jednorodna

Jednorodna is the feminine singular form of the Polish adjective jednorodny, meaning homogeneous or uniform in composition, structure, or nature. The term is used to describe objects, materials, or concepts whose properties are consistent throughout a given space or system. The opposite form is niejednorodna, used for things that vary in different regions or components.

In science and engineering, jednorodna describes substances or materials with uniform properties throughout. A jednorodna mieszanina, for example, has the same composition at every point, unlike a niejednorodna (heterogeneous) mixture. A jednorodny materiał possesses consistent density, conductivity, and other characteristics across its volume.

In mathematics, jednorodna is used in phrases such as jednorodna funkcja, or homogeneous function. Ajednorodna funkcja of degree k satisfies a related scaling property: f(λx) = λ^k f(x) for all λ > 0. The notion extends to equations and systems that are composed of terms of the same degree, indicating a form of scale invariance.

In a broader sense, jednorodna can describe populations, languages, or cultures that are uniform in certain features, though such usage depends on context and precision.

Grammar note: jednorodna is the feminine singular form of jednorodny. It agrees with feminine nouns (for example, substancja jednorodna, mieszanina jednorodna), while masculine and neuter forms are used with corresponding nouns (jednorodny materiał, jednorodne zjawisko).