asmani said:
Thanks. Is that a common formulation?tiny-tim said:2. If for all x in R we have f(x)>0, then f is asmani.
asmani means skiey (or of sky) in Persian, although I didn't mean that!HallsofIvy said:
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"?tiny-tim said:not sure i understand you
that is the only interpretation of your original formulaNo, 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"
Yes, it means "ideal".tiny-tim said:haha!
as a matter of interest, does "armani" mean anything in Persian?
asmani said:
Logic notation is a system of symbols and rules used to represent logical statements and arguments in a concise and precise manner. It allows for the formalization and analysis of reasoning and helps to avoid ambiguity in communication.
Logic notation is important because it allows for the clear and systematic representation of logical arguments. It also helps to identify and avoid fallacies in reasoning, leading to more accurate and sound conclusions.
The basic elements of logic notation include logical operators (such as "and", "or", and "not"), variables, quantifiers (such as "for all" and "there exists"), and parentheses to indicate the order of operations.
Logic notation is used in various fields of science, including mathematics, computer science, philosophy, and linguistics. It allows for the formalization and analysis of complex concepts and theories, aiding in the development of new ideas and discoveries.
Some common symbols used in logic notation include:
- "∧" for "and"
- "∨" for "or"
- "¬" for "not"
- "∀" for "for all"
- "∃" for "there exists"
- "->" for "implies"
- "<->" for "if and only if"
- "=" for "equals"
- "∅" for "empty set"
- "∈" for "element of"
- "⊆" for "subset of"