dmvnbase.sty

\ProvidesPackage{dmvnbase}[2016/01/08 v1.38 DMVN Base LaTeX Package]
\RequirePackage{amssymb,amsmath,mathrsfs,mathtools}

% ===============================================================
% DMVN Local Coordinates
% ===============================================================
\newcommand{\dmvnwebsite}{\texttt{http:/\kern-.1em/dmvn.mexmat.net}}
\newcommand{\dmvnwebsitemirror}{\texttt{http:/\kern-.1em/dmvn.mexmat.ru}}
\newcommand{\dmvnmail}{\texttt{dmvn@mccme.ru}}

%===========================
% here is cp1251 encoding
%===========================

% right hyphen rules

%\hyphenation{ес-ли}
%\hyphenation{СССР МЦНМО РФФИ ГИБДД}

% ===============================================================
% Algebraic operators
% ===============================================================
\DeclareMathOperator{\Ad}{Ad}
\DeclareMathOperator{\Ann}{Ann}
\DeclareMathOperator{\Arg}{Arg}
\DeclareMathOperator{\area}{area}
\DeclareMathOperator{\arsh}{arsh}
\DeclareMathOperator{\Aut}{Aut}
\DeclareMathOperator{\Card}{Card}
\DeclareMathOperator{\Char}{char}
\DeclareMathOperator{\Cl}{Cl}
\DeclareMathOperator{\codim}{codim}
\DeclareMathOperator{\Coim}{Coim}
\DeclareMathOperator{\Com}{Com}
\DeclareMathOperator{\const}{const}
\DeclareMathOperator{\conv}{conv}
\DeclareMathOperator{\Corr}{corr}
\DeclareMathOperator{\cov}{cov}
\DeclareMathOperator{\diag}{diag}
\DeclareMathOperator{\diam}{diam}
\DeclareMathOperator{\dist}{dist}
\DeclareMathOperator{\Div}{div}
\DeclareMathOperator{\Dom}{Dom}
\DeclareMathOperator{\dom}{dom}
\DeclareMathOperator{\grad}{grad}
\DeclareMathOperator{\Graph}{Graph}
\DeclareMathOperator{\GCD}{\mathrm{НОД}}
\DeclareMathOperator{\End}{End}
\DeclareMathOperator{\extr}{extr}
\DeclareMathOperator{\epig}{epi}
\DeclareMathOperator{\Hom}{Hom}
\DeclareMathOperator{\id}{id}
\renewcommand{\Im}{\mathop{\mathrm{Im}}}
\DeclareMathOperator{\Img}{Im}
\DeclareMathOperator{\ind}{ind}
\DeclareMathOperator{\Int}{Int}
\DeclareMathOperator{\Inn}{Inn}
\DeclareMathOperator{\Isom}{Isom}
\DeclareMathOperator{\Ker}{Ker}
\DeclareMathOperator{\Law}{Law}
\DeclareMathOperator{\LCM}{\mathrm{НОК}}
\DeclareMathOperator{\Lin}{Lin}
\DeclareMathOperator{\Ln}{Ln}
\DeclareMathOperator{\mes}{mes}
\DeclareMathOperator{\Mat}{Mat}
\DeclareMathOperator{\Orb}{Orb}
\DeclareMathOperator{\ord}{ord}
\DeclareMathOperator{\Out}{Out}
\DeclareMathOperator{\Prj}{Pr}
\DeclareMathOperator{\Pin}{Pin}
\DeclareMathOperator{\Quot}{Quot}
\DeclareMathOperator{\Ran}{Ran}
\renewcommand{\Re}{\mathop{\mathrm{Re}}}
\DeclareMathOperator{\Rea}{Re}
\DeclareMathOperator*{\res}{res}
\DeclareMathOperator{\rk}{rk}
\DeclareMathOperator{\rot}{rot}
\DeclareMathOperator{\sgn}{sgn}
\DeclareMathOperator{\Si}{Si}
\DeclareMathOperator{\Spec}{Spec}
\DeclareMathOperator{\Spin}{Spin}
\DeclareMathOperator{\St}{St}
\DeclareMathOperator{\supp}{supp}
\DeclareMathOperator{\Tor}{Tor}
\DeclareMathOperator{\tr}{tr}
\DeclareMathOperator{\vp}{v.p.}
\DeclareMathOperator{\Var}{Var}

% Tangens hyperbolici
\renewcommand{\tanh}{\mathop{\mathrm{th}}}

% ===============================================================
% Matrices
% ===============================================================
\newcommand{\mat}[1]{\begin{matrix}#1\end{matrix}}                                      %   a
\newcommand{\rbmat}[1]{\begin{pmatrix}#1\end{pmatrix}}                                  %  (a)
\newcommand{\sbmat}[1]{\begin{bmatrix}#1\end{bmatrix}}                                  %  [a]
\newcommand{\cbmat}[1]{\begin{Bmatrix}#1\end{Bmatrix}}                                  %  {a}
\newcommand{\mbmat}[1]{\begin{vmatrix}#1\end{vmatrix}}                                  %  |a|
\newcommand{\nbmat}[1]{\begin{Vmatrix}#1\end{Vmatrix}}                                  % ||a||
\newcommand{\rcmat}[1]{\left.\mat{#1}\right\}}                                          %   a}
\newcommand{\lcmat}[1]{\left\{\mat{#1}\right.}                                          %  {a

