]onb ]onb ?? cj cj ???? Daoptbr Daoptbr — —>> J`eoi FN J`eoi FN Bxbrd`sb -: Bxbrd`sb -: Oeswbr ? Oeswbr ? N`vbe8-?. ?. K`spiodblbet < 11==tK`spiodblbet < 11==t 7. 7. FN < :.7lFN < :.7l 4. 4. Icokbk (w) < 7==t (FN < ?.>l)Icokbk (w) < 7==t (FN < ?.>l) FN FN cj cj vbssbi vbssbi < < :.7l:.7l FN cj icwbr acik <- 7.=l FN cj icwbr acik <- 7.=l K ↔ K ↔ < < ;.7l;.7l J`eoi K`spiodblbet (^) <
J`eoi K`spiodblbet (^) < K`spiodblbet cj vbssbi + dorncK`spiodblbet cj vbssbi + dornc J`eoi K`spiodblbet (^) < 11==t + 7==t J`eoi K`spiodblbet (^) < 11==t + 7==t J`eoi K`spiodblbet (^) < 0===t J`eoi K`spiodblbet (^) < 0===t NN‐ NN‐ < < w w * * kk ^ ^ NN‐ NN‐ < < 7== 7== * * ;.7;.7 0=== 0=== NN‐↔ NN‐↔ < < =.=04l=.=04l @e`t`oi
@e`t`oi FN FN cj cj vbssbi vbssbi < < :.7l:.7l NN‐↔
NN‐↔ <-=.=04l<-=.=04l J`eoi
J`eoi FN FN cj cj vbssbi vbssbi < < :.?=?l:.?=?l J`eoi FN cj tab vbssbi `s :.?=?l J`eoi FN cj tab vbssbi `s :.?=?l
w < 7==t w < 7==t FN < ?.>l FN < ?.>l FN < :.7l FN < :.7l K`spiodblbet < 11==t K`spiodblbet < 11==t
]onb ]onb 77 cj cj ???? Oeswbr 7 Oeswbr 7 N`vbe8-?. ?. K`sdaornbk (w) < :==t (FN < ??l)K`sdaornbk (w) < :==t (FN < ??l) 7. 7. FN cj vbssbi < :lFN cj vbssbi < :l 4.
4. @e`t`oi K`spiodblbet < ?7:==t@e`t`oi K`spiodblbet < ?7:==t
FN FN cj cj dornc dornc < < ??l??l FN FN cj cj vbssbi vbssbi <-:l<-:l K ↔ K ↔ < < 2l2l
J`eoi k`spiodblbet (^) < @e`t`oi k`spiodblbet
J`eoi k`spiodblbet (^) < @e`t`oi k`spiodblbet — — k`sdaornbk dornc k`sdaornbk dornc J`eoi k`spiodblbet (^) < ?7:==t J`eoi k`spiodblbet (^) < ?7:==t — — :==t :==t J`eoi k`spiodblbet (^) < ?7===t J`eoi k`spiodblbet (^) < ?7===t NN‐ NN‐ < < w w * * kk ^ ^ NN‐ NN‐ < < :== :== * * 22 ?7=== ?7=== NN‐ NN‐ < < =.72l=.72l @e`t`oi @e`t`oi FN FN < < :l:l NN‐ ↔ NN‐ ↔ <-=.72l<-=.72l J`eoi J`eoi FN FN < < 2.>2l2.>2l J`eoi FN cj vbssbi `s 2.>2l J`eoi FN cj vbssbi `s 2.>2l w < :==t w < :==t FN < ??l FN < ??l FN < :l FN < :l K`spiodblbet < ?7:==t K`spiodblbet < ?7:==t
]onb ]onb 44 cj cj ???? Oeswbr 4 Oeswbr 4 N`vbe8-?.
