## Incorrect Limit...

This may be something that has been addressed, and I'm certainly not insinuating anything is wrong with Maple; I'm just curious if anyone has any insight about this. Given a positive real number x, the sequence defined by a_n=([x]+[2x]+...+[nx])/n^2, where [x] denotes the greatest integer (or floor) function, converges to x/2, but Maple gives me 0 as the limit (could it have anything to do with the fact that n is not a continuous real variable; I tried assuming(n::integer) without luck). Any ideas? Thanks a lot. Keenan

## solve differential equations...

how do I solve differential equations with maple V?

## invalid base or missing operator or `;`...

h:=0.1: n:=ceil(5.0/h): t:=0.0: y:=2.9: data:=[t,y]: for i from 1 to n do mk := y^2-4y+3: y := y + h*mk: t := t + h: data[i] := [t,y]: od: t:='t': y:='y': h:='h': datalist1 := [ seq( data[i], i=0..n ) ]; plot1:=plot( datalist1, 0..5, 0..4, color=red); display([plot1,plot2]); ok this is what i have typed in...the equation is dy/dt = y^2-4y+3 i am able to plot the direction field but now when i use Euler's method to find a solution with y(0)=2.9 for 0<>

## error every time...

h:=0.1: n:=ceil(5.0/h): t:=0.0: y:=2.9: data:=[t,y]: for i from 1 to n do mk := y^2-4y+3: y := y + h*mk: t := t + h: data[i] := [t,y]: od: t:='t': y:='y': h:='h': datalist1 := [ seq( data[i], i=0..n ) ]; plot1:=plot( datalist1, 0..5, 0..4, color=red); display([plot1,plot2]); ok this is what i have typed in...the equation is dy/dt = y^2-4y+3 i am able to plot the direction field but now when i use Euler's method to find a solution with y(0)=2.9 for 0<>

## how to plot an array?...

I have an array I have defined within Maple - how does one plot the array? I have tried defining a function mapping the index to the element of the array, but it's not clear how to restrict that to integers ... -Monty

## non verbose mode?...

I am trying to create an array for testing the FFT errors within maple. Every time I try to assign values to the 1024-element array, the program prints them all out. Is there any way to turn this off?

## How do I Multiply(expand) a Polynomial and get it'...

How do I multiply(expand) a Polynomial and get it's shortened form? I have a polynomial X^2+a*X+b and I rise it to the power of 2 and multiply by X eg X*(X^2+a*X+b)^2 and I wish to get the answer for this in the form of X^5+2*X^4*a+(a^2+2b)X^3+2*a*X^2*b+X*b^2 as opposed to getting X^5+2*X^4*a+2X^3b+a^2X^3+2*a*X^2*b+X*b^2 Is this possible? At the moment I use the Expand command in maple to generate the answer. I know this is slightly pedantic as maple is returning the correct answer but I need to build a Matrix out of this using quite a few of these polynomials. Any h

## Jordan Form

by: Maple
There was a discussion on comp.soft-sys.maths.maple about how well Maple obtains the Jordan Normal Form of a (square) matrix. LinearAlgebra[JordanForm] is limited to matrices of integers, so it can make severe demands on computer memory; furthermore, in practice, one is often confronted with floating point data. However, linalg[jordan] operates on matrices of both integer and floating point data.

## Outputting values to a file or plot to graph...

I have to following Maple file and from the graph that is plotted the I need to find how far each of the reflected rays falls from a common focus. Is it possible to read the values of the y-intercept of each of the refelcted rays and then either output these to a file or to directly plot a graph showing the distance each ray falls from the common focus. Thanks Download 3259_Mirror.mws
View file details

## Multiplication of Matrices...

This is a personal pet peeve. Let A be a 2x2 matrix with elements 0.5, 0.5, 0.3, 0.7 Find A^2 Repeat with a 2x2 matrix with elements 1/2, 1/2, 3/10, 7/10. Why does the first example give more than 2 decimals? Why is the answer to the first so inaccurate? Is there some library besides LinAlg or LinearAlgebra I should include to handle such rudimentary calcs?

## Maple library inside a module (procedure)...

Hi, It´s possible to call a Maple library from a module or a procedure? I try to use the command with, but Maple don´t accept that. Thank´s João Paulo Laudares

## PDEtools subscript derivative notation lost in Map...

When I use PDEtools in Maple10 to get subscript notation of derivatives it works for equations that are assigned to another variable name. It does not work for equations that are referred to only by their Maple10-generated equation numbers. The sample case below shows the problem. It is an edited Maple-text version. I tried uploading the file, but neither Live Worksheet or HTML copy correctly display. Live Worksheet apparently doesn't access PDEtools, and the HTML copy can't handle equation number references. I can supply the test file to any one who wants it. ------------------------------------------------------------------------------