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[][]\T1/LinuxLibertineT-TLF/m/sc/9 (-20) Problem 1.1. []\T1/LinuxLibertineT-TLF
/m/it/9 (-20) Given a $\OML/nxlmi/m/it/9 c$\T1/LinuxLibertineT-TLF/m/n/9 (-20) 
-TIDB $\LMS/ntxsy/m/n/9 D \U/ntxmia/m/it/9 = []$\T1/LinuxLibertineT-TLF/m/it/9 
(-20) , $[][]$ query[][][]
 []


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\OML/nxlmi/m/it/9 Q$\T1/LinuxLibertineT-TLF/m/it/9 (-20) , and re-sult tu-ple $
\OML/nxlmi/m/it/9 t$\T1/LinuxLibertineT-TLF/m/it/9 (-20) , com-pute the ex-pect
ed mul-ti-plic-ity of $\OML/nxlmi/m/it/9 t$\T1/LinuxLibertineT-TLF/m/it/9 (-20)
 : $[][] []$. 
 []

[1.1{c:/texlive/2020/texmf-var/fonts/map/pdftex/updmap/pdftex.map}

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 [][] 
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\T1/LinuxLibertineT-TLF/m/n/9 (-20) go-rithm that com-putes Prob-lem []1.1[] in
 time $\OML/nxlmi/m/it/9 O[] []$\T1/LinuxLibertineT-TLF/m/n/9 (-20) .
 []


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\T1/LinuxLibertineT-TLF/m/n/9 (-20) This means, when we are okay with ap-prox-i
-ma-tion, that we solve Prob-
 []


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\T1/LinuxLibertineT-TLF/m/n/9 (-20) tech-niques ([[], []]) in set-PDBs need tim
e $\U/ntxmia/m/it/9 
\LMS/ntxsy/m/n/9 ¹\OML/nxlmi/m/it/9 T[] [][]\LMS/ntxsy/m/n/9 º$
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[]
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\T1/LinuxLibertineT-TLF/m/it/9 (-20) the ex-pected mul-ti-plic-ity of the poly-
no-mial $\U/ntxmia/m/it/9 ^^H\LMS/ntxsy/m/n/9 »\OML/nxlmi/m/it/9 Q; D; t\LMS/nt
xsy/m/n/9 ¼$ \T1/LinuxLibertineT-TLF/m/it/9 (-20) (i.e., $[][] []$,
 []

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\OML/nxlmi/m/it/9 Q[] \LMS/ntxsy/m/n/9 ^^B \OML/nxlmi/m/it/9 Q[]$\T1/LinuxLiber
tineT-TLF/m/n/9 (-20) . The lin-eage poly-no-mial for $\OML/nxlmi/m/it/9 Q[]$ \
T1/LinuxLibertineT-TLF/m/n/9 (-20) is given by $\U/ntxmia/m/it/9 ^^H[] []$ 
 []


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 []$[]  \U/ntxmia/m/it/9 ^^H[] [] = ^^H[] []$ 
 []


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\T1/LinuxLibertineT-TLF/m/n/9 (-20) Com-put-ing ex-pec-ta-tion we get $[] [] \U
/ntxmia/m/it/9 = [][] \OML/nxlmi/m/it/9 j[]j[]j[] [] [] [] [] [] []$\T1/LinuxLi
bertineT-TLF/m/n/9 (-20) ,
 []


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 []$[]\OML/nxlmi/m/it/9 A [] B \LMS/ntxsy/m/n/9 Ï \OML/nxlmi/m/it/9 BYE \LMS/nt
xsy/m/n/9 Ï \OML/nxlmi/m/it/9 BZC \LMS/ntxsy/m/n/9 Ï \OT1/LinuxLibertineT-TLF/m
/n/9 2\OML/nxlmi/m/it/9 A [] BYE \LMS/ntxsy/m/n/9 Ï \OT1/LinuxLibertineT-TLF/m/
n/9 2\OML/nxlmi/m/it/9 A [] BZC \LMS/ntxsy/m/n/9 Ï \OT1/LinuxLibertineT-TLF/m/n
/9 2\OML/nxlmi/m/it/9 BYEZC \U/ntxmia/m/it/9 =$ 
 []


