paritáskifejez

Paritáskifejezés, or parity expression, is a term used in Hungarian mathematics education to describe an expression that determines the parity of an integer, i.e., whether it is even or odd. The concept stems from the Hungarian word paritás (parity) combined with kifejezés (expression) and is commonly encountered in introductory arithmetic and modular arithmetic contexts.

In practice, a parity expression typically involves a comparison to determine evenness or oddness. A standard form is n mod 2 = 0, which is true when n is even and false when n is odd. More generally, parity expressions may be used to analyze how the parity of numbers behaves under addition and multiplication: the sum of two even numbers is even, the sum of two odd numbers is even, and the sum of an even and an odd number is odd; a product is even if at least one factor is even, and odd only if all factors are odd. In programming and algorithm design, parity expressions appear in simple checks, error-detection schemes, and algorithms that rely on the parity of inputs.

Etymologically, paritáskifejezés reflects Hungarian pedagogical vocabulary and is mostly found in Hungarian-language educational materials. The term is not widely standardized in international mathematical literature, where parity or modulus-based expressions are described in more general terms. See also parity, modular arithmetic, and bitwise operations for related concepts.

In sum, paritáskifejezés denotes the use of explicit expressions to assess or characterize the parity of integers, serving as a practical tool in teaching and basic reasoning about evenness and oddness.