Hello! Is it possible to have the equivalent sage expression of the following string, by using sage_eval() or another function without getting this error in while the transcription :
/lib/python2.6/site-packages/sage/misc/sage_eval.py", line 199, in sage_eval return eval(source, sage.all.__dict__, locals) File "<string>", line 1, in <module> TypeError: 'sage.symbolic.expression.Expression' object is unsubscriptable A part of the string is: [(dx**4*dy**4*E**(2*phi[0, 0])*epsr**2* ((16*ni*(Cxy[0, 0] + (phi[0, -1] - 2*phi[0, 0] + phi[0, 1])/dy**2 + (phi[-1, 0] - 2*phi[0, 0] + phi[1, 0])/dx**2 + (ni*(-(E**phi[0, 0]*u[0, 0]) + v[0, 0]/E**phi[0, 0]))/epsr))/ (E**phi[0, 0]*epsr) + (8*(dx**2 + dy**2)* (dx**2*((-4 + phi[0, -1] - phi[0, 1])*v[0, -1] + 8*v[0, 0] + (-4 - phi[0, -1] + phi [0, 1])*v[0, 1]) + dy**2*((-4 + phi[-1, 0] - phi[1, 0])*v[-1, 0] + 8*v[0, 0] + (-4 - phi[-1, 0] + phi[1, 0])*v[1, 0])))/(dx**4*dy**4) + ((-4 + phi[0, 0] - phi[0, 2])* (dx**2*((-4 + phi[0, 0] - phi[0, 2])*v [0, 0] + 8*v[0, 1] + (-4 - phi[0, 0] + phi[0, 2])*v[0, 2]) + dy**2* ((-4 + phi[-1, 1] - phi[1, 1])*v[-1, 1] + 8*v[0, 1] + (-4 - phi[-1, 1] + phi[1, 1])*v[1, 1])))/(dx**2*dy**4) + ((-4 + phi[0, 0] - phi[2, 0])* (dx**2*((-4 + phi[1, -1] - phi[1, 1])*v[1, -1] + 8*v[1, 0] + (-4 - phi[1, -1] + phi[1, 1])*v[1, 1]) + dy**2*((-4 + phi[0, 0] - phi[2, 0])*v[0, 0] + 8*v[1, 0] + (-4 - phi[0, 0] + phi[2, 0])*v[2, 0])))/ (dx**4*dy**2)))/ (2*dx**4*(-8*dy**2*E**phi[0, 0]*epsr*ni*(2 + dy**2*Cxy[0, 0] + phi[0, -1] - 2*phi[0, 0] + phi[0, 1]) - 16*dy**4*ni**2*v[0, 0] + E**(2*phi[0, 0])*epsr**2*((-4 + phi[0, 0] - phi[0, 2])*v[0, 0] + 4*v[0, 1] + (-phi[0, 0] + phi[0, 2])*v[0, 2])) + dx**2*dy**2*E**phi[0, 0]*epsr*(-16*dy**2*ni*(2 + phi[-1, 0] - 2*phi [0, 0] + phi[1, 0]) + E**phi[0, 0]*epsr*((-4 + phi[-1, 1] - phi[1, 1])* v[-1, 1] + 8*v[0, 1] + (-4 + phi[1, -1] - phi[1, 1])*v[1, -1] + 8*v[1, 0] - (8 + phi[-1, 1] + phi[1, -1] - 2*phi[1, 1])*v[1, 1])) + 2*dy**4*E**(2*phi[0, 0])*epsr**2*((-4 + phi[0, 0] - phi[2, 0])*v[0, 0] + 4*v[1, 0] + (-phi[0, 0] + phi[2, 0])*v[2, 0])) - (dx**4*dy**4*E** (2*phi[0, 0])*epsr**2*(64*(dx**(-2) + dy**(-2))**2 + (16*ni**2)/(E** (2*phi[0, 0])*epsr**2) + (4 - phi[0, 0] + phi[0, 2])**2/ dy**4 + (4 - phi[0, 0] + phi[2, 0])**2/dx**4)* (-(((ni**2*(16/dx**4 + 16/dy**4 + (u [0, 0] - u[0, 2])**2/dy**4 + (u[0, 0] - u[2, 