Invariantná

Invariantná is the feminine form of the adjective invariantný in Slovak, used to describe nouns that remain unchanged under a specified set of transformations or conditions. It is part of technical vocabulary in mathematics, computer science, physics and related fields, and it typically agrees with feminine nouns such as vlastnosť (property), hodnota (value) or veličina (quantity). The base term invariant derives from Latin and English roots meaning “unchanging.”

In mathematics, an invariantná vlastnosť or invariantná hodnota refers to a property that is preserved under a given transformation or action. Common examples include distances and angles preserved by rigid motions in geometry, or the determinant of a matrix under similarity transformations. Invariantné quantities help classify objects and describe structures without depending on arbitrary choices of coordinates or frames of reference.

In computer science, invariantná podmienka cyklu, or loop invariant, describes a statement that holds before and after every iteration of a loop. Loop invariants are central to reasoning about algorithm correctness and to proving that an algorithm accomplishes its task regardless of execution path or input.

In physics and related disciplines, invariants are quantities or properties that remain unchanged under specific symmetries or transformations. Examples include certain conserved quantities arising from symmetries in a system, such as angular momentum under rotational symmetry.

Overall, invariantná denotes a descriptive relationship in feminine form, signaling that the described feature does not vary under a defined set of conditions.