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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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