Items tagged with function

Hi there,

first post. I am a beginner both with Maple and this forum, so please forgive my mistakes. Just here to learn.

I could not successfully use the Maple editor here, so the code goes as plain text, although I also attach the code:

I am trying to simulate the function below for certain values of the parameters, but when executing the loop, Maple prints just R. Can anyone tell me where my error is, please?


f := .25; g := 1; R[0] = 5; R[1] = 4.8; nDays := 30;

lambda1:=(1 - f + sqrt((1 - f) + 4*g*f)*1/2;

lambda2:=(1 - f - sqrt((1 - f) + 4*g*f)*1/2;

       -lambda2*R[0] + R[1]
       lambda1 - lambda2

       lambda2*R[0] - R[1]
      lambda1 - lambda2

R:=n-> k1*lambda1^n + k2*lambda2^n

for n from 2 to nDays
do R:=evalf(subs(n=%,R));

Consider the following two variable funtion:


then we want to draw a contourplot:


My problem is that I want maple to diplay the value of the function "f" relating to each curve on the contour plot!
How can I do this?

Please see the following code.

Hi. It is be good to be with you after 4 years.

I want to ask about Curvefitting for Data. If I have a numerical data and i want to find a function in x and y for these data.



but if restart the program,the menu of Plot Builder is appear,in same function(x^2+y^2+(1/1000000000)*z-25 = 0),why thing like this happen?

when run the order like this, the menu of Plot builder disapper

Thank you in advance for your help

How can I plot a volume (many surfaces) in X,Y, Z axis where X,Y,Z are functions in 4 variables (a,b,c,d), and the domain for the 4 variables are 

-90<=a>=90, -10<=b>=10, -12<=c>=12, -90<=d>=0,


X := proc (a, b, c, d) options operator, arrow; 324.*cos(b)*sin(c)*cos(d)+324.*sin(b)*sin(d)+323.5*cos(b)*sin(c) end procX := proc (a, b, c, d) options operator, arrow; 324.*cos(b)*sin(c)*cos(d)+324.*sin(b)*sin(d)+323.5*cos(b)*sin(c) end proc

Y := proc (a, b, c, d) options operator, arrow; (324*1.*sin(a)*sin(b)*sin(c)+324*1.*cos(a)*cos(c))*cos(d)+(-1)*324.*sin(a)*cos(b)*sin(d)+323.5*sin(a)*sin(b)*sin(c)+323.5*cos(a)*cos(c)-100 end proc

Y := proc (a, b, c, d) options operator, arrow; (324*1.*sin(a)*sin(b)*sin(c)+324*1.*cos(a)*cos(c))*cos(d)+(-1)*324.*sin(a)*cos(b)*sin(d)+323.5*sin(a)*sin(b)*sin(c)+323.5*cos(a)*cos(c)-100 end proc

Z := proc (a, b, c, d) options operator, arrow; (324*cos(a)*sin(b)*sin(c)-324*sin(a)*cos(c))*cos(d)-324*cos(a)*cos(b)*sin(d)+323.5*cos(a)*sin(b)*sin(c)+(-1)*323.5*sin(a)*cos(c)+150 end proc

Z := proc (a, b, c, d) options operator, arrow; (324*cos(a)*sin(b)*sin(c)-324*sin(a)*cos(c))*cos(d)-324*cos(a)*cos(b)*sin(d)+323.5*cos(a)*sin(b)*sin(c)+(-1)*323.5*sin(a)*cos(c)+150 end proc

i want to use dictionary or hashtable in maple

the key are a function, value are a list of things


how to do?

Hi all

I have written the following code in maple to approximate arbitrary functions by hybrid of block-pulse and bernstein functions but it doesn't work properly especially for f(t)=1.0, so what is the matter?



best wishes

Mahmood   Dadkhah

Ph.D Candidate

Applied Mathematics Department

I'm used to Mathcad, and I am very new to Maple. Something I cannot figure out right now is how to define multiple elments of a matrix using a function.

Input Data

Define system dimensions as n:=2;






Minor side note: I originaly had upsilon defined using the syntax "Vector[row](ncomp)", but this was giving me an 'exponentiation' operation error, so I changed it to what it is now (basically a list/array, which I guess has different type definitions that no longer cause the error?).





The Problem I'm Having

Now I just want to define Lambda using a function to define all elements (like I would in Mathcad).

Lambda[i,j]:= (upsilon[j]/upsilon[i]) * exp (-lambda[i,j]/2853);

which gives me an extremely long error message:

Error, invalid input: exp expects its 1st argument, x, to be of type algebraic, but received Matrix(2, 2, {(1, 1) = -0.3504976272e-3, (1, 2) = -.16509955895845776, (2, 1) = -.30975332953088164, (2, 2) = -0.3504976272e-3}, datatype = float[8]

As far as I can tell (keep in mind that this is my very first Maple project) that it doesn't like lambda as a matrix? But shouldn't it just evaluate to the element? and why is (2,2) and (1,1) giving values, because it should intialize to zero, so exp(0) = 1 in these cases??

I tried to simplify further by just trying


but then it just gives me 1, and when I look into Lambda all the elements are now 1 when only the diagnol elements should be 1 (the rest some fractional amount)??

I am at a complete loss. I thought about doing something like For i = 1 to n etc. but then it just looks like coding, which defeats the purpose of trying to make a calculation sheet documenting the procedure...

Any help and/or insights into what I am doing wrong here would be most welcomed :)

P.S. I've just noticed that there is an upload option :/



This maybe a really simple question, I remember this is doable but couldnt find where the answer is.

Say I write a function to sum up all values in the list,


return printf("The sum is %3.3f. ", sum(data[i],i=1..numelems(data)));

end proc;


and I use it like,




How would I print out a more informative string, like this:

"The sum of listA is %3.3f. "

"The sum of listB is %3.3f. "


Use "data", the input, as a string argument.





Hi Maple friends.

If I have a table of values, how can Maple provide the function?

For example:



How can Maple find out the y function with respect to x? 

Thanks in advance.



I'm trying to make a piecewise function that will have period 12. That is, it repeats every 12 units across the x-axis.


I managed to do one cycle successfully with

plot(piecewise(0<=t and t<2, 4,2<=t and t<12,0), t=0..13);

But I'm not sure how to do it periodically. I thought about using modular arithmetic in the conditions and setting up something like

H(t)=piecewise(0<=modp1(f(t),12) and modp1(f(t),12)<2, 4,2<=modp1(f(t),12) and modp1(f(t),12)<12,0);

but this clearly doesn't work.


Some direction or advice would be appreciated. Thanks!


Hi every Body?

I will define the function f(t) in maple,how?

f(t)=1-t for 0<t<10 and t for t>10


I will a write program in maple for plot the function f(x),while asked value n from user at first,then plot function f(x) for each value of n and finally all plots show in one figure only for different value of n,how to do it?



how i can plot the function in terms of different values of n in a figure:







how i can plot the function f(x) in term of 1/x in maple?for example i have the function f(x)=x^2 and x=0..1,now i plot f(x) in term of 1/x.

5 6 7 8 9 10 11 Last Page 7 of 27