jednowartociowych

Jednowartociowych appears to be a misspelling or variant of the Polish term jednowartościowych, used to describe mathematical objects that have a single value for each input. The standard forms are jednowartościowy (singular, masculine), jednowartościowa (feminine), jednowartościowe (neuter or plural), with jednowartościowych serving as the genitive plural when modifying a noun. The etymology combines jedno “one” with wartość “value,” plus the adjective suffix -owy/-owe.

In mathematics and logic, jednowartościowy describes a function or relation that is single-valued, meaning that for every argument there is exactly one output. This concept is contrasted with multivalued functions, where an input may correspond to several values. To obtain a single-valued function from a multivalued one, one can restrict the domain or select a branch.

Examples and contexts: the square root function is multivalued on the complex plane, but by choosing a branch (the principal branch, defined on C without a chosen branch cut) it becomes a single-valued function on that domain. The complex logarithm is likewise multivalued, with single-valued branches defined on appropriate domains. In real analysis, a function defined by a clear rule is typically single-valued by construction, while inverse relations of non-injective functions can be multivalued unless restricted.

See also: single-valued function, multivalued function, branch of a function, branch cut, Polish mathematical terminology. The term jednowwartosciowych is the commonly used form in published Polish mathematics literature to denote single-valuedness.