On Jan 12, 2:09 pm, mhampton <hampto...@gmail.com> 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 that as long as the widths of each interval have a limit of > zero. > > -Marshall > > On Jan 11, 9:51 pm, Jason Grout <jason-s...@creativetrax.com> wrote: > > > > > On 1/11/11 6:06 PM,GaganSekhon 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_approximation and wanted to take a vote on how > > > many people think trapezoid function should stay, should be deprecated > > > or completely deleted > > > At first, my vote was to deprecate, then delete the function. However, > > I think some people might argue that a trapezoid function was not a > > riemann sum since it is not of the form (width)*(f(point)) like the > > left, right, and midpoint sums. So maybe a new function that absorbs > > all of these called approximate_integral or something is in order? > > > Jason -- To post to this group, send an email to sage-devel@googlegroups.com To unsubscribe from this group, send an email to sage-devel+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URL: http://www.sagemath.org