?. @e`t`oi K`spiodblbet < 00==t@e`t`oi K`spiodblbet < 00==t 7. 7. FN < ;lFN < ;l 4. 4. Icokbk (w) < ?==t (FN<?2l)Icokbk (w) < ?==t (FN<?2l) FN FN cj cj dornc dornc < < ?2l?2l FN FN cj cj vbssbi vbssbi <-;l<-;l K ↟ K ↟ < < ??l??l @e`t`oi
@e`t`oi k`spiodblbet k`spiodblbet < < 00==t00==t Dornc
Dornc icokbk icokbk <+?==t<+?==t J`eoi
J`eoi k`spiodblbet(k`spiodblbet(^) ^) < < ?====t?====t NN‐ NN‐ < < w w * * kk ^ ^ NN‐ NN‐ < < ?== ?== * * ???? ?==== ?==== NN‐ NN‐ < < =.??l=.??l @e`t`oi @e`t`oi FN FN < < ;.==l;.==l NN‐ ↟ NN‐ ↟ <+=.??l<+=.??l J`eoi J`eoi FN FN < < ;.??l;.??l J`eoi FN cj vbssbi `s ;.??l J`eoi FN cj vbssbi `s ;.??l w < ?==t w < ?==t FN < ?2l FN < ?2l FN < ;l FN < ;l K`spiodblbet < 00==t K`spiodblbet < 00==t
]onb ]onb ;; cj cj ???? Oeswbr ; Oeswbr ; N`vbe8-?. ?. K`spiodblbet < ??2==tK`spiodblbet < ??2==t 7. 7. FN < :.4lFN < :.4l 4. 4. K`sdaornbk (w) < 2==t (FN < 4 l)K`sdaornbk (w) < 2==t (FN < 4 l) FN FN cj cj vbssbi vbssbi < < :.4l:.4l FN cj icwbr acik <- 4.=l FN cj icwbr acik <- 4.=l K ↔ K ↔ < < 4.4l4.4l
J`eoi K`spiodblbet (^) < K`spiodblbet cj vbssbi - dornc J`eoi K`spiodblbet (^) < K`spiodblbet cj vbssbi - dornc J`eoi K`spiodblbet (^) < ??2==t - 2==t J`eoi K`spiodblbet (^) < ??2==t - 2==t J`eoi K`spiodblbet (^) < ??===t J`eoi K`spiodblbet (^) < ??===t NN‐ NN‐ < < w w * * kk ^ ^ NN‐ NN‐ < < 2== 2== * * 4.44.4 ??=== ??=== NN‐↟ NN‐↟ < < =.?2l=.?2l @e`t`oi
@e`t`oi FN FN cj cj vbssbi vbssbi < :.4l< :.4l NN‐↟
NN‐↟ <+=.?2l<+=.?2l J`eoi
J`eoi FN FN cj cj vbssbi vbssbi < < :.;2l:.;2l J`eoi FN cj tab vbssbi `s :.;2l J`eoi FN cj tab vbssbi `s :.;2l
w < 2==t w < 2==t FN < 4l FN < 4l FN < :.4l FN < :.4l K`spiodblbet < ??2==t K`spiodblbet < ??2==t
]onb ]onb 22 cj cj ???? Oeswbr 2 Oeswbr 2 N`vbe8-?.
?. Dornc sa`jtbk (w) <2==tDornc sa`jtbk (w) <2==t 7. 7. K < ?2l ↔K < ?2l ↔ 4. 4. K`spiodblbet (^) < ?====tK`spiodblbet (^) < ?====t NN‐ < NN‐ <w * kw * k ^ ^ NN‐ < NN‐ <2== * ?22== * ?2 ?==== ?==== NN‐ < =.>2l↔ NN‐ < =.>2l↔
FN cj tab sa`p w`ii kbdrbosb gbdousb dornc aos gbbe sa`jtbk vbrt`doiiy kcweworks. FN cj tab sa`p w`ii kbdrbosb gbdousb dornc aos gbbe sa`jtbk vbrt`doiiy kcweworks.
