{ "model": { "rank": 3721, "code": "thing-q161973", "model_id": "vr.tr.curve", "name": "curve", "purpose": "Let an agent handle curves by definition, representation, properties and application, from geometry to data plots and maps.", "family": "Thing Registry", "category": "Cross-cutting context", "status": "research-draft", "kind": "thing", "plane": "XCT", "domain": "XCT.QLT", "industry": "", "version": "", "url": "/models/thing/q161973/", "tier": 2, "score": 82, "payload": { "layer": "wikidata", "aliases": [ "isoseismal map", "galaxy rotation curve", "cooling curve", "adiabatic line", "contour line", "isodose", "isohume", "isoneph", "isogam", "agonic line", "isograph", "isothermal line", "isogon", "isocline", "aclinic line", "isochron", "isocost", "isostere", "cherry blossom front", "isopleth", "isopach map", "isentrope", "isobath", "isochore", "isohyet", "isohypse", "isophote", "cotidal line", "isobar", "Plum Blossom Front", "isalloline", "isohaline", "isotherm", "sorption isotherm", "isoquant", "hydroizohips", "hydro-isotherm", "coiled coil", "closed curve", "quadratrix of Ozanam" ], "aliasCount": 199, "merged": 201, "knownIn": 82, "facets": null, "markers": [], "lexicalClass": "", "senseRank": null, "alsoRegisteredAs": "vr.tr.curve", "source": { "dataset": "wikidata", "item": "Q161973", "url": "https://www.wikidata.org/wiki/Q161973", "license": "CC0 1.0" } }, "research": { "vercy": "1.0-draft", "publication": { "status": "research-draft", "adjudicationStatus": "unreviewed", "publishableCanonical": false, "generatedAt": "2026-09-11T05:35:33Z", "providers": [ "Claude" ], "breadth": "written by Claude from model knowledge without web access - no source was read, every claim is a lead to verify", "pass": 2, "wave": 1, "engine": "claude" }, "metaModel": { "id": "THING-Q161973", "registryId": "vr.tr.curve", "name": "curve", "version": "0.2.0-wave.1", "entryKind": "thing", "family": "Thing Registry", "domain": [ "XCT.QLT" ], "status": "research-draft" }, "canonicalUrl": "https://ver.cy/models/thing/q161973/", "model": { "registry_id": "vr.tr.curve", "name": "curve", "purpose": "Let an agent handle curves by definition, representation, properties and application, from geometry to data plots and maps.", "definition": "A continuous line, straight or bent, in a plane or in space; in mathematics, the image of a continuous map from an interval, and in applied use, lines such as contour lines, isodose lines or rotation curves.", "what_it_is_for": "Describing shapes, trajectories and relationships in data and maps.", "affordances": [ "define it, by equation or parameters", "draw and plot it", "compute length, curvature and area under it", "fit it, to data" ], "distinguishing_features": [ "One-dimensional continuous object", "Can be closed or open, smooth or not", "Represented by equations, parameters or data points", "Applied curves represent measured relationships" ], "appearance": "A line on a graph, map or drawing; contour lines on maps, cooling curves on charts.", "visual_identification": [ "Lines on plots and maps", "Equations such as y = f(x) or parametric forms", "Named curves such as parabola or catenary" ], "physical_properties": [], "families_and_kinds": [ "algebraic curves: lines, conics", "transcendental curves", "parametric and spline curves", "data curves: cooling curves, rotation curves", "isolines: contour, isoseismal, isodose lines" ], "related_models": [ { "relation": "is a kind of", "target": "shape", "why": "geometric object" }, { "relation": "is studied by", "target": "mathematics", "why": "geometry" }, { "relation": "has property", "target": "length", "why": "arc length" }, { "relation": "is used in", "target": "map and chart", "why": "isolines and plots" } ], "identifiers": [], "standards_and_regulation": [ "ISO 80000-2 notation", "Cartographic conventions for contour lines" ], "failure_modes_and_hazards": [ "Overfitting curves to data", "Misreading axes and scales", "Extrapolating beyond data" ], "in_scope": [], "out_of_scope": [], "characteristics": [] }, "sources": [], "structure": { "bundles": [ { "id": "definition", "name": "Definition", "description": "What curve.", "rationale": "A curve needs a definition.", "layers": [ { "id": "form", "name": "Form", "description": "Equation or data.", "findings": [ { "id": "form-finding", "name": "Form", "description": "How the curve is defined.", "questions": [ { "text": "How is the curve defined: equation, parameters or data?", "kind": "definition" }, { "text": "Over what domain?", "kind": "definition" } ] } ] }, { "id": "type", "name": "Type", "description": "Named class.", "findings": [ { "id": "type-finding", "name": "Type", "description": "Curve class.", "questions": [ { "text": "Which class of curve is it?", "kind": "definition" }, { "text": "Is it closed or open?", "kind": "definition" } ] } ] } ] }, { "id": "properties", "name": "Properties", "description": "Measures and shape.", "rationale": "Properties describe behaviour.", "layers": [ { "id": "measures", "name": "Measures", "description": "Length, curvature.", "findings": [ { "id": "measures-finding", "name": "Measures", "description": "Computed measures.", "questions": [ { "text": "What are its length and curvature?", "kind": "measurement" }, { "text": "Where are its extrema?", "kind": "measurement" } ] } ] }, { "id": "smoothness", "name": "Smoothness", "description": "Continuity.", "findings": [ { "id": "smoothness-finding", "name": "Smoothness", "description": "Smoothness.", "questions": [ { "text": "Is it smooth everywhere?", "kind": "boundary" }, { "text": "Where are corners or cusps?", "kind": "boundary" } ] } ] } ] }, { "id": "data", "name": "Data", "description": "Fitted curves.", "rationale": "Data curves need honest fitting.", "layers": [ { "id": "fit", "name": "Fit", "description": "Model fit.", "findings": [ { "id": "fit-finding", "name": "Fit", "description": "Fit quality.", "questions": [ { "text": "How well does the curve fit the data?", "kind": "measurement" }, { "text": "Is it overfitted?", "kind": "boundary" } ] } ] }, { "id": "extrapolation", "name": "Extrapolation", "description": "Beyond data.", "findings": [ { "id": "extrapolation-finding", "name": "Extrapolation", "description": "Extrapolation risk.", "questions": [ { "text": "Is the curve used beyond the data range?", "kind": "boundary" }, { "text": "What justifies that?", "kind": "provenance" } ] } ] } ] }, { "id": "presentation", "name": "Presentation", "description": "Plots and maps.", "rationale": "Presentation affects interpretation.", "layers": [ { "id": "axes", "name": "Axes and scale", "description": "Plot reading.", "findings": [ { "id": "axes-finding", "name": "Axes", "description": "Axes and scale.", "questions": [ { "text": "What are the axes, units and scale?", "kind": "definition" }, { "text": "Is a log scale used?", "kind": "boundary" } ] } ] }, { "id": "isolines", "name": "Isolines", "description": "Contour meaning.", "findings": [ { "id": "isolines-finding", "name": "Isolines", "description": "Meaning of isolines.", "questions": [ { "text": "What value does each isoline represent?", "kind": "definition" }, { "text": "What is the interval?", "kind": "measurement" } ] } ] } ] } ] }, "openQuestions": [ "Should named curves be separate entries?", "How should data curves link to their datasets?", "How should isolines be modelled?" ], "statistics": { "bundles": 4, "layers": 8, "findings": 8, "questions": 16 } }, "draft": { "generator": "vr.draft.v3", "status": "draft-generated", "researched": false, "archetype": "abstract concept", "method": "Written from the archetype playbook - what this kind of thing needs beyond identity and provenance - and from the structure that recurred across 6,333 models already researched by two engines. Applied to this entry by rule. No source was read for this thing and no claim here is researched. This entry carries no facets of its own, so they were inferred from its domain - a guess about a whole domain applied to one thing.", "facetsInferred": true, "nextPass": "A researcher replaces this draft with a sourced specification. Treat every sentence below as a proposal to argue with.", "purpose": "Give an agent a durable, checkable way to recognise a curve, record what state it is in, and decide what may be done with it.", "whatItIs": "Let an agent handle curves by definition, representation, properties and application, from geometry to data plots and maps.", "characteristics": { "substance": "abstract", "origin": "conceptual", "agency": "inert" }, "whatYouCanDoWithIt": [ "observed and measured" ], "distinguishingFeatures": [ "Names folded into this entry, which a task may need to split apart again: isoseismal map, galaxy rotation curve, cooling curve, adiabatic line, contour line, isodose, isohume, isoneph, isogam, agonic line, isograph, isothermal line.", "201 finer distinctions are held as aliases rather than separate entries, because telling them apart needs a task that asks for it.", "Described in 82 Wikipedia languages, which is a measure of how widely the thing is known, not of how important it is." ], "openQuestionsForResearch": [ "Which of the bundles below does a real task actually need, and which are ceremony?", "What does this thing have that the facets do not capture at all?", "Which neighbouring kind is most often confused with a curve, and on what evidence are they told apart?" ], "whatItIsMadeOf": "an abstraction with no physical instance", "physicalCharacter": [ "Does nothing on its own; everything it does, something else did to it.", "These come from the domain this entry sits in rather than from the entry itself, so treat them as a first guess about the whole domain applied to one thing." ], "whatCanBeDoneWithIt": [ "observe it, measure it, record its state" ], "howItIsRecognised": [ "Nothing to see. What is recognised is an instance of it, and which instances count is exactly what is argued about." ], "relatedModels": [ { "relation": "covers", "note": "Finer kinds folded into this entry because telling them apart needs a task that asks for it. Each is a model waiting to be split out when one does.", "targets": [ "isoseismal map", "galaxy rotation curve", "cooling curve", "adiabatic line", "contour line", "isodose", "isohume", "isoneph", "isogam", "agonic line", "isograph", "isothermal