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 []$[]\OML/nxlmi/m/it/9 ABX[] \LMS/ntxsy/m/n/9 Ï \OML/nxlmi/m/it/9 AB [][] X[] 
\LMS/ntxsy/m/n/9 Ï \OML/nxlmi/m/it/9 BYE \LMS/ntxsy/m/n/9 Ï \OML/nxlmi/m/it/9 B
ZC \LMS/ntxsy/m/n/9 Ï \OT1/LinuxLibertineT-TLF/m/n/9 2\OML/nxlmi/m/it/9 AX[]BYE
 \LMS/ntxsy/m/n/9 Ï \OT1/LinuxLibertineT-TLF/m/n/9 2\OML/nxlmi/m/it/9 A [][] X[
]BYE \LMS/ntxsy/m/n/9 Ï \OT1/LinuxLibertineT-TLF/m/n/9 2\OML/nxlmi/m/it/9 AX[]B
ZC \LMS/ntxsy/m/n/9 Ï \OT1/LinuxLibertineT-TLF/m/n/9 2\OML/nxlmi/m/it/9 A [][] 
X[]BZC \LMS/ntxsy/m/n/9 Ï \OT1/LinuxLibertineT-TLF/m/n/9 2\OML/nxlmi/m/it/9 BYE
ZC:  $ 
 []


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\T1/LinuxLibertineT-TLF/m/n/9 (-20) tion that we want is $[]\LMS/ntxsy/m/n/9 ¹\
OML/nxlmi/m/it/9 Pr [] ;$ $Pr [] ; Pr []\LMS/ntxsy/m/n/9 º\OML/nxlmi/m/it/9 ; P
r [] ; Pr [] ; Pr [] ; Pr [] ; Pr []\LMS/ntxsy/m/n/9 º$\T1/LinuxLibertineT-TLF/
m/n/9 (-20) .
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\T1/LinuxLibertineT-TLF/m/n/9 (-20) TIDB $\LMS/ntxsy/m/n/9 D$\T1/LinuxLibertine
T-TLF/m/it/9 (-20) , $[][]$ query $\OML/nxlmi/m/it/9 Q$\T1/LinuxLibertineT-TLF/
m/it/9 (-20) , is there a $\LMS/ntxsy/m/n/9 ¹\OT1/LinuxLibertineT-TLF/m/n/9 (-2
0) 1 \LMS/ntxsy/m/n/9 ^^F \OML/nxlmi/m/it/9 ^^O\LMS/ntxsy/m/n/9 º$\T1/LinuxLibe
rtineT-TLF/m/it/9 (-20) -approximation of $[][] []$
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\T1/LinuxLibertineT-TLF/m/it/9 (-20) for all re-sult tu-ples $\OML/nxlmi/m/it/9
 t$ \T1/LinuxLibertineT-TLF/m/it/9 (-20) where $\LMS/ntxsy/m/n/9 9[] \OT1/Linux
LibertineT-TLF/m/n/9 (-20) : \OML/nxlmi/m/it/9 T[]\LMS/ntxsy/m/n/9 ¹\OML/nxlmi/
m/it/9 Q; D; []\LMS/ntxsy/m/n/9 º Ï \OML/nxlmi/m/it/9 T[]\LMS/ntxsy/m/n/9 ¹[]\O
ML/nxlmi/m/it/9 ; ^^O\LMS/ntxsy/m/n/9 º ^^T \OML/nxlmi/m/it/9 O[]\LMS/ntxsy/m/n
/9 ¹\OML/nxlmi/m/it/9 T[] []\LMS/ntxsy/m/n/9 º$\T1/LinuxLibertineT-TLF/m/it/9 (
-20) ? 
 []


