This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021) (preloaded format=pdflatex 2021.12.17) 8 MAY 2022 14:04

entering extended mode

\write18 enabled.

file:line:error style messages enabled.

%&-line parsing enabled.

**/Users/hongdali/Desktop/repos/Subspace_Projection_Method/thesis/thesis.tex

(/Users/hongdali/Desktop/repos/Subspace_Projection_Method/thesis/thesis.tex

LaTeX2e <2020-10-01> patch level 4

L3 programming layer <2021-02-18> (/usr/local/texlive/2021/texmf-dist/tex/latex/base/article.cls

Document Class: article 2020/04/10 v1.4m Standard LaTeX document class

(/usr/local/texlive/2021/texmf-dist/tex/latex/base/size10.clo

File: size10.clo 2020/04/10 v1.4m Standard LaTeX file (size option)

)

\c@part=\count179

\c@section=\count180

\c@subsection=\count181

\c@subsubsection=\count182

\c@paragraph=\count183

\c@subparagraph=\count184

\c@figure=\count185

\c@table=\count186

\abovecaptionskip=\skip47

\belowcaptionskip=\skip48

\bibindent=\dimen138

) (/usr/local/texlive/2021/texmf-dist/tex/latex/amsmath/amsmath.sty

Package: amsmath 2020/09/23 v2.17i AMS math features

\@mathmargin=\skip49

For additional information on amsmath, use the `?' option.

(/usr/local/texlive/2021/texmf-dist/tex/latex/amsmath/amstext.sty

Package: amstext 2000/06/29 v2.01 AMS text

(/usr/local/texlive/2021/texmf-dist/tex/latex/amsmath/amsgen.sty

File: amsgen.sty 1999/11/30 v2.0 generic functions

\@emptytoks=\toks15

\ex@=\dimen139

)) (/usr/local/texlive/2021/texmf-dist/tex/latex/amsmath/amsbsy.sty

Package: amsbsy 1999/11/29 v1.2d Bold Symbols

\pmbraise@=\dimen140

) (/usr/local/texlive/2021/texmf-dist/tex/latex/amsmath/amsopn.sty

Package: amsopn 2016/03/08 v2.02 operator names

)

\inf@bad=\count187

LaTeX Info: Redefining \frac on input line 234.

\uproot@=\count188

\leftroot@=\count189

LaTeX Info: Redefining \overline on input line 399.

\classnum@=\count190

\DOTSCASE@=\count191

LaTeX Info: Redefining \ldots on input line 496.

LaTeX Info: Redefining \dots on input line 499.

LaTeX Info: Redefining \cdots on input line 620.

\Mathstrutbox@=\box47

\strutbox@=\box48

\big@size=\dimen141

LaTeX Font Info: Redeclaring font encoding OML on input line 743.

LaTeX Font Info: Redeclaring font encoding OMS on input line 744.

\macc@depth=\count192

\c@MaxMatrixCols=\count193

\dotsspace@=\muskip16

\c@parentequation=\count194

\dspbrk@lvl=\count195

\tag@help=\toks16

\row@=\count196

\column@=\count197

\maxfields@=\count198

\andhelp@=\toks17

\eqnshift@=\dimen142

\alignsep@=\dimen143

\tagshift@=\dimen144

\tagwidth@=\dimen145

\totwidth@=\dimen146

\lineht@=\dimen147

\@envbody=\toks18

\multlinegap=\skip50

\multlinetaggap=\skip51

\mathdisplay@stack=\toks19

LaTeX Info: Redefining \[ on input line 2923.

LaTeX Info: Redefining \] on input line 2924.

) (/usr/local/texlive/2021/texmf-dist/tex/latex/amsfonts/amsfonts.sty

Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support

\symAMSa=\mathgroup4

\symAMSb=\mathgroup5

LaTeX Font Info: Redeclaring math symbol \hbar on input line 98.

LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold'

(Font) U/euf/m/n --> U/euf/b/n on input line 106.

) (/usr/local/texlive/2021/texmf-dist/tex/generic/babel/babel.sty

Package: babel 2021/03/24 3.56 The Babel package

(/usr/local/texlive/2021/texmf-dist/tex/generic/babel/babel.def

File: babel.def 2021/03/24 3.56 Babel common definitions

\babel@savecnt=\count199

\U@D=\dimen148

\l@babelnohyphens=\language87

(/usr/local/texlive/2021/texmf-dist/tex/generic/babel/txtbabel.def)

\bbl@readstream=\read2

)

\bbl@dirlevel=\count266

(/usr/local/texlive/2021/texmf-dist/tex/generic/babel-english/english.ldf

Language: english 2017/06/06 v3.3r English support from the babel system

Package babel Info: \l@canadian = using hyphenrules for english

(babel) (\language0) on input line 102.

Package babel Info: \l@australian = using hyphenrules for ukenglish

(babel) (\language21) on input line 105.

Package babel Info: \l@newzealand = using hyphenrules for ukenglish

(babel) (\language21) on input line 108.

)) (/usr/local/texlive/2021/texmf-dist/tex/latex/amscls/amsthm.sty

Package: amsthm 2020/05/29 v2.20.6

\thm@style=\toks20

\thm@bodyfont=\toks21

\thm@headfont=\toks22

\thm@notefont=\toks23

\thm@headpunct=\toks24

\thm@preskip=\skip52

\thm@postskip=\skip53

\thm@headsep=\skip54

\dth@everypar=\toks25

) (/usr/local/texlive/2021/texmf-dist/tex/latex/listings/listings.sty (/usr/local/texlive/2021/texmf-dist/tex/latex/graphics/keyval.sty

Package: keyval 2014/10/28 v1.15 key=value parser (DPC)

\KV@toks@=\toks26

)

