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The term domain is also commonly used in a different sense in mathematical analysis: a domain is a non-empty connected open set in a topological space. In particular, in real and complex analysis , a domain is a non-empty connected open subset of the real coordinate space R n {\displaystyle \mathbb {R} ^{n}} or the complex coordinate space C n ...
In complex analysis, a complex domain (or simply domain) is any connected open subset of the complex plane C. For example, the entire complex plane is a domain, as is the open unit disk, the open upper half-plane, and so forth. Often, a complex domain serves as the domain of definition for a holomorphic function.
A bar chart can represent a function whose domain is a finite set, the natural numbers, or the integers. In this case, an element x of the domain is represented by an interval of the x -axis, and the corresponding value of the function, f ( x ) , is represented by a rectangle whose base is the interval corresponding to x and whose height is f ...
The domain com is a top-level domain (TLD) in the Domain Name System (DNS) of the Internet. Created in the first group of Internet domains in March of 1985, its name is derived from the word commercial, [1] indicating its original intended purpose for subdomains registered by commercial organizations. Later, the domain opened for general purposes.
The inverse Fourier transform converts the frequency-domain function back to the time-domain function. A spectrum analyzer is a tool commonly used to visualize electronic signals in the frequency domain. A frequency-domain representation may describe either a static function or a particular time period of a dynamic function (signal or system).
The ".me" domain became active on 24 September 2007, and a "Public Invitation for selection of the Agent for domain registration under the national Internet domain of Montenegro" was posted on 14 November. doMEn d.o.o., as a Montenegro-based joint venture whose partners are Afilias, GoDaddy.com, and ME-net d.o.o., was selected as the new ...
More generally, evaluating at each element of a given subset of its domain produces a set, called the "image of under (or through) ". Similarly, the inverse image (or preimage ) of a given subset B {\displaystyle B} of the codomain Y {\displaystyle Y} is the set of all elements of X {\displaystyle X} that map to a member of B . {\displaystyle B.}
Atomic domain, an integral domain in which every nonzero 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