On Mon, Jan 24, 2011 at 10:58 PM, Dima Pasechnik wrote:
>
>
> On Jan 12, 2:09 pm, mhampton wrote:
>> It is a Riemann sum with a non-constant width.
> trapezoid rule is what you get if you take the average of the left-
> point and the right-point ones.
> (for an obvious geometric reason)
>
> I do
On Jan 12, 2:09 pm, mhampton wrote:
> It is a Riemann sum with a non-constant width.
trapezoid rule is what you get if you take the average of the left-
point and the right-point ones.
(for an obvious geometric reason)
I don't see why width is relevant here.
> The usual definition
> allows
These are very old methods that David Joyner put in Sage when there
was virtually nothing for calculus - particularly pedagogical examples
- in Sage. I believe they only work with the Piecewise class, and
return Piecewise functions (which can't do much). In
sage.functions.piecewise.py :
- David
Hello,
(and copy to Sage-edu)
Currently, both riemann_sum and riemann_sum_integral_approximation
does not support trapezoid mode. But instead there are separate
function which computes these for trapezoid mode .
I am added this mode to both riemann_sum and
riemann_sum_integral_approximati
It is a Riemann sum with a non-constant width. The usual definition
allows that as long as the widths of each interval have a limit of
zero.
-Marshall
On Jan 11, 9:51 pm, Jason Grout wrote:
> On 1/11/11 6:06 PM, Gagan Sekhon wrote:
>
> > Currently, both riemann_sum and riemann_sum_integral_appr
On 1/11/11 6:06 PM, Gagan Sekhon wrote:
Currently, both riemann_sum and riemann_sum_integral_approximation
does not support trapezoid mode. But instead there are separate
function which computes these for trapezoid mode .
I am added this mode to both riemann_sum and
riemann_sum_integral_approxim
