Notation

The term notation can be used in several contexts. Commonly, "notation" refers to the typographical conventions or rules of symbol usage that are followed, e.g., within a book or article. Notation may refer to notation systems, meaning an interpreted system of tokens having a syntax and semantics.

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;Examples of this typographical conventions include:

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• Infix notation for representing calculations in an almost linguistic format, such as a+b-c
• Prefix notation or Polish notation, which places the operator before the operands, such as + a b
• Postfix notation or reverse Polish notation, which places the operator after the operands, such as a b +
• Numeral systems, notation for writing numbers, including
• Positional notation, which made writing numbers more systematic than a tally method like Roman numerals
• binary notation, a positional notation in base two
• decimal notation, a positional notation in base ten
• scientific notation for expressing large and small numbers
• See also Math symbols - for general tokens and their definitions.

;Examples of notation systems

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• In mathematics, mathematical notation is used to represent mathematical ideas, such as:
• Conway's chained arrow, Knuth's up-arrow notation and Steinhaus polygon notation are systems to iterate exponentiation, for representing very large numbers.
• Cartesian Coordinate System, for representing position and other spatial concepts in analytic geometry
• Leibnitz notation is the standard representation for Calculus
• Big O notation, used for example in analysis to represent less significant elements of an expression, to indicate that they will be neglected
• Z notation - a formal notation for specifying objects using Zermelo-Fraenkel set theory and first-order predicate logic
• In physics physics notation:
• In quantum mechanics, Dirac's Bra-ket notation is another representation of probability amplititudes
• In general relativity, for example, Tensor notation is a general way to represent a gravitational field
• For chemistry, see Chemical formula. The Lewis notation denotes chemical bonds
• Musical notation - to represent music in a musical composition
• Dance notation - to document various forms of is used to dance movement such as Labanotation, Benesh Notation, and Eshkol-Wachman notation.

Symbol: A symbol, in its basic sense, is a conventional representation of a concept or quantity; i.e., an idea, object, concept, quality, etc. In more psychological and philosophical terms, all concepts are symbolic in nature and representations for these concepts are simply token artifacts that are allegor...

Notation system: Notation systems are an interpreted system of tokens having a syntax and a semantics....

Token: Token can mean one of several things:...