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# Untitled

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1. begin{equation}
2.
3.     begin{matrix}
4.      J
5.      =
6.      begin{bmatrix}
7.      frac{delta e_{1,1}}{delta w_{1,1}}  & frac{delta e_{1,1}}{delta w_{1,2}} &
8.      cdots & frac{delta e_{1,1}}{delta w_{j,1}}  & cdots \[0.5em]
9.
10.      frac{delta e_{1,2}}{delta w_{1,1}}  & frac{delta e_{1,2}}{delta w_{1,2}} &
11.      cdots & frac{delta e_{1,2}}{delta w_{j,1}}  & cdots \[0.5em]
12.
13.      cdots & cdots & cdots &
14.      cdots & cdots \[0.5em]
15.
16.      frac{delta e_{1,M}}{delta w_{1,1}}  & frac{delta e_{1,M}}{delta w_{1,2}} &
17.      cdots & frac{delta e_{1,M}}{delta w_{j,1}}  & cdots \[0.5em]
18.
19.      cdots & cdots & cdots &
20.      cdots & cdots \[0.5em]
21.
22.      frac{delta e_{P,1}}{delta w_{1,1}}  & frac{delta e_{P,1}}{delta w_{1,2}} &
23.      cdots & frac{delta e_{P,1}}{delta w_{j,1}}  & cdots \[0.5em]
24.
25.      frac{delta e_{P,1}}{delta w_{1,1}}  & frac{delta e_{np,2}}{delta w_{1,2}} &
26.      cdots & frac{delta e_{P,2}}{delta w_{j,1}}  & cdots \[0.5em]
27.
28.      cdots & cdots & cdots &
29.      cdots & cdots \[0.5em]
30.
31.       frac{delta e_{P,M}}{delta w_{1,1}}  & frac{delta e_{P,M}}{delta w_{1,2}} &
32.       cdots & frac{delta e_{P,M}}{delta w_{j,1}}  & cdots \[0.5em]
33.       end{bmatrix} %!!
34.       begin{aligned}
35.       &left.begin{matrix}
36.       m = 1  \[0.5em]
37.       m = 2  \[0.5em]
38.       cdots \[0.5em]
39.       m = M  \[0.5em]
40.       end{matrix} right} %
41.       p = 1\
42.       &begin{matrix}
43.       phantom{cdots}cdots\[0.5em]
44.       end{matrix}\ %
45.       &left.begin{matrix}
46.       m = 1  \[0.5em]
47.       m = 2  \[0.5em]
48.       cdots \[0.5em]
49.       m = M\[0.5em]
50.       end{matrix}right}%
51.       p = P\
52.      end{aligned}
53.      end{matrix}
54.      end{equation}
55.
56. documentclass{article}
57. usepackage{amsmath}
58. usepackage{xcolor}
59.
60. newcommandovermat[2]{%
61.   makebox[0pt][l]{\$smash{color{white}overbrace{phantom{%
62.     begin{matrix}#2end{matrix}}}^{text{color{black}#1}}}\$}#2}
63. newcommandpartialphantom{vphantom{frac{partial e_{P,M}}{partial w_{1,1}}}}
64.
65. begin{document}
66.
67. begin{equation}
68. begin{matrix}
69.  J
70.  =
71.  begin{bmatrix}
72.  overmat{neuron 1}{frac{partial e_{1,1}}{partial w_{1,1}}  & frac{partial e_{1,1}}{partial w_{1,2}}} &
73.  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]
74. %
75.  frac{partial e_{1,2}}{partial w_{1,1}}  & frac{partial e_{1,2}}{partial w_{1,2}} &
76.  cdots & frac{partial e_{1,2}}{partial w_{j,1}}  & cdots \[0.5em]
77. %
78.  cdots & cdots & cdots &
79.  cdots & cdots \[0.5em]
80. %
81.  frac{partial e_{1,M}}{partial w_{1,1}}  & frac{partial e_{1,M}}{partial w_{1,2}} &
82.  cdots & frac{partial e_{1,M}}{partial w_{j,1}}  & cdots \[0.5em]
83. %
84.  cdots & cdots & cdots &
85.  cdots & cdots \[0.5em]
86. %
87.  frac{partial e_{P,1}}{partial w_{1,1}}  & frac{partial e_{P,1}}{partial w_{1,2}} &
88.  cdots & frac{partial e_{P,1}}{partial w_{j,1}}  & cdots \[0.5em]
89. %
90.  frac{partial e_{P,1}}{partial w_{1,1}}  & frac{partial e_{np,2}}{partial w_{1,2}} &
91.  cdots & frac{partial e_{P,2}}{partial w_{j,1}}  & cdots \[0.5em]
92. %
93.  cdots & cdots & cdots &
94.  cdots & cdots \[0.5em]
95. %
96.   frac{partial e_{P,M}}{partial w_{1,1}}  & frac{partial e_{P,M}}{partial w_{1,2}} &
97.   cdots & frac{partial e_{P,M}}{partial w_{j,1}}  & cdots \[0.5em]
98.   end{bmatrix}
99.   begin{aligned}
100.   &left.begin{matrix}
101.   partialphantom m = 1  \[0.5em]
102.   partialphantom m = 2  \[0.5em]
103.   cdots \[0.5em]
104.   partialphantom m = M  \[0.5em]
105.   end{matrix} right} %
106.   p = 1\
107.   &begin{matrix}
108.   \[-1.67em]phantom{cdots}cdots
109.   end{matrix}\ %
110.   &left.begin{matrix}
111.   partialphantom m = 1  \[0.5em]
112.   partialphantom m = 2  \[0.5em]
113.   cdots \[0.5em]
114.   partialphantom m = M\[0.5em]
115.   end{matrix}right}%
116.   p = P\
117.  end{aligned}
118.  end{matrix}
119.  end{equation}
120.
