Maple 2016 Questions and Posts

These are Posts and Questions associated with the product, Maple 2016

I have noticed this a couple of times now. If I  do a Saveas on a workbook document A to a new name B. Close maple. Reopen and load the new workbook document B it retains the old file name in the header bar and at the top of the workbook document list. The new filename is shown across the dark part at the top along with the old file name. The only fix I found the last time was to export the workbook as  B.mw, then saveas to B.maple and reattach documents. Painful.

 

 

The commands below are from a response by Carl Love to a question posed on February 27, 2016.

Variable t is not mentioned in the plot of f. Does t assume one or more particular values in the construction of the plot?

When t is given a specific value before executing the plot command, the resulting plot appears to be independent of t's value.

What is the logic behind the plot's construction?

f:= cos(2*t/m) + cos(2*(t+5)/m):
plot('maximize'(f), m= 1..10);

Hi

 

I have a system of equations (4) which I would like to plot in regards to a fifth variable. Is there a good way to do this. Some of the solutions would end up as negative values, which is not an option I am interested in having.

 

C__A is my variable, and the other variables I would like to solve are tau,C__B,C__C,C__D. Im specifically interested in tau with regards to C__A. I hope this makes sense :)

regards

 

C__A := .75;
                              0.75


a := tau = (C__A0-C__A)/(-r__A);
                                  0.75                      
    tau = - ------------------------------------------------
                                              2             
            -0.00900 C__B + 0.03500000000 C__C  - 0.075 C__C
b := tau = (C__B0-C__B)/(-r__B);
                               2 - C__B              
          tau = - -----------------------------------
                                                    2
                  -0.00900 C__B + 0.03500000000 C__C 
c := tau = (C__C0-C__C)/(-r__C);
                                C__C                  
         tau = ---------------------------------------
                                        2             
               0.01800 C__B - 0.070 C__C  - 0.075 C__C
d := tau = (C__D0-C__D)/(-r__D);
                           13.33333333 C__D
                     tau = ----------------
                                 C__C      
sol := fsolve([a, b, c, d], {C__B = 1, C__C = .2, C__D = .2, tau = 50});

{C__B = 1.673672109, C__C = 0.2289836744, C__D = 0.4236721086, 

  tau = 24.66971264}

I'm trying to solve the equation    

diff(y(x), x) = -A*y(x)/x+x^alpha*(C+(y(x)^alpha/x^alpha-C)^(-gamma))/y(x)^alpha 

i.e

and I'm getting the following answer

y(x) = RootOf(-ln(x)-Intat(_a^alpha/(_a^(1+alpha)*A-C-(_a^alpha-C)^(-gamma)+_a^(1+alpha)), _a = _Z)+_C1)*x

i.e

Please tell me what exactly is '_a' and '_Z'. I'm finding it hard to understand this language.

 

I'm doing a Maximum/Minimum problem ( Calculus 3).

I need to plot f(x,y) =   x2  + y 2 -2y + 1

over R={x,y): x 2 + y 2         (less than or equal sign) 4}

Hello, everyone. I have a group project where we have to explain the Josephus problem and use Maple to solve the problem. I am trying to solve the problem in multiple ways (because why not), but I am struggling with my third procedure. I understand the logic behind it and how its supposed to achieve O(k*logn), but the code that I wrote for it doesn't seem to produce the correct result.

JosephusImproved := proc (n, k)
local count, result:
if n = 1 then
return 0:
elif 1 < n < k then
return JosephusImproved(n - 1, k) + k + 1 mod n:
else
count := floor(n / k):
result := JosephusImproved(n - count, k):
result := result - n mod k:
if result < 0 then
result := result + n
else
result := floor(result /(k - 1)):
return result:
end if:
end if:
end proc:

Note: The regular recursive expression [Josephus(n - 1, k) + k + 1 mod n] has a "+ 1" since that was the only way I could make Maple do the calculation correctly. Proven with a Cyclic procedure I already made.
Note 2: I am using Maple 2016 and 2D Math.

I would like some insight as to how I could fix this so that it works, just like the regular recursive procedure and cyclic list that I have.

Cheers.

I can't get the Real and Imaginary parts of matrix to seperate out as required. It is an SU(2) matrix. Want to convert is to a 4 Vector (quaternion). I think because Maple doesnt know what psi(t) is being conservative so to speak. Tried assume, assuming...
 

restart

assume*{psi(t), 'real'}

assume*{real, psi(t)}

(1)

