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In mathematical writing, the greater-than sign is typically placed between two values being compared and signifies that the first number is greater than the second number. Examples of typical usage include 1.5 > 1 and 1 > −2. The less-than sign and greater-than sign always "point" to the smaller number.
unstrict inequality signs (less-than or equals to sign and greater-than or equals to sign) 1670 (with the horizontal bar over the inequality sign, rather than below it) John Wallis: 1734 (with double horizontal bar below the inequality sign) Pierre Bouguer
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]
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. Strict inequality between two numbers; means and is read as "greater than". 2.
In an inequality, the less-than sign and greater-than sign always "point" to the smaller number. Put another way, the "jaws" (the wider section of the symbol) always direct to the larger number. The less-than-sign is sometimes used to represent a total order , partial order or preorder .
If the charge is greater than 1, a number indicating the charge is written before the sign (as in SO 2− 4 ). A plus sign prefixed to a telephone number is used to indicate the form used for International Direct Dialing. [23] Its precise usage varies by technology and national standards.
Numbers appearing farther to the right on this line are greater, while numbers appearing farther to the left are lesser. Thus zero appears in the middle, with the positive numbers to the right and the negative numbers to the left. Note that a negative number with greater magnitude is considered less.
[28] [29] More subtly, they include ordering, so that one number can be compared to another and found to be less than, greater than, or equal to another number. [30] The step from rationals to reals is a major extension. There are at least two popular ways to achieve this step, both published in 1872: Dedekind cuts and Cauchy sequences.