
different rale~ of inlake fol cerl,dn
smoke components~ such as carbon mon-
oxide• Critical values determined hy
these methods should rmt be interpreted
as indicators o5 safe smoking levels; they
do imply, however, that a r'apid shift in
cigarette consumption habits towdrd Ihe
pt nlx~sed range of wdues will make pus
sible a subslml[~d ledu¢tion in the cur
rent epidemic propo/Titms of stlloking-
related dlse lses
Tabl* 4 Daily ¢,igarenc consumption needed
to reach critical COHb [evt~ls, as a t unction of
CO delivery per cigaretle It is asstl~¢d that
the ~o:lMl:llpfitln ~f ¢ige~ettes i~ everdy
spaced over a I 0-hour p¢~od; see 151)¸
CO delivery Daily clgareltc consumption
g~e[ ~Low Average High
cigarette Clltic~l critical critical
(~gl va]ue value valu~
2 J9 22 35
5 8 10 16
10 4 5 7
15 2 3 5
20 2 2 4
R~f~rell¢¢s *aid Not~
{ [966L p~ i271 in E~i,o~m,~l,,; Faemr~ ~,~ Be
~raro,v DJae~e, FI~ K Dee Ed {Academic
~e~, Ne,~ York 1972); O rl~erba~h, ~ P
Slom~ E~ C Hamrn~d~ I G~rfinkeL ,'~, En~l
Mea~ ~65, 253 (196~/
A drawer* £ ommmee m the Su,x, er~ ~ Ge~,,~ ,~f
file P.bfi( Hea,'r~ ~lerefce ~Go~e nlme~t Fllmin
g
Office, W~hmgt,an, DC [g,64); The tleu,'th
Co~euuence~ ~d'SmoLi,~g--1~74 (Go~emment
pnnfin t I~ce~ Washington. l) C , t97al; World
H~a t Org~n,~auon~ ~1t0 gec,l~ Rep Ser~ ~%o
3 M A Schneiderman ~nd D • Lelm. f,,neer
30 1310 (19~2K E L~ "~'y nde r ~ L S Co,~ey, K
Mabu~hi. J bead £a~re, l~1~ ~t, 391 [1973~;
U~S~ Department of HeaRh. Educanon a~d
We[[are Th~ Ad~,q [~e erTr,bmeu 1970 ~E'e~
ter for DK~a,e Control. nurca/l of H~a]th E~uea
tiom Attanm. t97~
4 E L Wynder K klahuchL E I Be~uie Jr •2
Am Med• A~v~ 213 22~1 (1970); L D t~ross
and R~ GibsOn~ Ar~ J~ p,,~&, Heo~th ~1, t396
(196g).
5 E L Wyader and D Hoffmann• J ,'4a. Can
eer lnl:~ Sit 513 ~19~i
i,~ b~perime,md Carcm,,g~e~i~ ~Aea,lemie
~aess Ne~*, ~onq 1967L
7 G B Ce~i,S P I$~niita, P ,t,~ Tha~er "M R,
Guerirl, C ] L~n~h~ (fiem~tlr, and In Vim~
B#,a~v elf Smoke fro,,i Ev~,,r~m~.ml elan
rette~ [)HEW Phil !N[H]76 1076• GO~¢IT~
m~l J~n n~iog (IfB~e Wash nyto~ D C • J 975/.
nin~ ]. Sk~i~t. P G~ Here/d, Eds (Amefica~
Chcmmal ~ciet~ Chemical Mm kefing anti Ect>
nomi~ l~qston, [~m~kl~n, N y,, 1975), p~ 239;
D F Ms~zlnger atld F A. W~m~mam in pro
ceedi~dr ,~f ~he 51h l~ternallona~ Toba((u St;
e~e L ~ng~e~s (llamhurg~ [~70). p 6g
9 E~ L '&~nder al~d D~ 14~ffmtmn, N~ L,,gl J
Med 262, !4@ {/963L
IO~ D V¢ D¢]ol~g,J Lam~g [o~e,E yod~r~T~
C T~ Be~l~ Tab~&lorlch~ 8, ~3 (19751
II G B~ G~n, m Proeeedlngs ~f Ihe 3rd ~orld
('o~feze~ce on Sm,,M,~g dad Health ~ E, • Vein
der I~ Hoffmann, G B Gun, Hd~ IGovem
raenl ~nlJng tSgfice• gea~bJt~gllm• D~H 1976),
pp~ 451~L
/~abek/orw'h g 4~ (]975); W, H Iohn~on, in
5 c~em:e Co,tgre~s ~Ham~uxrg~ t970), p t4L
13 G Re~nlk, H Rezrdk Sehullev, H Scho~lek, K
Depp~ U Mohn Arz~e~m Foz~ch, ~, 923
0975)¸
14 ~ Dolt en',~ilL H L ChcvalieL H P IIzrke•U
C,iacer bra/ $1, Z?~I /l~7~l~
15 "~. F~ntlrt,vilI, H j Che~aller, II P Halke•H
J K]lmi~ch• U Lafr~nz, O Re~kzeh, B
bSeis~ma~n W Keller• Z Kreb~forsch ~11,
236 (1972)
Ita~ardous C;gar~rre~ ~he/-irst Set orE /,er]~
mental C~gare.e~ DHE'& F'ab tNiH 7~ 905~
Government printing Dffic¢~ ~a~llh~mn. D L ~,
1976~
tL 14 M H,*[~erandT~L lto,J Naet (aneer~nst
~ t8,5111972}; D Hoffm~mu and E I.~ W%r~der,
ibid,~ p 1955~ E I. Wy~der ~nd D~ H0ffmanm
J Am Med 4~$o~ 192 g~!196!)
