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6 \pagestyle{empty} |
6 \pagestyle{empty} |
7 |
7 |
8 \begin{document} |
8 \begin{document} |
9 \thispagestyle{empty} |
9 \thispagestyle{empty} |
10 |
10 |
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11 \newcommand{\tm}{\widetilde{m}} |
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12 \newcommand{\ttm}{\widetilde{\widetilde{m}}} |
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13 |
11 \begin{align*} |
14 \begin{align*} |
12 c_1 \tensor c_2 1 \tensor 1 * |
15 \bdy(\tm_4(a \tensor b \tensor c \tensor d)) & = (\tm_4(\bdy a \tensor b \tensor c \tensor d) + \cdots + \tm_4(a \tensor b \tensor c \tensor \bdy d)) + \\ |
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16 & + (\tm_3(a \tensor b \tensor c) \tensor d + \tm_2(a \tensor b) \tensor \tm_2(c \tensor d) + a \tensor \tm_3(b \tensor c \tensor d)) + \\ |
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17 & + (\tm_3(m_2(a \tensor b) \tensor c \tensor d) + \tm_3(a \tensor m_2(b \tensor c) \tensor d) + \tm_3(a \tensor b \tensor m_2(c \tensor d)) + \\ |
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18 & + \tm_2(m_3(a \tensor b \tensor c) \tensor d) + \tm_2(a \tensor m_3(b \tensor c \tensor d)) + m_4(a \tensor b \tensor c \tensor d)) \\ |
13 \end{align*} |
19 \end{align*} |
14 \end{document} |
20 \end{document} |