https://github.com/nikiforovavas/the_perturbations
Tip revision: 25262796111ac9f629734af8176d948bfe03521f authored by Vasilisa Nikiforova on 08 November 2017, 21:35:36 UTC
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Sixth part_html1.html
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<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_1.gif" width="296" height="17" alt="" align="center" border="0"></td>
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<td valign="top" align="center"><font color="#0000ff" size="3" face="Times New Roman"><img src="images/Sixth part_html_2.gif" width="14" height="14" alt="0" align="center" border="0"></td>
<td width='5%' align='center'>(1)</td>
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<td valign="top"><img src="images/Sixth part_html_3.gif" width="156" height="14" alt="fopen(`Eq8_13. mw`, READ); 1" align="center" border="0"></td>
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<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_4.gif" width="111" height="14" alt="read `Eq8_13. mw`; -1" align="center" border="0"></td>
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<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_5.gif" width="156" height="14" alt="fopen(`Eq6_13. mw`, READ); 1" align="center" border="0"></td>
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<td valign="top" align="center"><font color="#0000ff" size="3" face="Times New Roman"><img src="images/Sixth part_html_6.gif" width="14" height="14" alt="1" align="center" border="0"></td>
<td width='5%' align='center'>(2)</td>
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<p align="left"><table>
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<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_7.gif" width="111" height="14" alt="read `Eq6_13. mw`; -1" align="center" border="0"></td>
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<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_8.gif" width="156" height="14" alt="fopen(`Eq3_13. mw`, READ); 1" align="center" border="0"></td>
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<td valign="top" align="center"><font color="#0000ff" size="3" face="Times New Roman"><img src="images/Sixth part_html_9.gif" width="14" height="14" alt="2" align="center" border="0"></td>
<td width='5%' align='center'>(3)</td>
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<p align="left"><table>
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<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_10.gif" width="111" height="14" alt="read `Eq3_13. mw`; -1" align="center" border="0"></td>
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<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_11.gif" width="156" height="14" alt="fopen(`Eq5_13. mw`, READ); 1" align="center" border="0"></td>
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<td valign="top" align="center"><font color="#0000ff" size="3" face="Times New Roman"><img src="images/Sixth part_html_12.gif" width="14" height="14" alt="3" align="center" border="0"></td>
<td width='5%' align='center'>(4)</td>
