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3. Between two groups, may mean that the second one is a proper subgroup of the first one. ≤ 1. Means "less than or equal to". That is, whatever A and B are, A ≤ B is equivalent to A < B or A = B. 2. Between two groups, may mean that the first one is a subgroup of the second one. ≥ 1. Means "greater than or equal to".
In mathematics, the triple bar is sometimes used as a symbol of identity or an equivalence relation (although not the only one; other common choices include ~ and ≈). [7] [8] Particularly, in geometry, it may be used either to show that two figures are congruent or that they are identical. [9]
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.
In some cases, one may consider as equal two mathematical objects that are only equivalent for the properties and structure being considered. The word congruence (and the associated symbol ) is frequently used for this kind of equality, and is defined as the quotient set of the isomorphism classes between the objects.
The equals sign (British English) or equal sign (American English), also known as the equality sign, is the mathematical symbol =, which is used to indicate equality in some well-defined sense. [1] In an equation, it is placed between two expressions that have the same value, or for which one studies the conditions under which they have the ...
The two triangles are congruent and are mirror images of each other. In geometry , hatch marks are used to denote equal measures of angles, arcs, line segments, or other elements. [ 1 ] [ 2 ]
distance: |, denoting the shortest distance between point to line , so line | is perpendicular to line divisibility : a ∣ b {\displaystyle a\mid b} , read " a divides b " or " a is a factor of b ", though Unicode also provides special 'divides' and 'does not divide' symbols (U+2223 and U+2224:∣, ∤) [ 2 ]
[1]: 300 In two dimensions (i.e., the Euclidean plane), two lines that do not intersect are called parallel. In higher dimensions, two lines that do not intersect are parallel if they are contained in a plane, or skew if they are not. On a Euclidean plane, a line can be represented as a boundary between two regions.
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