Maple 13 Questions and Posts

These are Posts and Questions associated with the product, Maple 13

Dear Maple user I am facing error while running the codes  to plot the graph for two data sets .

I am attaching the files.

Error_in_Display_1.mw

Dear maple user i have a partial differential equation whose first approximation solution is w(r,z)=(r^2-h^2)/4 , i want to calculate the two approximations. I am attaching the file please see  

# I dont want to solve directly.

HP_Help.mw

My Maple Program run perfectly  with Window 10.  My new Laptop has Window 11 and I get system  crash wenn I applied

plot3d(...) .

So I think It is somethink with the Grapics Redering ?

Can somebody help ?

Betriebsystemname    Microsoft Windows 11 Home
Version    10.0.22621 Build 22621
Weitere Betriebsystembeschreibung     Nicht verfügbar
Betriebsystemhersteller    Microsoft Corporation
Systemname    ELIPAN
Systemhersteller    SAMSUNG ELECTRONICS CO., LTD.
Systemmodell    750XED
Systemtyp    x64-basierter PC
System-SKU    SCAI-A5A5-A5A5-ADLP-PCFG
Prozessor    12th Gen Intel(R) Core(TM) i5-1235U, 1300 MHz, 10 Kern(e), 12 logische(r) Prozessor(en)
BIOS-Version/-Datum    American Megatrends International, LLC. P08CFG.033.220913.HQ, 13.09.2022
SMBIOS-Version    3.4
Version des eingebetteten Controllers    255.255
BIOS-Modus    UEFI
BaseBoard-Hersteller    SAMSUNG ELECTRONICS CO., LTD.
BaseBoard-Produkt    NP750XED-KC5DE
BaseBoard-Version    SAMSUNG_SW_REVISION_12345+10.0.22000
Plattformrolle    Mobil
Sicherer Startzustand    Ein
PCR7-Konfiguration    Erweiterung zum Anzeigen erforderlich
Windows-Verzeichnis    C:\WINDOWS
Systemverzeichnis    C:\WINDOWS\system32
Startgerät    \Device\HarddiskVolume1
Gebietsschema    Deutschland
Hardwareabstraktionsebene    Version = "10.0.22621.819"
Benutzername    ELIPAN\Pan
Zeitzone    Mitteleuropäische Zeit
Installierter physischer Speicher (RAM)    16,0 GB
Gesamter physischer Speicher    15,7 GB
Verfügbarer physischer Speicher    8,28 GB
Gesamter virtueller Speicher    16,7 GB
Verfügbarer virtueller Speicher    6,98 GB
Größe der Auslagerungsdatei    1,00 GB
Auslagerungsdatei    C:\pagefile.sys
Kernel-DMA-Schutz    Ein
Virtualisierungsbasierte Sicherheit    Wird ausgeführt...
Virtualisierungsbasierte Sicherheit – erforderliche Sicherheitseigenschaften    
Virtualisierungsbasierte Sicherheit – verfügbare Sicherheitseigenschaften    Allgemeine Virtualisierungsunterstützung, Sicherer Start, DMA-Schutz, UEFI-Code Readonly, SMM Security Mitigations 1.0, Modusbasierte Ausführungssteuerung, APIC-Virtualisierung
Virtualisierungsbasierte Sicherheit – konfigurierte Dienste    Durch Hypervisor erzwungene Codeintegrität
Virtualisierungsbasierte Sicherheit – ausgeführte Dienste    Durch Hypervisor erzwungene Codeintegrität
Windows Defender-Anwendungssteuerungsrichtlinie    Erzwungen
Windows Defender-Anwendungssteuerungs-Richtlinie für den Benutzermodus    Aus
Unterstützung der Geräteverschlüsselung    Erweiterung zum Anzeigen erforderlich
Es wurde ein Hypervisor erkannt. Features, die für Hyper-V erforderlich sind, werden nicht angezeigt.    

 

Hi,

I am using Maple 13, 16 and 17 on 64 bit ubuntu 14.04LTS without 

any problems.

 

I tried to start the above Maple versions after upgrading to ubuntu 18.04LTS. Unfortunately, Maple does not start and transmits an incorrect hostid error message. The error message for Maple 16 is pasted below.

 

The command ifconfig -a produces an ethernet address 00:21:70:a6:a4:4b that is identical to the hostid given in the license.dat file.