\lst@mode=\count267

\lst@gtempboxa=\box49

\lst@token=\toks27

\lst@length=\count268

\lst@currlwidth=\dimen149

\lst@column=\count269

\lst@pos=\count270

\lst@lostspace=\dimen150

\lst@width=\dimen151

\lst@newlines=\count271

\lst@lineno=\count272

\lst@maxwidth=\dimen152

(/usr/local/texlive/2021/texmf-dist/tex/latex/listings/lstmisc.sty

File: lstmisc.sty 2020/03/24 1.8d (Carsten Heinz)

\c@lstnumber=\count273

\lst@skipnumbers=\count274

\lst@framebox=\box50

) (/usr/local/texlive/2021/texmf-dist/tex/latex/listings/listings.cfg

File: listings.cfg 2020/03/24 1.8d listings configuration

))

Package: listings 2020/03/24 1.8d (Carsten Heinz)

(/usr/local/texlive/2021/texmf-dist/tex/latex/psnfss/courier.sty

Package: courier 2020/03/25 PSNFSS-v9.3 (WaS)

) (/usr/local/texlive/2021/texmf-dist/tex/latex/fancyvrb/fancyvrb.sty

Package: fancyvrb 2021/01/20 v3.7 verbatim text (tvz,hv)

\FV@CodeLineNo=\count275

\FV@InFile=\read3

\FV@TabBox=\box51

\c@FancyVerbLine=\count276

\FV@StepNumber=\count277

\FV@OutFile=\write3

) (/usr/local/texlive/2021/texmf-dist/tex/latex/bera/beramono.sty

Package: beramono 2004/01/31 (WaS)

) (/usr/local/texlive/2021/texmf-dist/tex/latex/mathtools/mathtools.sty

Package: mathtools 2021/03/18 v1.25 mathematical typesetting tools

(/usr/local/texlive/2021/texmf-dist/tex/latex/tools/calc.sty

Package: calc 2017/05/25 v4.3 Infix arithmetic (KKT,FJ)

\calc@Acount=\count278

\calc@Bcount=\count279

\calc@Adimen=\dimen153

\calc@Bdimen=\dimen154

\calc@Askip=\skip55

\calc@Bskip=\skip56

LaTeX Info: Redefining \setlength on input line 80.

LaTeX Info: Redefining \addtolength on input line 81.

\calc@Ccount=\count280

\calc@Cskip=\skip57

) (/usr/local/texlive/2021/texmf-dist/tex/latex/mathtools/mhsetup.sty

Package: mhsetup 2021/03/18 v1.4 programming setup (MH)

)

LaTeX Info: Thecontrolsequence`\('isalreadyrobust on input line 130.

LaTeX Info: Thecontrolsequence`\)'isalreadyrobust on input line 130.

LaTeX Info: Thecontrolsequence`\['isalreadyrobust on input line 130.

LaTeX Info: Thecontrolsequence`\]'isalreadyrobust on input line 130.

\g_MT_multlinerow_int=\count281

\l_MT_multwidth_dim=\dimen155

\origjot=\skip58

\l_MT_shortvdotswithinadjustabove_dim=\dimen156

\l_MT_shortvdotswithinadjustbelow_dim=\dimen157

\l_MT_above_intertext_sep=\dimen158

\l_MT_below_intertext_sep=\dimen159

\l_MT_above_shortintertext_sep=\dimen160

\l_MT_below_shortintertext_sep=\dimen161

\xmathstrut@box=\box52

\xmathstrut@dim=\dimen162

) (/usr/local/texlive/2021/texmf-dist/tex/latex/hyperref/hyperref.sty

Package: hyperref 2021-02-27 v7.00k Hypertext links for LaTeX

(/usr/local/texlive/2021/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty

Package: ltxcmds 2020-05-10 v1.25 LaTeX kernel commands for general use (HO)

) (/usr/local/texlive/2021/texmf-dist/tex/generic/iftex/iftex.sty

Package: iftex 2020/03/06 v1.0d TeX engine tests

) (/usr/local/texlive/2021/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty

Package: pdftexcmds 2020-06-27 v0.33 Utility functions of pdfTeX for LuaTeX (HO)

(/usr/local/texlive/2021/texmf-dist/tex/generic/infwarerr/infwarerr.sty

Package: infwarerr 2019/12/03 v1.5 Providing info/warning/error messages (HO)

)

Package pdftexcmds Info: \pdf@primitive is available.

Package pdftexcmds Info: \pdf@ifprimitive is available.

Package pdftexcmds Info: \pdfdraftmode found.

) (/usr/local/texlive/2021/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty

Package: kvsetkeys 2019/12/15 v1.18 Key value parser (HO)

) (/usr/local/texlive/2021/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty

Package: kvdefinekeys 2019-12-19 v1.6 Define keys (HO)

) (/usr/local/texlive/2021/texmf-dist/tex/generic/pdfescape/pdfescape.sty

Package: pdfescape 2019/12/09 v1.15 Implements pdfTeX's escape features (HO)

) (/usr/local/texlive/2021/texmf-dist/tex/latex/hycolor/hycolor.sty

Package: hycolor 2020-01-27 v1.10 Color options for hyperref/bookmark (HO)

) (/usr/local/texlive/2021/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty

Package: letltxmacro 2019/12/03 v1.6 Let assignment for LaTeX macros (HO)

) (/usr/local/texlive/2021/texmf-dist/tex/latex/auxhook/auxhook.sty

Package: auxhook 2019-12-17 v1.6 Hooks for auxiliary files (HO)

) (/usr/local/texlive/2021/texmf-dist/tex/latex/kvoptions/kvoptions.sty

Package: kvoptions 2020-10-07 v3.14 Key value format for package options (HO)

)

\@linkdim=\dimen163

\Hy@linkcounter=\count282

\Hy@pagecounter=\count283

(/usr/local/texlive/2021/texmf-dist/tex/latex/hyperref/pd1enc.def

File: pd1enc.def 2021-02-27 v7.00k Hyperref: PDFDocEncoding definition (HO)

Now handling font encoding PD1 ...

