Items tagged with variable


HI experts,


Is there a Last name associated with a double 'hailstone problem' with variable integer coefficients?

Just curious.




I am building an algebra 1 course for my school, and was wanting to create simple randomly generating practice sets for graphing points / lines / etc.

However, the Sketch answer type doesn't allow for any variable input like the other questions do. Is there a work around? 

Presuming a randomly generated $x and $y, is there any way to check to see if a student has plotted the point ($x, $y)?

How can I produce the same output with something like alphadeg := alpharad * 180/Pi?

T := proc (p, q, R) alpharad = evalf[5](arccos((1/2)*(p^2+R^2-q^2)/(p*R))), alphadeg = 180*evalf[5](arccos((1/2)*(p^2+R^2-q^2)/(p*R)))/Pi end proc;
T(3, 4, 3.75);
           alpharad = 1.2515, alphadeg = 71.70566805

When I try alphadeg = alpharad * 180/Pi I get
Error, illegal use of an object as a name

Thanks! Les

Hi There:

i have big expressions with many variables of the form (say)  Q__T(t). I would like to simplify my visual parsing of them.

I was wondering if there is a way to tell maple to print particular symbols/variables in specific colors (something akin to what the Physics package does). I.e. I would imagine saying something like:

setup_print_color(Q__T(t), "red");

and then every time Q__T(t) would come up, it would be printed in my desired color.

is this easily possible? I've looked through docs and this site, but can't find any info.





To summarize, I have a variable ε = order(1),  which maple has assumed is a funtion ε(x,y,z) and so when I differentiate epsilon with respect to x (or y or z) I do not get 0. I get ε(or εy, εz). How do I ensure maple does not assume this?

More detail of my process:

I declare functions,

I have the function I want to transform,

Now I transform the variables to the new co-ordinate system. i.e. from (x,n,q) to (s,Y,z)


Good! - Everything correct so far. 

Now I want to linearise so i introduce x=x0+ε*x1; and the same for (Y,z), 


As you can see, epsilon has derivatives, which it should not. 

How I can avoid this? 

Thanks in advance - im well and truely stumped over this.

P.s. if the images do not show, the script can be found here: 

Already searched and browsed multiple different threads and still cannot find a solution.

Apologizing the noob nature of this question.



In this code below, Why is the factor command not working?

f := a^2+x^2-2*ax;














Does anyone know what the default function is for the pre-subscript and pre-superscript?  I would like to use them for a variable name to represent the local reference frame and global reference frame in my multibody calculations.  Thanks

Hello people in mapleprimes,

I have a question:
What are you doing when you use maple in calculating, for example, your paper,
to avoid missing, for example, variables you use, or for your needs to look back the outcomes you obtained before?
If this is a paper-using work, on considering what to do next, you will read some pieces of papers you wrote and
on which you had calculated and obtained necessary equations. But, with small monitor 13 inch, and with
inconvenience of dealing with things in PC, compared with papers, I feel some stress in using maple in writing a paper.
So, now, I am asking you what kind of methods you has devised to make what you are writing compact and easy,
for you to handle with what you are writing.

I know surely that there are the document block, which enables output or input to not be shown, the workbook,
which is helpful in putting attached worksheets or jpg files together at one workbook, and the distinction of ":" and ";",
which in the case of the former, hides expressions in the outcome.

But, yet, I want to ask you about the ways you use to make it easy to write something.
If you have some, I will be very glad if you show it here.

Best wishes.









In some trigonometric equations, I have variables depending of time like Psi(t). I don't why after some manipulation my variable is transformed in :-Psi(t).

Have some ideas why some variables can be change with :- before ?

Here an example

It may come because of the code "Local Psi". I added this because it seemed to me that Psi was protected. Do I right? If not can I remove Local Psi?

Thanks a lot for your help


It might be very silly question, but i dont know why it is not working out. So here is the question. In the attached maple shhet when i am trying to substitute eta(t)=epsilon*z(t) then it is not making that susbtitution for differential operator. Apart from that when i m collecting epsilon terms then also it not collecting





My teacher (im studing Technology Management and Marine engineering) only allow that we use maple if we display the results between calculations. Is that posible:


a := 4;

b := 5;

Instead of :


I want it displayed as:

a+b= 4+5= 9;

or just

4+5 = 9; where a and b are Automatically replaced with the respective values, when i run the !!! button


A lot of my calculations are done by defining the variables in the top. 

Any ideas??


Thanks in advance.


Best regards  Carsten Moller





I am using algorithmic variables to generate questions about the greatest common divisor of two integers.

Unforuntately the integers come out as 1,664 instead of simply 1664 (for example). How can I change the format to the simple version ?

Thanks for your help!


Dear all

I have problem related to collection of coefficient of differtials in differential expression containing multiple dependent variables and we want to collect coefficient wrt to selected dependent variables. Please see attached Maple file for details.



