Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Hello every body

i want to solve the following integal but i cant please help.

integral sqrt(a l (l - log(t) - 1) log^(l - 2)(t)×(1 - a×t/(a l log^(l - 1)(t)))/t^2) dt

 

Everytime I try to save Maple 2017 on my Windows 10 computer crashes. With this bug I cannot save anything. I have tried reinstalling maple but nothing changes.

Note this is not a maple autosave issue as I have disabled it.

I am trying to use MultiSeris package to expand a function (nu3 in the code).

The function has two variables, w and u. I want Maple to treat w as a constant and u as the variable.

As you can see from the code, somehow if I replace w by any rational number and do the expansion, I get an expansion with a constant * u term. However, if I replace w with zeta(3) (or pi), then some how the u term vanishes. I think this cannot be correct. Is this a bug?
 

nu3 := -sqrt(-2*sqrt(w)*sqrt(w+2)*u^4+2*u^4*w+4*sqrt(w)*sqrt(w+2)*u^2+u^4-4*u^2*w-2*sqrt(w)*sqrt(w+2)-2*u^2+w^2+2*w+1)+sqrt(-2*sqrt(w)*sqrt(w+2)*u^4+2*u^4*w+4*sqrt(w)*sqrt(w+2)*u^2+u^4-4*u^2*w-2*sqrt(w)*sqrt(w+2)-2*u^2+2*sqrt(-2*sqrt(w)*sqrt(w+2)*u^4+2*u^4*w+4*sqrt(w)*sqrt(w+2)*u^2+u^4-4*u^2*w-2*sqrt(w)*sqrt(w+2)-2*u^2+w^2+2*w+1)+2)+w-1

-(-2*w^(1/2)*(w+2)^(1/2)*u^4+2*u^4*w+4*w^(1/2)*(w+2)^(1/2)*u^2+u^4-4*u^2*w-2*w^(1/2)*(w+2)^(1/2)-2*u^2+w^2+2*w+1)^(1/2)+(-2*w^(1/2)*(w+2)^(1/2)*u^4+2*u^4*w+4*w^(1/2)*(w+2)^(1/2)*u^2+u^4-4*u^2*w-2*w^(1/2)*(w+2)^(1/2)-2*u^2+2*(-2*w^(1/2)*(w+2)^(1/2)*u^4+2*u^4*w+4*w^(1/2)*(w+2)^(1/2)*u^2+u^4-4*u^2*w-2*w^(1/2)*(w+2)^(1/2)-2*u^2+w^2+2*w+1)^(1/2)+2)^(1/2)+w-1

(1)

with(MultiSeries)

[AddFunction, FunctionSupported, GetFunction, LeadingTerm, RemoveFunction, SeriesInfo, asympt, limit, multiseries, series, taylor]

(2)

series(subs(w = 7/13, nu3), u = 0, 3)

series((-(-(2/13)*7^(1/2)*33^(1/2)+400/169)^(1/2)-6/13)+((1/13)*26^(1/2)*((2*7^(1/2)*33^(1/2)*(-(2/13)*7^(1/2)*33^(1/2)+400/169)^(1/2)+2*7^(1/2)*33^(1/2)-27*(-(2/13)*7^(1/2)*33^(1/2)+400/169)^(1/2)-27)/(-(2/13)*7^(1/2)*33^(1/2)+400/169)^(1/2))^(1/2))*u-((1/13)*(2*7^(1/2)*33^(1/2)-27)/(-(2/13)*7^(1/2)*33^(1/2)+400/169)^(1/2))*u^2+O(u^3),u,3)

(3)

series(subs(w = 1, nu3), u = 0, 3)

series(-(-2*3^(1/2)+4)^(1/2)+(2^(1/2)*((2*3^(1/2)*(-2*3^(1/2)+4)^(1/2)+2*3^(1/2)-3*(-2*3^(1/2)+4)^(1/2)-3)/(-2*3^(1/2)+4)^(1/2))^(1/2))*u-((-3+2*3^(1/2))/(-2*3^(1/2)+4)^(1/2))*u^2+O(u^3),u,3)

(4)

series(subs(w = zeta(3), nu3), u = 0, 2)

series((-(-2*zeta(3)^(1/2)*(zeta(3)+2)^(1/2)+zeta(3)^2+2*zeta(3)+1)^(1/2)+(-2*zeta(3)^(1/2)*(zeta(3)+2)^(1/2)+2*(-2*zeta(3)^(1/2)*(zeta(3)+2)^(1/2)+zeta(3)^2+2*zeta(3)+1)^(1/2)+2)^(1/2)+zeta(3)-1)-((2*(-2*zeta(3)^(1/2)*(zeta(3)+2)^(1/2)+2*(-2*zeta(3)^(1/2)*(zeta(3)+2)^(1/2)+zeta(3)^2+2*zeta(3)+1)^(1/2)+2)^(1/2)*zeta(3)^(1/2)*(zeta(3)+2)^(1/2)-2*zeta(3)^(1/2)*(zeta(3)+2)^(1/2)*(-2*zeta(3)^(1/2)*(zeta(3)+2)^(1/2)+zeta(3)^2+2*zeta(3)+1)^(1/2)-2*(-2*zeta(3)^(1/2)*(zeta(3)+2)^(1/2)+2*(-2*zeta(3)^(1/2)*(zeta(3)+2)^(1/2)+zeta(3)^2+2*zeta(3)+1)^(1/2)+2)^(1/2)*zeta(3)+2*zeta(3)*(-2*zeta(3)^(1/2)*(zeta(3)+2)^(1/2)+zeta(3)^2+2*zeta(3)+1)^(1/2)-2*zeta(3)^(1/2)*(zeta(3)+2)^(1/2)-(-2*zeta(3)^(1/2)*(zeta(3)+2)^(1/2)+2*(-2*zeta(3)^(1/2)*(zeta(3)+2)^(1/2)+zeta(3)^2+2*zeta(3)+1)^(1/2)+2)^(1/2)+(-2*zeta(3)^(1/2)*(zeta(3)+2)^(1/2)+zeta(3)^2+2*zeta(3)+1)^(1/2)+2*zeta(3)+1)/((-2*zeta(3)^(1/2)*(zeta(3)+2)^(1/2)+2*(-2*zeta(3)^(1/2)*(zeta(3)+2)^(1/2)+zeta(3)^2+2*zeta(3)+1)^(1/2)+2)^(1/2)*(-2*zeta(3)^(1/2)*(zeta(3)+2)^(1/2)+zeta(3)^2+2*zeta(3)+1)^(1/2)))*u^2+O(u^4),u,4)

