Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

I'm using Maple Player 2105, Maple 18 and exploring using Maple/MapleNet/MaplePlayer for education. 

Is the following correct? In order for a my students to access a Maplet, they would need a full version of Maple installed on their system (Maple Player would not be enough) I couldnt get Maplets to work with Maple Player, but maybe that's just me.

(I do not have the $ at the moment to go the MapleNet route)

Thanks for your help,

 

Greg 

I'm using Maple Player 2105, Maple 18 and exploring using Maple/MapleNet/MaplePlayer for education. 

Is the following correct? In order for a my students to access a Maplet, they would need a full version of Maple installed on their system (Maple Player would not be enough) I couldnt get Maplets to work with Maple Player, but maybe that's just me.

(I do not have the $ at the moment to go the MapleNet route)

Thanks for your help,

 

Greg 

Hi all,

 

I want to create a (set of) samples from an own distribution. The distribution itself is a normal distribution, but with some 'gaps', as shown below:

plot(exp(-(t-10)^2/(2*(0.5e-1*10)^2))*piecewise(t<9,0,t<9.9,1, t<10.1,0, t<11,1), t = 8.5 .. 11.5)

(It is supposed to represent the distribution of discrete resistor values (e.g. 10 ohms), where not only the values above the tolerance (e.g. 10%) are removed, but also those who can be sold as higher precision resistors (eg. 1%). The mean, lower tolerance and higher tolerance should be variables).

Because of the fact that in order to be able to use the Sample function, the PDF should be twice differentiable, the 'truncation' in the middle is realised using logistic functions.

I am able to create said distribution, and produce a DensityPlot, but when I try to take a (even a single) Sample from a RandomVariable from that distribution, Maple keeps calculating and no sample is produced.

GetDist := (mu, alpha, beta) -> Distribution(PDF = unapply(LotRPDF(t, mu, alpha, beta), t)):
T := GetDist(10, .1, 0.1e-1);
DensityPlot(T);
RandomR := RandomVariable(T):
Sample(RandomR, 1);

Where LotRPDF is the function depicted above, mu is the mean (10), alpha is the maximum tolerance (10%), , beta is the minimum tolerance (1%)

Am i overlooking something simple? Or is there a more fundamental error in my approach? I've added the maple sheet with more details.

RandomVariableSample.mw

 

hi

I am trying to construct a series of 10X10 matrices whose main diagonal contains exactly k ones and other entries zero.

 

plz suggest thanks

Hi

I am trying to approximate a function in terms of piece-wise constant function:

 

$$f(x) = \sum_0^N c_iB_i(x)$$

 

what modules/packages of maple are helpful here? thanks

how to calculate the shorting routing path in cayley graph?

i search that it is related with knuth bendix

hello everyone. I have an undergradute project i'm currently working on and I'm stuck where I have to use the Differential Transforms Method to solve a problem with boundary conditions at infinity


restart;

Digits := 5;

F[0] := 0; F[1] := 0; F[2] := (1/2)*A; T[0] := 1; T[1] := B; M := 2; S := 1;

for k from 0 to 10 do F[k+3] := (2*(sum((r+1)*F[r+1]*(k+1-r)*F[k+1-r], r = 0 .. k))-T[k]-3*(sum((k+1-r)*(k+2-r)*F[r]*F[k+2-r], r = 0 .. k))-M*(k+1)*F[k+1])*factorial(k)/factorial(k+3);

T[k+2] := (-3*(sum((k+1-r)*F[r]*T[k+1-r], r = 0 .. k))-S*T[k])*factorial(k)/factorial(k+2)

end do; f := 0; t := 0;

for k from 0 to 10 do

f := f+F[k]*x^k;

t := t+T[k]*x^k end do;

print(f);
print(t);

but the problem is that i cant seem to evaluate

or higer diagonal pade-approximant. any help will be greatly appreciated. thank you.

@Markiyan Hirnyk   I try not to use this package, as I think the results are not reliable enough. Here is the example, where instead of the three real roots it finds only one, despite the hint to look for the three roots:

restart;

DirectSearch:-SolveEquations(100^x=x^100, AllSolutions, solutions=3);

 

There are many other examples, particularly in discrete optimization in which it returns false results. Here is one example (well-known to you).

