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The letter Sigma. Sigma (/ ˈ s ɪ ɡ m ə / SIG-mə; [1] uppercase Σ, lowercase σ, lowercase in word-final position ς; Ancient Greek: σίγμα) is the eighteenth letter of the Greek alphabet. In the system of Greek numerals, it has a value of 200. In general mathematics, uppercase Σ is used as an operator for summation.
Mathematical notation uses a symbol that compactly represents summation of many similar terms: the summation symbol, , an enlarged form of the upright capital Greek letter sigma. [1] This is defined as
The OpenType font format has the feature tag "mgrk" ("Mathematical Greek") to identify a glyph as representing a Greek letter to be used in mathematical (as opposed to Greek language) contexts. The table below shows a comparison of Greek letters rendered in TeX and HTML. The font used in the TeX rendering is an italic style.
This is a list of letters of the Greek alphabet. The definition of a Greek letter for this list is a character encoded in the Unicode standard that a has script property of "Greek" and the general category of "Letter". An overview of the distribution of Greek letters is given in Greek script in Unicode.
Historically, upper-case letters were used for representing points in geometry, and lower-case letters were used for variables and constants. Letters are used for representing many other types of mathematical object. As the number of these types has increased, the Greek alphabet and some Hebrew letters have also come to be used
The Greek alphabet has been used to write the Greek language since the late 9th or early 8th century BC. [2] [3] It was derived from the earlier Phoenician alphabet, [4] and is the earliest known alphabetic script to have developed distinct letters for vowels as well as consonants. [5]
Many of the letters familiar from the classical Greek alphabet displayed additional variation in shapes, with some of the variant forms being characteristic of specific local alphabets. The form of Ζ generally had a straight stem in all local alphabets in the archaic period. Θ was mostly crossed (or ).
The Mathematical Alphanumeric Symbols block (U+1D400–U+1D7FF) contains Latin and Greek letters and decimal digits that enable mathematicians to denote different notions with different letter styles.