% ===============================================================
% Common usage environments
% ===============================================================
\newcommand{\tab}[2]{\begin{tabular}{#1}#2\end{tabular}}
\newcommand{\ctab}[2]{\cent{\begin{tabular}{#1}#2\end{tabular}}}
\newcommand{\case}[1]{\begin{cases}#1\end{cases}}
\newcommand{\cent}[1]{\begin{center} #1 \end{center}}
\newcommand{\eqn}[1]{\begin{equation}#1\end{equation}}
\newcommand{\equ}[1]{\begin{equation*}#1\end{equation*}}
\newcommand{\mln}[1]{\begin{multline}#1\end{multline}}
\newcommand{\mla}[2]{{\renewcommand{\theequation}{$#1$}\begin{multline}#2\end{multline}}}
\newcommand{\ml}[1]{\begin{multline*}#1\end{multline*}}
\newcommand{\eqa}[2]{\begin{equation}\renewcommand{\theequation}{$#1$}#2\end{equation}}

\newcommand{\bcase}[1]{\left\{\begin{aligned}#1\end{aligned}\right.}                   % big equation system
\newcommand{\eqb}[1]{\eqn{\left\{\begin{aligned}#1\end{aligned}\right.}}

% binary relation wrapper
\newcommand*{\bw}[1]{#1\nobreak\discretionary{}{\hbox{$\mathsurround=0pt #1$}}{}}

% Picture right side insertion
% These commands are obsolete, you should not use them
% You should not use them in the new documents
\newcommand{\rightfloatingbox}[1]{\vbox to 0pt {\hbox to \textwidth{\hfil{#1}}\vss}}
\newcommand{\rightpicture}[1]{\rightfloatingbox{\epsfbox{#1}}}

% Advanced Pictures Engine -----------------------------------------------------------------------------------------
% Declare a box for picture measuring
\newbox\dmvnpicbox
% Dimension measuring the space between the picture and the text
\newdimen\dmvnpicborder\dmvnpicborder=1pc

\def\dmvnpicmbox#1{\epsfbox{#1}}

% This command provides text hanging on the right side
\def\dmvnpicrh#1#2{\setbox\dmvnpicbox\hbox{\kern\dmvnpicborder\dmvnpicmbox{#1}}%
\hangindent=-\wd\dmvnpicbox%
\hangafter=#2}%

% And this - on the left side
\def\dmvnpiclh#1#2{\setbox\dmvnpicbox\hbox{\dmvnpicmbox{#1}\hskip\dmvnpicborder}
\hangindent=\wd\dmvnpicbox
\hangafter=#2}

% Internal command
\def\dmvnpic#1#2{\hbox{\vbox{\footnotesize\normalfont\halign{\hfil##\hfil\cr\dmvnpicmbox{#1}\cr\noalign{\medskip}Рис.~#2\cr}}}}

\def\dmvnpicr#1#2{\vadjust{\vbox to 0pt{\kern\dmvnpicborder\hfill\dmvnpic{#1}{#2}\vss}}}
\def\dmvnpicra#1#2#3{\vadjust{\vbox to 0pt{\kern\dmvnpicborder\kern#3\hfill\dmvnpic{#1}{#2}\vss}}}
\def\dmvnpicl#1#2{\vadjust{\vbox to 0pt{\kern\dmvnpicborder\dmvnpic{#1}{#2}\hfill\vss}}}
\def\dmvnpicla#1#2#3{\vadjust{\vbox to 0pt{\kern\dmvnpicborder\kern#3\dmvnpic{#1}{#2}\hfill\vss}}}
% E.O.F. Advanced Pictures Engine ----------------------------------------------------------------------------------

% number with circle as superscript
\newcommand{\pt}[1]{$\mathbf{#1}^\circ$}

% environment with variable \itemsep parameter

\newenvironment{nums}[1]
{\begin{enumerate}
\setlength\itemsep{#1pt}}
{\end{enumerate}}

\newenvironment{items}[1]
{\begin{itemize}
\setlength\itemsep{#1pt}}
{\end{itemize}}

\newenvironment{points}[1]
{\begin{nums}{#1}
\renewcommand{\theenumi}{\pt{\arabic{enumi}}}
\renewcommand{\labelenumi}{\theenumi}}
{\end{nums}}


% ===============================================================
% Font: Bold Small Letters
% ===============================================================
\newcommand{\db}{\mathbf{d}}                                          % d bold
\newcommand{\ib}{\mathbf{i}}                                          % i bold
\newcommand{\jb}{\mathbf{j}}                                          % j bold
\newcommand{\kb}{\mathbf{k}}                                          % k bold
\newcommand{\nb}{\mathbf{n}}                                          % n bold
\newcommand{\rb}{\mathbf{r}}                                          % r bold

% ===============================================================
% Font: Bold Letters
% ===============================================================
\newcommand{\Ab}{\mathbf{A}}
\newcommand{\Bb}{\mathbf{B}}
\newcommand{\Cb}{\mathbf{C}}
\newcommand{\Db}{\mathbf{D}}
\newcommand{\Eb}{\mathbf{E}}
\newcommand{\Fb}{\mathbf{F}}
\newcommand{\Gb}{\mathbf{G}}
\newcommand{\Hb}{\mathbf{H}}
\newcommand{\Ib}{\mathbf{I}}
\newcommand{\Jb}{\mathbf{J}}
\newcommand{\Kb}{\mathbf{K}}
\newcommand{\Lb}{\mathbf{L}}
\newcommand{\Mb}{\mathbf{M}}
\newcommand{\Nb}{\mathbf{N}}
\newcommand{\Ob}{\mathbf{O}}
\newcommand{\Pb}{\mathbf{P}}
\newcommand{\Qb}{\mathbf{Q}}
\newcommand{\Rb}{\mathbf{R}}
\newcommand{\Sb}{\mathbf{S}}
\newcommand{\Tb}{\mathbf{T}}
\newcommand{\Ub}{\mathbf{U}}
\newcommand{\Vb}{\mathbf{V}}
\newcommand{\Wb}{\mathbf{W}}
\newcommand{\Xb}{\mathbf{X}}
\newcommand{\Yb}{\mathbf{Y}}
\newcommand{\Zb}{\mathbf{Z}}