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<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_13.gif" width="111" height="14" alt="read `Eq5_13. mw`; -1" align="center" border="0"></td>
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<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_14.gif" width="226" height="14" alt="" align="center" border="0"></td>
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<td valign="top"><img src="images/Sixth part_html_15.gif" width="576" height="14" alt="newser := proc (fe, x, p) local nu, s, i, t, fe2; fe2 := collect(expand(fe), x); nu := degree(fe2, x); if `<`(nu, p) then t := nu else t := p end if; s := 0; for i from 0 to `+`(t, `-`(1)) do s := `+`..." align="center" border="0"><br><img src="images/Sixth part_html_16.gif" width="576" height="17" alt="newser := proc (fe, x, p) local nu, s, i, t, fe2; fe2 := collect(expand(fe), x); nu := degree(fe2, x); if `<`(nu, p) then t := nu else t := p end if; s := 0; for i from 0 to `+`(t, `-`(1)) do s := `+`..." align="center" border="0"><br><img src="images/Sixth part_html_17.gif" width="576" height="14" alt="newser := proc (fe, x, p) local nu, s, i, t, fe2; fe2 := collect(expand(fe), x); nu := degree(fe2, x); if `<`(nu, p) then t := nu else t := p end if; s := 0; for i from 0 to `+`(t, `-`(1)) do s := `+`..." align="center" border="0"></td>
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<td valign="top"><img src="images/Sixth part_html_18.gif" width="219" height="14" alt="" align="center" border="0"></td>
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<td valign="top"><img src="images/Sixth part_html_19.gif" width="576" height="33" alt="E1z := subs({}, expand(`+`(`/`(`*`(`+`(`-`(`*`(`*`(4, I), `*`(`^`(k, 2), `*`(b, `*`(f))))), `-`(`*`(`*`(6, I), `*`(`^`(k, 2), `*`(f)))), `*`(`*`(3, I), `*`(l, `*`(`^`(f, 2), `*`(b)))), `-`(`*`(`*`(6, ..." align="center" border="0"><br><img src="images/Sixth part_html_20.gif" width="576" height="33" alt="E1z := subs({}, expand(`+`(`/`(`*`(`+`(`-`(`*`(`*`(4, I), `*`(`^`(k, 2), `*`(b, `*`(f))))), `-`(`*`(`*`(6, I), `*`(`^`(k, 2), `*`(f)))), `*`(`*`(3, I), `*`(l, `*`(`^`(f, 2), `*`(b)))), `-`(`*`(`*`(6, ..." align="center" border="0"><br><img src="images/Sixth part_html_21.gif" width="576" height="33" alt="E1z := subs({}, expand(`+`(`/`(`*`(`+`(`-`(`*`(`*`(4, I), `*`(`^`(k, 2), `*`(b, `*`(f))))), `-`(`*`(`*`(6, I), `*`(`^`(k, 2), `*`(f)))), `*`(`*`(3, I), `*`(l, `*`(`^`(f, 2), `*`(b)))), `-`(`*`(`*`(6, ..." align="center" border="0"></td>
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<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_22.gif" width="576" height="33" alt="E2z := subs({}, expand(`+`(`/`(`*`(`+`(`-`(`*`(`*`(4, I), `*`(`^`(k, 2), `*`(b, `*`(f))))), `-`(`*`(`*`(6, I), `*`(`^`(k, 2), `*`(f)))), `*`(`*`(3, I), `*`(l, `*`(`^`(f, 2), `*`(b)))), `-`(`*`(`*`(6, ..." align="center" border="0"><br><img src="images/Sixth part_html_23.gif" width="576" height="33" alt="E2z := subs({}, expand(`+`(`/`(`*`(`+`(`-`(`*`(`*`(4, I), `*`(`^`(k, 2), `*`(b, `*`(f))))), `-`(`*`(`*`(6, I), `*`(`^`(k, 2), `*`(f)))), `*`(`*`(3, I), `*`(l, `*`(`^`(f, 2), `*`(b)))), `-`(`*`(`*`(6, ..." align="center" border="0"></td>
