This is TeX, Version 3.141592 (MiKTeX 2.3) (preloaded format=latex 2000.11.28)  29 APR 2004 10:12
**qzeil.tex
(qzeil.tex
LaTeX2e <2001/06/01>
Babel <v3.7j> and hyphenation patterns for english, french, german, ngerman, du
mylang, nohyphenation, loaded.
(F:\CTeX\texmf\tex\latex\base\article.cls
Document Class: article 2001/04/21 v1.4e Standard LaTeX document class
(F:\CTeX\texmf\tex\latex\base\size10.clo
File: size10.clo 2001/04/21 v1.4e Standard LaTeX file (size option)
)
\c@part=\count79
\c@section=\count80
\c@subsection=\count81
\c@subsubsection=\count82
\c@paragraph=\count83
\c@subparagraph=\count84
\c@figure=\count85
\c@table=\count86
\abovecaptionskip=\skip41
\belowcaptionskip=\skip42
\bibindent=\dimen102
)
(F:\CTeX\texmf\tex\latex\tools\bm.sty
Package: bm 1999/07/05 v1.0g Bold Symbol Support (DPC/FMi)
\symboldoperators=\mathgroup4
\symboldletters=\mathgroup5
\symboldsymbols=\mathgroup6
LaTeX Font Info:    Redeclaring math alphabet \mathbf on input line 137.
LaTeX Info: Redefining \bm on input line 195.
)
(F:\CTeX\texmf\tex\latex\amsmath\amsmath.sty
Package: amsmath 2000/07/18 v2.13 AMS math features
\@mathmargin=\skip43

For additional information on amsmath, use the `?' option.
(F:\CTeX\texmf\tex\latex\amsmath\amstext.sty
Package: amstext 2000/06/29 v2.01

(F:\CTeX\texmf\tex\latex\amsmath\amsgen.sty
File: amsgen.sty 1999/11/30 v2.0
\@emptytoks=\toks14
\ex@=\dimen103
))
(F:\CTeX\texmf\tex\latex\amsmath\amsbsy.sty
Package: amsbsy 1999/11/29 v1.2d
LaTeX Info: Redefining \boldsymbol on input line 54.
\pmbraise@=\dimen104
)
(F:\CTeX\texmf\tex\latex\amsmath\amsopn.sty
Package: amsopn 1999/12/14 v2.01 operator names
)
\inf@bad=\count87
LaTeX Info: Redefining \frac on input line 211.
\uproot@=\count88
\leftroot@=\count89
LaTeX Info: Redefining \overline on input line 307.
\classnum@=\count90
\DOTSCASE@=\count91
LaTeX Info: Redefining \ldots on input line 379.
LaTeX Info: Redefining \dots on input line 382.
LaTeX Info: Redefining \cdots on input line 467.
\Mathstrutbox@=\box26
\strutbox@=\box27
\big@size=\dimen105
LaTeX Font Info:    Redeclaring font encoding OML on input line 567.
LaTeX Font Info:    Redeclaring font encoding OMS on input line 568.
\macc@depth=\count92
\c@MaxMatrixCols=\count93
\dotsspace@=\muskip10
\c@parentequation=\count94
\dspbrk@lvl=\count95
\tag@help=\toks15
\row@=\count96
\column@=\count97
\maxfields@=\count98
\andhelp@=\toks16
\eqnshift@=\dimen106
\alignsep@=\dimen107
\tagshift@=\dimen108
\tagwidth@=\dimen109
\totwidth@=\dimen110
\lineht@=\dimen111
\@envbody=\toks17
\multlinegap=\skip44
\multlinetaggap=\skip45
\mathdisplay@stack=\toks18
LaTeX Info: Redefining \[ on input line 2666.
LaTeX Info: Redefining \] on input line 2667.
)
(F:\CTeX\texmf\tex\latex\amsfonts\amsfonts.sty
Package: amsfonts 2001/10/25 v2.2f
\symAMSa=\mathgroup7
\symAMSb=\mathgroup8
LaTeX Font Info:    Overwriting math alphabet `\mathfrak' in version `bold'
(Font)                  U/euf/m/n --> U/euf/b/n on input line 132.
)
(F:\CTeX\texmf\tex\latex\amsfonts\amssymb.sty
Package: amssymb 2002/01/22 v2.2d
)
(F:\CTeX\texmf\tex\latex\cite\cite.sty
Package: cite 2001/10/14  v 3.9
)
(F:\CTeX\texmf\tex\latex\graphics\graphicx.sty
Package: graphicx 1999/02/16 v1.0f Enhanced LaTeX Graphics (DPC,SPQR)

