I'm doin a problem on the restricted 3 body problem...What i want is to creat a proc "equilibria(mu)" which finds all five equilibria of (DE) when mu_1=mu and displays, in a neat table, the (x,y)-position of each equilibrium and the eigenvalues of the vector field's Jacobian at that equilibrium. In addition, the table should indicate if the equilibrium is hyperbolic (all eigenvalues are real and non-zero), elliptic (all eigenvalues are imaginary and non-zero), hyperbolic-elliptic (a mixture of non-zero real and imaginary eigenvalues), or otherwise..
Now the difficulty is this, i can find the equ's and get the evalues, but i have a proble with gettin them into a table...i've been told that prinf is a good one to use, but i have no idea at which bit to use it..this is how far i've got
Hi guys ;)
I have a question. Is it possible to apply a PID controller with the following parameters(P=6,I=4,D=0.02)to a Non Linear System described with the differentiate
equation like this
or in the second form, as two differentiate equations like
dx1 := (x1,x2) ->x2;
dx2 := (x1,x2) ->((u*ki)^2*kc)/(mk*(x1-x10)^2)-g*mk/mk-kfv*x2/mk;
without linearisation in operating point, where u - is input variable, x - position,
dx/dt - velocity, d^2x/dt - acceleration ?
Thanks for your help.
I need to generate pimitive polynomials of degree 17 over GF(2^32) for use in an LFSR working over 32-bit words.
Does anyone know how it can be done?
I try to deduce distribution fonction from a parametrized set of points with Maple.
At this stage I have a dataset define through a relationship like y=f(x), and I want to obtain the distribution of y points, given that x in [-A,A]. The theoretic formula is : F[Y](z) = P(y<z).
i.e. F[Y](z) = Int(delta[f(x)< z],x=-A..A);
and I use the piecewise Maple function to implement it ( Int(piecewise(f(x)< z,1,0),x=-A..A) ), but for Maple :
Int(piecewise(f(x)< z,1,0),x=-A..A) = piecewise(Int(f(x)< z, x=-A..A),1,0))
which is totally different !
If I have f:=x^2+1000*y: and under contraint g:=1000-x-y: how Do i find this Min or max with the hessian Bordered style ..... I allready know how to do the Lagrange version but this hessien ... im out .. and if it's the same ( because it's gona give me the same answer as if I do it with the !!!!!! Student:-MultivariateCalculus:-LagrangeMultipliers(f,[g],[x,y]); !!!! ) Thanks very urgent ! ( Im using Maple 9,5 if that makes a diff) Tx Jp
Hi, I have been having problems using the three !!! button which calculates a whole spreadsheet. When it runs I have found that one of the lines in some of the sub routines doesn't always calculate. The line is a Spline interpolation function. If someone could help with this that would be great.
Is there a straightforward procedure to have a radical appear on the plot of a function? E.g, how can one display (2, sqrt(2)) in the plot but with the actual square-root symbol appearing. I've read in the knowledge base about the use of textplot. However, the routine is limited to exponents.
This is a program discribing the dynamic behavior of a N pendelum system. When I tried to comparae the result of different initial conditions, I found that every time i run it, the graph will be different.
I know that double pendelum system is a typical chaotic system, is this the reason why i have different result for each time?
Here I attach the file, but plz rename it to ***.mws file before run, b/c i wrote it in maple classic worksheet.
with(SolveTools):with( plots ): with( plottools ):
with( DEtools ): with( PDEtools ):
#initialization function of each beam,in this function, we should give 3 variables, n=the number of this #beam, la=the length of this beam, ma=the mass of this beam,q=the initial angle of the beam,and qt=the initial angle velocity of the beam
l[n]:=la: #length of beam n
m[n]:=ma: #mass of beam n
#initialize the positions of each beam
x[n]:=0: #the x position of the end point of each beam
y[n]:=0: #the x position of the end point of each beam
x[n]:=0: #the y position of the center point of each beam
y[n]:=0: #the y position of the center point of each beam
#define the forces that applied on the end of beam n
has someone a sheet about percolation theory ?
I put a very simple one on my blog:
I can pointplot a single curve if I select a single element from the list below. Is it possible to use all the elements of the list and plot several curves on the same graph?
If I have the X and Y variable all done up and I am trying to find a way to figure out if their is a way to make up a quadratic equation with maple. and can maple find the inflextion point of this curve ? Any help would be appreciated. Thanks Jp
I have a procedure that will run fine in Maple 8 but gives an error when it is run in Maple 9.5. The error is a "cannot solve error". Are there any known issues that may lead to this type of problem? Thanks.
Is there a way to do a Symbolic Computations under Max-Plus Algebra? For instance, linear algebra computations under under Max-Plus Algebra. I would like to appreciate any comments on it.
I need to search for primitive polynomials of degree n over finite fields GF(q), where q is a PRIME POWER. I have major difficulties doing that, especially when I wish to fix one of the coefficients of the polynomial. On the other hand, polynomials over GF(p) pose no problem. Does anybody have any experience in this? PLEASE HELP!
Hi, guys could you please let me know how I can find this definite integral through Maple? int(exp(-I*x)/cosh(x)^3,x=-infinity..infinity); or int(exp(-I*x)/cosh(x)^2,x=-infinity..infinity); thanks a lot Sayed