V := Matrix(2, 2, {(1, 1) = (1/4)*cos((1/2)*psi(t))*sqrt(2)*sqrt(4-2*sech((1/6)*sqrt(3)*t))-I*cos((1/2)*psi(t))*sqrt(2)*tanh((1/6)*sqrt(3)*t)/sqrt(4-2*sech((1/6)*sqrt(3)*t))-((1/2)*I)*sin((1/2)*psi(t))*sqrt(2)*sqrt(3)*sech((1/6)*sqrt(3)*t)/sqrt(4-2*sech((1/6)*sqrt(3)*t)), (1, 2) = (1/2)*cos((1/2)*psi(t))*sqrt(2)*sqrt(3)*sech((1/6)*sqrt(3)*t)/sqrt(4-2*sech((1/6)*sqrt(3)*t))+((1/4)*I)*sin((1/2)*psi(t))*sqrt(2)*sqrt(4-2*sech((1/6)*sqrt(3)*t))-sin((1/2)*psi(t))*sqrt(2)*tanh((1/6)*sqrt(3)*t)/sqrt(4-2*sech((1/6)*sqrt(3)*t)), (2, 1) = ((1/4)*I)*sin((1/2)*psi(t))*sqrt(2)*sqrt(4-2*sech((1/6)*sqrt(3)*t))+sin((1/2)*psi(t))*sqrt(2)*tanh((1/6)*sqrt(3)*t)/sqrt(4-2*sech((1/6)*sqrt(3)*t))-(1/2)*cos((1/2)*psi(t))*sqrt(2)*sqrt(3)*sech((1/6)*sqrt(3)*t)/sqrt(4-2*sech((1/6)*sqrt(3)*t)), (2, 2) = ((1/2)*I)*sin((1/2)*psi(t))*sqrt(2)*sqrt(3)*sech((1/6)*sqrt(3)*t)/sqrt(4-2*sech((1/6)*sqrt(3)*t))+(1/4)*cos((1/2)*psi(t))*sqrt(2)*sqrt(4-2*sech((1/6)*sqrt(3)*t))+I*cos((1/2)*psi(t))*sqrt(2)*tanh((1/6)*sqrt(3)*t)/sqrt(4-2*sech((1/6)*sqrt(3)*t))})

Matrix(%id = 18446744074495800014)

(2)

``

``

v := Vector(4, [Re(V[1, 1]), Im(V[1, 2]), Re(V[2, 1]), Im(V[1, 1])])

Vector[column](%id = 18446744074531387982)

(3)

``


 

Download extract_R_and_I.mw

Dragilev:=proc(Polynomials::depends(list(ratpoly(integer,Variables))),Variables::list(symbol),DEvar::symbol,DEsuffix::string)

The above procedure parameter Polynomials accepts a list of polynomials containing indeterminates contained in parameter Variables, but also accepts simple arithmetic expressions such as 34.

Is there any parameter qualifying coding which will only accept polynomials containing one or more of the indeterminates passed in parameter Variables?

I am using matrices to input data in order to plot it on a surface plot. Is it then possible to export an animation of this graph rotating around an axis?

My matrix is 40 x 3 Matrix

 

Thanks :)

I have the following function which came from a collaborator of a collaborator. It computes a generating function for a family of function's we're using.

GF_Generate := proc (n) 
	local summand, i, j;
	summand := U[0]^x[0]*mul(U[i]^y[i], i = 1 .. n)*mul(binomial(x[0]+add(w[j], j = 1 .. i), y[i])*p^y[i]*(1-p)^(x[0]+add(w[j], j = 1 .. i)-y[i])*binomial(x[0]-1+add(w[j], j = 1 .. i), x[0]-1+add(w[j], j = 1 .. i-1))*v[i]^(x[0]+add(w[j], j = 1 .. i-1))*(1-v[i])^w[i], i = 1 .. n);

	for j from n by -1 to 1 do summand := normal(sum(summand, y[j] = 0 .. infinity)) end do;
	for j from n by -1 to 1 do summand := normal(sum(summand, w[j] = 0 .. infinity)) end do;
	
	sum(summand, x[0] = 0 .. infinity) 
end proc;

For arguments of 2 and 3 it's quick and works fine on Maple18 (tested both GUI and terminal client on OS X), Maple2015 (tested terminal client only on RHEL linux), but generates a "too many levlels of recursion" error in Maple2016 (tested terminal client only on RHEL linux; same server as Maple2015 was tested). It's slow for arguments of 4 and above (45 minutes for n=4 on my mac laptop), so I haven't tested it thoroughly with larger arguments.

Any idea why this code fails in Maple 2016?

 

I'm trying plot  with implicitplot a expresion which involve Lambert W, but the result is very confuse, is it normal? Could i improve the result?, how?. Thank!

Is there anyone who has seen maple 2017 provide some details about what new features are being introduced. Is there a platform where we can suggest what features we would like to be added or enhanced?

Usually maple displays legend as either a colored line or symbol. If pointline is used in the structure of the command the plot is displayed as both point and line while the legends appear as a colored line, Is there a way in which the curve will combine both point and line and the legend(s) will be strictly point?

Thank you and kind regards

Dear Maple community,

I've added a label to one of my plot similar to (a+b+c)/a. How can I prevent Maple from rearranging it to (c+a+b)/a? I think it might have something to do with typeset..?

Thank you very much for your support!

Claudio

Dear Maple community,

I just recently purchased Maple 2016.2 Student Edition for my bachelor thesis and ran into an issue I was unable to resolve myself, maybe I didn't find the right English search terms..?

I need to use a small greek gamma with a horizontal bar above it. I know how to use accents, though, in output the bar is missing and this seems to apply for gamma ONLY. Is it just me or is it a bug maybe? I used exactly the same procedure to enter all variables.

The same problem returns when I try to add gamma to a plot label, so I think it's somehow connected.

From what I gathered so far, maybe it's possible to work around by editing some sort of Maple source code..? But I wouldn't know how to do that, so any help would be very much appreciated!

Thanks in advance and best regards from Germany

Claudio

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