proportionality
Let an agent handle proportionality in mathematics, science and allocation, stating the constant and the conditions.
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 proportionality in mathematics, science and allocation, stating the constant and the conditions.
A relationship between two quantities in which their ratio (direct proportionality) or product (inverse proportionality) is constant; also the principle of proportional allocation, such as in electoral systems.
What it is for: Scaling, modelling and fair allocation.
It can be identify it from data; compute the constant; use it to scale; measure proportionality of allocations.
Distinguishing features
Constant ratio or product
Direct and inverse forms
Linear is not always proportional (offset)
Degressive proportionality in allocation
What it looks like
Straight lines through the origin, formulas y = kx or y = k/x.
How it is recognised
Constant ratio or product
Linear graph through origin
Electoral indices such as Loosemore-Hanby
Related models
is a kind of - dependency
uses - constant
is applied in - allocation
is confused with - offset allowed
In practice
Families and kinds
direct proportionality
inverse proportionality
proportional representation
degressive proportionality
Standards and regulation
Electoral laws on seat allocation
Proportionality principle in law (legal sense)
Failure modes and hazards
Assuming proportionality without evidence
Extrapolating beyond valid range
Also called
Where this came from
wikidata · CC0 1.0
Drafted structure
Bundle to layer to finding to question, as the second pass will find it: 4 bundles · 8 layers · 8 findings · 16 questions.
Relation Which form.
Form decides the formula.
Form
Direct or inverse.
Form
Form of proportionality.
- Is it direct or inverse proportionality? definition
- What is the constant? measurement
Validity
Range.
Validity
Validity range.
- Over what range does it hold? boundary
- What evidence shows it? provenance
Use Scaling.
Proportions scale quantities.
Scaling
Calculations.
Scaling
Scaling.
- How is it used to scale values? action
- What errors can occur? boundary
Data
Testing.
Data test
Testing in data.
- Does the data support proportionality? measurement
- Is there an intercept? boundary
Allocation Fair shares.
Proportionality in allocation.
Electoral
Seats and votes.
Electoral
Electoral proportionality.
- How proportional is this seat allocation? measurement
- By which index? provenance
Degressive
Adjusted shares.
Degressive
Degressive proportionality.
- Is allocation degressively proportional, and why? definition
- Which rule sets it? provenance
Law Legal principle.
Proportionality is also a legal test.
Legal test
Rights limits.
Legal test
Legal proportionality.
- Is a legal proportionality test meant? boundary
- Which court applies it? provenance
Disambiguation
Senses.
Disambiguation
Sense.
- Which sense of proportionality is meant? boundary
- Is there a better entry? action
What the second pass must settle
- Should the legal proportionality principle be a separate entry?
- How should allocation indices be linked?
- How should agents test proportionality in data?