science

Notation system

Notation system is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Notation system rather than just read about it. In short: 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. 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 fie…

Key takeaways

Notation system belongs to science; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Notation system to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Notation system from memory before moving on to harder problems.

Reference excerpt

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. 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 International Phonetic Alphabet § Brackets and transcription delimiters.

Biology and medicine Nucleic acid notation Systems Biology Graphical Notation (SBGN) Sequence motif pattern-description notations Cytogenetic notation Energy Systems Language

Chemistry

A chemical formula describes a chemical compound using element symbols and subscripts, e.g. H2O for water or C6H12O6 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.

All types of notation in probability Cartesian coordinate system, for representing position and other spatial concepts in analytic geometry Notation for differentiation, common representations of the derivative in 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 Ordinal notation Set-builder notation, a formal notation for defining sets in set theory Systems to represent very large numbers Conway chained arrow notation, an arrow system Knuth's up-arrow notation, an arrow system Steinhaus–Moser notation, Polygon Numbers Symbol Levelled notation, The Ultimate Leveller Numeral systems, notation for writing numbers, including Arabic numerals Roman numerals Scientific notation for expressing large and small numbers Engineering notation 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 In geometry: Christoffel symbols Polyhedral symbol Schläfli symbol Geometric dimensioning and tolerancing Well-known text representation of geometry See also Table of mathematical symbols - for general tokens and their definitions.

Physics Bra–ket notation, or Dirac notation, is an alternative representation of probability distributions in quantum mechanics. Tensor index notation is used when formulating physics (particularly continuum mechanics, electromagnetism, relativistic quantum mechanics and field theory, and general relativity) in the language of tensors.

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 Baseball scorekeeping, to represent a game of baseball Aresti Catalogue, to represent aerobatic manoeuvres Chess notation, to represent moves in a game of chess Algebraic notation Portable Game Notation Descriptive notation Forsyth–Edwards Notation Siteswap notation represents a juggling pattern as a sequence of numbers Singmaster notation, to represent Rubik's Cube moves

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.

… excerpt ends here. Continue reading the full article.

Worked examples

Example 1 — a first encounter with Notation system

Start with the simplest possible case. Write down what Notation system claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Notation system before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Notation system ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Notation system

In research: Notation system appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Notation system in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Notation system is common in secondary-school and first-year university syllabi. It links to neighbouring topics Modeling languages, Notation, Written communication, so understanding it makes those chapters shorter.
In everyday life: Look for Notation system outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Notation system in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Notation system means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Notation system out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Notation system in simple terms?

Why does Notation system matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Notation system?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Notation system.