when solving a system of equations, I want to get rid of all the absolute functions.

for example, |y-2|=x，I don't want maple solve this equation directly...because maple may has difficulties when dealing with absolute values. Instead, I want to transform this equation by squaring the both sides at the same time which end up this equation: (y-2)^2=x^2.

The example I provide is kind of simple...what if there are multiple absolute term in the equations? Is there a general way to get what I need? Or Is it practical to use Maple to achive such thing?

thanks in advance.

Hello Everyone

I have an expression which I wish to integrate. I would be grateful if you could please help me with it. I have uploaded the maple file for your refrence.

Thanks a lot for your time.

IntegrationExample.mw

g:=Groebner:-Basis([a-2.0*b,b-2], plex);

Groebner:-Reduce(a, g, plex); 

Error, (in content/polynom) general case of floats not handled

How to solve this problem simply？

bags.mw

$15 is spread among four different bags. How  can you can make any whole number of dollars from $1 to $15 by selecting some of these bags of money, without taking any money out of the bags.
 
How is the money distributed ?

One bag must have $1 in it.
To be able to make $2, and each bag is different, so one bag must have $2 in it.
 can now make $3, but can’t make $4, so the third bag must have $4 in it.
With $1, $2 and $4 in three bags, can make every total up to $7. The last bag has the rest of his money in it – $8.

so the answer is $[1,2,4,8]

wondering how to do this with maple procedure. unsurprisingly my code doesn't work

Why nothing changes?

Derive the orbit of the Moon around the Earth by doing a Verlet algorith of Molecular Dynamics simulation. Use one hour for your step τ. Place the stationary Earth at the origin of the Cartesian system. For initial conditions, use the position and the speed of the Moon when it is at its apogee (furthest from Earth). Plot the orbit.

This problem has real world applicability: Three vampires and three maidens are at the foot of a tall building and wish to get to the bar on the top floor.  The lift only holds two people (for convenience I am classing vampires as people), and needs one person to operate it.  If ever the vampires outnumber the maidens at any place, they will do something unspeakable.  How can the vampires and maidens all safety get to the top in the minimum of moves?  http://tonysmaths.blogspot.com.au/2012/05/vampires-and-maidens-problem.html

can this be solved procedurally or using optimization package?

possible manual soln:

No. m>= No. v

3m+3v, 0   [0]

2m+2v,m+v [1]

3m+2v,v  [2]

     3m, 3v [3]

3m+v , 2v  [4]

m+v  , 2m+2v [5]

#then reverse the steps

2m+2v, m+v [6]

       2v, 3m+v [7]

       3v, 3m  [8]

        v , 3m+2v [9]

    m+v, 2m+2v [10]

        0, 3m+3v [11]

can i use maple to get all the roots in a given expression?

for example: i have a expression "(2b+c)^(1/2)+c-(c-2b)^(1/3)"

and I want to get a list that contains "(2b+c)^(1/2)" and "(c-2b)^(1/3)"

is there any maple commands i can play with?

assume x,y is a real number and {x>4,y>4}, how can i get the supplementary set ({x<=4,y<=4}) of x,y in the real domain by maple?

I am trying to understand how maple "isprime" algorithm works. But I can't find anywhere what special_primes means.

 showstat(isprime);

isprime := proc(n)
local btor, nr, p, r;
   1   if not type(n,'integer') then
   2     if type(n,('complex')('numeric')) then
   3       error "argument must be an integer"
         else
   4       return 'isprime(n)'
         end if
       end if;
   5   if n < 2 then
   6     return false
       elif member(n,isprime:-special_primes) then
   7     return true
       elif igcd(2305567963945518424753102147331756070,n) <> 1 then
   8     return false
       elif n < 10201 then
   9     return true
       elif igcd(8496969489233418110532339909187349965926062586648932736611545426342203893270769390909069477309509137509786917118668028861499333825097682386722983737962963066757674131126736578936440788157186969893730633113066478620448624949257324022627395437363639038752608166758661255956834630697220447512298848222228550062683786342519960225996301315945644470064720696621750477244528915927867113,n) <> 1 then
  10     return false
       elif n < 1018081 then
  11     return true
       else
  12     r := gmp_isprime(n);
  13     if not r or n <= 5000000000 then
  14       return r
         end if;
  15     nr := igcd(408410100000,n-1);
  16     nr := igcd(nr^5,n-1);
  17     r := iquo(n-1,nr);
  18     btor := modp(('power')(2,r),n);
  19     if cyclotest(n,btor,2,r) = false or irem(nr,3) = 0 and cyclotest(n,btor,3,r) = false or irem(nr,5) = 0 and cyclotest(n,btor,5,r) = false or irem(nr,7) = 0 and cyclotest(n,btor,7,r) = false then
  20       return false
         end if;
  21     if isqrt(n)^2 = n then
  22       return false
         end if;
  23     for p from 3 while numtheory:-jacobi(p^2-4,n) <> -1 do
  24       NULL
         end do;
  25     return evalb(TraceModQF(p,n+1,n) = [2, p])
       end if
end proc

1. Work with the function 

f(x) = 5x^2-125/x^2-16

1. Find the horizontal asymptotes
2. Draw the graph of the function.  Show all horizontal and vertical asymptotes on your graph.  Edit the domain and the range to get a “good window” that clearly shows the shape of the function and all the important features, such as zeros, intercepts, maxima and minima, horizontal and vertical asymptotes. 

Any suggestions (or perhaps related examples?) illustrating how I might numerically solve for f(t) in the following non-linear integral equation?  In Fortran, I would start with a guess f(t)=T0, and then search in the neighborhood for a minimum (in the error), but I am not familiar with numerical searches and methods in Maple.  Thank you for any suggestions or leads.

(a,b,... etc are all real)

Download Integraleqn.mw

Why can't I run a produce on the Maple IDE? I can't add Maple environment to Maple IDE. The error is this.

License expires in 29 days
|\^/| Maple 18 (X86 64 WINDOWS)
._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2014
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
| Type ? for help.
Error: EnvUtils:-KernelSummary("could not validate license %1, required by %2. Please check the Install.html file under the toolbox directory for instructions on how to activate a license.\nLicense manager error: %3")
memory used=0.7MB, alloc=8.3MB, time=0.11

Why does the following not work?

factors(x^4-1)

hi,

 I solved  the laplace equation(pde) in spherical cordinates(in my problem tempreture is steady and azimuthal(theta) asymmetry,so my data is a simple function of "phi".)

but I'm really confused,how to make a contour plot of this data on the surface of the sphere where only each point of (phi)axis has a corresponding data value> "simplify(u(1,phi))"?? [the code with the data "u" is attached]

plzz help me soon and abit simple for a newbie,tnX alot. 

Download ques.mwques.mw