## variation tab of a fonction ...

Hello,

Can you tell me how I can create the variation tab of a function with Maple 2022?

Thanking you,

,DAVID CRESPIL

## Exporting a mw file into a pdf: why some symbols ...

When exporting a maple file containing

pH = 1/2*(pKa - log[10](c)),

I could see that the minus was transformed into a K

Any idea for solving this problem ?

Cheers for Maple anyway

## Problems with Images in Maple Flow...

There are two issues I am having with images in Maple Flow 2022.

1. When I need to move an image up or down in the document it instantly flies to the top or off in to the vast corner of the document with the tiniest motion of the mouse. It's utterly ridiculous. Is there a setting to change this behaviour in Maple Flow? I have changed settings on my desktop with no change, so I believe it is Maple Flow's behavior.

2. When I do put an image somewhere and save the document and open it some time later, the images are moved in position on top of text. No amount of moving them and saving them ever changes this and I can't export a document that I need to submit for calculations on a report because of this.

Any help would be appreciated.

## Can we solve nonlinear coupled Ode with Bc?...

restart;

OdeSys := diff(U(Y), Y, Y)+Theta(Y)+N*(Theta(Y)*Theta(Y))-(M*M)*U(Y) = 0, diff(Theta(Y), Y, Y)+E*(diff(U(Y), Y))^2 = 0;

Cond := U(0) = lambda*(D(U))(0), Theta(0) = A+g*(D(Theta))(0), U(1) = 0, Theta(1) = B; sys := [OdeSys, Cond];
Ans := dsolve(sys);

## How can the functional derivative/variation of the...

Hello Everyone,

My questions is about a straight forward as my title suggests. I know how to compute the variation by hand and of course it is in plently of books, but I would like to know how I could possibly do it in Maple as I have some terms with non-trivial contributions where I infact need that specific variation.

I have attached my file I have been working with that has more comments.

RicciAction.mw

Thank you

## Maple error when using {} as assuming. Error, (in ...

in my program, I keep assumptions in a set. Sometimes this is empty if no assumptions are used. This never caused a problem before (at least I do not think so, else I would have seen it) when using empty {} in assuming, except for now.

Here is one example below. Is this a known problem? I noticed when changing {} to [] the error goes away. I am not sure why, and if this is known issue. But will change from a set to a list to avoid this.

Maple 2022.2 on windows 10

 > interface(version);

 > Physics:-Version();

 > restart;
 > ode:=diff(diff(y(x),x),x)+diff(y(x),x)^2+diff(y(x),x) = 0; ic:=y(0) = 0; sol:=y(x) = -ln(exp(x))+ln(-1+_C1*exp(x))-ln(-1+_C1);

 > odetest(sol,[ode,ic]) assuming {};

Error, (in convert/multiset) too many levels of recursion

 > odetest(sol,[ode,ic]) assuming [];

 > odetest(sol,[ode, ic]);

 >

## Why a restart is needed to get a helpfull warning ...

Update: partly resolved in Maple 2023. int_warning.mw still does not show the warning

There is a very helpful warning about using assumptions from the int command that does not appear in the attached case:
Warning, unable to determine if -1 is between 0 and x0; try to use assumptions or use the AllSolutions option
Warning, unable to determine if 1 is between 0 and x0; try to use assumptions or use the AllSolutions option

Using infolevel[int]:=5 in Maple 2022.2,  one can see that the integrals listed under int/ellalg/elltype are not the same.

My preference would be to have this warning always working. It's a reminder that Maple cannot give a general answer but that there might be solutions for a restricted real domain. The warning also does not reproduce when execution the corresponding help page
(Update: the warning reproduces in Maple 2023)

https://www.maplesoft.com/support/help/errors/view.aspx?path=Warning,%20unable%20to%20determine%20if%201%20is%20between%200%20and%20x__0;%20try%20to%20use%20assumptions%20or%20use%20the%20AllSolutions%20option

Sidenote: This kind of warning is so useful that I wonder if and how such warnings could be extended beyond  integration with piecewise solutions. (Maybe also to other commands. Maple often returns input unevaluated because there is no general solution in the complex domain, without informing the inexperienced user that there might be solutions available in the real domain.)

int_warning.mw

int_warning_with_infolevel.mw

## Can 'Maple 2022' Simplify to a constant using L'ho...

My question is can the last step be equal to 1/6.

I want to output to 1/6. it outputs to sqrt(9)/18 - (See Below).

## Maple unter Window 11...

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
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.

## The function IndependencePolynomial of maple shou...

IndependencePolynomial returns the independence polynomial for the graph G in the variable x.

For the following example, its calculation took over 20 minutes and still hasn't produced a result, and what's fatal is that it  has consumed 4G  memory.

with(GraphTheory):
G:=ConvertGraph("W|tNHEpCKoh`@@Po_WHB@CKC?WGO{G?KKCB`?OMG?_y_?Sn");
G1:=LineGraph(G);
IndependencePolynomial(G1, x) # be careful

I use  codes in  the link https://github.com/pernici/hobj.

It produced results quickly (It takes approximately 5 seconds.). So I think the built-in function " IndependencePolynomial " should be able to be improved. (Of course we are usually very concerned about their coefficients)

Their coefficients of the independent polynomial of G1 are as follows.

[340649, 12329124, 68797662, 140606548, 139481127, 77027880, 25546428, 5303544, 700911, 58580, 2982, 84, 1]

It tells me the total number of independence sets with size 12 is 340649.

## FEM or FDM for the given pde can i calculate the ...

Hi,

I want to solve system of PDE equations by maple and i dont know how can i write it codes that can solve them for me. Can you create the code for the equation

Thank you