line" ] } ], "standing": "Described in 82 Wikipedia languages, which measures how widely it is written about rather than how important or how common it is. 201 finer distinctions are held inside this entry as names rather than as separate models.", "structure": { "bundles": [ { "id": "identity-and-classification", "name": "Identity, naming and classification", "description": "How an agent tells one curve from another, and a curve from things that resemble it.", "rationale": "Recognition comes before every other claim. Without stable identity nothing else in the model can be trusted to be about the same thing twice.", "layers": [ { "id": "naming-and-identifiers", "name": "Names and identifiers", "description": "The names this thing goes by and the identifiers that survive translation and time.", "findings": [ { "id": "preferred-name-and-aliases", "name": "Preferred name, aliases and local names", "description": "Which name to use, which names mean the same thing, and which merely sound similar.", "questions": [ { "id": "preferred-name-and-aliases-q01", "text": "What identifies and describes the name of a curve, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "preferred-name-and-aliases-q02", "text": "Who or what asserted this about the name of a curve, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "preferred-name-and-aliases-q03", "text": "What may an agent decide or do once the name of a curve is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] }, { "id": "stable-identifiers", "name": "Stable identifiers and external keys", "description": "Identifiers that keep pointing at this kind of thing across systems and languages.", "questions": [ { "id": "stable-identifiers-q01", "text": "What identifies and describes an identifier for a curve, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "stable-identifiers-q02", "text": "Who or what asserted this about an identifier for a curve, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "stable-identifiers-q03", "text": "What may an agent decide or do once an identifier for a curve is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] }, { "id": "classification-and-granularity", "name": "Classification and granularity", "description": "Where a curve sits among kinds, and how finely a task needs to cut it.", "findings": [ { "id": "kind-and-parents", "name": "Kind, parents and neighbouring kinds", "description": "The classes this thing belongs to and the ones it is next to.", "questions": [ { "id": "kind-and-parents-q01", "text": "What identifies and describes the kind of a curve, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "kind-and-parents-q02", "text": "Who or what asserted this about the kind of a curve, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "kind-and-parents-q03", "text": "What may an agent decide or do once the kind of a curve is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] }, { "id": "distinguishing-features", "name": "Distinguishing features", "description": "What separates a curve from the things most often confused with it.", "questions": [ { "id": "distinguishing-features-q01", "text": "What identifies and describes what distinguishes a curve, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "distinguishing-features-q02", "text": "Who or what asserted this about what distinguishes a curve, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "distinguishing-features-q03", "text": "What may an agent decide or do once what distinguishes a curve is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] } ] }, { "id": "state-and-lifecycle", "name": "State and lifecycle", "description": "The states a curve passes through and the events that move it between them.", "rationale": "Most decisions about a thing depend on what state it is in now, which is a claim with a time on it, not a property.", "layers": [ { "id": "lifecycle-stages", "name": "Lifecycle stages", "description": "From coming into existence to ceasing to be one of these.", "findings": [ { "id": "stages-and-transitions", "name": "Stages and transitions", "description": "The stages worth naming and what moves a curve between them.", "questions": [ { "id": "stages-and-transitions-q01", "text": "What identifies and describes the lifecycle of a curve, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "stages-and-transitions-q02", "text": "Who or what asserted this about the lifecycle of a curve, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "stages-and-transitions-q03", "text": "What may an agent decide or do once the lifecycle of a curve is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] }, { "id": "observations-and-status", "name": "Observations and current status", "description": "What is observed about a curve, how often and by whom.", "findings": [ { "id": "observation-record", "name": "Observation record", "description": "How an observation of a curve is recorded so that it can be superseded rather than overwritten.", "questions": [ { "id": "observation-record-q01", "text": "What identifies and describes an observation of a curve, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "observation-record-q02", "text": "Who or