% ===============================================================
% Font: Calligraphic Letters
% ===============================================================
\newcommand{\Ac}{\mathcal{A}}
\newcommand{\Bc}{\mathcal{B}}
\newcommand{\Cc}{\mathcal{C}}
\newcommand{\Dc}{\mathcal{D}}
\newcommand{\Ec}{\mathcal{E}}
\newcommand{\Fc}{\mathcal{F}}
\newcommand{\Gc}{\mathcal{G}}
\newcommand{\Hc}{\mathcal{H}}
\newcommand{\Ic}{\mathcal{I}}
\newcommand{\Jc}{\mathcal{J}}
\newcommand{\Kc}{\mathcal{K}}
\newcommand{\Lc}{\mathcal{L}}
\newcommand{\Mc}{\mathcal{M}}
\newcommand{\Nc}{\mathcal{N}}
\newcommand{\Oc}{\mathcal{O}}
\newcommand{\Pc}{\mathcal{P}}
\newcommand{\Qc}{\mathcal{Q}}
\newcommand{\Rc}{\mathcal{R}}
\newcommand{\Sc}{\mathcal{S}}
\newcommand{\Tc}{\mathcal{T}}
\newcommand{\Uc}{\mathcal{U}}
\newcommand{\Vc}{\mathcal{V}}
\newcommand{\Wc}{\mathcal{W}}
\newcommand{\Xc}{\mathcal{X}}
\newcommand{\Yc}{\mathcal{Y}}
\newcommand{\Zc}{\mathcal{Z}}

% ===============================================================
% Font: Script Letters
% ===============================================================
\newcommand{\As}{\mathscr{A}}
\newcommand{\Bs}{\mathscr{B}}
\newcommand{\Cs}{\mathscr{C}}
\newcommand{\Ds}{\mathscr{D}}
\newcommand{\Es}{\mathscr{E}}
\newcommand{\Fs}{\mathscr{F}}
\newcommand{\Gs}{\mathscr{G}}
\newcommand{\Hs}{\mathscr{H}}
\newcommand{\Is}{\mathscr{I}}
\newcommand{\Js}{\mathscr{J}}
\newcommand{\Ks}{\mathscr{K}}
\newcommand{\Ls}{\mathscr{L}}
\newcommand{\Ms}{\mathscr{M}}
\newcommand{\Ns}{\mathscr{N}}
\newcommand{\Os}{\mathscr{O}}
\newcommand{\Ps}{\mathscr{P}}
\newcommand{\Qs}{\mathscr{Q}}
\newcommand{\Rs}{\mathscr{R}}
\newcommand{\Ss}{\mathscr{S}}
\newcommand{\Ts}{\mathscr{T}}
\newcommand{\Us}{\mathscr{U}}
\newcommand{\Vs}{\mathscr{V}}
\newcommand{\Ws}{\mathscr{W}}
\newcommand{\Xs}{\mathscr{X}}
\newcommand{\Ys}{\mathscr{Y}}
\newcommand{\Zs}{\mathscr{Z}}

% ===============================================================
% Font: Sans Letters
% ===============================================================
\newcommand{\Af}{\mathsf{A}}
\newcommand{\Bf}{\mathsf{B}}
\newcommand{\Cf}{\mathsf{C}}
\newcommand{\Df}{\mathsf{D}}
\newcommand{\Ef}{\mathsf{E}}
\newcommand{\Ff}{\mathsf{F}}
\newcommand{\Gf}{\mathsf{G}}
\newcommand{\Hf}{\mathsf{H}}
\newcommand{\If}{\mathsf{I}}
\newcommand{\Jf}{\mathsf{J}}
\newcommand{\Kf}{\mathsf{K}}
\newcommand{\Lf}{\mathsf{L}}
\newcommand{\Mf}{\mathsf{M}}
\newcommand{\Nf}{\mathsf{N}}
\newcommand{\Of}{\mathsf{O}}
\newcommand{\Pf}{\mathsf{P}}
\newcommand{\Qf}{\mathsf{Q}}
\newcommand{\Rf}{\mathsf{R}}
\newcommand{\Sf}{\mathsf{S}}
\newcommand{\Tf}{\mathsf{T}}
\newcommand{\Uf}{\mathsf{U}}
\newcommand{\Vf}{\mathsf{V}}
\newcommand{\Wf}{\mathsf{W}}
\newcommand{\Xf}{\mathsf{X}}
\newcommand{\Yf}{\mathsf{Y}}
\newcommand{\Zf}{\mathsf{Z}}

