## Laurent series...

Hello to everybody, I am a new user and I am a bit confused. I have a smooth plane curve f(x,y)=0 defined over a finite field k and containing (0,0). x is a local parameter at (0,0). The local ring (k[x,y]/(f))_(x,y) can be viewe inside the Laurent series field k((x)). How can I compute the expansion of an element of (k[x,y]/(f))_(x,y) in k((x))? Which packages should I use? I have Maple 9. Thank you, Paola

## Create Piecewise from Coefficient Matrix...

So I have a matrix that contains coefficients for polynomial functions and bounds for where each polynomial is defined. How do I make a piecewise out of this automatically? I could enter them by hand but the number of functions can be as high as 100. FOr example, The first row of the coefficient matrix may contain the numbers 1,2,3,4,10,11 where 1,2,3 4 would be the coefficients of the first polynomial and it would be defined from 10 to 11. Thus, if I were to enter it by hand it would look something like this: f:=x->piecwise(x>10 and x

## Best Action to follow?...

I am a high school math teacher with a subject degree. I have enrolled in a Calculus on the computer class and the course requirements required me to get maple 10. I was excited to get it. As I went through my calculus classes I don't believe maple was around. Anyway, the math of the subject is extremely easy as it should be. The hardest thing is getting the syntax of the commands. Remembering to put the ; at the end and stuff like that but im trudging through. The reason for this email is this. I am highly considering Maple 11 in the fact that it allows text and stuff on the plots. So with this in mind I am also not seeing the way that I can learn this program well enough to make it useful in my classroom. I would absolutely love to use it for my classroom. I just don't see how to make it look good with the combination text and math in the worksheet view or even getting the document view going. I am a real newbie to this program and want to do so much more with this program. Is there anything that you'll can suggest?

## How do I......

How can I find a 5x5 symmetric tridiagonal T matrix with eigenvalues that equals with the zero points of the fifth T5(x) Chebyshev polynom. I'm sure it is easy but I'm just a student and I would appriciate any help. Thenk you in advance. P.S.: A solution using orthogonal polynoms would be even more appriciated.

## Bafflingly trivial: how do I calculate to more tha...

This is driving me crazy. I've searched here, online in general, and all the help files, but obviously it's so simple no one has ever bothered to explain it before! I'm a pretty naive Maple user, but I've been using it just fine to run some relatively simple numerical simulations. I've narrowed the problem down to this: 1.000000005 - 1 gives 5.10^-9 but 1.0000000005 - 1 gives 0 Clearly some rounding is taking place here. I've tried playing (systematically!) with all the options under tools>options>precision, but none of them seem to help. What am I missing?

## Compiling in Command Line MAPLE...

I have recently been informed by people on this forum of the usefulness of Command Line MAPLE when compiling large programs. Thanks once again. As a test program I used WordPad to create f:= proc(x); x*5; end proc; then saved this as TestProc.mpl in C:\Program Files\Maple11 I then gave Command Line Maple the following commands > read "TestProc.mpl"; > f(x); and got the result 35, which I was hoping for. In a new command line session, I did the following... > interface(verboseproc=2); > writeto "BesselJ.mpl" > eval(BesselJ); > writeto (terminal); I then closed the session, picked up "BesselJ.mpl" with WordPad. I changed replaced every occurence of BesselJ with BJ2, stuck "BJ2 := " in front of the text and then saved it. Then I went back into command line Maple and did this

## random datasets...

how can i create datasets for random number?i want to plot histogram from random number..

## End dsolve calculations when a variable is less th...

I am using dsolve(numeric,number=12,procedure=solproc,start=0,initial=ic,procvars=dvars,output=Vector(50, (i -> i/10.))): to solve for position from a set of motion equation and it works very nicely. Is there any way to end the dsolve procedure before all the time steps have been calculated if a specified variable is less than a specified value? I know I could run dsolve to find the time at which the variable has the specified value and then rerun with the specified time value but calculation times are lengthy so I don't want to double the time.

## Attempted Compile locks up MAPLE11...

In order to further my understanding of the subtleties of the MAPLE programming language, I attempted to fool around with the code of one the the MAPLE procedures, specifically BesselJ(nu,x). I set interface(verboseproc=2) then I executed the command eval(BesselJ) and got, as output, the code of the procedure. I then copied the code to an input prompt and then in front of the code I put BesselJ:= When I attempted to compile this code I locked up MAPLE. I have an idea of what was happening. The code contains the statement BesselJ(nu,x):=0 and when MAPLE encounters this kind of construction it wants to know whether this should be interpreted as function construction of remember table assignment. Unfortunately, there was so much code being compiled that the box that appeared in the middle of the screen extended from the top to the bottom of the screen. The check boxes were out in space some where below the screen so there was no way I could get to them. So MAPLE kept waiting for an input that I had no way of giving it, and my only remedy was ctrl-alt-delete and then telling WINDOWS to shut down MAPLE. This happened on 2 different computers. I wonder if there is anyone out there who could help me with a workaround for this.

## Examples of maple.ini files...

I was curious about what people put in their maple.ini files. For example, here is mine. ``` interface(verboseproc=2): kernelopts(assertlevel=2): kernelopts(gcfreq=10000000): Testzero:= proc(O) evalb(simplify(O)=0) end proc: _Envsignum0:= 0: DataSummary:= (Statistics:-DataSummary)@(x->`if`(type(x, 'Array'), x, Array(x))): ``` Would anyone have comments on this? What code do others use?

## How can I S/L files in Vista?...

I installed Maple 11 on Vista Business 32bit version. I couldn't even save or load worksheet files!!! Does anybody get the same problem as I ? Thanks.

## Detecting increasing / decreasing functions...

I know I have done this before, but I'm not having any luck today. I am using Maple 10. I want to check if a user-entered function is positive for values in a bounded or unbounded interval. I do not want to do too much that is fancy, just functions that are likely to show up in the integral test for convergence of a series. Specific question: How can I get Maple to report that 1/sqrt(k) is decreasing for all k>1? I have tried working with both sqrt and surd, and with various assumptions. But, nothing gives a useful result.
```f := 1/sqrt(k);       # no information
solve( diff(f,k)```

## Problem of solving lots of cubic functions with ma...

Hi, I have a task and I haven't found a good way to work with it. I need to solve cubic functions like this a*x^3+b*x^2+c*x+d=0, where a,b,c,d are calculated from other data by excel, thus can be changed if I changed other parameters. So I have to solve every cubic function defined by these {a,b,c,d} data. And the nature of the experiment need only positive rational root. First I tried to use maple addin for excel. The problem is, it seemed that maple addin doesn't support multiple parameters for expression. For example, it's ok to use =maple("&1*2",A1), but I can't use =maple("solve(&1*x^3+&2*x^2+&3*x+&4,x)",A2:D2). Is it possible to calculate an expression from multiple cell data?

## How to define a sequence of Vectors?...

I want to define a sequence of Vectors,for example ,n Vectors just as a1,a2,a3..an.How to do? Thanks!