iff statements
[/ɪf ənd ˈoʊnli ɪf ˈsteɪtmənts/]
nounpl: iff statements
declarações se e somente se / afirmações se e somente se
1. Logical statements in mathematics and philosophy that express a biconditional relationship, where two propositions are true or false together, indicated by the abbreviation 'iff' (if and only if)
The iff statement 'A triangle is equilateral iff all its sides are equal' demonstrates a biconditional relationship.
A declaração 'Um triângulo é equilátero se e somente se todos os seus lados são iguais' demonstra uma relação bicondicional.
2. Logical expressions where condition P implies Q and Q implies P, creating a necessary and sufficient condition
In mathematics, iff statements are used to define equivalence and necessary-sufficient conditions.
Em matemática, as declarações se e somente se são usadas para definir equivalência e condições necessárias e suficientes.
The term 'iff' is primarily academic and technical, used extensively in mathematics, logic, computer science, and philosophy. It's a formalized abbreviation that emerged in mid-20th century mathematical writing. The concept is universal but the terminology is highly specialized and used predominantly in English-language academic discourse, with direct Portuguese translations varying slightly between Brazil and Portugal.
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