Oeswbr : Oeswbr : N`vbe8-?. ?. K`spiodblbet (^) < 0===tK`spiodblbet (^) < 0===t 7. 7. FN cj sa`p < ?=.2lFN cj sa`p < ?=.2l 4.
4. Dornc sa`jtbk (w) < 4==tDornc sa`jtbk (w) < 4==t ;.
;. FN cj Icwbr Acik < 7.2lFN cj Icwbr Acik < 7.2l 2. 2. FN cj Rppbr Kbdf < ??.2lFN cj Rppbr Kbdf < ??.2l w < 2==t w < 2==t K ↔ K ↔ < ?2l < ?2l K`spiodblbet < ?====t K`spiodblbet < ?====t w < 4==t w < 4==t FN < ??.2l FN < ??.2l K`spiodblbet < 0===t K`spiodblbet < 0===t FN < ?=.2l FN < ?=.2l FN < 7.2l FN < 7.2l
]onb ]onb :: cj cj ???? FN FN Rppbr Rppbr Kbdf Kbdf < < ??.2l??.2l FN Icwbr K FN Icwbr Kbdf bdf < - 7.2< - 7.2ll K ↟ K ↟ < < 0.=l0.=l NN‐ NN‐ < < w*kw*k ^ ^ NN‐ NN‐ < < 4== 4== * * 00 0=== 0=== NN‐ ↟ NN‐ ↟ < < =.4l=.4l @e`t`oi
@e`t`oi FN FN cj cj vbssbi vbssbi < < ?=.2l?=.2l NN‐ ↟
NN‐ ↟ < < +=.4l+=.4l J`eoi
J`eoi FN FN cj cj vbssbi vbssbi < < ?=.1l?=.1l J`eoi FN cj vbssbi `s ?=.1l J`eoi FN cj vbssbi `s ?=.1l Oeswbr > Oeswbr > N`vbe8-?. ?. K`spiodblbet (^) < 0==0tK`spiodblbet (^) < 0==0t 7. 7. FN cj sa`p < 1.>lFN cj sa`p < 1.>l 4.
4. J`eoi FN rbqu`rbk < 0lJ`eoi FN rbqu`rbk < 0l ;.
;. FN cj Rppbr Kbdf < ?2lFN cj Rppbr Kbdf < ?2l
Ibt
Ibt dornc dornc tc tc gb gb icokbk icokbk < < ww FN FN uppbr uppbr kbdf kbdf <?2l<?2l FN FN cj cj vbssbi vbssbi <-1.>l<-1.>l K ↟ K ↟ < < :.4l:.4l J`eoi
J`eoi FN FN rbqu`rbk rbqu`rbk < < 0l0l FN FN cj cj vbssbi vbssbi <-1.>l<-1.>l NN‐ ↟ NN‐ ↟ < =.< =.4l4l NN‐ < NN‐ <w * kw * k (^+w) (^+w) w < 3 w < 3 FN < ?2l FN < ?2l K`spiodblbet < 0==0t K`spiodblbet < 0==0t FN < 1.>l FN < 1.>l
]onb ]onb >> cj cj ???? =.4 < =.4 < w * w * :.4:.4 0==0 + w 0==0 + w =.4(0==0+w) < :.4w =.4(0==0+w) < :.4w 7>=7.> + =.4w < :.4w 7>=7.> + =.4w < :.4w 7>=7.> < :.4w 7>=7.> < :.4w — — =.4w =.4w 7>=7.> < :w 7>=7.> < :w 7>=7.> < w 7>=7.> < w : : ;2=.;2t < w ;2=.;2t < w
Dornc tc icok tc gr`en rbqu`rbk FN tc 0l `s ;2=.;2t Dornc tc icok tc gr`en rbqu`rbk FN tc 0l `s ;2=.;2t
Oeswbr 1 Oeswbr 1 N`vbe8-?.
?. Abok cj kbrr`df < 7=l ogcvb fbbiAbok cj kbrr`df < 7=l ogcvb fbbi 7.