0])**2/dx**4 + (16*ni*(- (E**phi[0, 0]*u[0, 0]) + v[0, 0]/E**phi[0, 0])*(Cxy[0, 0] + (phi[0, -1] - 2*phi[0, 0] + phi[0, 1])/dy**2 + (phi[-1, 0] - 2*phi[0, 0] + phi[1, 0])/dx** 2 + (ni*(-(E**phi[0, 0]*u[0, 0]) + v[0, 0]/E**phi[0, 0]))/ epsr))/epsr + 16*(2/dx**2 + 2/dy**2 + (E**phi[0, 0]*ni*u[0, 0] + (ni*v[0, 0])/E**phi[0, 0])/epsr)**2 + (v[0, 0] - v[0, 2])**2/ dy**4 + (v[0, 0] - v[2, 0])**2/dx**4))/(4*epsr**2) + ((2*dx**4* (8*dy**2*E**phi[0, 0]*epsr*ni*(2 - phi[0, -1] + 2*phi[0, 0] - phi[0, 1]) + 8*dy**4*E**phi[0, 0]*ni*(-(epsr*Cxy[0, 0]) + 2* E**phi[0, 0] *ni*u[0, 0]) + epsr**2*((4 + phi[0, 0] - phi[0, 2])* u[0, 0] - 4*u[0, 1] + (-phi[0, 0] + phi[0, 2])*u[0, 2])) + dx**2*dy**2*epsr* (16*dy**2*E**phi[0, 0]*ni*(2 - phi[-1, 0] + 2* phi[0, 0] - phi[1, 0]) + epsr*((4 + phi[-1, 1] - phi[1, 1])* u[-1, 1] - 8*u[0, 1] + (4 + phi [1, -1] - phi[1, 1])* u[1, -1] - 8*u[1, 0] - (phi[-1, 1] + phi[1, -1] - 2*(4 + phi[1, 1]))*u[1, 1])) + 2*dy**4*epsr**2* ((4 + phi[0, 0] - phi[2, 0])*u[0, 0] - 4*u[1, 0] + (-phi[0, 0] + phi[2, 0])*u[2, 0]))* (2*dx**4*(-8*dy**2*E**phi[0, 0]*epsr*ni*(2 + dy**2*Cxy[0, 0] + phi [0, -1] - 2*phi[0, 0] + phi[0, 1]) - 16*dy**4*ni**2*v[0, 0] + E** (2*phi[0, 0])*epsr**2*((-4 + phi[0, 0] - phi[0, 2])*v[0, 0] + 4* v[0, 1] + (-phi[0, 0] + phi[0, 2])*v[0, 2])) + dx**2*dy**2*E**phi[0, 0] *epsr*(-16*dy**2*ni*(2 + phi[-1, 0] - 2* phi[0, 0] + phi[1, 0]) + E**phi[0, 0]*epsr* ((-4 + phi[-1, 1] - phi[1, 1])*v[-1, 1] + 8*v[0, 1] + (-4 + phi[1, -1] - phi[1, 1])*v[1, -1] + 8*v[1, 0] - (8 + phi[-1, 1] + phi[1, -1] - 2*phi[1, 1])*v[1, 1])) + 2*dy**4*E**(2*phi[0, 0]) *epsr**2*((-4 + phi[0, 0] - phi[2, 0])* v[0, 0] + 4*v[1, 0] + (-phi[0, 0] + phi[2, 0])*v[2, 0])))/ (64*dx**8*dy**8*E**(2*phi[0, 0])*epsr**4)) * ((((-8*(dx**2 + dy**2)*(dx**2*((4 + phi[0, -1] - phi[0, 1])*u[0, -1] - 8*u[0, 0] + (4 - phi[0, -1] + phi[0, 1])*u[0, 1]) + dy**2*((4 + phi[-1, 0] - phi[1, 0])*u[-1, 0] - 8*u[0, 0] + (4 - phi[-1, 0] + phi [1, 0])*u[1, 0])))/(dx**4*dy**4) + ((4 + phi[0, 0] - phi[0, 2])*(dx**2* ((4 + phi[0, 0] - phi[0, 2])* u[0, 0] - 8*u[0, 1] + (4 - phi[0, 0] + phi[0, 2])*u[0, 2]) + dy**2*((4 + phi[-1, 1] - phi[1, 1])*u[-1, 1] - 8*u[0, 1] + (4 - phi[-1, 1] + phi[1, 1])*u[1, 1])))/(dx**2*dy**4) + ((4 + phi[0, 0] - phi[2, 0])*(dx**2*((4 + phi[1, -1] - phi[1, 1])* u[1, -1] - 8*u[1, 0] + (4 - phi[1, -1] + phi[1, 