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[]\T1/LinuxLibertineT-TLF/m/n/9 (-20) Given that there ex-ists a rep-re-sen-ta-
tion $[][]$ such that $\OML/nxlmi/m/it/9 T[]\LMS/ntxsy/m/n/9 ¹\OML/nxlmi/m/it/9
 Q; D; [][]\LMS/ntxsy/m/n/9 º ^^T
 []


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\T1/LinuxLibertineT-TLF/m/n/9 (-20) the ques-tion of ap-prox-i-ma-tion can be s
tated as the fol-low-ing stronger
 []


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\T1/LinuxLibertineT-TLF/m/n/9 (-20) (since Prob-lem []1.5[] has ac-cess to \T1/
LinuxLibertineT-TLF/m/it/9 (-20) all \T1/LinuxLibertineT-TLF/m/n/9 (-20) equiv-
a-lent \T1/zi4/m/it/9 C \T1/LinuxLibertineT-TLF/m/n/9 (-20) rep-re-sent-ing $\O
ML/nxlmi/m/it/9 Q [] []$\T1/LinuxLibertineT-TLF/m/n/9 (-20) ),
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[][]\T1/LinuxLibertineT-TLF/m/sc/9 (-20) Definition 2.1 (Stan-dard Mono-mial Ba
-sis). []\T1/LinuxLibertineT-TLF/m/it/9 (-20) The term $[][] \OML/nxlmi/m/it/9 
X[]$
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[][]\T1/LinuxLibertineT-TLF/m/sc/9 (-20) Proposition 2.4 ($\OML/nxlmi/m/it/9 c$
\T1/LinuxLibertineT-TLF/m/n/9 (-20) -TIDB \T1/LinuxLibertineT-TLF/m/sc/9 (-20) 
re-duc-tion). []\T1/LinuxLibertineT-TLF/m/it/9 (-20) Given $\OML/nxlmi/m/it/9 c
$\T1/LinuxLibertineT-TLF/m/n/9 (-20) -TIDB $\LMS/ntxsy/m/n/9 D \U/ntxmia/m/it/9
 = []$\T1/LinuxLibertineT-TLF/m/it/9 (-20) ,
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\T1/LinuxLibertineT-TLF/m/it/9 (-20) eage poly-no-mial $\U/ntxmia/m/it/9 ^^H[] 
[] = ^^H[] [] []$\T1/LinuxLibertineT-TLF/m/it/9 (-20) , it holds that $[][] [] 
\U/ntxmia/m/it/9 =
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[]$\T1/LinuxLibertineT-TLF/m/n/9 (-20) , show-ing Prob-lem []1.2[] can-not be d
one in $\OML/nxlmi/m/it/9 O []$
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[][]\T1/LinuxLibertineT-TLF/m/sc/9 (-20) Lemma 3.5. []\T1/LinuxLibertineT-TLF/m
/it/9 (-20) Let $\OML/nxlmi/m/it/9 Q[]$ \T1/LinuxLibertineT-TLF/m/it/9 (-20) an
d $\OML/nxlmi/m/it/9 D$ \T1/LinuxLibertineT-TLF/m/it/9 (-20) be as de-fined abo
ve. Then $\OML/nxlmi/m/it/9 T[] []$
 []


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\T1/LinuxLibertineT-TLF/m/n/9 (-20) In Sec. []3[], we showed that Prob-lem []1.
2[] can-not be solved in $\OML/nxlmi/m/it/9 O []$
 []


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[]$ 
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[][]\OML/nxlmi/m/it/9 O [] :
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\T1/LinuxLibertineT-TLF/m/it/9 (-20) run-time sim-pli-fies to $\OML/nxlmi/m/it/
9 O[] []$\T1/LinuxLibertineT-TLF/m/it/9 (-20) . 
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\T1/LinuxLibertineT-TLF/m/n/9 (-20) If $[]$ is a tree, then the run-time sim-pl
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 []


