Mathematics

Change math font size

Add this to the preamble..

\makeatletter
\DeclareMathSizes{\@xipt}{10}{7}{5}  % For size 11pt text
\makeatother

The second argument = Math text size (in pt), 3rd = script size,
4th = scriptscript size

Matrix with partitions

\usepackage{pmat}

\begin{document}

\[

    \begin{pmat}[{.|}]

        a_{11} & a_{12} & b_{11} \cr

        a_{21} & a_{22} & b_{21} \cr\-

        c_{11} & c_{12} & d_{11} \cr

    \end{pmat}

\]

\end{document}

Large fraction

Use dfrac{}{} in amsmath package to create a large fraction font

Phasor operator

Use package steinmetz and define the new command

\newcommand{\jphase}[1]{\phase{#1l}}

and modify steinmetz.sty by changing the linethickness to .3pt

\put(0,0){\line(1,0){\ph@x}}\put(0,0){\line(1,2.5){\ph@dx}}


Right-aligned matrix

\setcounter{}{20}  % Increase max columns from 10 to 20
\makeatletter
\renewcommand*\env@matrix[1][c]{\hskip -\arraycolsep
  \let\@ifnextchar\new@ifnextchar
  \array{*\c@MaxMatrixCols #1}}
\makeatother

and use

\begin{bmatrix}[r]
\end{bmatrix}

or

%% Change the matrix alignment to the right
\makeatletter
\def\env@matrix{\hskip -\arraycolsep
\let\@ifnextchar\new@ifnextchar
\array{*\c@MaxMatrixCols r}}
\makeatother

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Increase # columns from the default 10 to 20. 
%% Make the bmatrix right-aligned with \begin{bmatrix}[r]
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\setcounter{MaxMatrixCols}{20} 
\makeatletter
\renewcommand*\env@matrix[1][c]{\hskip -\arraycolsep
  \let\@ifnextchar\new@ifnextchar
  \array{*\c@MaxMatrixCols #1}}

\makeatother