121. end{document}
122.
123. documentclass{article}
124. usepackage{amsmath}
125. usepackage{xcolor}
126.
127. newcommandovermat[2]{%
128.   makebox[0pt][l]{\$smash{color{white}overbrace{phantom{%
129.     begin{matrix}#2end{matrix}}}^{text{color{black}#1}}}\$}#2}
130. newcommandbovermat[2]{%
131.   makebox[0pt][l]{\$smash{overbrace{phantom{%
132.     begin{matrix}#2end{matrix}}}^{text{#1}}}\$}#2}
133. newcommandpartialphantom{vphantom{frac{partial e_{P,M}}{partial w_{1,1}}}}
134.
135. begin{document}
136.
137. begin{equation}
138. begin{matrix}
139.  J
140.  =
141.  begin{bmatrix}
142.  bovermat{neuron 1}{frac{partial e_{1,1}}{partial w_{1,1}}  & frac{partial e_{1,1}}{partial w_{1,2}}} &
143.  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]
144. %
145.  frac{partial e_{1,2}}{partial w_{1,1}}  & frac{partial e_{1,2}}{partial w_{1,2}} &
146.  cdots & frac{partial e_{1,2}}{partial w_{j,1}}  & cdots \[0.5em]
147. %
148.  cdots & cdots & cdots &
149.  cdots & cdots \[0.5em]
150. %
151.  frac{partial e_{1,M}}{partial w_{1,1}}  & frac{partial e_{1,M}}{partial w_{1,2}} &
152.  cdots & frac{partial e_{1,M}}{partial w_{j,1}}  & cdots \[0.5em]
153. %
154.  cdots & cdots & cdots &
155.  cdots & cdots \[0.5em]
156. %
157.  frac{partial e_{P,1}}{partial w_{1,1}}  & frac{partial e_{P,1}}{partial w_{1,2}} &
158.  cdots & frac{partial e_{P,1}}{partial w_{j,1}}  & cdots \[0.5em]
159. %
160.  frac{partial e_{P,1}}{partial w_{1,1}}  & frac{partial e_{np,2}}{partial w_{1,2}} &
161.  cdots & frac{partial e_{P,2}}{partial w_{j,1}}  & cdots \[0.5em]
162. %
163.  cdots & cdots & cdots &
164.  cdots & cdots \[0.5em]
165. %
166.   frac{partial e_{P,M}}{partial w_{1,1}}  & frac{partial e_{P,M}}{partial w_{1,2}} &
167.   cdots & frac{partial e_{P,M}}{partial w_{j,1}}  & cdots \[0.5em]
168.   end{bmatrix}
169.   begin{aligned}
170.   &left.begin{matrix}
171.   partialphantom m = 1  \[0.5em]
172.   partialphantom m = 2  \[0.5em]
173.   cdots \[0.5em]
174.   partialphantom m = M  \[0.5em]
175.   end{matrix} right} %
176.   p = 1\
177.   &begin{matrix}
178.   \[-1.67em]phantom{cdots}cdots
179.   end{matrix}\ %
180.   &left.begin{matrix}
181.   partialphantom m = 1  \[0.5em]
182.   partialphantom m = 2  \[0.5em]
183.   cdots \[0.5em]
184.   partialphantom m = M\[0.5em]
185.   end{matrix}right}%
186.   p = P\
187.  end{aligned}
188.  end{matrix}
189.  end{equation}
190.
191. end{document}
192.
193. documentclass{article}
194. usepackage{amsmath}
195.
196. [
197. begin{array}{| c | c | c | c | c | c | c | c | c | c |}
198. multicolumn{3}{c}{rho_1 } &
199. multicolumn{3}{c}{rho_2} &
200. multicolumn{1}{c}{  }   &
201. multicolumn{3}{c}{rho_k} \
202. %
203. multicolumn{3}{c}{overbrace{rule{4cm}{0pt}}} &
204. multicolumn{3}{c}{overbrace{rule{4cm}{0pt}}} &
205. multicolumn{1}{c}{  }   &
206. multicolumn{3}{c}{overbrace{rule{4cm}{0pt}}} \[-3pt]
207. hline
208. p(t_1) & cdots & p^{(rho_1-1)}(t_1) & p(t_2) & cdots &
209. p^{(rho_2-1)}(t_2) & cdots  & p(t_k) & cdots &
210. p^{(rho_k-1)}(t_k) \
211. hline
212. end{array}
213. ]
214.
215. end{document}
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