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- begin{equation}
- begin{matrix}
- J
- =
- begin{bmatrix}
- frac{delta e_{1,1}}{delta w_{1,1}} & frac{delta e_{1,1}}{delta w_{1,2}} &
- cdots & frac{delta e_{1,1}}{delta w_{j,1}} & cdots \[0.5em]
- frac{delta e_{1,2}}{delta w_{1,1}} & frac{delta e_{1,2}}{delta w_{1,2}} &
- cdots & frac{delta e_{1,2}}{delta w_{j,1}} & cdots \[0.5em]
- cdots & cdots & cdots &
- cdots & cdots \[0.5em]
- frac{delta e_{1,M}}{delta w_{1,1}} & frac{delta e_{1,M}}{delta w_{1,2}} &
- cdots & frac{delta e_{1,M}}{delta w_{j,1}} & cdots \[0.5em]
- cdots & cdots & cdots &
- cdots & cdots \[0.5em]
- frac{delta e_{P,1}}{delta w_{1,1}} & frac{delta e_{P,1}}{delta w_{1,2}} &
- cdots & frac{delta e_{P,1}}{delta w_{j,1}} & cdots \[0.5em]
- frac{delta e_{P,1}}{delta w_{1,1}} & frac{delta e_{np,2}}{delta w_{1,2}} &
- cdots & frac{delta e_{P,2}}{delta w_{j,1}} & cdots \[0.5em]
- cdots & cdots & cdots &
- cdots & cdots \[0.5em]
- frac{delta e_{P,M}}{delta w_{1,1}} & frac{delta e_{P,M}}{delta w_{1,2}} &
- cdots & frac{delta e_{P,M}}{delta w_{j,1}} & cdots \[0.5em]
- end{bmatrix} %!!
- begin{aligned}
- &left.begin{matrix}
- m = 1 \[0.5em]
- m = 2 \[0.5em]
- cdots \[0.5em]
- m = M \[0.5em]
- end{matrix} right} %
- p = 1\
- &begin{matrix}
- phantom{cdots}cdots\[0.5em]
- end{matrix}\ %
- &left.begin{matrix}
- m = 1 \[0.5em]
- m = 2 \[0.5em]
- cdots \[0.5em]
- m = M\[0.5em]
- end{matrix}right}%
- p = P\
- end{aligned}
- end{matrix}
- end{equation}
- documentclass{article}
- usepackage{amsmath}
- usepackage{xcolor}
- newcommandovermat[2]{%
- makebox[0pt][l]{$smash{color{white}overbrace{phantom{%
- begin{matrix}#2end{matrix}}}^{text{color{black}#1}}}$}#2}
- newcommandpartialphantom{vphantom{frac{partial e_{P,M}}{partial w_{1,1}}}}
- begin{document}
- begin{equation}
- begin{matrix}
- J
- =
- begin{bmatrix}
- overmat{neuron 1}{frac{partial e_{1,1}}{partial w_{1,1}} & frac{partial e_{1,1}}{partial w_{1,2}}} &
- overmat{$mkern-3.5mucdots$}{cdots} & overmat{neuron $j$}{frac{partial e_{1,1}}{partial w_{j,1}} & frac{partial e_{1,1}}{partial w_{j,1}}} & cdots \[0.5em]
- %
- frac{partial e_{1,2}}{partial w_{1,1}} & frac{partial e_{1,2}}{partial w_{1,2}} &
- cdots & frac{partial e_{1,2}}{partial w_{j,1}} & cdots \[0.5em]
- %
- cdots & cdots & cdots &
- cdots & cdots \[0.5em]
- %
- frac{partial e_{1,M}}{partial w_{1,1}} & frac{partial e_{1,M}}{partial w_{1,2}} &
- cdots & frac{partial e_{1,M}}{partial w_{j,1}} & cdots \[0.5em]
- %
- cdots & cdots & cdots &
- cdots & cdots \[0.5em]
- %
- frac{partial e_{P,1}}{partial w_{1,1}} & frac{partial e_{P,1}}{partial w_{1,2}} &
- cdots & frac{partial e_{P,1}}{partial w_{j,1}} & cdots \[0.5em]
- %
- frac{partial e_{P,1}}{partial w_{1,1}} & frac{partial e_{np,2}}{partial w_{1,2}} &
- cdots & frac{partial e_{P,2}}{partial w_{j,1}} & cdots \[0.5em]
- %
- cdots & cdots & cdots &
- cdots & cdots \[0.5em]
- %
- frac{partial e_{P,M}}{partial w_{1,1}} & frac{partial e_{P,M}}{partial w_{1,2}} &
- cdots & frac{partial e_{P,M}}{partial w_{j,1}} & cdots \[0.5em]
- end{bmatrix}
- begin{aligned}
- &left.begin{matrix}
- partialphantom m = 1 \[0.5em]
- partialphantom m = 2 \[0.5em]
- cdots \[0.5em]
