Domain
A domain is a set of values, such as values allowed for a variable or accepted as inputs to a function.
Geometry for Programmers
The domain of a function is the set of input values for which the function is defined.
- How it is used
- Classifies geometric functions by the spaces from which they accept inputs and to which they send outputs.
- How deep it goes
- Defines domains through sine and develops whole-space, vector-field, and parametric-surface uses without formal relation theory.
- Examples
- Uses sine over ℝ, translation of a square, vector and scalar fields, and surfaces parameterized by (u, v).
- What you can do after
- Evaluate/understand which inputs a geometric rule covers and distinguish whole-space transformations from parameterized surfaces.
Classic Computer Science Problems in Swift: Essential techniques for practicing programmers
In a constraint-satisfaction problem, a domain is the set of possible values that may be assigned to a variable.
- How it is used
- Models the possible assignments available to each variable while constraints determine which combinations remain valid.
- How deep it goes
- Defines domains and stores them in Swift dictionaries, then uses them during recursive value-by-value backtracking.
- Examples
- Uses meeting hours, map colors, and word-search grid locations as domain values.
- What you can do after
- Build a CSP by assigning each variable an explicit collection of candidate values for backtracking search.
Related concepts
- constraint-satisfaction problempart of · A constraint-satisfaction problem is a problem defined by variables, domains of possible values, and constraints, with the goal of finding an assignment that satisfies the constraints.
- functionpart of · A function is a callable program unit that performs an operation, may accept inputs, and can produce a result or side effect.
- mathematical functionconfigures · A mathematical function is a mapping that assigns exactly one output to each permitted input in its domain.
- domaincontrasts with · A domain is a subject area or problem context with relevant concepts, rules, activities, and terminology that software represents or supports.
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