preamble.tex (10066B)
1 \documentclass[a4paper]{article} 2 3 \usepackage[T1]{fontenc} 4 \usepackage[utf8]{inputenc} 5 \usepackage{mlmodern} 6 7 %\usepackage{ngerman} % Sprachanpassung Deutsch 8 9 \usepackage{graphicx} 10 \usepackage{geometry} 11 \geometry{a4paper, top=15mm} 12 13 \usepackage{subcaption} 14 \usepackage[shortlabels]{enumitem} 15 \usepackage{amssymb} 16 \usepackage{amsthm} 17 \usepackage{amsmath} 18 \usepackage{mathtools} 19 \usepackage{braket} 20 \usepackage{bbm} 21 \usepackage{graphicx} 22 \usepackage{float} 23 \usepackage{yhmath} 24 \usepackage{tikz} 25 \usepackage{scratch} 26 \usetikzlibrary{patterns,decorations.pathmorphing,positioning} 27 \usetikzlibrary{calc,decorations.markings} 28 29 \usepackage[backend=biber, sorting=none]{biblatex} 30 \addbibresource{cite.bib} 31 32 \usepackage[framemethod=TikZ]{mdframed} 33 34 \tikzstyle{titlered} = 35 [draw=black, thick, fill=white,% 36 text=black, rectangle, 37 right, minimum height=.7cm] 38 39 40 \usepackage[colorlinks=true,naturalnames=true,plainpages=false,pdfpagelabels=true]{hyperref} 41 \usepackage[parfill]{parskip} 42 \usepackage{lipsum} 43 44 \usepackage{tcolorbox} 45 \tcbuselibrary{skins,breakable} 46 \pagestyle{myheadings} 47 \colorlet{colexam}{black} 48 \numberwithin{equation}{subsection} 49 50 \newcounter{definition} 51 \newtcolorbox[use counter=definition, number within=subsection]{mydef}[1]{ 52 empty, 53 title={\textbf{Definition~\thetcbcounter}~~(\textit{#1})}, 54 attach boxed title to top left, 55 fontupper=\sl, 56 boxed title style={ 57 empty, 58 size=minimal, 59 bottomrule=1pt, 60 top=1pt, 61 left skip=0cm, 62 overlay= 63 {\draw[colexam,line width=1pt]([yshift=-0.4cm]frame.north 64 west)--([yshift=-0.4cm]frame.north east);}}, 65 coltitle=colexam, 66 fonttitle=\normalfont, 67 before=\par\medskip\noindent, 68 parbox=false, 69 boxsep=-1pt, 70 left=0.75cm, 71 right=3mm, 72 top=4pt, 73 breakable, 74 pad at break*=0mm, 75 vfill before first, 76 overlay unbroken={ 77 \draw[colexam,line width=1pt] 78 ([xshift=0.6cm, yshift=-0.5pt]frame.south 79 west)--([xshift=0.6cm,yshift=0pt]frame.north west) 80 --([xshift=0.6cm]frame.south west)--([xshift=-13cm]frame.south east); }, 81 overlay first={ 82 \draw[colexam,line width=1pt] 83 ([xshift=0.6cm, yshift=-0.5pt]frame.south 84 west)--([xshift=0.6cm,yshift=-1pt]frame.north west) 85 --([xshift=0.6cm]frame.south west); }, 86 overlay last={ 87 \draw[colexam,line width=1pt] 88 ([xshift=0.6cm, yshift=-0.5pt]frame.south 89 west)--([xshift=0.6cm,yshift=-1pt]frame.north west) 90 --([xshift=0.6cm]frame.south west)--([xshift=-13cm]frame.south east); } 91 } 92 93 \newcounter{theorem} 94 \newtcolorbox[use counter=theorem, number within=subsection]{theorem}{ 95 empty, 96 title={\textbf{Theorem~\thetcbcounter}}, 97 attach boxed title to top left, 98 fontupper=\sl, 99 boxed title style={ 100 empty, 101 size=minimal, 102 bottomrule=1pt, 103 top=1pt, 104 left skip=0cm, 