SettingsMathematical notation
-yllion
-yllion is a proposal from Donald Knuth for the terminology and symbols of an alternate decimal superbase system.
-yllion is a proposal from Donald Knuth for the terminology and symbols of an alternate decimal superbase system.
Abstract index notation
Abstract index notation is a mathematical notation for tensors and spinors that uses indices to indicate their types, rather than their components in a particular basis.
Abstract index notation is a mathematical notation for tensors and spinors that uses indices to indicate their types, rather than their components in a particular basis.
Abuse of notation
In mathematics, abuse of notation occurs when an author uses a mathematical notation in a way that is not formally correct but that seems likely to simplify the exposition or suggest the correct...
In mathematics, abuse of notation occurs when an author uses a mathematical notation in a way that is not formally correct but that seems likely to simplify the exposition or suggest the correct...
Actuarial notation
Actuarial notation is a shorthand method to allow actuaries to record mathematical formulas that deal with interest rates and life tables.
Actuarial notation is a shorthand method to allow actuaries to record mathematical formulas that deal with interest rates and life tables.
Almost all
In mathematics, the phrase "almost all" has a number of specialised uses.
In mathematics, the phrase "almost all" has a number of specialised uses.
Big O in probability notation
The order in probability notation is used in probability theory and statistical theory in direct parallel to the big-O notation which is standard in mathematics.
The order in probability notation is used in probability theory and statistical theory in direct parallel to the big-O notation which is standard in mathematics.
Big O notation
In mathematics, big O notation is used to describe the limiting behavior of a function when the argument tends towards a particular value or infinity, usually in terms of simpler functions.
In mathematics, big O notation is used to describe the limiting behavior of a function when the argument tends towards a particular value or infinity, usually in terms of simpler functions.
Blackboard bold
Blackboard bold is a typeface style that is often used for certain symbols in mathematical texts, in which certain lines of the symbol (usually vertical or near-vertical lines) are doubled.
Blackboard bold is a typeface style that is often used for certain symbols in mathematical texts, in which certain lines of the symbol (usually vertical or near-vertical lines) are doubled.
Bra-ket notation
Bra-ket notation is a standard notation for describing quantum states in the theory of quantum mechanics composed of angle brackets and vertical bars.
Bra-ket notation is a standard notation for describing quantum states in the theory of quantum mechanics composed of angle brackets and vertical bars.
Bracket
Brackets are tall punctuation marks used in matched pairs within text, to set apart or interject other text.
Brackets are tall punctuation marks used in matched pairs within text, to set apart or interject other text.
Calculator input methods
On a formula calculator one types in an expression and then presses 'Enter' to evaluate the expression.
On a formula calculator one types in an expression and then presses 'Enter' to evaluate the expression.
Celeritas
Celeritas /kele'ritas/ is a Latin word, translated as "swiftness" or "speed".
Celeritas /kele'ritas/ is a Latin word, translated as "swiftness" or "speed".
Christoffel symbols
In mathematics and physics, the Christoffel symbols, named for Elwin Bruno Christoffel, are numerical arrays of real numbers that describe, in coordinates, the effects of parallel transport in c...
In mathematics and physics, the Christoffel symbols, named for Elwin Bruno Christoffel, are numerical arrays of real numbers that describe, in coordinates, the effects of parallel transport in c...
Conway chained arrow notation
Conway chained arrow notation, created by mathematician John Horton Conway, is a means of expressing certain extremely large numbers.
Conway chained arrow notation, created by mathematician John Horton Conway, is a means of expressing certain extremely large numbers.
Conway polyhedron notation
Conway polyhedron notation is used to describe polyhedra based on a seed polyhedron modified by various operations.
Conway polyhedron notation is used to describe polyhedra based on a seed polyhedron modified by various operations.
Cutler's bar notation
In mathematics, Cutler's bar notation is a notation system for large numbers, introduced by Mark Cutler in 2004.
In mathematics, Cutler's bar notation is a notation system for large numbers, introduced by Mark Cutler in 2004.
