Mercurial > repos > non-riemannian-opt / file comparison
comparison: doc/symbols.tex
doc/symbols.tex
- changeset 59
- 743984f4664e
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| 58:2a86c4c98622 | 59:743984f4664e |
|---|---|
| 1 \newcommand{\term}{\emph} | |
| 2 | |
| 3 \newcommand{\field}[1]{\mathbb{#1}} | |
| 4 \newcommand{\N}{\mathbb{N}} | |
| 5 \newcommand{\Z}{\mathbb{Z}} | |
| 6 \newcommand{\Q}{\field{Q}} | |
| 7 \newcommand{\R}{\field{R}} | |
| 8 \newcommand{\extR}{\overline \R} | |
| 9 \newcommand{\Complex}{\field{C}} | |
| 10 \newcommand{\B}{\mathbb{B}} | |
| 11 \newcommand{\OB}{\mathbb{O}} | |
| 12 %\newcommand{\UU}{\mathbb{U}} | |
| 13 % Trust regions are just normal balls. | |
| 14 \let\UU\B | |
| 15 \newcommand{\norm}[1]{\|#1\|} | |
| 16 \newcommand{\adaptnorm}[1]{\left\|#1\right\|} | |
| 17 \newcommand{\bignorm}[1]{\bigl\|#1\bigr\|} | |
| 18 \newcommand{\Bignorm}[1]{\Bigl\|#1\Bigr\|} | |
| 19 \newcommand{\abs}[1]{|#1|} | |
| 20 \newcommand{\adaptabs}[1]{\left|#1\right|} | |
| 21 \newcommand{\bigabs}[1]{\bigl|#1\bigr|} | |
| 22 \newcommand{\inv}[1]{#1^{-1}} | |
| 23 \newcommand{\grad}{\nabla} | |
| 24 \newcommand{\freevar}{\,\boldsymbol\cdot\,} | |
| 25 \newcommand{\Union}\bigcup | |
| 26 \newcommand{\Isect}\bigcap | |
| 27 \newcommand{\union}\cup | |
| 28 \newcommand{\isect}\cap | |
| 29 \newcommand{\bigunion}\bigcup | |
| 30 \newcommand{\bigisect}\bigcap | |
| 31 \newcommand{\powerset}{\mathcal{P}} | |
| 32 \newcommand{\defeq}{:=} | |
| 33 \newcommand{\set}[1]{\{#1\}} | |
| 34 \newcommand{\downto}{\searrow} | |
| 35 \newcommand{\upto}{\nearrow} | |
| 36 \newcommand{\subdiff}{\partial} | |
| 37 \newcommand{\pinv}[1]{#1^\dag} | |
| 38 \newcommand{\overbar}[1]{\mkern 1.5mu\overline{\mkern-1.5mu#1\mkern-1.5mu}\mkern 1.5mu} | |
| 39 | |
| 40 \DeclareMathOperator*{\lip}{lip} | |
| 41 \DeclareMathOperator*{\argmin}{arg\,min} | |
| 42 \DeclareMathOperator*{\argmax}{arg\,max} | |
| 43 \DeclareMathOperator{\interior}{int} | |
| 44 \DeclareMathOperator{\ri}{ri} | |
| 45 \DeclareMathOperator{\rbd}{rbd} | |
| 46 \DeclareMathOperator{\closure}{cl} | |
| 47 \DeclareMathOperator{\bd}{bd} | |
| 48 \DeclareMathOperator{\sign}{sign} | |
| 49 \DeclareMathOperator{\Sign}{Sign} | |
| 50 \DeclareMathOperator{\rank}{rank} | |
| 51 \DeclareMathOperator{\range}{ran} | |
| 52 \DeclareMathOperator{\dom}{dom} | |
| 53 \DeclareMathOperator{\cod}{cod} | |
| 54 \DeclareMathOperator{\lev}{lev} | |
| 55 \DeclareMathOperator{\conv}{conv} | |
| 56 \DeclareMathOperator{\diam}{diam} | |
| 57 \DeclareMathOperator{\epi}{epi} | |
| 58 \DeclareMathOperator{\tr}{tr} | |
| 59 \DeclareMathOperator{\diag}{diag} | |
| 60 \DeclareMathOperator{\graph}{graph} | |
| 61 \DeclareMathOperator{\cond}{cond} | |
| 62 \DeclareMathOperator{\esssup}{ess\,sup} | |
| 63 \DeclareMathOperator{\support}{supp} | |
| 64 \DeclareMathOperator{\divergence}{div} | |
| 65 \DeclareMathOperator{\Id}{Id} | |
| 66 \DeclareMathOperator{\dist}{dist} | |
| 67 \DeclareMathOperator{\Sym}{Sym} | |
| 68 \DeclareMathOperator{\prox}{prox} | |
| 69 \DeclareMathOperator{\gdesc}{g-desc} | |
| 70 \DeclareMathOperator{\gexp}{g-exp} | |
| 71 \DeclareMathOperator{\desc}{desc} | |
