minimalizacj

Minimalizacj is likely a misspelling of the Polish term minimalizacja (minimization) or, less commonly, minimalizm (minimalism). This article explains the concept of minimization as it is used across mathematics, science, engineering, and design.

In mathematics and optimization, minimization is the process of finding the smallest value of a function f(x) over a given domain. The solution typically includes the minimum value and the point(s) x that achieve it, called the argmin. Methods range from calculus-based techniques to algorithms for constrained problems, such as linear programming and convex optimization, gradient descent, and the use of Lagrange multipliers.

Applications of minimization appear across disciplines. In economics and engineering, minimization targets costs, energy, or risk. In computer science and machine learning, models are trained by minimizing a loss or error function. In data compression and signal processing, minimization reduces redundancy. In software and systems engineering, resource minimization improves efficiency and performance.

The term also connects to minimalism, a design and cultural movement that emphasizes simplicity and the reduction of nonessential elements.

See also: optimization, convex optimization, linear programming, calculus of variations, argmin, Lagrange multipliers, minimalism.