7. ^b`nat cj icdclct`vb (w) < 4==t^b`nat cj icdclct`vb (w) < 4==t 4.
4. FN cj uppbr kbdf < 1lFN cj uppbr kbdf < 1l ;.
;. FN cj icwbr kbdf < 7lFN cj icwbr kbdf < 7l 2.
2. @e`t`oi k`spiodblbet (^) < ?7===t@e`t`oi k`spiodblbet (^) < ?7===t :.
:. @e`t`oi FN cj tab vbssbi < >.:l@e`t`oi FN cj tab vbssbi < >.:l
FN < 7l FN < 7l w < 4==t w < 4==t FN < 1l FN < 1l K`spiodblbet < ?7===t K`spiodblbet < ?7===t FN < >.:l FN < >.:l FN cj kbrr`df < 7=l FN cj kbrr`df < 7=l
]onb ]onb 11 cj cj ???? (o) (o) FN FN cj cj kbrr`df kbrr`df < < 7=l7=l FN FN cj cj icdclct`vb icdclct`vb < < -1l-1l K ↟ K ↟ < < ?7l?7l NN‐ < NN‐ <w * kw * k ^ ^ NN‐ < NN‐ <4== * ?74== * ?7 ?7=== ?7=== NN‐↟< =.4l NN‐↟< =.4l @e`t`oi
@e`t`oi FN FN cj cj tab tab vbssbi vbssbi < < >.:l>.:l NN‐ ↟
NN‐ ↟ <+=.4l<+=.4l J`eoi
J`eoi FN FN cj cj tab tab vbssbi vbssbi < < >.0l>.0l (g)
(g) FN
FN cj cj icdclct`vb icdclct`vb < < 1l1l FN
FN cj cj icwbr icwbr acik acik <-7l<-7l K ↔ K ↔ < < :l:l NN‐ < NN‐ <w * kw * k ^ ^ NN‐ < NN‐ <4== * :4== * : ?7=== ?7=== NN‐↔< =.?2l NN‐↔< =.?2l @e`t`oi
@e`t`oi FN FN cj cj tab tab vbssbi vbssbi < < >.:l>.:l NN‐ ↔
NN‐ ↔ <-=.?2l<-=.?2l J`eoi
J`eoi FN FN cj cj tab tab vbssbi vbssbi <>.;2l<>.;2l o)
o) FN cj tab vbssbi wabe kbrr`df aos tofbe tab wb`na cjj tab uppbr kbdf `s >.0l.FN cj tab vbssbi wabe kbrr`df aos tofbe tab wb`na cjj tab uppbr kbdf `s >.0l. g)
]onb ]onb 00 cj cj ???? Oeswbr 0 Oeswbr 0 N`vbe8-?. ?. K`spiodblbet (^) < ;02=tK`spiodblbet (^) < ;02=t 7. 7. FN < 0.7lFN < 0.7l 4.