% ===============================================================
% Font: Gothic Letters
% ===============================================================
\newcommand{\Ag}{\mathfrak{A}}
\newcommand{\Bg}{\mathfrak{B}}
\newcommand{\Cg}{\mathfrak{C}}
\newcommand{\Dg}{\mathfrak{D}}
\newcommand{\Eg}{\mathfrak{E}}
\newcommand{\Fg}{\mathfrak{F}}
\newcommand{\Gg}{\mathfrak{G}}
\newcommand{\Hg}{\mathfrak{H}}
\newcommand{\Ig}{\mathfrak{I}}
\newcommand{\Jg}{\mathfrak{J}}
\newcommand{\Kg}{\mathfrak{K}}
\newcommand{\Lg}{\mathfrak{L}}
\newcommand{\Mg}{\mathfrak{M}}
\newcommand{\Ng}{\mathfrak{N}}
\newcommand{\Og}{\mathfrak{O}}
\newcommand{\Pg}{\mathfrak{P}}
\newcommand{\Qg}{\mathfrak{Q}}
\newcommand{\Rg}{\mathfrak{R}}
\newcommand{\Sg}{\mathfrak{S}}
\newcommand{\Tg}{\mathfrak{T}}
\newcommand{\Ug}{\mathfrak{U}}
\newcommand{\Vg}{\mathfrak{V}}
\newcommand{\Wg}{\mathfrak{W}}
\newcommand{\Xg}{\mathfrak{X}}
\newcommand{\Yg}{\mathfrak{Y}}
\newcommand{\Zg}{\mathfrak{Z}}

% ===============================================================
% Letters: Special Math
% ===============================================================
\newcommand{\A}{\mathbb{A}}
\newcommand{\B}{\mathbb{B}}
\newcommand{\Cbb}{\mathbb{C}}
\newcommand{\Ebb}{\mathbb{E}}
\newcommand{\F}{\mathbb{F}}
\newcommand{\Hbb}{\mathbb{H}}
\newcommand{\Ibb}{\mathbb{I}}
\newcommand{\K}{\mathbb{K}}
\newcommand{\Lbb}{\mathbb{L}}
\newcommand{\N}{\mathbb{N}}
\newcommand{\Q}{\mathbb{Q}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\Sbb}{\mathbb{S}}
\newcommand{\T}{\mathbb{T}}
\newcommand{\Z}{\mathbb{Z}}

% ===============================================================
% Groups and Function Classes
% ===============================================================
\newcommand{\LR}{\mathbf{L_R}}                                                          % LR class
\newcommand{\LRp}{\mathbf{L_R^p}}                                                       % LR-p class
\newcommand{\SegC}{\mathbf{SegC}}                                                       % Seg-continuous n-th derivative
\newcommand{\LocR}{\mathbf{LocR}}                                                       % Riemann local-integrated
\newcommand{\RP}{\mathbb{R}\mathrm{P}}                                                  % Real projective space RP
\newcommand{\CP}{\mathbb{C}\mathrm{P}}                                                  % Complex projective space RP
\newcommand{\AC}{\mathbf{AC}}                                                           % Absolute-continious
\newcommand{\VB}{\mathbf{VB}}                                                           % Variation bounded

\newcommand{\GA}{\mathbf{GA}}
\newcommand{\GL}{\mathbf{GL}}
\newcommand{\PGL}{\mathbf{PGL}}
\newcommand{\PSL}{\mathbf{PSL}}
\newcommand{\SO}{\mathbf{SO}}
\newcommand{\Sp}{\mathbf{Sp}}
\newcommand{\SU}{\mathbf{SU}}
\newcommand{\SL}{\mathbf{SL}}
\newcommand{\UT}{\mathbf{UT}}

\newcommand{\ggt}{\mathfrak{g}}
\newcommand{\hgt}{\mathfrak{h}}
\newcommand{\slg}{\mathfrak{sl}}
\newcommand{\glg}{\mathfrak{gl}}
\newcommand{\sog}{\mathfrak{so}}
\newcommand{\spg}{\mathfrak{sp}}

% ===============================================================
% Reductions: Greek Letters
% ===============================================================
\newcommand{\al}{\alpha}
\newcommand{\be}{\beta}
\newcommand{\Be}{\mathrm{B}}
\newcommand{\ga}{\gamma}
\newcommand{\Ga}{\Gamma}
\newcommand{\de}{\delta}
\newcommand{\De}{\Delta}
\newcommand{\ep}{\varepsilon}
\newcommand{\ka}{\varkappa}
\newcommand{\la}{\lambda}
\newcommand{\La}{\Lambda}
\newcommand{\si}{\sigma}
\newcommand{\Sig}{\Sigma}
\newcommand{\om}{\omega}
\newcommand{\Om}{\Omega}
\newcommand{\ph}{\varphi}
\newcommand{\Ph}{\Phi}
\newcommand{\rh}{\rho}
\newcommand{\ta}{\theta}
\newcommand{\Ta}{\Theta}
\newcommand{\ze}{\zeta}

\newcommand{\nab}{\nabla}

% ===============================================================
% Braces
% ===============================================================
\newcommand{\nn}[1]{\|#1\|}                                                             % norm, normal size
\newcommand{\nc}[1]{\{#1\}}                                                             % calligraphic, normal size