1])* u[1, 1]) + dy**2* ((4 + phi[0, 0] - phi[2, 0])*u[0, 0] - 8*u[1, 0] + (4 - phi[0, 0] + phi[2, 0])*u[2, 0])))/ (dx**4*dy**2) - (16*E**phi[0, 0]*ni*(Cxy[0, 0] + (phi[0, -1] - 2*phi[0, 0] + phi[0, 1])/dy**2 + (phi[-1, 0] - 2*phi [0, 0] + phi[1, 0])/dx**2 + (ni*(-(E**phi[0, 0]*u[0, 0]) + v[0, 0]/ E**phi[0, 0]))/epsr))/epsr)* (2*dx**4*(-8*dy**2*E**phi[0, 0]*epsr*ni* (2 + dy**2*Cxy[0, 0] + phi[0, -1] - 2*phi[0, 0] + phi[0, 1]) - 16*dy**4*ni**2*v[0, 0] + E**(2*phi[0, 0])*epsr**2*((-4 + phi[0, 0] - phi[0, 2])*v[0, 0] + 4* v[0, 1] + (-phi[0, 0] + phi[0, 2])*v[0, 2])) + dx**2*dy**2*E**phi[0, 0]*epsr*(-16*dy**2*ni*(2 + phi[-1, 0] - 2* phi[0, 0] + phi[1, 0]) + E**phi[0, 0]*epsr* ((-4 + phi[-1, 1] - phi[1, 1])*v[-1, 1] + 8*v[0, 1] + (-4 + phi[1, -1] - phi[1, 1])*v[1, -1] + 8*v[1, 0] - (8 + phi[-1, 1] + phi[1, -1] - 2*phi[1, 1])*v[1, 1])) + 2*dy**4*E**(2*phi[0, 0])*epsr**2*((-4 + phi[0, 0] - phi[2, 0])* v[0, 0] + 4*v[1, 0] + (-phi[0, 0] + phi[2, 0])*v[2, 0])))/ (64*dx**4*dy**4*E**(2*phi[0, 0])*epsr**2) - ((2*dx**4*(8*dy**2*E**phi [0, 0]*epsr*ni*(2 - phi[0, -1] + 2*phi[0, 0] - phi[0, 1]) + 8*dy**4*E**phi[0, 0]*ni*(-(epsr*Cxy[0, 0]) + 2* E**phi[0, 0]*ni*u[0, 0]) + epsr**2*((4 + phi[0, 0] - phi[0, 2])* u[0, 0] - 4*u[0, 1] + (- phi[0, 0] + phi[0, 2])*u[0, 2])) + dx**2*dy**2*epsr*(16*dy**2*E**phi [0, 0]*ni*(2 - phi[-1, 0] + 2* phi[0, 0] - phi[1, 0]) + epsr*((4 + phi [-1, 1] - phi[1, 1])* u[-1, 1] - 8*u[0, 1] + (4 + phi[1, -1] - phi[1, 1])* u[1, -1] - 8*u[1, 0] - (phi[-1, 1] + phi[1, -1] - 2*(4 + phi[1, 1]))*u[1, 1])) + 2*dy**4*epsr**2* ((4 + phi[0, 0] - phi[2, 0])*u[0, 0] - 4*u[1, 0] + (-phi[0, 0] + phi[2, 0])*u[2, 0]))* ((16*ni*(Cxy[0, 0] + (phi[0, -1] - 2*phi[0, 0] + phi[0, 1])/dy**2 + (phi[-1, 0] - 2*phi [0, 0] + phi[1, 0])/dx**2 + (ni*(-(E**phi[0, 0]*u[0, 0]) + v[0, 0]/ E**phi[0, 0]))/epsr))/ (E**phi[0, 0]*epsr) + (8*(dx**2 + dy**2)* (dx**2*((-4 + phi[0, -1] - phi[0, 1])*v[0, -1] + 8*v[0, 0] + (-4 - phi[0, -1] + phi[0, 1])*v[0, 1]) + dy**2*((-4 + phi[-1, 0] - phi[1, 0])*v[-1, 0] + 8*v[0, 0] + (-4 - phi[-1, 0] + phi[1, 0])*v[1, 0])))/ (dx**4*dy**4) + ((-4 + phi[0, 0] - phi[0, 2])*(dx**2*((-4 + phi[0, 0] - phi[0, 2])* v[0, 0] + 8*v[0, 1] + (-4 - phi[0, 0] + phi[0, 2])* v [0, 2]) + dy**2*((-4 + phi[-1, 1] - phi[1, 1])*v[-1, 1] + 8*v[0, 1] + (-4 - phi[-1, 1] + phi[1, 1])*v[1, 1])))/ (dx**2*dy**4) + ((-4 + phi [0, 0] - phi[2, 0])* (dx**2*((-4 + phi[1, -1] - phi[1, 1])*v[1, -1] + 8*v[1, 0] + (-4 - phi[1, -1] + phi[1, 1])*v[1, 1]) + dy**2*((-4 + phi[0, 0] - phi[2, 0])*v[0, 0] + 8*v[1, 0] + (-4 - phi[0, 0] + phi [2, 0])*v[2, 0])))/(dx**4*dy**2)))/ (64*dx**4*dy**4*epsr**2))) + ((ni**2*(2*dx**4*(8*dy**2*E**phi[0, 0]*epsr*ni*(2 - phi[0, -1] + 2*phi [0, 0] - phi[0, 1]) + 8*dy**4*E**phi[0, 0]*ni* (-(epsr*Cxy[0, 0]) + 2*E**phi[0, 0]*ni*u[0, 0]) + epsr**2*((4 + phi[0, 0] - phi[0, 2])*u [0, 0] - 4*u[0, 1] + (-phi[0, 0] + phi[0, 2])*u[0, 2])) + dx**2*dy**2*epsr* (16*dy**2*E**phi[0, 0]*ni*(2 - phi[-1, 0] + 2*phi [0, 0] - phi[1, 0]) + epsr*((4 + phi[-1, 1] - phi[1, 1])*u[-1, 1] - 8*u[0, 1] + (4 + phi[1, -1] - phi[1, 1])*u[1, -1] - 8*u[1, 0] - (phi [-1, 1] + phi[1, -1] - 2*(4 + phi[1, 1]))*u[1, 1])) + 2*dy**4*epsr**2* ((4 + phi[0, 0] - phi[2, 0])*u[0, 0] - 4*u[1, 0] + (-phi[0, 0] + phi [2, 0])*u[2, 0])))/(4*dx**4*dy**4*epsr**4) + ((64*(dx**(-2) + dy** (-2))**2 + (16*E**(2*phi[0, 0])*ni**2)/epsr**2 + (4 + phi[0, 0] - phi [0, 2])**2/dy**4 + (4 + phi[0, 0] - phi[2, 0])**2/ dx**4)*(2*dx**4* (-8*dy**2*E**phi[0, 0]*epsr*ni*(2 + dy**2*Cxy[0, 0] + phi[0, -1] - 2*phi[0, 0] + phi[0, 1]) - 16*dy**4*ni**2*v[0, 0] + E**(2*phi[0, 0]) *epsr**2*((-4 + phi[0, 0] - phi[0, 2])*v[0, 0] + 4*v[0, 1] + (-phi[0, 0] + phi[0, 2])*v[0, 2])) + dx**2*dy**2*E**phi[0, 0]*epsr* (-16*dy**2*ni*(2 + phi[-1, 0] - 2*phi[0, 0] + phi[1, 0]) + E**phi[0, 0]*epsr* ((-4 + phi[-1, 1] - phi[1, 1])*v[-1, 1] + 8*v[0, 1] + (-4 + phi[1, -1] - phi[1, 1])*v[1, -1] + 8*v[1, 0] - (8 + phi[-1, 1] + phi [1, -1] - 2*phi[1, 1])*v[1, 1])) + 2*dy**4*E**(2*phi[0, 0])*epsr**2* ((-4 + phi[0, 0] - phi[2, 0])* v[0, 0] + 4*v[1, 0] + (-phi[0, 0] + phi [2, 0])*v[2, 0])))/ (64*dx**4*dy**4*E**(2*phi[0, 0])*epsr**2))* (- ((16/dx**4 + 16/dy**4 + (u[0, 0] - u[0, 2])**2/dy**4 + (u[0, 0] - u [2, 0])**2/dx**4 + (16*ni*(-(E**phi[0, 0]*u[0, 0]) + v[0, 0]/E**phi [0, 0])*(Cxy[0, 0] + (phi[0, -1] - 2*phi[0, 0] + phi[0, 1])/dy**2 + (phi[-1, 0] - 2*phi[0, 0] + phi[1, 0])/dx** 2 + (ni*(-(E**phi[0, 0]*u [0, 0]) + v[0, 0]/E**phi[0, 0]))/ epsr))/epsr + 16*(2/dx**2 + 2/dy**2 + (E**phi[0, 0]*ni*u[0, 0] + (ni*v[0, 0])/E**phi[0, 0])/epsr)**2 + (v [0, 0] - v[0, 2])**2/ dy**4 + (v[0, 0] - v[2, 0])**2/dx**4)* ((16*ni* (Cxy[0, 0] + (phi[0, -1] - 2*phi[0, 0] + phi[0, 1])/dy**2 + (phi[-1, 