726.sagews

#conversion error demo
var('x y t')


#case 1 with alpabethic order of function arguments t, x, y
L=function('L', t, x, y)
d=diff(diff(L,y),t) + diff(L,x)
m=maxima(d)
print '\n0a)  Function L defined as    : ',L
print '\n1a). Sage operator notation   : ',d
print '\n2a). Maxima converted output  :\n',m
print '\n3a). output typesetted        :\n';show(m)

#case 2
L=function('L', x, y,t)
d=diff(diff(L,y),t) + diff(L,x)
m=maxima(d)

print '\n0b)  Function L defined as    : ',L
print '\n1b). Sage operator notation   : ',d
print '\n2b). Maxima converted output  :\n',m
print '\n3b). output typesetted        :\n';show(m)

0a) Function L defined as : L(t, x, y) 1a). Sage operator notation : D[0, 2](L)(t, x, y) + D[1](L)(t, x, y) 2a). Maxima converted output : 2 d d -- (L(t, x, y)) + ----- (L(t, x, y)) dx dt dy 3a). output typesetted :

{{{\it \partial}}\over{{\it \partial}\,x}}\,L\left(t , x , y\right) +{{{\it \partial}^2}\over{{\it \partial}\,t\,{\it \partial}\,y}}\,L \left(t , x , y\right)

0b) Function L defined as : L(x, y, t) 1b). Sage operator notation : D[0](L)(x, y, t) + D[1, 2](L)(x, y, t) 2b). Maxima converted output : 2 d d ----- (L(t, x, y)) + -- (L(t, x, y)) dx dy dt 3b). output typesetted :

{{{\it \partial}^2}\over{{\it \partial}\,x\,{\it \partial}\,y}}\,L \left(t , x , y\right)+{{{\it \partial}}\over{{\it \partial}\,t}}\,L \left(t , x , y\right)

var('x y t')
L=function('L', t, x, y)
m1=maxima(diff(L,t))
L=function('L', x, y, t)
m2=maxima(diff(L,t))
print m1
print m2

d -- (L(t, x, y)) dt d -- (L(t, x, y)) dy

version()

'Sage Version 4.1.1, Release Date: 2009-08-14'