... no UTF-8 mapping file for font encoding PD1

) (/usr/local/texlive/2021/texmf-dist/tex/latex/hyperref/hyperref-langpatches.def

File: hyperref-langpatches.def 2021-02-27 v7.00k Hyperref: patches for babel languages

) (/usr/local/texlive/2021/texmf-dist/tex/generic/intcalc/intcalc.sty

Package: intcalc 2019/12/15 v1.3 Expandable calculations with integers (HO)

) (/usr/local/texlive/2021/texmf-dist/tex/generic/etexcmds/etexcmds.sty

Package: etexcmds 2019/12/15 v1.7 Avoid name clashes with e-TeX commands (HO)

)

\Hy@SavedSpaceFactor=\count284

(/usr/local/texlive/2021/texmf-dist/tex/latex/hyperref/puenc.def

File: puenc.def 2021-02-27 v7.00k Hyperref: PDF Unicode definition (HO)

Now handling font encoding PU ...

... no UTF-8 mapping file for font encoding PU

)

Package hyperref Info: Hyper figures OFF on input line 4192.

Package hyperref Info: Link nesting OFF on input line 4197.

Package hyperref Info: Hyper index ON on input line 4200.

Package hyperref Info: Plain pages OFF on input line 4207.

Package hyperref Info: Backreferencing OFF on input line 4212.

Package hyperref Info: Implicit mode ON; LaTeX internals redefined.

Package hyperref Info: Bookmarks ON on input line 4445.

\c@Hy@tempcnt=\count285

(/usr/local/texlive/2021/texmf-dist/tex/latex/url/url.sty

\Urlmuskip=\muskip17

Package: url 2013/09/16 ver 3.4 Verb mode for urls, etc.

)

LaTeX Info: Redefining \url on input line 4804.

\XeTeXLinkMargin=\dimen164

(/usr/local/texlive/2021/texmf-dist/tex/generic/bitset/bitset.sty

Package: bitset 2019/12/09 v1.3 Handle bit-vector datatype (HO)

(/usr/local/texlive/2021/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty

Package: bigintcalc 2019/12/15 v1.5 Expandable calculations on big integers (HO)

))

\Fld@menulength=\count286

\Field@Width=\dimen165

\Fld@charsize=\dimen166

Package hyperref Info: Hyper figures OFF on input line 6075.

Package hyperref Info: Link nesting OFF on input line 6080.

Package hyperref Info: Hyper index ON on input line 6083.

Package hyperref Info: backreferencing OFF on input line 6090.

Package hyperref Info: Link coloring OFF on input line 6095.

Package hyperref Info: Link coloring with OCG OFF on input line 6100.

Package hyperref Info: PDF/A mode OFF on input line 6105.

LaTeX Info: Redefining \ref on input line 6145.

LaTeX Info: Redefining \pageref on input line 6149.

(/usr/local/texlive/2021/texmf-dist/tex/latex/base/atbegshi-ltx.sty

Package: atbegshi-ltx 2020/08/17 v1.0a Emulation of the original atbegshi package

with kernel methods

)

\Hy@abspage=\count287

\c@Item=\count288

\c@Hfootnote=\count289

)

Package hyperref Info: Driver (autodetected): hpdftex.

(/usr/local/texlive/2021/texmf-dist/tex/latex/hyperref/hpdftex.def

File: hpdftex.def 2021-02-27 v7.00k Hyperref driver for pdfTeX

(/usr/local/texlive/2021/texmf-dist/tex/latex/base/atveryend-ltx.sty

Package: atveryend-ltx 2020/08/19 v1.0a Emulation of the original atvery package

with kernel methods

)

\Fld@listcount=\count290

\c@bookmark@seq@number=\count291

(/usr/local/texlive/2021/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty

Package: rerunfilecheck 2019/12/05 v1.9 Rerun checks for auxiliary files (HO)

(/usr/local/texlive/2021/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty

Package: uniquecounter 2019/12/15 v1.4 Provide unlimited unique counter (HO)

)

Package uniquecounter Info: New unique counter `rerunfilecheck' on input line 286.

)

\Hy@SectionHShift=\skip59

) (/usr/local/texlive/2021/texmf-dist/tex/latex/xcolor/xcolor.sty

Package: xcolor 2016/05/11 v2.12 LaTeX color extensions (UK)

(/usr/local/texlive/2021/texmf-dist/tex/latex/graphics-cfg/color.cfg

File: color.cfg 2016/01/02 v1.6 sample color configuration

)

Package xcolor Info: Package option `usenames' ignored on input line 216.

Package xcolor Info: Driver file: pdftex.def on input line 225.

(/usr/local/texlive/2021/texmf-dist/tex/latex/graphics-def/pdftex.def

File: pdftex.def 2020/10/05 v1.2a Graphics/color driver for pdftex

)

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.

(/usr/local/texlive/2021/texmf-dist/tex/latex/graphics/dvipsnam.def

File: dvipsnam.def 2016/06/17 v3.0m Driver-dependent file (DPC,SPQR)

)) (/usr/local/texlive/2021/texmf-dist/tex/latex/base/fontenc.sty

Package: fontenc 2020/08/10 v2.0s Standard LaTeX package

) (/usr/local/texlive/2021/texmf-dist/tex/latex/geometry/geometry.sty

Package: geometry 2020/01/02 v5.9 Page Geometry

(/usr/local/texlive/2021/texmf-dist/tex/generic/iftex/ifvtex.sty

Package: ifvtex 2019/10/25 v1.7 ifvtex legacy package. Use iftex instead.