 

I believe that the license manager flexnet is 32 bit. I used the synaptic 

manager to install lsb-base and ia32-libs (synaptic package manager refused to install lsb-core and transmitted some error messages). However, this did not help and I obtained the same hostid error message.

 

I do not know what is causing the hostid error message. Maybe some script file/s in the Maple installation can be modified such that Maple starts correctly?

 

Any assistance in getting Maple 13, 16, 17 to start on ubuntu 18.04LTS 

would be much appreciated.

 

Thank you very much for your support.
CF

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 

> ...:~/maple> maple16
> Maple initialization error, Invalid host.
> The hostid of this system does not match the hostid
> specified in the license file.
> Feature: Maple16
> Hostid: 002170a6a44b
> License path:
> /home/apps/maple16/toolbox/MapleSim/license/MapleSim.dat:/home/apps/maple16/license/license.dat:
> FLEXnet Licensing error:-9,57
> For further information, refer to the FLEXnet Licensing documentation,
> available at
> "https://linkprotect.cudasvc.com/url?a=https%3a%2f%2fwww.acresso.com&c=E,1,5ci9cywR8uvrXaVJ4IkoXH0TFBBbJwSK_TulrfrUDs5AyVQ4TXsHOVm5KWKAIhp4OZb9C4OAnmgylY1JC6fpbdZK9SjQLVrW012Uzxq18iDYC56NG2eDyHS8RPA,&typo=1".
.......
>

> root@<mailto:root@>...:~# ifconfig -a
> enp0s25: flags=4099<UP,BROADCAST,MULTICAST> mtu 1500
> ether 00:21:70:a6:a4:4b txqueuelen 1000 (Ethernet)
> RX packets 0 bytes 0 (0.0 B)
> RX errors 0 dropped 0 overruns 0 frame 0
> TX packets 0 bytes 0 (0.0 B)
> TX errors 0 dropped 0 overruns 0 carrier 0 collisions 0
> device interrupt 22 memory 0xf6ae0000-f6b00000
>
> lo: flags=73<UP,LOOPBACK,RUNNING> mtu 65536
> inet 127.0.0.1 netmask 255.0.0.0
> inet6 ::1 prefixlen 128 scopeid 0x10<host>
> loop txqueuelen 1000 (Local Loopback)
> RX packets 454 bytes 35138 (35.1 KB)
> RX errors 0 dropped 0 overruns 0 frame 0
> TX packets 454 bytes 35138 (35.1 KB)
> TX errors 0 dropped 0 overruns 0 carrier 0 collisions 0

 

 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 

I have this two expresions

e1 := (1/2)*P[psi]^2/(cos(`&vartheta;`)^2*Ix)

e2 := (1/2)*P[psi]^2/(cos(`&vartheta;`)^2*Ix)

simplify(e1-e2)=-(1/2)*(-P[psi]^2+P[psi]^2)/(cos(`&vartheta;`)^2*Ix)

but 

simplify(-P[psi]^2+P[psi]^2)

is zero 

why i dont obtain zero if i use simplify(e1-e2) ??

Hi all,

We want to find a curve fit for an integer sequence.

We have n such that n^2+n+17 is a prime number.

See oeis.org/A007635 and comments.

Use the Maple CurveFitting package.

I tried with(CurveFitting).

We do not know if this is best represented by a polynomial or exponential curve fit.

 

n2_and_n_and_17_in_OEIS_007635.mw

n2_and_n_and_17_in_OEIS_007635.pdf

Regards,

Matt

Since I am a mathematician, I am wondering how Maple goes about solving an identity for 3 functions.
Let's say we have af1(t)+bf_2(t)+cf_3(t) = 0 for all t. How does maple actually find a triplet a,b,c that works for all real t?
It does with solve(identity( ),[a,b,c]). But what is the theory behind it?
We know, of course, a priori, that such a triplet exists.

Thank you!

mapleatha

 



 

I am trying to calculate the following integra   
r*rr*g1^2*h1^2*f1^2*fh1^2*exp(-2*t)/t

here g1 is a kummerM functin in s, and also h1 is another kummerM function  in ss, and f1 and fh1 are the HeunB functions with complex arguments in r and rr. and t=sqrt((r-rr)^2+(s-ss)^2).I would like to integte over dr drr ds dss

How should wirte a while loop for solve nonlinear equations by newton raphson method

why i can not evaluate 29 polynomial. maple try to evaluate last 7hr, how many time required too solve it?

