Mathematical notation

language for communicating instructions to a machine

right|thumb|upright=0.5|alt=Diagram: One column containing three apples, and another column containing two apples; put together, there are 5 apples in total.|3 + 2 = 5 with apples, a popular choice in textbooks

thumb|Four bags with three marbles per bag gives twelve marbles (4 × 3 = 12). thumb|Multiplication can also be thought of as Scale factor|scaling. Here, 2 is being multiplied by 3 using scaling, giving 6 as a result.

notation for expressing numbers

punctuation mark (!) to show strong feelings

thumb|upright|One of the most influential figures of computing science's founding generation, [[Edsger Dijkstra at the blackboard during a conference at ETH Zurich in 1994. In Dijkstra's own words, "A picture may be worth a thousand words, a formula is worth a thousand pictures."]]

A bracket is either of two tall fore- or back-facing punctuation marks commonly used to isolate a segment of text or data from its surroundings. They come in four main pairs of shapes, as given in the box to the right, which also gives their names, that vary between British and American English. Brackets, without further qualification, in British English refers to the ... marks and in American English the ... marks.

The ellipsis (, plural ellipses; from , , ), rendered , also known as suspension points, dots, points, periods of ellipsis, or ellipsis points, or, colloquially, dot-dot-dot, is a punctuation mark consisting of a series of three dots. An ellipsis can be used in many ways, such as for intentional omission of text or numbers, to imply a concept without using words, or to mark a pause in speech. Style guides differ on how to render an ellipsis both digitally and in print. In some cases, an ellipsis may have four or more dots, spaced dots, or some incorporation with other punctuation.

meanings of symbols used in mathematics

In mathematics, summation is the addition of a sequence of numbers, called addends or summands; the result is their sum or total. Beside numbers, other types of values can be summed as well: functions, vectors, matrices, polynomials and, in general, elements of any type of mathematical objects on which an operation denoted "+" is defined.

to represent the information in digits or numbers in musical notation

thumb|259x259px|Quipu in the Cleveland Museum of Art in Cleveland, Ohio. Quipu ( ), also spelled khipu (, ; , ), are record-keeping devices fashioned from knotted cords. They were historically used by various cultures in the central Andes of South America, most prominently by the Inca Empire.

function

method of writing numbers, especially very large or small ones

In mathematics, an operand is the object of a mathematical operation, i.e., it is the object or quantity that is operated on.

In mathematics, a tuple is a finite sequence (or ordered list) of numbers. More generally, it is a sequence of mathematical objects, called the elements of the tuple. An -tuple is a tuple of elements, where is a non-negative integer. There is only one 0-tuple, called the empty tuple. A 1-tuple and a 2-tuple are commonly called a singleton and an ordered pair, respectively. The term "infinite tuple" is occasionally used for "infinite sequences".

thumb|250px|alt=Drawing of the back an anthropomorphic caterpillar, seated on a toadstool amid grass and flowers, blowing smoke from a hookah; a blonde girl in an old-fashioned frock is standing on tiptoe to peer at the caterpillar over the toadstool's edge|Sir John Tenniel's illustration of the Caterpillar for [[Lewis Carroll's ''Alice's Adventures in Wonderland'' is noted for its ambiguous central figure, whose head can be viewed as either a man's face with a pointed nose and chin smoking a pipe or as the end of an actual caterpillar, with the first two right "true" legs visible (1865).]]

notation for quantum states

method for representing or encoding numbers

right|100px|thumb|Del operator,represented bythe nabla symbol Del, or nabla, is an operator used in mathematics (particularly in vector calculus) as a vector differential operator, usually represented by ∇ (the nabla symbol). When applied to a function defined on a one-dimensional domain, it denotes the standard derivative of the function as defined in calculus. When applied to a field (a function defined on a multi-dimensional domain), it may denote any one of three operations depending on the way it is applied: the gradient or (locally) steepest slope of a scalar field (or sometimes of a vec

form of Landau notation representing asymptotically equivalent or slower growth

mathematical notation in which every operator follows all of its operands

mapping from one vector space or module to another in mathematics

system of symbolic representations of mathematical objects and ideas

functions of a real returning respectively the largest smaller and the smallest larger integer

mathematical notation in which every operator precedes all of its operands

shorthand notation for tensor operations

notation representing flowers' structure

method of notation of very large integers

in Riemannian geometry, the coefficient of the Levi-Civita connection of a Riemannian metric

numeral form used for counting

collection of objects, each associated with an index from some index set

number which is significantly larger than those ordinarily used in everyday life

Mathematics notation with operators between operands

expression in the form of a series

mathematical notation

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mathematical notation: [P] has the value 1 if P is true, and 0 if P is false

mathematical notation

means of expressing certain extremely large numbers

notation for extremely large numbers

mathematical notation for differential calculus

typeface, used in mathematics, that doubles certain lines of the symbol

mathematical term

set of pictograms once used in the Yaeyama Islands of southwestern Japan

classification of variables in a logic formula based on whether or not they are inside the scope of a quantifier

Unicode block (U+1D400-1D7FF)

notation used to describe polyhedra based on a seed polyhedron modified by various operations

Symbols for constants, special functions

aspect of history

Mathematical notation for tensors and spinors

ISO standard for mathematical signs and symbols for use in the physical sciences and technology

notation for representing symmetric tensors

mathematical term around presentation of concepts

mathematical notation for describing a set by enumerating its elements or stating the properties that its members must satisfy

graphical notation for multilinear algebra calculations

manner of referring to elements of arrays or tensors

Zenzizenzizenzic is an obsolete form of mathematical notation representing the eighth power of a number (that is, the zenzizenzizenzic of x is x^8), dating from a time when powers were written out in words rather than as superscript numbers. This term was suggested by Robert Recorde, a 16th-century Welsh physician, mathematician and writer of popular mathematics textbooks, in his 1557 work The Whetstone of Witte (although his spelling was zenzizenzizenzike); he wrote that it "doeth represent the square of squares squaredly".

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calculator as a computer program