105 overlay= 106 {\draw[colexam,line width=1pt]([yshift=-0.35cm]frame.north 107 west)--([yshift=-0.35cm]frame.north east);}}, 108 coltitle=colexam, 109 fonttitle=\normalfont, 110 before=\par\medskip\noindent, 111 parbox=false, 112 boxsep=-1pt, 113 left=0.75cm, 114 right=3mm, 115 top=4pt, 116 breakable, 117 pad at break*=0mm, 118 vfill before first, 119 overlay unbroken={ 120 \draw[colexam,line width=1pt] 121 ([xshift=0.6cm, yshift=-0.5pt]frame.south 122 west)--([xshift=0.6cm,yshift=-1pt]frame.north west) 123 --([xshift=0.6cm]frame.south west)--([xshift=-13cm]frame.south east); }, 124 overlay first={ 125 \draw[colexam,line width=1pt] 126 ([xshift=0.6cm, yshift=-0.5pt]frame.south 127 west)--([xshift=0.6cm,yshift=-1pt]frame.north west) 128 --([xshift=0.6cm]frame.south west); }, 129 overlay last={ 130 \draw[colexam,line width=1pt] 131 ([xshift=0.6cm, yshift=-0.5pt]frame.south 132 west)--([xshift=0.6cm,yshift=-1pt]frame.north west) 133 --([xshift=0.6cm]frame.south west)--([xshift=-13cm]frame.south east); } 134 } 135 \newcounter{lemma} 136 \newtcolorbox[use counter=lemma, number within=subsection]{lemma}{ 137 empty, 138 title={Lemma~\thetcbcounter}, 139 attach boxed title to top left, 140 fontupper=\sl, 141 boxed title style={ 142 empty, 143 size=minimal, 144 bottomrule=1pt, 145 top=1pt, 146 left skip=0cm, 147 overlay= 148 {\draw[colexam,line width=1pt]([yshift=-0.35cm]frame.north 149 west)--([yshift=-0.35cm]frame.north east);}}, 150 coltitle=colexam, 151 fonttitle=\bfseries, 152 before=\par\medskip\noindent, 153 parbox=false, 154 boxsep=-1pt, 155 left=0.75cm, 156 right=3mm, 157 top=4pt, 158 breakable, 159 pad at break*=0mm, 160 vfill before first, 161 overlay unbroken={ 162 \draw[colexam,line width=1pt] 163 ([xshift=0.6cm, yshift=-0.5pt]frame.south 164 west)--([xshift=0.6cm,yshift=-1pt]frame.north west) 165 --([xshift=0.6cm]frame.south west)--([xshift=-13cm]frame.south east); }, 166 overlay first={ 167 \draw[colexam,line width=1pt] 168 ([xshift=0.6cm, yshift=-0.5pt]frame.south 169 west)--([xshift=0.6cm,yshift=-1pt]frame.north west) 170 --([xshift=0.6cm]frame.south west); }, 171 overlay last={ 172 \draw[colexam,line width=1pt] 173 ([xshift=0.6cm, yshift=-0.5pt]frame.south 174 west)--([xshift=0.6cm,yshift=-1pt]frame.north west) 175 --([xshift=0.6cm]frame.south west)--([xshift=-13cm]frame.south east); } 176 } 177 \newcounter{conjecture} 178 \newtcolorbox[use counter=conjecture, number within=subsection]{conjecture}{ 179 empty, 180 title={\textbf{Conjecture~\thetcbcounter}}, 181 attach boxed title to top left, 182 fontupper=\sl, 183 boxed title style={ 184 empty, 185 size=minimal, 186 bottomrule=1pt, 187 top=1pt, 188 left skip=0cm, 189 overlay= 190 {\draw[colexam,line width=1pt]([yshift=-0.4cm]frame.north 191 west)--([yshift=-0.4cm]frame.north east);}}, 192 coltitle=colexam, 193 fonttitle=\normalfont, 194 before=\par\medskip\noindent, 195 parbox=false, 196 boxsep=-1pt, 