 

hai, 
greetings,

I require help to plot graphs by changing differernt parameters. i am enclosing my codes and sample codes,

 my_codes.mw

nanofluid_sample.mw

Thanks in advance.

How can I activate my maple 13?

I have no activatIon left but installed maple

once

My purchase Code is BNN7VMT4BPFN7ESG

Thank. You 

Hello everyone! I have just started to using Maple 13. I want to solve complex eauation systems.

When I am working on Maple, If I write simple mathematical calculation and then press right click, the context menu open. However, I want to use solve command. Therefore I wrote an eauation after than press right click the context menu will not open. 

What is the reason of this problem? 

In the following problem at two example are given. For Z=2 the sum is converging whereas at Z=4 it is not converging. Thank you

 

PROBLEM.mw


 

restart

`ode&lambda;` := diff(lambda(tau), tau, tau)+2*a*Ep(tau)*(diff(lambda(tau), tau))/(Xi(tau)*a+1) = 0:

th := algsubs((diff(lambda(tau), tau))^2 = (-1-(diff(xi(tau), tau))^2)/(-(xi(tau)*a+1)^2), `ode&xi;`):

a*(diff(xi(tau), tau))^2/(xi(tau)*a+1)+diff(diff(xi(tau), tau), tau)+a/(xi(tau)*a+1) = 0

 

a*(diff(xi(tau), tau))^2/(xi(tau)*a+1)+diff(diff(xi(tau), tau), tau)-a/(xi(tau)*a+1) = 0

(1)

ds2 := -(xi(tau)*a+1)^2*(diff(lambda(tau), tau))^2+(diff(xi(tau), tau))^2:

`&lambda;p1` := 1:

`ics&lambda;1` := lambda(0) = 0, (D(lambda))(0) = `&lambda;p1`:

xi(0) = (-1+2^(1/2))/a, (D(xi))(0) = 1

 

xi(0) = 1/a, (D(xi))(0) = 2

(2)

`lp&xi;1` := dsolve([`ode&xi;1`, `ics&xi;1`], numeric, output = listprocedure, range = teu .. te, events = event1); Xi := eval(xi(tau), `lp&xi;1`); `&Xi;p` := eval(diff(xi(tau), tau), `lp&xi;1`); `ode&lambda;`; `lp&lambda;1` := dsolve([`ode&lambda;`, `ics&lambda;1`], numeric, output = listprocedure, range = teu .. te, events = event1)

diff(diff(lambda(tau), tau), tau)+.6*Ep(tau)*(diff(lambda(tau), tau))/(.3*Xi(tau)+1) = 0

 

Error, (in dsolve/numeric/DAE/make_proc) number of unknown functions and equations must match, got 3 functions {Ep, Xi, lambda}, and 1 equations

 

`lp&xi;1`(1)

[tau(1) = 1., (xi(tau))(1) = 2.20293901854199481, (diff(xi(tau), tau))(1) = .670856526448510904]

(3)

`&lambda;ep1` := eval(diff(lambda(tau), tau), lp1); `&xi;ep1` := eval(diff(xi(tau), tau), lp1); `&lambda;e1` := eval(lambda(tau), lp1); `&xi;e1` := eval(xi(tau), lp1)

