On 03/30/2010 08:31 AM, Jared Schlieper wrote:
Greetings,I am in the process of converting calculus 3 assignments from Mathematica to Sage and came upon an error I can't figure out. Trying to find the mass of a region bounded by two functions(g1,g2) with a given density. Below is the code, x, y = var('x ,y') density=e^(sqrt(x))+e^(y^2/2) g1=e^(2*x)-1 g2=5-5*(x-1)^2 p=plot(g1,0,1) p+=plot(g2,0,1,color='red') show(p) b=(g2-g1).find_root(.7,1.0,x) a=(g2-g1).find_root(-.1,.2,x) f=integral(density,y,g1,g2) numerical_integral(f, a, b) This results in a TypeError: float() argument must be a string or a number I have tried various changes and still the same error. My thought is the error is due the error function that results from the first integration. Am I missing something?
Nope, it's a bug. The problem is that Sage tries to automatically compile f into a version that is fast to evaluate, but does not handle complex numbers. You have complex numbers in f, so it fails.
Apparently f.nintegral does not try to compile f into a fast version, but uses Maxima to do the numerical integration.
Do you mind sharing your worksheets? I am teaching calc 3 this semester and next semester as well, and I'd be interested in seeing them.
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