Del
In vector calculus, del is a vector differential operator, usually represented by the nabla symbol ∇.
In vector calculus, del is a vector differential operator, usually represented by the nabla symbol ∇.
DeWitt notation
In the DeWitt notation (named after theoretical physicist Bryce DeWitt), φα(x) is written as φi where i is now understood as an index covering both α and x.
In the DeWitt notation (named after theoretical physicist Bryce DeWitt), φα(x) is written as φi where i is now understood as an index covering both α and x.
Dowker notation
In the mathematical field of knot theory, the Dowker notation, also called the Dowker–Thistlethwaite notation or code, for a knot is a sequence of even integers.
In the mathematical field of knot theory, the Dowker notation, also called the Dowker–Thistlethwaite notation or code, for a knot is a sequence of even integers.
Einstein notation
In mathematics, especially in applications of linear algebra to physics, the Einstein notation or Einstein summation convention is a notational convention useful when dealing with coordina...
In mathematics, especially in applications of linear algebra to physics, the Einstein notation or Einstein summation convention is a notational convention useful when dealing with coordina...
Ellipsis
Ellipsis is a series of marks that usually indicate an intentional omission of a word, sentence or whole section from the original text being quoted.
Ellipsis is a series of marks that usually indicate an intentional omission of a word, sentence or whole section from the original text being quoted.
Face configuration
In geometry, a face configuration is notational description of a face-transitive polyhedron.
In geometry, a face configuration is notational description of a face-transitive polyhedron.
Floor and ceiling functions
In mathematics and computer science, the floor and ceiling functions map a real number to the largest previous or the smallest following integer, respectively.
In mathematics and computer science, the floor and ceiling functions map a real number to the largest previous or the smallest following integer, respectively.
Formula
In mathematics, a formula (plural: formulae or formulas) is an entity constructed using the symbols and formation rules of a given logical language.
In mathematics, a formula (plural: formulae or formulas) is an entity constructed using the symbols and formation rules of a given logical language.
Formula calculator
A formula calculator is a software calculator that can perform a calculation in two steps: 1.Enter the calculation by typing it in from the keyboard.
A formula calculator is a software calculator that can perform a calculation in two steps: 1.Enter the calculation by typing it in from the keyboard.
Free variables and bound variables
In mathematics, and in other disciplines involving formal languages, including mathematical logic and computer science, a free variable is a notation that specifies places in an expression where...
In mathematics, and in other disciplines involving formal languages, including mathematical logic and computer science, a free variable is a notation that specifies places in an expression where...
Gardner Salinas braille
The Gardner Salinas Braille codes are a method of encoding mathematical and scientific notation linearly using eight-dot Braille cells for tactile reading by the visually impaired.
The Gardner Salinas Braille codes are a method of encoding mathematical and scientific notation linearly using eight-dot Braille cells for tactile reading by the visually impaired.
GS8 Braille
The GS8 or Gardner-Salinas Braille code is a method of encoding mathematical and scientific notation linearly using eight-dot Braille cells for tactile reading by the visually impaired.
The GS8 or Gardner-Salinas Braille code is a method of encoding mathematical and scientific notation linearly using eight-dot Braille cells for tactile reading by the visually impaired.
Hardy notation
In mathematics, computer science, and related fields, big-O notation (also known as big Oh notation, big Omicron notation, Landau notation, Bachmann–Landau notation, and ...
In mathematics, computer science, and related fields, big-O notation (also known as big Oh notation, big Omicron notation, Landau notation, Bachmann–Landau notation, and ...
Hat operator
The hat operator is a mathematical notation with various uses in different branches of science and mathematics.
The hat operator is a mathematical notation with various uses in different branches of science and mathematics.
Hatch mark
Hatch marks, sometimes also called hash marks, or tick marks, are a form of mathematical notation.
Hatch marks, sometimes also called hash marks, or tick marks, are a form of mathematical notation.
History of mathematical notation
Mathematical notation comprises the symbols used to write mathematical equations and formulas.
