Mathematics
- Domain (ring theory), a nontrivial ring without left or right zero divisors
- 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
- Atomic domain, an integral domain in which every non-zero non-unit is a finite product of irreducible elements
- 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
- Bézout domain, an integral domain in which the sum of two principal ideals is again a principal ideal
- Domain (mathematical analysis), an open connected set
- Domain coloring, a technique for visualizing functions of a complex variable
- Domain decomposition methods, solve a boundary value problem by splitting it into smaller problems on subdomains
- Domain of a function, also called the source, the set of input values for which the function is defined
- Domain of discourse, an analytic tool that indicates the relevant set of entities that are being dealt with by quantifiers
- Domain relational calculus, a calculus that was introduced as a declarative database query language for the relational data model
- Domain theory, a branch of mathematics that studies special kinds of partially ordered sets (posets) commonly called domains
- 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
- Invariance of domain, a theorem in topology about homeomorphic subsets of Euclidean space
- Time domain, the analysis of mathematical functions with respect to time
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Famous quotes containing the word mathematics:
“Why does man freeze to death trying to reach the North Pole? Why does man drive himself to suffer the steam and heat of the Amazon? Why does he stagger his mind with the mathematics of the sky? Once the question mark has arisen in the human brain the answer must be found, if it takes a hundred years. A thousand years.”
—Walter Reisch (1903–1963)
“In mathematics he was greater
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—Samuel Butler (1612–1680)