SethMastersThesis.log

This is pdfTeX, Version 3.14159265-2.6-1.40.18 (MiKTeX 2.9.6350 64-bit) (preloaded format=pdflatex 2017.7.21)  21 JUL 2017 01:24
entering extended mode
**./SethMastersThesis.tex
(SethMastersThesis.tex
LaTeX2e <2017-04-15>
Babel <3.10> and hyphenation patterns for 75 language(s) loaded.
(dalthesis.cls
Document Class: dalthesis 2012/11/13 v1.0 Dalhousie University thesis class
("C:\Program Files\MiKTeX 2.9\tex\latex\base\report.cls"
Document Class: report 2014/09/29 v1.4h Standard LaTeX document class
("C:\Program Files\MiKTeX 2.9\tex\latex\base\size12.clo"
File: size12.clo 2014/09/29 v1.4h Standard LaTeX file (size option)
)
\c@part=\count79
\c@chapter=\count80
\c@section=\count81
\c@subsection=\count82
\c@subsubsection=\count83
\c@paragraph=\count84
\c@subparagraph=\count85
\c@figure=\count86
\c@table=\count87
\abovecaptionskip=\skip41
\belowcaptionskip=\skip42
\bibindent=\dimen102
)
("C:\Program Files\MiKTeX 2.9\tex\latex\tools\afterpage.sty"
Package: afterpage 2014/10/28 v1.08 After-Page Package (DPC)
\AP@output=\toks14
\AP@partial=\box26
\AP@footins=\box27
)
\dal@textheight@default=\skip43
\dal@textheight@footer=\skip44
\dal@tempdima=\dimen103
\dal@tempdimb=\dimen104
\dal@supervisornum=\count88
\c@dal@signatures=\count89
\c@dal@readernum=\count90
) (pdfx.sty
Package: pdfx 2014/02/26 v1.5 PDF/X and PDF/A support (CVR/HTH/RRM)
{C:/ProgramData/MiKTeX/2.9/pdftex/config/pdftex.map}
("C:\Program Files\MiKTeX 2.9\tex\latex\hyperref\hyperref.sty"
Package: hyperref 2017/03/14 v6.85a Hypertext links for LaTeX

("C:\Program Files\MiKTeX 2.9\tex\generic\oberdiek\hobsub-hyperref.sty"
Package: hobsub-hyperref 2016/05/16 v1.14 Bundle oberdiek, subset hyperref (HO)


("C:\Program Files\MiKTeX 2.9\tex\generic\oberdiek\hobsub-generic.sty"
Package: hobsub-generic 2016/05/16 v1.14 Bundle oberdiek, subset generic (HO)
Package: hobsub 2016/05/16 v1.14 Construct package bundles (HO)
Package: infwarerr 2016/05/16 v1.4 Providing info/warning/error messages (HO)
Package: ltxcmds 2016/05/16 v1.23 LaTeX kernel commands for general use (HO)
Package: ifluatex 2016/05/16 v1.4 Provides the ifluatex switch (HO)
Package ifluatex Info: LuaTeX not detected.
Package: ifvtex 2016/05/16 v1.6 Detect VTeX and its facilities (HO)
Package ifvtex Info: VTeX not detected.
Package: intcalc 2016/05/16 v1.2 Expandable calculations with integers (HO)
Package: ifpdf 2017/03/15 v3.2 Provides the ifpdf switch
Package: etexcmds 2016/05/16 v1.6 Avoid name clashes with e-TeX commands (HO)
Package etexcmds Info: Could not find \expanded.
(etexcmds)             That can mean that you are not using pdfTeX 1.50 or
(etexcmds)             that some package has redefined \expanded.
(etexcmds)             In the latter case, load this package earlier.
Package: kvsetkeys 2016/05/16 v1.17 Key value parser (HO)
Package: kvdefinekeys 2016/05/16 v1.4 Define keys (HO)
Package: pdftexcmds 2017/03/19 v0.25 Utility functions of pdfTeX for LuaTeX (HO
)
Package pdftexcmds Info: LuaTeX not detected.
Package pdftexcmds Info: \pdf@primitive is available.
Package pdftexcmds Info: \pdf@ifprimitive is available.
Package pdftexcmds Info: \pdfdraftmode found.
Package: pdfescape 2016/05/16 v1.14 Implements pdfTeX's escape features (HO)
Package: bigintcalc 2016/05/16 v1.4 Expandable calculations on big integers (HO
)
Package: bitset 2016/05/16 v1.2 Handle bit-vector datatype (HO)
Package: uniquecounter 2016/05/16 v1.3 Provide unlimited unique counter (HO)
)
Package hobsub Info: Skipping package `hobsub' (already loaded).
Package: letltxmacro 2016/05/16 v1.5 Let assignment for LaTeX macros (HO)
Package: hopatch 2016/05/16 v1.3 Wrapper for package hooks (HO)
Package: xcolor-patch 2016/05/16 xcolor patch
Package: atveryend 2016/05/16 v1.9 Hooks at the very end of document (HO)
Package atveryend Info: \AP@enddocument detected (standard20110627).
Package: atbegshi 2016/06/09 v1.18 At begin shipout hook (HO)
Package: refcount 2016/05/16 v3.5 Data extraction from label references (HO)
Package: hycolor 2016/05/16 v1.8 Color options for hyperref/bookmark (HO)
)
("C:\Program Files\MiKTeX 2.9\tex\latex\graphics\keyval.sty"
Package: keyval 2014/10/28 v1.15 key=value parser (DPC)
\KV@toks@=\toks15
)
("C:\Program Files\MiKTeX 2.9\tex\generic\ifxetex\ifxetex.sty"
Package: ifxetex 2010/09/12 v0.6 Provides ifxetex conditional
)
("C:\Program Files\MiKTeX 2.9\tex\latex\oberdiek\auxhook.sty"
Package: auxhook 2016/05/16 v1.4 Hooks for auxiliary files (HO)
)
("C:\Program Files\MiKTeX 2.9\tex\latex\oberdiek\kvoptions.sty"
Package: kvoptions 2016/05/16 v3.12 Key value format for package options (HO)
)
\@linkdim=\dimen105
\Hy@linkcounter=\count91
\Hy@pagecounter=\count92

("C:\Program Files\MiKTeX 2.9\tex\latex\hyperref\pd1enc.def"
File: pd1enc.def 2017/03/14 v6.85a Hyperref: PDFDocEncoding definition (HO)
)
\Hy@SavedSpaceFactor=\count93

("C:\Program Files\MiKTeX 2.9\tex\latex\00miktex\hyperref.cfg"
File: hyperref.cfg 2002/06/06 v1.2 hyperref configuration of TeXLive
)
Package hyperref Info: Option `pdfa' set `true' on input line 4374.
Package hyperref Info: Hyper figures OFF on input line 4498.
Package hyperref Info: Link nesting OFF on input line 4503.
Package hyperref Info: Hyper index ON on input line 4506.
Package hyperref Info: Plain pages OFF on input line 4513.
Package hyperref Info: Backreferencing OFF on input line 4518.
Package hyperref Info: Implicit mode ON; LaTeX internals redefined.
Package hyperref Info: Bookmarks ON on input line 4751.
\c@Hy@tempcnt=\count94

("C:\Program Files\MiKTeX 2.9\tex\latex\url\url.sty"
\Urlmuskip=\muskip10
Package: url 2013/09/16  ver 3.4  Verb mode for urls, etc.
)
LaTeX Info: Redefining \url on input line 5104.
\XeTeXLinkMargin=\dimen106
\Fld@menulength=\count95
\Field@Width=\dimen107
\Fld@charsize=\dimen108
Package hyperref Info: Hyper figures OFF on input line 6358.
Package hyperref Info: Link nesting OFF on input line 6363.
Package hyperref Info: Hyper index ON on input line 6366.
Package hyperref Info: backreferencing OFF on input line 6373.
Package hyperref Info: Link coloring OFF on input line 6378.
Package hyperref Info: Link coloring with OCG OFF on input line 6383.
Package hyperref Info: PDF/A mode ON on input line 6386.
LaTeX Info: Redefining \ref on input line 6428.
LaTeX Info: Redefining \pageref on input line 6432.
\Hy@abspage=\count96
\c@Item=\count97
\c@Hfootnote=\count98
)

Package hyperref Message: Driver: hpdftex.

("C:\Program Files\MiKTeX 2.9\tex\latex\hyperref\hpdftex.def"
File: hpdftex.def 2017/03/14 v6.85a Hyperref driver for pdfTeX
Package hyperref Info: \pdfminorversion:=4 on input line 217.
\Fld@listcount=\count99
\c@bookmark@seq@number=\count100

("C:\Program Files\MiKTeX 2.9\tex\latex\oberdiek\rerunfilecheck.sty"
Package: rerunfilecheck 2016/05/16 v1.8 Rerun checks for auxiliary files (HO)
Package uniquecounter Info: New unique counter `rerunfilecheck' on input line 2
82.
)
\Hy@SectionHShift=\skip45
)
(SethMastersThesis.xmpdata)
("C:\Program Files\MiKTeX 2.9\tex\latex\xmpincl\xmpincl.sty"
Package: xmpincl 2008/05/10 v2.2 Include XMP data in pdflatex

("C:\Program Files\MiKTeX 2.9\tex\latex\base\ifthen.sty"
Package: ifthen 2014/09/29 v1.1c Standard LaTeX ifthen package (DPC)
))<<sRGB_IEC61966-2-1_black_scaled.icc>>
\xmpinclWrite=\write3
\xmpinclRead=\read1
\openout3 = `pdfa.xmpi'.

<<pdfa.xmpi>> (glyphtounicode.tex) (glyphtounicode-cmr.tex))
("C:\Program Files\MiKTeX 2.9\tex\latex\amsmath\amsmath.sty"
Package: amsmath 2016/11/05 v2.16a AMS math features
\@mathmargin=\skip46

For additional information on amsmath, use the `?' option.
("C:\Program Files\MiKTeX 2.9\tex\latex\amsmath\amstext.sty"
Package: amstext 2000/06/29 v2.01 AMS text

