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Paragraph ended before \addtolength was complete. \par l.4818 I suspect you've forgotten a `}', causing me to apply this control sequence to too much text. How can we recover? 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:tex2html_wrap_indisplay51488:lthtmlCropMarkDepth:=0.16199pt:1ex:=5.4pt [828] :tex2html_wrap_inline51490:lthtmlCropMarkHeight:=14.18999pt :tex2html_wrap_inline51490:lthtmlCropMarkDepth:=0.16199pt:1ex:=5.4pt [829] :tex2html_wrap_inline51492:lthtmlCropMarkHeight:=14.02798pt :tex2html_wrap_inline51492:lthtmlCropMarkDepth:=0.26399pt:1ex:=5.4pt [830] :tex2html_wrap_inline51494:lthtmlCropMarkHeight:=14.18999pt :tex2html_wrap_inline51494:lthtmlCropMarkDepth:=0.26399pt:1ex:=5.4pt [831] :tex2html_wrap_inline51496:lthtmlCropMarkHeight:=14.02798pt :tex2html_wrap_inline51496:lthtmlCropMarkDepth:=0.26399pt:1ex:=5.4pt [832] :tex2html_wrap_inline51498:lthtmlCropMarkHeight:=14.02798pt :tex2html_wrap_inline51498:lthtmlCropMarkDepth:=0.26399pt:1ex:=5.4pt [833] Package epstopdf Info: Source file: (epstopdf) date: 2011-09-12 20:27:16 (epstopdf) size: 35732 bytes (epstopdf) Output file: (epstopdf) date: 2023-09-14 15:42:51 (epstopdf) size: 10148 bytes (epstopdf) Command: (epstopdf) \includegraphics on input line 5278. Package epstopdf Info: Output file is already uptodate. pdfTeX warning: /opt/local/bin/pdflatex (file /Users/rfitzp/Books/Celestial/Boo k/Chapter03/fig3_07-eps-converted-to.pdf): PDF inclusion: found PDF version <1. 7>, but at most version <1.5> allowed File: Chapter03/fig3_07-eps-converted-to.pdf Graphic file (type pdf) Package pdftex.def Info: Chapter03/fig3_07-eps-converted-to.pdf used on input line 5278. 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Paragraph ended before \addtolength was complete. \par l.6303 I suspect you've forgotten a `}', causing me to apply this control sequence to too much text. How can we recover? 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:tex2html_wrap_indisplay58180:lthtmlCropMarkDepth:=3.19197pt:1ex:=5.4pt [2486] ! Package amsmath Error: Invalid use of \displaybreak. See the amsmath package documentation for explanation. Type H for immediate help. ... l.15464 \lthtmlindisplaymathZ Your command was ignored. Type I to replace it with another command, or to continue without it. :tex2html_wrap_indisplay58181:lthtmlCropMarkHeight:=19.428pt :tex2html_wrap_indisplay58181:lthtmlCropMarkDepth:=16.19098pt:1ex:=5.4pt [2487] :tex2html_wrap_indisplay58182:lthtmlCropMarkHeight:=14.72398pt :tex2html_wrap_indisplay58182:lthtmlCropMarkDepth:=3.08398pt:1ex:=5.4pt [2488] :tex2html_wrap_indisplay58183:lthtmlCropMarkHeight:=19.428pt :tex2html_wrap_indisplay58183:lthtmlCropMarkDepth:=16.19098pt:1ex:=5.4pt [2489] :tex2html_wrap_indisplay58184:lthtmlCropMarkHeight:=17.23357pt :tex2html_wrap_indisplay58184:lthtmlCropMarkDepth:=5.1424pt:1ex:=5.4pt [2490] :tex2html_wrap_indisplay58185:lthtmlCropMarkHeight:=17.23357pt :tex2html_wrap_indisplay58185:lthtmlCropMarkDepth:=5.1424pt:1ex:=5.4pt [2491] :tex2html_wrap_indisplay58186:lthtmlCropMarkHeight:=17.80199pt :tex2html_wrap_indisplay58186:lthtmlCropMarkDepth:=5.634pt:1ex:=5.4pt [2492] :tex2html_wrap_indisplay58187:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay58187:lthtmlCropMarkDepth:=8.232pt:1ex:=5.4pt [2493] ! Package amsmath Error: Invalid use of \displaybreak. See the amsmath package documentation for explanation. Type H for immediate help. ... l.15511 \lthtmlindisplaymathZ Your command was ignored. Type I to replace it with another command, or to continue without it. :tex2html_wrap_indisplay58188:lthtmlCropMarkHeight:=17.80199pt :tex2html_wrap_indisplay58188:lthtmlCropMarkDepth:=5.634pt:1ex:=5.4pt [2494] :tex2html_wrap_indisplay58189:lthtmlCropMarkHeight:=14.72398pt :tex2html_wrap_indisplay58189:lthtmlCropMarkDepth:=3.08398pt:1ex:=5.4pt [2495] :tex2html_wrap_indisplay58190:lthtmlCropMarkHeight:=22.15198pt :tex2html_wrap_indisplay58190:lthtmlCropMarkDepth:=8.39398pt:1ex:=5.4pt [2496] :tex2html_wrap_indisplay58191:lthtmlCropMarkHeight:=22.15198pt :tex2html_wrap_indisplay58191:lthtmlCropMarkDepth:=8.232pt:1ex:=5.4pt [2497] :tex2html_wrap_indisplay58192:lthtmlCropMarkHeight:=22.15198pt :tex2html_wrap_indisplay58192:lthtmlCropMarkDepth:=8.232pt:1ex:=5.4pt [2498] :tex2html_wrap_inline58194:lthtmlCropMarkHeight:=14.12398pt :tex2html_wrap_inline58194:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [2499] :tex2html_wrap_inline58196:lthtmlCropMarkHeight:=15.75598pt 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Paragraph ended before \addtolength was complete. \par l.16188 I suspect you've forgotten a `}', causing me to apply this control sequence to too much text. How can we recover? 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:tex2html_wrap_indisplay64471:lthtmlCropMarkHeight:=16.35599pt :tex2html_wrap_indisplay64471:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [4795] :tex2html_wrap_indisplay64472:lthtmlCropMarkHeight:=13.842pt :tex2html_wrap_indisplay64472:lthtmlCropMarkDepth:=0.0pt:1ex:=5.4pt [4796] :tex2html_wrap_indisplay64473:lthtmlCropMarkHeight:=16.35599pt :tex2html_wrap_indisplay64473:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [4797] :tex2html_wrap_indisplay64474:lthtmlCropMarkHeight:=14.21999pt :tex2html_wrap_indisplay64474:lthtmlCropMarkDepth:=1.96799pt:1ex:=5.4pt [4798] :tex2html_wrap_indisplay64475:lthtmlCropMarkHeight:=16.35599pt :tex2html_wrap_indisplay64475:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [4799] :tex2html_wrap_inline64477:lthtmlCropMarkHeight:=15.75598pt :tex2html_wrap_inline64477:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [4800] :tex2html_wrap_indisplay64478:lthtmlCropMarkHeight:=22.428pt :tex2html_wrap_indisplay64478:lthtmlCropMarkDepth:=8.42998pt:1ex:=5.4pt [4801] 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:tex2html_wrap_indisplay64502:lthtmlCropMarkHeight:=23.77798pt :tex2html_wrap_indisplay64502:lthtmlCropMarkDepth:=8.42998pt:1ex:=5.4pt [4823] :tex2html_wrap_indisplay64503:lthtmlCropMarkHeight:=22.428pt :tex2html_wrap_indisplay64503:lthtmlCropMarkDepth:=8.42998pt:1ex:=5.4pt [4824] :tex2html_wrap_indisplay64504:lthtmlCropMarkHeight:=22.22398pt :tex2html_wrap_indisplay64504:lthtmlCropMarkDepth:=8.42998pt:1ex:=5.4pt [4825] :tex2html_wrap_indisplay64505:lthtmlCropMarkHeight:=22.428pt :tex2html_wrap_indisplay64505:lthtmlCropMarkDepth:=8.42998pt:1ex:=5.4pt [4826] :tex2html_wrap_indisplay64506:lthtmlCropMarkHeight:=22.22398pt :tex2html_wrap_indisplay64506:lthtmlCropMarkDepth:=8.42998pt:1ex:=5.4pt [4827] :tex2html_wrap_indisplay64507:lthtmlCropMarkHeight:=22.428pt :tex2html_wrap_indisplay64507:lthtmlCropMarkDepth:=10.82996pt:1ex:=5.4pt [4828] :tex2html_wrap_indisplay64508:lthtmlCropMarkHeight:=22.22398pt :tex2html_wrap_indisplay64508:lthtmlCropMarkDepth:=8.42998pt:1ex:=5.4pt [4829] :tex2html_wrap_indisplay64509:lthtmlCropMarkHeight:=22.428pt :tex2html_wrap_indisplay64509:lthtmlCropMarkDepth:=8.42998pt:1ex:=5.4pt [4830] :tex2html_wrap_indisplay64510:lthtmlCropMarkHeight:=22.22398pt :tex2html_wrap_indisplay64510:lthtmlCropMarkDepth:=8.42998pt:1ex:=5.4pt [4831] :tex2html_wrap_indisplay64511:lthtmlCropMarkHeight:=22.428pt :tex2html_wrap_indisplay64511:lthtmlCropMarkDepth:=8.42998pt:1ex:=5.4pt [4832] :tex2html_wrap_indisplay64512:lthtmlCropMarkHeight:=22.22398pt :tex2html_wrap_indisplay64512:lthtmlCropMarkDepth:=8.42998pt:1ex:=5.4pt [4833] :tex2html_wrap_indisplay64513:lthtmlCropMarkHeight:=22.428pt :tex2html_wrap_indisplay64513:lthtmlCropMarkDepth:=8.42998pt:1ex:=5.4pt [4834] :tex2html_wrap_indisplay64515:lthtmlCropMarkHeight:=22.428pt :tex2html_wrap_indisplay64515:lthtmlCropMarkDepth:=10.82996pt:1ex:=5.4pt [4835] :tex2html_wrap_indisplay64516:lthtmlCropMarkHeight:=23.77798pt :tex2html_wrap_indisplay64516:lthtmlCropMarkDepth:=8.42998pt:1ex:=5.4pt [4836] :tex2html_wrap_indisplay64517:lthtmlCropMarkHeight:=23.87997pt :tex2html_wrap_indisplay64517:lthtmlCropMarkDepth:=8.42998pt:1ex:=5.4pt [4837] :tex2html_wrap_indisplay64518:lthtmlCropMarkHeight:=22.428pt :tex2html_wrap_indisplay64518:lthtmlCropMarkDepth:=10.36198pt:1ex:=5.4pt [4838] :tex2html_wrap_indisplay64520:lthtmlCropMarkHeight:=23.87997pt :tex2html_wrap_indisplay64520:lthtmlCropMarkDepth:=10.82996pt:1ex:=5.4pt [4839] :tex2html_wrap_indisplay64522:lthtmlCropMarkHeight:=23.87997pt :tex2html_wrap_indisplay64522:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4840] :tex2html_wrap_indisplay64523:lthtmlCropMarkHeight:=22.22398pt :tex2html_wrap_indisplay64523:lthtmlCropMarkDepth:=8.42998pt:1ex:=5.4pt [4841] :tex2html_wrap_indisplay64524:lthtmlCropMarkHeight:=23.87997pt :tex2html_wrap_indisplay64524:lthtmlCropMarkDepth:=10.36198pt:1ex:=5.4pt [4842] :tex2html_wrap_indisplay64526:lthtmlCropMarkHeight:=22.428pt :tex2html_wrap_indisplay64526:lthtmlCropMarkDepth:=10.36198pt:1ex:=5.4pt [4843] :tex2html_wrap_inline64530:lthtmlCropMarkHeight:=17.974pt :tex2html_wrap_inline64530:lthtmlCropMarkDepth:=4.98997pt:1ex:=5.4pt [4844] :tex2html_wrap_indisplay64533:lthtmlCropMarkHeight:=22.428pt :tex2html_wrap_indisplay64533:lthtmlCropMarkDepth:=10.82996pt:1ex:=5.4pt [4845] :tex2html_wrap_indisplay64534:lthtmlCropMarkHeight:=22.428pt :tex2html_wrap_indisplay64534:lthtmlCropMarkDepth:=9.11996pt:1ex:=5.4pt [4846] :tex2html_wrap_indisplay64535:lthtmlCropMarkHeight:=22.428pt :tex2html_wrap_indisplay64535:lthtmlCropMarkDepth:=8.42998pt:1ex:=5.4pt [4847] :tex2html_wrap_indisplay64536:lthtmlCropMarkHeight:=23.65pt :tex2html_wrap_indisplay64536:lthtmlCropMarkDepth:=10.66599pt:1ex:=5.4pt [4848] :tex2html_wrap_indisplay64542:lthtmlCropMarkHeight:=22.428pt :tex2html_wrap_indisplay64542:lthtmlCropMarkDepth:=9.11996pt:1ex:=5.4pt [4849] :tex2html_wrap_indisplay64543:lthtmlCropMarkHeight:=23.77798pt :tex2html_wrap_indisplay64543:lthtmlCropMarkDepth:=8.42998pt:1ex:=5.4pt [4850] :tex2html_wrap_indisplay64544:lthtmlCropMarkHeight:=23.87997pt :tex2html_wrap_indisplay64544:lthtmlCropMarkDepth:=8.42998pt:1ex:=5.4pt [4851] :tex2html_wrap_indisplay64547:lthtmlCropMarkHeight:=23.87997pt :tex2html_wrap_indisplay64547:lthtmlCropMarkDepth:=9.11996pt:1ex:=5.4pt [4852] :tex2html_wrap_indisplay64549:lthtmlCropMarkHeight:=23.87997pt :tex2html_wrap_indisplay64549:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4853] :tex2html_wrap_indisplay64551:lthtmlCropMarkHeight:=23.87997pt :tex2html_wrap_indisplay64551:lthtmlCropMarkDepth:=10.36198pt:1ex:=5.4pt [4854] :tex2html_wrap_indisplay64553:lthtmlCropMarkHeight:=22.428pt :tex2html_wrap_indisplay64553:lthtmlCropMarkDepth:=10.36198pt:1ex:=5.4pt [4855] :tex2html_wrap_inline64555:lthtmlCropMarkHeight:=15.65399pt :tex2html_wrap_inline64555:lthtmlCropMarkDepth:=1.93199pt:1ex:=5.4pt [4856] :tex2html_wrap_inline64559:lthtmlCropMarkHeight:=14.304pt :tex2html_wrap_inline64559:lthtmlCropMarkDepth:=1.93199pt:1ex:=5.4pt [4857] :tex2html_wrap_indisplay64571:lthtmlCropMarkHeight:=14.18999pt :tex2html_wrap_indisplay64571:lthtmlCropMarkDepth:=1.69199pt:1ex:=5.4pt [4858] :tex2html_wrap_indisplay64572:lthtmlCropMarkHeight:=14.09999pt :tex2html_wrap_indisplay64572:lthtmlCropMarkDepth:=0.09pt:1ex:=5.4pt [4859] :tex2html_wrap_indisplay64573:lthtmlCropMarkHeight:=11.45999pt :tex2html_wrap_indisplay64573:lthtmlCropMarkDepth:=1.69199pt:1ex:=5.4pt [4860] :tex2html_wrap_indisplay64574:lthtmlCropMarkHeight:=11.304pt :tex2html_wrap_indisplay64574:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [4861] :tex2html_wrap_indisplay64575:lthtmlCropMarkHeight:=14.18999pt :tex2html_wrap_indisplay64575:lthtmlCropMarkDepth:=1.69199pt:1ex:=5.4pt [4862] :tex2html_wrap_indisplay64576:lthtmlCropMarkHeight:=11.304pt :tex2html_wrap_indisplay64576:lthtmlCropMarkDepth:=2.508pt:1ex:=5.4pt [4863] :tex2html_wrap_indisplay64577:lthtmlCropMarkHeight:=14.18999pt :tex2html_wrap_indisplay64577:lthtmlCropMarkDepth:=0.15pt:1ex:=5.4pt [4864] ! Package amsmath Error: Invalid use of \displaybreak. See the amsmath package documentation for explanation. Type H for immediate help. ... l.30023 \lthtmlindisplaymathZ Your command was ignored. Type I to replace it with another command, or to continue without it. :tex2html_wrap_indisplay64579:lthtmlCropMarkHeight:=22.428pt :tex2html_wrap_indisplay64579:lthtmlCropMarkDepth:=9.11996pt:1ex:=5.4pt [4865] :tex2html_wrap_indisplay64581:lthtmlCropMarkHeight:=23.87997pt :tex2html_wrap_indisplay64581:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4866] ! Package amsmath Error: Invalid use of \displaybreak. See the amsmath package documentation for explanation. Type H for immediate help. ... l.30038 \lthtmlindisplaymathZ Your command was ignored. Type I to replace it with another command, or to continue without it. :tex2html_wrap_indisplay64582:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay64582:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4867] :tex2html_wrap_indisplay64584:lthtmlCropMarkHeight:=23.87997pt :tex2html_wrap_indisplay64584:lthtmlCropMarkDepth:=10.36198pt:1ex:=5.4pt [4868] :tex2html_wrap_indisplay64585:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay64585:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4869] :tex2html_wrap_indisplay64587:lthtmlCropMarkHeight:=23.87997pt :tex2html_wrap_indisplay64587:lthtmlCropMarkDepth:=10.36198pt:1ex:=5.4pt [4870] :tex2html_wrap_indisplay64588:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay64588:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4871] :tex2html_wrap_indisplay64590:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay64590:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4872] :tex2html_wrap_indisplay64591:lthtmlCropMarkHeight:=22.428pt :tex2html_wrap_indisplay64591:lthtmlCropMarkDepth:=10.73999pt:1ex:=5.4pt [4873] :tex2html_wrap_indisplay64593:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay64593:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4874] :tex2html_wrap_indisplay64594:lthtmlCropMarkHeight:=22.428pt :tex2html_wrap_indisplay64594:lthtmlCropMarkDepth:=10.70398pt:1ex:=5.4pt [4875] :tex2html_wrap_inline64596:lthtmlCropMarkHeight:=14.02798pt :tex2html_wrap_inline64596:lthtmlCropMarkDepth:=1.69199pt:1ex:=5.4pt [4876] :tex2html_wrap_inline64598:lthtmlCropMarkHeight:=15.65399pt :tex2html_wrap_inline64598:lthtmlCropMarkDepth:=0.55798pt:1ex:=5.4pt [4877] :tex2html_wrap_inline64600:lthtmlCropMarkHeight:=14.09999pt :tex2html_wrap_inline64600:lthtmlCropMarkDepth:=0.15pt:1ex:=5.4pt [4878] :tex2html_wrap_indisplay64610:lthtmlCropMarkHeight:=23.87997pt :tex2html_wrap_indisplay64610:lthtmlCropMarkDepth:=8.78998pt:1ex:=5.4pt [4879] :tex2html_wrap_indisplay64612:lthtmlCropMarkHeight:=23.87997pt :tex2html_wrap_indisplay64612:lthtmlCropMarkDepth:=10.36198pt:1ex:=5.4pt [4880] :tex2html_wrap_indisplay64614:lthtmlCropMarkHeight:=23.87997pt :tex2html_wrap_indisplay64614:lthtmlCropMarkDepth:=10.36198pt:1ex:=5.4pt [4881] :tex2html_wrap_inline64637:lthtmlCropMarkHeight:=17.974pt :tex2html_wrap_inline64637:lthtmlCropMarkDepth:=4.98997pt:1ex:=5.4pt [4882] :tex2html_wrap_indisplay64686:lthtmlCropMarkHeight:=22.24797pt :tex2html_wrap_indisplay64686:lthtmlCropMarkDepth:=8.32199pt:1ex:=5.4pt [4883] :tex2html_wrap_inline64690:lthtmlCropMarkHeight:=14.47198pt :tex2html_wrap_inline64690:lthtmlCropMarkDepth:=0.29999pt:1ex:=5.4pt [4884] :tex2html_wrap_inline64694:lthtmlCropMarkHeight:=15.70798pt :tex2html_wrap_inline64694:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [4885] :tex2html_wrap_indisplay64695:lthtmlCropMarkHeight:=22.31398pt :tex2html_wrap_indisplay64695:lthtmlCropMarkDepth:=8.42998pt:1ex:=5.4pt [4886] :tex2html_wrap_indisplay64696:lthtmlCropMarkHeight:=22.59598pt :tex2html_wrap_indisplay64696:lthtmlCropMarkDepth:=9.11996pt:1ex:=5.4pt [4887] :tex2html_wrap_indisplay64698:lthtmlCropMarkHeight:=23.87997pt :tex2html_wrap_indisplay64698:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4888] ! Package amsmath Error: Invalid use of \displaybreak. See the amsmath package documentation for explanation. Type H for immediate help. ... l.30181 \lthtmlindisplaymathZ Your command was ignored. Type I to replace it with another command, or to continue without it. :tex2html_wrap_indisplay64699:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay64699:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4889] :tex2html_wrap_indisplay64701:lthtmlCropMarkHeight:=23.87997pt :tex2html_wrap_indisplay64701:lthtmlCropMarkDepth:=10.36198pt:1ex:=5.4pt [4890] :tex2html_wrap_indisplay64702:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay64702:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4891] :tex2html_wrap_indisplay64704:lthtmlCropMarkHeight:=23.87997pt :tex2html_wrap_indisplay64704:lthtmlCropMarkDepth:=10.36198pt:1ex:=5.4pt [4892] :tex2html_wrap_indisplay64705:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay64705:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4893] :tex2html_wrap_indisplay64707:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay64707:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4894] :tex2html_wrap_indisplay64708:lthtmlCropMarkHeight:=22.59598pt :tex2html_wrap_indisplay64708:lthtmlCropMarkDepth:=10.73999pt:1ex:=5.4pt [4895] :tex2html_wrap_indisplay64710:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay64710:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4896] :tex2html_wrap_indisplay64711:lthtmlCropMarkHeight:=22.59598pt :tex2html_wrap_indisplay64711:lthtmlCropMarkDepth:=10.70398pt:1ex:=5.4pt [4897] :tex2html_wrap_indisplay64712:lthtmlCropMarkHeight:=14.72398pt :tex2html_wrap_indisplay64712:lthtmlCropMarkDepth:=0.15pt:1ex:=5.4pt [4898] :tex2html_wrap_indisplay64713:lthtmlCropMarkHeight:=22.24797pt :tex2html_wrap_indisplay64713:lthtmlCropMarkDepth:=10.70398pt:1ex:=5.4pt [4899] :tex2html_wrap_indisplay64715:lthtmlCropMarkHeight:=19.428pt :tex2html_wrap_indisplay64715:lthtmlCropMarkDepth:=8.32199pt:1ex:=5.4pt [4900] :tex2html_wrap_indisplay64720:lthtmlCropMarkHeight:=15.65399pt :tex2html_wrap_indisplay64720:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [4901] :tex2html_wrap_indisplay64721:lthtmlCropMarkHeight:=16.30798pt :tex2html_wrap_indisplay64721:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [4902] :tex2html_wrap_indisplay64722:lthtmlCropMarkHeight:=14.02798pt :tex2html_wrap_indisplay64722:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [4903] :tex2html_wrap_indisplay64723:lthtmlCropMarkHeight:=17.80798pt :tex2html_wrap_indisplay64723:lthtmlCropMarkDepth:=5.64pt:1ex:=5.4pt [4904] :tex2html_wrap_indisplay64724:lthtmlCropMarkHeight:=14.02798pt :tex2html_wrap_indisplay64724:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [4905] :tex2html_wrap_indisplay64725:lthtmlCropMarkHeight:=17.80798pt :tex2html_wrap_indisplay64725:lthtmlCropMarkDepth:=5.64pt:1ex:=5.4pt [4906] :tex2html_wrap_inline64727:lthtmlCropMarkHeight:=15.70798pt :tex2html_wrap_inline64727:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [4907] :tex2html_wrap_inline64729:lthtmlCropMarkHeight:=15.70798pt :tex2html_wrap_inline64729:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [4908] :tex2html_wrap_indisplay64733:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay64733:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4909] :tex2html_wrap_indisplay64735:lthtmlCropMarkHeight:=23.87997pt :tex2html_wrap_indisplay64735:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4910] ! Package amsmath Error: Invalid use of \displaybreak. See the amsmath package documentation for explanation. Type H for immediate help. ... l.30320 \lthtmlindisplaymathZ Your command was ignored. Type I to replace it with another command, or to continue without it. :tex2html_wrap_indisplay64736:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay64736:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4911] :tex2html_wrap_indisplay64738:lthtmlCropMarkHeight:=23.87997pt :tex2html_wrap_indisplay64738:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4912] :tex2html_wrap_indisplay64739:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay64739:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4913] :tex2html_wrap_indisplay64741:lthtmlCropMarkHeight:=23.87997pt :tex2html_wrap_indisplay64741:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4914] :tex2html_wrap_indisplay64742:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay64742:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4915] :tex2html_wrap_indisplay64744:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay64744:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4916] :tex2html_wrap_indisplay64745:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay64745:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4917] :tex2html_wrap_indisplay64747:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay64747:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4918] :tex2html_wrap_indisplay64748:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay64748:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4919] :tex2html_wrap_inline64750:lthtmlCropMarkHeight:=15.70798pt :tex2html_wrap_inline64750:lthtmlCropMarkDepth:=1.90797pt:1ex:=5.4pt [4920] :tex2html_wrap_inline64752:lthtmlCropMarkHeight:=15.70798pt :tex2html_wrap_inline64752:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [4921] :tex2html_wrap_inline64754:lthtmlCropMarkHeight:=15.70798pt :tex2html_wrap_inline64754:lthtmlCropMarkDepth:=0.15pt:1ex:=5.4pt [4922] :tex2html_wrap_indisplay64770:lthtmlCropMarkHeight:=14.72398pt :tex2html_wrap_indisplay64770:lthtmlCropMarkDepth:=1.69199pt:1ex:=5.4pt [4923] :tex2html_wrap_inline64772:lthtmlCropMarkHeight:=14.47198pt :tex2html_wrap_inline64772:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [4924] :tex2html_wrap_indisplay64780:lthtmlCropMarkHeight:=15.65399pt :tex2html_wrap_indisplay64780:lthtmlCropMarkDepth:=2.508pt:1ex:=5.4pt [4925] :tex2html_wrap_inline64782:lthtmlCropMarkHeight:=14.47198pt :tex2html_wrap_inline64782:lthtmlCropMarkDepth:=1.85999pt:1ex:=5.4pt [4926] :tex2html_wrap_inline64784:lthtmlCropMarkHeight:=14.47198pt :tex2html_wrap_inline64784:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [4927] ! Package amsmath Error: Invalid use of \displaybreak. See the amsmath package documentation for explanation. Type H for immediate help. ... l.30428 \lthtmlindisplaymathZ Your command was ignored. Type I to replace it with another command, or to continue without it. :tex2html_wrap_indisplay64790:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay64790:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4928] :tex2html_wrap_indisplay64798:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay64798:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4929] :tex2html_wrap_inline64808:lthtmlCropMarkHeight:=14.47198pt :tex2html_wrap_inline64808:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [4930] :tex2html_wrap_indisplay64816:lthtmlCropMarkHeight:=21.68999pt :tex2html_wrap_indisplay64816:lthtmlCropMarkDepth:=8.32199pt:1ex:=5.4pt [4931] :tex2html_wrap_inline64820:lthtmlCropMarkHeight:=14.47198pt :tex2html_wrap_inline64820:lthtmlCropMarkDepth:=0.29999pt:1ex:=5.4pt [4932] :tex2html_wrap_indisplay64826:lthtmlCropMarkHeight:=15.65399pt :tex2html_wrap_indisplay64826:lthtmlCropMarkDepth:=3.19197pt:1ex:=5.4pt [4933] :tex2html_wrap_inline64828:lthtmlCropMarkHeight:=14.47198pt :tex2html_wrap_inline64828:lthtmlCropMarkDepth:=3.02399pt:1ex:=5.4pt [4934] :tex2html_wrap_inline64830:lthtmlCropMarkHeight:=14.47198pt :tex2html_wrap_inline64830:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [4935] :tex2html_wrap_indisplay64834:lthtmlCropMarkHeight:=23.69995pt :tex2html_wrap_indisplay64834:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4936] :tex2html_wrap_indisplay64836:lthtmlCropMarkHeight:=23.69995pt :tex2html_wrap_indisplay64836:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4937] :tex2html_wrap_indisplay64838:lthtmlCropMarkHeight:=23.69995pt :tex2html_wrap_indisplay64838:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4938] :tex2html_wrap_indisplay64840:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay64840:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4939] :tex2html_wrap_indisplay64842:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay64842:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4940] :tex2html_wrap_indisplay64844:lthtmlCropMarkHeight:=21.68999pt :tex2html_wrap_indisplay64844:lthtmlCropMarkDepth:=10.70398pt:1ex:=5.4pt [4941] :tex2html_wrap_indisplay64846:lthtmlCropMarkHeight:=14.47198pt :tex2html_wrap_indisplay64846:lthtmlCropMarkDepth:=0.29999pt:1ex:=5.4pt [4942] :tex2html_wrap_indisplay64847:lthtmlCropMarkHeight:=14.47198pt :tex2html_wrap_indisplay64847:lthtmlCropMarkDepth:=1.79999pt:1ex:=5.4pt [4943] :tex2html_wrap_indisplay64848:lthtmlCropMarkHeight:=14.72398pt :tex2html_wrap_indisplay64848:lthtmlCropMarkDepth:=0.29999pt:1ex:=5.4pt [4944] :tex2html_wrap_indisplay64849:lthtmlCropMarkHeight:=16.30798pt :tex2html_wrap_indisplay64849:lthtmlCropMarkDepth:=1.79999pt:1ex:=5.4pt [4945] :tex2html_wrap_indisplay64851:lthtmlCropMarkHeight:=22.24797pt :tex2html_wrap_indisplay64851:lthtmlCropMarkDepth:=10.19998pt:1ex:=5.4pt [4946] :tex2html_wrap_indisplay64852:lthtmlCropMarkHeight:=14.47198pt :tex2html_wrap_indisplay64852:lthtmlCropMarkDepth:=1.79999pt:1ex:=5.4pt [4947] :tex2html_wrap_indisplay64853:lthtmlCropMarkHeight:=25.86798pt :tex2html_wrap_indisplay64853:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4948] :tex2html_wrap_indisplay64854:lthtmlCropMarkHeight:=14.47198pt :tex2html_wrap_indisplay64854:lthtmlCropMarkDepth:=1.79999pt:1ex:=5.4pt [4949] :tex2html_wrap_indisplay64855:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay64855:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4950] :tex2html_wrap_indisplay64863:lthtmlCropMarkHeight:=20.11998pt :tex2html_wrap_indisplay64863:lthtmlCropMarkDepth:=5.64pt:1ex:=5.4pt [4951] :tex2html_wrap_indisplay64865:lthtmlCropMarkHeight:=20.27998pt :tex2html_wrap_indisplay64865:lthtmlCropMarkDepth:=8.32199pt:1ex:=5.4pt [4952] :tex2html_wrap_indisplay64866:lthtmlCropMarkHeight:=14.72398pt :tex2html_wrap_indisplay64866:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [4953] :tex2html_wrap_indisplay64867:lthtmlCropMarkHeight:=22.24797pt :tex2html_wrap_indisplay64867:lthtmlCropMarkDepth:=8.32199pt:1ex:=5.4pt [4954] :tex2html_wrap_indisplay64868:lthtmlCropMarkHeight:=13.842pt :tex2html_wrap_indisplay64868:lthtmlCropMarkDepth:=0.19798pt:1ex:=5.4pt [4955] :tex2html_wrap_indisplay64869:lthtmlCropMarkHeight:=14.72398pt :tex2html_wrap_indisplay64869:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [4956] :tex2html_wrap_inline64871:lthtmlCropMarkHeight:=14.09999pt :tex2html_wrap_inline64871:lthtmlCropMarkDepth:=0.15pt:1ex:=5.4pt [4957] :tex2html_wrap_inline64873:lthtmlCropMarkHeight:=14.12398pt :tex2html_wrap_inline64873:lthtmlCropMarkDepth:=0.15pt:1ex:=5.4pt [4958] :tex2html_wrap_inline64881:lthtmlCropMarkHeight:=14.12398pt :tex2html_wrap_inline64881:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [4959] :tex2html_wrap_indisplay64889:lthtmlCropMarkHeight:=20.11998pt :tex2html_wrap_indisplay64889:lthtmlCropMarkDepth:=5.64pt:1ex:=5.4pt [4960] :tex2html_wrap_indisplay64891:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay64891:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4961] :tex2html_wrap_indisplay64897:lthtmlCropMarkHeight:=23.60399pt 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:tex2html_wrap_indisplay64921:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [4976] :tex2html_wrap_inline64925:lthtmlCropMarkHeight:=14.09999pt :tex2html_wrap_inline64925:lthtmlCropMarkDepth:=1.93199pt:1ex:=5.4pt [4977] :tex2html_wrap_indisplay64927:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay64927:lthtmlCropMarkDepth:=8.32199pt:1ex:=5.4pt [4978] :tex2html_wrap_indisplay64928:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay64928:lthtmlCropMarkDepth:=8.232pt:1ex:=5.4pt [4979] :tex2html_wrap_indisplay64936:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay64936:lthtmlCropMarkDepth:=8.39398pt:1ex:=5.4pt [4980] :tex2html_wrap_indisplay64938:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay64938:lthtmlCropMarkDepth:=8.39398pt:1ex:=5.4pt [4981] :tex2html_wrap_indisplay64939:lthtmlCropMarkHeight:=14.02798pt :tex2html_wrap_indisplay64939:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [4982] :tex2html_wrap_indisplay64940:lthtmlCropMarkHeight:=14.18999pt :tex2html_wrap_indisplay64940:lthtmlCropMarkDepth:=0.15pt:1ex:=5.4pt [4983] :tex2html_wrap_indisplay64941:lthtmlCropMarkHeight:=14.47198pt :tex2html_wrap_indisplay64941:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [4984] :tex2html_wrap_indisplay64942:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay64942:lthtmlCropMarkDepth:=8.39398pt:1ex:=5.4pt [4985] :tex2html_wrap_indisplay64943:lthtmlCropMarkHeight:=14.18999pt :tex2html_wrap_indisplay64943:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [4986] :tex2html_wrap_indisplay64944:lthtmlCropMarkHeight:=14.18999pt :tex2html_wrap_indisplay64944:lthtmlCropMarkDepth:=0.15pt:1ex:=5.4pt [4987] :tex2html_wrap_indisplay64945:lthtmlCropMarkHeight:=14.47198pt :tex2html_wrap_indisplay64945:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [4988] :tex2html_wrap_indisplay64946:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay64946:lthtmlCropMarkDepth:=8.39398pt:1ex:=5.4pt [4989] :tex2html_wrap_indisplay64947:lthtmlCropMarkHeight:=21.96599pt :tex2html_wrap_indisplay64947:lthtmlCropMarkDepth:=8.232pt:1ex:=5.4pt [4990] :tex2html_wrap_indisplay64948:lthtmlCropMarkHeight:=14.47198pt :tex2html_wrap_indisplay64948:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [4991] :tex2html_wrap_indisplay64949:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay64949:lthtmlCropMarkDepth:=8.39398pt:1ex:=5.4pt [4992] :tex2html_wrap_indisplay64950:lthtmlCropMarkHeight:=16.30798pt :tex2html_wrap_indisplay64950:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [4993] :tex2html_wrap_indisplay64951:lthtmlCropMarkHeight:=21.96599pt :tex2html_wrap_indisplay64951:lthtmlCropMarkDepth:=8.232pt:1ex:=5.4pt [4994] :tex2html_wrap_indisplay64952:lthtmlCropMarkHeight:=14.47198pt :tex2html_wrap_indisplay64952:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [4995] :tex2html_wrap_indisplay64953:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay64953:lthtmlCropMarkDepth:=8.39398pt:1ex:=5.4pt [4996] :tex2html_wrap_indisplay64954:lthtmlCropMarkHeight:=16.30798pt :tex2html_wrap_indisplay64954:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [4997] :tex2html_wrap_indisplay64955:lthtmlCropMarkHeight:=21.96599pt :tex2html_wrap_indisplay64955:lthtmlCropMarkDepth:=8.232pt:1ex:=5.4pt [4998] :tex2html_wrap_indisplay64956:lthtmlCropMarkHeight:=14.47198pt :tex2html_wrap_indisplay64956:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [4999] :tex2html_wrap_inline64958:lthtmlCropMarkHeight:=14.18999pt :tex2html_wrap_inline64958:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [5000] :tex2html_wrap_indisplay64972:lthtmlCropMarkHeight:=22.24797pt :tex2html_wrap_indisplay64972:lthtmlCropMarkDepth:=8.232pt:1ex:=5.4pt [5001] :tex2html_wrap_indisplay64973:lthtmlCropMarkHeight:=13.52399pt :tex2html_wrap_indisplay64973:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [5002] :tex2html_wrap_indisplay64974:lthtmlCropMarkHeight:=16.30798pt :tex2html_wrap_indisplay64974:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [5003] :tex2html_wrap_indisplay64975:lthtmlCropMarkHeight:=15.65399pt :tex2html_wrap_indisplay64975:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [5004] :tex2html_wrap_indisplay64976:lthtmlCropMarkHeight:=15.65399pt :tex2html_wrap_indisplay64976:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [5005] :tex2html_wrap_indisplay64977:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay64977:lthtmlCropMarkDepth:=8.39398pt:1ex:=5.4pt [5006] :tex2html_wrap_indisplay64978:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay64978:lthtmlCropMarkDepth:=8.39398pt:1ex:=5.4pt [5007] :tex2html_wrap_indisplay64979:lthtmlCropMarkHeight:=15.65399pt :tex2html_wrap_indisplay64979:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [5008] :tex2html_wrap_indisplay64980:lthtmlCropMarkHeight:=16.30798pt :tex2html_wrap_indisplay64980:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [5009] :tex2html_wrap_indisplay64981:lthtmlCropMarkHeight:=15.65399pt :tex2html_wrap_indisplay64981:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [5010] :tex2html_wrap_inline64983:lthtmlCropMarkHeight:=14.12398pt :tex2html_wrap_inline64983:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [5011] :tex2html_wrap_inline64985:lthtmlCropMarkHeight:=13.52399pt :tex2html_wrap_inline64985:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [5012] :tex2html_wrap_inline64987:lthtmlCropMarkHeight:=14.12398pt :tex2html_wrap_inline64987:lthtmlCropMarkDepth:=0.19798pt:1ex:=5.4pt [5013] :tex2html_wrap_indisplay64989:lthtmlCropMarkHeight:=17.80798pt :tex2html_wrap_indisplay64989:lthtmlCropMarkDepth:=5.64pt:1ex:=5.4pt [5014] :tex2html_wrap_indisplay64990:lthtmlCropMarkHeight:=17.80798pt :tex2html_wrap_indisplay64990:lthtmlCropMarkDepth:=5.64pt:1ex:=5.4pt [5015] :tex2html_wrap_indisplay64991:lthtmlCropMarkHeight:=17.80798pt :tex2html_wrap_indisplay64991:lthtmlCropMarkDepth:=5.64pt:1ex:=5.4pt [5016] :tex2html_wrap_indisplay64993:lthtmlCropMarkHeight:=14.72398pt :tex2html_wrap_indisplay64993:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [5017] :tex2html_wrap_indisplay64994:lthtmlCropMarkHeight:=14.09999pt :tex2html_wrap_indisplay64994:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [5018] :tex2html_wrap_indisplay64995:lthtmlCropMarkHeight:=14.02798pt :tex2html_wrap_indisplay64995:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [5019] :tex2html_wrap_indisplay64996:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay64996:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [5020] :tex2html_wrap_indisplay64997:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay64997:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [5021] :tex2html_wrap_indisplay64998:lthtmlCropMarkHeight:=15.65399pt :tex2html_wrap_indisplay64998:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [5022] :tex2html_wrap_indisplay65001:lthtmlCropMarkHeight:=14.18999pt :tex2html_wrap_indisplay65001:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [5023] :tex2html_wrap_indisplay65002:lthtmlCropMarkHeight:=14.18999pt :tex2html_wrap_indisplay65002:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [5024] :tex2html_wrap_indisplay65003:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay65003:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [5025] :tex2html_wrap_indisplay65004:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay65004:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [5026] :tex2html_wrap_indisplay65005:lthtmlCropMarkHeight:=15.65399pt :tex2html_wrap_indisplay65005:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [5027] :tex2html_wrap_indisplay65006:lthtmlCropMarkHeight:=14.72398pt :tex2html_wrap_indisplay65006:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [5028] :tex2html_wrap_indisplay65007:lthtmlCropMarkHeight:=16.30798pt :tex2html_wrap_indisplay65007:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [5029] :tex2html_wrap_indisplay65008:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay65008:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [5030] :tex2html_wrap_indisplay65009:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay65009:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [5031] :tex2html_wrap_indisplay65010:lthtmlCropMarkHeight:=15.65399pt :tex2html_wrap_indisplay65010:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [5032] :tex2html_wrap_indisplay65011:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay65011:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [5033] :tex2html_wrap_indisplay65012:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay65012:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [5034] :tex2html_wrap_indisplay65013:lthtmlCropMarkHeight:=15.65399pt :tex2html_wrap_indisplay65013:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [5035] :tex2html_wrap_indisplay65014:lthtmlCropMarkHeight:=16.30798pt :tex2html_wrap_indisplay65014:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [5036] :tex2html_wrap_indisplay65015:lthtmlCropMarkHeight:=16.30798pt :tex2html_wrap_indisplay65015:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [5037] :tex2html_wrap_indisplay65016:lthtmlCropMarkHeight:=16.30798pt :tex2html_wrap_indisplay65016:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [5038] :tex2html_wrap_indisplay65017:lthtmlCropMarkHeight:=16.30798pt :tex2html_wrap_indisplay65017:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [5039] :tex2html_wrap_indisplay65019:lthtmlCropMarkHeight:=18.27899pt :tex2html_wrap_indisplay65019:lthtmlCropMarkDepth:=16.19098pt:1ex:=5.4pt [5040] :tex2html_wrap_indisplay65020:lthtmlCropMarkHeight:=16.30798pt :tex2html_wrap_indisplay65020:lthtmlCropMarkDepth:=0.29999pt:1ex:=5.4pt [5041] :tex2html_wrap_indisplay65021:lthtmlCropMarkHeight:=27.81195pt :tex2html_wrap_indisplay65021:lthtmlCropMarkDepth:=14.83496pt:1ex:=5.4pt [5042] :tex2html_wrap_indisplay65022:lthtmlCropMarkHeight:=20.71799pt :tex2html_wrap_indisplay65022:lthtmlCropMarkDepth:=8.55pt:1ex:=5.4pt [5043] :tex2html_wrap_indisplay65023:lthtmlCropMarkHeight:=22.24797pt :tex2html_wrap_indisplay65023:lthtmlCropMarkDepth:=8.232pt:1ex:=5.4pt [5044] :tex2html_wrap_indisplay65024:lthtmlCropMarkHeight:=17.23357pt :tex2html_wrap_indisplay65024:lthtmlCropMarkDepth:=5.1424pt:1ex:=5.4pt [5045] :tex2html_wrap_indisplay65025:lthtmlCropMarkHeight:=19.428pt :tex2html_wrap_indisplay65025:lthtmlCropMarkDepth:=8.232pt:1ex:=5.4pt [5046] :tex2html_wrap_indisplay65026:lthtmlCropMarkHeight:=22.24797pt :tex2html_wrap_indisplay65026:lthtmlCropMarkDepth:=8.232pt:1ex:=5.4pt [5047] :tex2html_wrap_indisplay65027:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay65027:lthtmlCropMarkDepth:=8.39398pt:1ex:=5.4pt [5048] :tex2html_wrap_indisplay65028:lthtmlCropMarkHeight:=22.24797pt :tex2html_wrap_indisplay65028:lthtmlCropMarkDepth:=8.232pt:1ex:=5.4pt [5049] :tex2html_wrap_indisplay65029:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay65029:lthtmlCropMarkDepth:=8.39398pt:1ex:=5.4pt [5050] :tex2html_wrap_indisplay65030:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay65030:lthtmlCropMarkDepth:=8.232pt:1ex:=5.4pt [5051] :tex2html_wrap_indisplay65031:lthtmlCropMarkHeight:=17.23357pt :tex2html_wrap_indisplay65031:lthtmlCropMarkDepth:=5.1424pt:1ex:=5.4pt [5052] :tex2html_wrap_indisplay65032:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay65032:lthtmlCropMarkDepth:=8.232pt:1ex:=5.4pt [5053] :tex2html_wrap_indisplay65034:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay65034:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [5054] :tex2html_wrap_indisplay65035:lthtmlCropMarkHeight:=15.65399pt :tex2html_wrap_indisplay65035:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [5055] :tex2html_wrap_indisplay65036:lthtmlCropMarkHeight:=22.15198pt :tex2html_wrap_indisplay65036:lthtmlCropMarkDepth:=8.232pt:1ex:=5.4pt [5056] :tex2html_wrap_indisplay65037:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay65037:lthtmlCropMarkDepth:=8.39398pt:1ex:=5.4pt [5057] :tex2html_wrap_indisplay65038:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay65038:lthtmlCropMarkDepth:=8.39398pt:1ex:=5.4pt [5058] :tex2html_wrap_indisplay65039:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay65039:lthtmlCropMarkDepth:=8.39398pt:1ex:=5.4pt [5059] :tex2html_wrap_indisplay65040:lthtmlCropMarkHeight:=16.30798pt :tex2html_wrap_indisplay65040:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [5060] :tex2html_wrap_indisplay65043:lthtmlCropMarkHeight:=15.65399pt :tex2html_wrap_indisplay65043:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [5061] :tex2html_wrap_indisplay65044:lthtmlCropMarkHeight:=22.24797pt :tex2html_wrap_indisplay65044:lthtmlCropMarkDepth:=8.232pt:1ex:=5.4pt [5062] :tex2html_wrap_indisplay65045:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay65045:lthtmlCropMarkDepth:=8.39398pt:1ex:=5.4pt [5063] :tex2html_wrap_indisplay65047:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay65047:lthtmlCropMarkDepth:=8.39398pt:1ex:=5.4pt [5064] :tex2html_wrap_indisplay65048:lthtmlCropMarkHeight:=16.30798pt :tex2html_wrap_indisplay65048:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [5065] :tex2html_wrap_inline65062:lthtmlCropMarkHeight:=14.18999pt :tex2html_wrap_inline65062:lthtmlCropMarkDepth:=2.47198pt:1ex:=5.4pt [5066] :tex2html_wrap_inline65064:lthtmlCropMarkHeight:=13.842pt :tex2html_wrap_inline65064:lthtmlCropMarkDepth:=2.508pt:1ex:=5.4pt [5067] :tex2html_wrap_inline65068:lthtmlCropMarkHeight:=14.47198pt :tex2html_wrap_inline65068:lthtmlCropMarkDepth:=1.90797pt:1ex:=5.4pt [5068] ! Package amsmath Error: Invalid use of \displaybreak. See the amsmath package documentation for explanation. Type H for immediate help. ... l.31295 \lthtmlindisplaymathZ Your command was ignored. Type I to replace it with another command, or to continue without it. :tex2html_wrap_indisplay65070:lthtmlCropMarkHeight:=22.15198pt :tex2html_wrap_indisplay65070:lthtmlCropMarkDepth:=16.19098pt:1ex:=5.4pt [5069] :tex2html_wrap_indisplay65076:lthtmlCropMarkHeight:=19.428pt :tex2html_wrap_indisplay65076:lthtmlCropMarkDepth:=8.232pt:1ex:=5.4pt [5070] ! Package amsmath Error: Invalid use of \displaybreak. See the amsmath package documentation for explanation. Type H for immediate help. ... l.31308 \lthtmlindisplaymathZ Your command was ignored. Type I to replace it with another command, or to continue without it. :tex2html_wrap_indisplay65077:lthtmlCropMarkHeight:=17.80199pt :tex2html_wrap_indisplay65077:lthtmlCropMarkDepth:=5.634pt:1ex:=5.4pt [5071] :tex2html_wrap_indisplay65079:lthtmlCropMarkHeight:=22.15198pt :tex2html_wrap_indisplay65079:lthtmlCropMarkDepth:=8.39398pt:1ex:=5.4pt [5072] :tex2html_wrap_indisplay65080:lthtmlCropMarkHeight:=22.15198pt :tex2html_wrap_indisplay65080:lthtmlCropMarkDepth:=8.39398pt:1ex:=5.4pt [5073] :tex2html_wrap_indisplay65081:lthtmlCropMarkHeight:=22.15198pt :tex2html_wrap_indisplay65081:lthtmlCropMarkDepth:=8.232pt:1ex:=5.4pt [5074] :tex2html_wrap_inline65083:lthtmlCropMarkHeight:=14.47198pt :tex2html_wrap_inline65083:lthtmlCropMarkDepth:=3.79198pt:1ex:=5.4pt [5075] ! Package amsmath Error: Invalid use of \displaybreak. See the amsmath package documentation for explanation. Type H for immediate help. ... l.31338 \lthtmlindisplaymathZ Your command was ignored. Type I to replace it with another command, or to continue without it. :tex2html_wrap_indisplay65085:lthtmlCropMarkHeight:=19.428pt :tex2html_wrap_indisplay65085:lthtmlCropMarkDepth:=16.19098pt:1ex:=5.4pt [5076] :tex2html_wrap_indisplay65087:lthtmlCropMarkHeight:=19.428pt :tex2html_wrap_indisplay65087:lthtmlCropMarkDepth:=16.19098pt:1ex:=5.4pt [5077] :tex2html_wrap_indisplay65091:lthtmlCropMarkHeight:=23.83197pt :tex2html_wrap_indisplay65091:lthtmlCropMarkDepth:=8.232pt:1ex:=5.4pt [5078] ! Package amsmath Error: Invalid use of \displaybreak. See the amsmath package documentation for explanation. Type H for immediate help. ... l.31358 \lthtmlindisplaymathZ Your command was ignored. Type I to replace it with another command, or to continue without it. :tex2html_wrap_indisplay65092:lthtmlCropMarkHeight:=17.80199pt :tex2html_wrap_indisplay65092:lthtmlCropMarkDepth:=5.634pt:1ex:=5.4pt [5079] :tex2html_wrap_indisplay65094:lthtmlCropMarkHeight:=22.15198pt :tex2html_wrap_indisplay65094:lthtmlCropMarkDepth:=8.39398pt:1ex:=5.4pt [5080] :tex2html_wrap_indisplay65095:lthtmlCropMarkHeight:=22.15198pt :tex2html_wrap_indisplay65095:lthtmlCropMarkDepth:=8.39398pt:1ex:=5.4pt [5081] :tex2html_wrap_indisplay65135:lthtmlCropMarkHeight:=16.008pt :tex2html_wrap_indisplay65135:lthtmlCropMarkDepth:=1.89998pt:1ex:=5.4pt [5082] :tex2html_wrap_inline65137:lthtmlCropMarkHeight:=14.18999pt :tex2html_wrap_inline65137:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [5083] :tex2html_wrap_inline65139:lthtmlCropMarkHeight:=14.18999pt :tex2html_wrap_inline65139:lthtmlCropMarkDepth:=2.12999pt:1ex:=5.4pt [5084] :tex2html_wrap_indisplay65141:lthtmlCropMarkHeight:=23.02998pt 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:tex2html_wrap_indisplay65290:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [5148] :tex2html_wrap_indisplay65291:lthtmlCropMarkHeight:=22.31398pt :tex2html_wrap_indisplay65291:lthtmlCropMarkDepth:=8.38199pt:1ex:=5.4pt [5149] :tex2html_wrap_indisplay65292:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay65292:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [5150] :tex2html_wrap_inline65297:lthtmlCropMarkHeight:=17.974pt :tex2html_wrap_inline65297:lthtmlCropMarkDepth:=4.98997pt:1ex:=5.4pt [5151] :tex2html_wrap_indisplay65321:lthtmlCropMarkHeight:=23.87997pt :tex2html_wrap_indisplay65321:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [5152] :tex2html_wrap_indisplay65325:lthtmlCropMarkHeight:=23.60399pt :tex2html_wrap_indisplay65325:lthtmlCropMarkDepth:=11.43599pt:1ex:=5.4pt [5153] (./images.aux) LaTeX Warning: There were multiply-defined labels. ) Here is how much of TeX's memory you used: 6780 strings out of 477909 106464 string characters out of 5837599 1858388 words of memory out of 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PDF statistics: 17267 PDF objects out of 18468 (max. 8388607) 11833 compressed objects within 119 object streams 0 named destinations out of 1000 (max. 500000) 376 words of extra memory for PDF output out of 10000 (max. 10000000)