coordinate
Let an agent explain coordinates, relay coordinate systems and uses from mathematics, physics and geodesy sources, describe the named coordinates and quantities, and distinguish coordinates from coordinate systems, vectors, datums and map projections.
Research draft, second pass
A second pass drafted this model: the structure a model of this thing needs, and what is known about it in the world. The line under this one says how the second half was obtained - researched against sources, or recalled without web access, in which case nothing here was read anywhere and every claim is a lead to verify. Unreviewed either way.
written by Claude from model knowledge without web access - no source was read, every claim is a lead to verify
Researched by: Claude
Purpose and description
Let an agent explain coordinates, relay coordinate systems and uses from mathematics, physics and geodesy sources, describe the named coordinates and quantities, and distinguish coordinates from coordinate systems, vectors, datums and map projections.
A number, or one of an ordered set of numbers, that specifies the position of a point or the state of a system relative to a reference frame, as in Cartesian coordinates introduced by Descartes, geographic coordinates of latitude and longitude, absolute coordinates measured from a fixed origin, generalized coordinates in Lagrangian mechanics, astronomical quantities such as the parallactic angle, pseudorapidity as an angular coordinate in particle physics and imaginary time obtained by Wick rotation; several of these are specific coordinates or related quantities rather than synonyms.
What it is for: Specifying positions and states.
It can be explain the concept; relay coordinate systems; describe named coordinates; distinguish related concepts.
Distinguishing features
Relative to a frame
Ordered numbers
Many systems
Used across sciences
What it looks like
Not a visible object; numbers such as (x, y) or latitude and longitude.
Physical character
Cartesian coordinates: 1637 year - Descartes La Geometrie
pseudorapidity: -ln tan(theta/2) formula
WGS 84: global GPS datum note
How it is recognised
Number locating a point or state
Geographic coordinate, generalized coordinate, absolute coordinate, parallactic angle, pseudorapidity, imaginary time
Coordinate systems are the frameworks; vectors have direction and magnitude; datums define reference surfaces; projections map spheres to planes
Related models
is a kind of - in registry terms
is defined within -
includes -
is contrasted with -
In practice
Families and kinds
Cartesian coordinates
polar, cylindrical and spherical coordinates
geographic coordinates
generalized coordinates
astronomical coordinates
collider coordinates such as pseudorapidity
Standards and regulation
ISO 6709 for geographic point locations
Geodetic datums such as WGS 84
Failure modes and hazards
Mixing datums or latitude-longitude order
Confusing coordinates and coordinate systems
Treating related quantities as synonyms
Also called
Where this came from
wikidata · CC0 1.0
Also registered as vr.tr.coordinate
Drafted structure
Bundle to layer to finding to question, as the second pass will find it: 4 bundles · 8 layers · 8 findings · 16 questions.
Understand What a coordinate is.
Science.
Definition
Definition.
Definition
Definition.
- What is a coordinate, and how does it differ from coordinate systems, vectors, datums and projections? definition
- Is the question about maths, geography, physics or astronomy? boundary
Named
Named coordinates.
Named
Named.
- What are geographic, generalized and absolute coordinates, the parallactic angle, pseudorapidity and imaginary time? definition
- Which entry fits the specific quantity? action
Mathematics Mathematics.
Science.
Systems
Coordinate systems.
Systems
Systems.
- How do Cartesian, polar and spherical coordinates work? provenance
- Which references are standard? provenance
Transforms
Changes of coordinates.
Transforms
Transforms.
- How are coordinates transformed between systems? provenance
- Which sources are cited? provenance
Applications Applications.
Application.
Geodesy
Geographic coordinates.
Geodesy
Geodesy.
- How do latitude, longitude and datums work in GPS? provenance
- Which entry fits World Geodetic System? action
Physics
Physics.
Physics
Physics.
- How are generalized coordinates, pseudorapidity and imaginary time used in physics? provenance
- Which entry fits Lagrangian mechanics? action
Context History.
Context.
History
History.
History
History.
- How did Descartes and Fermat develop coordinate geometry? provenance
- Which entry fits analytic geometry? action
Astronomy
Astronomy.
Astronomy
Astronomy.
- How are celestial coordinates and the parallactic angle used? provenance
- Which entry fits celestial coordinate system? action
What the second pass must settle
- Should pseudorapidity and parallactic angle be separate entries?
- How should mathematics and geodesy sources be linked?
- The registry entry has merged aliases naming specific quantities; should they be split off?