- partialphantom m = M \[0.5em]
- end{matrix} right} %
- p = 1\
- &begin{matrix}
- \[-1.67em]phantom{cdots}cdots
- end{matrix}\ %
- &left.begin{matrix}
- partialphantom m = 1 \[0.5em]
- partialphantom m = 2 \[0.5em]
- cdots \[0.5em]
- partialphantom m = M\[0.5em]
- end{matrix}right}%
- p = P\
- end{aligned}
- end{matrix}
- end{equation}
- end{document}
- documentclass{article}
- usepackage{amsmath}
- usepackage{xcolor}
- newcommandovermat[2]{%
- makebox[0pt][l]{$smash{color{white}overbrace{phantom{%
- begin{matrix}#2end{matrix}}}^{text{color{black}#1}}}$}#2}
- newcommandbovermat[2]{%
- makebox[0pt][l]{$smash{overbrace{phantom{%
- begin{matrix}#2end{matrix}}}^{text{#1}}}$}#2}
- newcommandpartialphantom{vphantom{frac{partial e_{P,M}}{partial w_{1,1}}}}
- begin{document}
- begin{equation}
- begin{matrix}
- J
- =
- begin{bmatrix}
- bovermat{neuron 1}{frac{partial e_{1,1}}{partial w_{1,1}} & frac{partial e_{1,1}}{partial w_{1,2}}} &
- overmat{$mkern-3.5mucdots$}{cdots} & bovermat{neuron $j$}{frac{partial e_{1,1}}{partial w_{j,1}} & frac{partial e_{1,1}}{partial w_{j,1}}} & cdots \[0.5em]
- %
- frac{partial e_{1,2}}{partial w_{1,1}} & frac{partial e_{1,2}}{partial w_{1,2}} &
- cdots & frac{partial e_{1,2}}{partial w_{j,1}} & cdots \[0.5em]
- %
- cdots & cdots & cdots &
- cdots & cdots \[0.5em]
- %
- frac{partial e_{1,M}}{partial w_{1,1}} & frac{partial e_{1,M}}{partial w_{1,2}} &
- cdots & frac{partial e_{1,M}}{partial w_{j,1}} & cdots \[0.5em]
- %
- cdots & cdots & cdots &
- cdots & cdots \[0.5em]
- %
- frac{partial e_{P,1}}{partial w_{1,1}} & frac{partial e_{P,1}}{partial w_{1,2}} &
- cdots & frac{partial e_{P,1}}{partial w_{j,1}} & cdots \[0.5em]
- %
- frac{partial e_{P,1}}{partial w_{1,1}} & frac{partial e_{np,2}}{partial w_{1,2}} &
- cdots & frac{partial e_{P,2}}{partial w_{j,1}} & cdots \[0.5em]
- %
- cdots & cdots & cdots &
- cdots & cdots \[0.5em]
- %
- frac{partial e_{P,M}}{partial w_{1,1}} & frac{partial e_{P,M}}{partial w_{1,2}} &
- cdots & frac{partial e_{P,M}}{partial w_{j,1}} & cdots \[0.5em]
- end{bmatrix}
- begin{aligned}
- &left.begin{matrix}
- partialphantom m = 1 \[0.5em]
- partialphantom m = 2 \[0.5em]
- cdots \[0.5em]
- partialphantom m = M \[0.5em]
- end{matrix} right} %
- p = 1\
- &begin{matrix}
- \[-1.67em]phantom{cdots}cdots
- end{matrix}\ %
- &left.begin{matrix}
- partialphantom m = 1 \[0.5em]
- partialphantom m = 2 \[0.5em]
- cdots \[0.5em]
- partialphantom m = M\[0.5em]
- end{matrix}right}%
- p = P\
- end{aligned}
- end{matrix}
- end{equation}
- end{document}
- documentclass{article}
- usepackage{amsmath}
- [
- begin{array}{| c | c | c | c | c | c | c | c | c | c |}
- multicolumn{3}{c}{rho_1 } &
- multicolumn{3}{c}{rho_2} &
- multicolumn{1}{c}{ } &
- multicolumn{3}{c}{rho_k} \
- %
- multicolumn{3}{c}{overbrace{rule{4cm}{0pt}}} &
- multicolumn{3}{c}{overbrace{rule{4cm}{0pt}}} &
- multicolumn{1}{c}{ } &
- multicolumn{3}{c}{overbrace{rule{4cm}{0pt}}} \[-3pt]
- hline
- p(t_1) & cdots & p^{(rho_1-1)}(t_1) & p(t_2) & cdots &
- p^{(rho_2-1)}(t_2) & cdots & p(t_k) & cdots &
- p^{(rho_k-1)}(t_k) \
- hline
- end{array}
- ]
- end{document}
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