(5)

``

``


 

Download bug-in-MultiSeries.mw

Hello,

I am trying to get Maple to display sin2(x)  rather than (sin(x))2.  In particular I am trying to have it output the latex for the prior using latex(sin^2(x) , output=string), or similar.

Any ideas would be greatly appreciated.

 

Thanks,

Mark

 

Supposing as a nice simple example I use the power series command,

series(ex, x=0,8)

to get,

1+x+12x+ 16x+ 124x+ 1120x+ 1720x+ 15040x7

Is there automated anyway to get this as a Sigma representation? 

Hey, as mentioned in the Titel, I have a corrupted worksheet that i would like to compare to my work nowdays(its and old safe)

It was stored on an USB stick.

I uploaded the file uneddited - but i allrdy tryed the repair steps that maple gives us. But also i could have dont something wrong.

 

If the file is not to be repaired i would like to know that atleast. Thank you!

of the matrix

Matrix(n, (i, j) ->binomial(a*i+b*j, j) );

? I mean an explicit formula in terms of a, b, and n which consists of n+1 summands. Of course, it should be found with Maple, not by hand.

How do I plot e.g sin(theta), theta in radians but would like to have the x axis labeled in degrees?

S

I ran the short program below in trying to understand how the read statement works.  The read statement output the expected values of a, b, c to the screen.  I was curious to find where it had stored the file named 'tempor', so inspected my hard drive in the directory where the program was stored - to find it wasn't there.  I then commented the a, b, c statements and the save command so the program is now as in the second version below:

 

 restart:

a:=2:b:=3:c:=4:

save a, b, c, "tempor";

read tempor;

eval(a);

 

  I ran this program, expecting an error message, but it gave me the same output as before.   I again unsuccessfully searched for the file.   I then turned the computer off after saving the program, rebooted and ran thhe same program below.  It output the same values as before.  I'm thinking that Maple creates a special file, and appends it to the program, something like a table.  I'm not quite sure how this would be used, as opposed to just stating te values of a, b,c in the program.

   Any advice or comments gratefully received.

David 

 

restart:

#a:=2:b:=3:c:=4:

#save a, b, c, "tempor";

read tempor;

eval(a);

if i have agroup consist of two values for example {0.2,0.5} how to name 0.2 with a certian symple like R and 0.5 with other sympol

hi . i want to solve this pde. but don't get a solution

restart;
pde := diff(c(x, t), t) = d*(diff(c(x, t), x$2));
ibs := c(0, t) = (c[1]+c[2])*(1/2), c(-infinity, t) = c[1], c(infinity, t) = c[2];
pdsolve([pde, ibs]);
 

To determine whether or not equilibrium points of a nonlinear ordinary differential equation is globally stable, a Lyapunov function is often employed. Since there are no general methods for constructing Lyapunov functions, May I know if there are methods in MAPLE that can be used to determine these Lyapunov functions? Thanks

I have a function inside a file called proc2.mpl

When I read the file from a worksheet using the command read("proc2.mpl"); I see warning messages

Warning, incomplete string;  use " to end the string
Warning, incomplete string;  use " to end the string

printed on the screen.  Now if I copy the same exact code and past it into the worksheet and invoke the function, I see no warning messages.

Why is that? Here is the content of "proc2.mpl"

process_file := proc()
  local str,fileName;


  fileName := "output.txt";
  
  str:="
   \\begin{align*}
     A =& B  \\\\ 
       =& 3
   \\end{align*}
  ";
	
  writebytes(fileName, str);
  close(fileName);

end proc:

Here is screen shot loading the function from worksheet

But now when I call it using process_file(); it works as expected.

Now here is screen shot with same code inside the worksheet itself. No warning messages show up when I call it.

And the above call also works as expected.

So I am now ignoring these warning messages since I also do not know what causes them.

Any ideas why they show up when the code is inside a .mpl file and not in the work sheet?

Maple 2017.3 on windows.

 

 

 

Just want some input if anyone thinks this is a bug or not

Hiding the contents of equation labels in one table (table -> properties -> uncheck show equation labels) removes all reference to the labels within that table.  Is that supposed to occur?

The table below has show equation labels checked.  If I uncheck the show equation labels in the first table I would expect the reference labels (1) and (2) to disappear and (3) and (4) references in the next table to remain unchanged.

However unchecking show equation labels in the first table relabels the two equations in the second table to (1) and (2) as shown below.  Is this a bug?

However this doesn't disrupt further content in the worksheet if references were made to equation label (1). After unchecking show equation labels in the first table, all original references to label (1) are replaced with the actual value (sin(x))

First 864 865 866 867 868 869 870 Last Page 866 of 2219