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The less-than sign is a mathematical symbol that denotes an inequality between two values. The widely adopted form of two equal-length strokes connecting in an acute angle at the left, <, has been found in documents dated as far back as the 1560s.
less-than sign) 1. Strict inequality between two numbers; means and is read as "less than". 2. Commonly used for denoting any strict order. 3. Between two groups, may mean that the first one is a proper subgroup of the second one. > (greater-than sign) 1.
In engineering sciences, less formal use of the notation is to state that one quantity is "much greater" than another, [5] normally by several orders of magnitude. The notation a ≪ b means that a is much less than b. [6] The notation a ≫ b means that a is much greater than b. [7]
As an example, "is less than" is a relation on the set of natural numbers; it holds, for instance, between the values 1 and 3 (denoted as 1 < 3), and likewise between 3 and 4 (denoted as 3 < 4), but not between the values 3 and 1 nor between 4 and 4, that is, 3 < 1 and 4 < 4 both evaluate to false.
fullwidth less-than sign u+ff1d ＝ fullwidth equals sign u+ff1e ＞ fullwidth greater-than sign u+ff3c \ fullwidth reverse solidus u+ff3e ^ fullwidth circumflex accent u+ff5c ｜ fullwidth vertical line u+ff5e ～ fullwidth tilde u+ffe2 ￢ fullwidth not sign u+ffe9 ￩ halfwidth leftwards arrow u+ffea ￪ halfwidth upwards arrow u+ffeb ...
In mathematics, the concept of a measure is a generalization and formalization of geometrical measures (length, area, volume) and other common notions, such as magnitude, mass, and probability of events. These seemingly distinct concepts have many similarities and can often be treated together in a single mathematical context.
A variety of different symbols are used to represent angle brackets. In e-mail and other ASCII text, it is common to use the less-than (<) and greater-than (>) signs to represent angle brackets, because ASCII does not include angle brackets. [3] Unicode has pairs of dedicated characters; other than less-than and greater-than symbols, these include:
Standard examples of posets arising in mathematics include: The real numbers, or in general any totally ordered set, ordered by the standard less-than-or-equal relation ≤, is a partial order. On the real numbers , the usual less than relation < is a strict partial order.