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[][]\T1/LinuxLibertineT-TLF/m/sc/9 (-20) Corollary 4.10. []\T1/LinuxLibertineT-
TLF/m/it/9 (-20) Let $\OML/nxlmi/m/it/9 Q$ \T1/LinuxLibertineT-TLF/m/it/9 (-20)
 be an $[][]$ query and $\LMS/ntxsy/m/n/9 D$ \T1/LinuxLibertineT-TLF/m/it/9 (-2
0) be a []
 []

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\OML/nxlmi/m/it/9 Q\LMS/ntxsy/m/n/9 ¹\OML/nxlmi/m/it/9 D[]\LMS/ntxsy/m/n/9 º¹\O
ML/nxlmi/m/it/9 t\LMS/ntxsy/m/n/9 º$\T1/LinuxLibertineT-TLF/m/n/9 (-20) , and a
s be-fore, in-ter-pret it as a func-tion $\U/ntxmia/m/it/9 ^^H\LMS/ntxsy/m/n/9 
»\OML/nxlmi/m/it/9 Q; D[]; t\LMS/ntxsy/m/n/9 ¼ \OT1/LinuxLibertineT-TLF/m/n/9 (
-20) :
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) (./app_notation-background.tex [12.12

]
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[]\T1/LinuxLibertineT-TLF/m/n/9 (-20) Since $\U/ntxsym/m/n/9 N\LMS/ntxsy/m/n/9 
»\OT1/LinuxLibertineT-TLF/sb/n/9 (-20) X\LMS/ntxsy/m/n/9 ¼$ \T1/LinuxLibertineT
-TLF/m/n/9 (-20) is the free ob-ject in the va-ri-ety of semir-ings, Birkhoff's

 []


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\T1/LinuxLibertineT-TLF/m/n/9 (-20) The in-ner sum is only over $\OT1/LinuxLibe
rtineT-TLF/sb/n/9 (-20) w$ \T1/LinuxLibertineT-TLF/m/n/9 (-20) where $\OML/nxlm
i/m/it/9  []\LMS/ntxsy/m/n/9 ¹D[]º \U/ntxmia/m/it/9 = \OML/nxlmi/m/it/9 D$ \T1/
LinuxLibertineT-TLF/m/n/9 (-20) (i.e., $\OML/nxlmi/m/it/9 Q\LMS/ntxsy/m/n/9 ¹\O
ML/nxlmi/m/it/9 D[]\LMS/ntxsy/m/n/9 º¹\OML/nxlmi/m/it/9 t\LMS/ntxsy/m/n/9 º¹\OT
1/LinuxLibertineT-TLF/sb/n/9 (-20) w\LMS/ntxsy/m/n/9 º \U/ntxmia/m/it/9 =
 []


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\T1/LinuxLibertineT-TLF/m/n/9 (-20) The in-ner sum is only over $\OT1/LinuxLibe
rtineT-TLF/sb/n/9 (-20) w$ \T1/LinuxLibertineT-TLF/m/n/9 (-20) where $\OML/nxlm
i/m/it/9  []\LMS/ntxsy/m/n/9 ¹D[]º \U/ntxmia/m/it/9 = \OML/nxlmi/m/it/9 D$ \T1/
LinuxLibertineT-TLF/m/n/9 (-20) (i.e., $\OML/nxlmi/m/it/9 Q\LMS/ntxsy/m/n/9 ¹\O
ML/nxlmi/m/it/9 D[]\LMS/ntxsy/m/n/9 º¹\OML/nxlmi/m/it/9 t\LMS/ntxsy/m/n/9 º¹\OT
1/LinuxLibertineT-TLF/sb/n/9 (-20) w\LMS/ntxsy/m/n/9 º \U/ntxmia/m/it/9 =
 []


