linearna

Linearna is the feminine singular form of the adjective linear in several South Slavic languages, including Croatian, Bosnian, and Serbian. It is used to describe nouns that pertain to a straight line or to proportional, non-curved relationships. The term derives from Latin linearis, from linea meaning line, and is related to the concept of linearity in mathematics and science.

In grammatical usage, linearna modifies feminine singular nouns, such as linearna jednadžba (linear equation), linearna funkcija (linear function), or linearna transformacija (linear transformation). The corresponding adverb is linearno, and the noun form linearnost expresses the property of linearity.

In mathematics and related fields, linearna denotes properties and objects characterized by linearity: proportionality to inputs, additivity, and a constant rate of change. Common terms include linearna jednadžba, linearna funkcija, linearna transformacija, and linearna algebра (linear algebra, where the feminine form linearna is used with algebra). Linear concepts are foundational in solving systems of equations, modeling simple motion, and describing vector spaces.

Outside pure mathematics, the term appears in physics, engineering, and computer science to describe linear motion, linear regression, and linear approximations. While the idea of linearity is shared across languages, exact usage and gender agreement vary by language, but the core meaning remains the same: representing, approximating, or relating quantities through a straight-line or proportionate relationship.