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If an article requires non-standard or uncommon notation, they should be defined. For example, an article that uses x^n or x**n to denote exponentiation (instead of x n) should define the notations. If an article requires extensive notation, consider introducing the notation as a bulleted list or separating it into a section titled "Notation".
Mathematical notation is widely used in mathematics, science, and engineering for representing complex concepts and properties in a concise, unambiguous, and accurate way. For example, the physicist Albert Einstein's formula = is the quantitative representation in mathematical notation of mass–energy equivalence. [1]
The 17 wallpaper groups, with finite fundamental domains, are given by International notation, orbifold notation, and Coxeter notation, classified by the 5 Bravais lattices in the plane: square, oblique (parallelogrammatic), hexagonal (equilateral triangular), rectangular (centered rhombic), and rhombic (centered rectangular).
This notation applies to polygonal tilings as well as polyhedra. A planar vertex configuration denotes a uniform tiling just like a nonplanar vertex configuration denotes a uniform polyhedron. The notation is ambiguous for chiral forms. For example, the snub cube has clockwise and counterclockwise forms which are identical across mirror images ...
For example, [] is the smallest subring of C containing all the integers and ; it consists of all numbers of the form +, where m and n are arbitrary integers. Another example: Z [ 1 / 2 ] {\displaystyle \mathbf {Z} [1/2]} is the subring of Q consisting of all rational numbers whose denominator is a power of 2 .
Hatch marks (also called hash marks or tick marks) are a form of mathematical notation. They are used in three ways as: Unit and value marks — as on a ruler or number line; Congruence notation in geometry — as on a geometric figure; Graphed points — as on a graph; Hatch marks are frequently used as an abbreviation of some common units of ...
According to Florian Cajori in A History of Mathematical Notations, Johann Rahn used both the therefore and because signs to mean "therefore"; in the German edition of Teutsche Algebra (1659) the therefore sign was prevalent with the modern meaning, but in the 1668 English edition Rahn used the because sign more often to mean "therefore".
For example, a regular pentagon is represented by {5}. For nonconvex star polygons, the constructive notation {p ⁄ q} is used, where p is the number of vertices and q−1 is the number of vertices skipped when drawing each edge of the star. For example, {5 ⁄ 2} represents the pentagram.
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