## How to force Typeset mode printing of a 3x3 matrix...

I have a 3x3 matrix that has large expressions for some of the elements. Within Maple it displays correctly in Typeset mode with two large brackets defining the matrix. When I print the workbook this matrix prints in Maple text format with lots of nested [...]. Smaller 3x3 matrices print in Typeset mode just fine. What governs when Maple switches from printing matrices in Typeset mode to Maple text mode? Is there any way I can force a matrix that displays properly in Typeset mode to print properly in Typeset mode? Any help would be greatly appreciated. Thanks, Neill Smith

## Nonlinear ODE...

How do I solve an equation such as this: (diff(V(t),t))^n*(V(t)+Vp)+(diff(V(t),t))^(n+B)*(V(t)*A1+Vp*A2)=C boundry: V(0)=0 I want to solve this equation bz numeric methods. But Maple don=t want to solve.

## 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
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## 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?