("C:\Program Files\MiKTeX 2.9\tex\latex\amsmath\amsgen.sty"
File: amsgen.sty 1999/11/30 v2.0 generic functions
\@emptytoks=\toks16
\ex@=\dimen109
))
("C:\Program Files\MiKTeX 2.9\tex\latex\amsmath\amsbsy.sty"
Package: amsbsy 1999/11/29 v1.2d Bold Symbols
\pmbraise@=\dimen110
)
("C:\Program Files\MiKTeX 2.9\tex\latex\amsmath\amsopn.sty"
Package: amsopn 2016/03/08 v2.02 operator names
)
\inf@bad=\count101
LaTeX Info: Redefining \frac on input line 213.
\uproot@=\count102
\leftroot@=\count103
LaTeX Info: Redefining \overline on input line 375.
\classnum@=\count104
\DOTSCASE@=\count105
LaTeX Info: Redefining \ldots on input line 472.
LaTeX Info: Redefining \dots on input line 475.
LaTeX Info: Redefining \cdots on input line 596.
\Mathstrutbox@=\box28
\strutbox@=\box29
\big@size=\dimen111
LaTeX Font Info:    Redeclaring font encoding OML on input line 712.
LaTeX Font Info:    Redeclaring font encoding OMS on input line 713.
\macc@depth=\count106
\c@MaxMatrixCols=\count107
\dotsspace@=\muskip11
\c@parentequation=\count108
\dspbrk@lvl=\count109
\tag@help=\toks17
\row@=\count110
\column@=\count111
\maxfields@=\count112
\andhelp@=\toks18
\eqnshift@=\dimen112
\alignsep@=\dimen113
\tagshift@=\dimen114
\tagwidth@=\dimen115
\totwidth@=\dimen116
\lineht@=\dimen117
\@envbody=\toks19
\multlinegap=\skip47
\multlinetaggap=\skip48
\mathdisplay@stack=\toks20
LaTeX Info: Redefining \[ on input line 2817.
LaTeX Info: Redefining \] on input line 2818.
)
("C:\Program Files\MiKTeX 2.9\tex\latex\amsfonts\amsfonts.sty"
Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support
\symAMSa=\mathgroup4
\symAMSb=\mathgroup5
LaTeX Font Info:    Overwriting math alphabet `\mathfrak' in version `bold'
(Font)                  U/euf/m/n --> U/euf/b/n on input line 106.
)
("C:\Program Files\MiKTeX 2.9\tex\latex\amscls\amsthm.sty"
Package: amsthm 2015/03/04 v2.20.2
\thm@style=\toks21
\thm@bodyfont=\toks22
\thm@headfont=\toks23
\thm@notefont=\toks24
\thm@headpunct=\toks25
\thm@preskip=\skip49
\thm@postskip=\skip50
\thm@headsep=\skip51
\dth@everypar=\toks26
)
("C:\Program Files\MiKTeX 2.9\tex\latex\amsfonts\amssymb.sty"
Package: amssymb 2013/01/14 v3.01 AMS font symbols
)
("C:\Program Files\MiKTeX 2.9\tex\latex\setspace\setspace.sty"
Package: setspace 2011/12/19 v6.7a set line spacing
)
("C:\Program Files\MiKTeX 2.9\tex\latex\tools\enumerate.sty"
Package: enumerate 2015/07/23 v3.00 enumerate extensions (DPC)
\@enLab=\toks27
)
("C:\Program Files\MiKTeX 2.9\tex\latex\fancyhdr\fancyhdr.sty"
Package: fancyhdr 2017/06/30 v3.9a Extensive control of page headers and footer
s
\f@nch@headwidth=\skip52
\f@nch@O@elh=\skip53
\f@nch@O@erh=\skip54
\f@nch@O@olh=\skip55
\f@nch@O@orh=\skip56
\f@nch@O@elf=\skip57
\f@nch@O@erf=\skip58
\f@nch@O@olf=\skip59
\f@nch@O@orf=\skip60
)
("C:\Program Files\MiKTeX 2.9\tex\latex\lastpage\lastpage.sty"
Package: lastpage 2015/03/29 v1.2m Refers to last page's name (HMM; JPG)
)
("C:\Program Files\MiKTeX 2.9\tex\latex\fancyhdr\extramarks.sty"
Package: extramarks 2017/06/30 v3.9a Extra marks for LaTeX
\@temptokenb=\toks28
)
("C:\Program Files\MiKTeX 2.9\tex\latex\ltxmisc\chngpage.sty"
Package: chngpage 2003/08/10 v1.2 change page layout
\c@cp@cnt=\count113
\c@cp@tempcnt=\count114
)
("C:\Program Files\MiKTeX 2.9\tex\latex\soul\soul.sty"
Package: soul 2003/11/17 v2.4 letterspacing/underlining (mf)
\SOUL@word=\toks29
\SOUL@lasttoken=\toks30
\SOUL@cmds=\toks31
\SOUL@buffer=\toks32
\SOUL@token=\toks33
\SOUL@spaceskip=\skip61
\SOUL@ttwidth=\dimen118
\SOUL@uldp=\dimen119
\SOUL@ulht=\dimen120
)
("C:\Program Files\MiKTeX 2.9\tex\latex\graphics\color.sty"
Package: color 2016/07/10 v1.1e Standard LaTeX Color (DPC)

("C:\Program Files\MiKTeX 2.9\tex\latex\graphics-cfg\color.cfg"
File: color.cfg 2016/01/02 v1.6 sample color configuration
)
Package color Info: Driver file: pdftex.def on input line 147.

("C:\Program Files\MiKTeX 2.9\tex\latex\graphics-def\pdftex.def"
File: pdftex.def 2017/01/12 v0.06k Graphics/color for pdfTeX
\Gread@gobject=\count115
)
("C:\Program Files\MiKTeX 2.9\tex\latex\graphics\dvipsnam.def"
File: dvipsnam.def 2016/06/17 v3.0m Driver-dependent file (DPC,SPQR)
))
("C:\Program Files\MiKTeX 2.9\tex\latex\graphics\graphicx.sty"
Package: graphicx 2014/10/28 v1.0g Enhanced LaTeX Graphics (DPC,SPQR)

("C:\Program Files\MiKTeX 2.9\tex\latex\graphics\graphics.sty"
Package: graphics 2017/04/14 v1.1b Standard LaTeX Graphics (DPC,SPQR)

("C:\Program Files\MiKTeX 2.9\tex\latex\graphics\trig.sty"
Package: trig 2016/01/03 v1.10 sin cos tan (DPC)
)
("C:\Program Files\MiKTeX 2.9\tex\latex\graphics-cfg\graphics.cfg"
File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration
)
Package graphics Info: Driver file: pdftex.def on input line 99.
)
\Gin@req@height=\dimen121
\Gin@req@width=\dimen122
)
("C:\Program Files\MiKTeX 2.9\tex\latex\float\float.sty"
Package: float 2001/11/08 v1.3d Float enhancements (AL)
\c@float@type=\count116
\float@exts=\toks34
\float@box=\box30
\@float@everytoks=\toks35
\@floatcapt=\box31
)
("C:\Program Files\MiKTeX 2.9\tex\latex\wrapfig\wrapfig.sty"
\wrapoverhang=\dimen123
\WF@size=\dimen124
\c@WF@wrappedlines=\count117
\WF@box=\box32
\WF@everypar=\toks36
Package: wrapfig 2003/01/31  v 3.6
)
("C:\Program Files\MiKTeX 2.9\tex\latex\listings\listings.sty"
\lst@mode=\count118
\lst@gtempboxa=\box33
\lst@token=\toks37
\lst@length=\count119
\lst@currlwidth=\dimen125
\lst@column=\count120
\lst@pos=\count121
\lst@lostspace=\dimen126
\lst@width=\dimen127
\lst@newlines=\count122
\lst@lineno=\count123
\lst@maxwidth=\dimen128

("C:\Program Files\MiKTeX 2.9\tex\latex\listings\lstmisc.sty"
File: lstmisc.sty 2015/06/04 1.6 (Carsten Heinz)
\c@lstnumber=\count124
\lst@skipnumbers=\count125
\lst@framebox=\box34
)
("C:\Program Files\MiKTeX 2.9\tex\latex\listings\listings.cfg"
File: listings.cfg 2015/06/04 1.6 listings configuration
))
Package: listings 2015/06/04 1.6 (Carsten Heinz)

("C:\Program Files\MiKTeX 2.9\tex\latex\psnfss\courier.sty"
Package: courier 2005/04/12 PSNFSS-v9.2a (WaS) 
) (algorithmic.sty
Package: algorithmic 2009/08/24 v0.1 Document Style `algorithmic'
\c@ALC@unique=\count126
\c@ALC@line=\count127
\c@ALC@rem=\count128
\c@ALC@depth=\count129
\ALC@tlm=\skip62
\algorithmicindent=\skip63
)
("C:\Program Files\MiKTeX 2.9\tex\latex\tools\verbatim.sty"
Package: verbatim 2014/10/28 v1.5q LaTeX2e package for verbatim enhancements
\every@verbatim=\toks38
\verbatim@line=\toks39
\verbatim@in@stream=\read2
)
Package hyperref Info: Option `unicode' set `true' on input line 19.

("C:\Program Files\MiKTeX 2.9\tex\latex\hyperref\puenc.def"
File: puenc.def 2017/03/14 v6.85a Hyperref: PDF Unicode definition (HO)
)
("C:\Program Files\MiKTeX 2.9\tex\latex\base\inputenc.sty"
Package: inputenc 2015/03/17 v1.2c Input encoding file
\inpenc@prehook=\toks40
\inpenc@posthook=\toks41

("C:\Program Files\MiKTeX 2.9\tex\latex\base\utf8.def"
File: utf8.def 2017/01/28 v1.1t UTF-8 support for inputenc
Now handling font encoding OML ...
... no UTF-8 mapping file for font encoding OML
Now handling font encoding T1 ...
... processing UTF-8 mapping file for font encoding T1

