If we consider the finite double sum I:=\sum{r=0}^{i}\sum{r=0}^{j}\frac{(-1)^k(i+j-r-s)! (\mu+\frac{1}{2})_{i+j-r-s}}{r!s!(i-r)!(j-s)!(k-r-s)!(\mu+\frac{1}{2})_{i-r}(\mu+\frac{1}{2})_{j-s}} where j positive integer j positive integer k positive integer such that 0\leq k\leq min(2i,2j) \mu a positive real Question: How we can use maple to justify that I is nonegative Thank you

Element(U,atomicweight) returns a mass, okay but then I choose

Element(Pu,atomicweight) does not return a mass like U but mentions it's a radioactive element and the closest is 244

Is that just the way Maple looks at radioactive elements? 

I recently installed the Student Version of Maple 12 on my Intel Mac OSX 10.5.3 and started to work through the Getting Started Guide. All went well until Section 1.7 Step 7: To plot the expression: 7. Right-click the expression and select Plots → 2-D Plot. On selecting Plots → 2-D Plot, only the arrow was displayed but no plot 2x - 9 → I tried many other methods to obtain plots without success. Using Plot Builder, Preview always produced a plot but Plot always only produced the →. Please advise what I might be doing wrong. Regards, Roger

 > Restart;

How can one avoid getting a > at the beginning of each line when pasting in several lines of Maple code taken from some other word processor?  I am sure this has been answered many times, but I cannot find the answer now.

Why can I only get the solution  -(-y + 2 x) ^3  (y + 2 x)  from 2) and not from 1).

I am doing the same thing in both of them but from 1) I get "Warning, solutions may have been lost" when Itry to solve for _F1

I want to go from A-B-C with commands (as in 1) ) without having to retype the expression

1)restart;

Hi all,

In Maple, I am integrating a function involving the "erfc" function,

the final integral result has no explicit form, but should be able to
representted as a "\Phi(.)" function, where the "\Phi(.)" is the Gaussian
distribution function (cumulative).

Is there a way to force the following integral to output in the form of
"\Phi(.)" in Maple?

Thanks

I'm attempting to find where the two peaks are given the following expression.

g(x,y):=(3 x^(2)*y^(2)+4 x^(2)*y+21 x^(2)-4 x*y^(2)-72 x*y-128 x+21 y^(2)+128 y+297)/((x^(2)+2 x+2) (y^(2)-2 y+2) (x^(2)-8 x+17) (y^(2)+8 y-17)):

There are two peaks found by viewing the graph of the expression above.  I've tried using the second derivative test, fsolve with no success. 

This is the command for fsolve i'm trying to use:

fsolve({(D[2](g))(x, y), (D[1](g))(x, y)},{x = -1.5 .. -.5, y = 1.7 .. 1.8})

Bonjour,

J'ai une erreur lorsque j'essaie de résoudre un système d'équation différentielle : "Error, (in DEtools/convertsys) unable to convert to an explicit first-order system" et lorsque je simplifie le système j'ai une erreur : "Error, (in dsolve/numeric/DAE/checkconstraints) the initial conditions do not satisfy the algebraic constraints".

Merci d'avance pour votre aide

Hi

During a longish run (memory usage gets to about 1815M in 583s ) the loop terminates with the error message

" Kernel connection lost

Hi everybody,

I've got a numerically computed 2D free energy profile given by a set of 3D points (x_n,y_n,E(x_n,y_n)). I'd like to obtain a fit to those points given by some sufficiently smooth analytical function E(x,y) and subsequently compute the critical points (i.e. local minima, maxima and saddle points). Does anyone know if there is any specific package to do this in Maple 8 (or higher) or else what is the best strategy to do so? Thanks in advance.

Dear  Maple World members,

 

I have a problem and I do not know how to solve this equation with Maple. If anyone can help me, that will a huge gift for me :)

{ [ dy/d(t) ]  / [ dx/d(t) ] } = e*[  ( a + b* y(t) + c* x(t) + d* x(t)* y(t)+ f *y(t)^2 )  / ( a + b*x(t) + c*y(t) + d* x(t)*y(t) + f* x(t)^2 ) ]

initial conditions :

at   t = 0,   x(0) = Xo, y(0) = Yo

 

Hi, i have the following equation system, for which i  already know the solution.

restart:

s1:=(r1*r2-1/(400000000*c1*c2))*(r1+r2)/((r1+r2)^2+(-1/(20000*c1)-1/(20000*c2))^2)
+(-1/20000/c1*r2-1/20000*r1/c2)*(-1/(20000*c1)-1/(20000*c2))/((r1+r2)^2+
(-1/(20000*c1)-1/(20000*c2))^2) = 611.0987791:

s2:=(-1/40000/c1*r2-1/40000*r1/c2)*(r1+r2)/((r1+r2)^2+(-1/(40000*c1)
-1/(40000*c2))^2)-(r1*r2-1/(1600000000*c1*c2))*(-1/(40000*c1)-
1/(40000*c2))/((r1+r2)^2+(-1/(40000*c1)-1/(40000*c2))^2) = -8334.070796:

In Maple 11, using labeldirections = [horizontal,vertical] was enough to display the y-axis label vertically.

But in the Maple 12 version this no longer changes the label to vertical, it still displays as horizontal and just cuts off the remainder of the label.

Has there been a notation change?  How can I now display the label vertically in the new Maple 12?  Thanks.

How do I put a number, as an example: 987654321 so that all the digits are in a list?  Say I want to pull out the 7th digit, which in this example happens to be 3.  Or let's say I want to find out what the 473rd digit in Pi is.