KnowraFree variableLinked fromLinked fromThe 15 pages that link to Free variable, each with the reason it gives.All 15Broader topic 2Related 7Compared with 6First-order logicRelated: A formula with free variables depends on assignments to those variables.Gaussian eliminationBroader topic: Nonpivot columns identify the degrees of freedom in infinitely many solutions.Variable (mathematics)Broader topic: Free variables can represent inputs or unspecified quantities in formulas.Lambda calculusRelated: Free variables determine which substitutions must avoid accidental capture.Existential quantificationCompared with: Unlike its bound variable, a free variable requires an external assignment.Universal quantificationCompared with: A formula with free variables depends on an assignment rather than making a closed universal claim.Domain of discourseCompared with: Unlike bound variables, free variables receive values through an assignment from the domain.Bound variableCompared with: Free occurrences depend on an external assignment, unlike bound occurrences.Axiom schemaRelated: Restrictions on free variables can determine which substitutions preserve an axiom instance.Axiom schema of specificationRelated: A schema instance may use a formula with parameters, whose values remain fixed.Prenex normal formRelated: Renaming variables prevents outward moves from capturing free occurrences.Free Will TheoremRelated: The theorem assumes experimenters’ settings are not determined by the particles’ prior state.Skolem normal formCompared with: Free variables are not existential witnesses to eliminate during the transformation.Rouché–Capelli theoremRelated: Each free variable contributes one dimension to the solution set.Universe (mathematics and logic)Compared with: Unlike bound variables, its value must be supplied to evaluate a formula.