0] - 2*phi[0, 0] + phi[1, 0])/dx**2 + (ni*(-(E**phi[0, 0]*u[0, 0]) + v [0, 0]/E**phi[0, 0]))/epsr))/ (E**phi[0, 0]*epsr) + (8*(dx**2 + dy**2) * (dx**2*((-4 + phi[0, -1] - phi[0, 1])*v[0, -1] + 8*v[0, 0] + (-4 - phi[0, -1] + phi[0, 1])*v[0, 1]) + dy**2*((-4 + phi[-1, 0] - phi[1, 0])*v[-1, 0] + 8*v[0, 0] + (-4 - phi[-1, 0] + phi[1, 0])*v[1, 0])))/ (dx**4*dy**4) + ((-4 + phi[0, 0] - phi[0, 2])*(dx**2*((-4 + phi[0, 0] - phi[0, 2])* v[0, 0] + 8*v[0, 1] + (-4 - phi[0, 0] + phi[0, 2])* v [0, 2]) + dy**2*((-4 + phi[-1, 1] - phi[1, 1])*v[-1, 1] + 8*v[0, 1] + (-4 - phi[-1, 1] + phi[1, 1])*v[1, 1])))/ (dx**2*dy**4) + ((-4 + phi [0, 0] - phi[2, 0])* (dx**2*((-4 + phi[1, -1] - phi[1, 1])*v[1, -1] + 8*v[1, 0] + (-4 - phi[1, -1] + phi[1, 1])*v[1, 1]) + dy**2*((-4 + phi[0, 0] - phi[2, 0])*v[0, 0] + 8*v[1, 0] + (-4 - phi[0, 0] + phi [2, 0])*v[2, 0])))/(dx**4*dy**2)))/64 + ((2*dx**4*(-8*dy**2*E**phi[0, 0]*epsr*ni*(2 + dy**2*Cxy[0, 0] + phi[0, -1] - 2*phi[0, 0] + phi[0, 1]) - 16*dy**4*ni**2*v[0, 0] + E**(2*phi[0, 0])*epsr**2*((-4 + phi[0, 0] - phi[0, 2])*v[0, 0] + 4*v[0, 1] + (-phi[0, 0] + phi[0, 2])*v[0, 2])) + dx**2*dy**2*E**phi[0, 0]*epsr*(-16*dy**2*ni*(2 + phi[-1, 0] - 2*phi[0, 0] + phi[1, 0]) + E**phi[0, 0]*epsr* ((-4 + phi[-1, 1] - phi [1, 1])*v[-1, 1] + 8*v[0, 1] + (-4 + phi[1, -1] - phi[1, 1])*v[1, -1] + 8*v[1, 0] - (8 + phi[-1, 1] + phi[1, -1] - 2*phi[1, 1])*v[1, 1])) + 2*dy**4*E**(2*phi[0, 0])*epsr**2*((-4 + phi[0, 0] - phi[2, 0])* v [0, 0] + 4*v[1, 0] + (-phi[0, 0] + phi[2, 0])*v[2, 0]))* (((u[0, 0] - u [0, 2])*(dx**2*((4 + phi[0, 0] - phi[0, 2])*u[0, 0] - 8* u[0, 1] + (4 - phi[0, 0] + phi[0, 2])*u[0, 2]) + dy**2*((4 + phi[-1, 1] - phi[1, 1])*u[-1, 1] - 8*u[0, 1] + (4 - phi[-1, 1] + phi[1, 1])*u[1, 1])))/ (dx**2*dy**4) + ((u[0, 0] - u[2, 0])*(dx**2*((4 + phi[1, -1] - phi[1, 1])*u[1, -1] - 8*u[1, 0] + (4 - phi[1, -1] + phi[1, 1])*u[1, 1]) + dy**2*((4 + phi[0, 0] - phi[2, 0])*u[0, 0] - 8*u[1, 0] + (4 - phi[0, 0] + phi[2, 0])*u[2, 0])))/(dx**4*dy**2) + 16*(Cxy[0, 0] + (phi[0, -1] - 2*phi[0, 0] + phi[0, 1])/dy**2 + (phi[-1, 0] - 2*phi[0, 0] + phi [1, 0])/dx**2 + (ni*(-(E**phi[0, 0]*u[0, 0]) + v[0, 0]/E**phi[0, 0]))/ epsr)* (-2/dx**2 - 2/dy**2 - (E**phi[0, 0]*ni*u[0, 0] + (ni*v[0, 0])/ E** phi[0, 0])/epsr) + (16*(Cxy[0, 1])] Cheers!! Viny --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
