## Maple guide...

Is there any source at maplesoft.com that gives a comprehensive guide as to how to use Maple 10. I didn't like the Maple user manual one can download from the site. Thanks in advance !!

## pi versus the Pi symbol...

I am new to Maple 10. When I enter cos(pi) I get cos(pi symbol) as the output. WHen I enter cos(pi symbol) I get -1 as the output. Why doesn't Maple recognize pi as the pi symbol and get me -1? Also I get error with the following but it works when I use the pi symbol instead of pi: plot([sin(x),cos(x)],x=0..2*pi) Can't Maple tell theat pi is same as the pi symbol.

## Error using the LLL operation...

I am getting an Invalid Arguments error when I try to perform the following operation. ```LLL([[N^2,0,N*b,0,b^2,0],[0,N^2*X,N*a*X,N*X*b,2*a*X*b,X*b^2],[0,0,N*X^2,N*X^2*a,(2*b+a^2)*X^2,2*a*X^2*b],[0,0,0,N*X^3,2*X^3*a,(2*b+a^2)*X^3],[0,0,0,0,X^4,2*X^4*a],[0,0,0,0,0,X^5]]); Error, (in IntegerRelations:-LLL) invalid arguments``` I'm not sure what is causing this. It is a valid matrix. Any help would be greatly appreciated.

## Maple Printing Tricks...

I have just now tried to print a document from Maple, and have discovered that it is not very simple. My main question is: why does Maple print items such as legends of plots when in the document I have checked that I do not want the legend shown? There are other examples, but they are fairly similar. Jack

## How could I create *.mwz files?...

Hello, I have seen some Maple ebooks that use a *.mwz files. It requires a key to open them. I would like to be able to create this too. Could you help me please? Thank you Vladimir

Hi all, I'm scratching my head over the logic behind Maple's (I'm using version 10) overloaded operators. Consider the code attached below, it is a verbatim copy of the operator overloading example from the Maple online help. Using this example, it calculates the product of two quaternions, which yields the correct result, and then the dot product of two quaternion-valued 'LinearAlgebra,Vector's -- resulting in the unevaluated product of two quaternions, in the wrong order to boot: ``` > a := Quaternion(0,1,0,0): > b := Quaternion(0,0,1,0): > > A := Transpose(Vector([a])): ```

## 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[0]:=[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[0]:=[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<>