proc (tau) local _res, _dat, _solnproc, _xout, _ndsol, _pars, _i; option `Copyright (c) 2000 by Waterloo Maple Inc. All rights reserved.`; if 1 < nargs then error "invalid input: too many arguments" end if; _EnvDSNumericSaveDigits := Digits; Digits := 15; if _EnvInFsolve = true then _xout := evalf[_EnvDSNumericSaveDigits](tau) else _xout := evalf(tau) end if; _dat := eval(`dsolve/numeric/data/modules`[1]); _solnproc := _dat:-Get("soln_procedure"); _pars := map(rhs, _dat:-Get("params")); if not type(_xout, 'numeric') then if member(tau, ["start", 'start', "method", 'method', "left", 'left', "right", 'right', "leftdata", "rightdata", "enginedata", "eventstop", 'eventstop', "eventclear", 'eventclear', "eventstatus", 'eventstatus', "laxtol", 'laxtol', "numfun", 'numfun', NULL]) then _res := _solnproc(convert(tau, 'string')); if 1 < nops([_res]) then return _res elif type(_res, 'array') then return eval(_res, 1) elif _res <> "procname" then return _res end if elif member(tau, ["last", 'last', "initial", 'initial', NULL]) then _res := _solnproc(convert(tau, 'string')); if type(_res, 'list') then return _res[4] else return NULL end if elif member(tau, ["parameters", 'parameters', "initial_and_parameters", 'initial_and_parameters', NULL]) then _xout := convert(tau, 'string'); _res := _solnproc(_xout); if _xout = "parameters" then return [seq(_pars[_i] = _res[_i], _i = 1 .. nops(_pars))] else return [_res[4], seq(_pars[_i] = [_res][2][_i], _i = 1 .. nops(_pars))] end if elif type(_xout, `=`) and member(lhs(_xout), ["initial", 'initial', "parameters", 'parameters', "initial_and_parameters", 'initial_and_parameters', NULL]) then _xout := convert(lhs(tau), 'string') = rhs(tau); if lhs(_xout) = "initial" then if type(rhs(_xout), 'list') then _res := _solnproc(_xout) else _res := _solnproc("initial" = ["single", 4, rhs(_xout)]) end if elif not type(rhs(_xout), 'list') then error "initial and/or parameter values must be specified in a list" elif lhs(_xout) = "initial_and_parameters" and nops(rhs(_xout)) = nops(_pars)+1 then _res := _solnproc(lhs(_xout) = ["single", 4, op(rhs(_xout))]) else _res := _solnproc(_xout) end if; if lhs(_xout) = "initial" then return _res[4] elif lhs(_xout) = "parameters" then return [seq(_pars[_i] = _res[_i], _i = 1 .. nops(_pars))] else return [_res[4], seq(_pars[_i] = [_res][2][_i], _i = 1 .. nops(_pars))] end if elif type(_xout, `=`) and member(lhs(_xout), ["eventdisable", 'eventdisable', "eventenable", 'eventenable', "eventfired", 'eventfired', "direction", 'direction', NULL]) then return _solnproc(convert(lhs(tau), 'string') = rhs(tau)) elif _xout = "solnprocedure" then return eval(_solnproc) elif _xout = "sysvars" then return _dat:-Get("sysvars") end if; if procname <> unknown then return ('procname')(tau) else _ndsol := `tools/gensym`("xi(tau)"); eval(FromInert(_Inert_FUNCTION(_Inert_NAME("assign"), _Inert_EXPSEQ(ToInert(_ndsol), _Inert_VERBATIM(pointto(_dat:-Get("soln_procedures")[4])))))); return FromInert(_Inert_FUNCTION(ToInert(_ndsol), _Inert_EXPSEQ(ToInert(tau)))) end if end if; try _res := _solnproc(_xout); _res[4] catch: error  end try end proc

(4)

`&lambda;ep2` := eval(diff(lambda(tau), tau), lp2); `&xi;ep2` := eval(diff(xi(tau), tau), lp2); `&lambda;e2` := eval(lambda(tau), lp2); `&xi;e2` := eval(xi(tau), lp2)

