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HeatedRod_sm.tex ( -o -ss)

MTT command:
mtt -o -ss HeatedRod sm tex

$\displaystyle A_{11} = {{\left ( - 2\right )} \over {\left (c_{t} r_{t}\right )}}\cr$ (7.7)

$\displaystyle A_{12} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.8)

$\displaystyle A_{21} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.9)

$\displaystyle A_{22} = {{\left ( - 2\right )} \over {\left (c_{t} r_{t}\right )}}\cr$ (7.10)

$\displaystyle A_{{23}} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.11)

$\displaystyle A_{32} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.12)

$\displaystyle A_{33} = {{\left ( - 2\right )} \over {\left (c_{t} r_{t}\right )}}\cr$ (7.13)

$\displaystyle A_{34} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.14)

$\displaystyle A_{43} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.15)

$\displaystyle A_{44} = {{\left ( - 2\right )} \over {\left (c_{t} r_{t}\right )}}\cr$ (7.16)

$\displaystyle A_{45} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.17)

$\displaystyle A_{54} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.18)

$\displaystyle A_{55} = {{\left ( - 2\right )} \over {\left (c_{t} r_{t}\right )}}\cr$ (7.19)

$\displaystyle A_{56} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.20)

$\displaystyle A_{65} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.21)

$\displaystyle A_{66} = {{\left ( - 2\right )} \over {\left (c_{t} r_{t}\right )}}\cr$ (7.22)

$\displaystyle A_{67} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.23)

$\displaystyle A_{76} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.24)

$\displaystyle A_{77} = {{\left ( - 2\right )} \over {\left (c_{t} r_{t}\right )}}\cr$ (7.25)

$\displaystyle A_{78} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.26)

$\displaystyle A_{87} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.27)

$\displaystyle A_{88} = {{\left ( - 2\right )} \over {\left (c_{t} r_{t}\right )}}\cr$ (7.28)

$\displaystyle A_{89} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.29)

$\displaystyle A_{98} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.30)

$\displaystyle A_{99} = {{\left ( - 2\right )} \over {\left (c_{t} r_{t}\right )}}\cr$ (7.31)

$\displaystyle A_{910} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.32)

$\displaystyle A_{109} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.33)

$\displaystyle A_{1010} = {{\left ( - 2\right )} \over {\left (c_{t} r_{t}\right )}}\cr$ (7.34)

$\displaystyle A_{1011} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.35)

$\displaystyle A_{1110} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.36)

$\displaystyle A_{1111} = {{\left ( - 2\right )} \over {\left (c_{t} r_{t}\right )}}\cr$ (7.37)

$\displaystyle A_{1112} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.38)

$\displaystyle A_{1211} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.39)

$\displaystyle A_{1212} = {{\left ( - 2\right )} \over {\left (c_{t} r_{t}\right )}}\cr$ (7.40)

$\displaystyle A_{1213} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.41)

$\displaystyle A_{1312} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.42)

$\displaystyle A_{1313} = {{\left ( - 2\right )} \over {\left (c_{t} r_{t}\right )}}\cr$ (7.43)

$\displaystyle A_{1314} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.44)

$\displaystyle A_{1413} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.45)

$\displaystyle A_{1414} = {{\left ( - 2\right )} \over {\left (c_{t} r_{t}\right )}}\cr$ (7.46)

$\displaystyle A_{1415} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.47)

$\displaystyle A_{1514} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.48)

$\displaystyle A_{1515} = {{\left ( - 2\right )} \over {\left (c_{t} r_{t}\right )}}\cr$ (7.49)

$\displaystyle A_{1516} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.50)

$\displaystyle A_{1615} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.51)

$\displaystyle A_{1616} = {{\left ( - 2\right )} \over {\left (c_{t} r_{t}\right )}}\cr$ (7.52)

$\displaystyle A_{1617} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.53)

$\displaystyle A_{1716} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.54)

$\displaystyle A_{1717} = {{\left ( - 2\right )} \over {\left (c_{t} r_{t}\right )}}\cr$ (7.55)

$\displaystyle A_{1718} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.56)

$\displaystyle A_{1817} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.57)

$\displaystyle A_{1818} = {{\left ( - 2\right )} \over {\left (c_{t} r_{t}\right )}}\cr$ (7.58)

$\displaystyle A_{1819} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.59)

$\displaystyle A_{1918} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.60)

$\displaystyle A_{1919} = {{\left ( - 2\right )} \over {\left (c_{t} r_{t}\right )}}\cr$ (7.61)

$\displaystyle A_{1920} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.62)

$\displaystyle A_{2019} = {1 \over {\left (c_{t} r_{t}\right )}}\cr$ (7.63)

$\displaystyle A_{2020} = {{\left ( - {\left (r_{2} + r_{t}\right )}\right )} \over {\left (c_{t} r_{2} r_{t}\right )}}\cr$ (7.64)

$\displaystyle B = \begin{pmatrix}{2 r} \cr {2 r} \cr {2 r} \cr {2 r} \cr {2 r} ...
...{2 r} \cr {2 r} \cr {2 r} \cr {2 r} \cr {2 r} \cr {2 r} \cr {2 r} \end{pmatrix}$ (7.65)

$\displaystyle C_{11} = {1 \over c_{t}}\cr$ (7.66)

$\displaystyle C_{22} = {1 \over c_{t}}\cr$ (7.67)

$\displaystyle C_{33} = {1 \over c_{t}}\cr$ (7.68)

$\displaystyle C_{44} = {1 \over c_{t}}\cr$ (7.69)

$\displaystyle C_{55} = {1 \over c_{t}}\cr$ (7.70)

$\displaystyle C_{66} = {1 \over c_{t}}\cr$ (7.71)

$\displaystyle C_{77} = {1 \over c_{t}}\cr$ (7.72)

$\displaystyle C_{88} = {1 \over c_{t}}\cr$ (7.73)

$\displaystyle C_{99} = {1 \over c_{t}}\cr$ (7.74)

$\displaystyle C_{1010} = {1 \over c_{t}}\cr$ (7.75)

$\displaystyle C_{1111} = {1 \over c_{t}}\cr$ (7.76)

$\displaystyle C_{1212} = {1 \over c_{t}}\cr$ (7.77)

$\displaystyle C_{1313} = {1 \over c_{t}}\cr$ (7.78)

$\displaystyle C_{1414} = {1 \over c_{t}}\cr$ (7.79)

$\displaystyle C_{1515} = {1 \over c_{t}}\cr$ (7.80)

$\displaystyle C_{1616} = {1 \over c_{t}}\cr$ (7.81)

$\displaystyle C_{1717} = {1 \over c_{t}}\cr$ (7.82)

$\displaystyle C_{1818} = {1 \over c_{t}}\cr$ (7.83)

$\displaystyle C_{1919} = {1 \over c_{t}}\cr$ (7.84)

$\displaystyle C_{2020} = {1 \over c_{t}}\cr$ (7.85)

$\displaystyle D = \begin{pmatrix}{0} \end{pmatrix}$ (7.86)


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