with(DEtools):
phaseportrait([secret], [a(t), b(t), c(t)], t = -2 .. 2, [[a(0) = 1, b(0) = 0, c(0) = 2]], stepsize = 0.5e-1, scene = [c(t), a(t)], linecolour = sin((1/2)*t*Pi), method = classical[foreuler]);

Error, (in DEtools/phaseportrait) the ODE system does not contain derivatives of the unknown function a

Environment: Maple2015, MATLAB_R2014b(MacOSX10.8.5), 2015b(MacOSX10.11.4)

MapleToolbox2015.1MacInstaller.app was successfully completed (log tells us), but when MATLAB were booted, following error messages appeared and symbolic operations of maple failed. 

This would be closely related to maple installation on MATLAB as such errors never occur for clean install of MATLABs and looks independent on OSX versions. Now javaforosx.dmg in use by instruction of Maplesoft.  Something wrong is in Maple2015. Note maple-MATLAB link works normally.

Please provide us with direction of how to fix it hopefully by Maplesoft professionals.

(Quote of MATLAB command window display)

Exception in thread "Startup Class Loader" java.lang.UnsatisfiedLinkError: jogamp.common.os.MachineDescriptionRuntime.getPointerSizeInBytesImpl()I

at jogamp.common.os.MachineDescriptionRuntime.getPointerSizeInBytesImpl(Native Method)

at jogamp.common.os.MachineDescriptionRuntime.getRuntimeImpl(MachineDescriptionRuntime.java:138)

at jogamp.common.os.MachineDescriptionRuntime.getRuntime(MachineDescriptionRuntime.java:124)

at com.jogamp.common.os.Platform.<clinit>(Platform.java:228)

at javax.media.opengl.GLProfile.<clinit>(GLProfile.java:83)

at com.mathworks.hg.peer.JavaSceneServerPeer.initializeJOGL(JavaSceneServerPeer.java:114)

at com.mathworks.hg.peer.JavaSceneServerPeer.<clinit>(JavaSceneServerPeer.java:100)

at java.lang.Class.forName0(Native Method)

at java.lang.Class.forName(Class.java:190)

at com.mathworks.mde.desk.StartupClassLoader.loadClass(StartupClassLoader.java:258)

at com.mathworks.mde.desk.StartupClassLoader.access$900(StartupClassLoader.java:25)

at com.mathworks.mde.desk.StartupClassLoader$2.run(StartupClassLoader.java:244)

at java.lang.Thread.run(Thread.java:745)

>> maple();

error: maple (line 178)

Invalid MEX-file '/Applications/MATLAB_R2014b.app/toolbox/maple/maplemex.mexmaci64':

dlopen(/Applications/MATLAB_R2014b.app/toolbox/maple/maplemex.mexmaci64, 6): Symbol not found: ___sincos_stret

  Referenced from: /Library/Frameworks/Maple.framework/Versions/2015/bin.APPLE_UNIVERSAL_OSX/libhf.dylib

  Expected in: /usr/lib/libSystem.B.dylib

 in /Library/Frameworks/Maple.framework/Versions/2015/bin.APPLE_UNIVERSAL_OSX/libhf.dylib

>> syms x  y

error: sym (line 186)

Invalid MEX-file '/Applications/MATLAB_R2014b.app/toolbox/maple/maplemex.mexmaci64':

dlopen(/Applications/MATLAB_R2014b.app/toolbox/maple/maplemex.mexmaci64, 6): Symbol not found: ___sincos_stret

  Referenced from: /Library/Frameworks/Maple.framework/Versions/2015/bin.APPLE_UNIVERSAL_OSX/libhf.dylib

  Expected in: /usr/lib/libSystem.B.dylib

 in /Library/Frameworks/Maple.framework/Versions/2015/bin.APPLE_UNIVERSAL_OSX/libhf.dylib

 error: sym (line 56)

           assignin('caller',varargin{i},sym(varargin{i})); 

(Unquote)

I've got the following:

Integral_over_region.mw

M_Iwaniuk

hi

how pdsolve 2D couple  non linear differential equations which attached below?

thanks

2D.mw

Download 2D.mw

Here is a code

Maple Worksheet - Error

Failed to load the worksheet /maplenet/convert/EQ.mw .