18~ E [ WynderandD Hoffmun~,S~ie,tce 11~,
g62 U9681
zg, C / Ker, sler ~m/ $. P Zta~osta, :;~" A,,%
Re,pit U~¢ '~3 93 966 ;~'¢ ~,t¢1 J Med 269•
1161 (19631¸
20 O. Au~rba.h E C H~mmond• D Kirmall• I
Garfi~keL I~ ~A ~t7 Syrup Set Ig, 375 !197()}; G
FreemoJL S • trine, N~ ~, FuriosL R L
Slepht as. M L Evarts~ W~ ~ Mutate ~m Rev~
RerpJ~ D,s 1~i~ 563 (1972)
21 U $ Public Health 5emlce lturmfu~ Cons:ilu. t~
e~t~ ef C~gare~te 5mu~e DHEW p~lt,~
!HSMI72.7516, Gover~mertt pdntn~ Office,
Washi,~loa, D,( • 1~72L p 137
2L S S Heeh( and E L 'a, ~der" in Pr.,'ee41ng~
oJ 'he t,d 19otis Cor{fe,,enle on freaking and f~
Health, E I ~. nder D ~offmanu, G B
God. gds (Gover~mem Pan~mg emlce, ~,ah
i~g~,,~, D C Z976/ pp ~92 202 H P .~egge
and J Bolllqum Bettr la~a~for$ch ~, 21 ~
(1~1); K D Bmnnem~nn It.c lee D. It~ff ~
mann, in ~revaration; S S ItedlL R Tl~0rne,
R R Maron~ot I3 Hoffman~ J ,',,arl C~ncer
23 S P Ilatfi~t~ Jn#roceedmg~rth~,Jedl~'orM
124S

der~ D H,ff"n'ann~ G B ~3on~ ~d~ ~ ~,cm
ment pnncln~ Of~e~ ',~,,blnglon D L~. I~¢,L
p 517 5?4; -- and C J Kcn,IcL ~r,~
Naff~ Cancer /n~l ~0~ I~1 H~72k ~ A~ M~T
tell ~,r ~ i~ ~3 404 L[97~)
ard. p G ScniIh K Kjetd~em ~, ~cd J l
N ~lrauch '~ J I-~rlu[n J H Keelso~,Aeln
2~ ~ S ~rnn~w, ~e, ~d ~ 952 [197~);
~e~ Me#~ 74. 69~197~): ~( (~reen,p~n ~ E
lern Med 1~3 ~07(1~59L
Feye~bend p V C~le B, ~¢d J ~ 4[4
11975)
2~ N D Bnlnn~mann ~nd D l~offmann ~bod
2~ H Sch,evelbein ~d l~ Eberh~rdl,y N~ C~
~moktng and lJeal~h p~u~r,~m Ss~r~s /~e~,~tt
(National Cancer lnslilUte ~ethcsda M~ Ja~ll
3Z Four ~c,urced~urncn1~c~,mlJne~ surnmar~e of
the ~la~ a~ed to compute ~he critical value, of
~il~ clgareltt eoe~umpU~)m Follo,~ h~g i5 .1 llsl
qf Ihe~e d~,~ume~ts the ~udte5 wlthL~ eac~
~ocumem T~II? were LI Se kl TO ~Ompute 1he ¢1111~aJ
~alues and ~lle result ~ ol :he ~mpu~atlOn
II From Smokln ~nd heNth rep~rl ~rllw
Adv s~lry Cn~ mlt[ee ~o [hc Surgeon ( enera e
the PUblic He,It h Se~vi~e " [U3 Publ( /~e~#h
~e¢~ p~bf 1103 {19~h4} p~ 89 anti 3241 the
• ,~s 3 m 4; for mol~aliE~ ~rom all cau~c~ ~- nnalc
~,lr~nt .mok~rs CV ~s I ~o 2 ia a ~t~d~ ~f
men in n~ne ,l~es ~J ~ I ~o 2 in a s~udy ~I U S
