Parzysta

Parzysta is a Polish adjective meaning "even." It is the feminine singular form of parzysty and is used with feminine nouns, for example liczba parzysta (an even number). The masculine form is parzysty, the neuter form is parzyste, and in plural the forms include parzysti (masculine personal) and parzyste (other genders and neuter).

In mathematics, parzysta refers to even numbers. An integer n is even if it is divisible by 2 with zero remainder, i.e., n = 2k for some integer k. The set of even integers is often denoted by 2Z and includes numbers such as ..., -4, -2, 0, 2, 4, 6, .... Even numbers have several basic properties: even plus even is even; odd plus odd is even; even plus odd is odd; even times any integer is even; odd times odd is odd. The concept of parity distinguishes even numbers from odd numbers (nieparzysta).

Grammatically, parzysta is a gender- and number-inflected form used to agree with feminine singular nouns. For instance, "liczba parzysta" uses the feminine form. When referring to multiple items, phrases like "liczby parzyste" are used, with the adjective taking the plural form parzyste.

Beyond pure mathematics, the term appears in discussions of parity in computing and logic, such as parity checks in data transmission, where the parity of a binary string indicates potential errors. The noun form "parzystość" denotes the property of being even, or parity, in mathematical and technical contexts.