The basis (or reference frame) of a (universal) algebra is a function b that takes some algebra elements as values and satisfies either one of the following two equivalent conditions. Here, the set of all is called basis set, whereas several authors call it the "basis". The set of its arguments i is called dimension set. Any function, with all its arguments in the whole, that takes algebra elements as values (even outside the basis set) will be denoted by m. Then, b will be an m.
Read more about this topic: Basis (universal Algebra)
Other articles related to "definitions, definition":
... Although topographic maps of the Chile and Argentina border region which contains the highest peaks are of notoriously poor accuracy, with elevation errors exceeding 100 metres (330 ft) in many cases, the current consensus based on the most recent measurements places Ojos del Salado as the 2nd highest peak and highest volcano in South America, significantly higher than Monte Pissis. ...
... Some definitions of language, such as early versions of Charles Hockett's "design features" definition, emphasize the spoken nature of language ... would not qualify as a language under these definitions, as it is primarily a written form of communication (to see why, try reading Maxwell's equations out loud) ... However, these definitions would also disqualify sign languages, which are now recognized as languages in their own right, independent of spoken language ...
... A theoretical (or conceptual) definition gives the meaning of a word in terms of the theories of a specific discipline ... This type of definition assumes both knowledge and acceptance of the theories that it depends on ... An example of a theoretical definition is that of "Heat" in physics, which actually puts forth an entire theory of heat (involving accelerating ...
... that cannot be confused with other words or definitions ... He gave emphasis on avoidance of words that have many definitions and compared the language of Scientology with the language of Math and other precise doctrines ... Scientology and Dianetics place a heavy emphasis on understanding word definitions ...
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