Mathematical notation comprises the symbols used to write mathematical equations and formulas.
Index notation
Index notation is used in mathematics and computer programming to specify the elements of matrices or the components of a vector.
Index notation is used in mathematics and computer programming to specify the elements of matrices or the components of a vector.
Index set
In mathematics, the elements of a set A may be indexed or labeled by means of a set J that is on that account called an index set.
In mathematics, the elements of a set A may be indexed or labeled by means of a set J that is on that account called an index set.
Indexed family
In mathematics, an indexed family is a collection of values that are associated with indexes.
In mathematics, an indexed family is a collection of values that are associated with indexes.
Infix notation
Infix notation is the common arithmetic and logical formula notation, in which operators are written infix-style between the operands they act on (e.g.
Infix notation is the common arithmetic and logical formula notation, in which operators are written infix-style between the operands they act on (e.g.
ISO 31-11
ISO 31-11 was the part of international standard ISO 31 that defines mathematical signs and symbols for use in physical sciences and technology.
ISO 31-11 was the part of international standard ISO 31 that defines mathematical signs and symbols for use in physical sciences and technology.
Iverson bracket
In mathematics, the Iverson bracket, named after Kenneth E. Iverson, is a notation that denotes a number that is 1 if the condition in square brackets is satisfied, and 0 otherwise.
In mathematics, the Iverson bracket, named after Kenneth E. Iverson, is a notation that denotes a number that is 1 if the condition in square brackets is satisfied, and 0 otherwise.
Kendall's notation
In queueing theory, Kendall's notation is the standard system used to describe and classify the queueing model that a queueing system corresponds to.
In queueing theory, Kendall's notation is the standard system used to describe and classify the queueing model that a queueing system corresponds to.
Knuth's up-arrow notation
In mathematics, Knuth's up-arrow notation is a method of notation for very large integers, introduced by Donald Knuth in 1976.
In mathematics, Knuth's up-arrow notation is a method of notation for very large integers, introduced by Donald Knuth in 1976.
Kronecker delta
In mathematics, the Kronecker delta or Kronecker's delta, named after Leopold Kronecker, is a function of two variables, usually integers.
In mathematics, the Kronecker delta or Kronecker's delta, named after Leopold Kronecker, is a function of two variables, usually integers.
Large numbers
This article is about large numbers in the sense of numbers that are significantly larger than those ordinarily used in everyday life, for instance in simple counting or in monetary transactions.
This article is about large numbers in the sense of numbers that are significantly larger than those ordinarily used in everyday life, for instance in simple counting or in monetary transactions.
Leibniz's notation
In calculus, Leibniz's notation, named in honor of the 17th-century German philosopher and mathematician Gottfried Wilhelm Leibniz, uses the symbols dx and dy to represent "infinitely sm...
In calculus, Leibniz's notation, named in honor of the 17th-century German philosopher and mathematician Gottfried Wilhelm Leibniz, uses the symbols dx and dy to represent "infinitely sm...
Mathematical Alphanumeric Symbols
Mathematical Alphanumeric Symbols is a Unicode block of Latin and Greek letters and decimal digits that enable mathematicians to denote different notions with different letter styles (one exampl...
Mathematical Alphanumeric Symbols is a Unicode block of Latin and Greek letters and decimal digits that enable mathematicians to denote different notions with different letter styles (one exampl...
Mathematical notation
Mathematical notation is a system of symbolic representations of mathematical objects and ideas.
Mathematical notation is a system of symbolic representations of mathematical objects and ideas.
Modern Arabic mathematical notation
The designation modern Arabic mathematical notation is used for a mathematical notation based on the Arabic script that is widely used in the Arab world, especially at pre-university levels of e...
The designation modern Arabic mathematical notation is used for a mathematical notation based on the Arabic script that is widely used in the Arab world, especially at pre-university levels of e...
Multi-index notation
The mathematical notation of multi-indices simplifies formulae used in multivariable calculus, partial differential equations and the theory of distributions, by generalising the concept of non-...