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<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_24.gif" width="194" height="14" alt="E3z := subs({}, expand(Eq3_13)); -1" align="center" border="0"></td>
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<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_25.gif" width="484" height="33" alt="E4z := subs({}, expand(`+`(`/`(`*`(`+`(`*`(`*`(5, I), `*`(l, `*`(`^`(k, 2)))), `*`(`*`(2, I), `*`(`^`(k, 2), `*`(f)))), `*`(Eq3_13, `*`(n))), `*`(l)), `/`(`*`(`*`(2, I), `*`(`^`(k, 2), `*`(f, `*`(Eq5_..." align="center" border="0"></td>
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<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_26.gif" width="576" height="16" alt="E10 := `+`(factor(newser(subs({Q = 0, Q__x = 0, u = 0, u__x = 0, `χ__x` = 0, `ψ__x` = 0}, E1z), f, 4)), factor(newser(subs({Q = 0, Q__x = 0, chi = 0, psi = 0, u = 0, u__x = 0, `χ__x` = 0},..." align="center" border="0"><br><img src="images/Sixth part_html_27.gif" width="576" height="16" alt="E10 := `+`(factor(newser(subs({Q = 0, Q__x = 0, u = 0, u__x = 0, `χ__x` = 0, `ψ__x` = 0}, E1z), f, 4)), factor(newser(subs({Q = 0, Q__x = 0, chi = 0, psi = 0, u = 0, u__x = 0, `χ__x` = 0},..." align="center" border="0"><br><img src="images/Sixth part_html_28.gif" width="576" height="16" alt="E10 := `+`(factor(newser(subs({Q = 0, Q__x = 0, u = 0, u__x = 0, `χ__x` = 0, `ψ__x` = 0}, E1z), f, 4)), factor(newser(subs({Q = 0, Q__x = 0, chi = 0, psi = 0, u = 0, u__x = 0, `χ__x` = 0},..." align="center" border="0"><br><img src="images/Sixth part_html_29.gif" width="576" height="16" alt="E10 := `+`(factor(newser(subs({Q = 0, Q__x = 0, u = 0, u__x = 0, `χ__x` = 0, `ψ__x` = 0}, E1z), f, 4)), factor(newser(subs({Q = 0, Q__x = 0, chi = 0, psi = 0, u = 0, u__x = 0, `χ__x` = 0},..." align="center" border="0"><br><img src="images/Sixth part_html_30.gif" width="576" height="16" alt="E10 := `+`(factor(newser(subs({Q = 0, Q__x = 0, u = 0, u__x = 0, `χ__x` = 0, `ψ__x` = 0}, E1z), f, 4)), factor(newser(subs({Q = 0, Q__x = 0, chi = 0, psi = 0, u = 0, u__x = 0, `χ__x` = 0},..." align="center" border="0"></td>
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<td valign="top"><img src="images/Sixth part_html_31.gif" width="576" height="16" alt="E20 := `+`(factor(newser(subs({Q = 0, Q__x = 0, u = 0, u__x = 0, `χ__x` = 0, `ψ__x` = 0}, E2z), f, 4)), factor(newser(subs({Q = 0, Q__x = 0, chi = 0, psi = 0, u = 0, u__x = 0, `χ__x` = 0},..." align="center" border="0"><br><img src="images/Sixth part_html_32.gif" width="576" height="16" alt="E20 := `+`(factor(newser(subs({Q = 0, Q__x = 0, u = 0, u__x = 0, `χ__x` = 0, `ψ__x` = 0}, E2z), f, 4)), factor(newser(subs({Q = 0, Q__x = 0, chi = 0, psi = 0, u = 0, u__x = 0, `χ__x` = 0},..." align="center" border="0"><br><img src="images/Sixth part_html_33.gif" width="576" height="16" alt="E20 := `+`(factor(newser(subs({Q = 0, Q__x = 0, u = 0, u__x = 0, `χ__x` = 0, `ψ__x` = 0}, E2z), f, 4)), factor(newser(subs({Q = 0, Q__x = 0, chi = 0, psi = 0, u = 0, u__x = 0, `χ__x` = 0},..." align="center" border="0"><br><img src="images/Sixth part_html_34.gif" width="576" height="16" alt="E20 := `+`(factor(newser(subs({Q = 0, Q__x = 0, u = 0, u__x = 0, `χ__x` = 0, `ψ__x` = 0}, E2z), f, 4)), factor(newser(subs({Q = 0, Q__x = 0, chi = 0, psi = 0, u = 0, u__x = 0, `χ__x` = 0},..." align="center" border="0"></td>
