Value (mathematics)

A quantity assigned to a variable, expression, function, or mathematical object. Its meaning depends on the object and the conditions under which it is evaluated.

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Variable (mathematics): A symbol that represents a quantity whose value may vary or remain unspecified. A variable can take different values as its context or assignment changes.
Assignment (computer science): An operation that associates a variable with a value. Assignments make explicit how a variable receives a value in formal systems.
Value (computer science): A datum treated as a completed result rather than an expression awaiting evaluation. Programming language theory distinguishes evaluated values from expressions that still compute.
Initial value problem: A differential equation together with conditions specifying an unknown solution at an initial point. Initial conditions fix solution values that determine a particular trajectory.
Set (mathematics): A collection of distinct objects considered as a mathematical entity. A value may belong to a set of permitted outputs or possible assignments.
Mathematical expression: A combination of symbols that represents a mathematical quantity or operation. An expression has a value once its symbols are assigned and its operations evaluated.
Substitution (mathematics): Replacing a symbol in an expression with another expression or specified quantity. Substitution supplies values for variables before an expression is evaluated.
Truth value: A value representing whether a proposition is true or false in a logical system. Truth values are a specialized kind of value assigned to statements.
Boundary value problem: A differential equation with conditions imposed at the boundaries of its domain. Boundary conditions constrain the values a solution takes at specified locations.
Range (mathematics): The set of outputs a function actually attains over its domain. The range gathers all values produced by a function.