4. ^b`nat cj icok <2=t^b`nat cj icok <2=t ;. ;. FN uppbr kbdf < 1lFN uppbr kbdf < 1l 2. 2. FN cj kbrr`df < 72lFN cj kbrr`df < 72l o) o) FN FN cj cj kbrr`df kbrr`df < < 72l72l FN FN cj cj sa`p sa`p <-0.7l<-0.7l K ↟ K ↟ < < ?2.1l?2.1l NN‐ NN‐ < < w w * * kk ^ + w ^ + w NN‐ NN‐ < < 2= 2= * * ?2.1?2.1 ;02= + 2= ;02= + 2= NN‐ NN‐ < < 2= 2= * * ?2.1?2.1 2=== 2=== NN‐ ↟ NN‐ ↟ < < =.?21l=.?21l @e`t`oi Fn
@e`t`oi Fn cj sa`p cj sa`p < 0.7l< 0.7l NN‐ ↟ NN‐ ↟ <+=.?21l<+=.?21l J`eoi FN cj sa`p < 0.421l J`eoi FN cj sa`p < 0.421l w < 2=t w < 2=t FN < 1l FN < 1l K`spiodblbet < ;02=t K`spiodblbet < ;02=t FN < 0.7l FN < 0.7l FN cj kbrr`df < 72l FN cj kbrr`df < 72l
]onb ]onb ?=?= cj cj ???? g) g) FN FN cj cj sa`p sa`p < < 0.7l0.7l FN FN cj cj uppbr uppbr kbdf kbdf <-1.=<-1.= K K↔↔ <?.7l<?.7l NN‐ NN‐ < < w w * * kk ^ + w ^ + w NN‐ NN‐ < < 2= 2= * * ?.7?.7 ;02= + 2= ;02= + 2= NN‐ NN‐ < < 2= 2= * * ?.7?.7 2=== 2=== NN‐ ↟ NN‐ ↟ < < =.=?7l=.=?7l @e`t`oi Fn
@e`t`oi Fn cj sa`p cj sa`p < 0.7l< 0.7l NN‐ ↟
NN‐ ↟ <-=.=?7l<-=.=?7l J`eoi FN cj sa`p < 0.?11l J`eoi FN cj sa`p < 0.?11l
o.
o. FN cj tab sa`p wabe wb`nat `s aoen`en gy tab kbrr`df `s 0.421lFN cj tab sa`p wabe wb`nat `s aoen`en gy tab kbrr`df `s 0.421l g.
g. FN cj tab sa`p ojtbr icok`en `s 0.?11lFN cj tab sa`p ojtbr icok`en `s 0.?11l
Oeswbr ?= Oeswbr ?= N`vbe8-?. ?. FN FN cj cj kbrr`df kbrr`df < < 77l77l 7.
7. ^b`nat k`sdaornbk (w) < 7=t (FN<2l)^b`nat k`sdaornbk (w) < 7=t (FN<2l) 4.
4. @e`t`oi k`spiodblbet(^) < :===t (FN<1l)@e`t`oi k`spiodblbet(^) < :===t (FN<1l)
w < 7=t w < 7=t FN < 2l FN < 2l K`spiodblbet < :===t K`spiodblbet < :===t FN < 1l FN < 1l FN cj kbrr`df < 77l FN cj kbrr`df < 77l
]onb ]onb ???? cj cj ???? o) o) FN FN cj cj kbrr`df kbrr`df < < 77l77l FN FN cj cj dornc dornc < < -2l-2l K ↟ K ↟ < < ?>l?>l NN‐ NN‐ < < w w * * kk ^ ^ NN‐ NN‐ < < 7= 7= * * ?>?> :=== :=== NN‐ ↟ NN‐ ↟ < < =.=2>l=.=2>l @e`t`oi Fn
@e`t`oi Fn cj sa`p cj sa`p < 1l< 1l N NN‐ ↟N‐ ↟ <+=.=2>l<+=.=2>l J`eoi FN cj sa`p < 1.=2>l J`eoi FN cj sa`p < 1.=2>l g) g) FN FN cj cj sa`p sa`p < < 1l1l FN FN cj cj dornc dornc <-2l<-2l K K↔↔ < < 4l4l NN‐ NN‐ < < w w * * kk ^ - w ^ - w NN‐ NN‐ < < 7= 7= * * 44 :=== - 7= :=== - 7= NN‐ NN‐ < < 7= 7= * * 44 201= 201= NN‐ ↟ NN‐ ↟ < < =.=?l=.=?l @e`t`oi Fn
@e`t`oi Fn cj sa`p cj sa`p < 1.=l< 1.=l NN‐ ↟
NN‐ ↟ <+=.=?l<+=.=?l J`eoi FN cj sa`p < 1.=?l J`eoi FN cj sa`p < 1.=?l
o.
o. FN cj tab sa`p wabe kbrr`df i`jts tab wb`nat `s 1.=2>lFN cj tab sa`p wabe kbrr`df i`jts tab wb`nat `s 1.=2>l g.