1. Aug 27, 2011

asmani

(x∈R → f(x)>0) → f is asmani.

What does it mean:

1. If there exists some x in R such that f(x)>0, then f is asmani.

2. If for all x in R we have f(x)>0, then f is asmani.

3. It's ambiguous or meaningless.

4. ...?

Last edited: Aug 27, 2011
2. Aug 27, 2011

tiny-tim

2. If for all x in R we have f(x)>0, then f is asmani.

3. Aug 27, 2011

HallsofIvy

And now I am going to spend all day wondering what "asmani" means!

4. Aug 27, 2011

asmani

Thanks. Is that a common formulation?
asmani means skiey (or of sky) in Persian, although I didn't mean that!

Last edited: Aug 27, 2011
5. Aug 27, 2011

dalcde

I think it means always positive. Frankly, I have never seen that word.

6. Aug 28, 2011

tiny-tim

not sure i understand you

that is the only interpretation of your original formula
haha!

as a matter of interest, does "armani" mean anything in Persian?

7. Aug 28, 2011

asmani

I mean the original formula. Is that a common formulation in order to say "If for all x in R we have f(x)>0, then f is asmani"?
Yes, it means "ideal".

8. Aug 28, 2011

tiny-tim

yes, that is a standard form of definition

eg: "if, for all non-zero vectors x, xTAx > 0, then A is positive definite"