i use all code really sometime this is happen i can find each term seperatly without any factoring and collecting term i want all of them term by term i did all simplify code but i did't get result

Download simplify.mw

While Maple provides built-in functions for handling continued fractions, such as NumberTheory[ContinuedFraction], I employ custom implementations to better suit educational purposes. The custom code allows for step-by-step demonstrations, making it easier for students to understand how each convergent is calculated. Additionally, it offers more flexibility in modifying
the process of exploring generalized or specific continued fractions, such as those used in solving
quadratic equations or demonstrating the convergence properties of irrational numbers.

If the logarithmic error plot is approaching zero, the errors are decreasing as the number of iterations increases. This behavior shows that the continued fraction is indeed converging to the actual value.

However, a logarithmic scale that approaches zero might be a bit misleading. Given that the current code produces a logarithmic error plot that may not appear to go sufficiently negative, it might indicate that the approximations are not yet close enough.

The issue I face with the error plot stopping after 12 terms might be due to the logarithmic transformation attempting to take the logarithm of very small or zero errors, which can cause issues when plotting. However, I don't know how to fix this problem

Download continued-fraction.mw

Can we find the conditions on A1, A2, B1, B2, beta1, and beta2 for which numerator of Eq. (1) is zero? ss.mw

I am trying to create a ring of difference operators with customly defined actions. I have managed to get the code to work to an extent, but I am having trouble creating the inverse operators. For example, if Sn sends n to n+2, I want to create Sn^(-1) that sends n to n-2. When I tried to input this into the algebra itself, it gave me the following error: "Error, (in Ore_algebra:-skew_algebra) indeterminate n may appear in a single commutation only". Below is the code that creates the difference algebra. Apologies for the bad formatting.

> with(Ore_algebra);

> CreateDifferenceAlgebra := proc (vars::(list(symbol)), offsets::(list(numeric)))

local actions, i, var, diff_op,
shift_offset, algebra; actions := table();
for i to numelems(vars) do
   var := vars[i];
   diff_op := convert(cat("S",\var), symbol);
   shift_offset := offsets[i];
   actions[diff_op] := (proc (values) options operator, arrow; proc (u, order)
      local res; res := u;
      to order do res := subs(values[1] = values[1]+values[3], res*values[2]) end do;
      res
      end proc

   end proc)([var, diff_op, shift_offset]) end do;

algebra := Ore_algebra:-skew_algebra(seq(shift = [convert(cat("S",

vars[i]), symbol), vars[i]], i = 1 .. numelems(vars)),

action = {seq(convert(cat("S", vars[i]), symbol) =
actions[convert(cat("S", vars[i]), symbol)], i = 1 ..
numelems(vars))}); return algebra end proc


;
 

I have angled some test to be parallel to the slope of a line. It tuns out that the text is only parallel if scaling = constrained is used. That is not necasserily pratical for many plots. In prcttice I have a nice proedure for this. Is there any way to pickup the plot x-y scaling factor that maple decides on so I could built that into the procedure. I have manually rescaled her to demonstrate.

mmm...I see the website viewer does not rotate the text.

Download 2024-10-15_text_not_always_parallel.mw

Download problems_with_solve_15.10.24.mw

Hey guys, 

I'm working with Maple to solve sets of 8 equations and 14 inequalities. I use the command solve to get values for my 8 variables. Often there is no solution, sometimes we have one single solution or like a parametric solution. However sometimes this procedure fails to finish the calculation, that means I stop the calculation after a certain time (multiple houres). So now I am looking for some other ways to get the solution. For example I try a two-stage solve-attemp. In the first round I use the solve coammand only for the set of 8 equations. In the second round I take each of the solutions I found in the step before and combine them with the set of inequalities. Then I use solve again for this set. 

However I found out that the two ways I described above lead to diffrent solutions. In my opinion the solutions of solve(equations union inequalities) should be a subset of solve(equations), since all the solutions we find with equations union inequalities has to fullfill the 8 equations we want put into solve(equations). As you can see in the attached file that is not the case. The sets of solutions of solve(equalities union inequalites) and the set of solutions of solve(equalities) is disjoint, so no subset. 
Since I have disjoint sets in the step between, the solutions of solve(equations union inequalities) and the solutions of solve((solve equations) union inequalities) are disjoint as well, so I think the problem is already in the step before. 

I would be really glad if anyone can help me. Either explain me, where my argumentation above went wrong or why I find those solutions which dont fit together. 

Regards
Felix

When i want reploting with the parameter i make them shorter by hand, make a problem for me and give me the same graph how fixed this problem? there is any code write in begind and give me all number about 2 decimal?

Download decimal.mw

Hello

I would like to replace the expression

"floor(root(n,3))"

by another, more efficient one. Maybe something with iroot?

n is a positive integer.

Thanks for an answer.

I have currently a Maple session running with only one open worksheet.

The worksheet only contains an input line with the name "a" and an output line with the name "a".

The fan of my laptop is running full throttle and the task manager displays 10% CPU usage and a very high power usage (3 mserver.exe running, the process with the cpu load is javaw.exe. Suspending this process shuts down the fan).

After about an hour I decided to ask. While typing this post (in Firefox, probably unrelated) the CPU usage went down and the fan went quite. The total system CPU usage is now down to 2%.

Has anybody seen the same? What could have cause it? It's not the first time I observe this. Anything that I could check before restarting Maple? All on Windows 10 after system restart.

Update:

The thread that consumes cpu is called ucrtbase.dll!configthreadlocate

Starting Maplesim in parallel almost immediately turns off the fan while the displayed cpu load is still high but now variing.

I was not expecting to see step-by-step for this ode, but why does it give internal error instead of saying not supported? 

Am I doing something wrong in the call? Unfortunately, this Maple internal error can't be trapped at user level. Which means the whole program terminates also.

Download too_many_Levels_odesteps_oct_14_2024.mw

How can I solve this function faster? solve the solution is more accurate, but the solution speed is too slow, the use of fsolve to solve the speed is faster, but the solution is not accurate, what is the solution fast and accurate?question11.mw

Hi everyone! I solve this NLP and I wanna get the solution in terms of the desired parameters h1, h2, Could you tell me how to correct the code? 
 

Download Expression_of_NLP_with_desired_parameters.mw

I can't understand why Maple interprets 1 .05  as 1 * 5 = 5 , and 2 .05  as 2 * 5 = 10 . Note the space between 1 and .05
In a different calculation I accidentally inserted a space between 1 and .05, and received a strange answer, and finally narrowed it down to a space.
But now I wonder why it is it is interpreting this way. Also I see that 2  0.05 produces an error. But  2 .05 is treated as 10. There is an implied multiplication? But the multiplication should be 2 * .05 , which is 1 and not 10.

Good day, all.

I would like to explore the structure of the discrete modified form of the logistic equation.

In particular, I wish to plot the logistic-map to investigate the bifurcations of the system.

Is there a routine available in Maple that I can use?

I would like to consider the standard logistic equation with the inclusion of a shape parameter, m, introduced as a power law.

That is:

f(x) = a*x*(1-x^m)

where a > 0 denotes the growth rate, and m > 0  is a shape parameter. I wish to fix the value of a and take m to be the bifurcation parameter (so the logistic map would show m versus x for any given a).

Please note: The standard logistic equation (in discrete form) is given by f(x) = a*x*(1-x)

I would be grateful for any advice and support you can provide and I thank you for taking the time to read this.

i found thus condition which if we substitute in equation must be equal to zero, i don't know  how i can get zero

test_pde1.mw