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[13.13]
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[][]\T1/LinuxLibertineT-TLF/m/sc/9 (-20) Proposition B.4. []\T1/LinuxLibertineT
-TLF/m/it/9 (-20) For any BIDB-lineage poly-no-mial $\U/ntxmia/m/it/9 ^^H\LMS/n
txsy/m/n/9 ¹\OML/nxlmi/m/it/9 X[]; [] ; X[]\LMS/ntxsy/m/n/9 º$
 []


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) (./app_hardness-results.tex

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[]\T1/LinuxLibertineT-TLF/m/n/9 (-20) Since these two se-lec-tions can be made 
in-de-pen-dently, $[] \U/ntxmia/m/it/9 =
 []

[17.17]
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\U/ntxmia/m/it/9 ^^H\LMS/ntxsy/m/n/9 ¹\OT1/LinuxLibertineT-TLF/sb/n/9 (-20) X\L
MS/ntxsy/m/n/9 º \U/ntxmia/m/it/9 = []\LMS/ntxsy/m/n/9 ¹[]º$ \T1/LinuxLibertine
T-TLF/m/it/9 (-20) and let $\OML/nxlmi/m/it/9 k \U/ntxmia/m/it/9 = []\LMS/ntxsy
/m/n/9 ¹[]º$\T1/LinuxLibertineT-TLF/m/it/9 (-20) . Then an es-ti-mate $\LMS/ntx
sy/m/n/9 E$ \T1/LinuxLibertineT-TLF/m/it/9 (-20) of $[]\LMS/ntxsy/m/n/9 ¹\OML/n
xlmi/m/it/9 p[]; [] ; p[]\LMS/ntxsy/m/n/9 º$
 []

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 []


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[]\T1/LinuxLibertineT-TLF/m/n/9 (-20) Set $\LMS/ntxsy/m/n/9 E \U/ntxmia/m/it/9 
= []\LMS/ntxsy/m/n/9 ¹[]\OML/nxlmi/m/it/9 ; \LMS/ntxsy/m/n/9 ¹\OML/nxlmi/m/it/9
 p[]; [] ; p[]\LMS/ntxsy/m/n/9 º\OML/nxlmi/m/it/9 ;$
 []


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[]\T1/LinuxLibertineT-TLF/m/n/9 (-20) For the claimed prob-a-bil-ity bound of $
\OML/nxlmi/m/it/9 Pr [] \LMS/ntxsy/m/n/9 ^^T
 []


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\T1/LinuxLibertineT-TLF/m/n/9 (-20) first by Line []3[] (which by Lemma []D.6[]
 takes time $\OML/nxlmi/m/it/9 O []$\T1/LinuxLibertineT-TLF/m/n/9 (-20) )
 []


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\T1/LinuxLibertineT-TLF/m/n/9 (-20) by Lemma []D.7[] takes $\OML/nxlmi/m/it/9 O
 []$
 []


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\T1/LinuxLibertineT-TLF/m/n/9 (-20) ables. Then \T1/zi4/m/sc/9 v \T1/LinuxLiber
tineT-TLF/m/n/9 (-20) yields the set of mono-mi-als $[][] [] \U/ntxmia/m/it/9 =
 [][]$
 []


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\T1/LinuxLibertineT-TLF/m/n/9 (-20) since for each el-e-ment in the set of cros
s prod-ucts $[]$
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[]\T1/LinuxLibertineT-TLF/m/n/9 (-20) For no-ta-tional sim-plic-ity de-fine $\O
ML/nxlmi/m/it/9 N \U/ntxmia/m/it/9 = []\LMS/ntxsy/m/n/9 ¹[]º$
 []


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[]\T1/LinuxLibertineT-TLF/m/n/9 (-20) For the in-duc-tive step we con-sider a c
ir-cuit \T1/zi4/m/sc/9 C \T1/LinuxLibertineT-TLF/m/n/9 (-20) such that $[]\LMS/
ntxsy/m/n/9 ¹[]º \U/ntxmia/m/it/9 =
 []

