This is TeX, C Version 3.14t3 (format=lplain 93.7.22) 12 APR 1999 18:25 **honey.tex (honey.tex LaTeX Version 2.09 <25 March 1992> (/usr/lib/tex/inputs/article.sty Standard Document Style `article' <14 Jan 92>. (/usr/lib/tex/inputs/art12.sty) \c@part=\count79 \c@section=\count80 \c@subsection=\count81 \c@subsubsection=\count82 \c@paragraph=\count83 \c@subparagraph=\count84 \c@figure=\count85 \c@table=\count86 ) (/usr/lib/tex/inputs/amssymb.sty AMS-LaTeX option `amssymb.sty' (1.1, 21-JUN-1991) (/usr/lib/tex/inputs/amsfonts.sty AMS-LaTeX option `amsfonts.sty' (1.1a, 3-SEP-1991) \msa@group=\mathgroup4 \msb@group=\mathgroup5 \frak@@group=\mathgroup6 \bold@@group=\mathgroup7 \Mathstrutbox@=\box25 \strutbox@=\box26 \big@size=\dimen99 \ex@=\dimen100 \minaw@=\dimen101 \dotsspace@=\muskip10 )) (/usr/lib/tex/inputs/amsfonts.sty ---already loaded) (/usr/lib/tex/inputs/psfig.sty \@unused=\write3 psfig/tex 1.6b \ps@stream=\read1 \p@intvaluex=\dimen102 \p@intvaluey=\dimen103 ) (/u/sonia/h1/fa/tao/tex/MathMacro.tex) \c@theorem=\count87 \c@proposition=\count88 \c@lemma=\count89 \c@corollary=\count90 \c@conjecture=\count91 \c@remark=\count92 (honey.aux) [1 ] [2] Overfull \hbox (0.3896pt too wide) in paragraph at lines 97--103 \cmr/m/n/17 ces $\cmm/m/it/17 A$\cmr/m/n/17 , $\cmm/m/it/17 B$\cmr/m/n/17 , $\c mm/m/it/17 C$ \cmr/m/n/17 with eigen-val-ues $(\cmm/m/it/17 a[]; [] ; a[]\cmr/m /n/17 )$, $(\cmm/m/it/17 b[]; [] ; b[]\cmr/m/n/17 )$, \hbox(12.94443+5.0)x360.6253, glue set - 1.0 .\cmr/m/n/17 c .\cmr/m/n/17 e .\cmr/m/n/17 s .\glue 5.21661 plus 2.7083 minus 1.80554 .\mathon .etc. [3] [4] [5] [6] [7] Overfull \hbox (28.2179pt too wide) in paragraph at lines 204--209 [] []\cmr/m/n/17 Obviously one has $(\cmm/m/it/17 a[]; [] ; a[]\cmr/m/n/17 ) + (\cmm/m/it/17 b[]; [] ; b[]\cmr/m/n/17 ) \cmsy/m/n/17 ^^X \cmr/m/n/17 (\cmm/m/i t/17 c[]; [] ; c[]\cmr/m/n/17 )$ \hbox(12.94443+5.0)x360.6253, glue set - 1.0 .\hbox(0.0+0.0)x0.0 .\glue 0.0 .\hbox(7.36365+0.0)x0.0 ..\glue 0.0 ..\glue -23.49976 ..\glue -5.87494 ..\hbox(7.36365+0.0)x23.49976, glue set 23.49976fil ...\glue 0.0 plus 1.0fil minus 1.0fil ...\hbox(7.36365+0.0)x0.0, glue set - 8.00778fil [] ..\glue 5.87494 .\penalty 0 .\cmr/m/n/17 O .etc. Overfull \hbox (3.94702pt too wide) in paragraph at lines 217--220 [] []\cmr/m/it/17 The so-lu-tion set to Weyl's \hbox(12.75+4.25)x360.6253, glue set - 1.0 .\hbox(0.0+0.0)x0.0 .\glue 0.0 .\hbox(12.75+4.25)x186.12363 ..\glue 0.0 ..\glue 0.0 ..\glue -5.87494 ..\hbox(12.75+4.25)x186.12363 ...\glue 5.87494 ...\cmr/bx/n/17 C ...\cmr/bx/n/17 o ...\cmr/bx/n/17 n ...\cmr/bx/n/17 j ...etc. ..\glue 5.87494 .\penalty 0 .\cmr/m/it/17 T .etc. Overfull \hbox (20.91054pt too wide) detected at line 221 \cmr/m/n/17 (\cmm/m/it/17 i[] \cmsy/m/n/17 ^^@ \cmr/m/n/17 1\cmm/m/it/17 ; [] ; i[] \cmsy/m/n/17 ^^@ \cmm/m/it/17 r\cmr/m/n/17 ) + (\cmm/m/it/17 j[] \cmsy/m/n /17 ^^@ \cmr/m/n/17 1\cmm/m/it/17 ; [] ; j[] \cmsy/m/n/17 ^^@ \cmm/m/it/17 r\cm r/m/n/17 ) \cmsy/m/n/17 ^^X \cmr/m/n/17 (\cmm/m/it/17 k[] \cmsy/m/n/17 ^^@ \cmr /m/n/17 1\cmm/m/it/17 ; [] ; k[] \cmsy/m/n/17 ^^@ \cmm/m/it/17 r\cmr/m/n/17 )\c mm/m/it/17 : \hbox(12.94443+5.0)x360.6253, glue set - 1.0 .\cmr/m/n/17 ( .\cmm/m/it/17 i .\hbox(7.73332+0.0)x6.37494, shifted 5.0 ..\cmr/m/n/12 1 .\glue(\medmuskip) 3.55902 plus 1.77951 minus 3.55902 .