\newcommand{\hr}[1]{\left(#1\right)}                                                    % round, aligned
\newcommand{\hm}[1]{\left|#1\right|}                                                    % modulo, aligned
\newcommand{\hn}[1]{\left\|#1\right\|}                                                  % norm, aligned
\newcommand{\ha}[1]{\left\langle#1\right\rangle}                                        % angle, aligned
\newcommand{\hce}[1]{\left\lceil#1\right\rceil}                                         % ceil, aligned
\newcommand{\hfl}[1]{\left\lfloor#1\right\rfloor}                                       % floor, aligned
\newcommand{\hs}[1]{\left[#1\right]}                                                    % square, aligned
\newcommand{\hc}[1]{\left\{#1\right\}}                                                  % calligraphic, aligned
\newcommand{\hrs}[1]{\left(#1\right]}                                                   % round/sqaure, aligned
\newcommand{\hsr}[1]{\left[#1\right)}                                                   % square/round, aligned
% ---------------------------------------------------------------
\newcommand{\br}[1]{\bigl(#1\bigr)}                                                     % round, big
\newcommand{\bm}[1]{\bigl|#1\bigr|}                                                     % modulo, big
\newcommand{\bn}[1]{\bigl\|#1\bigr\|}                                                   % norm, big
\newcommand{\ba}[1]{\bigl\langle#1\bigr\rangle}                                         % angle, big
\newcommand{\bce}[1]{\bigl\lceil#1\bigr\rceil}                                          % ceil, big
\newcommand{\bfl}[1]{\bigl\lfloor#1\bigr\rfloor}                                        % floor, big
\newcommand{\bs}[1]{\bigl[#1\bigr]}                                                     % square, big
\newcommand{\bc}[1]{\bigl\{#1\bigr\}}                                                   % calligraphic, big
\newcommand{\brs}[1]{\bigl(#1\bigr]}                                                    % round/square, big
\newcommand{\bsr}[1]{\bigl[#1\bigr)}                                                    % square/round, big
% ---------------------------------------------------------------
\newcommand{\Br}[1]{\Bigl(#1\Bigr)}                                                     % round, Big
\newcommand{\Bm}[1]{\Bigl|#1\Bigr|}                                                     % modulo, Big
\newcommand{\Bn}[1]{\Bigl\|#1\Bigr\|}                                                   % norm, Big
\newcommand{\Ba}[1]{\Bigl\langle#1\Bigr\rangle}                                         % angle, Big
\newcommand{\Bce}[1]{\Bigl\lceil#1\Bigr\rceil}                                          % ceil, Big
\newcommand{\Bfl}[1]{\Bigl\lfloor#1\Bigr\rfloor}                                        % floor, Big
\newcommand{\BS}[1]{\Bigl[#1\Bigr]}                                                     % square, Big
\newcommand{\BC}[1]{\Bigl\{#1\Bigr\}}                                                   % calligraphic, Big
\newcommand{\Brs}[1]{\Bigl(#1\Bigr]}                                                    % round/square, Big
\newcommand{\Bsr}[1]{\Bigl[#1\Bigr)}                                                    % square/round, Big
% ---------------------------------------------------------------
\newcommand{\bbr}[1]{\biggl(#1\biggr)}                                                  % round, bigg
\newcommand{\bbm}[1]{\biggl|#1\biggr|}                                                  % modulo, bigg
\newcommand{\bbn}[1]{\biggl\|#1\biggr\|}                                                % norm, bigg
\newcommand{\bba}[1]{\biggl\langle#1\biggr\rangle}                                      % angle, bigg
\newcommand{\bbce}[1]{\biggl\lceil#1\biggr\rceil}                                       % ceil, bigg
\newcommand{\bbfl}[1]{\biggl\lfloor#1\biggr\rfloor}                                     % floor, bigg
\newcommand{\bbs}[1]{\biggl[#1\biggr]}                                                  % square, bigg
\newcommand{\bbc}[1]{\biggl\{#1\biggr\}}                                                % calligraphic, bigg
\newcommand{\bbrs}[1]{\biggl(#1\biggr]}                                                 % round/square, bigg
\newcommand{\bbsr}[1]{\biggl[#1\biggr)}                                                 % square/round, bigg
% ---------------------------------------------------------------
\newcommand{\bbbr}[1]{\Biggl(#1\Biggr)}                                                 % round, Bigg
\newcommand{\bbbm}[1]{\Biggl|#1\Biggr|}                                                 % modulo, Bigg
\newcommand{\bbbn}[1]{\Biggl\|#1\Biggr\|}                                               % norm, Bigg
\newcommand{\bbba}[1]{\Biggl\langle#1\Biggr\rangle}                                     % angle, Bigg
\newcommand{\bbbce}[1]{\Biggl\lceil#1\Biggr\rceil}                                      % ceil, Bigg

\newcommand{\bbbfl}[1]{\Biggl\lfloor#1\Biggr\rfloor}                                    % floor, Bigg
\newcommand{\bbbs}[1]{\Biggl[#1\Biggr]}                                                 % square, Bigg
\newcommand{\bbbc}[1]{\Biggl\{#1\Biggr\}}                                               % calligraphic, Bigg
\newcommand{\bbbrs}[1]{\Biggl(#1\Biggr]}                                                % round/square, Bigg
\newcommand{\bbbsr}[1]{\Biggl[#1\Biggr)}                                                % square/round, Bigg
% ---------------------------------------------------------------
\newcommand{\lcomm}{\bigl\{}                                                            % left comment
\newcommand{\rcomm}{\bigr\}}                                                            % right comment

