In addition to its use as an alphabetic letter, omicron is occasionally used in technical notation, but its use is limited since both upper case and lower case (Ο ο) are indistinguishable from the
Latin letter "o" (O o) and difficult to distinguish from the
Arabic numeral "zero" (0).
Mathematics The
big-O symbol was introduced by
Paul Bachmann in 1894 and popularized by
Edmund Landau in 1909, originally standing for "order of" ("Ordnung") and being thus a Latin letter, was apparently viewed by
Donald Knuth in 1976 as a capital Omicron, probably in reference to his definition of the symbol (capital)
Omega. Neither Bachmann nor Landau ever call it "Omicron", and the word "Omicron" appears just once in the title of Knuth's paper.
Greek numerals There were several systems for writing
numbers in Greek; the most common form used in late classical era used omicron (either upper or lower case) to represent the value 70. More generally, the letter omicron is used to mark the fifteenth ordinal position in any Greek-alphabet marked list. So, for example, in
Euclid's
Elements, when various points in a
geometric diagram are marked with letters, it is effectively the same as marking them with numbers, each letter representing the number of its place in the standard alphabet.
Astronomy Omicron is used to designate the fifteenth star in a constellation group, its ordinal placement an irregular function of both magnitude and position. Such stars include
Omicron Andromedae,
Omicron Ceti (Mira), and
Omicron Persei. In
Claudius Ptolemy's ()
Almagest, tables of
sexagesimal numbers are represented in the conventional manner for
Greek numbers:. Since the letter omicron [which represents () in the standard system] is not used in
sexagesimal, it is repurposed to represent an empty number cell. In some copies, zero cells were just left blank (nothing there, value is zero), but to avoid copying errors, positively marking a zero cell with omicron was preferred, for the same reason that blank cells in modern tables are sometimes filled-in with a long dash (—). Both an omicron and a dash imply that
"this is not a mistake, the cell is actually supposed to be empty." By coincidence, the ancient zero-value omicron () resembles a modern
Hindu-Arabic zero ().
Medicine The
World Health Organization (WHO) uses the Greek alphabet to describe
variants of concern of
SARS‑CoV‑2, the virus which causes
COVID-19. On November 26, 2021, Omicron was assigned to the B.1.1.529
variant of concern. ==History==