coordinate system
Definition
Noun: A coordinate system is a mathematical framework that uses one or more numbers, known as coordinates, to uniquely determine the position of a point or other geometric element within a defined space. It establishes a reference for measuring locations and distances.
Usage
A coordinate system provides a standardized method for specifying locations. It is a foundational concept in geometry, physics, engineering, and computer graphics.
Examples
- In a two-dimensional coordinate system, a point is defined by its distance from two perpendicular axes, usually labeled x and y.
- The global positioning system (GPS) relies on a three-dimensional coordinate system to pinpoint locations on Earth.
- To plot the data, you must first define the coordinate system for your graph.
Advanced Usage
- "to define/establish a coordinate system": To set the rules, axes, and units for a spatial reference framework.
- The first step in solving the physics problem was to define a suitable coordinate system.
- "within a coordinate system": Located or described according to the rules of a specific framework.
- The vector's properties are only meaningful within a specific coordinate system.
Variants and Related Words
- Coordinate (noun): One of a set of numbers that determines a position within a coordinate system (e.g., x-coordinate, y-coordinate).
- Coordinate (verb): To bring different elements into a harmonious or efficient relationship. (Note: This is a distinct meaning from the noun form related to systems).
- Coordinate axes (noun phrase): The reference lines (e.g., x-axis, y-axis) that define a coordinate system.
- Frame of reference (noun phrase): A system of geometric axes in relation to which measurements of size, position, or motion can be made. This is a closely related, often synonymous concept.
Synonyms
- Reference system
- Frame of reference
- Coordinate space
Related Phrases
- Cartesian coordinate system: A system that specifies each point uniquely by a set of numerical coordinates, which are the signed distances to the point from two or three fixed perpendicular oriented lines, measured in the same unit of length.
- Polar coordinate system: A two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction.
Noun
-
a system that uses coordinates to establish position
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