Fälten

Fälten is the plural form of fält in Swedish and is used in several disciplines to refer to different kinds of areas or domains. The word’s meaning depends on context, ranging from physical spaces to abstract constructs in science and mathematics.

In physics and related sciences, a fält (field) denotes a quantity defined at every point in space. Examples include the gravitational field, electric field, and magnetic field. Fields can be scalar, vector, or tensor in nature and are fundamental for describing forces and interactions. Maxwell’s equations describe how electric and magnetic fields propagate and interact. In this sense, a field is not a material substance but a distribution of a physical quantity across space.

In mathematics, a fält (field) is an algebraic structure consisting of a set equipped with two operations—addition and multiplication—that satisfy specific axioms such as associativity, commutativity, identity elements, and distributivity. In practice, the rational, real, and complex numbers form fields, as do many finite fields used in coding theory and cryptography. Fields provide a framework for performing division (except by zero) and for solving equations in a consistent way.

In geography and agriculture, a fält refers to an area of land used for cultivation or pasture. Fields are managed through farming practices, crop rotation, and soil improvement, and are often measured in hectares. The term also appears in land planning and rural geography to describe landscapes shaped by agricultural use.

In information technology and data management, a fält or field is a data element within a record or form, such as a text field or number field, used to store specific information. Database schemas define fields and constraints to ensure data validity.

Overall, fälten denotes distinct yet related ideas of defined areas, whether physical, mathematical, or data-oriented.