| 72 | |
| 73 \newcommand{\mathvar}[1]{\textup{#1}} | |
| 74 | |
| 75 \newcommand{\iprod}[2]{\langle #1,#2\rangle} | |
| 76 %\newcommand{\dualprod}[2]{\langle #1 | #2\rangle} | |
| 77 \newcommand{\dualprod}[2]{\langle #1,#2\rangle} | |
| 78 \newcommand{\adaptiprod}[2]{\left\langle #1,#2\right\rangle} | |
| 79 | |
| 80 \newcommand{\weakto}{\mathrel{\rightharpoonup}} | |
| 81 %\makeatletter | |
| 82 \def \weaktostarSym{\setbox0=\hbox{$\rightharpoonup$}\rlap{\hbox | |
| 83 to\wd0{\hss\raise1ex\hbox{$\scriptscriptstyle{*\,}$}\hss}}\box0} | |
| 84 \def \weaktostar {\mathrel{\weaktostarSym}} | |
| 85 %\makeatother | |
| 86 | |
| 87 \newcommand{\setto}{\rightrightarrows} | |
| 88 | |
| 89 \def\opt#1{\bar #1} | |
| 90 \def\realopt#1{\widehat #1} | |
| 91 \def\dir#1{\Delta #1} | |
| 92 \def\alt#1{\tilde #1} | |
| 93 \def\altalt#1{#1'} | |
| 94 \def\this#1{#1^k} | |
| 95 \def\nexxt#1{#1^{k+1}} | |
| 96 \def\overnext#1{\bar #1^{k+1}} | |
| 97 \def\prev#1{#1^{k-1}} | |
| 98 \def\thisstar#1{#1^k^*} | |
| 99 \def\nextstar#1{#1^{k+1}^*} | |
| 100 \def\optstar#1{\opt{#1}^*} | |
| 101 \def\realoptstar#1{\realopt{#1}^*} | |
| 102 | |
| 103 \def\optu{{\opt{u}}} | |
| 104 \def\optv{{\opt{v}}} | |
| 105 \def\optw{{\opt{w}}} | |
| 106 \def\optx{{\opt{x}}} | |
| 107 \def\opty{{\opt{y}}} | |
| 108 \def\optz{{\opt{z}}} | |
| 109 | |
| 110 \def\realoptu{{\realopt{u}}} | |
| 111 \def\realoptv{{\realopt{v}}} | |
| 112 \def\realoptw{{\realopt{w}}} | |
| 113 \def\realoptx{{\realopt{x}}} | |
| 114 \def\realopty{{\realopt{y}}} | |
| 115 \def\realoptz{{\realopt{z}}} | |
| 116 | |
| 117 \def\nextu{\nexxt{u}} | |
| 118 \def\nextv{\nexxt{v}} | |
| 119 \def\nextw{\nexxt{w}} | |
| 120 \def\nextx{\nexxt{x}} | |
| 121 \def\nexty{\nexxt{y}} | |
| 122 \def\nextz{\nexxt{z}} | |
| 123 | |
| 124 \def\thisu{\this{u}} | |
| 125 \def\thisv{\this{v}} | |
| 126 \def\thisw{\this{w}} | |
| 127 \def\thisx{\this{x}} | |
| 128 \def\thisy{\this{y}} | |
| 129 \def\thisz{\this{z}} | |
| 130 | |
| 131 \def\prevu{\prev{u}} | |
| 132 \def\prevv{\prev{v}} | |
| 133 \def\prevw{\prev{w}} | |
| 134 \def\prevx{\prev{x}} | |
| 135 \def\prevy{\prev{y}} | |
| 136 \def\prevz{\prev{z}} | |
| 137 | |
| 138 \def\overnextu{\overnext{u}} | |
| 139 \def\overnextx{\overnext{x}} | |
| 140 | |
| 141 \def\d{\,\mathrm{d}} | |
| 142 | |
| 143 \let\altphi\phi | |
| 144 \let\phi\varphi | |
| 145 \let\altepsilon\epsilon | |
| 146 \let\epsilon\varepsilon | |
| 147 | |
| 148 \newcommand{\frechetNormal}{\widehat N} | |
| 149 \newcommand{\frechetCod}{\widehat D^*} | |
| 150 \newcommand{\clarkeTangent}{\widehat T} | |
| 151 \newcommand{\clarkeGD}{\widehat D} | |
| 152 \newcommand{\coderivative}{D^*} | |
| 153 \newcommand{\polar}[1]{#1^{\circ}} | |
| 154 \newcommand{\bipolar}[1]{#1^{\circ\circ}} | |
| 155 \newcommand{\upperadj}[1]{#1^{\circ+}} | |
| 156 \newcommand{\loweradj}[1]{#1^{\circ-}} | |
| 157 | |
| 158 \def\invstar#1{{#1}^{-1,*}} | |
| 159 \def\pinvstar#1{{#1}^{\dagger*}} | |
| 160 \def\starpinv#1{{#1}^{*\dagger}} | |
| 161 | |
| 162 \def\linear{\mathbb{L}} | |
| 163 | |
| 164 \def\QL{\mathop{QL}\nolimits} | |
| 165 | |
| 166 \def\lebesgue{\mathcal{L}} |
