## Mathematics::Domain

### ::concepts

**Domain**::**domain** Which::integral Auckland::every Ideal::mount Album::mangere Public::non-zero**Mathematics**

- Domain of a function, the set of input values for which the function is defined
- Domain of discourse, the set of entities over which logic variables may range
- Domain (mathematical analysis), an open connected set
- Domain (ring theory), a nontrivial ring without left or right zero divisors
- Atomic domain, an integral domain in which every non-zero non-unit is a finite product of irreducible elements
- Bézout domain, an integral domain in which the sum of two principal ideals is again a principal ideal
- Euclidean domain, an integral domain which allows a suitable generalization of the Euclidean algorithm
- Dedekind domain, an integral domain in which every nonzero proper ideal factors into a product of prime ideals
- GCD domain, an integral domain in which every two non-zero elements have a greatest common divisor
- Integral domain, a non-trivial commutative ring without zero divisors
- Principal ideal domain, an integral domain in which every ideal is principal
- Unique factorization domain, an integral domain in which every non-zero element can be written as a product of irreducible elements in essentially a unique way

- Frequency domain, the analysis of mathematical functions with respect to frequency, rather than time
- Fundamental domain, a symmetry group of an object is a part or pattern, as small or irredundant as possible, which determines the whole object based on the symmetry
- Time domain, the analysis of mathematical functions with respect to time
- Domain theory, studying certain kinds of partial ordered sets

**Domain sections**

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