("C:\Program Files\MiKTeX 2.9\tex\latex\base\t1enc.dfu"
File: t1enc.dfu 2017/01/28 v1.1t UTF-8 support for inputenc
   defining Unicode char U+00A0 (decimal 160)
   defining Unicode char U+00A1 (decimal 161)
   defining Unicode char U+00A3 (decimal 163)
   defining Unicode char U+00AB (decimal 171)
   defining Unicode char U+00AD (decimal 173)
   defining Unicode char U+00BB (decimal 187)
   defining Unicode char U+00BF (decimal 191)
   defining Unicode char U+00C0 (decimal 192)
   defining Unicode char U+00C1 (decimal 193)
   defining Unicode char U+00C2 (decimal 194)
   defining Unicode char U+00C3 (decimal 195)
   defining Unicode char U+00C4 (decimal 196)
   defining Unicode char U+00C5 (decimal 197)
   defining Unicode char U+00C6 (decimal 198)
   defining Unicode char U+00C7 (decimal 199)
   defining Unicode char U+00C8 (decimal 200)
   defining Unicode char U+00C9 (decimal 201)
   defining Unicode char U+00CA (decimal 202)
   defining Unicode char U+00CB (decimal 203)
   defining Unicode char U+00CC (decimal 204)
   defining Unicode char U+00CD (decimal 205)
   defining Unicode char U+00CE (decimal 206)
   defining Unicode char U+00CF (decimal 207)
   defining Unicode char U+00D0 (decimal 208)
   defining Unicode char U+00D1 (decimal 209)
   defining Unicode char U+00D2 (decimal 210)
   defining Unicode char U+00D3 (decimal 211)
   defining Unicode char U+00D4 (decimal 212)
   defining Unicode char U+00D5 (decimal 213)
   defining Unicode char U+00D6 (decimal 214)
   defining Unicode char U+00D8 (decimal 216)
   defining Unicode char U+00D9 (decimal 217)
   defining Unicode char U+00DA (decimal 218)
   defining Unicode char U+00DB (decimal 219)
   defining Unicode char U+00DC (decimal 220)
   defining Unicode char U+00DD (decimal 221)
   defining Unicode char U+00DE (decimal 222)
   defining Unicode char U+00DF (decimal 223)
   defining Unicode char U+00E0 (decimal 224)
   defining Unicode char U+00E1 (decimal 225)
   defining Unicode char U+00E2 (decimal 226)
   defining Unicode char U+00E3 (decimal 227)
   defining Unicode char U+00E4 (decimal 228)
   defining Unicode char U+00E5 (decimal 229)
   defining Unicode char U+00E6 (decimal 230)
   defining Unicode char U+00E7 (decimal 231)
   defining Unicode char U+00E8 (decimal 232)
   defining Unicode char U+00E9 (decimal 233)
   defining Unicode char U+00EA (decimal 234)
   defining Unicode char U+00EB (decimal 235)
   defining Unicode char U+00EC (decimal 236)
   defining Unicode char U+00ED (decimal 237)
   defining Unicode char U+00EE (decimal 238)
   defining Unicode char U+00EF (decimal 239)
   defining Unicode char U+00F0 (decimal 240)
   defining Unicode char U+00F1 (decimal 241)
   defining Unicode char U+00F2 (decimal 242)
   defining Unicode char U+00F3 (decimal 243)
   defining Unicode char U+00F4 (decimal 244)
   defining Unicode char U+00F5 (decimal 245)
   defining Unicode char U+00F6 (decimal 246)
   defining Unicode char U+00F8 (decimal 248)
   defining Unicode char U+00F9 (decimal 249)
   defining Unicode char U+00FA (decimal 250)
   defining Unicode char U+00FB (decimal 251)
   defining Unicode char U+00FC (decimal 252)
   defining Unicode char U+00FD (decimal 253)
   defining Unicode char U+00FE (decimal 254)
   defining Unicode char U+00FF (decimal 255)
   defining Unicode char U+0100 (decimal 256)
   defining Unicode char U+0101 (decimal 257)
   defining Unicode char U+0102 (decimal 258)
   defining Unicode char U+0103 (decimal 259)
   defining Unicode char U+0104 (decimal 260)
   defining Unicode char U+0105 (decimal 261)
   defining Unicode char U+0106 (decimal 262)
   defining Unicode char U+0107 (decimal 263)
   defining Unicode char U+0108 (decimal 264)
   defining Unicode char U+0109 (decimal 265)
   defining Unicode char U+010A (decimal 266)
   defining Unicode char U+010B (decimal 267)
   defining Unicode char U+010C (decimal 268)
   defining Unicode char U+010D (decimal 269)
   defining Unicode char U+010E (decimal 270)
   defining Unicode char U+010F (decimal 271)
   defining Unicode char U+0110 (decimal 272)
   defining Unicode char U+0111 (decimal 273)
   defining Unicode char U+0112 (decimal 274)
   defining Unicode char U+0113 (decimal 275)
   defining Unicode char U+0114 (decimal 276)
   defining Unicode char U+0115 (decimal 277)
   defining Unicode char U+0116 (decimal 278)
   defining Unicode char U+0117 (decimal 279)
   defining Unicode char U+0118 (decimal 280)
   defining Unicode char U+0119 (decimal 281)
   defining Unicode char U+011A (decimal 282)
   defining Unicode char U+011B (decimal 283)
   defining Unicode char U+011C (decimal 284)
   defining Unicode char U+011D (decimal 285)
   defining Unicode char U+011E (decimal 286)
   defining Unicode char U+011F (decimal 287)
   defining Unicode char U+0120 (decimal 288)
   defining Unicode char U+0121 (decimal 289)
   defining Unicode char U+0122 (decimal 290)
   defining Unicode char U+0123 (decimal 291)
   defining Unicode char U+0124 (decimal 292)
   defining Unicode char U+0125 (decimal 293)
   defining Unicode char U+0128 (decimal 296)
   defining Unicode char U+0129 (decimal 297)
   defining Unicode char U+012A (decimal 298)
   defining Unicode char U+012B (decimal 299)
   defining Unicode char U+012C (decimal 300)
   defining Unicode char U+012D (decimal 301)
   defining Unicode char U+012E (decimal 302)
   defining Unicode char U+012F (decimal 303)
   defining Unicode char U+0130 (decimal 304)
   defining Unicode char U+0131 (decimal 305)
   defining Unicode char U+0132 (decimal 306)
   defining Unicode char U+0133 (decimal 307)
   defining Unicode char U+0134 (decimal 308)
   defining Unicode char U+0135 (decimal 309)
   defining Unicode char U+0136 (decimal 310)
   defining Unicode char U+0137 (decimal 311)
   defining Unicode char U+0139 (decimal 313)
   defining Unicode char U+013A (decimal 314)
   defining Unicode char U+013B (decimal 315)
   defining Unicode char U+013C (decimal 316)
   defining Unicode char U+013D (decimal 317)
   defining Unicode char U+013E (decimal 318)
   defining Unicode char U+0141 (decimal 321)
   defining Unicode char U+0142 (decimal 322)
   defining Unicode char U+0143 (decimal 323)
   defining Unicode char U+0144 (decimal 324)
   defining Unicode char U+0145 (decimal 325)
   defining Unicode char U+0146 (decimal 326)
   defining Unicode char U+0147 (decimal 327)
   defining Unicode char U+0148 (decimal 328)
   defining Unicode char U+014A (decimal 330)
   defining Unicode char U+014B (decimal 331)
   defining Unicode char U+014C (decimal 332)
   defining Unicode char U+014D (decimal 333)
   defining Unicode char U+014E (decimal 334)
   defining Unicode char U+014F (decimal 335)
   defining Unicode char U+0150 (decimal 336)
   defining Unicode char U+0151 (decimal 337)
   defining Unicode char U+0152 (decimal 338)
   defining Unicode char U+0153 (decimal 339)
   defining Unicode char U+0154 (decimal 340)
   defining Unicode char U+0155 (decimal 341)
   defining Unicode char U+0156 (decimal 342)
   defining Unicode char U+0157 (decimal 343)
   defining Unicode char U+0158 (decimal 344)
   defining Unicode char U+0159 (decimal 345)
   defining Unicode char U+015A (decimal 346)
   defining Unicode char U+015B (decimal 347)
   defining Unicode char U+015C (decimal 348)
   defining Unicode char U+015D (decimal 349)
   defining Unicode char U+015E (decimal 350)
   defining Unicode char U+015F (decimal 351)
   defining Unicode char U+0160 (decimal 352)
   defining Unicode char U+0161 (decimal 353)
   defining Unicode char U+0162 (decimal 354)
   defining Unicode char U+0163 (decimal 355)
   defining Unicode char U+0164 (decimal 356)
   defining Unicode char U+0165 (decimal 357)
   defining Unicode char U+0168 (decimal 360)
   defining Unicode char U+0169 (decimal 361)
   defining Unicode char U+016A (decimal 362)
   defining Unicode char U+016B (decimal 363)
   defining Unicode char U+016C (decimal 364)
   defining Unicode char U+016D (decimal 365)
   defining Unicode char U+016E (decimal 366)
   defining Unicode char U+016F (decimal 367)
   defining Unicode char U+0170 (decimal 368)
   defining Unicode char U+0171 (decimal 369)
   defining Unicode char U+0172 (decimal 370)
   defining Unicode char U+0173 (decimal 371)
   defining Unicode char U+0174 (decimal 372)
   defining Unicode char U+0175 (decimal 373)
   defining Unicode char U+0176 (decimal 374)
   defining Unicode char U+0177 (decimal 375)
   defining Unicode char U+0178 (decimal 376)
   defining Unicode char U+0179 (decimal 377)
   defining Unicode char U+017A (decimal 378)
   defining Unicode char U+017B (decimal 379)
   defining Unicode char U+017C (decimal 380)
   defining Unicode char U+017D (decimal 381)
   defining Unicode char U+017E (decimal 382)
   defining Unicode char U+01CD (decimal 461)
   defining Unicode char U+01CE (decimal 462)
   defining Unicode char U+01CF (decimal 463)
   defining Unicode char U+01D0 (decimal 464)
   defining Unicode char U+01D1 (decimal 465)
   defining Unicode char U+01D2 (decimal 466)
   defining Unicode char U+01D3 (decimal 467)
   defining Unicode char U+01D4 (decimal 468)
   defining Unicode char U+01E2 (decimal 482)
   defining Unicode char U+01E3 (decimal 483)
   defining Unicode char U+01E6 (decimal 486)
   defining Unicode char U+01E7 (decimal 487)
   defining Unicode char U+01E8 (decimal 488)
   defining Unicode char U+01E9 (decimal 489)
   defining Unicode char U+01EA (decimal 490)
   defining Unicode char U+01EB (decimal 491)
   defining Unicode char U+01F0 (decimal 496)
   defining Unicode char U+01F4 (decimal 500)
   defining Unicode char U+01F5 (decimal 501)
   defining Unicode char U+0218 (decimal 536)
   defining Unicode char U+0219 (decimal 537)
   defining Unicode char U+021A (decimal 538)
   defining Unicode char U+021B (decimal 539)
   defining Unicode char U+0232 (decimal 562)
   defining Unicode char U+0233 (decimal 563)
   defining Unicode char U+1E02 (decimal 7682)
   defining Unicode char U+1E03 (decimal 7683)
   defining Unicode char U+200C (decimal 8204)
   defining Unicode char U+2010 (decimal 8208)
   defining Unicode char U+2011 (decimal 8209)
   defining Unicode char U+2012 (decimal 8210)
   defining Unicode char U+2013 (decimal 8211)
   defining Unicode char U+2014 (decimal 8212)
   defining Unicode char U+2015 (decimal 8213)
   defining Unicode char U+2018 (decimal 8216)
   defining Unicode char U+2019 (decimal 8217)
   defining Unicode char U+201A (decimal 8218)
   defining Unicode char U+201C (decimal 8220)
   defining Unicode char U+201D (decimal 8221)
   defining Unicode char U+201E (decimal 8222)
   defining Unicode char U+2030 (decimal 8240)
   defining Unicode char U+2031 (decimal 8241)
   defining Unicode char U+2039 (decimal 8249)
   defining Unicode char U+203A (decimal 8250)
   defining Unicode char U+2423 (decimal 9251)
   defining Unicode char U+1E20 (decimal 7712)
   defining Unicode char U+1E21 (decimal 7713)
)
Now handling font encoding OT1 ...
... processing UTF-8 mapping file for font encoding OT1

("C:\Program Files\MiKTeX 2.9\tex\latex\base\ot1enc.dfu"
File: ot1enc.dfu 2017/01/28 v1.1t UTF-8 support for inputenc
   defining Unicode char U+00A0 (decimal 160)
   defining Unicode char U+00A1 (decimal 161)
   defining Unicode char U+00A3 (decimal 163)
   defining Unicode char U+00AD (decimal 173)
   defining Unicode char U+00B8 (decimal 184)
   defining Unicode char U+00BF (decimal 191)
   defining Unicode char U+00C5 (decimal 197)
   defining Unicode char U+00C6 (decimal 198)
   defining Unicode char U+00D8 (decimal 216)
   defining Unicode char U+00DF (decimal 223)
   defining Unicode char U+00E6 (decimal 230)
   defining Unicode char U+00EC (decimal 236)
   defining Unicode char U+00ED (decimal 237)
   defining Unicode char U+00EE (decimal 238)
   defining Unicode char U+00EF (decimal 239)
   defining Unicode char U+00F8 (decimal 248)
   defining Unicode char U+0131 (decimal 305)
   defining Unicode char U+0141 (decimal 321)
   defining Unicode char U+0142 (decimal 322)
   defining Unicode char U+0152 (decimal 338)
   defining Unicode char U+0153 (decimal 339)
   defining Unicode char U+0174 (decimal 372)
   defining Unicode char U+0175 (decimal 373)
   defining Unicode char U+0176 (decimal 374)
   defining Unicode char U+0177 (decimal 375)
   defining Unicode char U+0218 (decimal 536)
   defining Unicode char U+0219 (decimal 537)
   defining Unicode char U+021A (decimal 538)
   defining Unicode char U+021B (decimal 539)
   defining Unicode char U+2013 (decimal 8211)
   defining Unicode char U+2014 (decimal 8212)
   defining Unicode char U+2018 (decimal 8216)
   defining Unicode char U+2019 (decimal 8217)
   defining Unicode char U+201C (decimal 8220)
   defining Unicode char U+201D (decimal 8221)
)
Now handling font encoding OMS ...
... processing UTF-8 mapping file for font encoding OMS

