{"schema":"https://ver.cy/schemas/card/1.0.0","id":"vr.tr.equation","code":"thing-q11345","url":"https://ver.cy/models/thing/q11345/","name":"equation","alternateNames":["payoff at maturity of covered call","payoff at maturity of covered put","payoff at maturity of protective put","payoff at maturity of protective call","differential equation","difference equation","Hill's spherical vortex","linear differential equation","Heun's differential equation","nonlinear differential equation","separable differentiable equation","neural differential equation"],"kind":"thing","status":"published","version":"0.2.0-wave.1","language":"en","classifiers":{"family":"Thing Registry","category":"Information and virtual systems","entryKind":"thing","plane":"INF","domain":["INF.MED"],"industry":[],"navPath":"","tags":[],"facets":{}},"whatItIs":"A mathematical statement that two expressions are equal, usually containing unknowns to be solved for, such as linear, quadratic, polynomial, differential and difference equations, used throughout science, engineering, economics and finance.","purpose":"Let an agent explain equations by type, solution method and application, help learners solve them step by step, and avoid personal financial advice when equations model investments.","scope":{"in":[],"out":[],"boundaries":[]},"distinguishingFeatures":["States equality","Has unknowns or parameters","May have none, one or many solutions","Used to model systems"],"structure":{"bundles":[{"id":"classify","name":"Classify","description":"Type.","layers":[{"id":"type","name":"Type","description":"Equation type.","findings":[{"id":"type-finding","name":"Type","description":"Equation type.","questions":[{"text":"Is this equation linear, quadratic, differential or another type?","kind":"definition"},{"text":"What are the unknowns?","kind":"definition"}]}]},{"id":"solutions","name":"Solutions","description":"Number of solutions.","findings":[{"id":"solutions-finding","name":"Solutions","description":"Solutions.","questions":[{"text":"How many solutions can this equation have?","kind":"measurement"},{"text":"Over which number set?","kind":"boundary"}]}]}]},{"id":"solve","name":"Solve","description":"Methods.","layers":[{"id":"steps","name":"Steps","description":"Step by step.","findings":[{"id":"steps-finding","name":"Steps","description":"Solving.","questions":[{"text":"What are the steps to solve this equation?","kind":"action"},{"text":"Is each step reversible?","kind":"boundary"}]}]},{"id":"check","name":"Check","description":"Verification.","findings":[{"id":"check-finding","name":"Check","description":"Checking.","questions":[{"text":"Does the solution satisfy the original equation?","kind":"boundary"},{"text":"Are there extraneous 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advice?","kind":"boundary"}]}]}]},{"id":"learning","name":"Learning","description":"Teaching.","layers":[{"id":"explain","name":"Explain","description":"Explaining.","findings":[{"id":"explain-finding","name":"Explain","description":"Explanation.","questions":[{"text":"How can this type of equation be explained to a beginner?","kind":"action"},{"text":"Which misconceptions are common?","kind":"provenance"}]}]},{"id":"tools","name":"Tools","description":"Software.","findings":[{"id":"tools-finding","name":"Tools","description":"Tools.","questions":[{"text":"Which tools can solve or graph equations?","kind":"provenance"},{"text":"How should results be checked?","kind":"boundary"}]}]}]}]},"agentConduct":{"may":["Set up, solve and check equations, showing the steps and assumptions.","Explain equations used in science and engineering with their units."],"mustNot":["Present an approximate or numerical solution as exact without saying so.","Drop units or conditions so that an equation appears to apply where it does not.","Hand students finished answers for assessed work as their own.","Use an equation's results in a safety-critical design without verification."],"requiresHuman":["Relying on computed results for safety-critical engineering decisions."]},"ethics":{"considerations":["Errors in equations behind models can harm many people when decisions rely on them.","Teaching that builds understanding serves learners better than ready answers."],"affectedParties":["Students and teachers","Users of models and designs"]},"owners":{"steward":"Nobody owns it; it belongs to mathematics.","roles":[],"masterSystems":[]},"relations":[{"target":"Q976981","type":"parent","note":"registry parent class"},{"target":"formula","type":"related","note":"category"},{"target":"polynomial equation","type":"related","note":"kind"},{"target":"algebra","type":"related","note":"method"},{"target":"theorem","type":"related","note":"mathematical statement"}],"interaction":{"identity":{"applicability":"required","items":["Vercy registry: vr.tr.equation","Wikidata: Q11345 (https://www.wikidata.org/wiki/Q11345)"]},"properties":{"applicability":"not-applicable","items":[]},"recognition":{"applicability":"optional","items":["An equals sign between expressions","Unknowns such as x or y","Inequalities use signs such as less than","Not physical; expressions with an equals sign."]},"capabilities":{"applicability":"required","items":["classify an equation","solve equations step by step","check solutions","interpret equations in applications"]},"hazards":{"applicability":"required","items":["Dividing by zero or losing solutions","Extraneous roots","Treating model equations as guaranteed outcomes"]},"interfaces":{"applicability":"required","items":["ISO 80000-2 mathematical signs and symbols"]},"context":{"applicability":"required","items":["Modelling relationships and finding unknown values.","linear equations","quadratic and polynomial equations","systems of equations","differential equations","difference equations"]}},"sources":[{"title":"Wikidata item Q11345: equation","url":"https://www.wikidata.org/wiki/Q11345","note":"identity and sense of the item"},{"title":"Wikipedia: Equation","url":"https://en.wikipedia.org/wiki/Equation","note":"general description of the item"}],"openQuestions":["Should equation types be separate entries?","How should famous equations be linked?","How should financial formulas be framed?"],"resources":{"spec":"/models/things/publications/thing-q11345/spec.json"},"provenance":{"origin":"thing registry research (pass 2)","builtFrom":["models/things/publications/thing-q11345/spec.json"],"providers":["Claude"],"researchStatus":"unreviewed","generatedAt":"2026-09-11T13:11:21Z","builder":"tools/build_cards.py@1.0.0"},"completeness":{"sections":{"classifiers":"filled","whatItIs":"filled","purpose":"filled","distinguishingFeatures":"filled","structure":"filled","agentConduct":"filled","ethics":"filled","owners":"filled","relations":"filled","interaction.identity":"filled","interaction.properties":"not-applicable","interaction.recognition":"filled","interaction.capabilities":"filled","interaction.hazards":"filled","interaction.interfaces":"filled","interaction.context":"filled","sources":"filled"},"notes":{"_gate":"Published through the thing publication gate 1.0 on 2026-10-06T19:51:53+00:00: completeness 1.00; sense: Wikidata description; 2 live sources; review by codex: pass","interaction.properties":"Plane INF: no invented physical properties."},"score":1.0}}