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<td valign="top"><img src="images/Sixth part_html_35.gif" width="576" height="16" alt="E30 := `+`(factor(newser(subs({Q = 0, Q__x = 0, u = 0, u__x = 0, `χ__x` = 0, `ψ__x` = 0}, E3z), f, 4)), factor(newser(subs({Q__x = 0, chi = 0, psi = 0, u__x = 0, `χ__x` = 0}, E3z), f, 4)),..." align="center" border="0"><br><img src="images/Sixth part_html_36.gif" width="576" height="16" alt="E30 := `+`(factor(newser(subs({Q = 0, Q__x = 0, u = 0, u__x = 0, `χ__x` = 0, `ψ__x` = 0}, E3z), f, 4)), factor(newser(subs({Q__x = 0, chi = 0, psi = 0, u__x = 0, `χ__x` = 0}, E3z), f, 4)),..." align="center" border="0"><br><img src="images/Sixth part_html_37.gif" width="576" height="16" alt="E30 := `+`(factor(newser(subs({Q = 0, Q__x = 0, u = 0, u__x = 0, `χ__x` = 0, `ψ__x` = 0}, E3z), f, 4)), factor(newser(subs({Q__x = 0, chi = 0, psi = 0, u__x = 0, `χ__x` = 0}, E3z), f, 4)),..." align="center" border="0"><br><img src="images/Sixth part_html_38.gif" width="576" height="16" alt="E30 := `+`(factor(newser(subs({Q = 0, Q__x = 0, u = 0, u__x = 0, `χ__x` = 0, `ψ__x` = 0}, E3z), f, 4)), factor(newser(subs({Q__x = 0, chi = 0, psi = 0, u__x = 0, `χ__x` = 0}, E3z), f, 4)),..." align="center" border="0"></td>
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<td valign="top"><img src="images/Sixth part_html_39.gif" width="576" height="16" alt="E40 := `+`(factor(newser(subs({Q = 0, Q__x = 0, u = 0, u__x = 0, `χ__x` = 0, `ψ__x` = 0}, E4z), f, 4)), factor(newser(subs({Q = 0, Q__x = 0, chi = 0, psi = 0, u = 0, u__x = 0, `χ__x` = 0},..." align="center" border="0"><br><img src="images/Sixth part_html_40.gif" width="576" height="16" alt="E40 := `+`(factor(newser(subs({Q = 0, Q__x = 0, u = 0, u__x = 0, `χ__x` = 0, `ψ__x` = 0}, E4z), f, 4)), factor(newser(subs({Q = 0, Q__x = 0, chi = 0, psi = 0, u = 0, u__x = 0, `χ__x` = 0},..." align="center" border="0"><br><img src="images/Sixth part_html_41.gif" width="576" height="16" alt="E40 := `+`(factor(newser(subs({Q = 0, Q__x = 0, u = 0, u__x = 0, `χ__x` = 0, `ψ__x` = 0}, E4z), f, 4)), factor(newser(subs({Q = 0, Q__x = 0, chi = 0, psi = 0, u = 0, u__x = 0, `χ__x` = 0},..." align="center" border="0"><br><img src="images/Sixth part_html_42.gif" width="576" height="16" alt="E40 := `+`(factor(newser(subs({Q = 0, Q__x = 0, u = 0, u__x = 0, `χ__x` = 0, `ψ__x` = 0}, E4z), f, 4)), factor(newser(subs({Q = 0, Q__x = 0, chi = 0, psi = 0, u = 0, u__x = 0, `χ__x` = 0},..." align="center" border="0"></td>
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<td valign="top"><img src="images/Sixth part_html_43.gif" width="561" height="14" alt="E10_2 := subs({Q__x = `*`(I, `*`(omega, `*`(Q))), u__x = `*`(I, `*`(omega, `*`(u))), `χ__x` = `*`(I, `*`(omega, `*`(chi))), `ψ__x` = `*`(I, `*`(omega, `*`(psi)))}, E10); -1" align="center" border="0"></td>
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<td valign="top"><img src="images/Sixth part_html_44.gif" width="561" height="14" alt="E20_2 := subs({Q__x = `*`(I, `*`(omega, `*`(Q))), u__x = `*`(I, `*`(omega, `*`(u))), `χ__x` = `*`(I, `*`(omega, `*`(chi))), `ψ__x` = `*`(I, `*`(omega, `*`(psi)))}, E20); -1" align="center" border="0"></td>