what asserted this about an observation of a curve, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "observation-record-q03", "text": "What may an agent decide or do once an observation of a curve is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] } ] }, { "id": "definitions-in-contest", "name": "Definitions and who holds them", "description": "What curve is taken to mean, and by whom.", "rationale": "When a field disagrees about a concept, the disagreement is the content. A model that picks one definition silently destroys the information.", "layers": [ { "id": "competing-definitions", "name": "Competing definitions", "description": "The main readings and the traditions behind them.", "findings": [ { "id": "definition-map", "name": "Definitions and their holders", "description": "Each definition with the school or body that holds it.", "questions": [ { "id": "definition-map-q01", "text": "Which definitions of curve are in use, and which tradition or body holds each?", "kind": "definition" }, { "id": "definition-map-q02", "text": "What turns on the difference between them in practice?", "kind": "boundary" } ] } ] }, { "id": "operationalisation", "name": "Operationalisation", "description": "How it is measured or applied when it has to be.", "findings": [ { "id": "operational-record", "name": "Measures and proxies", "description": "Instruments and indicators used to stand in for it.", "questions": [ { "id": "operational-record-q01", "text": "How is curve operationalised or measured in practice, and by what instrument?", "kind": "measurement" }, { "id": "operational-record-q02", "text": "What does that operationalisation leave out, and when does that matter?", "kind": "boundary" } ] } ] } ] }, { "id": "instances-and-use", "name": "Instances, use and consequence", "description": "What counts as an instance of curve and what follows from calling something that.", "rationale": "Applying a concept is an act with consequences, so a model must say what the label licenses and what it does not.", "layers": [ { "id": "instances", "name": "What counts as an instance", "description": "Clear cases, borderline cases and non-cases.", "findings": [ { "id": "instance-tests", "name": "Tests for an instance", "description": "What would settle whether something falls under it.", "questions": [ { "id": "instance-tests-q01", "text": "What would settle whether something is an instance of curve?", "kind": "boundary" }, { "id": "instance-tests-q02", "text": "Which borderline cases are argued about, and on what grounds?", "kind": "definition" } ] } ] }, { "id": "consequence", "name": "Consequence of application", "description": "Rights, duties or decisions that follow from the label.", "findings": [ { "id": "consequence-record", "name": "What the label licenses", "description": "What an agent may do once something is classified this way.", "questions": [ { "id": "consequence-record-q01", "text": "What follows practically once something is treated as curve?", "kind": "action" }, { "id": "consequence-record-q02", "text": "What must an agent not infer from the label alone?", "kind": "action" } ] } ] } ] }, { "id": "provenance-and-evidence", "name": "Provenance, evidence and time", "description": "Where every claim about a curve came from and when it held.", "rationale": "A claim without a source and a time cannot be superseded, only overwritten, and an agent that overwrites loses the ability to explain itself.", "layers": [ { "id": "source-and-authority", "name": "Source and authority", "description": "Who said it, on what evidence, and how strongly.", "findings": [ { "id": "claim-provenance", "name": "Claim provenance and confidence", "description": "The authority behind each claim about a curve and how confident it is.", "questions": [ { "id": "claim-provenance-q01", "text": "What identifies and describes a claim about a curve, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "claim-provenance-q02", "text": "Who or what asserted this about a claim about a curve, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "claim-provenance-q03", "text": "What may an agent decide or do once a claim about a curve is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] }, { "id": "time-and-versions", "name": "Time, versions and supersession", "description": "When a claim was true, when it was learnt, and what replaced it.", "findings": [ { "id": "validity-and-supersession", "name": "Validity period and supersession", "description": "How an old claim about a curve is retired without being erased.", "questions": [ { "id": "validity-and-supersession-q01", "text": "What identifies and describes the validity of a claim about a curve, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "validity-and-supersession-q02", "text": "Who or what asserted this about the validity of a claim about a curve, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "validity-and-supersession-q03", "text": "What may an agent decide or do once the validity of a claim about a curve is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] } ] } ] }, "statistics": { "bundles": 5, "layers": 10, "findings": 12, "questions": 32 } } } }