The mathematical notation of multi-indices simplifies formulae used in multivariable calculus, partial differential equations and the theory of distributions, by generalising the concept of non-...
Nemeth Braille
The Nemeth Braille Code for Mathematics is a Braille code for encoding mathematical and scientific notation linearly using standard six-dot Braille cells for tactile reading by the visually impaired.
The Nemeth Braille Code for Mathematics is a Braille code for encoding mathematical and scientific notation linearly using standard six-dot Braille cells for tactile reading by the visually impaired.
Newman–Penrose formalism
The Newman-Penrose Formalism is a set of notation developed by Ezra T. Newman and Roger Penrose for General Relativity.
The Newman-Penrose Formalism is a set of notation developed by Ezra T. Newman and Roger Penrose for General Relativity.
Newton's notation
Newton's notation for differentiation, or dot notation, uses a dot placed over a function name to denote the time derivative of that function.
Newton's notation for differentiation, or dot notation, uses a dot placed over a function name to denote the time derivative of that function.
Notation for differentiation
In differential calculus, there is no single uniform notation for differentiation.
In differential calculus, there is no single uniform notation for differentiation.
Numeral system
A numeral system is a writing system for expressing numbers, that is a mathematical notation for representing numbers of a given set, using graphemes or symbols in a consistent manner.
A numeral system is a writing system for expressing numbers, that is a mathematical notation for representing numbers of a given set, using graphemes or symbols in a consistent manner.
Operand
In computing, an operand is the part of a computer instruction which specifies what data is to be manipulated or operated on, whilst at the same time representing the data itself.
In computing, an operand is the part of a computer instruction which specifies what data is to be manipulated or operated on, whilst at the same time representing the data itself.
Operator (mathematics)
In basic mathematics, an operator is a symbol or function representing a mathematical operation.
In basic mathematics, an operator is a symbol or function representing a mathematical operation.
Orbifold notation
In geometry, orbifold notation (or orbifold signature) is a system, invented by William Thurston and popularized by the mathematician John Conway, for representing types of symmetry groups...
In geometry, orbifold notation (or orbifold signature) is a system, invented by William Thurston and popularized by the mathematician John Conway, for representing types of symmetry groups...
Ordinal notation
In mathematical logic and set theory, an ordinal notation is a finite sequence of symbols from a finite alphabet which names an ordinal number according to some scheme which gives meaning to the...
In mathematical logic and set theory, an ordinal notation is a finite sequence of symbols from a finite alphabet which names an ordinal number according to some scheme which gives meaning to the...
Penrose graphical notation
In mathematics and physics, Penrose graphical notation or tensor diagram notation is a (usually handwritten) visual depiction of multilinear functions or tensors proposed by Roger Penrose.
In mathematics and physics, Penrose graphical notation or tensor diagram notation is a (usually handwritten) visual depiction of multilinear functions or tensors proposed by Roger Penrose.
Plate notation
Plate notation is a method of representing variables that repeat in a graphical model.
Plate notation is a method of representing variables that repeat in a graphical model.
Polish notation
Polish notation, also known as prefix notation, is a form of notation for logic, arithmetic, and algebra.
Polish notation, also known as prefix notation, is a form of notation for logic, arithmetic, and algebra.
Positional notation
Positional notation or place-value notation is a method of representing or encoding numbers.
Positional notation or place-value notation is a method of representing or encoding numbers.
Quipu
Quipus, sometimes called talking knots, were recording devices historically used in the region of Andean South America.
Quipus, sometimes called talking knots, were recording devices historically used in the region of Andean South America.
Reverse Polish notation
Reverse Polish notation is a mathematical notation wherein every operator follows all of its operands, in contrast to Polish notation, which puts the operator in the prefix position.
Reverse Polish notation is a mathematical notation wherein every operator follows all of its operands, in contrast to Polish notation, which puts the operator in the prefix position.
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form {p,q,r,...} that defines regular polytopes and tessellations.
In geometry, the Schläfli symbol is a notation of the form {p,q,r,...} that defines regular polytopes and tessellations.
