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. Notation systems are an interpreted system of tokens having a syntax and a semantics. ... Token can mean one of several things: In computer science, specifically lexical analysis, a token is usually a word or an atomic element within a string. ... Syntax, originating from the Greek words συν (syn, meaning co- or together) and τάξις (táxis, meaning sequence, order, arrangement), can in linguistics be described as the study of the rules, or patterned relations that govern the way the words in a sentence come together. ... In the main, semantics (from the Greek semantikos, or significant meaning, derived from sema, sign) is the study of meaning, in some sense of that term. ...

Examples of this typographical conventions include

• 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

• 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

The phrase Notation can also refer to Infix notation is the arithmetic formula notation known to most people, in which operators are written infix-style between the operands they act on. ... Polish notation, also known as prefix notation was created by Jan Łukasiewicz. ... Polish notation, also known as prefix notation, is a method of mathematical expression. ... In mathematics, an operator is some kind of function; if it comes with a specified type of operand as function domain, it is no more than another way of talking of functions of a given type. ... In mathematics, an operand is one of the inputs of an operator. ... Reverse Polish notation (RPN) , also known as postfix notation, is an arithmetic formula notation, derived from the Polish notation introduced in 1920 by the Polish mathematician Jan Łukasiewicz. ... Reverse Polish notation (RPN), also known as postfix notation, was invented by Australian philosopher and computer scientist Charles Hamblin in the mid-1950s, to enable zero-address memory stores. ... In mathematics, an operator is some kind of function; if it comes with a specified type of operand as function domain, it is no more than another way of talking of functions of a given type. ... In mathematics, an operand is one of the inputs of an operator. ... A numeral is a symbol or group of symbols that represents a number. ... Look up Number in Wiktionary, the free dictionary A number originally was a count or a measurement. ... Positional notation is a system in which each position has a value represented by a unique symbol or character. ... Tally marks are a variation of the unary numeral system. ... The system of Roman numerals is a numeral system originating in ancient Rome, and was adapted from Etruscan numerals. ... In mathematics, computer science, telecommunication etc. ... Decimal, or denary, notation is the most common way of writing the base 10 numeral system, which uses various symbols for ten distinct quantities (0, 1, 2, 3, 4, 5, 6, 7, 8 and 9, called digits) together with the decimal point and the sign symbols + (plus) and − (minus) to... To meet Wikipedias quality standards, this article or section may require cleanup. ... The following table lists many specialized symbols commonly used in mathematics. ... Notation systems are an interpreted system of tokens having a syntax and a semantics. ... Mathematics is often defined as the study of topics such as quantity, structure, space, and change. ... Mathematical notation is used in mathematics, and throughout the physical sciences, engineering, and economics. ... Conway chained arrow notation, created by mathematician John Conway, is a means of expressing certain extremely large numbers. ... In mathematics, Knuths up-arrow notation is a notation for very large integers introduced by Donald Knuth in 1976. ... In mathematics, Mosers polygon notation is a means of expressing certain extremely large numbers. ... In mathematics, exponentiation is a process generalized from repeated (or iterated) multiplication, in much the same way that multiplication is a process generalized from repeated addition. ... Large numbers are numbers that are large compared with the numbers used in everyday life. ... Cartesian means relating to the French mathematician and philosopher Descartes, who, among other things, worked to merge algebra and Euclidean geometry. ... Analytic geometry, also called coordinate geometry and earlier referred to as Cartesian geometry, is the study of geometry using the principles of algebra. ... In calculus, the Leibniz notation, named in honor of the 17th century German philosopher and mathematician Gottfried Wilhelm Leibniz (pronounced LIPE nits) was originally the use of dx and dy and so forth to represent infinitely small increments of quantities x and y, just as Δx and Δy represent finite... Integral and differential calculus is a central branch of mathematics, developed from algebra and geometry. ... Big O notation is a mathematical notation used to describe the asymptotic behavior of functions. ... An analysis is a critical evaluation, usually made by breaking a subject (either material or intellectual) down into its constituent parts, then describing the parts and their relationship to the whole. ... The Z notation (universally pronounced zed, named after Zermelo-Fränkel set theory) is a formal specification language used for describing and modelling computing systems. ... WordNet gives four main senses for the English noun object: a physical entity; something that is within the grasp of the senses; an aim, target or objective — see Object (task); a grammatical Object — either a direct object or an indirect object the focus of cognitions or feelings. ... The Zermelo-Fraenkel axioms of set theory (ZF) are the standard axioms of axiomatic set theory on which, together with the axiom of choice, all of ordinary mathematics is based in modern formulations. ... First-order predicate calculus or first-order logic (FOL) is a theory in symbolic logic that permits the formulation of quantified statements such as there is at least one X such that. ... A black hole concept drawing by NASA. Physics (from the Greek, φυσικός (physikos), natural, and φύσις (physis), nature) is the science of the natural world dealing with the fundamental constituents of the universe, the forces they exert on one another, and the results produced by these forces. ... Fig. ... Dirac is a prototype algorithm for the encoding and decoding (see codec) of raw video and sound. ... Bra-ket notation is the standard notation for describing quantum states in the theory of quantum mechanics. ... In physics, the term relativity is used in several, related contexts: Galileo first developed the principle of relativity, which is the postulate that the laws of physics are the same for all observers. ... This is a glossary of tensor theory. ... The gravitational field is a field that causes bodies with mass to attract each other. ... Chemistry (derived from the Arabic word kimia, alchemy, where al is Arabic for the) is the science of matter that deals with the composition, structure, and properties of substances and with the transformations that they undergo. ... A chemical formula (also called molecular formula) is a concise way of expressing information about the atoms that constitute a particular chemical compound. ... A chemical bond is the phenomenon of atoms being held together in molecules, crystals or in solid metal. ...

• Chess notation - to represent moves in a game of chess
• 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.
• The codename of an MI5 agent [1]