% ===============================================================
% Dotted sequences
% ===============================================================
\newcommand{\etc}{,\ldots}                                                              % et cetera
\newcommand{\sco}{,\ldots,}                                                             % sequenced
\newcommand{\spl}{\bw+\ldots\bw+}                                                       % sequenced plus
\newcommand{\sd}{\bw\cdot\ldots\bw\cdot}                                                % sequenced dot
\newcommand{\st}{\bw\times\ldots\bw\times}                                              % sequenced times
\newcommand{\sop}{\bw\oplus\ldots\bw\oplus}                                             % sequenced oplus
\newcommand{\sot}{\bw\otimes\ldots\bw\otimes}                                           % sequenced otimes
\newcommand{\sw}{\bw\wedge\ldots\bw\wedge}                                              % sequenced wedge
\newcommand{\sv}{\bw\vee\ldots\bw\vee}                                                  % sequenced vee
\newcommand{\sle}{\bw\le\ldots\bw\le}                                                   % sequenced le
\newcommand{\sge}{\bw\ge\ldots\bw\ge}                                                   % sequenced ge
\newcommand{\sles}{\bw<\ldots\bw<}                                                      % sequenced less
\newcommand{\sgre}{\bw>\ldots\bw>}                                                      % sequenced greater
\newcommand{\sa}{\bw\&\ldots\bw\&}                                                      % sequenced conjunction

% ===============================================================
% Common usage sums, limits, integrals, products
% ===============================================================
\newcommand{\suml}[2]{\sum\limits_{{#1}}^{{#2}}}                                        % limited sum
\newcommand{\sums}[1]{\sum\limits_{{#1}}}                                               % sum over set
%\newcommand{\sumlstr}[2]{{\sum\limits_{{#1}}^{{#2}}}'}                                  % limited sum with strike
\newcommand{\sumsstr}[1]{{\sum\limits_{{#1}}}'}                                         % sum with strike over set
\newcommand{\sumstr}{{\sum}'}                                                           % sum with strike (simple)
\newcommand{\sumkui}{\sum\limits_{k=1}^{\infty}}                                        % sums to 'infty'
\newcommand{\sumnui}{\sum\limits_{n=1}^{\infty}}
\newcommand{\sumiui}{\sum\limits_{i=1}^{\infty}}
\newcommand{\sumkzi}{\sum\limits_{k=0}^{\infty}}
\newcommand{\sumnzi}{\sum\limits_{n=0}^{\infty}}
\newcommand{\sumizi}{\sum\limits_{i=0}^{\infty}}
\newcommand{\sumkun}{\sum\limits_{k=1}^{n}}                                             % sums to 'n'
\newcommand{\sumiun}{\sum\limits_{i=1}^{n}}
\newcommand{\sumkzn}{\sum\limits_{k=0}^{n}}
\newcommand{\sumizn}{\sum\limits_{i=0}^{n}}
\newcommand{\sumium}{\sum\limits_{i=1}^{m}}
\newcommand{\sumkum}{\sum\limits_{k=1}^{m}}                                             % sums to 'm'
\newcommand{\sumkzm}{\sum\limits_{k=0}^{m}}
\newcommand{\sumizm}{\sum\limits_{i=0}^{m}}
\newcommand{\sumun}{\sum\limits_{1}^{n}}                                                % sums without variable
\newcommand{\sumzn}{\sum\limits_{0}^{n}}
\newcommand{\sumui}{\sum\limits_{1}^{\infty}}
\newcommand{\sumzi}{\sum\limits_{0}^{\infty}}
\newcommand{\sumi}{\sum\limits_{i}}                                                     % sums over 'i'
\newcommand{\sumn}{\sum\limits_{n}}                                                     % sums over 'i'

\newcommand{\oplusl}[2]{\bigoplus\limits_{{#1}}^{{#2}}}                                 % limited direct sum
\newcommand{\otimesl}[2]{\bigotimes\limits_{{#1}}^{{#2}}}                               % limited cross product
\newcommand{\opluss}[1]{\bigoplus\limits_{{#1}}^{}}                                     % direct sum over set
\newcommand{\otimess}[1]{\bigotimes\limits_{{#1}}^{}}                                   % cross product over set
\newcommand{\prodl}[2]{\prod\limits_{{#1}}^{{#2}}}                                      % limited product
\newcommand{\prods}[1]{\prod\limits_{{#1}}}                                             % half-limited product
\newcommand{\prodstr}{{\prod}'}                                                         % product with strike
\newcommand{\prodsstr}[1]{{\prod\limits_{{#1}}}'}                                       % half-limited product with strike
\newcommand{\resl}[1]{\res\limits_{{#1}}}                                               % limited residue
\newcommand{\liml}[1]{\lim\limits_{{#1}}}                                               % limited limit
\newcommand{\infl}[1]{\inf\limits_{{#1}}}                                               % limited inf
\newcommand{\supl}[1]{\sup\limits_{{#1}}}                                               % limited sup
\newcommand{\minl}[1]{\min\limits_{{#1}}}                                               % limited min
\newcommand{\maxl}[1]{\max\limits_{{#1}}}                                               % limited max
\newcommand{\uliml}[1]{\varlimsup\limits_{#1}}                                          % upper limit
\newcommand{\lliml}[1]{\varliminf\limits_{#1}}                                          % lower limit
\newcommand{\ampl}[2]{\mathop{\raisebox{-3.5pt}{\LARGE\&}}\limits_{{#1}}^{{#2}}}        % big AND
\newcommand{\amps}[1]{\mathop{\raisebox{-3.5pt}{\LARGE\&}}\limits_{{#1}}}               % big AND with one limit
\newcommand{\Varl}[1]{\mathop{\Var}\limits_{{#1}}}                                      % Variation

% Disjunctive limited union
\newcommand{\cupsql}[2]{\bigsqcup\limits_{{#1}}^{{#2}}}                                 % disjunctive two-limited union
\newcommand{\cupsqs}[1]{\bigsqcup\limits_{{#1}}}                                        % disjunctive one-limited union

