nezáporných

Nezáporný is a Czech adjective meaning nonnegative, i.e., not negative. It describes quantities, numbers, or functions that are greater than or equal to zero. In mathematical contexts, nezáporný denotes values that are never less than zero.

In mathematics, the concept appears in several commonly used forms. The set of nezáporná čísla includes nonnegative numbers, such as zero and positive numbers. When describing real numbers, one often writes the set of nezáporné reálné čísla, typically denoted as R≥0 or [0, ∞). Nonnegative integers form another familiar set, often written as N0 = {0, 1, 2, …}. A function can be nezáporná (nonnegative) if its output is always at least zero for every input in its domain.

Grammatically, nezáporný is declined like a standard Czech adjective. The form nezáporných is the genitive plural (as in phrases such as hodnota nezáporných čísel or soubor nezáporných hodnot) and appears in contexts where the phrase modifies or relates to a plural noun in the genitive case. The feminine and neuter forms follow regular agreement: nezáporná, nezáporné, respectively.

Usage across disciplines is consistent: nezáporný describes quantities that cannot be negative, ensuring nonnegative constraints in theory and applications. The term appears in mathematics, statistics, computer science, and engineering texts in Czech, where it helps distinguish nonnegative quantities from negative ones.