paraméteresen

Paraméteresen is a Hungarian word that translates to "parametrically" in English. It is used in mathematics and physics to describe a method of defining objects or phenomena using parameters. Instead of directly specifying the coordinates of points on a curve or surface, or the state of a system, one introduces one or more independent variables, called parameters, which then determine the values of the coordinates or the state.

For example, a circle in a Cartesian coordinate system can be described by the equation x^2 + y^2 = r^2. Alternatively, it can be described parametrically using the angle θ as the parameter. The equations x = r cos(θ) and y = r sin(θ) define the x and y coordinates of any point on the circle as a function of θ. As θ varies, the point (x, y) traces out the circle.

This parametric approach is particularly useful for describing curves and surfaces that are difficult to express in explicit or implicit forms, or for describing motion and evolution over time. In physics, for instance, the trajectory of a projectile is often described parametrically as a function of time, with the position vector being a function of the time parameter. The concept also extends to higher dimensions and more complex systems, providing a flexible framework for analysis and representation.