MaplePrimes - Maple 2025 Posts and Questions

convolution boundaries

JoyDivisionMan — Mon, 06 Apr 2026 17:45:57 Z

Greetings, Friends.

I have a function f(t) which is a density function. It has a [0,2] interval and integrates to unity. I convolve f(t) with itself to get g(t). It has a [0,4] interval and integrates to unity. All is well with that and I understand.

BUT, the boundary of g(t) shouild be on the interval [0,4/sqrt(3)]. This is based upon both my simulation and other analyses.

At present, the area of the g(t) function on the [4/sqrt(3), 4] interval accounts for 1.408701% of the area under the curve. Not a "trivial" nor "throwaway" amount.

Does anyone know of a way to "re-scale" or modify my convolved result g(t) so that all of the resultant area under the curve is on the [0,4/sqrt(3)] interval?

My work is attached.

(1)

(2)

(3)

(4)

(5)

(6)

(7)

Download SphereConvolution.mw

Matt makes a multiplication table

Mister_Matthew_abc — Mon, 06 Apr 2026 01:30:23 Z

Hi mapleprimes, and all,

did a little exploration with the Matrix() and ifactor() Maple commands.

prime_factorization_of_one_digit_numbers.mw

have a look
no warnings, and no errors

Regards,
Matt

Is this a valid list operation?

ianmccr — Sun, 05 Apr 2026 21:33:35 Z

Note that Maple 2026 is not an available option on the product list above. This operation was used in Maple 2026.

I obtained code for the shuffle product of two lists from the AI Assistant. Included in the code was the following list operation to extract a sublist.:

defined list u:=[a,b,c]: extract the sublist using the operation u[2..-1] which gives correct result [b.c]

Normally, I would have expected this operation would be encoded as [op(2..-1),u] .

Is the shortcut notion reliable or should the operation have been encoded using op() to be safe.

solving equations for an explicit form

elemental cinder — Sat, 28 Mar 2026 16:31:47 Z

In the Maple dock i am having problems finding the explicit value for x, for my equation. I need it, to find the value for r later.

so i will be kindly asking for Maple wizards to help me.

i thank of you in advance for your help, any comment is appreciated.

admissable prime 3 tuple

Mister_Matthew_abc — Fri, 27 Mar 2026 11:24:55 Z

Hi Maple community, and all,

My intrest in prime numbers continues.

Made a quick example file.

3_tuple_admissible_example.mw

3_tuple_admissible_example.pdf

also, see my webpage for similar content
https://mattanderson.fun
and Norman, in Germany
prime k-tuplets & Primzahlen

Enjoy

Matt

converting RealRange to list

nm — Thu, 26 Mar 2026 02:45:19 Z

when getting sequence of RealRange, I'd like to convert this to normal list. Currently I have to use map twice on the result, but I think there should be simpler way.

Below is what I do. I was wondering if there is a better way in Maple to do this, may be a built in command?

Basically, if the input is

RealRange(-2*Pi,Open(-7/4*Pi)), RealRange(Open(-5/4*Pi),Open(-3/4*Pi)), 
RealRange(Open(-1/4*Pi),Open(1/4*Pi)), RealRange(Open(3/4*Pi),Open(5/4*Pi)), 
RealRange(Open(7/4*Pi),2*Pi)

I want to change the above to normal list like this (without any Open, etc.. in it) to make it easier to post process (say for plotting and so on)

[[-2*Pi, -7/4*Pi], [-5/4*Pi, -3/4*Pi], [-1/4*Pi, 1/4*Pi], [3/4*Pi, 5/4*Pi], [7/4*Pi, 2*Pi]]

This is what I do now on an example that generates sequence of RealRange

restart;

>	f:=x->2x-tan(x); the_intervals:=solve(diff(f(x),x)>0 and x>=-2Pi and x<= 2*Pi,x);

>	lprint(the_intervals);

RealRange(-2*Pi,Open(-7/4*Pi)), RealRange(Open(-5/4*Pi),Open(-3/4*Pi)),
RealRange(Open(-1/4*Pi),Open(1/4*Pi)), RealRange(Open(3/4*Pi),Open(5/4*Pi)),
RealRange(Open(7/4*Pi),2*Pi)

>	map(X->convert(X,list),[the_intervals]); map(X1->map(X2->`if`(has(X2,Open),op(X2),X2),X1),%);

>	lprint(%);

[[-2*Pi, -7/4*Pi], [-5/4*Pi, -3/4*Pi], [-1/4*Pi, 1/4*Pi], [3/4*Pi, 5/4*Pi], [7/
4*Pi, 2*Pi]]

Download convert_realrange_to_list.mw