("C:\Program Files\MiKTeX 2.9\tex\latex\base\omsenc.dfu"
File: omsenc.dfu 2017/01/28 v1.1t UTF-8 support for inputenc
   defining Unicode char U+00A7 (decimal 167)
   defining Unicode char U+00B6 (decimal 182)
   defining Unicode char U+00B7 (decimal 183)
   defining Unicode char U+2020 (decimal 8224)
   defining Unicode char U+2021 (decimal 8225)
   defining Unicode char U+2022 (decimal 8226)
)
Now handling font encoding OMX ...
... no UTF-8 mapping file for font encoding OMX
Now handling font encoding U ...
... no UTF-8 mapping file for font encoding U
Now handling font encoding PD1 ...
... no UTF-8 mapping file for font encoding PD1
Now handling font encoding PU ...
... no UTF-8 mapping file for font encoding PU
   defining Unicode char U+00A9 (decimal 169)
   defining Unicode char U+00AA (decimal 170)
   defining Unicode char U+00AE (decimal 174)
   defining Unicode char U+00BA (decimal 186)
   defining Unicode char U+02C6 (decimal 710)
   defining Unicode char U+02DC (decimal 732)
   defining Unicode char U+200C (decimal 8204)
   defining Unicode char U+2026 (decimal 8230)
   defining Unicode char U+2122 (decimal 8482)
   defining Unicode char U+2423 (decimal 9251)
))
("C:\Program Files\MiKTeX 2.9\tex\generic\xypic\xy.sty"
("C:\Program Files\MiKTeX 2.9\tex\generic\xypic\xy.tex" Bootstrap'ing:
catcodes, docmode, ("C:\Program Files\MiKTeX 2.9\tex\generic\xypic\xyrecat.tex"
) ("C:\Program Files\MiKTeX 2.9\tex\generic\xypic\xyidioms.tex")

 Xy-pic version 3.8.9 <2013/10/06>
 Copyright (c) 1991-2013 by Kristoffer H. Rose <krisrose@tug.org> and others
 Xy-pic is free software: see the User's Guide for details.

Loading kernel: messages; fonts; allocations: state,
\X@c=\dimen129
\Y@c=\dimen130
\U@c=\dimen131
\D@c=\dimen132
\L@c=\dimen133
\R@c=\dimen134
\Edge@c=\toks42
\X@p=\dimen135
\Y@p=\dimen136
\U@p=\dimen137
\D@p=\dimen138
\L@p=\dimen139
\R@p=\dimen140
\Edge@p=\toks43
\X@origin=\dimen141
\Y@origin=\dimen142
\X@xbase=\dimen143
\Y@xbase=\dimen144
\X@ybase=\dimen145
\Y@ybase=\dimen146
\X@min=\dimen147
\Y@min=\dimen148
\X@max=\dimen149
\Y@max=\dimen150
\lastobjectbox@=\box35
\zerodotbox@=\box36
\almostz@=\dimen151
 direction,
\d@X=\dimen152
\d@Y=\dimen153
\K@=\count130
\KK@=\count131
\Direction=\count132
\K@dXdY=\dimen154
\K@dYdX=\dimen155
\xyread@=\read3
\xywrite@=\write4
\csp@=\count133
\quotPTK@=\dimen156

utility macros; pictures: \xy, positions,
\swaptoks@@=\toks44
\connectobjectbox@@=\box37
 objects,
\styletoks@=\toks45
 decorations;
kernel objects: directionals, circles, text; options; algorithms: directions,
edges, connections;  Xy-pic loaded)
Package: xy 2013/10/06 Xy-pic version 3.8.9

("C:\Program Files\MiKTeX 2.9\tex\generic\xypic\xyall.tex"
 Xy-pic option: All features v.3.8
("C:\Program Files\MiKTeX 2.9\tex\generic\xypic\xycurve.tex"
 Xy-pic option: Curve and Spline extension v.3.12 curve,
\crv@cnt@=\count134
\crvpts@=\toks46
\splinebox@=\box38
\splineval@=\dimen157
\splinedepth@=\dimen158
\splinetol@=\dimen159
\splinelength@=\dimen160
 circles,
\L@=\dimen161
 loaded)
("C:\Program Files\MiKTeX 2.9\tex\generic\xypic\xyframe.tex"
 Xy-pic option: Frame and Bracket extension v.3.14 loaded)
("C:\Program Files\MiKTeX 2.9\tex\generic\xypic\xycmtip.tex"
 Xy-pic option: Computer Modern tip extension v.3.7
("C:\Program Files\MiKTeX 2.9\tex\generic\xypic\xytips.tex"
 Xy-pic option: More Tips extension v.3.11 loaded) loaded)
("C:\Program Files\MiKTeX 2.9\tex\generic\xypic\xyline.tex"
 Xy-pic option: Line styles extension v.3.10
\xylinethick@=\dimen162
 loaded)
("C:\Program Files\MiKTeX 2.9\tex\generic\xypic\xyrotate.tex"
 Xy-pic option: Rotate and Scale extension v.3.8 loaded)
("C:\Program Files\MiKTeX 2.9\tex\generic\xypic\xycolor.tex"
 Xy-pic option: Colour extension v.3.11 loaded)
("C:\Program Files\MiKTeX 2.9\tex\generic\xypic\xymatrix.tex"
 Xy-pic option: Matrix feature v.3.14
\Row=\count135
\Col=\count136
\queue@=\toks47
\queue@@=\toks48
\qcount@=\count137
\qcount@@=\count138
\matrixsize@=\count139
 loaded)
("C:\Program Files\MiKTeX 2.9\tex\generic\xypic\xyarrow.tex"
 Xy-pic option: Arrow and Path feature v.3.9 path, \ar, loaded)
("C:\Program Files\MiKTeX 2.9\tex\generic\xypic\xygraph.tex"
 Xy-pic option: Graph feature v.3.11 loaded) loaded)
("C:\Program Files\MiKTeX 2.9\tex\generic\xypic\xypdf.tex"
 Xy-pic option: PDF driver v.1.7 Xy-pic pdf driver: `color' extension support
("C:\Program Files\MiKTeX 2.9\tex\generic\xypic\xypdf-co.tex" loaded)
Xy-pic pdf driver: `curve' extension support
("C:\Program Files\MiKTeX 2.9\tex\generic\xypic\xypdf-cu.tex" loaded)
Xy-pic pdf driver: `frame' extension support
("C:\Program Files\MiKTeX 2.9\tex\generic\xypic\xypdf-fr.tex" loaded)
Xy-pic pdf driver: `line' extension support
("C:\Program Files\MiKTeX 2.9\tex\generic\xypic\xypdf-li.tex" loaded)
Xy-pic pdf driver: `rotate' extension support
("C:\Program Files\MiKTeX 2.9\tex\generic\xypic\xypdf-ro.tex" loaded) loaded))
("C:\Program Files\MiKTeX 2.9\tex\latex\blkarray\blkarray.sty"
Package: blkarray 2015/02/27 v0.07 Block array (dpc)
\c@BAenumi=\count140
\BA@col=\count141
\BA@block@cnt=\count142
\BA@final@box=\box39
\BA@first@box=\box40
\BA@colsep=\dimen163
\BA@ftn=\toks49
\BAextrarowheight=\dimen164
\BAextraheightafterhline=\dimen165
\BAarrayrulewidth=\dimen166
\BAdoublerulesep=\dimen167
\BAfootskip=\dimen168
\BA@dashbox=\box41
\BA@ddashbox=\box42
)
("C:\Program Files\MiKTeX 2.9\tex\latex\pgf\frontendlayer\tikz.sty"
("C:\Program Files\MiKTeX 2.9\tex\latex\pgf\basiclayer\pgf.sty"
("C:\Program Files\MiKTeX 2.9\tex\latex\pgf\utilities\pgfrcs.sty"
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\utilities\pgfutil-common.tex"
\pgfutil@everybye=\toks50
\pgfutil@tempdima=\dimen169
\pgfutil@tempdimb=\dimen170

("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\utilities\pgfutil-common-lists.te
x")) ("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\utilities\pgfutil-latex.def"
\pgfutil@abb=\box43
("C:\Program Files\MiKTeX 2.9\tex\latex\ms\everyshi.sty"
Package: everyshi 2001/05/15 v3.00 EveryShipout Package (MS)
))
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\utilities\pgfrcs.code.tex"
Package: pgfrcs 2015/08/07 v3.0.1a (rcs-revision 1.31)
))
Package: pgf 2015/08/07 v3.0.1a (rcs-revision 1.15)

("C:\Program Files\MiKTeX 2.9\tex\latex\pgf\basiclayer\pgfcore.sty"
("C:\Program Files\MiKTeX 2.9\tex\latex\pgf\systemlayer\pgfsys.sty"
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\systemlayer\pgfsys.code.tex"
Package: pgfsys 2014/07/09 v3.0.1a (rcs-revision 1.48)

("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\utilities\pgfkeys.code.tex"
\pgfkeys@pathtoks=\toks51
\pgfkeys@temptoks=\toks52

("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\utilities\pgfkeysfiltered.code.te
x"
\pgfkeys@tmptoks=\toks53
))
\pgf@x=\dimen171
\pgf@y=\dimen172
\pgf@xa=\dimen173
\pgf@ya=\dimen174
\pgf@xb=\dimen175
\pgf@yb=\dimen176
\pgf@xc=\dimen177
\pgf@yc=\dimen178
\w@pgf@writea=\write5
\r@pgf@reada=\read4
\c@pgf@counta=\count143
\c@pgf@countb=\count144
\c@pgf@countc=\count145
\c@pgf@countd=\count146
\t@pgf@toka=\toks54
\t@pgf@tokb=\toks55
\t@pgf@tokc=\toks56
 ("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\systemlayer\pgf.cfg"
File: pgf.cfg 2008/05/14  (rcs-revision 1.7)
)
Driver file for pgf: pgfsys-pdftex.def

("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\systemlayer\pgfsys-pdftex.def"
File: pgfsys-pdftex.def 2014/10/11  (rcs-revision 1.35)

("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\systemlayer\pgfsys-common-pdf.def
"
File: pgfsys-common-pdf.def 2013/10/10  (rcs-revision 1.13)
)))
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\systemlayer\pgfsyssoftpath.code.t
ex"
File: pgfsyssoftpath.code.tex 2013/09/09  (rcs-revision 1.9)
\pgfsyssoftpath@smallbuffer@items=\count147
\pgfsyssoftpath@bigbuffer@items=\count148
)
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\systemlayer\pgfsysprotocol.code.t
ex"
File: pgfsysprotocol.code.tex 2006/10/16  (rcs-revision 1.4)
)) ("C:\Program Files\MiKTeX 2.9\tex\latex\xcolor\xcolor.sty"
Package: xcolor 2016/05/11 v2.12 LaTeX color extensions (UK)

("C:\Program Files\MiKTeX 2.9\tex\latex\graphics-cfg\color.cfg"
File: color.cfg 2016/01/02 v1.6 sample color configuration
)
Package xcolor Info: Driver file: pdftex.def on input line 225.
LaTeX Info: Redefining \color on input line 709.
Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1348.
Package xcolor Info: Model `hsb' substituted by `rgb' on input line 1352.
Package xcolor Info: Model `RGB' extended on input line 1364.
Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1366.
Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1367.
Package xcolor Info: Model `tHsb' substituted by `hsb' on input line 1368.
Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1369.
Package xcolor Info: Model `Gray' substituted by `gray' on input line 1370.
Package xcolor Info: Model `wave' substituted by `hsb' on input line 1371.
)
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\basiclayer\pgfcore.code.tex"
Package: pgfcore 2010/04/11 v3.0.1a (rcs-revision 1.7)