)

\Gm@cnth=\count292

\Gm@cntv=\count293

\c@Gm@tempcnt=\count294

\Gm@bindingoffset=\dimen167

\Gm@wd@mp=\dimen168

\Gm@odd@mp=\dimen169

\Gm@even@mp=\dimen170

\Gm@layoutwidth=\dimen171

\Gm@layoutheight=\dimen172

\Gm@layouthoffset=\dimen173

\Gm@layoutvoffset=\dimen174

\Gm@dimlist=\toks28

) (/usr/local/texlive/2021/texmf-dist/tex/latex/fontsize/fontsize.sty

Package: fontsize 2021/03/14 v0.8.1 'fontsize' package. Set main font sizes (Ivan Valbusa)

(/usr/local/texlive/2021/texmf-dist/tex/latex/xkeyval/xkeyval.sty

Package: xkeyval 2020/11/20 v2.8 package option processing (HA)

(/usr/local/texlive/2021/texmf-dist/tex/generic/xkeyval/xkeyval.tex (/usr/local/texlive/2021/texmf-dist/tex/generic/xkeyval/xkvutils.tex

\XKV@toks=\toks29

\XKV@tempa@toks=\toks30

)

\XKV@depth=\count295

File: xkeyval.tex 2014/12/03 v2.7a key=value parser (HA)

)) (/usr/local/texlive/2021/texmf-dist/tex/latex/l3packages/xfp/xfp.sty (/usr/local/texlive/2021/texmf-dist/tex/latex/l3kernel/expl3.sty

Package: expl3 2021-02-18 L3 programming layer (loader)

(/usr/local/texlive/2021/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def

File: l3backend-pdftex.def 2021-03-18 L3 backend support: PDF output (pdfTeX)

\l__color_backend_stack_int=\count296

\l__pdf_internal_box=\box53

))

Package: xfp 2021-03-12 L3 Floating point unit

LaTeX3 Info: Defining command \fpeval with sig. 'm' on line 37.

LaTeX3 Info: Defining command \inteval with sig. 'm' on line 38.

)

LaTeX3 Info: Defining command \printsamples with sig.

(LaTeX3) 'mmO{tiny,tinyr,tinyrr,tinyrrr,scriptsize,scriptsizer,scriptsizerr,scriptsizerrr,footnotesize,footnotesizer,footnotesizerr,footnotesizerrr,small,smallr,smallrr,smallrrr,normalsize,normalsizer,normalsizerr,normalsizerrr,large,larger,largerr,largerrr,Large,Larger,Largerr,Largerrr,LARGE,LARGEr,LARGErr,LARGErrr,huge,huger,hugerr,hugerrr,Huge,Huger,Hugerr,Hugerrr,HGE,HUGEr,HUGErr,HUGErrr,}'

(LaTeX3) on line 1138.

) (/usr/local/texlive/2021/texmf-dist/tex/latex/caption/caption.sty

Package: caption 2020/10/26 v3.5g Customizing captions (AR)

(/usr/local/texlive/2021/texmf-dist/tex/latex/caption/caption3.sty

Package: caption3 2020/10/21 v2.2e caption3 kernel (AR)

\captionmargin=\dimen175

\captionmargin@=\dimen176

\captionwidth=\dimen177

\caption@tempdima=\dimen178

\caption@indent=\dimen179

\caption@parindent=\dimen180

\caption@hangindent=\dimen181

Package caption Info: Standard document class detected.

)

\c@caption@flags=\count297

\c@continuedfloat=\count298

Package caption Info: hyperref package is loaded.

Package caption Info: listings package is loaded.

) (/usr/local/texlive/2021/texmf-dist/tex/latex/caption/subcaption.sty

Package: subcaption 2020/10/07 v1.3j Sub-captions (AR)

\c@subfigure=\count299

\c@subtable=\count300

) (/usr/local/texlive/2021/texmf-dist/tex/latex/wrapfig/wrapfig.sty

\wrapoverhang=\dimen182

\WF@size=\dimen183

\c@WF@wrappedlines=\count301

\WF@box=\box54

\WF@everypar=\toks31

Package: wrapfig 2003/01/31 v 3.6

) (/usr/local/texlive/2021/texmf-dist/tex/latex/float/float.sty

Package: float 2001/11/08 v1.3d Float enhancements (AL)

\c@float@type=\count302

\float@exts=\toks32

\float@box=\box55

\@float@everytoks=\toks33

\@floatcapt=\box56

) (/usr/local/texlive/2021/texmf-dist/tex/latex/graphics/graphicx.sty

Package: graphicx 2020/09/09 v1.2b Enhanced LaTeX Graphics (DPC,SPQR)

(/usr/local/texlive/2021/texmf-dist/tex/latex/graphics/graphics.sty

Package: graphics 2020/08/30 v1.4c Standard LaTeX Graphics (DPC,SPQR)

(/usr/local/texlive/2021/texmf-dist/tex/latex/graphics/trig.sty

Package: trig 2016/01/03 v1.10 sin cos tan (DPC)

) (/usr/local/texlive/2021/texmf-dist/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 105.

)

\Gin@req@height=\dimen184

\Gin@req@width=\dimen185

)

\c@theorem=\count303

\c@prop=\count304

\c@lemma=\count305

\c@definition=\count306

\c@remark=\count307

Package hyperref Info: Option `colorlinks' set `true' on input line 38.

(/usr/local/texlive/2021/texmf-dist/tex/latex/biblatex/biblatex.sty

Package: biblatex 2020/12/31 v3.16 programmable bibliographies (PK/MW)

(/usr/local/texlive/2021/texmf-dist/tex/latex/etoolbox/etoolbox.sty

Package: etoolbox 2020/10/05 v2.5k e-TeX tools for LaTeX (JAW)

\etb@tempcnta=\count308

) (/usr/local/texlive/2021/texmf-dist/tex/latex/logreq/logreq.sty

Package: logreq 2010/08/04 v1.0 xml request logger

\lrq@indent=\count309

(/usr/local/texlive/2021/texmf-dist/tex/latex/logreq/logreq.def

File: logreq.def 2010/08/04 v1.0 logreq spec v1.0

)) (/usr/local/texlive/2021/texmf-dist/tex/latex/base/ifthen.sty

Package: ifthen 2014/09/29 v1.1c Standard LaTeX ifthen package (DPC)

)

