Math & Science ⇒ too much wide bmatrix

[vmz]

hi all,

i'd like to typeset following (jacobian) matrix.

Code: Select all

\begin{equation*}
J =
\begin{bmatrix}
\dfrac{\partial \Delta a_{1}}{\partial c_{1}}     & \dfrac{\partial \Delta a_{1}}{\partial d_{1}}     & \ldots & \dfrac{\partial \Delta a_{1}}{\partial c_{m}}     & \dfrac{\partial \Delta a_{1}}{\partial d_{m}}     & \dfrac{\partial \Delta a_{1}}{\partial c_{m+1}}     & \dfrac{\partial \Delta a_{1}}{\partial d_{m+1}}     & \ldots & \dfrac{\partial \Delta a_{1}}{\partial c_{n-1}}     & \dfrac{\partial \Delta a_{1}}{\partial d_{n-1}}     \\[3.0ex]
\dfrac{\partial \Delta b_{1}}{\partial c_{1}}     & \dfrac{\partial \Delta b_{1}}{\partial d_{1}}     & \ldots & \dfrac{\partial \Delta b_{1}}{\partial c_{m}}     & \dfrac{\partial \Delta b_{1}}{\partial d_{m}}     & \dfrac{\partial \Delta b_{1}}{\partial c_{m+1}}     & \dfrac{\partial \Delta b_{1}}{\partial d_{m+1}}     & \ldots & \dfrac{\partial \Delta b_{1}}{\partial c_{n-1}}     & \dfrac{\partial \Delta b_{1}}{\partial d_{n-1}}     \\
\vdots                                            & \vdots                                            & \ddots & \vdots                                            & \vdots                                            & \vdots                                              & \vdots                                              & \ddots & \vdots                                              & \vdots                                              \\
\dfrac{\partial \Delta a_{m}}{\partial c_{1}}     & \dfrac{\partial \Delta a_{m}}{\partial d_{1}}     & \ldots & \dfrac{\partial \Delta a_{m}}{\partial c_{m}}     & \dfrac{\partial \Delta a_{m}}{\partial d_{m}}     & \dfrac{\partial \Delta a_{m}}{\partial c_{m+1}}     & \dfrac{\partial \Delta a_{m}}{\partial d_{m+1}}     & \ldots & \dfrac{\partial \Delta a_{m}}{\partial c_{n-1}}     & \dfrac{\partial \Delta a_{m}}{\partial d_{n-1}}     \\[3.0ex]
\dfrac{\partial \Delta b_{m}}{\partial c_{1}}     & \dfrac{\partial \Delta b_{m}}{\partial d_{1}}     & \ldots & \dfrac{\partial \Delta b_{m}}{\partial c_{m}}     & \dfrac{\partial \Delta b_{m}}{\partial d_{m}}     & \dfrac{\partial \Delta b_{m}}{\partial c_{m+1}}     & \dfrac{\partial \Delta b_{m}}{\partial d_{m+1}}     & \ldots & \dfrac{\partial \Delta b_{m}}{\partial c_{n-1}}     & \dfrac{\partial \Delta b_{m}}{\partial d_{n-1}}     \\[3.0ex]
\dfrac{\partial \Delta a_{m+1}}{\partial c_{1}}   & \dfrac{\partial \Delta a_{m+1}}{\partial d_{1}}   & \ldots & \dfrac{\partial \Delta a_{m+1}}{\partial c_{m}}   & \dfrac{\partial \Delta a_{m+1}}{\partial d_{m}}   & \dfrac{\partial \Delta a_{m+1}}{\partial c_{m+1}}   & \dfrac{\partial \Delta a_{m+1}}{\partial d_{m+1}}   & \ldots & \dfrac{\partial \Delta a_{m+1}}{\partial c_{n-1}}   & \dfrac{\partial \Delta a_{m+1}}{\partial d_{n-1}}   \\[3.0ex]
\dfrac{\partial \Delta b_{m+1}}{\partial c_{1}}   & \dfrac{\partial \Delta b_{m+1}}{\partial d_{1}}   & \ldots & \dfrac{\partial \Delta b_{m+1}}{\partial c_{m}}   & \dfrac{\partial \Delta b_{m+1}}{\partial d_{m}}   & \dfrac{\partial \Delta b_{m+1}}{\partial c_{m+1}}   & \dfrac{\partial \Delta b_{m+1}}{\partial d_{m+1}}   & \ldots & \dfrac{\partial \Delta b_{m+1}}{\partial c_{n-1}}   & \dfrac{\partial \Delta b_{m+1}}{\partial d_{n-1}}   \\
\vdots                                            & \vdots                                            & \ddots & \vdots                                            & \vdots                                            & \vdots                                              & \vdots                                              & \ddots & \vdots                                              & \vdots                                              \\
\dfrac{\partial \Delta a_{n-1}}{\partial c_{1}}   & \dfrac{\partial \Delta a_{n-1}}{\partial d_{1}}   & \ldots & \dfrac{\partial \Delta a_{n-1}}{\partial c_{m}}   & \dfrac{\partial \Delta a_{n-1}}{\partial d_{m}}   & \dfrac{\partial \Delta a_{n-1}}{\partial c_{n-1}}   & \dfrac{\partial \Delta a_{n-1}}{\partial d_{n-1}}   & \ldots & \dfrac{\partial \Delta a_{n-1}}{\partial c_{n-1}}   & \dfrac{\partial \Delta a_{n-1}}{\partial d_{n-1}}   \\[3.0ex]
\dfrac{\partial \Delta b_{n-1}}{\partial c_{1}}   & \dfrac{\partial \Delta b_{n-1}}{\partial d_{1}}   & \ldots & \dfrac{\partial \Delta b_{n-1}}{\partial c_{m}}   & \dfrac{\partial \Delta b_{n-1}}{\partial d_{m}}   & \dfrac{\partial \Delta b_{n-1}}{\partial c_{n-1}}   & \dfrac{\partial \Delta b_{n-1}}{\partial d_{n-1}}   & \ldots & \dfrac{\partial \Delta b_{n-1}}{\partial c_{n-1}}   & \dfrac{\partial \Delta b_{n-1}}{\partial d_{n-1}}
\end{bmatrix}
\end{equation*}

