Notation system explained
In linguistics and semiotics, a notation system is a system of graphics or symbols, characters and abbreviated expressions, used (for example) in artistic and scientific disciplines to represent technical facts and quantities by convention.[1] [2] Therefore, a notation is a collection of related symbols that are each given an arbitrary meaning, created to facilitate structured communication within a domain knowledge or field of study.
Standard notations refer to general agreements in the way things are written or denoted. The term is generally used in technical and scientific areas of study like mathematics, physics, chemistry and biology, but can also be seen in areas like business, economics and music.
Written communication
Writing systems
- Phonographic writing systems, by definition, use symbols to represent components of auditory language, i.e. speech, which in turn refers to things or ideas. The two main kinds of phonographic notational system are the alphabet and the syllabary. Some written languages are more consistent in their correlation of written symbols (or graphemes) with sound (or phonemes), and are therefore considered to have better phonemic orthography.
- Ideographic writing, by definition, refers to things or ideas independently of their pronunciation in any language. Some ideographic systems are also pictograms that convey meaning through their pictorial resemblance to a physical object.
Linguistics
- Various brackets, parentheses, slashes, and lines are used around words and letters in linguistics to distinguish written from spoken forms, etc. See .
Biology and medicine
Chemistry
- A chemical formula describes a chemical compound using element symbols and subscripts, e.g. for water or for glucose
- SMILES is a notation for describing the structure of a molecule with a plain text string, e.g. N=N for nitrogen or CCO for ethanol
Computing
- BNF (Backus normal form, or Backus–Naur form) and EBNF (extended Backus-Naur form) are the two main notation techniques for context-free grammars.
- Drakon-charts are a graphical notation of algorithms and procedural knowledge.
- Hungarian notation is an identifier naming convention in computer programming, that represents the type or intended use of a variable with a specific pattern within its name.
- Mathematical markup languages are computer notations for representing mathematical formulae.
- Various notations have been developed to specify regular expressions.
- The APL programming language provided a rich set of very concise new notations
Logic
A variety of symbols are used to express logical ideas; see the List of logic symbols
Management
- Time and motion study symbols such as therbligs
Mathematics
- Mathematical notation is used to represent various kinds of mathematical ideas.
- Systems to represent very large numbers
- Numeral systems, notation for writing numbers, including
- Arabic numerals
- Roman numerals
- Scientific notation for expressing large and small numbers
- Sign-value notation, using signs or symbols to represent numbers
- Positional notation also known as place-value notation, in which each position is related to the next by a multiplier which is called the base of that numeral system
- Binary notation, a positional notation in base two
- Octal notation, a positional notation in base eight, used in some computers
- Decimal notation, a positional notation in base ten
- Hexadecimal notation, a positional notation in base sixteen, commonly used in computers
- Sexagesimal notation, an ancient numeral system in base sixty
- See also Table of mathematical symbols - for general tokens and their definitions...
Physics
Typographical conventions
- Infix notation, the common arithmetic and logical formula notation, such as "a + b − c".
- Polish notation or "prefix notation", which places the operator before the operands (arguments), such as "+ a b".
- Reverse Polish notation or "postfix notation", which places the operator after the operands, such as "a b +".
Sports and games
Graphical notations
Music
- Musical notation permits a composer to express musical ideas in a musical composition, which can be read and interpreted during performance by a trained musician; there are many different ways to do this (hundreds have been proposed), although staff notation provides by far the most widely used system of modern musical symbols.
Dance and movement
Science
- Feynman diagrams permit a graphical representation of a perturbative contribution to the transition amplitude or correlation function of a quantum mechanical or statistical field theory
- Structural formulas are graphical representations of molecules
- Venn diagrams shows logical relations between a finite collection of sets.
- Drakon-charts are a graphical representation of algorithms and procedural knowledge.
- Unified Modeling Language is a standard notation for many types of diagrams
Other systems
See also
Further reading
Notes and References
- Book: Dictionary of Linguistics and Phonetics . John Wiley & Sons . Crystal, David . 2011. 9781444356755 .
- Web site: Notation . Encyclopædia Britannica . . 6 September 2013.