("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\math\pgfmath.code.tex"
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\math\pgfmathcalc.code.tex"
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\math\pgfmathutil.code.tex")
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\math\pgfmathparser.code.tex"
\pgfmath@dimen=\dimen179
\pgfmath@count=\count149
\pgfmath@box=\box44
\pgfmath@toks=\toks57
\pgfmath@stack@operand=\toks58
\pgfmath@stack@operation=\toks59
)
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\math\pgfmathfunctions.code.tex"
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\math\pgfmathfunctions.basic.code.
tex")
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\math\pgfmathfunctions.trigonometr
ic.code.tex")
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\math\pgfmathfunctions.random.code
.tex")
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\math\pgfmathfunctions.comparison.
code.tex")
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\math\pgfmathfunctions.base.code.t
ex")
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\math\pgfmathfunctions.round.code.
tex")
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\math\pgfmathfunctions.misc.code.t
ex")
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\math\pgfmathfunctions.integerarit
hmetics.code.tex")))
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\math\pgfmathfloat.code.tex"
\c@pgfmathroundto@lastzeros=\count150
))
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\basiclayer\pgfcorepoints.code.tex
"
File: pgfcorepoints.code.tex 2013/10/07  (rcs-revision 1.27)
\pgf@picminx=\dimen180
\pgf@picmaxx=\dimen181
\pgf@picminy=\dimen182
\pgf@picmaxy=\dimen183
\pgf@pathminx=\dimen184
\pgf@pathmaxx=\dimen185
\pgf@pathminy=\dimen186
\pgf@pathmaxy=\dimen187
\pgf@xx=\dimen188
\pgf@xy=\dimen189
\pgf@yx=\dimen190
\pgf@yy=\dimen191
\pgf@zx=\dimen192
\pgf@zy=\dimen193
)
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\basiclayer\pgfcorepathconstruct.c
ode.tex"
File: pgfcorepathconstruct.code.tex 2013/10/07  (rcs-revision 1.29)
\pgf@path@lastx=\dimen194
\pgf@path@lasty=\dimen195
)
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\basiclayer\pgfcorepathusage.code.
tex"
File: pgfcorepathusage.code.tex 2014/11/02  (rcs-revision 1.24)
\pgf@shorten@end@additional=\dimen196
\pgf@shorten@start@additional=\dimen197
)
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\basiclayer\pgfcorescopes.code.tex
"
File: pgfcorescopes.code.tex 2015/05/08  (rcs-revision 1.46)
\pgfpic=\box45
\pgf@hbox=\box46
\pgf@layerbox@main=\box47
\pgf@picture@serial@count=\count151
)
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\basiclayer\pgfcoregraphicstate.co
de.tex"
File: pgfcoregraphicstate.code.tex 2014/11/02  (rcs-revision 1.12)
\pgflinewidth=\dimen198
)
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\basiclayer\pgfcoretransformations
.code.tex"
File: pgfcoretransformations.code.tex 2015/08/07  (rcs-revision 1.20)
\pgf@pt@x=\dimen199
\pgf@pt@y=\dimen256
\pgf@pt@temp=\dimen257
)
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\basiclayer\pgfcorequick.code.tex"
File: pgfcorequick.code.tex 2008/10/09  (rcs-revision 1.3)
)
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\basiclayer\pgfcoreobjects.code.te
x"
File: pgfcoreobjects.code.tex 2006/10/11  (rcs-revision 1.2)
)
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\basiclayer\pgfcorepathprocessing.
code.tex"
File: pgfcorepathprocessing.code.tex 2013/09/09  (rcs-revision 1.9)
)
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\basiclayer\pgfcorearrows.code.tex
"
File: pgfcorearrows.code.tex 2015/05/14  (rcs-revision 1.43)
\pgfarrowsep=\dimen258
)
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\basiclayer\pgfcoreshade.code.tex"
File: pgfcoreshade.code.tex 2013/07/15  (rcs-revision 1.15)
\pgf@max=\dimen259
\pgf@sys@shading@range@num=\count152
) ("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\basiclayer\pgfcoreimage.code.te
x"
File: pgfcoreimage.code.tex 2013/07/15  (rcs-revision 1.18)

("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\basiclayer\pgfcoreexternal.code.t
ex"
File: pgfcoreexternal.code.tex 2014/07/09  (rcs-revision 1.21)
\pgfexternal@startupbox=\box48
))
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\basiclayer\pgfcorelayers.code.tex
"
File: pgfcorelayers.code.tex 2013/07/18  (rcs-revision 1.7)
)
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\basiclayer\pgfcoretransparency.co
de.tex"
File: pgfcoretransparency.code.tex 2013/09/30  (rcs-revision 1.5)
)
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\basiclayer\pgfcorepatterns.code.t
ex"
File: pgfcorepatterns.code.tex 2013/11/07  (rcs-revision 1.5)
)))
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\modules\pgfmoduleshapes.code.tex"
File: pgfmoduleshapes.code.tex 2014/03/21  (rcs-revision 1.35)
\pgfnodeparttextbox=\box49
) ("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\modules\pgfmoduleplot.code.tex"
File: pgfmoduleplot.code.tex 2015/08/03  (rcs-revision 1.13)
)
("C:\Program Files\MiKTeX 2.9\tex\latex\pgf\compatibility\pgfcomp-version-0-65.
sty"
Package: pgfcomp-version-0-65 2007/07/03 v3.0.1a (rcs-revision 1.7)
\pgf@nodesepstart=\dimen260
\pgf@nodesepend=\dimen261
)
("C:\Program Files\MiKTeX 2.9\tex\latex\pgf\compatibility\pgfcomp-version-1-18.
sty"
Package: pgfcomp-version-1-18 2007/07/23 v3.0.1a (rcs-revision 1.1)
)) ("C:\Program Files\MiKTeX 2.9\tex\latex\pgf\utilities\pgffor.sty"
("C:\Program Files\MiKTeX 2.9\tex\latex\pgf\utilities\pgfkeys.sty"
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\utilities\pgfkeys.code.tex"))
("C:\Program Files\MiKTeX 2.9\tex\latex\pgf\math\pgfmath.sty"
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\math\pgfmath.code.tex"))
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\utilities\pgffor.code.tex"
Package: pgffor 2013/12/13 v3.0.1a (rcs-revision 1.25)

("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\math\pgfmath.code.tex")
\pgffor@iter=\dimen262
\pgffor@skip=\dimen263
\pgffor@stack=\toks60
\pgffor@toks=\toks61
))
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\frontendlayer\tikz\tikz.code.tex"
Package: tikz 2015/08/07 v3.0.1a (rcs-revision 1.151)

("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\libraries\pgflibraryplothandlers.
code.tex"
File: pgflibraryplothandlers.code.tex 2013/08/31 v3.0.1a (rcs-revision 1.20)
\pgf@plot@mark@count=\count153
\pgfplotmarksize=\dimen264
)
\tikz@lastx=\dimen265
\tikz@lasty=\dimen266
\tikz@lastxsaved=\dimen267
\tikz@lastysaved=\dimen268
\tikzleveldistance=\dimen269
\tikzsiblingdistance=\dimen270
\tikz@figbox=\box50
\tikz@figbox@bg=\box51
\tikz@tempbox=\box52
\tikz@tempbox@bg=\box53
\tikztreelevel=\count154
\tikznumberofchildren=\count155
\tikznumberofcurrentchild=\count156
\tikz@fig@count=\count157

("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\modules\pgfmodulematrix.code.tex"
File: pgfmodulematrix.code.tex 2013/09/17  (rcs-revision 1.8)
\pgfmatrixcurrentrow=\count158
\pgfmatrixcurrentcolumn=\count159
\pgf@matrix@numberofcolumns=\count160
)
\tikz@expandcount=\count161

("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\frontendlayer\tikz\libraries\tikz
librarytopaths.code.tex"
File: tikzlibrarytopaths.code.tex 2008/06/17 v3.0.1a (rcs-revision 1.2)
)))
("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\frontendlayer\tikz\libraries\tikz
libraryarrows.code.tex"
File: tikzlibraryarrows.code.tex 2008/01/09 v3.0.1a (rcs-revision 1.1)

("C:\Program Files\MiKTeX 2.9\tex\generic\pgf\libraries\pgflibraryarrows.code.t
ex"
File: pgflibraryarrows.code.tex 2013/09/23 v3.0.1a (rcs-revision 1.16)
\arrowsize=\dimen271
))

Package amsthm Warning: Unknown theoremstyle `theorem' on input line 28.

\c@theorem=\count162
\c@convention=\count163
\c@mycounter=\count164
\c@casecounter=\count165
\c@subcasecounter=\count166
\c@subsubcasecounter=\count167
No file SethMastersThesis.aux.
\openout1 = `SethMastersThesis.aux'.

LaTeX Font Info:    Checking defaults for OML/cmm/m/it on input line 174.
LaTeX Font Info:    ... okay on input line 174.
LaTeX Font Info:    Checking defaults for T1/cmr/m/n on input line 174.
LaTeX Font Info:    ... okay on input line 174.
LaTeX Font Info:    Checking defaults for OT1/cmr/m/n on input line 174.
LaTeX Font Info:    ... okay on input line 174.
LaTeX Font Info:    Checking defaults for OMS/cmsy/m/n on input line 174.
LaTeX Font Info:    ... okay on input line 174.
LaTeX Font Info:    Checking defaults for OMX/cmex/m/n on input line 174.
LaTeX Font Info:    ... okay on input line 174.
LaTeX Font Info:    Checking defaults for U/cmr/m/n on input line 174.
LaTeX Font Info:    ... okay on input line 174.
LaTeX Font Info:    Checking defaults for PD1/pdf/m/n on input line 174.
LaTeX Font Info:    ... okay on input line 174.
LaTeX Font Info:    Checking defaults for PU/pdf/m/n on input line 174.
LaTeX Font Info:    ... okay on input line 174.
\AtBeginShipoutBox=\box54
Package hyperref Info: Link coloring OFF on input line 174.
("C:\Program Files\MiKTeX 2.9\tex\latex\hyperref\nameref.sty"
Package: nameref 2016/05/21 v2.44 Cross-referencing by name of section

("C:\Program Files\MiKTeX 2.9\tex\generic\oberdiek\gettitlestring.sty"
Package: gettitlestring 2016/05/16 v1.5 Cleanup title references (HO)
)
\c@section@level=\count168
)
LaTeX Info: Redefining \ref on input line 174.
LaTeX Info: Redefining \pageref on input line 174.
LaTeX Info: Redefining \nameref on input line 174.
\@outlinefile=\write6
\openout6 = `SethMastersThesis.out'.

Package lastpage Info: Please have a look at the pageslts package at
(lastpage)             https://www.ctan.org/pkg/pageslts
(lastpage)             ! on input line 174.

