I have a workbook that derives the Cobb-Douglas factor demand functions:

The final formulas (10) and (11) are not in the same format as the formulas in my textbook (by Hal Varian). In fact my last formulas betray no obvious symmetry while Varian's forms do.

Download cobb-douglas.mw

Here is a picture of them scraped from the text.

Is it possible to instruct Maple to obtain these forms?

Maple 17 is very exciting so I am hopeful ....

P.

Hi everyone,

Instead of writing:

a[1] < b[1] or (a[1] = b[1] and a[2] < b[2]) or (a[1] = b[1] and a[2] = b[2] and a[3] < b[3]) or (a[1] = b[1] and a[2] = b[2] and a[3] = b[3] and a[4] < b[4]) or (a[1] = b[1] and a[2] = b[2] and a[3] = b[3] and a[4] = b[4] and a[5] < b[5])...

Is there a more convenient way to do so? Plus, what if a[1] = b[1] and a[2] = b[2] and ... and a[99] = b[99] and a[100] < b[100]? I do not imagine writhing everything.

Thanks for your help. 

In the below calculations, I get some solutions after solving the system. I am not sure if this is done assuming that all the values that are under the radicals are positive or indeed they are positive without further assumptions. I mean can I be sure that each given set of solution is a feasible solution? I suspect that Maple may ignore the assumptions sometimes.  

Please, can someone give me a hand? I can not understand why in the first case the collect command does not work while the second one works correctly. Many thanks for your attention.trasformaziione_equazioni1.mw
 

Download trasformaziione_equazioni1.mw

The following are the equation and plot3d of the minimal surface named Catalan:

Catalan := [alpha-sin(alpha)*cosh(beta), 1-cos(alpha)*cosh(beta), 4*sin((1/2)*alpha)*sinh((1/2)*beta)]
plot3d(Catalan, alpha = 0 .. 2*Pi, beta = -3 .. 3, scaling = constrained, title = "Catalan's surface", titlefont = [Courier, bold, 14])

I would like to color and thicken the edge of this surface to emphasize what I presume is the wire which frames the soap film which forms the surface.

Contourplot3d only shows contours at constant values of the z coordinate, however the plot3d display with style option "surface with line" clearly shows the surface's edge contour, among others.

Given the surface equation, is there any way to display the surface edge programmatically e.g. as a spacecurve? 

Without my knowingly changing any Maple parameters, the execution time values of variables appearing in the window displayed when a DEBUG statement is executed have recently started to be listed at the end of my worksheet.

If I have been doing extensive debugging this list can be quite lengthy and a nuisance to erase.

Why did this listing suddenly begin and how can I stop it?

The following construction of a simple vector of matrices (just a test example)

Vector(2,(a) -> Matrix(2,2,(b,c) -> m||a||b||c));

works in Maple 17, but not in Maple 2017 where the error message "Error, (in Vector[column]) number of elements on right side must match subselection on left side" is produced. Why that?

Update: If no output is prompted, i.e., if the above line is terminated with colon instead of semicolon, then no error is raised. What?!

Hi;
what's the difference between "assuming" and "assume" commands in maple? tell me this problem with example. Thanks.
with regards...

 I'm thinking upload a technical paper into maple cloud, and i would like to keep the intellectual property of this paper or have a mention from the reader if they use it. Is it possible?. Thanks!

I have a parametric equation which want to solve it , but maple does not .

problem.mw

 best regards

Hi guyz,

I have a trouble in expanding the function "p" with respect to "b<<1". After expansion I would like wirite terms with respect to orders of "b". I know the procedure but I can't unfortunately do that for this case. can u give any help?

prob.mw

hi

i want to solve a function which contains below series, but I can't.

SS:=sum(F[k-m]*sum(F[m-L]*sum(F[L-j]*F[j],j=0..L),L=0..m),m=0..k);

or

SS:sum(F[k-m],m=0..k)*sum(F[m-L],L=0..m)*sum(F[L-j]*F[j],j=0..L);

eq:=(-1/(k+1))*(F[k]+0.5*sum((k-m+1)*F[k-m+1]*F[m],m=0..k)+0.05*SS);

n:=8;
for k from 0 to n do
F[k+1]:=solve(eq);
end do;

with the first SS I have gotten a wrong nswer and with the second SS this error has been seen:

Error, (in solve) cannot solve expressions with sum(F[L-j]*F[j], j = 0 .. L) for F[j]

is there qny one hepl me please.

thanks

Why Maple18 cannot solve the system p=(w^2+v*w)/(1-2*u-w) & q=u+w & r=w symbolically by using command

solve({p=(w^2+v*w)/(1-2*u-w),q=u+w,r=w},{u,v,w})? It responds with an error message.

int(ln(x)^n,x)  just returns the integral

Mathematica gives

What other interventions are required to get Maple to produce an answer?