{"schema":"https://ver.cy/schemas/card/1.0.0","id":"vr.tr.factor","code":"thing-factor","url":"https://ver.cy/models/thing/factor/","name":"factor","alternateNames":["deflator","conversion factor","factor of proportionality","constant of proportionality"],"kind":"thing","status":"published","version":"0.2.0-wave.2","language":"en","classifiers":{"family":"Thing Registry","category":"Cross-cutting context","entryKind":"noun.quantity","plane":"XCT","domain":["XCT.QTY"],"industry":[],"navPath":"","tags":[],"facets":{"substance":"abstract","origin":"conceptual","agency":"inert","mobility":"not-applicable","scale":"not-applicable","affordances":["observable"]}},"whatItIs":"Any of the numbers or symbols that form a product when multiplied together, as the factors of a number in arithmetic, the factors of a polynomial in algebra, and constants of proportionality or conversion factors that relate quantities, including deflators used to convert nominal to real values in economics; factoring decomposes expressions into simpler multiplicands and underlies number theory, algebra, unit conversion and index calculations.","purpose":"Let an agent explain factors in arithmetic and algebra, support factoring numbers and expressions, describe conversion factors, proportionality constants and deflators, and separate this sense from causal and business senses of factor.","scope":{"in":[],"out":[],"boundaries":[]},"distinguishingFeatures":["Multiplicative role","Decomposition","Proportionality constants","Cross-field"],"structure":{"bundles":[{"id":"understand","name":"Understand","description":"What factors are.","layers":[{"id":"concept","name":"Concept","description":"Concept.","findings":[{"id":"concept-finding","name":"Concept","description":"Concept.","questions":[{"text":"What is a factor in arithmetic and algebra, and how does factoring decompose numbers and expressions?","kind":"definition"},{"text":"Is the mathematical sense or another sense of factor 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simplifying fractions and cryptography?","kind":"provenance"},{"text":"Which entry fits cryptography?","kind":"action"}]}]}]},{"id":"constants","name":"Constants","description":"Conversion and proportionality.","layers":[{"id":"conversion","name":"Conversion","description":"Conversion factors.","findings":[{"id":"conversion-finding","name":"Conversion","description":"Conversion.","questions":[{"text":"How are conversion factors and constants of proportionality used, and how are unit errors avoided?","kind":"action"},{"text":"Which entry fits unit conversion?","kind":"action"}]}]},{"id":"deflators","name":"Deflators","description":"Deflators.","findings":[{"id":"deflators-finding","name":"Deflators","description":"Deflators.","questions":[{"text":"What are deflators, and how do they convert nominal values to real values?","kind":"definition"},{"text":"Which entry fits price indices?","kind":"action"}]}]}]},{"id":"learn","name":"Learn","description":"History and teaching.","layers":[{"id":"history","name":"History","description":"History.","findings":[{"id":"history-finding","name":"History","description":"History.","questions":[{"text":"How did the concept of factor and factorisation develop in mathematics?","kind":"provenance"},{"text":"Which references are standard?","kind":"provenance"}]}]},{"id":"teach","name":"Teach","description":"Teaching.","findings":[{"id":"teach-finding","name":"Teach","description":"Teaching.","questions":[{"text":"How can factoring be taught in school mathematics?","kind":"action"},{"text":"Which misconceptions arise?","kind":"provenance"}]}]}]}]},"agentConduct":{"may":["Find factors of numbers and polynomials and state the method used.","Apply conversion factors and deflators with their source and base year.","Show working so results can be checked."],"mustNot":["Apply a conversion factor or deflator without stating its source and date.","Present nominal values as real values or the reverse.","Use the wrong unit conversion factor in a medical or engineering calculation.","Claim to factor numbers in a way that breaks security without authorization."],"requiresHuman":["Using conversion factors in dosing, structural or financial decisions."]},"ethics":{"considerations":["Wrong conversion factors have caused medical errors and engineering failures.","Deflators shape how wages and living standards are judged."],"affectedParties":["Students","Patients and engineers","Users of statistics"]},"owners":{"steward":"Nobody: a mathematical idea held in common; statistical agencies publish official deflators.","roles":[],"masterSystems":[]},"relations":[{"target":"oewn-13603216-n","type":"parent","note":"registry parent class"},{"target":"mathematical object","type":"related","note":"category"},{"target":"proportion","type":"related","note":"constants of proportionality"},{"target":"real","type":"related","note":"numbers factored"},{"target":"budget","type":"related","note":"deflators in financial calculations"}],"interaction":{"identity":{"applicability":"required","items":["Vercy registry: vr.tr.factor","Open English WordNet: oewn-13614422-n"]},"properties":{"applicability":"not-applicable","items":[]},"recognition":{"applicability":"optional","items":["Number or symbol multiplied to form a product","Arithmetic, algebra, conversion","A causal factor is an influence; a factor in business is a financing agent","Not physical; numbers and symbols in products."]},"capabilities":{"applicability":"required","items":["explain factors","support factoring","describe conversion factors and deflators","separate other senses"]},"hazards":{"applicability":"required","items":["Confusing senses of factor","Factoring errors","Misapplied conversion factors"]},"interfaces":{"applicability":"required","items":["Mathematical conventions","Statistical standards for deflators","No regulation"]},"context":{"applicability":"required","items":["Multiplicands forming a product.","integer factors and 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