Download EQ.mw

A fragment of code

for b in extra_bcs do try print(b = 10^(-2)); res[b] := dsolve(dsys4 union {b = 10^(-2)}, numeric, initmesh = 2024, output = listprocedure, approxsoln = [omega2 = 0.1e-2, s(x) = cosh(upsilon*x)-cos(upsilon*x)-(cosh(upsilon)+cos(upsilon))*(sinh(upsilon*x)-sin(upsilon*x))/(sinh(upsilon)+sin(upsilon)), g(x) = sin(((2*n+1)*(1/2))*Pi)], abserr = 0.1e-1) catch: print(lasterror) end try end do; indx := indices(res, nolist); nops([indx]); res[indx[i]]; seq(subs(res[indx[i]](1), omega2(1)), i = 1 .. nops([indx]))

Is this what is supposed to happen when linking Maple to Matlab?  I was hoping it would open the actual Matlab program and write variables to the current worksheet.  I'm I missing something?

Nothing even pops up on the Matlab Command window. What good is this?

Leading on from this post I made before:

http://www.mapleprimes.com/questions/210359-Integrating-Very-Large-Sums

I have a script that can now integrate larger sums thanks to the tips I was given. I now have a question regarding cpu usage when the calculation is run through a loop. I have attached two files. One contains the sum (large_sum.txt) which is then read in to the main Maple script (large_sum_int.mw).

When the loop is run, the first few points are calculated quite consistently with very similar cpu times. However, as the calculation progresses the cpu time suddenly increases (with larger sums than the one given it is a very severe increase) it then decreases again and returns to the time it took for the initial points to be calculated.

Is there a reason there is a sticking point in this calculation? is there a more efficient way to simplify it before it reaches the integration stage? When using simplify(...,size) the initial block takes a very long time to execute hence is not included here. This is not the largest sum that needs to be processed so I am looking for means to speed up calculation time/make it more consistent.

Any help is appreciated

large_sum.txt

large_sum_int.mw

-Yeti

This is somehow an old problem which came back and I decided to post it. So, I have some code which runs in Grid framework locally. Each node saves data directly to hard disk and there is no need to return anything at the end to the node of ID 0. Nevertheless, I noticed that memory usage on one instance of the mserver is very huge.  Moreover, this instance is all the time in S state, namely sleeping. Below you can see dump from top. I deny this is caused by some particular procedures called in my code since in this case I should rather observe more uniform memory usage. I am not sure if for this moment I could share some code with you which demonstrate this behavior. I will try to write some toy example because my productive code cannot be posted here.

%MEM     TIME+ COMMAND

49.1 17:00.19 mserver
0.1 12:43.70 mserver
0.1 12:32.15 mserver
0.1 13:54.02 mserver
0.1 14:45.45 mserver
0.1 12:35.22 mserver
0.1 13:50.77 mserver
0.1 14:14.85 mserver
0.1 8:58.82 mserver
0.1 12:58.48 mserver
0.1 8:51.00 mserver
0.1 10:35.92 mserver
0.1 12:58.13 mserver
0.1 9:34.39 mserver
0.1 10:10.13 mserver
0.1 12:07.77 mserver
0.0 8:21.17 mserver
0.0 11:41.42 mserver
0.0 5:07.27 mserver
0.0 8:31.88 mserver
0.0 6:30.12 mserver

Hi there. 

I have a equation following:

with letters {a,b,c,d,k} is missing all solutions ,but with {z,u,w,t} letters works fine.

--------------------------------------------------------------------------------

Bug_maple.mw

I_Mariusz

I am faced by the problem where I used Grid:-Seq()---locally---to do some long time computation and I am faced by the exhaustion of memory problem. I think the problem itself is related to the memory management in maple.

