Minimalizálható

Minimalizálható is a Hungarian adjective meaning "able to be minimized" or "capable of being reduced to a minimum." It is formed from the verb minimizálni (to minimize) with the suffix -ható, which marks potential or capability. The term is used across different domains to describe objects, functions, or problems that can be reduced to a smallest or most favorable value.

In everyday and user interface language, minimalizálható often refers to windows or dialogs that can be minimized. A minimizable window can be reduced to an icon in the taskbar or dock, allowing the user to hide it without closing the program. This use emphasizes a practical action rather than a mathematical property.

In mathematics and optimization, minimalizálható describes a property of functions or problems. A function f defined on a domain D is minimizable if there exists a point x* in D such that f(x*) is the minimum value of f over D (i.e., f(x*) = min_{x in D} f(x)). If the infimum of f over D exists but is not attained by any x in D, the function is said to have an infimum but not a minimum; in this case it is not strictly minimizable. Conditions such as lower semicontinuity and compactness of the domain are often cited as guarantees for the existence of a minimum.

In economics and operations research, minimizable problems appear as cost or objective minimization tasks under given constraints. The term highlights the goal of achieving the lowest possible value of an objective function.

Note that alternative forms such as minimálható or minimizálható are used in Hungarian, with similar meaning, though usage may vary by context and author.