("C:\Program Files\MiKTeX 2.9\tex\context\base\supp-pdf.mkii"
[Loading MPS to PDF converter (version 2006.09.02).]
\scratchcounter=\count169
\scratchdimen=\dimen272
\scratchbox=\box55
\nofMPsegments=\count170
\nofMParguments=\count171
\everyMPshowfont=\toks62
\MPscratchCnt=\count172
\MPscratchDim=\dimen273
\MPnumerator=\count173
\makeMPintoPDFobject=\count174
\everyMPtoPDFconversion=\toks63
) ("C:\Program Files\MiKTeX 2.9\tex\latex\oberdiek\epstopdf-base.sty"
Package: epstopdf-base 2016/05/15 v2.6 Base part for package epstopdf

("C:\Program Files\MiKTeX 2.9\tex\latex\oberdiek\grfext.sty"
Package: grfext 2016/05/16 v1.2 Manage graphics extensions (HO)
)
Package epstopdf-base Info: Redefining graphics rule for `.eps' on input line 4
38.
Package grfext Info: Graphics extension search list:
(grfext)             [.png,.pdf,.jpg,.mps,.jpeg,.jbig2,.jb2,.PNG,.PDF,.JPG,.JPE
G,.JBIG2,.JB2,.eps]
(grfext)             \AppendGraphicsExtensions on input line 456.
)
\c@lstlisting=\count175
LaTeX Font Info:    Try loading font information for U+msa on input line 174.

("C:\Program Files\MiKTeX 2.9\tex\latex\amsfonts\umsa.fd"
File: umsa.fd 2013/01/14 v3.01 AMS symbols A
)
LaTeX Font Info:    Try loading font information for U+msb on input line 174.

("C:\Program Files\MiKTeX 2.9\tex\latex\amsfonts\umsb.fd"
File: umsb.fd 2013/01/14 v3.01 AMS symbols B
)
Package xypdf Info: Line width: 0.47998pt on input line 174.

ABD: EveryShipout initializing macros
Unavoidable over/underfulls may occur in the first
few pages of dalcsthesis. These can usually be ignored.
However, if uncorrectable errors occur, notify staff.
LaTeX Info: Redefining \\ on input line 183.
LaTeX Font Info:    Try loading font information for OMS+cmr on input line 183.

("C:\Program Files\MiKTeX 2.9\tex\latex\base\omscmr.fd"
File: omscmr.fd 2014/09/29 v2.5h Standard LaTeX font definitions
)
LaTeX Font Info:    Font shape `OMS/cmr/m/n' in size <12> not available
(Font)              Font shape `OMS/cmsy/m/n' tried instead on input line 183.
 [1

] [2

]
\tf@toc=\write7
\openout7 = `SethMastersThesis.toc'.

 [3


]
\tf@lot=\write8
\openout8 = `SethMastersThesis.lot'.

 [4


]
\tf@lof=\write9
\openout9 = `SethMastersThesis.lof'.


[5


]
\ab@page=\count176
 [6


] [7

]
Dalthesis preface pages completed.
Chapter 1.

Underfull \vbox (badness 10000) has occurred while \output is active []

 [1

]

LaTeX Warning: Citation `Nielsen-Chuang' on page 2 undefined on input line 211.



LaTeX Warning: Citation `MATS-AMAN' on page 2 undefined on input line 213.


LaTeX Warning: Citation `Kliuchnikov-etal' on page 2 undefined on input line 21
5.


LaTeX Warning: Citation `GILES-SEL' on page 2 undefined on input line 215.


Underfull \vbox (badness 10000) has occurred while \output is active []

 [2]

LaTeX Warning: Citation `MATS-AMAN' on page 3 undefined on input line 219.


LaTeX Warning: Reference `page-intro' on page 3 undefined on input line 231.

[3]
Chapter 2.

LaTeX Warning: Citation `Washington' on page 4 undefined on input line 257.


LaTeX Warning: Reference `page-intro' on page 4 undefined on input line 266.


LaTeX Font Warning: Command \scriptsize invalid in math mode on input line 289.



LaTeX Font Warning: Command \scriptsize invalid in math mode on input line 289.



LaTeX Font Warning: Command \scriptsize invalid in math mode on input line 289.



LaTeX Font Warning: Command \scriptsize invalid in math mode on input line 289.



LaTeX Font Warning: Command \scriptsize invalid in math mode on input line 289.



LaTeX Font Warning: Command \scriptsize invalid in math mode on input line 289.



LaTeX Font Warning: Command \scriptsize invalid in math mode on input line 289.



LaTeX Font Warning: Command \scriptsize invalid in math mode on input line 289.



LaTeX Font Warning: Command \scriptsize invalid in math mode on input line 289.



LaTeX Font Warning: Command \scriptsize invalid in math mode on input line 289.


[4

]

LaTeX Font Warning: Command \scriptsize invalid in math mode on input line 304.



LaTeX Font Warning: Command \scriptsize invalid in math mode on input line 304.



LaTeX Font Warning: Command \scriptsize invalid in math mode on input line 304.



LaTeX Font Warning: Command \scriptsize invalid in math mode on input line 304.



LaTeX Font Warning: Command \scriptsize invalid in math mode on input line 304.



LaTeX Font Warning: Command \scriptsize invalid in math mode on input line 304.


[5]

LaTeX Warning: Citation `GILES-SEL' on page 6 undefined on input line 326.


LaTeX Warning: Reference `GSDecompThm' on page 6 undefined on input line 335.


LaTeX Warning: Citation `GILES-SEL' on page 6 undefined on input line 335.


LaTeX Warning: Reference `GSDecompThm' on page 6 undefined on input line 335.


LaTeX Warning: Reference `AlgTermThm' on page 6 undefined on input line 336.

[6] [7]

LaTeX Warning: Reference `OmegaModLemma' on page 8 undefined on input line 418.



LaTeX Warning: Reference `OmegaModLemma' on page 8 undefined on input line 419.


[8]

LaTeX Warning: Reference `RowReductLemma' on page 9 undefined on input line 454
.


Underfull \vbox (badness 7540) has occurred while \output is active []

 [9]

LaTeX Warning: Reference `ColStepLemma' on page 10 undefined on input line 499.


[10]

LaTeX Warning: Reference `SingleEntryLemma' on page 11 undefined on input line 
500.


LaTeX Warning: Reference `SingleEntryLemma' on page 11 undefined on input line 
526.


LaTeX Warning: Reference `OmegaModLemma' on page 11 undefined on input line 532
.

[11]

LaTeX Warning: Reference `GSAlg' on page 12 undefined on input line 540.


LaTeX Warning: Reference `GSAlg' on page 12 undefined on input line 545.


LaTeX Warning: Reference `AlgTermThm' on page 12 undefined on input line 563.


LaTeX Warning: Reference `ColStepLemma' on page 12 undefined on input line 564.



LaTeX Warning: Reference `ColumnLemma' on page 12 undefined on input line 564.

[12]
Chapter 3.

LaTeX Warning: Reference `StarDef' on page 13 undefined on input line 571.


LaTeX Warning: Reference `tab-equations' on page 13 undefined on input line 587
.


LaTeX Warning: Reference `tab-equations' on page 13 undefined on input line 592
.


LaTeX Font Warning: Command \scriptsize invalid in math mode on input line 639.



LaTeX Font Warning: Command \scriptsize invalid in math mode on input line 639.


[13

] [14pdfTeX warning (ext4): destination with the same identifier (name{table.3.
1}) has been already used, duplicate ignored

\AtBegShi@Output ...ipout \box \AtBeginShipoutBox 
                                                  \fi \fi 
l.648 \end{theorem}
                   ]

LaTeX Warning: Reference `MainThm' on page 15 undefined on input line 651.


LaTeX Warning: Reference `tab-equations' on page 15 undefined on input line 658
.


LaTeX Warning: Reference `MainThm' on page 15 undefined on input line 663.


LaTeX Warning: Reference `TechLemma' on page 15 undefined on input line 665.


LaTeX Warning: Reference `tab-equations' on page 15 undefined on input line 669
.


LaTeX Warning: Reference `tab-equations2' on page 15 undefined on input line 69
5.


LaTeX Warning: Reference `tab-equations' on page 15 undefined on input line 696
.


LaTeX Warning: Reference `ax-p' on page 15 undefined on input line 700.


LaTeX Warning: Reference `ax-m' on page 15 undefined on input line 700.


LaTeX Warning: Reference `ax-l' on page 15 undefined on input line 701.


LaTeX Warning: Reference `ax-o'' on page 15 undefined on input line 701.


LaTeX Warning: Reference `ax-h' on page 15 undefined on input line 701.


LaTeX Warning: Reference `ax-a' on page 15 undefined on input line 702.


LaTeX Warning: Reference `ax-i' on page 15 undefined on input line 702.


LaTeX Warning: Reference `ax-f' on page 15 undefined on input line 703.


LaTeX Warning: Reference `ax-a' on page 15 undefined on input line 705.


LaTeX Warning: Reference `ax-f'' on page 15 undefined on input line 707.


LaTeX Warning: Reference `ax-q' on page 15 undefined on input line 711.


LaTeX Warning: Reference `ax-i' on page 15 undefined on input line 714.


LaTeX Warning: Reference `ax-j' on page 15 undefined on input line 716.


LaTeX Warning: Reference `ax-p' on page 15 undefined on input line 718.


LaTeX Warning: Reference `ax-o' on page 15 undefined on input line 720.


LaTeX Warning: Reference `ax-j' on page 15 undefined on input line 722.


LaTeX Warning: Reference `ax-m' on page 15 undefined on input line 724.


Overfull \hbox (10.75008pt too wide) detected at line 727
[]
 []

[15]

LaTeX Warning: Reference `ax-r' on page 16 undefined on input line 729.


LaTeX Warning: Reference `ax-z4' on page 16 undefined on input line 731.


LaTeX Warning: Reference `ax-f'' on page 16 undefined on input line 731.


LaTeX Warning: Reference `ax-w' on page 16 undefined on input line 731.


LaTeX Warning: Reference `ax-m' on page 16 undefined on input line 731.


LaTeX Warning: Reference `ax-c' on page 16 undefined on input line 732.


LaTeX Warning: Reference `ax-d' on page 16 undefined on input line 732.


Overfull \hbox (28.40552pt too wide) detected at line 734
[]
 []


LaTeX Warning: Reference `ax-x' on page 16 undefined on input line 736.


LaTeX Warning: Reference `ax-c' on page 16 undefined on input line 736.


LaTeX Warning: Reference `ax-h' on page 16 undefined on input line 736.


LaTeX Warning: Reference `ax-a' on page 16 undefined on input line 736.


LaTeX Warning: Reference `ax-f'' on page 16 undefined on input line 736.


LaTeX Warning: Reference `ax-z_1' on page 16 undefined on input line 738.


LaTeX Warning: Reference `ax-h' on page 16 undefined on input line 742.


LaTeX Warning: Reference `ax-c' on page 16 undefined on input line 742.


LaTeX Warning: Reference `ax-i' on page 16 undefined on input line 744.


LaTeX Warning: Reference `ax-m' on page 16 undefined on input line 747.


LaTeX Warning: Reference `ax-a' on page 16 undefined on input line 749.


LaTeX Warning: Reference `ax-e'' on page 16 undefined on input line 750.


LaTeX Warning: Reference `ax-f'' on page 16 undefined on input line 750.


LaTeX Warning: Reference `ax-a' on page 16 undefined on input line 750.


Underfull \vbox (badness 10000) has occurred while \output is active []

 [16pdfTeX warning (ext4): destination with the same identifier (name{table.3.2
}) has been already used, duplicate ignored

\AtBegShi@Output ...ipout \box \AtBeginShipoutBox 
                                                  \fi \fi 
l.755 \]
        ]

LaTeX Warning: Reference `ax-z_2' on page 17 undefined on input line 757.


LaTeX Warning: Reference `ax-c' on page 17 undefined on input line 760.


LaTeX Warning: Reference `ax-h' on page 17 undefined on input line 760.


