Now if you build it :)

On 29/09/2020 14:27, Fernando Gouvea wrote:

Good news! When is 9.2 expected to be ready?

Fernando

On 9/29/2020 3:54 AM, Eric Gourgoulhon wrote:
I confirm the issue with the Taylor series with Sage 9.1. Fortunately, the bug seems to have been fixed for Sage 9.2. As Emmanuel, I get the correct Taylor series with Sage 9.2.beta13.

Le mardi 29 septembre 2020 à 09:36:09 UTC+2, Emmanuel Charpentier a écrit :

    I can’t reproduce your problem :

    |sage: sage.version.version '9.2.beta13' sage: var('t') t sage:
    assume(x>0) sage: f(x)=integrate(sin(t)/t,t,0,x) sage: f x |-->
    sin_integral(x) sage: taylor(f(x),x,0,10) 1/3265920*x^9 -
    1/35280*x^7 + 1/600*x^5 - 1/18*x^3 + x |

    My platform is Debian testing running on core i7 + 16 GB RAM ;
    sage is built to use as much system packages as possible. hat are
    your platforms ?

    HTH,

    ​
    Le lundi 28 septembre 2020 à 22:03:56 UTC+2, fqgo...@colby.edu a
    écrit :

        I am trying to see how to do a standard calculus exercise in
        Sage. I want a power series for the integral of sin(x)/x. I
        tried:

        sage: var('t')
        t
        sage: assume(x>0)
        sage: f(x)=integrate(sin(t)/t,t,0,x)
        sage: f
        x |--> sin_integral(x)
        sage: taylor(f(x),x,0,10)
        73/466560*x^9 - 127/35280*x^7 + 31/600*x^5 - 7/18*x^3 + x

        The first weirdness is that Sage can't compute the integral
        unless I add the "assume(x>0)"; I'm not sure why.

        The second weirdness is that the Taylor series is wrong!
        Taylor(Si(x),x,0,10) gives the same answer.

        Fernando


-- ==================================================================
        Fernando Q. Gouvea
        Carter Professor of Mathematics
        Colby College
        Mayflower Hill 5836
        Waterville, ME 04901    
        fqgo...@colby.edu       http://www.colby.edu/~fqgouvea

        The object of opening the mind, as of opening the mouth, is to shut it
        again on something solid.
           -- G. K. Chesterton, Autobiography.

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=============================================================
Fernando Q. Gouveahttp://www.colby.edu/~fqgouvea
Carter Professor of Mathematics
Dept. of Mathematics and Statistics
Colby College
5836 Mayflower Hill
Waterville, ME 04901

"Verily and forsooth," replied Goodgulf darkly. "In the past year
strange and fearful wonders I have seen. Fields sown with barley reap
crabgrass and fungus, and even small gardens reject their artichoke
hearts. There has been a hot day in December and a blue
moon. Calendars are made with a month of Sundays and a blue-ribbon
Holstein bore alive two insurance salesmen. The earth splits and the
entrails of a goat were found tied in square knots. The face of the
sun blackens and the skies have rained down soggy potato chips."
   -- Harvard Lampoon, "Bored of the Rings"

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