use taylor function need to specify its limit

if we do not know its limit, 

how to know whether a function is finite in taylor expression

for example poincare series

1/((1+x)*(1+x^2))

how to display as taylor series without specify the limit of degree

because do not want to approximate poincare series with taylor 

want a complete taylor series

goal is to find the polynomials which degree are 1 and 2 in above example

Strings := {"buffalo", "zebra", "aardvark", "aardwolf", "anteater", "antelope", "bumblebee"};
{"buffalo", "zebra", "aardvark", "aardwolf", "anteater",

"antelope", "bumblebee"}
CP := {seq(seq(StringTools:-Take(x, StringTools:-CommonPrefix(x, y)), x in Strings), y in Strings)};
P := table(map(proc (x) options operator, arrow; x = "" end proc, Strings));
for x in CP do for y in `minus`(CP, {x}) do if `and`(StringTools*IsPrefix(y, x), `implies`(assigned(P[x]), StringTools*IsPrefix(P[x], y))) then P[x] := y end if end do end do;
Error, cannot determine if this expression is true or false: StringTools*IsPrefix("a", "")

Hi I tried to apply these command in maple to see hoe cluster graphic after that can work .. but i face this problem ,

I am a begginer in maple working on it for a term paper to demonstrate it is ability to view the cluster analysis .

if u have any benefcial resources I ll be so happy.

thanks very much

How would one in Maple solve this, which is an inequality equation in some variables, which can be nonlinear, with constraints on range of each variable. I.e. I want to find conditions on the variables to make the inequality satisfied.

In Mathematica, I use the Reduce command

Clear[x, y];
eq = 1/2 - x + x^2 - y + y^2;
Reduce[{eq > 0, 0 < x < 1 && 0 < y < 1}, {x, y}, Reals]

How would one do the same in Maple? I tried solve, but can't give constraints.

restart;
eq:=1/2 -x+x^2-y+y^2:
solve(eq>0 , {x1, x2});

So I need to do the same as in the Mathematica command, but in Maple. I do not want numerical solution, but algebraic as shown above.

Using Maple 18.2 on windows.

x_1 = 1;

x_n = 1/2 (x_n-1 + 3/x_n-1 ) for n>=2

Is there a maple command to check if the above statement is rational, eventhough it is obvious enough?

I tried to evaluate x_2 using subs(n=2, x_n) but keep getting an expression in terms of x_1. Using evalf(x_2), the result was x_2.

I'm very new to maple, so please help :(

Hello people in mapleprimes,

I want to ask a question about modification of expression.

Basically, what I want to do is to change the expression of sqrt((-a)^2) to sqrt(a^2).

The expression I want to modify is this:

aa:=phi[n, j] = a[j, D]-a-sqrt((-a[j, D]+a+tau[n, j])^2+4*gamma*f[c, n, j]/L[j])

I want to change this to 

phi[n, j] = a[j, D]-a-sqrt((a[j, D]-a-tau[n, j])^2+4*gamma*f[c, n, j]/L[j])

To do this, I wrote as 

subs(sqrt((-a[j, D]+a+tau[n, j])^2+4*gamma*f[c, n, j]/L[j]) = sqrt((a[j, D]-a-tau[n, j])^2+4*gamma*f[c, n, j]/L[j]), phi[n, j] = a[j, D]-a-((-a[j, D]+a+tau[n, j])^2+4*gamma*f[c, n, j]/L[j])^(1/2))

Or, I wrote as 

subs(op([2,3,2,1,1],aa)=(a[j, D]-a-tau[n, j])^2,aa)

If there is better ways, please tell me them.

Best wishes.

taro

AoA. Hope you will be fine. I want to factorize 2046 as

2046=2*1023

but maple gives

ifactor(2046)=11*(2*3)*31

PhD (Scholar)
Department of Mathematics

I have the following system I need to solve:

dy(t)/dt = alpha(t)-y(t)

alpha(t)=alpha0*(x(t)-x0)

dx(t)/dt=y(t)-beta(t)

beta(t)=beta0*(x(t)-x0)

 I am trying to get functions of y(t) and x(t), so I can plot y(t), x(t) and alpha(t) as it changes over time.

I have tried using dsolve to no effect.  I define the inital conditions, I define the functions I am looking for and when I press enter dsolve doesn't return anything.  I also know all the constants and defined them as well.

Thank you.

I am trying to simplify the eigenvalues of a 2x2 matrix [[a,b],[c,d]] subject to the condition a,b,c, and d are integers such that a+b = c+d. Why do the following commands not achieve this?

with(LinearAlgebra):

A:=Matrix[[a,b],[c,d]]):

Eigenvalues(A) assuming a::integer,b::integer,c::integer,d::integer,a+b=d+c

How might I achieve what I need?

Hello,

I'm trying to calculate the time fro my brachistochrone problem.  An object travels from A(0,a) to B(b,0)

a=7 and b=10

I've already found the parametric version:

x(t)=0.5c(t-sin(t) 

y(t)=a-0.5c(1-cos(t))

c= 7.039837581

I cant get it right in maple:

restart; a := 7; b := 10; g := 9.81; eq1 := .5*r*(u-sin(u)) = a; eq2 := a-.5*r*(1-cos(u)) = b; sol := fsolve({eq1, eq2}, {r, u}); r0, u0 := op(subs(sol, [r, u])); x := proc (u) options operator, arrow; .5*r0*(u-sin(u)) end proc; y := proc (u) options operator, arrow; a+(-1)*.5*r0*(1-cos(u)) end proc; plot([x(u), y(u), u = 0 .. u0]); Int(sqrt((diff(x(u), u))^2+(diff(y(u), u))^2)/sqrt(-2*g*y(u)), u = 0 .. u0); evalf(%)

I would be grateful if anyone would comment on the compatibility of Maple 18 and MacOS 10.10 (Yosemite).

without specify the characteristic,

what is the default characteristic used in hilbert series?

I have been having trouble converting the default slew rate unit from Unit('m'^2*'kg'/('s'^4*'A'))

to V/us (Volts per microsecond)

I trying to get to a point where I can define the slew rate and the result will be in terms of V/us.

Similarly, how can I change the output result from 1/s to Hz?

Hi there

How can I enter an arbitrary partition on an interval for calculating a Riemann sum by Maple 13?please write the concerning command.

Regards

Yegan

Hello everybody,

I will start a course in mastering QM in a MOOC format (Massive Open Online Course).  Up to now, I always do the calculation by hand and sometimes with the LinearAlgebra package.  But now I need to do the calculation more rapidly.  So I decided to learn how to use this package for this course.

The help system give a too generalized way to do it.  Even by looking the example, I didn't find praticle example to it.  So is there a generous person who could take a little bit of hi time to show me how to do it by using an exemple that yo will find attach to this post.

Thank you in advance for your trouble.

Besgt regards.

quantum_mechanics_DIRAC.mw

--------------------------------------
Mario Lemelin

Maple 18.2 Win 7 and Ubuntu 14.04 - 64 bits
MapleSim 7 Win 7 and Ubuntu 14.04 - 64 bits
messagerie : mario.lemelin@cgocable.ca
téléphone :  (819) 376-0987

How to write a procedure to find the product of two different primes