Do you have plans to ever support this?

sum(x^i for i in range(1,n)).diff(x)


On May 7, 10:09 am, William Stein <[EMAIL PROTECTED]> wrote:
> On Monday 07 May 2007 10:11 am, Brian Harris wrote:
>
> > Thanks for the scatter plot pointers.  For question 2, imagine
> > something like:
> > f(x) = 5 *SUM(1<i<10, x^i)
> > Probably not standardsumnotation, but I hope it's clear.  Now I want
> > to use SAGE to compute f'(x).
>
> This doesn't help you today, but in SAGE-2.5 (which will be much
> more aimed at Calculus use), which will be released this week,
> you'll be able to do this:
>
> sage: f = 5*sum(x^i for i in range(1,10)); f
> 5*(x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x)
> sage: f.derivative()
> 5*(9*x^8 + 8*x^7 + 7*x^6 + 6*x^5 + 5*x^4 + 4*x^3 + 3*x^2 + 2*x + 1)
>
> Actually, the above would also work in sage-2.4, but would
> have slightly different output.
>
> Maybe you could send some more complicated examples along these
> lines that you're interested in.  They are useful to us, since
> we can add them as examples in the reference manual and/or
> tutorial.
>
> william
>
>
>
> > On May 6, 9:04 pm, Marshall Hampton <[EMAIL PROTECTED]> wrote:
> > > I'm not completely sure what you mean for your question 2 - can you
> > > give an example?
>
> > > For your first question, if you have a tuple of 2D data called 'data',
> > > then in the notebook you can do
>
> > > show(point(data))
>
> > > and you get a scatterplot.  In the reference manual under 2D-plotting
> > > there is more information on graphics primitives, such as adding
> > > colors (http://modular.math.washington.edu/sage/doc/html/ref/module-
> > > sage.plot.plot.html).
>
> > > There is also a list_plot command, so you can do
>
> > > show(list_plot(data))
>
> > > to a list of data points; this has a 'plotjoined' option.
>
> > > Hopefully that helps.  I am not a SAGE guru, so there may be other
> > > nice options as well.
>
> > > -M.Hampton
>
> > > On May 6, 2:49 pm, Brian <[EMAIL PROTECTED]> wrote:
> > > > 1. How do you do scatter plots in SAGE, without using an interface to
> > > > underlying commercial software like MATLAB?
>
> > > > 2. Can maxima or another tool compute [partial] derivatives or
> > > > integrals containing arithmetic sums or products?
>
> --
> William Stein
> Associate Professor of Mathematics
> University of Washington


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