~e~eran~ ~4). ! TO 4 in an ~¢¢u~aliona: st ~1~/y in
C~lifornia ~35). ~nd 2 t~ ~ ,n ~ s~ldy ~f men ill 25
~ille sta~es [~L 3 m 4 ~r I] S v~tcrans ~41
Dnd 4 tn 5 fnr r~en in 25 ~le ~ (J~
_~ I-ram -T~e hea~c~ ¢o~eguence~ of ~mck
i~g ~ Public lteallh $er~i¢¢ Fe vie~ 1967¸ IU
¢irrhost~ ~f the liver¸ > [0 fur cancer oF the
(?7): > 10 ~r cmphyserem bronch~ti~ ~r ~rh in
3~ F~m The healltt ¢~qacnccs of ~m~k
]n~ a r~ >~ t~, the Siirge~ G~ncra/ 1971¸¸
~OH~ ~ub!, IHSM, 71 7!13 IJ~7[) pp 2~1
~3 286. 299 294 298 ~mi !f~) ( V ~s 4 Io 5
1o 2 for hm~ ¢~nccr in U S v¢~r~n~ (~7); 0 7 ~r
(41 I: 4 1o 5 fOF lung c~n~cr i~ ~ 2tli f~lr n~:, malc~
I~2 ): arid > l~ for Junk cancer ~ J~pa.~ mak~
ic,n ~LldV t96~197~ in l~r¢ ,) ~r ma[~, •V
wa~ t~ o~K~¢~b~rgc~pe[ungcancer ,~9
~or Kr¢ berg t p~ 11 lung cancer ? c~ 8 ~r
~ancer of the ~ral ca,~it~ > IU or cancer o t c
I~rynx > 10 fc~r es~hage~l ¢a~¢er and ~ 10
3? Whi~e ~e.~an m~le~ enrolled by ~hc Ame~
~a~ Cancer S~ie~y in rlilk¢ ~tal~ [E E Ham
~4 V~ter:m~ ,~ho ,elvc2 he~cc~ 1917 ~cl ~0
and ~er~ ~fi~ ~ hOId~r, O~ L~ $ g~,vem menl I,~
~5 Men 3~ t~, 64 ~cur~ old m ~,n~ ~c~J~tllun, in
36~ E L Hammond a~d J Lamn~L Arc,t ~
~9 A J Wickc~ h,h R~, (~)~r R,x p,~ 9
I t~,)
4O ~ D~IJ ;~nd ~ B Hill ~/r ~,/¢d J '*,, 53~
42 J H W~ir;mdJ F Dunm~h~l 25 I~S~l'l~0)
Fpid~rn~l~og~ Division fokyu~ September
194~L
~naJ~zcd ~e/~lralely ~r c~ch ,~l~y 1he d~a
~ilh ~c number of cigar u~es ~on~urled d~dlv:
for exampl~ I.r n~ ~ig:~rcl~cs the I~bliv~ li~k
Io 2~ ¢iK~rett~ 991; ~r 20 ~ ~9 dg~rctte,
I~AI: a~d f~r > ,~o ~ i~arc~c, 21 ~ ~ lru r ,*>me
~mdie, the ca:egori~, ol d~]y ~ig~le~ e~m
~mpw~n 4iff¢c~d from the,¢~
~ used in I~e ca~culati~>n. I bus ~r ~he e~
relative li,K ~ 9 ~1 ;~nd ~ ~r~h When ~b~
~i~hes~ da[l~ c~n,ump~ion v~l~e wa, c~prc,,e~l
~s ~n ,~-~<~ed h ~t such as > ~0 the
~raphicaJ ob~r~ali~n and ,frm,~al an~,ly,i,
~g~c,~e~l thai 1he gJ~drad~ function ~Eq II
c~ampJe~ 1~e ~rre~tcd malllpl~ ~,cmcient of
I~ 0)93 ~ * 10 9~3 × i~1 ~,~ {2}
The ~lc ×~ ,~p ~n ~h¢ analv .i, ~d • C~ ~U]¢U a~e,
~r ~a~h ,~Jd~ the I¢1•~ ,igmficaat dtff~'rcncc
E~rnaTcd rci~rlVe ri,k~ ~cre compu~e~ from
~nd 2 ctgu reties Per d~y
124~