unfortunatelly it is wider than a page. the spaces between columns are (seems to me to be) really huge. i guess with propriate settings the matrix would fit into page.

so is there any way in bmatrix enviroment to reduce horizontal spaces between colums? or would you suggest any other approach to make the matrix fit into page.

thank you very much
vita mach-zizka

[php1ic]

Not sure how to do it with a bmatrix, but if you use an array surrounded by square brackets then you can specify the column separation

Code: Select all

\documentclass[a4paper]{article}

\usepackage{amsmath}
\usepackage[showframe]{geometry}

\begin{document}

\[
J =
\left[
\begin{array}{c*{10}{@{\,}c}}
\dfrac{\partial \Delta a_{1}}{\partial c_{1}}     & \dfrac{\partial \Delta a_{1}}{\partial d_{1}}     & \ldots & \dfrac{\partial \Delta a_{1}}{\partial c_{m}}     & \dfrac{\partial \Delta a_{1}}{\partial d_{m}}     & \dfrac{\partial \Delta a_{1}}{\partial c_{m+1}}     & \dfrac{\partial \Delta a_{1}}{\partial d_{m+1}}     & \ldots & \dfrac{\partial \Delta a_{1}}{\partial c_{n-1}}     & \dfrac{\partial \Delta a_{1}}{\partial d_{n-1}}     \\[3.0ex]
\dfrac{\partial \Delta b_{1}}{\partial c_{1}}     & \dfrac{\partial \Delta b_{1}}{\partial d_{1}}     & \ldots & \dfrac{\partial \Delta b_{1}}{\partial c_{m}}     & \dfrac{\partial \Delta b_{1}}{\partial d_{m}}     & \dfrac{\partial \Delta b_{1}}{\partial c_{m+1}}     & \dfrac{\partial \Delta b_{1}}{\partial d_{m+1}}     & \ldots & \dfrac{\partial \Delta b_{1}}{\partial c_{n-1}}     & \dfrac{\partial \Delta b_{1}}{\partial d_{n-1}}     \\
\vdots                                            & \vdots                                            & \ddots & \vdots                                            & \vdots                                            & \vdots                                              & \vdots                                              & \ddots & \vdots                                              & \vdots                                              \\
\dfrac{\partial \Delta a_{m}}{\partial c_{1}}     & \dfrac{\partial \Delta a_{m}}{\partial d_{1}}     & \ldots & \dfrac{\partial \Delta a_{m}}{\partial c_{m}}     & \dfrac{\partial \Delta a_{m}}{\partial d_{m}}     & \dfrac{\partial \Delta a_{m}}{\partial c_{m+1}}     & \dfrac{\partial \Delta a_{m}}{\partial d_{m+1}}     & \ldots & \dfrac{\partial \Delta a_{m}}{\partial c_{n-1}}     & \dfrac{\partial \Delta a_{m}}{\partial d_{n-1}}     \\[3.0ex]