DepVars := [u(x, t), v(x, t), a[1](t), a[2](t), a[3](t), b[1](t), b[2](t), b[3](t), r(x, t), s[1](x, t), p[1](x, t), s[2](x, t), p[2](x, t)]

[u(x, t), v(x, t), a[1](t), a[2](t), a[3](t), b[1](t), b[2](t), b[3](t), r(x, t), s[1](x, t), p[1](x, t), s[2](x, t), p[2](x, t)]


alias(u = u(x, t), v = v(x, t), a[1] = a[1](t), a[2] = a[2](t), a[3] = a[3](t), b[1] = b[1](t), b[2] = b[2](t), b[3] = b[3](t), r = r(x, t), s[1] = s[1](x, t), p[1] = p[1](x, t), s[2] = s[2](x, t), p[2] = p[2](x, t))

u, v, a[1], a[2], a[3], b[1], b[2], b[3], r, s[1], p[1], s[2], p[2]


Suppose we differential expression like:

a[1]*(diff(u, x))*s[1]*u-2*a[1]*u*(diff(r, x))*(diff(u, x))+2*a[2]*(diff(v, x))*s[2]*v-2*a[2]*v*(diff(r, x))*(diff(v, x))-(diff(a[3], t))*r*(diff(u, x))/a[3]+diff(p[1], t)+a[3]*(diff(p[1], x, x, x))+(diff(r, t))*(diff(u, x))+(diff(s[1], t))*u-(diff(a[3], t))*s[1]*u/a[3]-s[1]*a[2]*v*(diff(v, x))-(diff(a[3], t))*a[1]*u*(diff(u, x))/a[3]-(diff(a[3], t))*a[2]*v*(diff(v, x))/a[3]-3*(diff(r, x))*p[1]+(diff(a[1], t))*u*(diff(u, x))+(diff(a[2], t))*v*(diff(v, x))+a[2]*(diff(v, x))*p[2]+a[2]*v^2*(diff(s[2], x))+a[2]*v*(diff(p[2], x))+a[1]*u*(diff(p[1], x))+a[1]*(diff(u, x))*p[1]+a[1]*u^2*(diff(s[1], x))+3*a[3]*(diff(s[1], x))*(diff(u, x, x))+3*a[3]*(diff(s[1], x, x))*(diff(u, x))+a[3]*(diff(r, x, x, x))*(diff(u, x))-(diff(a[3], t))*p[1]/a[3]-3*r*(diff(r, x))*(diff(u, x))-3*(diff(r, x))*s[1]*u+a[3]*(diff(s[1], x, x, x))*u+3*a[3]*(diff(r, x, x))*(diff(u, x, x)) = 0

3*a[3]*(diff(diff(r, x), x))*(diff(diff(u, x), x))+3*a[3]*(diff(s[1], x))*(diff(diff(u, x), x))+3*a[3]*(diff(diff(s[1], x), x))*(diff(u, x))+a[3]*(diff(diff(diff(r, x), x), x))*(diff(u, x))+a[3]*(diff(diff(diff(s[1], x), x), x))*u+diff(p[1], t)+(diff(r, t))*(diff(u, x))+(diff(s[1], t))*u-3*(diff(r, x))*p[1]+a[3]*(diff(diff(diff(p[1], x), x), x))-(diff(a[3], t))*a[1]*u*(diff(u, x))/a[3]-(diff(a[3], t))*a[2]*v*(diff(v, x))/a[3]+a[1]*(diff(u, x))*s[1]*u-2*a[1]*u*(diff(r, x))*(diff(u, x))+2*a[2]*(diff(v, x))*s[2]*v-2*a[2]*v*(diff(r, x))*(diff(v, x))-(diff(a[3], t))*r*(diff(u, x))/a[3]-(diff(a[3], t))*s[1]*u/a[3]-s[1]*a[2]*v*(diff(v, x))+(diff(a[1], t))*u*(diff(u, x))+a[1]*u*(diff(p[1], x))+a[2]*v*(diff(p[2], x))+a[2]*v^2*(diff(s[2], x))+a[2]*(diff(v, x))*p[2]+a[1]*(diff(u, x))*p[1]+a[1]*u^2*(diff(s[1], x))-(diff(a[3], t))*p[1]/a[3]-3*r*(diff(r, x))*(diff(u, x))-3*(diff(r, x))*s[1]*u+(diff(a[2], t))*v*(diff(v, x)) = 0


We can collect coefficients of differential like u[x], u[x, x], v[x], u, vin following manner:

The Procedure




Now how can we collect coefficents with respect to u[x], u[x, x], v[x], u, vso that differential expression (3) appear as
"(......)*u+(.......)*v+(......)*u[x]+(........)*uu[x]+(.........)vv[x]+(........)u[xx]  =0....................."????????""




I have written the following coade in Maple:
r := 50;
l1 := 0.2742e-10;
s := I*w;
l := (-1.342110665*10^22*c^2*(Pi^4)-4.225000000*10^25*c^2*(Pi^2)+2.316990000*10^11*c1*(Pi^2)-1)/(-1.342110665*10^22*c^2*c1*(Pi^4)-7.140250000*10^43*c^2*c1*r^2*(Pi^4)+1.957856550*10^33*c^2*(Pi^4)+9.789282750*10^32*c*c1*(Pi^4)-1.690000*10^22*c*(Pi^2)-4.22500*10^21*c1*(Pi^2));
z1 := (c*l1*s^2+1)/(c*s);
z2 := l*s/(c1*l*s^2+1);
h := (z1+2*z2)*((z1+2*r)*(z1+3*z2)/(2*r)-2*z2)/z2-(1/2)*z2*(z1+2*r)*r;
f := h*(z1+3*z2)/z2-(z1+2*r)(2*r)*(z1+3*z2)+2*z2;
gain := 2*z2/f;
a := abs(gain);
d := diff(a, w);
s := subs(w = 2*pi*0.325e11, d)
Now, I have a function named "s" which I want to set to zero, and calculate the relationship between variables c & c1 in order to achieve this. How should it be done?

Hi, does anyone know how to choose the variables that populate the DAE Variables box when you use "equation extraction"?

I want the result to be in terms of the voltage source and the voltage drop across the capacitor for a RLC circuit.  I want to be able to choose the input-output variables for the final equation.



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