Hello, i am recently doing a lot of my (really simple) equation manipulations with Maple and would like to include an expectation operator E( ) in my symbolic equations. As maple threads E() as a function, differentiating is not very convenient, as i have to replace all D(E) ... manually. I tried defining some properties of E() via the define() function, but when trying to set the behavior of d E(f(x))/dx I am not sure how to use (diff()=result) in the define() function. Any help or ideas are greatly appreciated!

How can I solve this equation 18 *9^(x^2 + 2* x) + 768* 4^((x + 3)* (x - 1)) - 5 *6 ^((x + 1)^2)?

I tried

restart:

A:=18 *9^(x^2 + 2* x) + 768* 4^((x + 3)* (x - 1)) - 5 *6 ^((x + 1)^2);
solve(A=0);

I see that, the equation has three solutions: x = -2, x = -1 and x = 0. I check

f:=x->18 *9^(x^2 + 2* x) + 768* 4^((x + 3)* (x - 1)) - 5 *6 ^((x + 1)^2);

f(-2);

f(-1);

f(0);

Another question, Maple can not solve inequality 

18 *9^(x^2 + 2* x) + 768* 4^((x + 3)* (x - 1)) - 5 *6 ^((x + 1)^2) > = 0.

PS. We can easy to solve the above inequality with Mathematica

Reduce[18 9^(x^2 + 2 x ) + 768 4^((x + 3) (x - 1)) - 5 6 ^((x + 1)^2) >= 0 , x, Reals]

I got x <= -2 || x == -1 || x >= 0

 

 

Hi all,

Please help in writing finite difference algorithm for a nonlinear PDE using Maple.

for a[j], b[j] known at time n, I want to compute A[j]  for a[j] at time n+1 according to the equation below

EQs:=A[j]-theta*tau*(A[j-1]-2*A[j]+A[j+1])=a[j]+sqrt(a[j])*b[j]*h^2/tau+(1-theta)*tau*(a[j-1]-2*a[j]+a[j+1]) ;

Thanks in advance.

Dear I want to define a general operator D for Fractional derivative whose behave like this

 

(D^alpha)(t^beta) = GAMMA(1+beta)*t^(beta-alpha)/GAMMA(1+beta-alpha)

guys, i have this equation which a, n, c, phi[0] are parameters and r is variable. maple solved this equation with n=0,c=c,phi[0]=5/4-1/4 c but i obtained another solution for this equation : a = 1, c = 5, n = 1, phi[0] = 1 ( you can check). 

 

restart

odesys := {5*r^a+4*n-c*r^n-4*phi[0]}

{5*r^a+4*n-c*r^n-4*phi[0]}

(1)

res := op(odesys);

5*r^a+4*n-c*r^n-4*phi[0]

(2)

 

SOL := solve(identity(res = 0, r), [a, n, c, phi[0]]);

[[a = 0, n = 0, c = c, phi[0] = 5/4-(1/4)*c]]

(3)

NULL

eval(5*r^a+4*n-c*r^n-4*phi[0], [a = 1, c = 5, n = 1, phi[0] = 1])

0

(4)

NULL


how can i get all solutions for a equation like this ?

Download eq000.mw

As I am beginner in maple, how to verify Bianchi Identities?

For Riemannian manifold,

1) R(X, Y)*Z+R(Y, Z)*X+R(Z, X)*Y = 0 

2) ((&nabla;)[X]R)(Y,Z)W+((&nabla;)[Y]R)(Z,X)W+((&nabla;)[Z]R)(X,Y)W=0

I am not getting how to define vector fields. From my previous question I understood defining vector fields particularly. From that post I tried to verify the proof, but I cant. Please tell me about how to define vector fields without taking examples.

Thank in advance.

Hi, does anyone know how to plot a Bode diagram (phase and amplitude plot)? I am not looking for preparation of data but rather for the technicality of producing a plot that looks like I want, given I have data in the right form (which in my case are three Vectors: frequency, amplitude and phase).

Below is a rough sketch of what I am looking for. Note that the amplitude is on a log scale. It would be acceptable having to take the log of the data "by hand" to allow both vertical scales to be linear (I'd just convert the amplitudes to dB). The important things are the common frequency scale (horizontal) and the separation of amplitude and phase. I know plots has  dualaxisplot, and I know I can use plots:-transform to move a curve around, but I want the two axes on the left side, below each other, rather on the left and right. I'd like the frequency scale in the middle between the two curves, although I could settle on that scale to be below both curves.

I had some look around the Maple applications but did not find anything looking like this.

Thanks,

Mac Dude

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