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  2. If and only if - Wikipedia

    en.wikipedia.org/wiki/If_and_only_if

    If and only if. In logic and related fields such as mathematics and philosophy, " if and only if " (often shortened as " iff ") is paraphrased by the biconditional, a logical connective [1] between statements. The biconditional is true in two cases, where either both statements are true or both are false. The connective is biconditional (a ...

  3. Conditional (computer programming) - Wikipedia

    en.wikipedia.org/wiki/Conditional_(computer...

    The above example takes the conditional of Math.random() < 0.5 which outputs true if a random float value between 0 and 1 is greater than 0.5. The statement uses it to randomly choose between outputting You got Heads! or You got Tails! to the console. Else and else-if statements can also be chained after the curly bracket of the statement ...

  4. Logical biconditional - Wikipedia

    en.wikipedia.org/wiki/Logical_biconditional

    Logical biconditional. In logic and mathematics, the logical biconditional, also known as material biconditional or equivalence or biimplication or bientailment, is the logical connective used to conjoin two statements and to form the statement " if and only if " (often abbreviated as " iff " [1]), where is known as the antecedent, and the ...

  5. Conditional sentence - Wikipedia

    en.wikipedia.org/wiki/Conditional_sentence

    Conditional sentences are natural language sentences that express that one thing is contingent on something else, e.g. "If it rains, the picnic will be cancelled." They are so called because the impact of the main clause of the sentence is conditional on the dependent clause. A full conditional thus contains two clauses: a dependent clause ...

  6. Necessity and sufficiency - Wikipedia

    en.wikipedia.org/wiki/Necessity_and_sufficiency

    In logic and mathematics, necessity and sufficiency are terms used to describe a conditional or implicational relationship between two statements. For example, in the conditional statement: "If P then Q ", Q is necessary for P, because the truth of Q is guaranteed by the truth of P. (Equivalently, it is impossible to have P without Q, or the ...

  7. Contraposition - Wikipedia

    en.wikipedia.org/wiki/Contraposition

    Contraposition. In logic and mathematics, contraposition, or transposition, refers to the inference of going from a conditional statement into its logically equivalent contrapositive, and an associated proof method known as § Proof by contrapositive. The contrapositive of a statement has its antecedent and consequent inverted and flipped.

  8. Ternary conditional operator - Wikipedia

    en.wikipedia.org/wiki/Ternary_conditional_operator

    The detailed semantics of "the" ternary operator as well as its syntax differs significantly from language to language. A top level distinction from one language to another is whether the expressions permit side effects (as in most procedural languages) and whether the language provides short-circuit evaluation semantics, whereby only the selected expression is evaluated (most standard ...

  9. Conditional loop - Wikipedia

    en.wikipedia.org/wiki/Conditional_loop

    Conditional loop. In computer programming, conditional loops or repetitive control structures are a way for computer programs to repeat one or more various steps depending on conditions set either by the programmer initially or real-time by the actual program. A conditional loop has the potential to become an infinite loop when nothing in the ...