proc (tau) local _res, _dat, _solnproc, _xout, _ndsol, _pars, _i; option `Copyright (c) 2000 by Waterloo Maple Inc. All rights reserved.`; if 1 < nargs then error "invalid input: too many arguments" end if; _EnvDSNumericSaveDigits := Digits; Digits := 15; if _EnvInFsolve = true then _xout := evalf[_EnvDSNumericSaveDigits](tau) else _xout := evalf(tau) end if; _dat := eval(`dsolve/numeric/data/modules`[2]); _solnproc := _dat:-Get("soln_procedure"); _pars := map(rhs, _dat:-Get("params")); if not type(_xout, 'numeric') then if member(tau, ["start", 'start', "method", 'method', "left", 'left', "right", 'right', "leftdata", "rightdata", "enginedata", "eventstop", 'eventstop', "eventclear", 'eventclear', "eventstatus", 'eventstatus', "laxtol", 'laxtol', "numfun", 'numfun', NULL]) then _res := _solnproc(convert(tau, 'string')); if 1 < nops([_res]) then return _res elif type(_res, 'array') then return eval(_res, 1) elif _res <> "procname" then return _res end if elif member(tau, ["last", 'last', "initial", 'initial', NULL]) then _res := _solnproc(convert(tau, 'string')); if type(_res, 'list') then return _res[4] else return NULL end if elif member(tau, ["parameters", 'parameters', "initial_and_parameters", 'initial_and_parameters', NULL]) then _xout := convert(tau, 'string'); _res := _solnproc(_xout); if _xout = "parameters" then return [seq(_pars[_i] = _res[_i], _i = 1 .. nops(_pars))] else return [_res[4], seq(_pars[_i] = [_res][2][_i], _i = 1 .. nops(_pars))] end if elif type(_xout, `=`) and member(lhs(_xout), ["initial", 'initial', "parameters", 'parameters', "initial_and_parameters", 'initial_and_parameters', NULL]) then _xout := convert(lhs(tau), 'string') = rhs(tau); if lhs(_xout) = "initial" then if type(rhs(_xout), 'list') then _res := _solnproc(_xout) else _res := _solnproc("initial" = ["single", 4, rhs(_xout)]) end if elif not type(rhs(_xout), 'list') then error "initial and/or parameter values must be specified in a list" elif lhs(_xout) = "initial_and_parameters" and nops(rhs(_xout)) = nops(_pars)+1 then _res := _solnproc(lhs(_xout) = ["single", 4, op(rhs(_xout))]) else _res := _solnproc(_xout) end if; if lhs(_xout) = "initial" then return _res[4] elif lhs(_xout) = "parameters" then return [seq(_pars[_i] = _res[_i], _i = 1 .. nops(_pars))] else return [_res[4], seq(_pars[_i] = [_res][2][_i], _i = 1 .. nops(_pars))] end if elif type(_xout, `=`) and member(lhs(_xout), ["eventdisable", 'eventdisable', "eventenable", 'eventenable', "eventfired", 'eventfired', "direction", 'direction', NULL]) then return _solnproc(convert(lhs(tau), 'string') = rhs(tau)) elif _xout = "solnprocedure" then return eval(_solnproc) elif _xout = "sysvars" then return _dat:-Get("sysvars") end if; if procname <> unknown then return ('procname')(tau) else _ndsol := `tools/gensym`("xi(tau)"); eval(FromInert(_Inert_FUNCTION(_Inert_NAME("assign"), _Inert_EXPSEQ(ToInert(_ndsol), _Inert_VERBATIM(pointto(_dat:-Get("soln_procedures")[4])))))); return FromInert(_Inert_FUNCTION(ToInert(_ndsol), _Inert_EXPSEQ(ToInert(tau)))) end if end if; try _res := _solnproc(_xout); _res[4] catch: error  end try end proc

(5)

ds2h1 := subs([lambda(tau) = `&lambda;e1`(tau), xi(tau) = `&xi;e1`(tau), diff(lambda(tau), tau) = `&lambda;ep1`(tau), diff(xi(tau), tau) = `&xi;ep1`(tau)], ds2); dse1 := unapply(ds2h1, tau); ds2h2 := subs([lambda(tau) = `&lambda;e2`(tau), xi(tau) = `&xi;e2`(tau), diff(lambda(tau), tau) = `&lambda;ep2`(tau), diff(xi(tau), tau) = `&xi;ep2`(tau)], ds2); dse2 := unapply(ds2h2, tau)

dse1(0); dse2(0)

-.999999999

 

1.000000000

(6)

``

t := proc (xi, lambda) options operator, arrow; (xi+1/a)*sinh(a*lambda) end proc; x := proc (xi, lambda) options operator, arrow; (xi+1/a)*cosh(a*lambda) end proc; xi0 := 1; teg := 7

1

 

7

(7)

p1 := plot([[x(xi0, `&lambda;e1`(tau)), t(xi0, `&lambda;e1`(tau)), tau = teu .. te]], legend = ['ds' = -1], color = ["red"]); p2 := plot([[t(xi0, `&lambda;e2`(tau)), x(xi0, `&lambda;e2`(tau)), tau = teu .. te]], legend = ['ds' = 1], color = ["blue"]); p3 := plot([[tau, tau, tau = -teg .. teg], [tau, -tau, tau = -teg .. teg]], color = ["black", "black"], legend = ['ds' = 0, 'ds' = 0])

with(plots); display([p1, p2, p3])

 

NULL

``


 

Download Rindler_simulation_v2.mw

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