I am beginner in maple. And my field is Differential geometry. I am trying this calculation through maple.

I have these vector fields e1=z²∗D_x,e2=z²∗D_y,e3=z²∗D_z

Now I have to calculate 2g(∇_e1e3,e1) using maple. where The Riemannian connection ∇ of the metric tensor g is given by Koszul's formula

2g(∇_XY,Z)=X_g(Y,Z)+Y_g(Z,X)−Z_g(X,Y)−g(X,[Y,Z])−g(Y,[X,Z])+g(Z,[X,Y])

By calculated manually I got 2g(∇_e1e3,e1)=2g(−(2/z) e1,e1)

So help me in simplifying tedious calculations using maple. I will try to learn.

hi  for example to calculate the following

residue((Psi(-z)+Eulergamma)^2*h(z), z = 2)

gives

3*h(2)+(D(h))(2)

but it possible to write 

as( Psi(2)+Eulergamma(z))*h(2)+(D(h))(2)

so that 

and Psi(z)+Eulergamma== harmonicNumber(z-1)

the result must be

harmonicNumber(2)*h(2)+(D(h))(2)

it is possible that Maple gives explit form of the values function avoid to calculate automatic.

thanks

I found some codes for drawing my Graph in Maple:

[>  with(GraphTheory);

     W := Graph(undirected, {{0, 1}, {0, 2}, {0, 3}}):

     HighlightEdges(W, W, black):

     HighlightVertex(W, [1, 2, 3, 0], gray):

     DrawGraph( W);

 The way that the graph was plotted was not what I wanted to have. In fact, I expected to have something like this one:

http://i.stack.imgur.com/JMfmd.png

I mean the vertexes are shaped by circles not by boxs. Moreover, one may want to see labels below (or above) the circled nodes. My question is 

" Is there any certain codes we can use to have this graph like the picture above? Can we manage the labels to be appeared near the nodes in Maple?

Thanks for your time!

Hello There:

I used to display module bodies with eval with former Maple version: it seems not to work with Maple 2015: any idea ?

Thanks in advance,

Jerome

I have a question about "EliminationIdeal" command. When I call EliminationIdeal(<x>,{a,b,c}) appears error. I know that the output of this computation must be []. What I have to do?

Hi all,

I am considering a scenario in which I have, for example, four matrices, A, B, C, and D, which form a basis for all of the (numerical) calculations I am doing.  (For example, A + B = i*C, etc.)  Right now, if I add A and B, I get a matrix back whose elements are i*C, but I cannot get Maple to express it as i*C.  As a simple example, let:

A = (1 0 // 0 1 )

B = (0 1 // -1 0)

C = (i i // -i i)

Then A + B returns (1 1 // -1 1); I'd like for Maple to "intelligently" give iC.  So...how can I get Maple to expand a given matrix (A+B) in terms of a particular basis (here, simply C)?

Thank you.

Hi all,

I would like to plot a solution of differentiel equation in its three ranges [-10,-6^(2/3)/4[,[-6^(2/3)/4,6^(2/3)/4], ]6^(2/3)/4,10] .

When plotting using unapply(piecewise) I got an error like

Error, (in plot) offset to _Inert_LOCAL outside of range

See below my code.

Thanks for hellp.

HYP.mw

cheese_division.mw

3 different dia circular cheeses. same depth. minimize cuts such that its divided equaly among four people.

can be done in 3 cuts. can evem be done in 2

could some erudite richard provide maple solution to this Q. thx

reinstalled m18, i used to have an ini file, but it got deleted.

so i made a text file, called it maple.ini with the following text: 

interface(prompt=""):
e:=exp(1);
digits:=15;
HelpBGColor=255,255,224;
print("maple init loaded...");

I placed it

 C:\Program Files\Maple 18\bin.win

and

 C:\Program Files\Maple 18\lib

and

C:\Program Files\Maple 18\Users

it doesnt load when i load maple!

Is it possible to somehow extract a derivative from numeric solution of partial differential equation?

I know there is a command that does it for dsolve but i couldn't find the same thing for pdsolve.

The actual problem i have is that i have to take a numeric solution, calculate a derivative from it and later use it somewhere else, but the solution that i have is just a set of numbers an array of some sort and i can't really do that because obviously i will get a zero each time.

Perhaps there is a way to interpolate this numeric solution somehow?

I found that someone asked a similar question earlier but i couldn't find an answer for it.

Hi, I know this has been asked ( and answered before) but when I installed this package and pressed ?globalsearch the help page is void.how do I get it?

Why does my Maple 2015 constantly pause to redraw symbols in pinned palettes?  Really seems to slow down my use of the program.  Had this problem in previous versions also.  Using OSX Yosemite latest version.

How to solve delay differential equations with Maple?

Example:

diff(x(t),t) = 3*x(t)^2 + 0.3*x(x-0.03)

Hello everybody,

I have an nx2 matrix of (t,w) , I need to fit a curve of the form of w = A(t-b)^c to the data. What I have already tried is to pick a value for b, then regress log w on log (t-b) linearly, which is not very accurate. I'd  greatly appreciate any comments that could help me to find the optimum values for A, b and c through regression methods.

Thanks a lot,

Haley

Hello everyone, 

I have a question regarding my Spline interpolations. I am not an expert on the theory there, but the maple help tells me that the first derivative of an 3rd degree spline interpolation should exist at the knots. But a derivation returns "undefined" at some of the knots instead. Here is my example:

x(t):=Spline([[0, 0], [1, 1], [2, 2], [3, 2.2], [4, 1.8]],t,degree=3);

returns

x(t):=piecewise(t < 1, .953571428571429*t+0.464285714285714e-1*t^3, t < 2, -0.9286e-1+1.09285714285714*t+.139285714285714*(t-1)^2-.232142857142857*(t-1)^3, t < 3, .65000+.675000000000000*t-.557142857142857*(t-2)^2+0.821428571428571e-1*(t-2)^3, 2.77857-.192857142857143*t-.310714285714286*(t-3)^2+.103571428571429*(t-3)^3);

diff(x(t),t);

returns

piecewise(t < 1., .953571+.139286*t^2, t = 1., Float(undefined), t < 2., .814286+.278571*t-.696429*(t-1.)^2, t = 2., Float(undefined), t <= 3., 2.90357-1.11429*t+.246429*(t-2.)^2, 3. < t, 1.67143-.621429*t+.310714*(t-3.)^2);

Not defined at t=1 and t=2. Is it possible to get an interpolation of which the first derivative exists at every point? Thank you very much!