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MaplePrimes Activity

These are replies submitted by Kitonum

@ssara  You do not need any for loops. The substitution and collection must be done immediately in the entire matrix. See the corrected file 

@shimaa sadk  You can easily write these results into a list, and then assign names to them.


{x=1, y=2, z=3};
L:=eval([x,y,z], %);
a, b, c := op(L); 
# The new names (a multiple assignment)




@das1404  I offered you a possible option for Maple 7 here, but it seems you did not read it.

@vv  I already answered this question twice, indicating the explicit formulas here. But for some reason OP does not read his own posts.

@asa12  I do not know what the issue is. In my 32 bit Maple 2015.2 (Windows 10) everything works correctly. Here is the file
See screen-shot:

@asa12  In Maple 2015 everything works correctly. You have initialized the procedure code. And then probably you forgot to execute the following code:


@das1404  Your calculations are correct, except  hs . For your parameters should be  hs=sqrt(2)/2  rather than  1/2 . In my code first there were 2 errors in the expressions for  st  and  hs  (I took the wrong segments). Now everything is fixed.

@asa12  The blue particle is at the origin. The red particle rotates around the blue one. x0, y0 are the initial coordinates of the red particle:

RotationIn2D:=proc(x0, y0)
local A;
uses plots;
A:=t-><cos(t),-sin(t); sin(t),cos(t)>;
animate(plot, [[[convert(A(s).<x0,y0>,list)[],s=0..t], [convert(A(t).<x0,y0>,list)]], style=[line, point], linestyle=3, color=red, symbol=solidcircle, symbolsize=17], t=0..2*Pi, frames=90,background=plot([[0,0]], style=point, symbol=solidcircle, color=blue, symbolsize=17), axes=none, scaling=constrained); 
end proc:

Example of use:






@Markiyan Hirnyk  Thank you for attention! The reason for the error is that there are just no solutions for these parameters. I made the necessary adjustments to the procedure code. Now it returns an empty list in such cases.

For example 
HeronianTriangles(170, 165);

returns the solutions.

@acer Thanks. With Maple it can be made easier

sum(cos(2*Pi*k/n), k=0..n-1);

But even easier to prove this identity manually, if we note that the sum of  n unit vectors with the beginning in the origin and whose ends lie at the vertices of the regular n-gon is equal to  0  (this identity is simply the projection of this vector equality on the horizontal axis.).

@ThU  Similar identities are often much easier to prove manually than with Maple. Here is an example in which the result is also obviously :

simplify(sum(cos(2*Pi*k/214748364), k=0..214748363));
     Error, (in SumTools:-DefiniteSum:-ClosedForm) summand is singular in the interval of summation

simplify(add(cos(2*Pi*k/214748364), k=0..214748363));
     Error, Maple was unable to allocate enough memory to complete this computation.  Please see ?alloc


@acer    @vv  Thanks for the helpful comments.

 @vv    `GAMMA/magic`:=100,100,infinity,50;   # I did not understand what that meant. Is it documented somewhere?


@mmcdara  Your procedure is contrary to the condition. According to the condition
if x<Mthen Mi*2
else Mi 
those elements of the list must be doubled, which is more than a given number  . In your example  x=5

@Markiyan Hirnyk  We all know that the analytical skills of Mathematica in a number of areas are unsurpassed. This is not news. So once again, do not spoil the mood of all Maple fans.

Happy New Year!

What is a[1] , a[3]  and  p[3]  in your diff. equation?

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