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[求助]
mathematic中使用while循环求方程,出现超过 1024 的递归深度的问题。
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求大神解决啊,代码如下,复制黏贴即可运 g[t_] := \!\( \*SubsuperscriptBox[\(\[Integral]\), \(td\), \(t\)]\(\((0.2 + 0.1 \((v - td)\))\) \[DifferentialD]v\)\) m[nu_] := 1 - E^(-0.01*nu) beta[x_] := E^-x td := 1/24; nu := 69.3147 newnu := nu; oldnu := newnu - 5 k := 120 c := 20 h := 3 DE := 1000 p := 35 PPi := 5 s := 4 \[CapitalLambda]1[t1_, T_, nu_] := ((p - c)*DE*(t1 + \!\( \*SubsuperscriptBox[\(\[Integral]\), \(t1\), \(T\)]\(\((beta[ T - t])\) \[DifferentialD]t\)\)) - k - (c + h*td)*DE*\!\( \*SubsuperscriptBox[\(\[Integral]\), \(td\), \(t1\)]\(\((\((\(-1\) + \*SuperscriptBox[\(E\), \(\(-0.008246527777777776`\)\ \*SuperscriptBox[\(E\), \(\(-0.01`\)\ nu\)]\)])\) + 0.19583333333333333`\ \*SuperscriptBox[\(E\), \(\(-0.008246527777777776`\)\ \*SuperscriptBox[\(E\), \(\(-0.01`\)\ nu\)] - 0.01`\ nu\)]\ t + 0.019175347222222222`\ \*SuperscriptBox[\(E\), \(\(-0.008246527777777776`\)\ \*SuperscriptBox[\(E\), \(\(-0.01`\)\ nu\)] - 0.03`\ nu\)]\ \((1.`\ \*SuperscriptBox[\(E\), \(0.01`\ nu\)] + 2.607514712539611`\ \*SuperscriptBox[\(E\), \(0.019999999999999997`\ nu\)])\)\ \*SuperscriptBox[\(t\), \(2\)] + 0.009791666666666667`\ \*SuperscriptBox[\(E\), \(\(-0.008246527777777776`\)\ \*SuperscriptBox[\(E\), \(\(-0.01`\)\ nu\)] - 0.05`\ nu\)]\ \((0.12783564814814813`\ \*SuperscriptBox[\(E\), \(0.020000000000000004`\ nu\)] + 1.`\ \*SuperscriptBox[\(E\), \(0.030000000000000002`\ nu\)])\)\ \*SuperscriptBox[\(t\), \(3\)])\) \[DifferentialD]t\)\) + h*DE*td^2/2 - h*DE*td*t1 - h*DE*\!\( \*SubsuperscriptBox[\(\[Integral]\), \(td\), \(t1\)]\(\(( \*SuperscriptBox[\(E\), \(\(-0.08`\)\ nu\)]\ \((1.`\ \*SuperscriptBox[\(E\), \(0.08`\ nu\)]\ t1 + 0.09791666666666667`\ \*SuperscriptBox[\(E\), \(0.07`\ nu\)]\ \*SuperscriptBox[\(t1\), \(2\)] + 0.006391782407407406`\ \*SuperscriptBox[\(E\), \(0.06000000000000001`\ nu\)]\ \*SuperscriptBox[\(t1\), \(3\)] + 0.016666666666666666`\ \*SuperscriptBox[\(E\), \(0.07`\ nu\)]\ \*SuperscriptBox[\(t1\), \(3\)] + 0.0003129310136959876`\ \*SuperscriptBox[\(E\), \(0.05`\ nu\)]\ \*SuperscriptBox[\(t1\), \(4\)] + 0.002447916666666667`\ \*SuperscriptBox[\(E\), \(0.06`\ nu\)]\ \*SuperscriptBox[\(t1\), \(4\)])\) + \*SuperscriptBox[\(E\), \(\(-0.08`\)\ nu\)]\ \((\(-1.`\)\ \*SuperscriptBox[\(E\), \(0.08`\ nu\)] - 0.19583333333333333`\ \*SuperscriptBox[\(E\), \(0.07`\ nu\)]\ t1 - 0.019175347222222222`\ \*SuperscriptBox[\(E\), \(0.060000000000000005`\ nu\)]\ \*SuperscriptBox[\(t1\), \(2\)] - 0.0012517240547839502`\ \*SuperscriptBox[\(E\), \(0.05000000000000001`\ nu\)]\ \*SuperscriptBox[\(t1\), \(3\)] - 0.0032638888888888887`\ \*SuperscriptBox[\(E\), \(0.060000000000000005`\ nu\)]\ \*SuperscriptBox[\(t1\), \(3\)] - 0.00006128232351546424`\ \*SuperscriptBox[\(E\), \(0.04`\ nu\)]\ \*SuperscriptBox[\(t1\), \(4\)] - 0.0004793836805555556`\ \*SuperscriptBox[\(E\), \(0.049999999999999996`\ nu\)]\ \*SuperscriptBox[\(t1\), \(4\)])\)\ t + \*SuperscriptBox[\(E\), \(\(-0.08`\)\ nu\)]\ \((0.09791666666666667`\ \*SuperscriptBox[\(E\), \(0.07`\ nu\)] + 0.019175347222222222`\ \*SuperscriptBox[\(E\), \(0.06`\ nu\)]\ t1 - 0.05`\ \*SuperscriptBox[\(E\), \(0.07`\ nu\)]\ t1 + 0.0018775860821759259`\ \*SuperscriptBox[\(E\), \(0.05`\ nu\)]\ \*SuperscriptBox[\(t1\), \(2\)] - 0.004895833333333334`\ \*SuperscriptBox[\(E\), \(0.060000000000000005`\ nu\)]\ \*SuperscriptBox[\(t1\), \(2\)] + 0.00012256464703092846`\ \*SuperscriptBox[\(E\), \(0.04000000000000001`\ nu\)]\ \*SuperscriptBox[\(t1\), \(3\)] + 5.421010862427522`*^-20\ \*SuperscriptBox[\(E\), \(0.05`\ nu\)]\ \*SuperscriptBox[\(t1\), \(3\)] - 0.0008333333333333334`\ \*SuperscriptBox[\(E\), \(0.060000000000000005`\ nu\)]\ \*SuperscriptBox[\(t1\), \(3\)] + 6.000560844222541`*^-6\ \*SuperscriptBox[\(E\), \(0.030000000000000002`\ nu\)]\ \*SuperscriptBox[\(t1\), \(4\)] + 0.00003129310136959877`\ \*SuperscriptBox[\(E\), \(0.039999999999999994`\ nu\)]\ \*SuperscriptBox[\(t1\), \(4\)] - 0.00012239583333333335`\ \*SuperscriptBox[\(E\), \(0.049999999999999996`\ nu\)]\ \*SuperscriptBox[\(t1\), \(4\)])\)\ \*SuperscriptBox[\(t\), \(2\)] + \*SuperscriptBox[\(E\), \(\(-0.08`\)\ nu\)]\ \((0.` - 0.006391782407407405`\ \*SuperscriptBox[\(E\), \(0.06`\ nu\)] + 0.03333333333333334`\ \*SuperscriptBox[\(E\), \(0.07`\ nu\)] - 0.0012517240547839504`\ \*SuperscriptBox[\(E\), \(0.05`\ nu\)]\ t1 + 0.009791666666666667`\ \*SuperscriptBox[\(E\), \(0.06`\ nu\)]\ t1 - 0.00012256464703092848`\ \*SuperscriptBox[\(E\), \(0.04000000000000001`\ nu\)]\ \*SuperscriptBox[\(t1\), \(2\)] + 0.0009587673611111112`\ \*SuperscriptBox[\(E\), \(0.05`\ nu\)]\ \*SuperscriptBox[\(t1\), \(2\)] - 8.000747792296719`*^-6\ \*SuperscriptBox[\(E\), \(0.030000000000000013`\ nu\)]\ \*SuperscriptBox[\(t1\), \(3\)] + 0.00004172413515946501`\ \*SuperscriptBox[\(E\), \(0.04000000000000001`\ nu\)]\ \*SuperscriptBox[\(t1\), \(3\)] + 0.00016319444444444446`\ \*SuperscriptBox[\(E\), \(0.05`\ nu\)]\ \*SuperscriptBox[\(t1\), \(3\)] - 3.9170327733119356`*^-7\ \*SuperscriptBox[\(E\), \(0.020000000000000004`\ nu\)]\ \*SuperscriptBox[\(t1\), \(4\)] + 0.000023969184027777782`\ \*SuperscriptBox[\(E\), \(0.039999999999999994`\ nu\)]\ \*SuperscriptBox[\(t1\), \(4\)])\)\ \*SuperscriptBox[\(t\), \(3\)])\) \[DifferentialD]t\)\) - s*DE*\!\( \*SubsuperscriptBox[\(\[Integral]\), \(t1\), \(T\)]\(\((\((T - t)\) beta[T - t])\) \[DifferentialD]t\)\) - PPi*DE*\!\( \*SubsuperscriptBox[\(\[Integral]\), \(t1\), \(T\)]\(\((1 - beta[T - t])\) \[DifferentialD]t\)\) - T*nu)/T While[Abs[newnu - oldnu] > 10^-4, xx := FindRoot[{D[\[CapitalLambda]1[t1, T, nu], t1] == 0, D[\[CapitalLambda]1[t1, T, nu], T] == 0}, {t1, 0.2}, {T, 0.2}]; t1 := xx[[1, 2]]; T := xx[[2, 2]]; yy := FindRoot[D[\[CapitalLambda]1[t1, T, nu], nu] == 0, {nu,80}]; nu := yy[[1, 2]]; oldnu := newnu; newnu := nu] |
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