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{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 81 "#Solvability\nrestar
t:\nthematrix:=evalm([[-w+B-1-D1*k^2,A^2],[-B,-w-A^2-D2*k^2]]);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%*thematrixGK%'matrixG6#7$7$,*%\"wG!
\"\"%\"BG\"\"\"F.F,*&%#D1GF.)%\"kG\"\"#F.F,*$)%\"AGF3F.7$,$F-F,,(F+F,F
4F,*&%#D2GF.F1F.F,Q(pprint06\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 58 "determ:=linalg[det](thematrix);\ndeterm:=collect(determ,w);" }
}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'determG,8*$)%\"wG\"\"#\"\"\"F**&F(
F*)%\"AGF)F*F**(F(F*%#D2GF*)%\"kGF)F*F**&%\"BGF*F(F*!\"\"*(F3F*F/F*F0F
*F4F(F**$F,F*F**&F/F*F0F*F**(%#D1GF*F0F*F(F*F**(F9F*F0F*F,F*F**(F9F*)F
1\"\"%F*F/F*F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'determG,0*$)%\"wG
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aG,,*&%#D1G\"\"\")%\"kG\"\"#F(F(*$)%\"AGF+F(F(%\"BG!\"\"F(F(*&%#D2GF(F
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F()%\"kG\"\"#F(!\"\"*(%#D1GF(F*F()%\"AGF,F(F(*$F0F(F(*&F)F(F*F(F(*(F/F
()F+\"\"%F(F)F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#c1G,(%\"BG\"\"
\"F'!\"\"*&%#D1GF')%\"kG\"\"#F'F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>
%#c2G,&*$)%\"AG\"\"#\"\"\"F**&%#D2GF*)%\"kGF)F*F*" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%$cc1G,,*&%#D1G\"\"\")%\"kG\"\"#F(F(*$)%\"AGF+F(F(%\"B
G!\"\"F(F(*&%#D2GF(F)F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$cc0G,,
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{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#wsG6$,.*(\"\"#!\"\"%#D1G\"\"\"%\"kG
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" {MPLTEXT 1 0 639 "A:=2.0; L:=1; D1:=1.6e-3; D2:=6.0e-3; k:=n*evalf(P
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max,color=pink):\npd:=plot3d(Delta,n=1..12,B=Bmin..Bmax,color=cyan):\n
plots[display](p0,pg,pd);\ncg:=plots[implicitplot](Gamma=0,n=1..12,B=B
min..Bmax,color=red,thickness=2):\ncd:=plots[implicitplot](Delta=0,n=1
..12,B=Bmin..Bmax,color=blue,thickness=2):\ncdbl:=plots[implicitplot](
4*Delta=Gamma^2,n=1..12,B=Bmin..Bmax,color=green,thickness=2):\nverts:
=seq(plottools[line]([n,Bmin],[n,Bmax],color=black),n=1..12);\nplots[d
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{XPPMATH 20 "6#>%\"AG$\"#?!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%
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