\c@tabx@nest=\count310

\c@listtotal=\count311

\c@listcount=\count312

\c@liststart=\count313

\c@liststop=\count314

\c@citecount=\count315

\c@citetotal=\count316

\c@multicitecount=\count317

\c@multicitetotal=\count318

\c@instcount=\count319

\c@maxnames=\count320

\c@minnames=\count321

\c@maxitems=\count322

\c@minitems=\count323

\c@citecounter=\count324

\c@maxcitecounter=\count325

\c@savedcitecounter=\count326

\c@uniquelist=\count327

\c@uniquename=\count328

\c@refsection=\count329

\c@refsegment=\count330

\c@maxextratitle=\count331

\c@maxextratitleyear=\count332

\c@maxextraname=\count333

\c@maxextradate=\count334

\c@maxextraalpha=\count335

\c@abbrvpenalty=\count336

\c@highnamepenalty=\count337

\c@lownamepenalty=\count338

\c@maxparens=\count339

\c@parenlevel=\count340

\blx@tempcnta=\count341

\blx@tempcntb=\count342

\blx@tempcntc=\count343

\blx@maxsection=\count344

\blx@maxsegment@0=\count345

\blx@notetype=\count346

\blx@parenlevel@text=\count347

\blx@parenlevel@foot=\count348

\blx@sectionciteorder@0=\count349

\blx@entrysetcounter=\count350

\blx@biblioinstance=\count351

\labelnumberwidth=\skip60

\labelalphawidth=\skip61

\biblabelsep=\skip62

\bibitemsep=\skip63

\bibnamesep=\skip64

\bibinitsep=\skip65

\bibparsep=\skip66

\bibhang=\skip67

\blx@bcfin=\read4

\blx@bcfout=\write4

\blx@langwohyphens=\language88

\c@mincomprange=\count352

\c@maxcomprange=\count353

\c@mincompwidth=\count354

Package biblatex Info: Trying to load biblatex default data model...

Package biblatex Info: ... file 'blx-dm.def' found.

(/usr/local/texlive/2021/texmf-dist/tex/latex/biblatex/blx-dm.def

File: blx-dm.def 2020/12/31 v3.16 biblatex localization (PK/MW)

)

Package biblatex Info: Trying to load biblatex custom data model...

Package biblatex Info: ... file 'biblatex-dm.cfg' not found.

\c@afterword=\count355

\c@savedafterword=\count356

\c@annotator=\count357

\c@savedannotator=\count358

\c@author=\count359

\c@savedauthor=\count360

\c@bookauthor=\count361

\c@savedbookauthor=\count362

\c@commentator=\count363

\c@savedcommentator=\count364

\c@editor=\count365

\c@savededitor=\count366

\c@editora=\count367

\c@savededitora=\count368

\c@editorb=\count369

\c@savededitorb=\count370

\c@editorc=\count371

\c@savededitorc=\count372

\c@foreword=\count373

\c@savedforeword=\count374

\c@holder=\count375

\c@savedholder=\count376

\c@introduction=\count377

\c@savedintroduction=\count378

\c@namea=\count379

\c@savednamea=\count380

\c@nameb=\count381

\c@savednameb=\count382

\c@namec=\count383

\c@savednamec=\count384

\c@translator=\count385

\c@savedtranslator=\count386

\c@shortauthor=\count387

\c@savedshortauthor=\count388

\c@shorteditor=\count389

\c@savedshorteditor=\count390

\c@labelname=\count391

\c@savedlabelname=\count392

\c@institution=\count393

\c@savedinstitution=\count394

\c@lista=\count395

\c@savedlista=\count396

\c@listb=\count397

\c@savedlistb=\count398

\c@listc=\count399

\c@savedlistc=\count400

\c@listd=\count401

\c@savedlistd=\count402

\c@liste=\count403

\c@savedliste=\count404

\c@listf=\count405

\c@savedlistf=\count406

\c@location=\count407

\c@savedlocation=\count408

\c@organization=\count409

\c@savedorganization=\count410

\c@origlocation=\count411

\c@savedoriglocation=\count412

\c@origpublisher=\count413

\c@savedorigpublisher=\count414

\c@publisher=\count415

\c@savedpublisher=\count416

\c@language=\count417

\c@savedlanguage=\count418

\c@origlanguage=\count419

\c@savedoriglanguage=\count420

\c@pageref=\count421

\c@savedpageref=\count422

\shorthandwidth=\skip68

\shortjournalwidth=\skip69

\shortserieswidth=\skip70

\shorttitlewidth=\skip71

\shortauthorwidth=\skip72

\shorteditorwidth=\skip73

\locallabelnumberwidth=\skip74

\locallabelalphawidth=\skip75

\localshorthandwidth=\skip76

\localshortjournalwidth=\skip77

\localshortserieswidth=\skip78

\localshorttitlewidth=\skip79

\localshortauthorwidth=\skip80

\localshorteditorwidth=\skip81

Package biblatex Info: Trying to load compatibility code...

Package biblatex Info: ... file 'blx-compat.def' found.

(/usr/local/texlive/2021/texmf-dist/tex/latex/biblatex/blx-compat.def

File: blx-compat.def 2020/12/31 v3.16 biblatex compatibility (PK/MW)

)

Package biblatex Info: Trying to load generic definitions...

Package biblatex Info: ... file 'biblatex.def' found.

(/usr/local/texlive/2021/texmf-dist/tex/latex/biblatex/biblatex.def

File: biblatex.def 2020/12/31 v3.16 biblatex compatibility (PK/MW)

\c@textcitecount=\count423

\c@textcitetotal=\count424

\c@textcitemaxnames=\count425

\c@biburlbigbreakpenalty=\count426

\c@biburlbreakpenalty=\count427

\c@biburlnumpenalty=\count428

\c@biburlucpenalty=\count429

\c@biburllcpenalty=\count430

\biburlbigskip=\muskip18

\biburlnumskip=\muskip19

\biburlucskip=\muskip20

\biburllcskip=\muskip21

\c@smartand=\count431

)

Package biblatex Info: Trying to load bibliography style 'numeric'...

Package biblatex Info: ... file 'numeric.bbx' found.

