Hi all,

 how to calculate this integral:

int(sqrt(a^2+cos(x)),x=0..Pi);

I uploaded this file AnimationTest.mw to the Maple Cloud. One a 3d animation and one just a 3d plot. When I open the file in the Maple Cloud from my browser,  I cannot rotate either plot with the mouse. Is there a way to change the worksheets so rotation from the browser will be possible?

I Could Not Write An If Then Or Ifelse Statement. Please Help Me.

f := unapply(x^2-2, x); a := 1; b := 2; n := 10; Digits := 10;
      2    
x -> x  - 2
                               1
                               2
                               10
                               10
c := evalf(eval((a*f(b)-b*f(a))/(f(b)-f(a))));
                          1.333333333
if  f(c)*f(a)<0 then ;
          "      k:=evalf(eval(|(f(c))/(b-c)|)) and "

                          /(1 + k) a f(b) - b f(a)\
             x[i] := evalf|-----------------------|
                          \  (1 + k) f(b) - f(a)  /
            "     elif f(x[i])*f(a)<0 then b:=x[i]"
                 "     else b:=c and a:=x[i] "
                  "     if f(c)*f(a)>0 then "
                 "      k:=|(f(c))/(b-c)|and "

                          /a f(b) - b f(a) (1 + k)\
             x[i] := evalf|-----------------------|
                          \  f(b) - f(a) (1 + k)  /
            "     elif f(x[i])*f(a)>0 then a:=x[i]"
              "     else a:=c and b:=x[i] end if"

Error, unterminated 'if' statement
     Typesetting:-mambiguous(Typesetting:-mambiguous(

       if fApplyFunction(c)sdotfApplyFunction(a)lt0 then , 

       Typesetting:-merror("unterminated 'if' statement")))

how to solve  Fourier Series on maple ??

Could you tell about manual (book) at maple which tells how to make calculations in quantum field theory (Grassmann algebra, a Lie algebra, producing functional, fermionic determinants) and high-temperature quantum field theory (partition functions, thermodynamic potentials)?

Let us consider

with(Statistics):
X1 := RandomVariable(Normal(0, 1)):
X2 := RandomVariable(Normal(0, 1)):
X3 := RandomVariable(Uniform(0, 1)): 
X4 := RandomVariable(Uniform(0, 1)):
Z := max(X1, X2, X3, X4); CDF(Z, t);

int((1/2)*(_t0*Heaviside(_t0-1)-_t0*Heaviside(_t0)-Heaviside(1-_t0)*Heaviside(-_t0)+Heaviside(-_t0)+Heaviside(1-_t0)-1)*(1+erf((1/2)*_t0*2^(1/2)))*(2^(1/2)*Heaviside(_t0-1)*exp(-(1/2)*_t0^2)*_t0-2^(1/2)*Heaviside(_t0)*exp(-(1/2)*_t0^2)*_t0-2^(1/2)*Heaviside(-_t0)*Heaviside(1-_t0)*exp(-(1/2)*_t0^2)-Pi^(1/2)*undefined*erf((1/2)*_t0*2^(1/2))*Dirac(_t0)-Pi^(1/2)*undefined*erf((1/2)*_t0*2^(1/2))*Dirac(_t0-1)+2^(1/2)*Heaviside(-_t0)*exp(-(1/2)*_t0^2)+2^(1/2)*Heaviside(1-_t0)*exp(-(1/2)*_t0^2)-Pi^(1/2)*undefined*Dirac(_t0)-Pi^(1/2)*undefined*Dirac(_t0-1)+Pi^(1/2)*Heaviside(_t0-1)*erf((1/2)*_t0*2^(1/2))-Pi^(1/2)*Heaviside(_t0)*erf((1/2)*_t0*2^(1/2))-exp(-(1/2)*_t0^2)*2^(1/2)+Pi^(1/2)*Heaviside(_t0-1)-Pi^(1/2)*Heaviside(_t0))/Pi^(1/2), _t0 = -infinity .. t)

whereas Mma 11 produces the correct piecewise expression (see that here screen15.11.16.docx).

Edit. Mma output.

I'm trying to write some simple code to help plot an approximation of a solution to the heat equation. On one set of axes I want to plot the temperature characteristic of a 1-D bar at different temperatures. I am able to do this easily enough, but the code uses a for loop and my core i7 is not being utilized properly. To rectify this I have tried to use threads, but after many hours of playing around I cannot get it to work fully. The first time I run my code I am faced with the error "Error, (in plot) cannot determine if this expression is true or false: not fHwLibraryInitialized".