% Limited unions
\newcommand{\cupl}[2]{\bigcup\limits_{{#1}}^{{#2}}}                                     % limited union
\newcommand{\cups}[1]{\bigcup\limits_{{#1}}}                                            % union over set

\newcommand{\cupkui}{\bigcup\limits_{k=1}^{\infty}}                                     % unions to 'infty'
\newcommand{\cupnui}{\bigcup\limits_{n=1}^{\infty}}
\newcommand{\cupiui}{\bigcup\limits_{i=1}^{\infty}}
\newcommand{\cupkzi}{\bigcup\limits_{k=0}^{\infty}}
\newcommand{\cupnzi}{\bigcup\limits_{n=0}^{\infty}}
\newcommand{\cupizi}{\bigcup\limits_{i=0}^{\infty}}
\newcommand{\cupkun}{\bigcup\limits_{k=1}^{n}}                                          % unions to 'n'
\newcommand{\cupiun}{\bigcup\limits_{i=1}^{n}}
\newcommand{\cupkzn}{\bigcup\limits_{k=0}^{n}}                                          % unions to 'n'
\newcommand{\cupizn}{\bigcup\limits_{i=0}^{n}}

\newcommand{\cupun}{\bigcup\limits_{1}^{n}}                                             % unions w/o variable
\newcommand{\cupzn}{\bigcup\limits_{0}^{n}}
\newcommand{\cupui}{\bigcup\limits_{1}^{\infty}}
\newcommand{\cupzi}{\bigcup\limits_{0}^{\infty}}

\newcommand{\cupi}{\bigcup\limits_{i}}                                                  % union over 'i'
\newcommand{\cupn}{\bigcup\limits_{n}}                                                  % union over 'n'

% Limited intersections
\newcommand{\capl}[2]{\bigcap\limits_{{#1}}^{{#2}}}                                     % limited anion
\newcommand{\caps}[1]{\bigcap\limits_{{#1}}}                                            % anion over set

\newcommand{\capkui}{\bigcap\limits_{k=1}^{\infty}}                                     % anions to 'infty'
\newcommand{\capnui}{\bigcap\limits_{n=1}^{\infty}}
\newcommand{\capiui}{\bigcap\limits_{i=1}^{\infty}}
\newcommand{\capkzi}{\bigcap\limits_{k=0}^{\infty}}
\newcommand{\capnzi}{\bigcap\limits_{n=0}^{\infty}}
\newcommand{\capizi}{\bigcap\limits_{i=0}^{\infty}}
\newcommand{\capkun}{\bigcap\limits_{k=1}^{n}}                                          % anions to 'n'
\newcommand{\capiun}{\bigcap\limits_{i=1}^{n}}
\newcommand{\capkzn}{\bigcap\limits_{k=0}^{n}}                                          % anions to 'n'
\newcommand{\capizn}{\bigcap\limits_{i=0}^{n}}

\newcommand{\capun}{\bigcap\limits_{1}^{n}}                                             % anions w/o variable
\newcommand{\capzn}{\bigcap\limits_{0}^{n}}
\newcommand{\capui}{\bigcap\limits_{1}^{\infty}}
\newcommand{\capzi}{\bigcap\limits_{0}^{\infty}}

\newcommand{\capi}{\bigcap\limits_{i}}                                                  % anion over 'i'
\newcommand{\capn}{\bigcap\limits_{n}}                                                  % anion over 'n'

% Integrals
\newcommand{\intl}[2]{\int\limits_{{#1}}^{{#2}}}                                        % limited integral
\newcommand{\ints}[1]{\int\limits_{{#1}}}                                               % integral over set
\newcommand{\iints}[1]{\iint\limits_{{#1}}}                                             % iintegral over set
\newcommand{\iiints}[1]{\iiint\limits_{{#1}}}                                           % iiintegral over set
\newcommand{\idotsints}[1]{\idotsint\limits_{{#1}}}                                     % idotsintegral over set
\newcommand{\oints}[1]{\oint\limits_{{#1}}}                                             % ointegral over set

