Question about a logic notation

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Discussion Overview

The discussion revolves around the interpretation of a specific logical notation involving a function f and the term "asmani." Participants explore the implications of the notation, particularly whether it suggests that f is positive for all real numbers or if it has other meanings.

Discussion Character

  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants propose that the notation implies "if for all x in R we have f(x)>0, then f is asmani."
  • Others suggest that it could mean "if there exists some x in R such that f(x)>0, then f is asmani."
  • One participant expresses uncertainty about the meaning of "asmani," noting it translates to "skiey" in Persian.
  • Another participant mentions that they have never encountered the term "asmani" before and speculates it might mean "always positive."
  • A later reply indicates that the original formula is a standard form of definition in mathematical contexts.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the meaning of the term "asmani" or the implications of the logical notation. Multiple interpretations are presented, and some participants express confusion regarding the commonality of the formulation.

Contextual Notes

There is ambiguity surrounding the term "asmani" and its implications in the context of the logical statement. The discussion reflects varying levels of familiarity with the notation and the term itself.

asmani
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(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. ...?

Thanks in advance.
 
Last edited:
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asmani said:
(x∈R → f(x)>0) → f is asmani

2. If for all x in R we have f(x)>0, then f is asmani. :smile:
 
And now I am going to spend all day wondering what "asmani" means!
 
tiny-tim said:
2. If for all x in R we have f(x)>0, then f is asmani. :smile:
Thanks. Is that a common formulation?
HallsofIvy said:
And now I am going to spend all day wondering what "asmani" means!
asmani means skiey (or of sky) in Persian, although I didn't mean that!
 
Last edited:
I think it means always positive. Frankly, I have never seen that word.
 
asmani said:
Thanks. Is that a common formulation?

not sure i understand you :confused:

that is the only interpretation of your original formula :smile:
asmani means skiey (or of sky) in Persian, although I didn't mean that!

haha! :biggrin:

as a matter of interest, does "armani" mean anything in Persian?
 
tiny-tim said:
not sure i understand you :confused:

that is the only interpretation of your original formula :smile:
No, I mean the original formula. Is it a common formula in order to say "If for all x in R we have f(x)>0, then f is 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"?
tiny-tim said:
haha! :biggrin:

as a matter of interest, does "armani" mean anything in Persian?
Yes, it means "ideal". :smile:
 
asmani said:
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, that is a standard form of definition

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

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