Dear all,
I would like to use Sage as an alternative to Mathematica and I am
quite amazed about the demonstrated functionality of Sage. I just have
a very basic problem with the way I am used to do calculations. Often,
I define a set of equations with different variables in them, then I
solve the equations for example for y, set some of the variables to
prescribed values and plot y as a function of the free variable. In
Sage, a symbolic function does not replace the variables by numbers if
the variables have values assigned to them.
Example:
sage: var ('x a b')
(x, a, b)
sage: y=2*x^a+b
sage: a=3;b=4
sage: y
2*x^a + b
sage: y(a=3,b=4)
2*x^3 + 4
In the above example, y only uses the values of a and b if they are
explicitly included in the call. This would become very tedious for a
system of equations if I want to plot several of them with the same
parameter values.
Is there a way of formulating equations that will automatically
evaluate if their variables have values assigned to them?
Same example in Mathematica:
In[282]:=
y=2*x^a+b
Out[282]=
b + 2 x^a
In[283]:=
a=3;b=4;
y
Out[284]=
4 + 2 x^3
Thanks for your help!
Stan
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