\dfrac{\partial \Delta b_{m}}{\partial c_{1}}     & \dfrac{\partial \Delta b_{m}}{\partial d_{1}}     & \ldots & \dfrac{\partial \Delta b_{m}}{\partial c_{m}}     & \dfrac{\partial \Delta b_{m}}{\partial d_{m}}     & \dfrac{\partial \Delta b_{m}}{\partial c_{m+1}}     & \dfrac{\partial \Delta b_{m}}{\partial d_{m+1}}     & \ldots & \dfrac{\partial \Delta b_{m}}{\partial c_{n-1}}     & \dfrac{\partial \Delta b_{m}}{\partial d_{n-1}}     \\[3.0ex]
\dfrac{\partial \Delta a_{m+1}}{\partial c_{1}}   & \dfrac{\partial \Delta a_{m+1}}{\partial d_{1}}   & \ldots & \dfrac{\partial \Delta a_{m+1}}{\partial c_{m}}   & \dfrac{\partial \Delta a_{m+1}}{\partial d_{m}}   & \dfrac{\partial \Delta a_{m+1}}{\partial c_{m+1}}   & \dfrac{\partial \Delta a_{m+1}}{\partial d_{m+1}}   & \ldots & \dfrac{\partial \Delta a_{m+1}}{\partial c_{n-1}}   & \dfrac{\partial \Delta a_{m+1}}{\partial d_{n-1}}   \\[3.0ex]
\dfrac{\partial \Delta b_{m+1}}{\partial c_{1}}   & \dfrac{\partial \Delta b_{m+1}}{\partial d_{1}}   & \ldots & \dfrac{\partial \Delta b_{m+1}}{\partial c_{m}}   & \dfrac{\partial \Delta b_{m+1}}{\partial d_{m}}   & \dfrac{\partial \Delta b_{m+1}}{\partial c_{m+1}}   & \dfrac{\partial \Delta b_{m+1}}{\partial d_{m+1}}   & \ldots & \dfrac{\partial \Delta b_{m+1}}{\partial c_{n-1}}   & \dfrac{\partial \Delta b_{m+1}}{\partial d_{n-1}}   \\
\vdots                                            & \vdots                                            & \ddots & \vdots                                            & \vdots                                            & \vdots                                              & \vdots                                              & \ddots & \vdots                                              & \vdots                                              \\
\dfrac{\partial \Delta a_{n-1}}{\partial c_{1}}   & \dfrac{\partial \Delta a_{n-1}}{\partial d_{1}}   & \ldots & \dfrac{\partial \Delta a_{n-1}}{\partial c_{m}}   & \dfrac{\partial \Delta a_{n-1}}{\partial d_{m}}   & \dfrac{\partial \Delta a_{n-1}}{\partial c_{n-1}}   & \dfrac{\partial \Delta a_{n-1}}{\partial d_{n-1}}   & \ldots & \dfrac{\partial \Delta a_{n-1}}{\partial c_{n-1}}   & \dfrac{\partial \Delta a_{n-1}}{\partial d_{n-1}}   \\[3.0ex]
\dfrac{\partial \Delta b_{n-1}}{\partial c_{1}}   & \dfrac{\partial \Delta b_{n-1}}{\partial d_{1}}   & \ldots & \dfrac{\partial \Delta b_{n-1}}{\partial c_{m}}   & \dfrac{\partial \Delta b_{n-1}}{\partial d_{m}}   & \dfrac{\partial \Delta b_{n-1}}{\partial c_{n-1}}   & \dfrac{\partial \Delta b_{n-1}}{\partial d_{n-1}}   & \ldots & \dfrac{\partial \Delta b_{n-1}}{\partial c_{n-1}}   & \dfrac{\partial \Delta b_{n-1}}{\partial d_{n-1}}
\end{array}
\right]
\]

\end{document}

[vmz]

thank you very much. thats exactly what i've been looking for. vmz

[php1ic]

No problem, happy to help.

Can you now edit the initial post title as solved (use the green tick/check icon)