acer

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Ontario, Canada

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These are replies submitted by acer

@Markiyan Hirnyk See here for the source.

@Markiyan Hirnyk See here for the source.

@serena88 The seq command takes an optional third argument, for the increment, which can be negative.

> j[[seq(i,i=13..4,-1)],1];

                    j[[13, 12, 11, 10, 9, 8, 7, 6, 5, 4], 1]

@serena88 The seq command takes an optional third argument, for the increment, which can be negative.

> j[[seq(i,i=13..4,-1)],1];

                    j[[13, 12, 11, 10, 9, 8, 7, 6, 5, 4], 1]

@Brettski If you lprint that P[0] atomic-identifier name then you'll likely see something like `#msub(mi("P"),mn("0"))`.

And that is a name (because it is wrapped in single-left name quotes). But the Maple Standard GUI knows to display it as a subscripted name.

@Brettski If you lprint that P[0] atomic-identifier name then you'll likely see something like `#msub(mi("P"),mn("0"))`.

And that is a name (because it is wrapped in single-left name quotes). But the Maple Standard GUI knows to display it as a subscripted name.

@Christopher2222 The eventual slowdown in the Standard GUI that you described when animating the globe also occurs in later Maple versions. I believe that it is due (effectively) to some kind of memory leak in the GUI that occurs when displaying many 3D plots/frames, which you might observe using the MS-Windows Task Manager or Unix/Linus `top` utility.

I encourage you (too) to submit an SCR on it. The more such problems are reported the better the chance it might get fixed.

Consider x^3-4*x+2=0 for which the solve command returns three explicit expressions containing I. Hence, some simplification may be necessary before testing for the presence of I.

restart:

p := x^3-4*x+2:
#plot(p, x=-3..3);

S := [solve( p=0, x )]:

remove( has, S, I );

                               []

remove(has, map(simplify,S,constant), I):
evalf(%);

           [1.675130870, -2.214319743, 0.5391888726]

And simplify(...,constant) may not suffice, in general. And `is` will depend upon Digits (akin to fnormal after evalf), so can also be caught out. Applying evalc@Im can turn this into zero-testing.

acer

Consider x^3-4*x+2=0 for which the solve command returns three explicit expressions containing I. Hence, some simplification may be necessary before testing for the presence of I.

restart:

p := x^3-4*x+2:
#plot(p, x=-3..3);

S := [solve( p=0, x )]:

remove( has, S, I );

                               []

remove(has, map(simplify,S,constant), I):
evalf(%);

           [1.675130870, -2.214319743, 0.5391888726]

And simplify(...,constant) may not suffice, in general. And `is` will depend upon Digits (akin to fnormal after evalf), so can also be caught out. Applying evalc@Im can turn this into zero-testing.

acer

@Markiyan Hirnyk I was just querying what you wanted. It's not hard to get it as a sum (of a product of two numbers of combinations, ie. combinat[numbcomb] calls).

N:=(s,k)->add(combinat[numbcomb](s, i)*combinat[numbcomb](i, k-i),i=0..s);

But you want a closed form for that as a symbolic sum? Can it be in terms of calls to GAMMA and hypergeom (...I'm guessing not)?

Is it just this, for n=0,1,2,3,4,...?

 PolynomialTools:-CoefficientList(expand( (1+x+x^2)^n ),x)

So, do you want something in terms of factorials?

acer

@J4James Since eq2 and bc are both sets, pass the DE system to the dsolve command as the argument,

eq2 union bc

rather than as,

{eq2 union bc}

@J4James Since eq2 and bc are both sets, pass the DE system to the dsolve command as the argument,

eq2 union bc

rather than as,

{eq2 union bc}

@Mac Dude Try setting up your links to the saved help-page using Command,package in the hyperlink. So, its hover-over balloon would say, "Help:Command,package".

(It seemed to work ok for me in Maple 15.01, using a link with either Package,command or Package/command. I saved the help page as topic Package/command. Perhaps if you posted the precise `makehelp` incantation that you used to save the page?)

@Mac Dude Try setting up your links to the saved help-page using Command,package in the hyperlink. So, its hover-over balloon would say, "Help:Command,package".

(It seemed to work ok for me in Maple 15.01, using a link with either Package,command or Package/command. I saved the help page as topic Package/command. Perhaps if you posted the precise `makehelp` incantation that you used to save the page?)

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