1.

similar gap system, which function can output coset table ?

if find example below,

f := FreeGroup( "a", "b" );

g := f / [f.1^2, f.2^3, (f.1*f.2)^5];
tab := CosetTable(g, Subgroup(g, [g.1, g.2*g.1*g.2*g.1*g.2^-1]));

2.

if quotient group is for equivalence relations, what do relations [g.1, g.2*g.1*g.2*g.1*g.2^-1] for? which kind of relations is for input to subgroup parameter which is like relations?

3. equalivance relations in wiki mentioned is to partition cells, how do they satisfy symmetric, reflexive and transitive after partition? how to test these partition?

how to implement a free group with symmetric properties?

i find that equivalence relations = relexive, symmetric and transitive , is only these three ?

if implement symmetric properties, does it mean that adding equivalence relations to group?

how to implement free group with this?

i guess something like

f := FreeGroup( "a", "b" );
g := f / [equivalence relations....];

is there a library storing all kinds of equivalence relations?
https://en.wikipedia.org/wiki/Equivalence_relation
For quotient groups, is there IsEquivalenceRelation and IsEquivalenceClass like gap system?
www.gap-system.org/Manuals/doc/ref/chap33.html
like
f := FreeGroup( "a", "b" );
g := f / [f.1^2, f.2^3, (f.1*f.2)^5];

when i paste words here, most words missing, is there being hacked?

Hi,

  Suppose I have a probability distribution function f(x). I would like to generate points in a 

(1) given interval, can be up to infinity

(2) number of points

(3) satisfy the known probability distribution function f(x)

(4) possible other specifications

  Is there any build-in option in maple I could use? Or I have to write something manually?

Thank you very much!

I want to calculate

Lim _x-->1⁺ ([X²]-1)/([X]-1)

I let  x=1+c  and  _c-->0⁺  then we have [X²]=[c²+2c+1]=[2c]+1

Lim _x-->1⁺ ([X²]-1)/([X]-1) = Lim _c-->0⁺ [2c]/[c]

Maple shows the both limitations equal to zero

I want know how maple claculates it

Download Define_Question.mwDefine_Question.mw

If there is  an equation or are several equations, I need to obtain all the roots, how can I do???

fsolve ? rootfindings? or what?

If an examples of actual is given,  That will be perfect  !!!

Thanks 

with this simple circuit i found a wrong simulation result : look at the probe 3 value.  someone could help me please ?

The same error i found in this circuit (binary adder)

Hi, there

How can we plot the volume of revolution of the region between two curves y=2x-x^2 and y=sqrt(2x-x^2) around the x-axis?

Any help will be appreciated. I used a command in maple 13 but the result was a sphere!

Regards

Yegan

Hi, I am new to Maple. I want to plot a graph in a separate window from command-line maple. I tried the following code and getting this error

> plotsetup(window);
> plot(x,x=-10..10);
Plotting error, no plot device driver for plotdevice=window
>

I tried maplet but I am not getting the plot

> plotsetup(maplet);
> plot(x,x=-10..10);
Initializing Java runtime environment.
>

What should I do to get the plot??

Given an almost contact metric manifold M(\phi,\xi,\eta, g), we say
that M is a generalized Sasakian-space-form if there exist three functions f1, f2, f3
on M such that the curvature tensor R is given by

R(X,Y)Z=f_1{g(Y,Z)X-g(X,Z)Y}+f_2{g(X,\phiZ)\phiY-g(Y,\phiZ)\phiX+2g(X,\phiY)\phiZ}+f_3{\eta(X)\eta(Z)Y-\eta(Y)\eta(Z)X+gg(X,Z)\eta(Y)\xi-g(Y,Z)\eta(X)\xi}

In (2n+1) dimensional generalized Sasakian space form M²ⁿ⁺¹(f_1,f_2,f_3), we have the following relations.

S(X,Y)=(2nf_1+3f_2-f_3)g(X,Y)-(3f_2+(2n-1)f_3)\eta(X)\eta(Y)

S(X,\xi)=2n(f_1-f_3)\eta(X)

C\bar(\xi,X)Y=[f_1-f_3-(r/2n(2n-1))][g(X,Y)\xi-\eta(Y)X]

P(X,Y)Z=R(X,Y)Z-(1/(n-1))[S(Y,Z)X-S(X,Z)Y]

R(X,Y)\xi=(f_1-f_3){\eta(Y)X-\eta(X)Y}

R(\xi,X)Y=(f_1-f_3){g(X,Y)\xi-\eta(Y)X}

for any vector fields X, Y on M, where R, S, C\bar, and r denote the Riemannian curvature tensor, Ricci tensor, concircular curvature tensor and scalar curvature of M²ⁿ⁺¹(f1, f2, f3), respectively 

Using above equations I have to evaluate P(C\bar(\xi,X)Y,Z)U.

Manually It is tedious job. Can we find the value by maple? Is there any option to solve these type of problems?

If yes, I can solve many more, which helps a lot in my work.. Thanks in advance.

Hello,

I have a procedure wich is something like 

F:=proc(a,b,l) limit(f(a,b),b=l); end proc;

For my specific problem, the limit always exists and is a well defined function

After that, I would like to generate other functions, depending on F(a,b,l), e.g.:

G:=proc(a,b,N) add(F(a,b,l),l=1..N); end proc;

However, when I tried to do that, Maple inserts in G an unevaluated F, depending on the results of the limits. This makes G not work properly (unevaluated), since the limit is not computed before G. I tried to use some intermediate steps, like using unapply command, but it does not works.

If someone can help, I would appreciate.

Hi,

I have a problem with maple solving diffusion equation. I solved the equation as follows

Es := 0.117108e12;
Ef := 0.78125e11;
l := 0.150e-6;
s := 0.500000e-3;
f := 0.5898334197e-6;
o := 0.9e-5;
d := 0.10e-17;
cb := 0.1e7/(19.9);
c := l*f/(d*cb);
PDE := diff(u(x, t), t)-(diff(u(x, t), x, x)) = 0;
IBC1 := {u(x, 0) = 0, (D[1](u))(0, t) = 0, (D[1](u))(1, t) = c};
S1 := pdsolve(PDE, IBC1, numeric, time = t);
S1:-plot(t = 0.6e-2);

i am plotting cincentration along the thickness of the material. i want to know why the concentration is negative. It should not be negative because constant flux 'c' is present at x=1. and flux at x=0 is 0, and also the initial concentration is 0.

Thanks

 

How can I plot the volume of revolution of the region between the curves y=ln(x) and y=-ln(x)on the interval [1,e]

around the y-axis.please specify the command. I used the command: VolumeOfRevolution(ln(x),-ln(x), x=1..e, scaling=constrained,axis=vertical,output=plot). But this command only plots the revolution of the curves not the region between them.

Best Regards

Yegan 

My exposure to the topic of Fourier Transforms is very cursory--maybe a few weeks work as part of an undergraduate math course (in an engineering program.) However, I am now returning to the subject for a while and, reading material, noticed that some routines scale the Fourier coefficients differently. So now I am wondering: Why do different routines scale the coefficients differently? If the purpose of the Fourier Transform is to extract the components of circular motion from data, shouldn't it all work out the same?