I've had considerable difficulty in integrating products of trig functions with Maple. It usually expands the trig functions into forms that just are a mess to deal with. So, I usually handle this by splitting an expression into two parts: a constant term that doesn't depend upon the integration variable and a dependent term. In the past, I've usually done this by hand but have now created a procedure to do this automatically.

Here's an example procedure that I need help with in order to figure out how it produces certain cases of it's output. First, in the case when the argument n is negative does the procedure call itself again in the denominator of the fraction and return the value of the last line of the procedure (inside the inner call to itself)? I also assumed that the special identifier procname was not in unevaluation quotes in order to allow evaluation. Next, I also don't understand how the output for cases when the exponent n is even is produced. What's really confusing is the use of the anonymous mapping (x -> x.x), and also the meaning of the entire expression after the word then. Is that a multiplication of the two expressions in parentheses ? i.e. (x -> x.x)(procname(X, n/2) > Pow := proc(X, n::integer) if n <> x.x)(procname(X, n/2)) else X.procname(X, n-1) end if end:

Hi! i want to know the length of sin(x) from a to b. This function sqrt(1+cos(x)^2) >= 1 int(f,x) must be > 1 So...try to do it,plot, and see what happen. is correct?

Hello, I am trying to analyze the numeric solution to the following equations - now what I want to do is a little different, I want to plot u_(n)(some number) as a function of n. This would show me the progression through the particles/distance rather than with respect to time. Here is the code: > with(DEtools): > n:=5: #(n can be as large as 500..) > > sys:=[seq(diff(u||i(t),t$2)=exp(u||(i+1)(t)-u||i(t))-exp(u||(i)(t)-u||(i-1)(t)),i=2..n-1)]: > eqn1:=diff(u||1(t),t$2)=exp(u||(2)(t)-u||1(t))-exp(u||(1)(t)-u||(n)(t)): > eqnn:=diff(u||n(t),t$2)=exp(u||(1)(t)-u||n(t))-exp(u||(n)(t)-u||(n-1)(t)):

Hi Hope anyone can help. When using this syntax in Maple 10: >restart:_EnvAllSolutions:=true: f:=(x,y)->x^3*y-2*x^2*y+x*y^3; GRAD:=[diff(f(x,y),x),diff(f(x,y),y)]; STATS:=solve(GRAD,[x,y]); I get the following output: 3 2 3 f := (x, y) -> x y - 2 x y + x y 2 3 3 2 2 GRAD := [3 x y - 4 x y + y , x - 2 x + 3 x y ] STATS := [[x = 2, y = 0], [x = 0, y = 0], [x = 0, y = 0], 2 [x = 5/4, y = 1/4 RootOf(_Z - 5, label = _L2)]]

Hello, I have tried to run the Maple 10 program on my Toshiba Tecra M4 TabletPC and it runs fine until I go to Tablet Mode. The only part of the program that will run in Tablet mode is the Classic Worksheet. The symptoms are that the windows that appear in say the documentation mode (in Tablet Mode) come up but are solid gray. The program seems to hang. Now what I mean by "Tablet Mode" is that you flip the touchscreen around and lock it on top of the keyboard. This cause the display to go from a horizontal presentation to a vertical sheet of paper presentation. Regards, Dave

Hi, How to make surface plot from elements stored in matrix of form [x,y,z]? Let's suppose I have the following matrix: >A:=matrix([[1.00, 1.00, 167.76], [1.00, 2.00, 95.588], [2.00, 1.00, 500.64], [2.00, 2.00, 335.51]]); The first argument from the lists is value for X axis, the second argument is value for Y axis and the third argument is value for Z axis. For example: x=1, y=1, z=167.76 x=1, y=2, z=95.588 x=2, y=1, z=500.64 x=2, y=2, z=335.51 How to make such plot in 3D?

Is Maple 10's logical system called a three valued one simply because of the value FAIL, in addition to the truth values true and false ?

I've already bothered two other forums with this (retarded?) question, but I'm not getting any answers. So I'm bothering you now. I apologize. I tried to search but didn't find anything. The problem is I'm not able to type ^ or input superscripts in Maple 10.02. I'm using FVWM2, but the problem occurs in KDE, too. Maple clearly gets some input, but is it not visible, and it doesn't have the same effects as a caret does. Maple displays letters with carets like ô fine, but not the caret alone, nor does Maple indicate I'm writing a superscript. And I can type anything, but the first character after inputting a caret doesn't get shown, and I get no superscripts. For example, typing "x^22" is "x2" on the screen. While Maple clearly indicates that I'm about to write a subscript if I've entered an underscore.

Does anyone know how to display "infinity symbol" in Label element in Maplet?

Hi, I am trying to do define a matrix of differential operators for e.g |diff((),x) , 0 | | 0 , diff((),y)| |diff((),y) , 0 | | 0 , diff((),x)| once this 4x2 operator is defined i can apply it to any function of two variables f(x,y) or a compatible(in size) matrix of such functions. How can I define such an operator in maple? Thanks, saurabh

Hi Maple'primes. I have a question that I am sure has been posted many times but I will do again. I am using Maple 10 and I am trying to sweep over a parameter space with a for loop. At each iteration of the loop I am performing a complex calculation : double/triple integral or solving a boundary value problem. If I compute the compuation as a stand alone execution then it take ~ 30 sec, however, when I loop through 200 iterations the loop never finishes and Maple tells me I am out of memory. When I look at the memory (bottom right hand corner) it keep increasing to crazy levels (Gigs) during the loop, when each computaion should be about 20M. It seems like Maple keeps track of all the old computations when I clearly don't want it to. How can I speed this up?

Hi, I have a matrix containing data read from an external file. I would like the user to select a colon number using a List box and, based on this number, build the resulting vector from the matrix. Is it possible to ask Maple to evaluate some parts (execution groups?) of a worksheet with some command (not menus)? Thanks.

How do I generate a datafile (ascii-type) for the following general case: y1:=f1(x); y2:=f2(x); ... ym:=fm(x); so that the first column will contain selected values of x from x0 to xN, the second column will contain the corresponding f1(x0..xN), the third f2(x0..xN) etc.? Thanks, Miran

I try to calculate a numberical integration in 2 layer for loops(outer 21 times, inner 128 times): evalf(int(erfc(sqrt(B*xgms1*x/(x*xgmi1+xgmn1)))/gamav*exp(-1*x/gamav),x=0..infinity)), i.e., the kenerl is erfc(ax/(cx+d))×exp(-ax). But when "gamav" > 100000, the calculation time is too long to bear. So I try to do some approximation and change the upper bound into 10*gamav, 30*gamav, 50*gamav and 100*gamav. But I got the following results: BER1a1[18]=0.0001004773804, BER1a2[18]=0.0000365034983, BER1a3[18]=0.0000000096250, BER1a4[18]=0.0000000000001. The trend of results is bigger the upper bound smaller the results. Obviously, the results is wrong. When "gamav" is a smaller number, such as 1000, the four integration results is the same as when the upper bound is "infinity".