I wonder if anyone knows of any maple code to generate polynomials with algebraic constants.
eg an order 1 poly would be: a+b*x,
order 2: a+b*x+c*x^2,
order 3: a+b*x+c*x^2+d*x^3, ...... etc
what i'm looking for is a procedure where i input the order, eg 3, and it spits out a+b*x+c*x^2+d*x^3
thanks in advance
None of the built-in features of Maple will help me numerically solve the kinds of complicated differential equations I want. I was hoping that Maple's option in dsolve
of solving by Taylor series would at least grind out the first nine terms of the Taylor
series expansion of the solution y(x) of
e.g. x^3 + (y'(x) - 9*x)^(5/(y(x)+2)) + 4*(x-y(x))^(y'(6*x+4)) = 0
subject to y(1)=0.
I dumped in functional equations, too, to see if Maple could handle it.
Ok. So, for something like this, R(x,y(x),y'(x),y'(6x+4))=0
Maple should be at least able to do the first 9 differentiations to express
My expression is exp(mu*t), and 'mu' is a complex number.
I am having difficulty getting Maple to find the optimal solution over a specified range. That is, I want to limit the possible range of my maximizers. For my problem I am maximizing the expression "payoff" with respect to p and s and want to tell Maple to search for all solutions where s<pa.
I have the following expression for variable x
where x is an input to the function payoff that I wish to maximize:
payoff:=p*x + s*subs(Q=x,y) + m*(1-subs(Q=x,y)));
Now, defining the FOC of payoff as
A colleague just asked me what Maple would do if asked to solve an equation in which the right hand side is infinity. I didn't really know what it would do, so we did some tests:
f := (x-1)/expand((x-1)*(x+1)*(x-2)):
solve( f=infinity, x );
solve( 1/f=0, x );
solve( denom(f)=0, x );
1, 2, -1
I could not explain the response to the first solve command. Can you?
Thanks in advance,
I am very new to using Maple, so I must apologize for my ignorance in advance.
I basically have 2 questions,
1) How do I force the use of a preferred unit that may not be the default for a particular unit system. For example, I prefer cm for length and keV for energy. I would like these to always be assumed by Maple.
2) How can I use a unit that does not appear to be part of any unit system, such as "neutrons". I would like to enter values such as 1E8 [neutrons/cm^2] . . . etc. How does one do this in Maple.
I appreciate your input.
In maple 11 I have defined:
f := x -> e^(-x)*sin(x);
then I have tried to get maple to draw the above mentioned:
What happens is that I see a the coordinat-system but with no drawings in it.
Can anybody help me?
I need help. A homework problem superimposes a graph atop a DE. What am I doing wrong:
plot1 := phaseportrait(eqn,y(x), x=-0.25..0.25,
[[y(-1/2)=2],[y(3/2)=0]],titlefont=[TIMES,ROMAN,18],title=`Sec 2.1 #17`,
plot2 := (1/2)*x^2:
Error, (in DEtools/phaseportrait) the 'number' option must be specified before initial conditions
Error, (in plots:-display) expecting plot structures but received: [plot1, (1/2)*x^2]
Fourier transform of a non-integrable function ...
I am working on Fourier Transform of a non-integrable function. And I am working on the numerical implementation of the FT, using FFT.
Let's call this function F(v). One example is F(v)=-1/(5*i*v)*(1-exp(5*i*v))
The function has a 1/v term in its asymptotic expansion, which corresponds to a jump or Heaviside function in its transform.
Using FFT, I can see the jump, with some overshooting after the jump and undershooting before the jump, along with some ripples.
I want to reduce these artifacts as much as possible, because I am going to integrate this transform against other functions later. Hence obtaining a smooth function without much numerical artifacts is vital. How do I do that?
How do I plot a vector-valued function with maple11?
I am a new user, so if you could explain to me step by step that would be helpful.
I am wanting to have maple11 convert a point, example(x,y,z), from one system to another among the rectangular, cylindrical, spherical coordinate systems. does anyone know how to do this. I am a new user of maple, so please explain step by step or show an example. Thanks
I had the pleasure of visiting Oxford while on vacation in England. I regret that I did not get a chance to visit the NAG headquarters there, but that thought gave me the idea for this next blog entry.
The Optimization package for local optimization uses as its underlying engine the NAG E04 optimization suite. It is possible to use the Optimization package without knowing the internal workings of the commands. However, for those of you who are interested in such details, it is possible to get more information.
If you set infolevel[Optimization] to 2 or higher, the names of the NAG routines (e.g. E04UCA) are displayed. It is useful to set the infolevel value in any case, as the messages provide valuable information about how the computation is proceeding.
I saw a function in Maple that would take a fraction like 77/45 and come up with a simpler version that was close to that value. In this case 9/5. Now I can't remember what that function was called and where to find it.
Anybody seen this?
The command root(f(x),x, K) to compute roots of a univariate polynomial f(x),
(let f(x) have integer coefficients), will not return an answer unless *I* do the WORK
FIRST of FINDING THE ROOT to determine over WHICH FIELD (algebraic field, if it's algebraic)
some of the roots of f(x) lie.
The help manual demonstrates this with simple quadratics only. One writes the radical part
of the quadratic solution for K, i.e.
Mathematica had the complete Cardano formulae programmed in for both the cubic and the quartic polynomials with completely indeterminate coefficients.