odwzorowujce

Odwzorowujace is a Polish adjective derived from the verb odwzorowywać, meaning to map or transform. In linguistic and mathematical usage, it denotes that something performs or relates to a mapping or transformation between objects, often between sets or structures.

In mathematics, the noun odwzorowanie denotes a mapping or function that assigns to every element of a domain a unique element of a codomain. The adjective odwzorowujace describes the property of performing such a mapping. For example, one speaks of funkcja odwzorowujaca z A na B, meaning a function that maps elements of A to elements of B. The term is used across subfields to describe common types of mappings, such as odwzorowania liniowe (linear mappings), odwzorowania diffeomorfizmy (diffeomorphisms), or odwzorowania odwrotne (inverse mappings). When a mapping is bijective, it is often described as odwzorowanie bijektywne, emphasizing invertibility.

Beyond pure mathematics, the concept appears in computer science, geometry and data science, where algorithms or transformations act as odwzorowujace operations, reproducing or relabeling data, shapes, or coordinates from one representation to another. The related expression odwzorowywanie describes the process of performing a mapping, while odwzorowanie itself denotes the resulting connection between elements of different domains.

Notes on usage: the diacritic form is odwzorowujace (odwzorowujący/odwzorowujące), while non-diacritic variants such as odwzorowujace are common in informal texts or environments that omit diacritics. The term is generally neutral and widely understood in mathematical and technical contexts.