coördinaatafhankelijk

Coördinaatafhankelijk is a Dutch term that translates to "coordinate-dependent" in English. It is used in various fields, particularly in geometry, physics, and computing, to describe a property, measurement, or phenomenon that changes based on the chosen coordinate system.

In geometry, an object's position or orientation is inherently coordinate-dependent. For example, the coordinates (3, 5) represent a specific point, but these numbers only have meaning relative to a chosen origin and axes. If the coordinate system is translated or rotated, the same physical point will have different coordinate values. Similarly, the description of a curve or surface can be expressed using different coordinate systems, such as Cartesian, polar, or spherical coordinates, each offering a different perspective on the same geometric entity.

In physics, quantities like velocity and momentum are often coordinate-dependent. When describing motion, the velocity of an object is always relative to an observer’s frame of reference, which is defined by a coordinate system. For instance, a person sitting on a train might observe the person next to them as stationary, but an observer outside the train would see both individuals moving at the train's speed. This illustrates how the measurement of velocity is dependent on the coordinate system of the observer.

In computing, particularly in graphics and spatial data management, coordinate-dependency is a fundamental concept. When storing and manipulating data points or geometric shapes, the interpretation of their coordinates relies on predefined coordinate systems. Converting between different coordinate systems is a common operation, ensuring that data can be accurately represented and processed regardless of the system it was originally defined in. The concept emphasizes that while the underlying physical reality or abstract entity remains the same, its numerical representation can vary.