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The following table lists many specialized symbols commonly used in modern mathematics, ordered by their introduction date. The table can also be ordered alphabetically by clicking on the relevant header title.
Denotes square root and is read as the square root of. Rarely used in modern mathematics without a horizontal bar delimiting the width of its argument (see the next item). For example, √2. √ (radical symbol) 1. Denotes square root and is read as the square root of. For example, +. 2.
Definition Relation to SI units barrel of oil equivalent: boe ≈ 5.8 × 10 6 BTU 59 °F: ≈ 6.12 × 10 9 J: British thermal unit (ISO) BTU ISO: ≡ 1.0545 × 10 3 J = 1.0545 × 10 3 J: British thermal unit (International Table) BTU IT = 1.055 055 852 62 × 10 3 J: British thermal unit (mean) BTU mean: ≈ 1.055 87 × 10 3 J: British thermal ...
Distance traveled by light in vacuum in one second (a light-second, exactly 299,792,458 m by definition of the speed of light) 384.4 Mm Moon's orbital distance from Earth 10 9: 1 gigameter 1.39 Gm Diameter of the Sun: 5.15 Gm Greatest mileage ever recorded by a car (3.2 million miles by a 1966 Volvo P-1800S) [38] 10 10: 10 Gm: 18 Gm
Comparison of 1 square metre with some Imperial and metric units of area. The square metre (international spelling as used by the International Bureau of Weights and Measures) or square meter (American spelling) is the unit of area in the International System of Units (SI) with symbol m 2. [1]
5⋅5, or 5 2 (5 squared), can be shown graphically using a square. Each block represents one unit, 1⋅1, and the entire square represents 5⋅5, or the area of the square. In mathematics, a square is the result of multiplying a number by itself. The verb "to square" is used to denote this operation.
Although the chromatic number of the square of a nonplanar graph with maximum degree Δ may be proportional to Δ 2 in the worst case, it is smaller for graphs of high girth, being bounded by O(Δ 2 / log Δ) in this case. [8] Determining the minimum number of colors needed to color the square of a graph is NP-hard, even in the planar case. [9]
In mathematics, and especially in category theory, a commutative diagram is a diagram of objects, also known as vertices, and morphisms, also known as arrows or edges, such that when selecting two objects any directed path through the diagram leads to the same result by composition.