(F:\CTeX\texmf\tex\latex\graphics\keyval.sty
Package: keyval 1999/03/16 v1.13 key=value parser (DPC)
\KV@toks@=\toks19
)
(F:\CTeX\texmf\tex\latex\graphics\graphics.sty
Package: graphics 2001/07/07 v1.0n Standard LaTeX Graphics (DPC,SPQR)

(F:\CTeX\texmf\tex\latex\graphics\trig.sty
Package: trig 1999/03/16 v1.09 sin cos tan (DPC)
)
(F:\CTeX\texmf\tex\latex\00miktex\graphics.cfg
File: graphics.cfg 2003/03/12 v1.1 MiKTeX 'graphics' configuration
)
Package graphics Info: Driver file: dvips.def on input line 80.

(F:\CTeX\texmf\tex\latex\graphics\dvips.def
File: dvips.def 1999/02/16 v3.0i Driver-dependant file (DPC,SPQR)
))
\Gin@req@height=\dimen112
\Gin@req@width=\dimen113
)
\c@theo=\count99
 (qzeil.aux)
LaTeX Font Info:    Checking defaults for OML/cmm/m/it on input line 36.
LaTeX Font Info:    ... okay on input line 36.
LaTeX Font Info:    Checking defaults for T1/cmr/m/n on input line 36.
LaTeX Font Info:    ... okay on input line 36.
LaTeX Font Info:    Checking defaults for OT1/cmr/m/n on input line 36.
LaTeX Font Info:    ... okay on input line 36.
LaTeX Font Info:    Checking defaults for OMS/cmsy/m/n on input line 36.
LaTeX Font Info:    ... okay on input line 36.
LaTeX Font Info:    Checking defaults for OMX/cmex/m/n on input line 36.
LaTeX Font Info:    ... okay on input line 36.
LaTeX Font Info:    Checking defaults for U/cmr/m/n on input line 36.
LaTeX Font Info:    ... okay on input line 36.
LaTeX Font Info:    Try loading font information for U+msa on input line 39.

(F:\CTeX\texmf\tex\latex\amsfonts\umsa.fd
File: umsa.fd 2002/01/19 v2.2g AMS font definitions
)
LaTeX Font Info:    Try loading font information for U+msb on input line 39.

(F:\CTeX\texmf\tex\latex\amsfonts\umsb.fd
File: umsb.fd 2002/01/19 v2.2g AMS font definitions
) [1

]

Package amsmath Warning: Foreign command \over;
(amsmath)                \frac or \genfrac should be used instead
(amsmath)                 on input line 116.

[2]
Underfull \hbox (badness 10000) in paragraph at lines 230--237

 []

[3]
Overfull \hbox (17.89635pt too wide) in paragraph at lines 238--241
[][]\OT1/cmr/m/n/10 We now come to the $\OML/cmm/m/it/10 q$\OT1/cmr/m/n/10 -mul
tiplicative rep-re-sen-ta-tion of a gen-eral $\OML/cmm/m/it/10 q$\OT1/cmr/m/n/1
0 -hypergeometric
 []

[4] [5]
LaTeX Font Info:    Try loading font information for OMS+cmr on input line 390.

 (F:\CTeX\texmf\tex\latex\base\omscmr.fd
File: omscmr.fd 1999/05/25 v2.5h Standard LaTeX font definitions
)
LaTeX Font Info:    Font shape `OMS/cmr/m/n' in size <10> not available
(Font)              Font shape `OMS/cmsy/m/n' tried instead on input line 390.
 [6] [7] [8] [9] [10]
Overfull \hbox (16.52603pt too wide) in paragraph at lines 757--762
\OT1/cmr/m/n/10 need the con-cept of sim-i-lar $\OML/cmm/m/it/10 q$\OT1/cmr/m/n
/10 -hypergeometric terms. Two bi-vari-ate $\OML/cmm/m/it/10 q$\OT1/cmr/m/n/10 
-hypergeometric
 []


