Stretto

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1 years, 27 days

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These are questions asked by Stretto

I'm trying to plot several plottools:-line

 

The only issue is that when I use a mouse to select the lines in the plot only one line segment is plotted. There seems to be no line sequence. How do I group all the lines in to one line structure so the mouse will select them all? [This is because when one selects a line with the mouse in the plot maple highlights it and this can make it easier to follow from other paths]

I used text math input, finding parenthesis is very difficult sometimes.

 

It would be very nice if parenthesis were color coded OR coloring of the texted was based on parenthetical depth.

E.g.,

display(plot(something(or another)))

 

 

with(IterativeMaps): with(ImageTools):

 

BP := proc(f, S, I, m, M, xm, xM)
    local L;
    L := Bifurcation([x], f, S, m, M, xmin=xm, xmax=xM, height=800, width=1300, iterations=I+500):
    ArrayTools:-Dimensions(L):
    ColouringProcedures:-HueToRGB(L):
    Embed(L);
    L:    
end proc:

 

F := []:
f := [sign(r)*ln(abs(r))*cot(x)*(log[2+abs(r)](abs(x)) - x*sin(x))]:

F := [op(F), BP(f, [0.1], 10000, -10, 10, -15, 15)]:
F := [op(F), BP(f, [0.2], 10000, -10, 10, -15, 15)]:

F := [op(F), BP(f, [0.3], 10000, -10, 10, -15, 15)]:

F := [op(F), BP(f, [0.4], 10000, -10, 10, -15, 15)]:

 

I was trying to create some images of some bifurcations. I can't seem to create an animation from the images.

 

Also, Embed works great but each call to BP overwrites the previous image(rather than creating a new image)... Preview works but doesn't scale the images up properly.

I have a recursive function that spits out recursive formulates "evaluated inertly" so bascially it produces a formula simply like a symbolic formula(doesn't reduce the addition of values though).

 

What I would like is to color code each recursive step

e.g.,

F := proc(n)
    local i,k:
    if n <= 0 then return 1; end if:
    F(n-2) %+ F(n-1):
end proc:

F(5);

value(F(5));
 

so I would like to cover each part of the recursion differently so it is easier to see, maybe even use the previous colors so one can visualize the nestings of the recursion. (e.g., F(n-2) takes the previous formals color and tweaks it towards the red and and F(n-1) takes the porevious formulas color and tweaks it towards green)
(this would then pass an RGB value that(default, say blue) to the functions above).

 

Any way to accomplish this?

 

 

 

 

I have a formula that essentially is a m-order sum over a totally ordered set(the integers).

 

sum_{n_1=1)^{n_0} ... m times ... sum_{n_m=1}^{n_{m-1}}

 

It may be a little confusing but essentially it is just summing over all monotonic lidyd of size m of [1..n_0]

e.g., if n_0 = 4 and m = 3 then

1 2 3

1 2 4

1 3 4

2 3 4

 

Does maple have a convient way to do this? Ideally some function like osum(..., i=1..n_0, m)

where i is a multi-index(just the ordered list here so I could access i[1] the smallest, value, i[2] is the next largest, etc).

 

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