Set-builder notation
In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by stating the properties that its members mu...
In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by stating the properties that its members mu...
Shriek map
They are thus accordingly sometimes called shriek maps, with "shriek" being slang for an exclamation mark, though other terms are used, depending on context.
They are thus accordingly sometimes called shriek maps, with "shriek" being slang for an exclamation mark, though other terms are used, depending on context.
Small number
Small numbers are numbers that are small compared with the numbers used in everyday life.
Small numbers are numbers that are small compared with the numbers used in everyday life.
Software calculator
A software calculator is a calculator that has been implemented as a software program, rather than as a physical hardware device.
A software calculator is a calculator that has been implemented as a software program, rather than as a physical hardware device.
Steinhaus-Moser notation
In mathematics, Steinhaus–Moser notation is a means of expressing certain extremely large numbers.
In mathematics, Steinhaus–Moser notation is a means of expressing certain extremely large numbers.
Steinhaus–Moser notation
In mathematics, Steinhaus–Moser notation is a means of expressing certain extremely large numbers.
In mathematics, Steinhaus–Moser notation is a means of expressing certain extremely large numbers.
Summation
Summation of an infinite sequence of values is not always possible, and when a value can be given for an infinite summation, this involves more than just the addition operation, namely also the ...
Summation of an infinite sequence of values is not always possible, and when a value can be given for an infinite summation, this involves more than just the addition operation, namely also the ...
Tetrad (index notation)
The dual basis for the tangent space is ei.
The dual basis for the tangent space is ei.
Tetrad formalism
The tetrad formalism is a non-coordinate approach to General Relativity.
The tetrad formalism is a non-coordinate approach to General Relativity.
Tuple
In mathematics and computer science, a tuple is an ordered list of elements.
In mathematics and computer science, a tuple is an ordered list of elements.
Typographical conventions in mathematical formulae
Typographical conventions in mathematical formulae provide uniformity across mathematical texts and help the readers of those texts to grasp new concepts quickly.
Typographical conventions in mathematical formulae provide uniformity across mathematical texts and help the readers of those texts to grasp new concepts quickly.
Van der Waerden notation
In theoretical physics, van der Waerden notation refers to the usage of two-component spinors in four spacetime dimensions.
In theoretical physics, van der Waerden notation refers to the usage of two-component spinors in four spacetime dimensions.
Vector notation
This page is an overview of the common notations used when working with vectors, which may be spatial or more abstract members of vector spaces.
This page is an overview of the common notations used when working with vectors, which may be spatial or more abstract members of vector spaces.
Vertex configuration
In geometry, a vertex configuration (or vertex type, or vertex description) is a short-hand notation for representing the vertex figure of a polyhedron or tiling as the sequence of ...
In geometry, a vertex configuration (or vertex type, or vertex description) is a short-hand notation for representing the vertex figure of a polyhedron or tiling as the sequence of ...
Voigt notation
In mathematics, Voigt notation or Voigt form in multilinear algebra is a way to represent a symmetric tensor by reducing its order.
In mathematics, Voigt notation or Voigt form in multilinear algebra is a way to represent a symmetric tensor by reducing its order.
Wythoff symbol
In geometry, the Wythoff symbol was first used by Coxeter, Longuet-Higgins and Miller in their enumeration of the uniform polyhedra.
In geometry, the Wythoff symbol was first used by Coxeter, Longuet-Higgins and Miller in their enumeration of the uniform polyhedra.
Zenzizenzizenzic
Zenzizenzizenzic is an obsolete form of mathematical notation representing the eighth power of a number (that is, the zenzizenzizenzic of a number x is the power x8), dating from a...
Zenzizenzizenzic is an obsolete form of mathematical notation representing the eighth power of a number (that is, the zenzizenzizenzic of a number x is the power x8), dating from a...
ΔP
ΔP (Delta P) is a mathematical term used to illustrate a change (Δ) in pressure (P).
ΔP (Delta P) is a mathematical term used to illustrate a change (Δ) in pressure (P).