[21.21]) (./app_onepass-analysis.tex
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[]\T1/LinuxLibertineT-TLF/m/n/9 (-20) When $[][]\OML/nxlmi/m/it/9 :[] \U/ntxmia
/m/it/9 = \LMS/ntxsy/m/n/9 Ï$\T1/LinuxLibertineT-TLF/m/n/9 (-20) , then by line
 []9[] $[][]$.\T1/zi4/m/sc/9 partial $\U/ntxmia/m/it/9 = [][]$\T1/LinuxLibertin
eT-TLF/m/n/9 (-20) .\T1/zi4/m/sc/9 partial
 []


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een since
 []


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[] \LMS/ntxsy/m/n/9 ¹\OT1/LinuxLibertineT-TLF/m/n/9 (-20) 1\OML/nxlmi/m/it/9 ; 
[] ; \OT1/LinuxLibertineT-TLF/m/n/9 (-20) 1\LMS/ntxsy/m/n/9 º$\T1/LinuxLibertin
eT-TLF/m/n/9 (-20) . Hence, by def-i-ni-tion each such op-er-a-tion takes $[] [
]$
 []

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[]\T1/LinuxLibertineT-TLF/m/n/9 (-20) We now bound the num-ber of re-cur-sive c
alls in $[]$
 []


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[]
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[][]\OT1/LinuxLibertineT-TLF/m/n/9 2[]\LMS/ntxsy/m/n/9 ¹[][]º ^^A [][] Ï \OT1/L
inuxLibertineT-TLF/m/n/9 2[]\LMS/ntxsy/m/n/9 ¹[][]º ^^A [][] Ï \OT1/LinuxLibert
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ntxsy/m/n/9 ¹[][]º Ï \OT1/LinuxLibertineT-TLF/m/n/9 2[]\LMS/ntxsy/m/n/9 ¹[][]º 
Ï \OT1/LinuxLibertineT-TLF/m/n/9 4 \LMS/ntxsy/m/n/9 Ï \OT1/LinuxLibertineT-TLF/
m/n/9 1
 []


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[][]\OT1/LinuxLibertineT-TLF/m/n/9 2[]\LMS/ntxsy/m/n/9 ¹[][]º ^^A []¹[][]º Ï \O
T1/LinuxLibertineT-TLF/m/n/9 2[]\LMS/ntxsy/m/n/9 ¹[][]º Ï \OT1/LinuxLibertineT-
TLF/m/n/9 2[]\LMS/ntxsy/m/n/9 ¹[][]º ^^A []¹[][]º Ï \OT1/LinuxLibertineT-TLF/m/
n/9 2[]\LMS/ntxsy/m/n/9 ¹[][]º Ï \OT1/LinuxLibertineT-TLF/m/n/9 3
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[24.24]
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) (./experiments.tex

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)
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\LMS/ntxsy/m/n/9 D[]$ \T1/LinuxLibertineT-TLF/m/n/9 (-20) is a di-rected acycli
c graph $[]$
 []

[25.25]
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\T1/LinuxLibertineT-TLF/m/n/9 (-20) fol-lows. In each case, let $[]$
 []

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[26.26]
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[]\T1/LinuxLibertineT-TLF/m/n/9 (-20) We prove by in-duc-tion that $[] \LMS/ntx
sy/m/n/9 ^^T \OML/nxlmi/m/it/9 kT[] []$\T1/LinuxLibertineT-TLF/m/n/9 (-20) .
 []