Then after this I can run my code a few more times and it will produce a graph, but each time the graph will be different, meaning most of them are incorrect. After running my display command several times I am then faced with the error "kernel connection has been lost", and I need to restary. I have never played with threads before and have very little understanding of how it works.

with(Threads);
with(plots);

para := proc (A, B)
return [op(A), op(B)]; 
 end proc;

HeatP := proc (f, g, n, lambda, X, N, M, T)
 local k, u, i, L, a; 
u := proc (x, t) options operator, arrow; sum((int(sin(k*lambda*x)*g, x = 0 .. 1))*exp(-k*lambda*t)*sin(k*lambda*x), k = 1 .. n) end proc;
 L := [];
 if N-X < 3 then for i from X to N do
 L := [op(L), plot(u(x, (i*T-T)/M), x = 0 .. 1)] 
end do; 
return L;
else a := floor((1/2)*(N-X))+X; 
Threads:-Task:-Continue(para, Task = [HeatP, f, g, n, lambda, X, a, M, T], Task = [HeatP, f, g, n, lambda, a+1, N, M, T])
 end if
 end proc;

g := piecewise(x <= 0, 0, 0 < x and x < 1, exp(-2/(1-(x-1/2)^2)), x >= 0, 0);

display(Threads:-Task:-Start(HeatP, 0, g, 5, Pi, 1, 8, 8, 2));

I cannot see where the problem is, but there is obviously at least one. Any help would be appreciated.

What method of worksheet dissemination maximizes the number of recipients and methods of access?

Our students do have access to Maple on campus. However some students beyond our campus do not. Hence I'm trying maximize the number of recipients. This means that the recipient can accesses my worksheet either via tradition computer OSs such as Mac, Linux, Windows, or via tablet / personal computer OSs: iOS or Android. 

For a static worksheet, I've found PDF is the obvious choice. However, I'm writing more modifiable worksheets. The most obvious options I see are:

* MaplePlayer
* MapleCloud
* Maple WWW, by DigiArea Team

In investigating the options, I have found that:
* Maple Player is useful to those who have no access to Maple, but there appears to be no Android/iOS version of it.
* MapleCloud looks very promising since all OSs read the web, but there appears to be no way a person can join a private group via the MapleCloud website. Am I missing or misreading the help?
* Maple WWW, while pretty, appears to be painfully slow on a tablet (at least the examples I looked at).

Thus the initial purpose of this post is to answer the questions I raise, which I view as far more strategic, with more nuances than most questions that appear on this forum. And the second purpose is to initiate more discussion among the users year, particularly from the educational community, about guiding the direction of Maple.

I look forward to your comments and suggestions.

Let us consider 

J := int(x^n/sqrt(1+x^n), x = 0 .. 1) assuming n > 0;

2*(2^(1/2)-hypergeom([1/2, 1/n], [(n+1)/n], -1))/(2+n)

limit(J,n=infinity);
FAIL
MultiSeries:-limit(J,n=infinity);
FAIL

Mma 11 finds the limit is zero. Hope one feels the difference.

how i

Find the length of the curve in interval of x

Im trying to solve 12 equations with 12 variables but I can't solve. Please help and advise me to solve this problem. Iproject3.mw
project3.mw

Hi.

I am trying to set up an surface integral in maple. I have been trying with the Student[VectorCalculus] package.

I have also tried to use the task template for surface integral over a disk but somehow I mess up huge time.

I want the surface to be the wall of a cylindrical form and i want to integrate a disk that is perpendicular to the surface.

I have tried to find help online and in maple help center. If anyone would please take time to explain the syntax of the SurfaceInt command id be happy.

For example should my f be the partial of the surface as it is in the formula? How can i set it up to integrate a circle? I have read at the Student[VectorCalculus][int] help page to get the right synatax but had no luck. Do I for example have to change coors=polar?

and maybe more importantly does that command actually reflect the thing im trying to do? This is the formula for the kind of integral I want:

https://i.gyazo.com/f8604b64bf61a94d82a54c1f80cf6aa5.png

reference :

Question:Quantile function
Posted: Mikhail Drugov 88 

In the reference above, Mikhail has raised a problem concerning the function Statistics:-Quantile.
A problem of the same kind exists for the function Mode.

In fact  Mode returns the value of the mode only for unimodal distributions ; but for "bimodal" distributions it does not work properly.
Theoritically the mode is the value where the PDF reaches its maximum maximorum. Except in very particular cases this maximum is unique, even if common language speaks of "bimodal distributions" instead of "two bumped distributions".

Here is an example of a two bumped distribution (Z) obtained by mixing two gaussians distributions.
It has two bumps (z=-1, z=2) but only one mode (z=-2).
It could be hopefully acceptable that Mode returns the {-2, 2} (even if only -2 is the true mode), but Mode returns also the value of z that minimizes PDF(Z, z), which is not correct at all.


 

Download ProblemWithMode.mw

Hi, I have a big system with 27 polynomial equations in 16 unknowns: f_1=...=f_27=0.  I can store these equations but I cannot calculate a Grobner basis of the ideal  J generated by my polynomials (allocation problem) - I use the library "with(FGb)"-  What interests me is whether my system is minimal in the following sense.

If, for example,  I remove f_1, is the ideal generated by (f_2,...f_27)  J again ? That is to say, is f_1 in the ideal generated by f_2,...,f_27 ? I would like to get an answer "yes" or "no" for each removed  f_i.

My question: can we solve the problem above  without calculating a Grobner basis of J?

Thanks in advance.

I'm trying solve a problem with NLPSolve using procedures like constraints, but it say: Error, (in Optimization: -NLPSolve) constraints must be specified as a set or list of procedures. Theses constraints are inequality and equality.  How i can get procedures as a list or set?. Is there anyone to give a example of it?. Thanks!