\cmsy/m/n/17 ^^@ .etc. [8] [9] Overfull \hbox (48.45093pt too wide) in paragraph at lines 244--250 \cmr/m/n/17 these di-rec-tions Northwest-Southeast, Northeast-Southwest, \hbox(12.0+3.3611)x360.6253, glue set - 1.0 .\cmr/m/n/17 t .\cmr/m/n/17 h .\cmr/m/n/17 e .\cmr/m/n/17 s .\cmr/m/n/17 e .etc. [10] [11] [12] Overfull \hbox (1.35419pt too wide) in paragraph at lines 310--313 [] []\cmr/m/it/17 The re-la-tion-ship (2) holds if and only \hbox(12.73584+4.23685)x360.6253, glue set - 1.0 .\hbox(0.0+0.0)x0.0 .\glue 0.0 .\hbox(11.80556+0.0)x107.70755 ..\glue 0.0 ..\glue 0.0 ..\glue -5.87494 ..\hbox(11.80556+0.0)x107.70755 ...\glue 5.87494 ...\cmr/bx/n/17 T ...\cmr/bx/n/17 h ...\cmr/bx/n/17 e ...\cmr/bx/n/17 o ...etc. ..\glue 5.87494 .\penalty 0 .\cmr/m/it/17 T .etc. Overfull \hbox (44.98486pt too wide) in paragraph at lines 310--313 \cmr/m/it/17 if there ex-ists a hon-ey-comb with bound-ary data $\cmr/m/n/17 (\ cmm/m/it/17 a[]; [] ; a[]\cmr/m/n/17 )$\cmr/m/it/17 , \hbox(12.94443+5.0)x360.6253, glue set - 1.0 .\cmr/m/it/17 i .\cmr/m/it/17 f .\glue 5.75555 plus 2.46666 minus 1.64444 .\cmr/m/it/17 t .\cmr/m/it/17 h .etc. [13] Overfull \hbox (11.96098pt too wide) in paragraph at lines 334--337 \cmr/m/n/17 This comes from the fact that the con-stant co-ordinates \hbox(12.0+0.0)x360.6253, glue set - 1.0 .\cmr/m/n/17 T .\cmr/m/n/17 h .\cmr/m/n/17 i .\cmr/m/n/17 s .\glue 5.21661 plus 2.7083 minus 1.80554 .etc. [14] [15] Overfull \hbox (49.84744pt too wide) in paragraph at lines 378--382 [] []\cmr/m/it/17 If $\cmr/m/n/17 (\cmm/m/it/17 a[]; [] ; c[]\cmr/m/n/17 )$ \hbox(12.94443+5.0)x360.6253, glue set - 1.0 .\hbox(0.0+0.0)x0.0 .\glue 0.0 .\hbox(12.75+4.25)x319.74762 ..\glue 0.0 ..\glue 0.0 ..\glue -5.87494 ..\hbox(12.75+4.25)x319.74762 ...\glue 5.87494 ...\cmr/bx/n/17 C ...\cmr/bx/n/17 o ...\cmr/bx/n/17 n ...\cmr/bx/n/17 j ...etc. ..\glue 5.87494 .\penalty 0 .\cmr/m/it/17 I .etc. [16] [17] Overfull \hbox (7.46663pt too wide) in paragraph at lines 418--422 [] []\cmr/m/n/17 This equiv-a-lence is the quan-tum ana-logue of the equiv- \hbox(12.0+3.3611)x360.6253, glue set - 1.0 .\hbox(0.0+0.0)x0.0 .\glue 0.0 .\hbox(7.36365+0.0)x0.0 ..\glue 0.0 ..\glue -23.49976 ..\glue -5.87494 ..\hbox(7.36365+0.0)x23.49976, glue set 23.49976fil ...\glue 0.0 plus 1.0fil minus 1.0fil ...\hbox(7.36365+0.0)x0.0, glue set - 8.00778fil [] ..\glue 5.87494 .\penalty 0 .\cmr/m/n/17 T .etc. [18] [19] [20] Overfull \hbox (11.16098pt too wide) in paragraph at lines 463--466 [] []\cmr/m/n/17 We now sketch how the sat-u-ra-tion con-jec-ture is proven. \hbox(12.0+3.3611)x360.6253, glue set - 1.0 .\hbox(0.0+0.0)x0.0 .\glue 0.0 .\hbox(7.36365+0.0)x0.0 ..\glue 0.0 ..\glue -23.49976 ..\glue -5.87494 ..\hbox(7.36365+0.0)x23.49976, glue set 23.49976fil ...\glue 0.0 plus 1.0fil minus 1.0fil ...\hbox(7.36365+0.0)x0.0, glue set - 8.00778fil [] ..\glue 5.87494 .\penalty 0 .\cmr/m/n/17 W .etc. [21] (honey.aux) ) Here is how much of TeX's memory you used: 892 strings out of 4278 7966 string characters out of 55214 34915 words of memory out of 262141 2960 multiletter control sequences out of 9500 22695 words of font info for 89 fonts, out of 72000 for 255 14 hyphenation exceptions out of 607 17i,5n,18p,311b,226s stack positions out of 300i,40n,60p,3000b,4000s Output written on honey.dvi (21 pages, 27764 bytes).