boundary
Let an agent handle boundaries by domain, definition and properties, separating mathematical boundaries from physical and political ones.
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 handle boundaries by domain, definition and properties, separating mathematical boundaries from physical and political ones.
In mathematics, the set of points in the closure of a set that are not in its interior; more broadly, a line or surface that separates regions, such as plate boundaries in geology or the Alfven surface in plasma physics.
What it is for: Defining limits of regions in mathematics and science.
It can be compute the boundary of a set; apply boundary conditions; map physical boundaries; route to political border entries.
Distinguishing features
Separates regions
Closed set in topology
Boundary conditions in physics
Many domain-specific uses
What it looks like
Edges of regions on diagrams and maps.
How it is recognised
Notation such as the boundary operator
Plate boundaries on geological maps
Political borders are a separate sense
Related models
is a kind of - category
is studied in - field
includes - geology
is confused with - another sense
In practice
Families and kinds
topological boundaries
boundaries of manifolds
plate boundaries
phase and physical boundaries
ecological fronts
Failure modes and hazards
Mixing mathematical and political senses
Wrong boundary conditions in models
Also called
Where this came from
wikidata · CC0 1.0
Also registered as vr.tr.boundary
Drafted structure
Bundle to layer to finding to question, as the second pass will find it: 4 bundles · 8 layers · 8 findings · 16 questions.
Domain Which boundary.
Domains differ.
Field
Math, geology, physics.
Field
Domain.
- In which domain is boundary meant? definition
- Which specific entry fits? action
Definition
Formal meaning.
Definition
Definition.
- How is the boundary defined there? definition
- What notation is used? definition
Mathematics Topology.
Topology formalises boundaries.
Compute
Boundary of a set.
Compute
Computation.
- What is the boundary of this set? measurement
- In which topology? definition
Properties
Closedness.
Properties
Properties.
- Is the boundary closed, and does it equal closure minus interior? definition
- Is the set open or closed? boundary
Physics Boundary conditions.
Models need conditions.
Conditions
Types.
Conditions
Boundary conditions.
- Which boundary conditions apply to the model? definition
- Are they physically justified? boundary
Interfaces
Phase boundaries.
Interfaces
Interfaces.
- What happens at the interface? definition
- How is it measured? provenance
Earth Plate boundaries.
Geology has boundaries.
Plates
Types.
Plates
Plate boundaries.
- Is it a divergent, convergent or transform boundary? definition
- What hazards does it cause? boundary
Senses
Political border.
Senses
Other senses.
- Is a political border or personal boundary meant? boundary
- Which entry fits? action
What the second pass must settle
- Should domain boundaries be separate entries?
- How should political borders be linked?
- How should boundary conditions be linked?