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<td valign="top"><img src="images/Sixth part_html_45.gif" width="561" height="14" alt="E30_2 := subs({Q__x = `*`(I, `*`(omega, `*`(Q))), u__x = `*`(I, `*`(omega, `*`(u))), `χ__x` = `*`(I, `*`(omega, `*`(chi))), `ψ__x` = `*`(I, `*`(omega, `*`(psi)))}, E30); -1" align="center" border="0"></td>
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<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_46.gif" width="561" height="14" alt="E40_2 := subs({Q__x = `*`(I, `*`(omega, `*`(Q))), u__x = `*`(I, `*`(omega, `*`(u))), `χ__x` = `*`(I, `*`(omega, `*`(chi))), `ψ__x` = `*`(I, `*`(omega, `*`(psi)))}, E40); -1" align="center" border="0"></td>
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<tr>
<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_47.gif" width="576" height="14" alt="a__1 := subs({Q = 0, chi = 0, psi = 1, u = 0}, E10_2); -1; a__2 := subs({Q = 0, chi = 1, psi = 0, u = 0}, E10_2); -1; a__3 := subs({Q = 1, chi = 0, psi = 0, u = 0}, E10_2); -1; a__4 := subs({Q = 0, ch..." align="center" border="0"><br><img src="images/Sixth part_html_48.gif" width="576" height="14" alt="a__1 := subs({Q = 0, chi = 0, psi = 1, u = 0}, E10_2); -1; a__2 := subs({Q = 0, chi = 1, psi = 0, u = 0}, E10_2); -1; a__3 := subs({Q = 1, chi = 0, psi = 0, u = 0}, E10_2); -1; a__4 := subs({Q = 0, ch..." align="center" border="0"><br><img src="images/Sixth part_html_49.gif" width="576" height="14" alt="a__1 := subs({Q = 0, chi = 0, psi = 1, u = 0}, E10_2); -1; a__2 := subs({Q = 0, chi = 1, psi = 0, u = 0}, E10_2); -1; a__3 := subs({Q = 1, chi = 0, psi = 0, u = 0}, E10_2); -1; a__4 := subs({Q = 0, ch..." align="center" border="0"></td>
</tr>
</table> </p>
<p align="left"><table>
<tr>
<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_50.gif" width="576" height="14" alt="b__1 := subs({Q = 0, chi = 0, psi = 1, u = 0}, E20_2); -1; b__2 := subs({Q = 0, chi = 1, psi = 0, u = 0}, E20_2); -1; b__3 := subs({Q = 1, chi = 0, psi = 0, u = 0}, E20_2); -1; b__4 := subs({Q = 0, ch..." align="center" border="0"><br><img src="images/Sixth part_html_51.gif" width="576" height="14" alt="b__1 := subs({Q = 0, chi = 0, psi = 1, u = 0}, E20_2); -1; b__2 := subs({Q = 0, chi = 1, psi = 0, u = 0}, E20_2); -1; b__3 := subs({Q = 1, chi = 0, psi = 0, u = 0}, E20_2); -1; b__4 := subs({Q = 0, ch..." align="center" border="0"><br><img src="images/Sixth part_html_52.gif" width="576" height="14" alt="b__1 := subs({Q = 0, chi = 0, psi = 1, u = 0}, E20_2); -1; b__2 := subs({Q = 0, chi = 1, psi = 0, u = 0}, E20_2); -1; b__3 := subs({Q = 1, chi = 0, psi = 0, u = 0}, E20_2); -1; b__4 := subs({Q = 0, ch..." align="center" border="0"></td>
</tr>
</table> </p>
<p align="left"><table>
<tr>
<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"></td>
</tr>
</table> </p>
<p align="left"><table>
<tr>
