       Re: How to save time with InequalitySolve

• To: mathgroup at smc.vnet.net
• Subject: [mg30326] Re: [mg30305] How to save time with InequalitySolve
• From: Andrzej Kozlowski <andrzej at tuins.ac.jp>
• Date: Sat, 11 Aug 2001 03:39:48 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```Probably you can't. When your inequalities contain more than one
variable and expressions which are neither polynomials nor rational
functions you should consider yourself lucky if you ever obtain an
explicit solution. The same by the way applies to equations. (This is
not a computer algebra problem but a mathematical one).

Andrzej Kozlowski
Toyama International University
JAPAN
http://platon.c.u-tokyo.ac.jp/andrzej/

On Wednesday, August 8, 2001, at 02:33  PM, Nathan ZYLBERSZTEJN wrote:

> Hi,
>
> I want Mathematica to solve this system of inequalities. When I try
> the following expressions, Mathematica is gone for hours and never
> stops. How can I solve my system in a reasonable time?
>
>
> InequalitySolve[
>   -((-8*c*(-1 + d) + Sqrt[2 - 2*d]*
>          Sqrt[-4*c^2*(-2 + 5*d) + 3*d*(2 - 3*d + d^2)])*
>        (-4*c^2*(2 + d) + 3*d*(2 - 3*d + d^2) +
>         2*c*Sqrt[2 - 2*d]*Sqrt[-4*c^2*(-2 + 5*d) +
>            3*d*(2 - 3*d + d^2)]))/(54*c*(-2 + d)^2*d*
>       (-1 + 2*c + d)) > (4*Sqrt[2/3])/3 && 1 > c > 0 &&
>    1 > d > 0, {d, c}]
>
> Thanks a lot
>
> Nathan ZYLBERSZTEJN
>
>

```

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