Look up Data stream in Wiktionary, the free dictionary.
In telecommunications, a data stream is a sequence of digitally encoded coherentsignals (packets of data or datapackets) used to transmit or receive information that is in transmission. Wikipedia does not have an article with this exact name. ... Wiktionary is a Wikimedia Foundation project intended to be a free wiki dictionary (hence: Wiktionary) (including thesaurus and lexicon) in every language. ... Telecommunication involves the transmission of signals over a distance for the purpose of communication. ... Coherence is from Latin cohaerere = stick together, to be connected with). ... In telecommunication, signalling (or signaling) has the following meanings: The use of signals for controlling communications. ... A packet is the fundamental unit of information carriage in all modern computer networks that use packet switching. ... Data is the plural of datum. ... Packet switching, in computer networking and telecommunications, is the now-dominant communications paradigm, in which packets (units of information carriage) are individually routed between nodes over data links which might be shared by many other nodes. ... In communications, transmission is the act of transmitting electrical messages (and the associated phenonomena of radiant energy that pass through media). ... Information as a concept bears a diversity of meanings, from everyday usage to technical settings. ... In communications, transmission is the act of transmitting electrical messages (and the associated phenonomena of radiant energy that pass through media). ...
According to Planetmath A data stream is an ordered pair where: s is a sequence of tuples, Δ is the sequence of time intervals (i.e. Rational or Real numbers) and each Δn > 0.
Traditional database systems and data processing algorithms are ill-equipped to handle complex and numerous continuous queries over datastreams, and many aspects of data management and processing need to be reconsidered in their presence.
The similarity between two streams is defined as the similarity between the sets of distinct elements seen over the two streams; the ratio of the size of the intersection to the size of the union.
We study clustering under the datastream model of computation where given a sequence of points, the objective is to maintain a consistently good clustering of the sequence observed so far using little memory and time.
where: 
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