kwadratowych

Kwadratowych is the genitive plural form of the Polish adjective kwadratowy, meaning square or quadratic. The base noun kwadrat refers to a geometric square or to the mathematical operation of squaring. In Polish, the adjective kwadratowy describes things related to squares or quadratic terms, and its inflected forms agree with the noun they modify. Kwadratowych appears when the described noun is in the genitive plural, for example in phrases like macierzy kwadratowych (of square matrices), wartości kwadratowych (squared values), or współczynników kwadratowych (quadratic coefficients).

In mathematics, kwadratowy is used to indicate second degree or squared quantities. Common terms include liczby kwadratowe (square numbers), równania kwadratowe (quadratic equations), and funkcje kwadratowe (quadratic functions). The concept also extends to geometry and linear algebra, where kwadratowe describes objects or structures with two related dimensions, such as macierze kwadratowe (square matrices).

Etymology-wise, kwadratowy derives from kwadrat, which denotes a square and has historical ties to a broader family of words meaning “square” or “to square.” The form kwadratowych is one of several inflected endings that Polish adjectives adopt to reflect gender, number, and case, and it is specifically used when the noun it modifies is in the genitive plural.

Usage notes: kwadratowych commonly appears in technical or academic Polish, especially in mathematics, computer science, physics, and engineering. It can describe properties of polynomials, matrices, sequences, and coefficients of degree two, among other contexts, always signaling a relation to squares or quadratic terms.