Maple 13 Questions and Posts

These are Posts and Questions associated with the product, Maple 13

I am having trouble identifying all the possible roots existing in the range specified.

In the file attached i have a non-linear set of equations that are solved for "w" value specified...but fsolve provides solutions only at certain values of "w" , does it mean there is no solution for other data points ?...or is there a way to find out all possible solutions for each value of "w"

Question_primes.mw

HI,

I want to make a program that will list the twin primes.  Is it possible to implement the isprime function in C?  I want to be able to run this program on a computer that doesn't have Maple installed.  Here is my code -

twinprimes := proc (maxnum)
local a;
description "output the twin primes less than maxnum";
printf("%12d", 3);
for a from 6 by 6 to maxnum do
if `and`(isprime(a-1) = true, isprime(a+1) = true)
then printf("%12d", a-1) end if

Why Maple can't solve ? The reason would be enough, if nobody can solve.

 

sys_of_eqs.mw

 

Thanks.

I asked a question few hours ago. I corrected the error in the process I was suggested. How in writing the program to collect the coefficients of m^0, m^1 and m^2, I am again stuck in an error and could not find any help.

restart; N := 2

Eq[1] := diff(f(eta), `$`(eta, 3))+(m+4)*f(eta)*(diff(f(eta), `$`(eta, 2)))-(2*(m+1))*(diff(f(eta), eta))^2-(2*(m+1))*h(eta)-(.5*(m-2))*eta*(diff(h(eta), eta))

Eq[2] := g(eta)-(diff(h(eta), eta))

Eq[3] := (diff(g(eta...

I have a system of three non-linear coupled ODEs. I am trying to obtain the zeroth order, first order and second order equations and their boundary conditions using the perturbation technique. I then need to solve them. I wrote the following MAPLE lines for the purpose.

restart; N := 2

Eq[1] := diff(f(eta), `$`(eta, 3))+(m+4)*f(eta)*(diff(f(eta), `$`(eta, 2)))-(2*(m+1))*(diff(f(eta), eta))^2-(2*(m+1))*h(eta)-(.5*(m-2))*eta*(diff(h(eta), eta))

Eq[2] := g(eta)-(diff(h(eta), eta))

I have below outlined the different probabilities for different poker hands given
5 cards from a 52 cards deck. The frequencies are from wikipedia
http://en.wikipedia.org/wiki/Poker_probability




These frequencies are quite interesting....I wonder if they found them by "brute fource"

Dear,

I have problem that after using assume(...) and then use label such as (1.1)... then the assumptions are lost. Is it a bug?

Below is my attached worksheet (I used Maple 13 , I don't know if later version is better?)

label_and_assume.mw

Actually , the lost of assumptions will cause some problems such as make integration become unevaluated.... and will take you a hard time to debug...

After I excute : x^2+2*x+1;   and right click on the output then I saw the CompleteSquare option in the Context Menu but after I write  assume(x>0); and then right click on the output of x^2+2*x+1; then I didn't see this option (and there are only a few options appeared in the Context Menu compared to the case before using assume()). 

Sometimes It cause some inconvenience for me since I used Context Menu on outputs from previous lines in my worksheet...

problem := ur+dr, {con1, con4, con5}, seq(w[i] = 0 .. 1, i = 1 .. N):
problem_matrix_form := Optimization:-Convert:-AlgebraicForm:-LPToMatrix(problem):

Optimization:-LPSolve(problem, maximize = true);
Optimization:-LPSolve(problem_matrix_form[2 .. 4], maximize = true);



The above trick-conversion method works for all LP and QP problems
However it does not work on NLP problems. I have attached the workshet

Why do I get this error message:


X := proc (a, b) local w, V, i, E, s; global Nr, sampvar, u;

w := sampvar*(1-a-b);     V[2] := u[1]^2;

if w = 0 then w := 0.1e-4 end if;

for i from 3 to Nr-1 do V[i] := w+a*u[i-1]^2+b*V[i-1] end do;

for i from 2 to Nr-1 do E[i] := -(1/2)*ln(V[i]^2)-u[i]^2/V[i] end do;

s[1] := 0;   for i from 2 to Nr-1 do s[i] := s[i-1]+E[i] end do;

s[Nr-1]

end proc:

I wrote a procedure that solves a volterra integral equation numerically. This procedure  takes N , number of radial basis functions, as parameter  .the problem is:Error,  bad index into Matrix

How can I fix this problem?

here is my procedure:



hi, could You help me to write script(program) with maple( maple 13) exercise....?

1) The velocity of a freely falling object near Earth's surface is described by the equation
dv/dt=-g     (1.1)
where v is the velocity, g=9.8m/s^2 . Write a program that employs the Euler method to compute to solution to (1.1); that is, calculate v as a function of t. For simpilicity, assume that the initial velocity is zero-that is, the object starts from rest-and...

So, I am reading the blog post about Mean Absolute Deviation portfolio optimization that

http://yetanothermathprogrammingconsultant.blogspot.com/2010/04/portfolio-from-qp-to-lp.html

 

claims that the traditional portfolio optimization problem can be expressed as seen below:

I am not sure however that it is 100% correct for example you have (r[i,t...



A := 0.5e-1:

I am trying to evaluate integral (-1/rho)*del (p)/del (x) dy within the limits y=0 to y=delta (x). For that I first evaluated (-1/rho)*del (p)/del (x) and stored it in res2. Then I tried to integrate it w.r.t dy within limits 0 to delta (x). I wrote the following Maple lines for the purpose:

Te := proc (x, y) options operator, arrow; T[inf]+(T[w]-T[inf])*(1-y/delta[t](x))^2/(1+2*A*H/delta[t](x)) end proc

PDE := diff(P(x, y), y)-rho*g*beta*(Te(x, y)-T[inf]) = 0

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