Group Abstract Group Abstract

Message Boards Message Boards

Checking the sign of an equation?

Posted 9 years ago

Hello,

I have the following (simplified) problem:

f = fx fy - fz

fx>0

fy<0

fz>0

(with fx denoting f'(x), fy denoting f'(y) and fz denoting f'(z) )

How can I check, if f is positive or negative?

In this example it is obviously easy, in my calculation, it is definitely not, since it is very long and only consist of functions which are either greater or smaller than zero.

I am thankful for any help! And sorry, I'm a Mathematica beginner...

Tanks and best regards from Berlin!

POSTED BY: fabian queisner

Hi Fabian,

these are possibilities:

f := fx fy - fz;
Assuming[fx > 0 && fy < 0 && fz > 0, Simplify[f > 0]]

or

f := fx fy - fz;
Simplify[f > 0, Assumptions -> fx > 0 && fy < 0 && fz > 0]

Cheers,

Marco

POSTED BY: Marco Thiel
Reply to this discussion
Community posts can be styled and formatted using the Markdown syntax.
Reply Preview
Attachments
Remove
or Discard