197 left=0.75cm, 198 right=3mm, 199 top=4pt, 200 breakable, 201 pad at break*=0mm, 202 vfill before first, 203 overlay unbroken={ 204 \draw[colexam,line width=1pt] 205 ([xshift=0.6cm, yshift=-0.5pt]frame.south 206 west)--([xshift=0.6cm,yshift=-1pt]frame.north west) 207 --([xshift=0.6cm]frame.south west)--([xshift=-13cm]frame.south east); }, 208 overlay first={ 209 \draw[colexam,line width=1pt] 210 ([xshift=0.6cm, yshift=-0.5pt]frame.south 211 west)--([xshift=0.6cm,yshift=-1pt]frame.north west) 212 --([xshift=0.6cm]frame.south west); }, 213 overlay last={ 214 \draw[colexam,line width=1pt] 215 ([xshift=0.6cm, yshift=-0.5pt]frame.south 216 west)--([xshift=0.6cm,yshift=-1pt]frame.north west) 217 --([xshift=0.6cm]frame.south west)--([xshift=-13cm]frame.south east); } 218 } 219 \newcounter{myproof} 220 \newtcolorbox[]{myproof}[1]{ 221 empty, 222 title={\textbf{Proof}~\textit{#1}}, 223 attach boxed title to top left, 224 fontupper=\sl, 225 boxed title style={ 226 empty, 227 size=minimal, 228 bottomrule=1pt, 229 top=1pt, 230 left skip=0cm, 231 overlay= 232 {\draw[colexam,line width=1pt]([yshift=-0.35cm]frame.north 233 west)--([yshift=-0.35cm]frame.north east);}}, 234 coltitle=colexam, 235 fonttitle=\normalfont, 236 before=\par\medskip\noindent, 237 parbox=false, 238 boxsep=-1pt, 239 left=0.75cm, 240 right=3mm, 241 top=4pt, 242 breakable, 243 pad at break*=0mm, 244 vfill before first, 245 overlay unbroken={ 246 \draw[colexam,line width=1pt] 247 ([xshift=0.6cm, yshift=-0.5pt]frame.south 248 west)--([xshift=0.6cm,yshift=-1pt]frame.north west) 249 --([xshift=0.6cm]frame.south west)--([xshift=-13cm]frame.south east); }, 250 overlay first={ 251 \draw[colexam,line width=1pt] 252 ([xshift=0.6cm, yshift=-0.5pt]frame.south 253 west)--([xshift=0.6cm,yshift=-1pt]frame.north west) 254 --([xshift=0.6cm]frame.south west); }, 255 overlay last={ 256 \draw[colexam,line width=1pt] 257 ([xshift=0.6cm, yshift=-0.5pt]frame.south 258 west)--([xshift=0.6cm,yshift=-1pt]frame.north west) 259 --([xshift=0.6cm]frame.south west)--([xshift=-13cm]frame.south east); 260 \draw[colexam,line width=0.5pt] 261 ([xshift=-1.5cm,yshift=0.5cm]frame.south east) 262 --([xshift=-1.25cm, yshift=0.5cm]frame.south east) 263 --([xshift=-1.25cm, yshift=0.25cm]frame.south east) 264 --([xshift=-1.5cm, yshift=0.25cm]frame.south east) 265 --([xshift=-1.5cm, yshift=0.5cm]frame.south east); 266 } 267 } 268 269 \newcommand{\eps}{\varepsilon} 270 \usepackage[OT2,T1]{fontenc} 271 \DeclareSymbolFont{cyrletters}{OT2}{wncyr}{m}{n} 272 \DeclareMathSymbol{\Sha}{\mathalpha}{cyrletters}{"58} 273 274 \markright{Popović\hfill Seminar\hfill} 275 276 277 \title{University of Vienna\\ 278 \vspace{1cm}Seminar:\\Joint RICAM Seminar\\ 279 \vspace{0.5cm} 280 Summary of talk by Otmar Scherzer\\ 281 \vspace{0.5cm} 282 Gauss-Newton method for solving linear inverse problems with neural network 283 coders 284 } 285 \author{Milutin Popovic}