hello I found this post from sage documents for division of two polynomials
def division(dividend, divisor) :
print 'quotient: ', (dividend._maxima_().divide(divisor).sage())[0]
print 'remainder: ', (dividend._maxima_().divide(divisor).sage())[1]but could you please explain a little bit about this post? such as what is divided.maxima_() ?
The dividend._maxima_() returns the coercion of dividend to an object of the maxima interface.
It seems it is only used to access the divide method, as symbolic expressions don't have this method.
Update:
As @kcrisman suggested, maxima_methods() can be used too. This provides a better approach, as it avoids using the underscored method _maxima_().
sage: f(x)=x^3+5*x^2-3*x+1
sage: g(x)=x+1
sage: f.maxima_methods().divide(g)
[x^2 + 4*x - 7, 8]Perhaps it would be better to define the function as:
def division(dividend, divisor) :
q,r = dividend.maxima_methods().divide(divisor)
print 'quotient: ', q
print 'remainder: ', rThanks to @kcrisman for suggesting this!
so it isn't relevant to maxima computation system?
It is relevant in the sense that it uses the `divide` method. This method belongs to the coerced object, so my guess is that it uses maxima for that.
Presumably one could use `maxima_methods()` for this, then?
It seems so, I'll update the answer.
Hi! Good night! Can you explain me what maxima_methods does in this program?
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Last updated: Apr 02 '13
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Perhaps [this](http://199.219.158.222/home/pub/0/) is the post you mention.