% ===============================================================
% Reductions
% ===============================================================
\renewcommand{\ge}{\geqslant}
\renewcommand{\le}{\leqslant}
\newcommand{\nge}{\ngeqslant}
\newcommand{\nle}{\nleqslant}
\newcommand{\exi}{\,\exists\,}
\newcommand{\exu}{\,\exists\,!\;}
\newcommand{\fa}{\,\forall\,}
\newcommand{\es}{\varnothing}
\newcommand{\bes}{\infty}                                                               % rus-infinity
\newcommand{\pd}{\partial}
\newcommand{\subs}{\subset}
\newcommand{\sups}{\supset}
\newcommand{\subseq}{\subseteq}
\newcommand{\supseq}{\supseteq}
\newcommand{\subsneq}{\varsubsetneq}
\newcommand{\supsneq}{\varsupsetneq}
\newcommand{\wo}{\smallsetminus}
\newcommand{\ol}{\overline}
\newcommand{\os}{\overset}
\newcommand{\us}{\underset}
\newcommand{\ul}{\underline}
\newcommand{\wh}{\widehat}
\newcommand{\wt}{\widetilde}
\newcommand{\ub}{\underbrace}
\newcommand{\ob}{\overbrace}
\newcommand{\ubt}{\underbracket}
\newcommand{\obt}{\overbracket}
\newcommand{\cln}{\colon}
\newcommand{\wg}{\wedge}
\newcommand{\ulim}{\varlimsup}
\newcommand{\llim}{\varliminf}
\newcommand{\tri}{\triangle}
\newcommand{\swo}{\mathbin{\triangle}}
\newcommand{\lhdp}{\leftthreetimes}                                                     % half-direct product (left)
\newcommand{\rhdp}{\rightthreetimes}                                                    % half-direct product (right)
\newcommand{\nl}{\lhd}                                                                  % normal left
\newcommand{\nr}{\rhd}                                                                  % normal right
\newcommand{\divs}{\,\bigl\rvert\,}                                                     % divides
\newcommand{\ndivs}{\!\nmid\!}                                                          % not divides
\newcommand{\vl}{\;\rvert\;}                                                            % vertical line with skips
\newcommand{\bvl}{\;\big\rvert\;}                                                       % vertical line with skips
\newcommand{\phm}{\phantom{-}}                                                          % phantom minus for alignment
\newcommand{\fact}[2]{\genfrac{}{}{0pt}{}{#1}{}\!\!\bigl/\!\!\genfrac{}{}{0pt}{}{}{#2}} % factor
\newcommand{\evu}[3]{\mskip2mu\vrule height #3 width .4pt depth #2\mskip2mu\lower#2\hbox{{\scriptsize$#1$}}}
\newcommand{\ev}[2]{\evu{#1}{#2}{.65pc}}
\newcommand{\evn}[1]{\ev{#1}{10pt}}
\newcommand{\usd}[1]{\ol{\mathrm{S}}_{{#1}}}                                            % upper Darboux sum
\newcommand{\lsd}[1]{\ul{\mathrm{S}}_{{#1}}}                                            % lower Darboux sum
\newcommand{\pf}[2]{\frac{\pd #1}{\pd #2}}                                              % partial derivative fraction
\newcommand{\dv}{\smash{\mskip3mu\lower1pt\hbox{\vdots}\mskip3mu}}                      % multiple of (rus)
\newcommand{\deq}{\coloneqq}                                                            % :=

% Arrows
\renewcommand{\to}{\rightarrow}
\newcommand{\ra}{\rightarrow}
\newcommand{\Ra}{\Rightarrow}
\newcommand{\nra}{\nrightarrow}
\newcommand{\longra}{\longrightarrow}
\newcommand{\rra}{\rightrightarrows}
\newcommand{\xra}{\xrightarrow}
\newcommand{\Lra}{\Leftrightarrow}
\newcommand{\lra}{\leftrightarrow}
\newcommand{\ot}{\leftarrow}
\newcommand{\ar}{\leftarrow}
\newcommand{\lar}{\leftarrow}
\newcommand{\Lar}{\Leftarrow}
\newcommand{\nla}{\nleftarrow}
\newcommand{\longla}{\longleftarrow}
\newcommand{\lla}{\leftleftarrows}
\newcommand{\xla}{\xleftarrow}
\newcommand{\up}{\uparrow}
\newcommand{\inj}{\hookrightarrow}                                                      % injection
\newcommand{\map}[1]{\stackrel{#1}{\longrightarrow}}                                    % mapping
\newcommand{\corr}[1]{\stackrel{#1}{\longmapsto}}                                       % corresponds

% Convergence symbols, etc
\newcommand{\convu}[1]{\stackrel{#1}{\rightrightarrows}}                                % conv.uniform
\newcommand{\convs}{\stackrel{\mbox{\scriptsize\rm s}}{\longrightarrow}}                % conv.strongly
\newcommand{\convw}{\stackrel{\mbox{\scriptsize\rm w}}{\longrightarrow}}                % conv.weak
\newcommand{\convws}{\stackrel{*\mbox{\scriptsize\rm w}}{\longrightarrow}}              % conv.weak star
\newcommand{\convas}{\stackrel{\mbox{\tiny\rm п.н.}}{\longrightarrow}}                  % conv.alm.surely.
\newcommand{\convasu}{\stackrel{\mbox{\tiny\rm п.н.}}{\nearrow}}                        % conv.alm.surely.up
\newcommand{\convasl}{\stackrel{\mbox{\tiny\rm п.н.}}{\searrow}}                        % conv.alm.surely.down
\newcommand{\convp}{\stackrel{\Pf}{\longrightarrow}}                                    % conv.probability
\newcommand{\convd}{\stackrel{\Ds}{\longrightarrow}}                                    % conv.distribution
\newcommand{\convae}{\stackrel{\mbox{\tiny\rm п.в.}}{\longrightarrow}}                  % conv.alm.everywhere
\newcommand{\convaeu}{\stackrel{\mbox{\tiny\rm п.в.}}{\nearrow}}                        % conv.alm.everywhere.up
\newcommand{\convael}{\stackrel{\mbox{\tiny\rm п.в.}}{\searrow}}                        % conv.alm.everywhere.down
\newcommand{\eqas}{\stackrel{\mbox{\tiny\rm п.н.}}{=}}                                  % eq.alm.surely
\newcommand{\eqdef}{\stackrel{\mbox{\tiny\rm def}}{=}}                                  % eq.by.def
\newcommand{\eqae}{\stackrel{\mbox{\tiny\rm п.в.}}{=}}                                  % eq.alm.everywhere
\newcommand{\eqvl}[2]{\stackrel{\mbox{\tiny\rm #1}}{\ol{\ol{\hbox to #2pt{}}}}}         % eq.variable.length

% Obsolete commands
%\newcommand{\eval}[1]{\rule[-8pt]{.4pt}{15pt}_{\,{#1}}}                                % evaluation
%\newcommand{\evalm}[3]{\rule[#2]{.4pt}{#3}_{{#1}}}                                     % manual evaluation

\endinput