On Aug 17, 2009, at 3:45 AM, Viny wrote: > > 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 :
There was talk a while back about x[1] giving a sub-scripted x, but I don't think anything concrete came of it (IIRC there were bigger symbolic changes going on at the time). What is phi, v, etc. in your context? > > /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 -~----------~----~----~----~------~----~------~--~---