<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_53.gif" width="576" height="14" alt="c__1 := subs({Q = 0, chi = 0, psi = 1, u = 0}, E30_2); -1; c__2 := subs({Q = 0, chi = 1, psi = 0, u = 0}, E30_2); -1; c__3 := subs({Q = 1, chi = 0, psi = 0, u = 0}, E30_2); -1; c__4 := subs({Q = 0, ch..." align="center" border="0"><br><img src="images/Sixth part_html_54.gif" width="576" height="14" alt="c__1 := subs({Q = 0, chi = 0, psi = 1, u = 0}, E30_2); -1; c__2 := subs({Q = 0, chi = 1, psi = 0, u = 0}, E30_2); -1; c__3 := subs({Q = 1, chi = 0, psi = 0, u = 0}, E30_2); -1; c__4 := subs({Q = 0, ch..." align="center" border="0"><br><img src="images/Sixth part_html_55.gif" width="576" height="14" alt="c__1 := subs({Q = 0, chi = 0, psi = 1, u = 0}, E30_2); -1; c__2 := subs({Q = 0, chi = 1, psi = 0, u = 0}, E30_2); -1; c__3 := subs({Q = 1, chi = 0, psi = 0, u = 0}, E30_2); -1; c__4 := subs({Q = 0, ch..." align="center" border="0"></td>
</tr>
</table> </p>
<p align="left"><table>
<tr>
<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_56.gif" width="576" height="14" alt="d__1 := subs({Q = 0, chi = 0, psi = 1, u = 0}, E40_2); -1; d__2 := subs({Q = 0, chi = 1, psi = 0, u = 0}, E40_2); -1; d__3 := subs({Q = 1, chi = 0, psi = 0, u = 0}, E40_2); -1; d__4 := subs({Q = 0, ch..." align="center" border="0"><br><img src="images/Sixth part_html_57.gif" width="576" height="14" alt="d__1 := subs({Q = 0, chi = 0, psi = 1, u = 0}, E40_2); -1; d__2 := subs({Q = 0, chi = 1, psi = 0, u = 0}, E40_2); -1; d__3 := subs({Q = 1, chi = 0, psi = 0, u = 0}, E40_2); -1; d__4 := subs({Q = 0, ch..." align="center" border="0"><br><img src="images/Sixth part_html_58.gif" width="576" height="14" alt="d__1 := subs({Q = 0, chi = 0, psi = 1, u = 0}, E40_2); -1; d__2 := subs({Q = 0, chi = 1, psi = 0, u = 0}, E40_2); -1; d__3 := subs({Q = 1, chi = 0, psi = 0, u = 0}, E40_2); -1; d__4 := subs({Q = 0, ch..." align="center" border="0"></td>
</tr>
</table> </p>
<p align="left"><table>
<tr>
<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_59.gif" width="119" height="14" alt="with(LinearAlgebra); -1" align="center" border="0"></td>
</tr>
</table> </p>
<p align="left"><table>
<tr>
<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"></td>
</tr>
</table> </p>
<p align="left"><table>
<tr>
<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_60.gif" width="95" height="14" alt="" align="center" border="0"></td>
</tr>
</table> </p>
<p align="left"><table>
<tr>
<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_61.gif" width="576" height="14" alt="M10 := Matrix([[a__1, a__2, a__3, a__4], [b__1, b__2, b__3, b__4], [c__1, c__2, c__3, c__4], [d__1, d__2, d__3, d__4]]); -1" align="center" border="0"><br><img src="images/Sixth part_html_62.gif" width="576" height="14" alt="M10 := Matrix([[a__1, a__2, a__3, a__4], [b__1, b__2, b__3, b__4], [c__1, c__2, c__3, c__4], [d__1, d__2, d__3, d__4]]); -1" align="center" border="0"></td>
</tr>
</table> </p>
<p align="left"><table>
<tr>
<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_63.gif" width="142" height="14" alt="ss := Determinant(M10); -1" align="center" border="0"></td>
</tr>
</table> </p>
<p align="left"><table>
<tr>
<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"></td>
</tr>
</table> </p>
<p align="left"><table>
<tr>
<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_64.gif" width="220" height="14" alt="fk := `ss 2 orders small k.mw`; 1; save ss, fk; -1" align="center" border="0"></td>
