MaplePrimes Questions

Hello everyone,

I purchased Maple 2021 student version. I am using a Linux Ubuntu 20.04 machine. The machine is my personal computer, so there is no user access privilege restriction. I installed Maple using the GUI, and at the activation step, I get an error that says "Missing host ID for license server". I remember an option for servers or personal PC during download. I am confident that I chose the personal PC option.

Kind regards, and I look forward to hearing from you.

"Taking a list of numeric values L, and producing a list of lists [p,f(p)] for every p in L , is not complicated. In fact it is a quite straightforward and rather basic example of Maple programming"

This sentence i don't understand yet, so i must see a example?

Hey guys,

How can I create a bar chart or a column chart, with specific x values under the bars.

Would be great If someone could help me.

Thank you;) 

Help.mw

How to put a function in the ODE. I have attached below work here.

Thank you

Download Help.mw

The worksheet below contains the desired hyperbolic action and asks for the specific transformation that performs it.

Hyperbolic_Transformation.mw

I have corrected the above worksheet so that the Poincare disk is now centred at [0,0].

I hope this helps you answer my question

Is there some basis containing polynomials of the form x[1]^p*x[2]^q+x[2]^p*x[3]^q+x[3]^p*x[1]^q, (p,q posint)?
Are there known relationships between these?

Note: these are not the symmetric polynomials.

Kitonum had provided us the basis for a solution to this question.  I created a proc to make it versatile. 
The problem was how to force Maple to display the RHS of :

Here is the proc(I've condensed the variables)

extract := proc(a, expr) 
  local f:
  f := a: 
  ``(f)*expand(expr/f); 
end proc:

 

eq := 1/cao - 1/caa:
extract(1/cao, eq);
                     

 Now suppose we had an trigonometric expresssion and we extract cos(x) out of it

expr := cos(x) - sin(x)/(x^2*y) + 3*x*y
                       
bb := extract(cos(x), expr)
                       

ok, that's good, now we would like to keep the order but simplify the middle term sin/cos to tan.  The best way about it is to use algsubs and manually substitute the relation with the option exact.  I don't Maple can achieve this without the manual help.

algsubs(sin(x)/cos(x) = tan(x), bb, exact)
                   

Now we're at the mercy of Maple here.  Maple always likes to throw negative terms out front.  The premise of Maple is to show it as it would appear on paper.  I mentioned exact and it shouldn't have changed the order but it did.  So maybe if we use sort we can right it. 

sort(%)
             

Ok, good but now Maple has thrown the single term multiplier at the end. 

Can anyone get maple to put the cos(x) term out front?

help under object it says  (in Maple 2021)

The above has not been true for almost a year. Since in Maple 2021 one can do o:-m() 

person_class :=module()
  option object;
  export m:=proc(_self,$)
      print("you called me");
  end proc;
end module;

o:=Object(person_class);
o:-m()

            person_class := Object<<1758956556512>>
                  o := Object<<1758955674784>>
                        "you called me"

I hope this gets updated in Version 2022,  with examples also. The notation o:-method() is hidden in help and could not even find it, but it is meantioned in some pdf file which I lost track of at this moment. 

On another help page titled Overview of Object Methods it briefly mentions alternative call but the link that is supposed to explain it does not work. (clicking on it, produces nothing. Stays on same page). I guess no one tried this link before shipping Maple. 

Is this link somewhere to access directly in the help page?

How can factorise a polynomial with complex roots, without showing their numerical values of the roots, but only their symbolical value.

For example I have:

factor(x^4 - x^2 + x - 1)

and it shows me the following factorisation: (x-1)(x^3+x^2+1) but I want to also factorise x^3+x^2+1 but the roots should be displayed symbolically without numerical values of these roots. Then how to implement this task?

In the book I am reading it's stated to use factor(x^4-x^2+x-1, I), but it doesn't seem to be working.

Hi.

I have a question, if it is possible please guide me. I tried for this problem but I failed.

I have a set of linear equations that I want to find the "minimum" "positive" "integer" solution to it. This system may contain free parameters in some cases that they should be set an integer in such a way that they yield our goal namely "Minimum positive solution".

I used isolve but it does not work for this case.

Indeed I especially want that maple use isolve it and then search that if there are "freevars" (in the solution: produced by maple when we use isolve code) or not, if yes then set number such that all solutions be the minimum positive integer set that we can have, indeed, the "freevars" should not set manually, but by the Maple. In the case that there is no "freevar", then maple should give me the minimum positive integer that we can have.

Note that the result must be a unique set of solutions.

For example, one of such systems that I am concerning is as follows which contains freevar in solution when we use isolve.

sys := [a[1] = 2*a[5], a[1] = a[4], 4*a[1]+2*a[3] = a[6]+2*a[7], 2*a[2]+2*a[3] = 2*a[6], a[2] = a[4]+a[5], 2*a[2]-a[1] = 2*a[4]]

Hello everybody.

I have a short question. I have an expression related to the calculation of the Gaussian curvature

-24.*y^6*(y-1.)^7*(y+1.)^7*(4.+6.*y^8-22.*y^6+30.*y^4-18.*y^2)/(4.*y^18-28.*y^16+84.*y^14+4.-136.*y^12+116.*y^10-24.*y^8-52.*y^6+56.*y^4-24.*y^2)^2

that is diverged for y=1 as (y-1)^(-2). 

At the same time substitution of something like y:=1.00001 gives the value almost zero. 

What is the trick?

How do I write this in Maple?

Find points P and Q on the parabola y = 1 − x^2 so that the triangle ABC formed by the x-axis and the tangent lines at P and Q is an equilateral triangle.

Thank you!

How do I write this in maple?

Find the maximum value of l f"(x)l on the indicated interval. f(x)= sqrt1+x^2  [0,2]

Thank you!

How do I write this in maple?

The figure shows a circle with radius 1 inscribed in the parabola y = x^2 . Find the center of the circle.

Thank you!

When performing a RootOf command on a polynomial how would you then extract the polynomial itself from the result?

I.e. If i were to set A:= RootOf(x^2-1) Maple would then return A = RootOf(_Z^2-1), so what command performed on A is needed to give me just _Z^2-1 (or even better x^2-1)?

Sorry if this is horribly worded  :(

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