## Pi as an axis label...

How do I get the Pi symbol to be a label on an axis. I know how to do labels, my only problem is getting symbols to appear as a label. Thanks in advance, -Greg

## ODE BVP...

There are two equations f'''+1/2*f*f''=0 and g'''+1/2*g*g''=0 boundary value f(0)=0 g(0)=0 f'(0)=g'(0)(is not zero) f''(0)=g''(0) f'(4)=1 g'(-4)=0.5 Because of two coupled boundary value (f'(0)=g'(0, f''(0)=g''(0)), it is difficult to solve. Could you tell me how to solve this equation using matlab? Thanks.

## help with numerical answer to maple expression...

Hello, I have the following maple expression (sorry, it is somewhat lengthy)

e_x0 :=

4*ep^2*sin(m*Pi/b*y)*sin(n*Pi/c*z)*J0*(x1-x0)*(-cos(n*Pi/c*z1)+cos(n*Pi/c*z0))*(-cos(m*Pi/b*y1)+cos(m*Pi/b*

y0))/((2*m^2*Pi^4*c^2*n^2*b^2+n^4*Pi^4*b^4+8*Pi^4*m^4*c^4*Q^2+16*Pi^4*m^4*c^4*Q^4+16*k^4*b^4*c^4*Q^4+8*m^2*

Pi^2*c^4*k^2*b^2*Q^2-32*Pi^2*n^2*b^4*Q^4*k^2*c^2+8*n^2*Pi^2*b^4*k^2*c^2*Q^2+m^4*Pi^4*c^4-32*Pi^2*m^2*c^4*Q^

4*k^2*b^2+16*Pi^4*m^2*c^2*Q^2*n^2*b^2+8*Pi^4*n^4*b^4*Q^2+32*Pi^4*m^2*c^2*Q^4*n^2*b^2+16*Pi^4*n^4*b^4*Q^4)/b

^4/c^4/Q^4)^(1/2)/a/m/Pi^2/n;

and the input parameters are

## Stripping units...

Can someone please explain the rational behind why this works. b := seq(x^2*Unit('m'), x = 1 .. 5); 1[m],4[m],9[m],16[m],25[m] eval(b, Unit = 1); 1, 4, 9, 16, 25 I use this method but never understood why it works. why does using Unit=1 strip the units? Thanks, DG

## Liblip problem - Loss of Kernel connection...

Hello all. I am have recently gotten help in here, where it was suggested to me that i used Liblip to interpolate my 3d datasets. This has worked fine after i figured out how to make it work. I have however now encountered a problem with the LipIntSmoothLipschitz command, where on the latest dataset i am running, it makes a memory drain which ultimately after a long data accumulation, results in Kernel connection loss. I hope someone has an idea of what is wrong. My loaded data is assigned like this: First line: 2 (number of dimensions), 1852 (number of lines) Second line and below: X Y Z (In first part sorted by increasin Y) Here is my setup (Have made notes in, and at the bottom of worksheet):

## Serious Help needed !!!.....

Hi everyone - I have two problems Im really hoping someone can help me understand how to overcome (I have spent hours and hours going round and round in circles!) Firstly the topic is square pyramid numbers i.e (1), (1+4), (1+4+9), (1+4+9+16), .. etc Im trying to come up with a program that will see a procedure, nPyrLayers(), which says which "layer" of a pyramid a number is.. i.e 5 is the 2nd layer, 14 is the 3rd and then draw a pyramid. I can build the pyramids with blocks (cubes) myself, I can find the nPyrLayers number, but I cant come up with a program that will draw ANY pyramid for any layer USING nPyrLayers... Is there a program I could write that could see "nPyrLayers" and then draw the pyramid with blocks itself?

I am trying to create a plot for two differential equations but I'm not getting any graphs with the commands below. I'm not sure what's causing the problem and I've tried everything I can think of. Please help if you can. a := 2*ln(2) b := 1/5*ln(2) dose := proc (t) options operator, arrow; sum(2*Heaviside(t-6*n)-2*Heaviside(t-6*n-1/2), n = 0 .. 10) end proc J:=DEplot([diff(x(t), t) = dose(t)-a*x, diff(y(t), t) = a*x-b*y], [x, y], 0 .. 50, {[0, 0, 0]}, stepsize = .5, scene = ([t, x])) K:=DEplot([diff(x(t), t) = dose(t)-a*x, diff(y(t), t) = a*x-b*y], [x, y], 0 .. 50, {[0, 0, 0]}, stepsize = .5, scene = ([t, y]))

## Manipulate plot3d polygons...

Suppose I generate a PLOT3D structure by p:= plot3d(f(x,y),x=-1..1,y=-1..1,grid=[3,3]): p2 := convert( p, POLYGONS ); Now I want to go through these polygons and throw away those that have a vertex far away from the origin (say more than 10 units), and then redisplay the trimmed structure. Is there a snazzy way to do this?

## error, cannot open archive, /home/salvatore/maple1...

Hi, I use maple 11 on linux ubuntu. When I try to save a package that I've done, with the lines: mypackage:=module() global... export... option package; BODY end module(); savelib(mypackage) or savelib('mypackage') maple return the error "error, cannot open archive, /home/salvatore/maple11/lib/, for writing" the address is the good one (I can load all the preexistent package). Someone can help me? Tk you S.

## Formatting and printing in M11 passing from classi...

Usually I work with classical interface, but the java interface has some nice features which I want to use for printing. Thus I open my *.mws worksheet as a *.mw and want to do just that. However I have some problems, may be I am just too awkward here: 1. My mws output is 2 D and always non-italic, however in mw it tasteless shows up as italic. I tried to change that, but there exists no way just to say it to the character (one only can activate a check box to *make* it italic, not conversely). The only way was to select all the sheet and then de-activate italic through the menu bar.

## Eye strain

by: Maple
I find that reading lots of help pages causes eye strain. A way of reducing this that works for me is to change the background color of the help pages from white to yellow. This can be done by setting HelpBGColor=255,255,224 in the ini file. On Windows XP the ini file will be found at C:\Documents and Settings\Joe User\maple9.ini or maple10.ini. For Maple 11, the file can be found at C:\Documents and Settings\Joe User\Local Settings\Application Data\Maple\11\maple.ini

## Solving symbolically a well behaved linear system ...

I solve recursively a series of linear systems of ever increasing number of unknowns, proven to have a unique solution, each of which is expressed as a function of all the previous unknowns. So Y[i]=sum(c[i][j]*X[i][j],j=1..nops(X[i])), and most c[i][j]'s are nonzero. I successfully used solve(Y[i],X[i]) and SolveTools[Linear](Y[i],X[i]) to get each Y[i] solution but, as i increases, the solution time increases exponentially. For example, in my system (P4 2.66GHz, 2GB RAM) solving a system of 15 variables takes about 6 seconds, while one of 21 variables needs about 250 seconds! Is this to be expected? I need to solve to about 40 variables this way but it doesn't seem possible with solution time increasing at this rate.