(/usr/local/texlive/2021/texmf-dist/tex/latex/biblatex/bbx/numeric.bbx

File: numeric.bbx 2020/12/31 v3.16 biblatex bibliography style (PK/MW)

Package biblatex Info: Trying to load bibliography style 'standard'...

Package biblatex Info: ... file 'standard.bbx' found.

(/usr/local/texlive/2021/texmf-dist/tex/latex/biblatex/bbx/standard.bbx

File: standard.bbx 2020/12/31 v3.16 biblatex bibliography style (PK/MW)

\c@bbx:relatedcount=\count432

\c@bbx:relatedtotal=\count433

))

Package biblatex Info: Trying to load citation style 'numeric'...

Package biblatex Info: ... file 'numeric.cbx' found.

(/usr/local/texlive/2021/texmf-dist/tex/latex/biblatex/cbx/numeric.cbx

File: numeric.cbx 2020/12/31 v3.16 biblatex citation style (PK/MW)

Package biblatex Info: Redefining '\cite'.

Package biblatex Info: Redefining '\parencite'.

Package biblatex Info: Redefining '\footcite'.

Package biblatex Info: Redefining '\footcitetext'.

Package biblatex Info: Redefining '\smartcite'.

Package biblatex Info: Redefining '\supercite'.

Package biblatex Info: Redefining '\textcite'.

Package biblatex Info: Redefining '\textcites'.

Package biblatex Info: Redefining '\cites'.

Package biblatex Info: Redefining '\parencites'.

Package biblatex Info: Redefining '\smartcites'.

)

Package biblatex Info: Trying to load configuration file...

Package biblatex Info: ... file 'biblatex.cfg' found.

(/usr/local/texlive/2021/texmf-dist/tex/latex/biblatex/biblatex.cfg

File: biblatex.cfg

)) (/usr/local/texlive/2021/texmf-dist/tex/latex/appendix/appendix.sty

Package: appendix 2020/02/08 v1.2c extra appendix facilities

\c@@pps=\count434

\c@@ppsavesec=\count435

\c@@ppsaveapp=\count436

)

Package biblatex Warning: 'babel/polyglossia' detected but 'csquotes' missing.

(biblatex) Loading 'csquotes' recommended.

\@quotelevel=\count437

\@quotereset=\count438

(/Users/hongdali/Desktop/repos/Subspace_Projection_Method/thesis/thesis.aux)

\openout1 = `thesis.aux'.

LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 76.

LaTeX Font Info: ... okay on input line 76.

LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 76.

LaTeX Font Info: ... okay on input line 76.

LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 76.

LaTeX Font Info: ... okay on input line 76.

LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 76.

LaTeX Font Info: ... okay on input line 76.

LaTeX Font Info: Checking defaults for TS1/cmr/m/n on input line 76.

LaTeX Font Info: ... okay on input line 76.

LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 76.

LaTeX Font Info: ... okay on input line 76.

LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 76.

LaTeX Font Info: ... okay on input line 76.

LaTeX Font Info: Checking defaults for PD1/pdf/m/n on input line 76.

LaTeX Font Info: ... okay on input line 76.

LaTeX Font Info: Checking defaults for PU/pdf/m/n on input line 76.

LaTeX Font Info: ... okay on input line 76.

\c@lstlisting=\count439

Package hyperref Info: Link coloring ON on input line 76.

(/usr/local/texlive/2021/texmf-dist/tex/latex/hyperref/nameref.sty

Package: nameref 2021-04-02 v2.47 Cross-referencing by name of section

(/usr/local/texlive/2021/texmf-dist/tex/latex/refcount/refcount.sty

Package: refcount 2019/12/15 v3.6 Data extraction from label references (HO)

) (/usr/local/texlive/2021/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty

Package: gettitlestring 2019/12/15 v1.6 Cleanup title references (HO)

)

\c@section@level=\count440

)

LaTeX Info: Redefining \ref on input line 76.

LaTeX Info: Redefining \pageref on input line 76.

LaTeX Info: Redefining \nameref on input line 76.

(/Users/hongdali/Desktop/repos/Subspace_Projection_Method/thesis/thesis.out) (/Users/hongdali/Desktop/repos/Subspace_Projection_Method/thesis/thesis.out)

\@outlinefile=\write5

\openout5 = `thesis.out'.

(/usr/local/texlive/2021/texmf-dist/tex/context/base/mkii/supp-pdf.mkii

[Loading MPS to PDF converter (version 2006.09.02).]

\scratchcounter=\count441

\scratchdimen=\dimen186

\scratchbox=\box57

\nofMPsegments=\count442

\nofMParguments=\count443

\everyMPshowfont=\toks34

\MPscratchCnt=\count444

\MPscratchDim=\dimen187

\MPnumerator=\count445

\makeMPintoPDFobject=\count446

\everyMPtoPDFconversion=\toks35

) (/usr/local/texlive/2021/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty

Package: epstopdf-base 2020-01-24 v2.11 Base part for package epstopdf

Package epstopdf-base Info: Redefining graphics rule for `.eps' on input line 485.

(/usr/local/texlive/2021/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg

File: epstopdf-sys.cfg 2010/07/13 v1.3 Configuration of (r)epstopdf for TeX Live

))

*geometry* driver: auto-detecting

*geometry* detected driver: pdftex

*geometry* verbose mode - [ preamble ] result:

* driver: pdftex

* paper: <default>

* layout: <same size as paper>

* layoutoffset:(h,v)=(0.0pt,0.0pt)

* modes:

* h-part:(L,W,R)=(72.26999pt, 469.75502pt, 72.26999pt)

* v-part:(T,H,B)=(72.26999pt, 650.43001pt, 72.26999pt)

* \paperwidth=614.295pt

* \paperheight=794.96999pt

* \textwidth=469.75502pt

* \textheight=650.43001pt

* \oddsidemargin=0.0pt

* \evensidemargin=0.0pt

* \topmargin=-37.0pt

* \headheight=12.0pt

* \headsep=25.0pt

* \topskip=10.0pt

* \footskip=18.06749pt

* \marginparwidth=65.0pt

* \marginparsep=11.0pt

* \columnsep=10.0pt

* \skip\footins=10.79997pt plus 4.79947pt minus 2.4005pt

* \hoffset=0.0pt

* \voffset=0.0pt

* \mag=1000

* \@twocolumnfalse

* \@twosidefalse

* \@mparswitchfalse

* \@reversemarginfalse

* (1in=72.27pt=25.4mm, 1cm=28.453pt)

Package caption Info: Begin \AtBeginDocument code.

