{"schema":"https://ver.cy/schemas/card/1.0.0","id":"vr.tr.addition","code":"thing-q32043","url":"https://ver.cy/models/thing/q32043/","name":"addition","alternateNames":["vector addition","addition of complex numbers","matrix addition"],"kind":"thing","status":"published","version":"0.2.0-wave.1","language":"en","classifiers":{"family":"Thing Registry","category":"Cross-cutting context","entryKind":"thing","plane":"XCT","domain":["XCT.QTY"],"industry":[],"navPath":"","tags":[],"facets":{}},"whatItIs":"The basic arithmetic operation of combining quantities to give their sum, written a + b; it extends to vectors, matrices, complex numbers and other structures with defined addition.","purpose":"Let an agent handle addition by domain, properties and methods, from arithmetic to algebraic structures.","scope":{"in":[],"out":[],"boundaries":[]},"distinguishingFeatures":["Binary operation giving a sum","Commutative and associative for numbers","Identity element zero","Defined differently in different structures"],"structure":{"bundles":[{"id":"domain","name":"Domain","description":"What is added.","layers":[{"id":"objects","name":"Objects","description":"Numbers, vectors.","findings":[{"id":"objects-finding","name":"Objects","description":"Domain.","questions":[{"text":"What kind of objects are being added?","kind":"definition"},{"text":"How is addition defined for them?","kind":"definition"}]}]},{"id":"units","name":"Units","description":"Compatible quantities.","findings":[{"id":"units-finding","name":"Units","description":"Units.","questions":[{"text":"Are the quantities in the same units?","kind":"boundary"},{"text":"How are they converted?","kind":"action"}]}]}]},{"id":"properties","name":"Properties","description":"Laws.","layers":[{"id":"laws","name":"Laws","description":"Commutative, associative.","findings":[{"id":"laws-finding","name":"Laws","description":"Algebraic laws.","questions":[{"text":"Is addition commutative and associative here?","kind":"boundary"},{"text":"What is the identity element?","kind":"definition"}]}]},{"id":"inverse","name":"Inverse","description":"Subtraction.","findings":[{"id":"inverse-finding","name":"Inverse","description":"Inverses.","questions":[{"text":"Does every element have an additive inverse?","kind":"boundary"},{"text":"In which structure?","kind":"definition"}]}]}]},{"id":"computing","name":"Computing","description":"Machine addition.","layers":[{"id":"precision","name":"Precision","description":"Floating point.","findings":[{"id":"precision-finding","name":"Precision","description":"Precision.","questions":[{"text":"Could floating-point rounding affect the sum?","kind":"boundary"},{"text":"Is exact arithmetic needed?","kind":"action"}]}]},{"id":"overflow","name":"Overflow","description":"Limits.","findings":[{"id":"overflow-finding","name":"Overflow","description":"Overflow.","questions":[{"text":"Could the sum overflow the data type?","kind":"boundary"},{"text":"How is it handled?","kind":"action"}]}]}]},{"id":"learning","name":"Learning","description":"Teaching.","layers":[{"id":"strategies","name":"Strategies","description":"Methods.","findings":[{"id":"strategies-finding","name":"Strategies","description":"Strategies.","questions":[{"text":"Which strategies help learners add?","kind":"action"},{"text":"How is carrying taught?","kind":"action"}]}]},{"id":"checking","name":"Checking","description":"Errors.","findings":[{"id":"checking-finding","name":"Checking","description":"Checking sums.","questions":[{"text":"How can a sum be checked?","kind":"action"},{"text":"What errors are common?","kind":"boundary"}]}]}]}]},"agentConduct":{"may":["Add numbers and other quantities correctly, stating units.","Check sums in records it is authorized to audit."],"mustNot":["Add quantities with different units without converting.","Alter totals in financial or official records.","Present copied answers as a student's own work in graded assessment."],"requiresHuman":["Correcting totals in financial or official records."]},"ethics":{"considerations":["Wrong sums in bills, pay or votes can wrong many people."],"affectedParties":["People relying on totals","Students"]},"owners":{"steward":"Nobody owns it; 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sense: Wikidata description; 2 live sources; review by codex: pass","interaction.properties":"Plane XCT: no invented physical properties."},"score":1.0}}