MaplePrimes Questions

 

Hi, 

I am struggling to obtain solutions for two bi-variate euqations numerically. A command line that I am currently using (for a dummy problem) is as follows: 

soln := {solve({f(x,y)=0, g(x,y)=0}, {x,y})}; 

There are mainly two issues:

1. For some reasons, Maple 2017 takes ages to obtain solutions for certain parameter values. At times, it does not provide any solution which should not happen. I am assuming that this is to do with the "solve" command.

2. Also, I am not sure how to limit search procedure within feasible ranges for variables. In this case, how do I incorporate conditions 0 <= x, y <=1? If I can incorporate these constraints in the "solve" (or any better) command, then I can automatically get rid of complex solutions as they are not relevant for me. 

I would appreciate inputs in this regard. Thank you,

Omkar

 

 

Is there a simple way to reverse the handedness of the axes? I have the following figure:

shadebetween(0, 2-x-y, x = 0 .. 1, y = x^2 .. sqrt(x), scaling = unconstrained, color = yellow, axes = normal, labels = [Z, Y, X], transparency = .9)

and I want the X and Y-axes reversed from a left-handed orientation to a right-handed orientation.

I recently changed to a very high resolution monitor. The worksheet material is fine, since I can control the  zoom level, but the material at the top panel, the menus and information in the help page panels is much too small,  How can it be controlled?

 

Thank you,                        --Micha Hofri

Comment:   The responder tomleslie indeed identified the problem --- fixed pixel-count programming  Some software products, such as the FireFox browser provide access to hundreds of configuration parameters.  Surely the Maple tools have such a file, but I have seen no access.

The monitor I use is indeed of high resolution, the manufacturer says it is 3840x2160, (24'' -- I use 2 of them in a T configuration).  It is a delight, except when trying to read minute characters.

I suppose I need a pointer from the people in the know........Micha Hofri

 

Responding to a comment by Mac Dude that the issue may have to do with Windows.  I assume he refers to the MIcroSoft OS.

My computers run the Mint distribution of linux (window manager is Mate).  These matters are important, yet my needs would likely be addressed by the Maple user interface mechanisms.

My difficulty is finding a way to interact with these mechanisms, I suppose.   --Micha Hofri

 

 

g3 := 2*(1+exp(4*x))/(exp(4*x)-1);
a:=eval(diff(g3,x$n)/n!, x=0) assuming n>=0:
hello := sum(a*x^n, n=0..infinity):

it run a very long time like endless
 

please see the attached worksheet and assist me with understanding why these unusual results are computed.
 

simplify(op((diff(z/sqrt(z^2), [`$`(z, k)]))/pochhammer(1-k, k))[1]^(1/k), 'symbolic')

simplify(simplify(op((diff(z/sqrt(z^2), [`$`(z, k)]))/pochhammer(1-k, k))[2]^(-1/k)-op((diff(z/sqrt(z^2), [`$`(z, k)]))/pochhammer(1-k, k))[1]^(1/k)*z, 'symbolic'))


 

Download primes_help_1.mw

Hello fellow Maple users

I am having trouble with the following integral:

I would like Maple to return the following answer:

I hope there is someone out there who can help me with this issue.

 

=

The results are in the reverse order that I would like to see them.

Is there a way to change this order???

It seems that simplify uses some transformations that aren't generically valid, and evalf relies on those transformations too:

 

nint := (fz, zrng) -> evalf(add(
  int(fz, op(1, zrng) = op([2, i], zrng) .. op([2, i+1], zrng)),
  i = 1 .. nops(op(2, zrng))-1));
f1 := z -> MeijerG([[1/2], []], [[], []], z);

simplify(f1(z));
                       sqrt(1/z) exp(-1/z)

evalf(f1(-1));
                              -9                
               -1.672586379 10   + 2.718281828 I

f1(-1.);
                              -9                
               -1.672586379 10   - 2.718281828 I

nint(GAMMA(1/2+y)*(-1)^y, y = [-infinity-I, -I, I, -infinity+I])/(2*Pi*I);
                             -11                
               6.652676619 10    - 2.718281828 I

So it seems that evalf uses the simplified form, but that form doesn't agree with the definition of MeijerG for negative z. The form that does would be 1/sqrt(z)*exp(-1/z).

 

f2 := z -> MeijerG([[], [1]], [[0, 2], []], z);

simplify(f2(z));
                    exp(-z) z + exp(-z) - 1

evalf(f2(1));
                         -0.2642411177

f2(1.);
                          0.7357588823

nint(GAMMA(-y)*GAMMA(2-y)/GAMMA(1-y), y = [infinity-I, -1-I, -1+I, infinity+I])/(2*Pi*I);
                      0.7357588823 - 0. I

The result of simplify is off by -1. Just evaluating f2(1) doesn't use that transformation rule, but evalf apparently does.

 

Hello everybody.

I'd like to share an observation about the integration of the Jacobi elliptic functions, in particularly the elliptic sine sn(x,k).

It's correct answer. But when I make the integration of the expression

 

according to the Handbook of Elliptic Integrals for Engineers and Scientists we have slightly another result

What is the difference?

when use cmaple and print command to show result in text file, it use multiple line to express

but not maple command

how to print the maple command instead of multiple line expression when use cmaple

series(1/(1-x), x=0);
can be express as sum(x^y,y=0..infinity)
 
series(tanh(x), x=0);
how to express tanh(x) and tanh(x+1)?
 
is there any function and procedure to generate x^y these kind of result?

g2 := arctanh((exp(2*y)+sqrt((exp(2*y))^2+exp(2*y)))/exp(2*y)-1)-1;
singular(g2);
FunctionAdvisor(definition, g2);
plot(g2, y=-5..5);
 

Hello,

I would like to build a Maple call, whereby 5x^3+7x^2+2x^3 is somehow exported to latex without collecting like terms.

I cannot seem to get it to work.

any help would be much appreciated.

 

Thanks,

Mark

 

Numeric.mw

Is there an iterative solver for numeric equations. I'm trying to solve for Iarc & Rarc knowing C and Z1, Z1 can be complex.

Dears,

I have seen a Mathematica code which I would like to have it in Maple, since I do not know that program. Let f(z) an analytic function, say f(z):=1+2^{z+1}+3^{z}. To find the roots of f(z) in a regingion, we can use in Maple the command "Analytic" (of the package "RootFinding"). However, in Mathematica is used the following:

L = 20; Monitor[zeros = Flatten@Table[N[z /. Solve[f[z] ⩵ 0 && k L ≤ Re[z] ≤ k L + L && -10 < Im[z] < 10, z], 25],{k, 300}],k];

What means the "N[z/. Solve..." instruction? Also, the following command:

SortBy[zeros, Re]; 

Can be "translated" to Maple?

 

Many thaks in advance for your comments!

With Regards,

G.

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