inverzný

Inverzní is a Czech adjective meaning inverted, reversed, or opposite. It is derived from the Latin inversus and is used across disciplines to denote a reversal, inverse relationship, or transformation from an original state. The term often appears with nouns such as funkce, pořadí, proces or mechanism, indicating that something has been turned or undone in relation to its ordinary form.

In mathematics and related fields, inverse describes items that undo each other. Examples include the multiplicative inverse a^{-1} of a nonzero number a, where a · a^{-1} = 1, and the additive inverse -a, where a + (-a) = 0. An inverse function f^{-1} reverses the mapping of a function f, so that if f(x) = y then f^{-1}(y) = x. The inverse of a matrix A, when it exists, is A^{-1} with AA^{-1} = I. Inverse concepts also encompass inverse operations, such as subtraction being the inverse of addition and taking a square root acting as a partial inverse to squaring.

Beyond pure math, inverzní describes reversal processes in science and engineering. Inverse problems aim to infer the causes that produced observed effects, common in imaging, geophysics, and signal processing. In genetics, inverze (chromosome inversion) refers to a structural rearrangement where a chromosome segment is reversed end to end; the adjective inverzní can describe related features. In linguistics and syntax, inversion (inverze) denotes a reversal of typical word order, often used in questions or stylistic constructions.

Overall, inverzní serves as a versatile term for indicating reversal, undoing, or opposite relation across disciplines.