Package caption Info: float package is loaded.

Package caption Info: wrapfig package is loaded.

Package caption Info: End \AtBeginDocument code.

Package biblatex Info: Trying to load language 'english'...

Package biblatex Info: ... file 'english.lbx' found.

(/usr/local/texlive/2021/texmf-dist/tex/latex/biblatex/lbx/english.lbx

File: english.lbx 2020/12/31 v3.16 biblatex localization (PK/MW)

)

Package biblatex Info: Input encoding 'utf8' detected.

Package biblatex Info: Automatic encoding selection.

(biblatex) Assuming data encoding 'utf8'.

Package biblatex Info: Document encoding is UTF8 ....

Package biblatex Info: ... and expl3

(biblatex) 2021-02-18 L3 programming layer (loader)

(biblatex) is new enough (at least 2020/04/06),

(biblatex) setting 'casechanger=expl3'.

(/usr/local/texlive/2021/texmf-dist/tex/latex/biblatex/blx-case-expl3.sty (/usr/local/texlive/2021/texmf-dist/tex/latex/l3packages/xparse/xparse.sty (/usr/local/texlive/2021/texmf-dist/tex/latex/l3packages/xparse/xparse-2020-10-01.sty (/usr/local/texlive/2021/texmf-dist/tex/latex/l3packages/xparse/xparse-generic.tex)))

Package: blx-case-expl3 2020/12/31 v3.16 expl3 case changing code for biblatex

)

\openout4 = `thesis.bcf'.

Package biblatex Info: Trying to load bibliographic data...

Package biblatex Info: ... file 'thesis.bbl' found.

(/Users/hongdali/Desktop/repos/Subspace_Projection_Method/thesis/thesis.bbl)

Package biblatex Info: Reference section=0 on input line 76.

Package biblatex Info: Reference segment=0 on input line 76.

[1

{/usr/local/texlive/2021/texmf-var/fonts/map/pdftex/updmap/pdftex.map}] (/Users/hongdali/Desktop/repos/Subspace_Projection_Method/thesis/thesis.toc

LaTeX Font Info: Trying to load font information for U+msa on input line 10.

(/usr/local/texlive/2021/texmf-dist/tex/latex/amsfonts/umsa.fd

File: umsa.fd 2013/01/14 v3.01 AMS symbols A

)

LaTeX Font Info: Trying to load font information for U+msb on input line 10.

(/usr/local/texlive/2021/texmf-dist/tex/latex/amsfonts/umsb.fd

File: umsb.fd 2013/01/14 v3.01 AMS symbols B

) [2])

\tf@toc=\write6

\openout6 = `thesis.toc'.

[3] [4] [5] [6] [7]

Underfull \hbox (badness 10000) in paragraph at lines 233--236

[]

[8] [9] [10] [11] [12] [13] [14] [15] [16]

Overfull \hbox (16.56534pt too wide) in paragraph at lines 667--668

[]\T1/cmr/m/n/12 The base case is triv-ial and it's di-rectly true from the def-i-ni-tion of CG: $\OML/cmm/m/it/12 r[] \OMS/cmsy/m/n/12 2 K[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 A\OMS/cmsy/m/n/12 j\OML/cmm/m/it/12 r[]\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 ; p[] \OT1/cmr/m/n/12 =

[]

[17] [18] [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31] [32] [33] [34]

Package hyperref Warning: Token not allowed in a PDF string (Unicode):

(hyperref) removing `math shift' on input line 1597.

Package hyperref Warning: Token not allowed in a PDF string (Unicode):

(hyperref) removing `subscript' on input line 1597.

Package hyperref Warning: Token not allowed in a PDF string (Unicode):

(hyperref) removing `subscript' on input line 1597.

Package hyperref Warning: Token not allowed in a PDF string (Unicode):

(hyperref) removing `math shift' on input line 1597.

[35] [36] [37]

<cg_convergence_0.9.png, id=823, 2258.4375pt x 1505.625pt>

File: cg_convergence_0.9.png Graphic file (type png)

<use cg_convergence_0.9.png>

Package pdftex.def Info: cg_convergence_0.9.png used on input line 1780.

(pdftex.def) Requested size: 341.43306pt x 227.603pt.

<cg_convergence_1.png, id=824, 2258.4375pt x 1505.625pt>

File: cg_convergence_1.png Graphic file (type png)

<use cg_convergence_1.png>

Package pdftex.def Info: cg_convergence_1.png used on input line 1787.

(pdftex.def) Requested size: 341.43306pt x 227.603pt.

[38] [39 </Users/hongdali/Desktop/repos/Subspace_Projection_Method/thesis/cg_convergence_0.9.png> </Users/hongdali/Desktop/repos/Subspace_Projection_Method/thesis/cg_convergence_1.png>]

LaTeX Font Info: Calculating math sizes for size <10.00012> on input line 1805.

[40] [41] [42] [43]

<ritz_trajectory_plot_floats.png, id=923, 1882.03125pt x 1882.03125pt>

File: ritz_trajectory_plot_floats.png Graphic file (type png)

<use ritz_trajectory_plot_floats.png>

Package pdftex.def Info: ritz_trajectory_plot_floats.png used on input line 1994.

(pdftex.def) Requested size: 227.62204pt x 227.61449pt.

<ritz_trajectory_plot_exact.png, id=924, 1882.03125pt x 1882.03125pt>

File: ritz_trajectory_plot_exact.png Graphic file (type png)

<use ritz_trajectory_plot_exact.png>

Package pdftex.def Info: ritz_trajectory_plot_exact.png used on input line 1995.

