Iloczynowych

Iloczynowych is the genitive plural form of the Polish adjective iloczynowy, which means multiplicative or related to a product. The root iloczyn denotes a product, and the suffix -owy forms adjectives that describe properties, operations, or relations involving multiplication or products. Iloczynowych appears when the adjective modifies a plural noun in the genitive case, for example cechy iloczynowych operacji or własności iloczynowych równań.

In mathematical and technical usage, iloczynowy describes aspects connected with multiplication or with a product of factors. Common contexts include phrases that refer to multiplicative processes or results. For instance, iloczyn skalarny (dot product) and iloczyn wektorowy (cross product) employ the noun iloczyn, while the surrounding adjectives describe the type of product. The form iloczynowych may appear in phrases such as operacje iloczynowe (multiplicative operations) or przekształcenia iloczynowe (multiplicative transformations) when these modify plural nouns in the genitive.

The term also appears in related fields such as measure theory, where the concept of a product is formalized by phrases like miara iloczynowa (product measure). In such cases, iloczynowy functions primarily as an adjective describing the nature of the product-related concept rather than as an independent technical noun.

Overall, iloczynowych is not a standalone mathematical concept; it is a grammatical form used to describe multiplicative or product-related attributes in phrases that involve plural nouns in the genitive case. Related words include iloczyn (product), iloczyn skalarny, and miara iloczynowa.