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Das wird mit assume( h>0) etc. gema cht." }}{PARA 230 "" 0 "" {TEXT 244 1 " " }}{EXCHG {PARA 230 "> " 0 "" {MPLTEXT 1 242 38 "assume(h>0): assume(k>0): assume(T>0):" }}}{EXCHG {PARA 230 "" 0 "" {TEXT 244 85 " Stefan-Boltzmann Gesetz wird aus der Planck'schen Strahlung Verteilung abgeleitet " }}{PARA 230 "> " 0 "" {MPLTEXT 1 242 44 "rho := v -> 8*Pi*h*v^3/(exp(h*v/(k*T)) - 1);" }} {PARA 234 "" 1 "" {XPPMATH 20 "6#>I$rhoG6\"f*6#I\"vGF%F%6$I)operatorGF %I&arrowGF%F%,$**I#PiGI*protectedGF/\"\"\"I\"hGF%F09$\"\"$,&-I$expGF%6 #**F1F0F2F0I\"kGF%!\"\"I\"TGF%F:F0F:F0F:\"\")F%F%F%" }{TEXT 245 1 " " }}}{EXCHG {PARA 230 "> " 0 "" {MPLTEXT 1 242 65 "Energy:=Int(rho(nu),n u=0..infinity)= int(rho(nu),nu=0..infinity);" }}{PARA 234 "" 1 "" {XPPMATH 20 "6#>I'EnergyG6\"/-I$IntG6$I*protectedGF*I(_syslibGF%6$,$** I#PiGF*\"\"\"I#h|irGF%F0I#nuGF%\"\"$,&-I$expGF)6#**F1F0F2F0I#k|irGF%! \"\"I#T|irGF%F:F0F:F0F:\"\")/F2;\"\"!I)infinityGF*,$**F/\"\"&F1!\"$F9 \"\"%F;FE#F<\"#:" }{TEXT 245 1 " " }}}{EXCHG {PARA 230 "" 0 "" {TEXT 244 85 "Das ist das Stefan Boltzmann Gesetz der Schwarzraum Strahlung. Die Energie ist ~ T^4." }}{PARA 230 "" 0 "" }{PARA 230 "" 0 "" {TEXT 244 68 "Die Stefan Boltzmann Konstante, bekannt als \"Stefan's constan t\" ist:" }}{PARA 230 "" 0 "" {TEXT 244 1 " " }}{PARA 230 "> " 0 "" {MPLTEXT 1 242 31 "sigma:=coeff(op(2,Energy),T,4);" }}{PARA 234 "" 1 " " {XPPMATH 20 "6#>I&sigmaG6\",$*(I#PiGI*protectedGF)\"\"&I#h|irGF%!\"$ I#k|irGF%\"\"%#\"\")\"#:" }{TEXT 245 1 " " }}}{PARA 230 "" 0 "" {TEXT 244 1 " " }}}{PARA 230 "" 0 "" }{SECT 0 {PARA 233 "" 0 "" {TEXT 243 10 " Reference" }}{PARA 230 "" 0 "" {TEXT 244 147 "[1] D. McLaughlin, \"Symbolic Computation in Chemical Education\", Applications of Compu ter Algebra, Ed. by R. Pavelle, Kluwer, Hingham, MA, (1985)." }}} {PARA 230 "" 0 "" }{EXCHG {PARA 230 "> " 0 "" }{PARA 230 "> " 0 "" }} {PARA 235 "" 0 "" }{PARA 236 "" 0 "" }{PARA 237 "" 0 "" }}{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }