## Summations involving 0^n...

Dear All, I seem to be having trouble with 0^n in maple, can someone help? Essentially, I have a complex function that simplifies under certain conditions to
f:=1.*0.^n/factorial(n);
but
sum(f,n=0...0);
gives 0. Whereas,
evalf(subs(n=0,f));
gives 1. Any ideas? Thanks Colin

## Maple And The Convergence Of Infinite Series...

Can Maple be used to test infinite series for convergence ? Are the many tests for convergence already built-in Maple ? Thanks, v/r,

## Infinite Sum Question...

Please Help, Show that Sum(1/((2*n-1)*(2*n+1)), n = 1..infinity) = 1/2) Hint. (Show by mathematical induction that s[m] = m/(2*m+1) Thanks, v/r,

## Procedures...

Does anyone know how to write a procedure for simpsons rule using the trapezium rule. I wrote a procedure for the trapezium rule but it wont let me put it in the simpsons rule. Maple keeps saying that local is wrong. Please help!

## piod controller...

i WANT TO DEVELOP A MICROCONTROLLER BASED PID TEMPERATURE CONTROLLER.THE USER WILL SET THE DESIRED TEMPERATURE THROUGH KEYBOARD.I WILL BE USING A TEMPERATURE SENSOR(IC LM35DZ) WHICH WILL BE INPUT TO MICROCONTROLLER 8051 WHICH WILL IMPLEMENT PID ALGORITHM TO CONTROL A RELAY AND HENCE EITHER TURN ON A HEATER OR A COOLER.AN LCD WILL ALSO BE INTERFACED TO DIPLAY THE SET TEMPERATURE AND ACTUAL TEMPERATURE. I DO NOT KNOW THE C CODE FOR THIS.IF ANYONE HAS WORKED ON SUCH KIND OF SYSTEM ,THEN PLEASE SEND ME THE CODE.I WILL BE REALLY VERY GREATFUL

## Does maple has sleep function?...

When I execute a proc of Maple, Can I make the process sleep for several seconds? Just like other programming languages sleep function. Thanks.

## Find tangent...

I have an equation lets say f(x). I derivate it then I need to find the equation of the tangent that touches f(x) at two different places.

## Use Chebyshev approximation for curve fitting....

Hello. Im courius if there is any (easy) way in Maple to do a Chebyshev curve fitting. I havent been using Maple mutch and I cant say that I really understand how the chebyshev approximation works, but i want to do a comparison between the Least Square Criterion (with the funktion: a*x + b) and Polynomial Interpolation and the Chebyshev Approximation (with the exp: a*x + b). The Least Square and the Polynomial are both options in the Curve Fitting Assistant (in Maple 11), but not the Chebyshev (is it becouse its somehow inferior to the least square?). And by the way, please note if I write anything wrong (spelling, grammar, etc etc..). English is not my native language.

## Plot a sequence...

I just got this problem and I don't know how to plot it. Plot the first 300 terms of the sequence a(1) = 0.8, a(n+1) = 4a(n)(1-a(n)). I can tell maple to calculate the first 300 terms, but I don't know how to graph it. this is the command i used for calculating those terms. for n from 1 to 300 do a(n+1):=4*a(n)*(1-a(n));od;

## Implicit differentiation (finding extreme values)...

Hello, I have a problem with this implicit equation: > eq:=(x^2+4*y)^2+(x+y^2)^2=65 I can find the tangent line for a point on the curve, e.g. (-2,1). This is the slope on the point. > a:=subs(y=1,x=-2,implicitdiff(eq,y,x)); It will give this tangent line. > tanline:=a*(x+2)+1; Here's a plot: But now I want to find the locations of its extreme values. That's where I got stuck. The tangent line must be horizontal so dy/dx = 0. So I have to the implicit equation for the condition dy/dx=0. For explicit functions it's not that hard, e.g.:

## Solve equations system...

> p:=x->log[b](x); p := x -> log[b](x) > o:=x->b^x; x o := x -> b > fsolve( p(x) = o(x) , {x,b} ); Error, (in fsolve) number of equations, 1, does not match number of variables, 2 I need to find the location (x,y) where they touch each other, thanks for the help.

## Getting numerical results when using symbols?...

What do I have to change in the settings to get numerical results from simple expressions using symbols? In other words, when I enter something like 2 x pi or e, I want the numerical answer, or rather something that reads 6.28... As it is, it just returns 2 x pi again.