autodeclare variables

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There is also the init.sage file which you can place in your $HOME directory. You could have that with an autodeclaration, and it would run every time Sage was started.

In the Sage notebook, you can do automatic_variables(True) and get variables automatically declared. See here for an example.

Eviatar Buch Thank you for your answer. I accept your answer.

From what program are you importing your expression? Many algebra systems have a function which lists the variables in an expression. You can use it to generate the necessary variables for you expression before evaluating it.

For example, in Maple:

a := 5*x-3*sin(y)+x*y^4+exp(z^2):
indets(a,name);
                                  {x, y, z}

You can give this output (without the braces) to sage's var and then evaluate the expression.

Also, if your expression is maxima compatible you can use maxima's command, which is listofvars, inside sage. Using sage_eval's cmds parameter you can order it to parse the expression in maxima and create the variables:

sage: a = "5*x-3*sin(y)+x*y^4+exp(z^2)"
sage: sage_eval(a,cmds="var(','.join(map(repr, maxima('listofvars(%s)'))))"%a)
x*y^4 + 5*x + e^(z^2) - 3*sin(y)

This is of course a workaround - autodeclaration would be awesome but is probably not very near (see also here).