(pdftex.def) Requested size: 227.62204pt x 227.61449pt.

[44 </Users/hongdali/Desktop/repos/Subspace_Projection_Method/thesis/ritz_trajectory_plot_floats.png> </Users/hongdali/Desktop/repos/Subspace_Projection_Method/thesis/ritz_trajectory_plot_exact.png>]

<fig3.png, id=935, 724.7075pt x 513.92pt>

File: fig3.png Graphic file (type png)

<use fig3.png>

Package pdftex.def Info: fig3.png used on input line 2005.

(pdftex.def) Requested size: 227.62204pt x 161.41515pt.

<fig4.png, id=936, 724.7075pt x 513.92pt>

File: fig4.png Graphic file (type png)

<use fig4.png>

Package pdftex.def Info: fig4.png used on input line 2006.

(pdftex.def) Requested size: 227.62204pt x 161.41515pt.

[45 </Users/hongdali/Desktop/repos/Subspace_Projection_Method/thesis/fig3.png> </Users/hongdali/Desktop/repos/Subspace_Projection_Method/thesis/fig4.png>] [46]

<lanczos_proj_on_ritz_float.png, id=967, 2258.4375pt x 1505.625pt>

File: lanczos_proj_on_ritz_float.png Graphic file (type png)

<use lanczos_proj_on_ritz_float.png>

Package pdftex.def Info: lanczos_proj_on_ritz_float.png used on input line 2039.

(pdftex.def) Requested size: 398.33858pt x 265.55598pt.

<lanczos_proj_on_ritz_exact.png, id=968, 2258.4375pt x 1505.625pt>

File: lanczos_proj_on_ritz_exact.png Graphic file (type png)

<use lanczos_proj_on_ritz_exact.png>

Package pdftex.def Info: lanczos_proj_on_ritz_exact.png used on input line 2045.

(pdftex.def) Requested size: 398.33858pt x 265.55598pt.

<ritz_proj_tridiagonal.png, id=969, 2258.4375pt x 1505.625pt>

File: ritz_proj_tridiagonal.png Graphic file (type png)

<use ritz_proj_tridiagonal.png>

Package pdftex.def Info: ritz_proj_tridiagonal.png used on input line 2050.

(pdftex.def) Requested size: 398.33858pt x 265.55598pt.

[47 </Users/hongdali/Desktop/repos/Subspace_Projection_Method/thesis/lanczos_proj_on_ritz_float.png>] [48 </Users/hongdali/Desktop/repos/Subspace_Projection_Method/thesis/lanczos_proj_on_ritz_exact.png> </Users/hongdali/Desktop/repos/Subspace_Projection_Method/thesis/ritz_proj_tridiagonal.png>]

<floats_cg_on_exact_matrix.png, id=987, 2258.4375pt x 1505.625pt>

File: floats_cg_on_exact_matrix.png Graphic file (type png)

<use floats_cg_on_exact_matrix.png>

Package pdftex.def Info: floats_cg_on_exact_matrix.png used on input line 2072.

(pdftex.def) Requested size: 341.43306pt x 227.603pt.

<exact_cg_on_smeared_matrix.png, id=988, 2258.4375pt x 1505.625pt>

File: exact_cg_on_smeared_matrix.png Graphic file (type png)

<use exact_cg_on_smeared_matrix.png>

Package pdftex.def Info: exact_cg_on_smeared_matrix.png used on input line 2079.

(pdftex.def) Requested size: 341.43306pt x 227.603pt.

[49] [50 </Users/hongdali/Desktop/repos/Subspace_Projection_Method/thesis/floats_cg_on_exact_matrix.png> </Users/hongdali/Desktop/repos/Subspace_Projection_Method/thesis/exact_cg_on_smeared_matrix.png>] [51] [52] [53] [54] [55] (/Users/hongdali/Desktop/repos/Subspace_Projection_Method/thesis/thesis.aux)

Package rerunfilecheck Info: File `thesis.out' has not changed.

(rerunfilecheck) Checksum: 077B5097E9068BAD3655A01AEC100E5F;10477.

Package logreq Info: Writing requests to 'thesis.run.xml'.

\openout1 = `thesis.run.xml'.

)

Here is how much of TeX's memory you used:

22631 strings out of 478994

376358 string characters out of 5858183

1147403 words of memory out of 5000000

39242 multiletter control sequences out of 15000+600000

423092 words of font info for 77 fonts, out of 8000000 for 9000

1141 hyphenation exceptions out of 8191

81i,22n,117p,1603b,2009s stack positions out of 5000i,500n,10000p,200000b,80000s

{/usr/local/texlive/2021/texmf-dist/fonts/enc/dvips/cm-super/cm-super-t1.enc}</usr/local/texlive/2021/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi10.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi12.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi5.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi6.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi7.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi8.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/amsfonts/cm/cmr12.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/amsfonts/cm/cmr5.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/amsfonts/cm/cmr6.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/amsfonts/cm/cmr8.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy10.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy6.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy8.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/amsfonts/symbols/msbm10.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/cm-super/sfbx1200.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/cm-super/sfbx1440.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/cm-super/sfbx1728.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/cm-super/sfbx2488.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/cm-super/sfcc1200.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/cm-super/sfrm0600.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/cm-super/sfrm0700.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/cm-super/sfrm0800.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/cm-super/sfrm1000.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/cm-super/sfrm1200.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/cm-super/sfrm1440.pfb></usr/local/texlive/2021/texmf-dist/fonts/type1/public/cm-super/sfti1200.pfb>

Output written on /Users/hongdali/Desktop/repos/Subspace_Projection_Method/thesis/thesis.pdf (55 pages, 2077100 bytes).

PDF statistics:

1303 PDF objects out of 1440 (max. 8388607)

1187 compressed objects within 12 object streams

564 named destinations out of 1000 (max. 500000)

448 words of extra memory for PDF output out of 10000 (max. 10000000)