Overfull \hbox (17.00183pt too wide) in paragraph at lines 766--769
[][]\OT1/cmr/m/it/10 Suppose there ex-ist $\OML/cmm/m/it/10 qZ$\OT1/cmr/m/it/10
 -pairs for two sim-i-lar bi-vari-ate $\OML/cmm/m/it/10 q$\OT1/cmr/m/it/10 -hyp
ergeometric
 []

[11]
Overfull \hbox (3.4566pt too wide) in paragraph at lines 812--818
[]\OT1/cmr/m/n/10 and $\OML/cmm/m/it/10 F[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 k\
OT1/cmr/m/n/10 )$ has a $\OML/cmm/m/it/10 q$\OT1/cmr/m/n/10 -MR $(\OML/cmm/m/it
/10 f[]=f[]; v[]=v[]; \OT1/cmr/m/n/10 0)$ with $\OML/cmm/m/it/10 v[]$ \OT1/cmr/
m/n/10 be-ing $[][]$-free. Since $\OML/cmm/m/it/10 f[]=f[]; v[]=v[] \OMS/cmsy/m
/n/10 2
 []

[12]
Overfull \hbox (17.94997pt too wide) in paragraph at lines 848--850
[][]\OT1/cmtt/m/n/10 Apply the algorithm in [7] to find a rational function $\O
ML/cmm/m/it/10 R \OMS/cmsy/m/n/10 2 \U/msb/m/n/10 F\OT1/cmr/m/n/10 (\OML/cmm/m/
it/10 x; y\OT1/cmr/m/n/10 )$
 []


Overfull \hbox (1.63614pt too wide) in paragraph at lines 852--853
[][]\OT1/cmtt/m/n/10 For $\OML/cmm/m/it/10 D \OT1/cmr/m/n/10 = \OML/cmm/m/it/10
 r=s; U \OT1/cmr/m/n/10 = \OML/cmm/m/it/10 u=v$ \OT1/cmtt/m/n/10 and $\OML/cmm/
m/it/10 n[] \OT1/cmr/m/n/10 = 0$\OT1/cmtt/m/n/10 , apply the algorithm `$\OML/c
mm/m/it/10 q$\OT1/cmtt/m/n/10 -decomp'
 []


Overfull \hbox (3.9036pt too wide) in paragraph at lines 853--856
[][]\OT1/cmtt/m/n/10 Use the algorithm in [13] to determine whether $\OML/cmm/m
/it/10 v[]$ \OT1/cmtt/m/n/10 is $\OML/cmm/m/it/10 q$\OT1/cmtt/m/n/10 -proper.
 []


Overfull \hbox (6.0773pt too wide) in paragraph at lines 853--856
\OT1/cmtt/m/n/10 If the answer is yes, then $\OML/cmm/m/it/10 T$ \OT1/cmtt/m/n/
10 has a $\OML/cmm/m/it/10 qZ$\OT1/cmtt/m/n/10 -pair; otherwise, $\OML/cmm/m/it
/10 T$ \OT1/cmtt/m/n/10 does
 []

[13]
Missing character: There is no � in font cmr9!
Missing character: There is no � in font cmr9!
Missing character: There is no � in font cmr9!
Missing character: There is no � in font cmr9!

Underfull \hbox (badness 7869) in paragraph at lines 955--957
[][]\OT1/cmr/m/n/10 Q.H. Hou, $\OML/cmm/m/it/10 k$\OT1/cmr/m/n/10 -Free re-cur-
rences of dou-ble hy-per-ge-o-met-ric terms,
 []

[14] [15] (qzeil.aux) ) 
Here is how much of TeX's memory you used:
 1724 strings out of 96049
 17491 string characters out of 1196993
 71810 words of memory out of 1067805
 4586 multiletter control sequences out of 35000
 16032 words of font info for 60 fonts, out of 500000 for 1000
 14 hyphenation exceptions out of 607
 27i,12n,22p,222b,290s stack positions out of 1500i,500n,5000p,200000b,32768s

Output written on qzeil.dvi (15 pages, 72192 bytes).