So the problematic function is

# Procedure: ComputeEventsCTypeGrid
#   Compute events such that three quadrics intersects in a point.
#
# Parameters:
#   Q          - a set of quadrics
#
# Output:
#   Indexes of quadrics which intersect in a point.
# TODO:
#  - Memory
#  - Cleanups
ComputeEventsCTypeGrid := proc( Q )
  local s, cType, i, j, k, rootNb, univ, sys;
  s := proc (i, j, k)
    sys := [ Q[i], Q[j], Q[k] ];
    univ := PolynomialIdeals[UnivariatePolynomial]( indets( sys )[1], sys );
    if not type( univ, constant ) then
      rootNb := nops(select(proc(x)op(x)[2]>0;end proc,RootFinding:-Isolate( univ, [ op( indets(univ ) ) ] )) ):
      if rootNb > 0 then
        return [ univ, rootNb, sys ];
      end if:
    end if:
  end proc;
  cType := [Grid:-Seq(seq(seq(s(i,j,k),k=j+1..nops(Q)),j=i+1..nops(Q)),i=1..nops(Q))];
  return cType;
end proc:

A dump from top after calling ComputeEventsCTypeGrid for some data(total amount of memory on this machine is 251G + 48G swap)

VIRT    RES    SHR S  %CPU %MEM     TIME+

33.007g 0.031t   3676 S   0.0 12.5   2606:20
31.137g 0.029t   3436 S   0.0 11.7   2274:34
8645756 4.984g   2840 S   0.0  2.0  32:06.40
28.798g 0.026t   1968 S   0.0 10.7   1821:16
26.650g 0.024t   1968 S   0.0  9.8   1520:54
25.346g 0.023t   1968 S   0.0  9.2   1236:44
23.296g 0.021t   1968 S   0.0  8.4   1004:52
20.498g 0.018t   1968 S   0.0  7.4 790:30.81
16.799g 0.014t   1968 S   0.0  5.9 625:28.12
15.011g 0.013t   1968 S   0.0  5.2 469:36.27
7678444 4.149g   1968 S   0.0  1.6 104:34.22
6734804 623904   1968 S   0.0  0.2  73:13.13
4327420 132516   1968 S   0.0  0.1  24:11.51
3420712 111336   1968 S   0.0  0.0  11:26.16
13.671g 0.011t   1964 S   0.0  4.6 380:15.13
11.771g 9.831g   1964 S   0.0  3.9 274:25.59
9936056 7.769g   1964 S   0.0  3.1 201:13.94
8805512 3.394g   1964 S   0.0  1.3 148:09.53
5077056 1.500g   1964 S   0.0  0.6  42:19.29
2384784  82040   1832 S   0.0  0.0   3:56.57

Size of output data calculated with

> length(sprintf("%m", eval(cType)));

> 326260610

Also, I called gc() at the end of the computations but memory allocated by instances of mserver were not released. Does it mean gc() should be called from each instance separately? My final point is that I have to run some other calculations for different and bigger dataset (It will probably take 2 days to finish -- Q has around 700 polynomials of degree 2) and for this moment I cannot do this because I've gotten an error about not enough amount of memory.

Download PDE_equation2.mw

Hi all,

I have the following PDE, is it solveable by Maple or not. Do I need a boundary condition and how many or I can get a general solution? I am new to Maple. Any help will be appreciated.

Thank you.

hey guys Im new client in maple and today I was about check out the resualt of my mathematic quastion with maple.

I need a step by step solution and exact command to give me true resualts 

for example 

how can I expand a factorization like (x^2-y^2) to (x-y)(x+y)

in a little more  complicated form (cd-1)^2-(c-d)^2/(d^2)(c-1)=5 the value of c=?

for solve this problem I need to expand (cd-1)^2-(c-d)^2 than other expands & in the end value of c

I dont have anymore time for my mathemathic exam so know that how maple works in basic and intermadiate mathematic level is important to me

thank you guys

Hello dears! Hope all you are fine. I am facing problem to integrate some expression please see the attachment and fix the problem. I am very thankful for your favour. 

Integration.mw

Mob #: 0086-13001903838

It returns unevaluated.  The solution is x=-ln(3),y=0.  In fact it doesn't give a solution even if the solution is provided as the initial point.  The value of Digits doesn't seem to make a difference.

(Tested Maple 2015.2 Macintosh and Maple 2015.1 Linux)

the program is not recognized k