LaTeX Warning: Reference `ax-i' on page 17 undefined on input line 760.


LaTeX Warning: Reference `ax-m' on page 17 undefined on input line 760.


LaTeX Warning: Reference `ax-a' on page 17 undefined on input line 761.


LaTeX Warning: Reference `ax-e'' on page 17 undefined on input line 761.


LaTeX Warning: Reference `ax-f'' on page 17 undefined on input line 761.


LaTeX Warning: Reference `ax-a' on page 17 undefined on input line 761.


LaTeX Warning: Reference `ax-z_3' on page 17 undefined on input line 765.


LaTeX Warning: Reference `ax-c' on page 17 undefined on input line 768.


LaTeX Warning: Reference `ax-h' on page 17 undefined on input line 768.


LaTeX Warning: Reference `ax-i' on page 17 undefined on input line 768.


LaTeX Warning: Reference `ax-m' on page 17 undefined on input line 768.


LaTeX Warning: Reference `ax-a' on page 17 undefined on input line 768.


LaTeX Warning: Reference `ax-e'' on page 17 undefined on input line 768.


LaTeX Warning: Reference `ax-f'' on page 17 undefined on input line 768.


LaTeX Warning: Reference `ax-a' on page 17 undefined on input line 768.


LaTeX Warning: Reference `ax-s' on page 17 undefined on input line 772.


LaTeX Warning: Reference `ax-o'' on page 17 undefined on input line 776.


LaTeX Warning: Reference `ax-p' on page 17 undefined on input line 776.


LaTeX Warning: Reference `ax-u' on page 17 undefined on input line 778.


LaTeX Warning: Reference `ax-z5' on page 17 undefined on input line 780.


LaTeX Warning: Reference `ax-o' on page 17 undefined on input line 782.


LaTeX Warning: Reference `ax-l' on page 17 undefined on input line 782.


LaTeX Warning: Reference `ax-u' on page 17 undefined on input line 783.


LaTeX Warning: Reference `ax-t' on page 17 undefined on input line 788.


LaTeX Warning: Reference `ax-i' on page 17 undefined on input line 792.


LaTeX Warning: Reference `ax-h' on page 17 undefined on input line 794.


LaTeX Warning: Reference `ax-b' on page 17 undefined on input line 796.


LaTeX Warning: Reference `ax-e' on page 17 undefined on input line 796.


LaTeX Warning: Reference `ax-m' on page 17 undefined on input line 798.


LaTeX Warning: Reference `ax-s' on page 17 undefined on input line 800.


LaTeX Warning: Reference `ax-u' on page 17 undefined on input line 802.


LaTeX Warning: Reference `ax-o' on page 17 undefined on input line 804.


LaTeX Warning: Reference `ax-o'' on page 17 undefined on input line 804.


LaTeX Warning: Reference `ax-k' on page 17 undefined on input line 804.


LaTeX Warning: Reference `ax-i' on page 17 undefined on input line 806.


Underfull \vbox (badness 10000) has occurred while \output is active []

 [17]

LaTeX Warning: Reference `StarDef' on page 18 undefined on input line 822.


LaTeX Warning: Reference `SyllableDef' on page 18 undefined on input line 824.


LaTeX Warning: Reference `GSAlg' on page 18 undefined on input line 824.


LaTeX Warning: Reference `AlgTermThm' on page 18 undefined on input line 832.

[18]

LaTeX Warning: Reference `BasicGenLemma' on page 19 undefined on input line 864
.

[19] [20] <xymatrix 2x2 182>

LaTeX Warning: Reference `TechLemma' on page 21 undefined on input line 915.


LaTeX Warning: Reference `BasicGenLemma' on page 21 undefined on input line 915
.


LaTeX Warning: Reference `NormalCommuteFigure' on page 21 undefined on input li
ne 926.


LaTeX Warning: Reference `TechLemma' on page 21 undefined on input line 926.

<xymatrix 2x2 182>

LaTeX Warning: Reference `BasicGenLemma' on page 21 undefined on input line 933
.

[21]

LaTeX Warning: Reference `TechLemma' on page 22 undefined on input line 975.


LaTeX Warning: Reference `NormalCommuteLemma' on page 22 undefined on input lin
e 985.


LaTeX Warning: Reference `NormalCommuteLemma' on page 22 undefined on input lin
e 989.


LaTeX Warning: Reference `BasicNormalEquivFigure' on page 22 undefined on input
 line 995.


LaTeX Warning: Reference `NormalCommuteLemma' on page 22 undefined on input lin
e 995.


LaTeX Warning: Reference `NormalCommuteLemma' on page 22 undefined on input lin
e 1034.


LaTeX Warning: Reference `NormalCommuteLemma' on page 22 undefined on input lin
e 1035.


LaTeX Warning: Reference `NormalCommuteLemma' on page 22 undefined on input lin
e 1036.


LaTeX Warning: Reference `NormalCommuteLemma' on page 22 undefined on input lin
e 1037.


LaTeX Warning: Reference `BasicNormalEquivThm' on page 22 undefined on input li
ne 1044.


LaTeX Warning: Reference `BasicGenLemma' on page 22 undefined on input line 105
6.


LaTeX Warning: Reference `Equiv1Equiv2Lemma1' on page 22 undefined on input lin
e 1056.


LaTeX Warning: Reference `BasicNormalEquivThm' on page 22 undefined on input li
ne 1056.

[22pdfTeX warning (ext4): destination with the same identifier (name{figure.3.1
}) has been already used, duplicate ignored

\AtBegShi@Output ...ipout \box \AtBeginShipoutBox 
                                                  \fi \fi 
l.1057 \end{proof}
                  ]

LaTeX Warning: Reference `tab-equations' on page 23 undefined on input line 105
9.


LaTeX Warning: Reference `TechLemma' on page 23 undefined on input line 1063.


LaTeX Warning: Reference `bad-case' on page 23 undefined on input line 1063.

[23pdfTeX warning (ext4): destination with the same identifier (name{figure.3.2
}) has been already used, duplicate ignored

\AtBegShi@Output ...ipout \box \AtBeginShipoutBox 
                                                  \fi \fi 
l.1079 \]
         ]

LaTeX Warning: Reference `AddCongLemma' on page 24 undefined on input line 1089
.


LaTeX Warning: Reference `ModDeltaSqLemma' on page 24 undefined on input line 1
100.


LaTeX Warning: Citation `ROSS-SEL' on page 24 undefined on input line 1117.

[24]

LaTeX Warning: Reference `SingleEntryLemma' on page 25 undefined on input line 
1136.


LaTeX Warning: Reference `HandWaveLemma' on page 25 undefined on input line 113
8.


LaTeX Warning: Reference `RootTwoModTwoLemma' on page 25 undefined on input lin
e 1140.


LaTeX Warning: Reference `TechLemma' on page 25 undefined on input line 1148.

<xymatrix 2x2 182>

LaTeX Warning: Reference `bad-case' on page 25 undefined on input line 1162.

[25] <xymatrix 2x3 231> [26] <xymatrix 2x2 182> [27]

LaTeX Warning: Reference `subcase-1.2' on page 28 undefined on input line 1278.



Underfull \vbox (badness 10000) has occurred while \output is active []

 [28]

LaTeX Warning: Reference `ax-r' on page 29 undefined on input line 1331.


LaTeX Warning: Reference `tab-equations2' on page 29 undefined on input line 13
31.

<xymatrix 3x2 190>
Underfull \vbox (badness 10000) has occurred while \output is active []

 [29]

LaTeX Warning: Reference `ax-g' on page 30 undefined on input line 1358.


LaTeX Warning: Reference `tab-equations' on page 30 undefined on input line 135
8.


Underfull \vbox (badness 10000) has occurred while \output is active []

 [30]
<xymatrix 2x2 182>
Underfull \vbox (badness 10000) has occurred while \output is active []

 [31]

LaTeX Warning: Reference `ax-b' on page 32 undefined on input line 1404.


LaTeX Warning: Reference `ax-k' on page 32 undefined on input line 1404.


LaTeX Warning: Reference `tab-equations' on page 32 undefined on input line 140
4.


Overfull \hbox (12.47304pt too wide) in paragraph at lines 1430--1432
\OT1/cmr/m/n/12 Thus the mod-i-fied Giles-Selinger al-go-rithm pre-scribes the 
syl-la-ble $\OML/cmm/m/it/12 r []
 []

[32]
Overfull \hbox (3.33424pt too wide) in paragraph at lines 1459--1461
\OT1/cmr/m/n/12 Thus the mod-i-fied Giles-Selinger al-go-rithm spec-i-fies the 
syl-la-ble $\OML/cmm/m/it/12 r []
 []


Underfull \vbox (badness 10000) has occurred while \output is active []

 [33]
Overfull \hbox (3.33424pt too wide) in paragraph at lines 1482--1484
\OT1/cmr/m/n/12 Thus the mod-i-fied Giles-Selinger al-go-rithm spec-i-fies the 
syl-la-ble $\OML/cmm/m/it/12 r []
 []


LaTeX Warning: Reference `subcase-1.7' on page 34 undefined on input line 1493.



LaTeX Warning: Reference `ax-b' on page 34 undefined on input line 1505.


LaTeX Warning: Reference `ax-n' on page 34 undefined on input line 1505.


LaTeX Warning: Reference `tab-equations' on page 34 undefined on input line 150
5.

[34] <xymatrix 2x2 182>

LaTeX Warning: Reference `case-1' on page 35 undefined on input line 1512.


Overfull \hbox (13.67519pt too wide) in paragraph at lines 1529--1531
\OT1/cmr/m/n/12 The mod-i-fied Giles-Selinger al-go-rithm gives re-duc-tion ste
p $\OML/cmm/m/it/12 N[] \OT1/cmr/m/n/12 = \OML/cmm/m/it/12 r []
 []

[35] <xymatrix 2x2 182>

LaTeX Warning: Reference `ax-m' on page 36 undefined on input line 1542.


LaTeX Warning: Reference `tab-equations2' on page 36 undefined on input line 15
42.

<xymatrix 2x2 182>

LaTeX Warning: Reference `ax-w' on page 36 undefined on input line 1564.


LaTeX Warning: Reference `ax-b' on page 36 undefined on input line 1564.


LaTeX Warning: Reference `tab-equations' on page 36 undefined on input line 156
4.

<xymatrix 2x2 182>
Underfull \vbox (badness 10000) has occurred while \output is active []

 [36]
Overfull \hbox (6.8572pt too wide) in paragraph at lines 1588--1589
\OT1/cmr/m/n/12 Thus the mod-i-fied Giles-Selinger al-go-rithm pre-scribes re-d
uc-tion step $\OML/cmm/m/it/12 r []
 []

<xymatrix 2x2 182>
Underfull \vbox (badness 10000) has occurred while \output is active []

 [37]
<xymatrix 2x2 182>

LaTeX Warning: Reference `ax-w' on page 38 undefined on input line 1614.


LaTeX Warning: Reference `ax-c' on page 38 undefined on input line 1614.


LaTeX Warning: Reference `tab-equations' on page 38 undefined on input line 161
4.


LaTeX Warning: Reference `case-2' on page 38 undefined on input line 1614.


Underfull \vbox (badness 8075) has occurred while \output is active []

 [38]
Overfull \hbox (14.45724pt too wide) in paragraph at lines 1637--1637
\OT1/cmr/m/n/12 The mod-i-fied Giles-Selinger al-go-rithm spec-i-fies syl-la-bl
es $\OML/cmm/m/it/12 N \OT1/cmr/m/n/12 = \OML/cmm/m/it/12 H[]![]$
 []

<xymatrix 2x2 182> <xymatrix 3x2 190> <xymatrix 3x2 190>
Overfull \hbox (6.95811pt too wide) detected at line 1655
[][][]
 []

<xymatrix 3x2 190>

LaTeX Warning: Reference `ax-h' on page 39 undefined on input line 1664.


LaTeX Warning: Reference `ax-z_1' on page 39 undefined on input line 1664.


LaTeX Warning: Reference `ax-z_3' on page 39 undefined on input line 1664.


LaTeX Warning: Reference `tab-equations' on page 39 undefined on input line 166
4.


LaTeX Warning: Reference `tab-equations2' on page 39 undefined on input line 16
64.


Overfull \hbox (9.93823pt too wide) in paragraph at lines 1675--1676
\OT1/cmr/m/n/12 The mod-i-fied Giles-Selinger al-go-rithm pre-scribes the syl-l
a-ble $[] = \OML/cmm/m/it/12 H[]![];$
 []


Underfull \vbox (badness 10000) has occurred while \output is active []

 [39]

LaTeX Warning: Reference `ax-l' on page 40 undefined on input line 1687.


LaTeX Warning: Reference `ax-d' on page 40 undefined on input line 1687.


LaTeX Warning: Reference `tab-equations' on page 40 undefined on input line 168
7.

<xymatrix 2x2 182>

LaTeX Warning: Reference `subcase-3.2' on page 40 undefined on input line 1708.



Underfull \vbox (badness 10000) has occurred while \output is active []

 [40]

LaTeX Warning: Reference `ax-e' on page 41 undefined on input line 1725.


LaTeX Warning: Reference `ax-n' on page 41 undefined on input line 1725.


LaTeX Warning: Reference `tab-equations' on page 41 undefined on input line 172
5.

<xymatrix 2x2 182>
Underfull \vbox (badness 10000) has occurred while \output is active []

 [41]
<xymatrix 2x2 182>

LaTeX Warning: Reference `ax-j' on page 42 undefined on input line 1765.


LaTeX Warning: Reference `tab-equations' on page 42 undefined on input line 176
5.


Underfull \vbox (badness 10000) has occurred while \output is active []

 [42]

LaTeX Warning: Reference `sscase-3.5.2' on page 43 undefined on input line 1778
.

<xymatrix 2x2 182>

LaTeX Warning: Reference `case-3' on page 43 undefined on input line 1799.

[43]
Underfull \vbox (badness 10000) has occurred while \output is active []

 [44]

LaTeX Warning: Reference `ax-o'' on page 45 undefined on input line 1847.


LaTeX Warning: Reference `ax-e' on page 45 undefined on input line 1847.


LaTeX Warning: Reference `tab-equations' on page 45 undefined on input line 184
7.


Overfull \hbox (11.66891pt too wide) in paragraph at lines 1846--1847
\OT1/cmr/m/n/12 and so the mod-i-fied Giles-Selinger al-go-rithm pre-scribes th
e syl-la-ble $\OML/cmm/m/it/12 H[]![]:$
 []

<xymatrix 2x2 182>

LaTeX Warning: Reference `subcase-3.2' on page 45 undefined on input line 1856.



LaTeX Warning: Reference `case-3' on page 45 undefined on input line 1856.


Underfull \vbox (badness 10000) has occurred while \output is active []

 [45]

LaTeX Warning: Reference `bad-case' on page 46 undefined on input line 1876.

<xymatrix 2x3 272>
Underfull \vbox (badness 10000) has occurred while \output is active []

 [46]
Underfull \vbox (badness 10000) has occurred while \output is active []

 [47]
<xymatrix 2x4 362>

LaTeX Warning: Reference `ax-s' on page 48 undefined on input line 1958.


LaTeX Warning: Reference `tab-equations2' on page 48 undefined on input line 19
58.


Underfull \vbox (badness 10000) has occurred while \output is active []

 [48]
<xymatrix 2x4 362>

LaTeX Warning: Reference `ax-t' on page 49 undefined on input line 1988.


LaTeX Warning: Reference `tab-equations2' on page 49 undefined on input line 19
88.


Underfull \vbox (badness 10000) has occurred while \output is active []

 [49]

LaTeX Warning: Reference `NotExist4DimLemma' on page 50 undefined on input line
 2010.


LaTeX Warning: Reference `bad-case' on page 50 undefined on input line 2010.


LaTeX Warning: Reference `subcase-4.3' on page 50 undefined on input line 2022.



LaTeX Warning: Reference `ax-w' on page 50 undefined on input line 2031.


LaTeX Warning: Reference `ax-b' on page 50 undefined on input line 2031.


LaTeX Warning: Reference `ax-f'' on page 50 undefined on input line 2031.


LaTeX Warning: Reference `tab-equations' on page 50 undefined on input line 203
1.


Underfull \vbox (badness 10000) has occurred while \output is active []

 [50]

LaTeX Warning: Reference `subcase-4.3' on page 51 undefined on input line 2047.



LaTeX Warning: Reference `subcase-4.3' on page 51 undefined on input line 2065.


<xymatrix 2x3 231>
Underfull \vbox (badness 10000) has occurred while \output is active []

 [51]

LaTeX Warning: Reference `subcase-4.3' on page 52 undefined on input line 2074.



LaTeX Warning: Reference `case-4' on page 52 undefined on input line 2076.


LaTeX Warning: Reference `case-4' on page 52 undefined on input line 2076.

[52]
Chapter 4.

LaTeX Warning: Reference `MainThm' on page 53 undefined on input line 2084.


LaTeX Warning: Citation `GILES-SEL' on page 53 undefined on input line 2084.


LaTeX Warning: Reference `tab-equations' on page 53 undefined on input line 208
4.


LaTeX Warning: Reference `tab-equations2' on page 53 undefined on input line 20
84.


LaTeX Warning: Reference `TechLemma' on page 53 undefined on input line 2084.


LaTeX Warning: Reference `GSAlg' on page 53 undefined on input line 2084.


LaTeX Warning: Reference `tab-equations' on page 53 undefined on input line 208
6.


LaTeX Warning: Reference `tab-equations2' on page 53 undefined on input line 20
86.


LaTeX Warning: Reference `GSAlg' on page 53 undefined on input line 2088.


LaTeX Warning: Citation `GILES-SEL' on page 53 undefined on input line 2088.


LaTeX Warning: Reference `bad-case' on page 53 undefined on input line 2090.


LaTeX Warning: Reference `TechLemma' on page 53 undefined on input line 2090.


LaTeX Warning: Reference `MainThm' on page 53 undefined on input line 2090.


LaTeX Warning: Reference `tab-equations' on page 53 undefined on input line 209
0.

(SethMastersThesis.bbl [53

]
LaTeX Font Info:    Try loading font information for OT1+pcr on input line 7.

("C:\Program Files\MiKTeX 2.9\tex\latex\psnfss\ot1pcr.fd"
File: ot1pcr.fd 2001/06/04 font definitions for OT1/pcr.
)) [54


]

Package lastpage Warning: Rerun to get the references right on input line 2095.



AED: lastpage setting LastPage
Package atveryend Info: Empty hook `BeforeClearDocument' on input line 2095.
Package atveryend Info: Empty hook `AfterLastShipout' on input line 2095.
(SethMastersThesis.aux)
Package atveryend Info: Executing hook `AtVeryEndDocument' on input line 2095.
Package atveryend Info: Executing hook `AtEndAfterFileList' on input line 2095.



Package rerunfilecheck Warning: File `SethMastersThesis.out' has changed.
(rerunfilecheck)                Rerun to get outlines right
(rerunfilecheck)                or use package `bookmark'.

Package rerunfilecheck Info: Checksums for `SethMastersThesis.out':
(rerunfilecheck)             Before: <no file>
(rerunfilecheck)             After:  F401A88B3BF35968876CAE962B655803;3693.

LaTeX Warning: There were undefined references.


LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right.

Package atveryend Info: Empty hook `AtVeryVeryEnd' on input line 2095.
 ) 
Here is how much of TeX's memory you used:
 26342 strings out of 493323
 438112 string characters out of 3139060
 563576 words of memory out of 3000000
 29189 multiletter control sequences out of 15000+200000
 20382 words of font info for 79 fonts, out of 3000000 for 9000
 1141 hyphenation exceptions out of 8191
 55i,20n,54p,3251b,891s stack positions out of 5000i,500n,10000p,200000b,50000s
{C:/Program Files/MiKTeX 2.9/fonts/enc/dvips/base/8r.enc}<C:/Program Files/Mi
KTeX 2.9/fonts/type1/public/amsfonts/cmextra/cmbsy6.pfb><C:/Program Files/MiKTe
X 2.9/fonts/type1/public/amsfonts/cmextra/cmbsy8.pfb><C:/Program Files/MiKTeX 2
.9/fonts/type1/public/amsfonts/cm/cmbx10.pfb><C:/Program Files/MiKTeX 2.9/fonts
/type1/public/amsfonts/cm/cmbx12.pfb><C:/Program Files/MiKTeX 2.9/fonts/type1/p
ublic/amsfonts/cm/cmbx8.pfb><C:/Program Files/MiKTeX 2.9/fonts/type1/public/ams
fonts/cm/cmex10.pfb><C:/Program Files/MiKTeX 2.9/fonts/type1/public/amsfonts/cm
/cmmi12.pfb><C:/Program Files/MiKTeX 2.9/fonts/type1/public/amsfonts/cm/cmmi6.p
fb><C:/Program Files/MiKTeX 2.9/fonts/type1/public/amsfonts/cm/cmmi8.pfb><C:/Pr
ogram Files/MiKTeX 2.9/fonts/type1/public/amsfonts/cm/cmmib10.pfb><C:/Program F
iles/MiKTeX 2.9/fonts/type1/public/amsfonts/cmextra/cmmib8.pfb><C:/Program File
s/MiKTeX 2.9/fonts/type1/public/amsfonts/cm/cmr10.pfb><C:/Program Files/MiKTeX 
2.9/fonts/type1/public/amsfonts/cm/cmr12.pfb><C:/Program Files/MiKTeX 2.9/fonts
/type1/public/amsfonts/cm/cmr6.pfb><C:/Program Files/MiKTeX 2.9/fonts/type1/pub
lic/amsfonts/cm/cmr8.pfb><C:/Program Files/MiKTeX 2.9/fonts/type1/public/amsfon
ts/cm/cmsy10.pfb><C:/Program Files/MiKTeX 2.9/fonts/type1/public/amsfonts/cm/cm
sy6.pfb><C:/Program Files/MiKTeX 2.9/fonts/type1/public/amsfonts/cm/cmsy8.pfb><
C:/Program Files/MiKTeX 2.9/fonts/type1/public/amsfonts/cm/cmti12.pfb><C:/Progr
am Files/MiKTeX 2.9/fonts/type1/public/amsfonts/symbols/msbm10.pfb><C:/Program 
Files/MiKTeX 2.9/fonts/type1/urw/courier/ucrr8a.pfb><C:/Program Files/MiKTeX 2.
9/fonts/type1/public/xypic/xyatip10.pfb><C:/Program Files/MiKTeX 2.9/fonts/type
1/public/xypic/xybtip10.pfb>
Output written on SethMastersThesis.pdf (61 pages, 448413 bytes).
PDF statistics:
 599 PDF objects out of 1000 (max. 8388607)
 224 named destinations out of 1000 (max. 500000)
 21 words of extra memory for PDF output out of 10000 (max. 10000000)