</tr>
</table> </p>
<p align="center"><table width='100%'>
<tr>
<td valign="top" align="center"><font color="#0000ff" size="3" face="Times New Roman"><img src="images/Sixth part_html_65.gif" width="143" height="14" alt="`ss 2 orders small k.mw`" align="center" border="0"></td>
<td width='5%' align='center'>(5)</td>
</tr>
</table></font> </p>
<p align="left"><table>
<tr>
<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"></td>
</tr>
</table> </p>
<p align="left"><table>
<tr>
<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"></td>
</tr>
</table> </p>
<p align="left"><table>
<tr>
<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_66.gif" width="576" height="21" alt="m10 := Matrix([[`+`(`*`(x__1, `*`(`^`(l, 2), `*`(`^`(f, 53)))), `*`(l, `*`(`^`(f, 51), `*`(`^`(k, 2), `*`(x__2, `*`(omega)))))), `+`(`*`(`^`(l, 2), `*`(`^`(f, 53), `*`(y__1))), `*`(`^`(l, 3), `*`(`^`(..." align="center" border="0"><br><img src="images/Sixth part_html_67.gif" width="576" height="21" alt="m10 := Matrix([[`+`(`*`(x__1, `*`(`^`(l, 2), `*`(`^`(f, 53)))), `*`(l, `*`(`^`(f, 51), `*`(`^`(k, 2), `*`(x__2, `*`(omega)))))), `+`(`*`(`^`(l, 2), `*`(`^`(f, 53), `*`(y__1))), `*`(`^`(l, 3), `*`(`^`(..." align="center" border="0"><br><img src="images/Sixth part_html_68.gif" width="576" height="21" alt="m10 := Matrix([[`+`(`*`(x__1, `*`(`^`(l, 2), `*`(`^`(f, 53)))), `*`(l, `*`(`^`(f, 51), `*`(`^`(k, 2), `*`(x__2, `*`(omega)))))), `+`(`*`(`^`(l, 2), `*`(`^`(f, 53), `*`(y__1))), `*`(`^`(l, 3), `*`(`^`(..." align="center" border="0"><br><img src="images/Sixth part_html_69.gif" width="576" height="21" alt="m10 := Matrix([[`+`(`*`(x__1, `*`(`^`(l, 2), `*`(`^`(f, 53)))), `*`(l, `*`(`^`(f, 51), `*`(`^`(k, 2), `*`(x__2, `*`(omega)))))), `+`(`*`(`^`(l, 2), `*`(`^`(f, 53), `*`(y__1))), `*`(`^`(l, 3), `*`(`^`(..." align="center" border="0"><br><img src="images/Sixth part_html_70.gif" width="576" height="21" alt="m10 := Matrix([[`+`(`*`(x__1, `*`(`^`(l, 2), `*`(`^`(f, 53)))), `*`(l, `*`(`^`(f, 51), `*`(`^`(k, 2), `*`(x__2, `*`(omega)))))), `+`(`*`(`^`(l, 2), `*`(`^`(f, 53), `*`(y__1))), `*`(`^`(l, 3), `*`(`^`(..." align="center" border="0"><br><img src="images/Sixth part_html_71.gif" width="576" height="21" alt="m10 := Matrix([[`+`(`*`(x__1, `*`(`^`(l, 2), `*`(`^`(f, 53)))), `*`(l, `*`(`^`(f, 51), `*`(`^`(k, 2), `*`(x__2, `*`(omega)))))), `+`(`*`(`^`(l, 2), `*`(`^`(f, 53), `*`(y__1))), `*`(`^`(l, 3), `*`(`^`(..." align="center" border="0"></td>
</tr>
</table> </p>
<p align="left"><table>
<tr>
<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"><img src="images/Sixth part_html_72.gif" width="150" height="14" alt="mss := Determinant(m10); -1" align="center" border="0"></td>
</tr>
</table> </p>
<p align="left"><table>
<tr>
<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"></td>
</tr>
</table> </p>
<p align="left"><table>
<tr>
<td valign="top" align="center"><font color="#78000e" size="3" face="Courier New"><strong>> </strong></font></td>
<td valign="top"></td>
</tr>
</table> </p>
<p align="left"><font color="#000000" size="3" face="Times New Roman"></font> </p>
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