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  2. If and only if - Wikipedia

    en.wikipedia.org/wiki/If_and_only_if

    The corresponding logical symbols are "", "", [6] and , [10] and sometimes "iff".These are usually treated as equivalent. However, some texts of mathematical logic (particularly those on first-order logic, rather than propositional logic) make a distinction between these, in which the first, ↔, is used as a symbol in logic formulas, while ⇔ is used in reasoning about those logic formulas ...

  3. Identity (object-oriented programming) - Wikipedia

    en.wikipedia.org/wiki/Identity_(object-oriented...

    The identity provides a mechanism for referring to such parts of the object that are not exposed in the interface. Thus, identity is the basis for polymorphism in object-oriented programming. Identity allows comparison of references. Two references can be compared whether they are equal or not.

  4. 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 ...

  5. Statement (computer science) - Wikipedia

    en.wikipedia.org/wiki/Statement_(computer_science)

    conditional statement (with other variants) IF (A) = 2 assignment to a subscripted variable named IF; As spaces were optional up to Fortran 95, a typo could completely change the meaning of a statement: DO 10 I = 1,5 start of a loop with I running from 1 to 5; DO 10 I = 1.5 assignment of the value 1.5 to the variable DO10I

  6. Identity function - Wikipedia

    en.wikipedia.org/wiki/Identity_function

    In mathematics, an identity function, also called an identity relation, identity map or identity transformation, is a function that always returns the value that was used as its argument, unchanged. That is, when f is the identity function, the equality f ( x ) = x is true for all values of x to which f can be applied.

  7. Law of identity - Wikipedia

    en.wikipedia.org/wiki/Law_of_identity

    The law of identity can be expressed as (=), where x is a variable ranging over the domain of all individuals. In logic, there are various different ways identity can be handled. In first-order logic with identity, identity is treated as a logical constant and its axioms are part of the logic itself. Under this convention, the law of identity ...

  8. Logical biconditional - Wikipedia

    en.wikipedia.org/wiki/Logical_biconditional

    Venn diagram of (true part in red) In logic and mathematics, the logical biconditional, also known as material biconditional or equivalence or bidirectional implication 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 consequent.

  9. First-order logic - Wikipedia

    en.wikipedia.org/wiki/First-order_logic

    For example, the first-order formula "if x is a philosopher, then x is a scholar", is a conditional statement with "x is a philosopher" as its hypothesis, and "x is a scholar" as its conclusion, which again needs specification of x in order to have a definite truth value.