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\T1/LinuxLibertineT-TLF/b/n/9 (-20) Selection\T1/LinuxLibertineT-TLF/m/n/9 (-20
) . As-sume that $\OML/nxlmi/m/it/9 Q \U/ntxmia/m/it/9 = \OML/nxlmi/m/it/9 ^^[[
]\LMS/ntxsy/m/n/9 ¹\OML/nxlmi/m/it/9 Q[]\LMS/ntxsy/m/n/9 º$\T1/LinuxLibertineT-
TLF/m/n/9 (-20) . In the cir-cuit for $\OML/nxlmi/m/it/9 Q$\T1/LinuxLibertineT-
TLF/m/n/9 (-20) , $\LMS/ntxsy/m/n/9 j\OML/nxlmi/m/it/9 V[]\LMS/ntxsy/m/n/9 j \U
/ntxmia/m/it/9 =
 []


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\LMS/ntxsy/m/n/9 j\OML/nxlmi/m/it/9 V[]\LMS/ntxsy/m/n/9 j$ \T1/LinuxLibertineT-
TLF/m/n/9 (-20) ver-tices, so from the in-duc-tive as-sump-tion and $\OML/nxlmi
/m/it/9 T[] [] \U/ntxmia/m/it/9 =
 []


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[]
 []


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\T1/LinuxLibertineT-TLF/m/it/9 (-20) base $\OML/nxlmi/m/it/9 D[]$ \T1/LinuxLibe
rtineT-TLF/m/it/9 (-20) and the $[][]$ out-put by Al-go-rithm []4[], the run-ti
me $\OML/nxlmi/m/it/9 T[]\LMS/ntxsy/m/n/9 ¹\OML/nxlmi/m/it/9 Q; D[]; [][]\LMS/n
txsy/m/n/9 º ^^T
 []


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[]\T1/LinuxLibertineT-TLF/m/n/9 (-20) By anal-y-sis of Al-go-rithm []4[], in-vo
ked as $[][] \LMS/ntxsy/m/n/9   \OML/nxlmi/m/it/9 LC\LMS/ntxsy/m/n/9 ¹\OML/nxlm
i/m/it/9 Q; D[]; \LMS/ntxsy/m/n/9 f\OML/nxlmi/m/it/9 v[]\LMS/ntxsy/m/n/9 g\OML/
nxlmi/m/it/9 ; \LMS/ntxsy/m/n/9 ;\OML/nxlmi/m/it/9 ; \LMS/ntxsy/m/n/9 f¹\OML/nx
lmi/m/it/9 v[]; \OT1/LinuxLibertineT-TLF/m/n/9 (-20) 0\LMS/ntxsy/m/n/9 ºgº$\T1/
LinuxLibertineT-TLF/m/n/9 (-20) . 
 []


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[]\T1/LinuxLibertineT-TLF/m/n/9 (-20) Before prov-ing our run-time bound, we fi
rst ob-serve that $\OML/nxlmi/m/it/9 T[] [] \LMS/ntxsy/m/n/9 ^^U
 []


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\T1/LinuxLibertineT-TLF/m/n/9 (-20) (ii) $\OML/nxlmi/m/it/9 O\LMS/ntxsy/m/n/9 ¹
j\OML/nxlmi/m/it/9 Q[]\LMS/ntxsy/m/n/9 ¹\OML/nxlmi/m/it/9 D[]\LMS/ntxsy/m/n/9 º
 \OML/nxlmi/m/it/9 .[]/ [] .[]/ Q[]\LMS/ntxsy/m/n/9 ¹\OML/nxlmi/m/it/9 D[]\LMS/
ntxsy/m/n/9 ºjº ^^T \OML/nxlmi/m/it/9 O\LMS/ntxsy/m/n/9 ¹\OML/nxlmi/m/it/9 T[]\
LMS/ntxsy/m/n/9 ¹[]¹\OML/nxlmi/m/it/9 ^^^[]\LMS/ntxsy/m/n/9 º\OML/nxlmi/m/it/9 
; [] ; []\LMS/ntxsy/m/n/9 ¹\OML/nxlmi/m/it/9 ^^^[]\LMS/ntxsy/m/n/9 ººº$
 []

[27.27]) (./related-work-extra.tex)
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