The orthography of Greek math and science

Published

July 29, 2024

The centerpiece of this package is the GreekSciOrthography, a concrete subtype of the abstract GreekOrthography type (from the PolytonicGreek package).

Characters

To the familiar alphabetic character set of the LiteraryGreekOrthography type, GreekSciOrthography adds:

  • astronomical symbols for planets and zodiac signs that commonly appear in astronomical texts
GreekScientificOrthography.astro()
"🜚︎☽︎☿♀♂♃♄♈︎♉︎♊︎♋︎♌︎♍︎♎︎♏︎♐︎♑︎♒︎♓︎"
  • the non-alphabetic characters used to write numeric values in Greek mathematical and scientific texts
GreekScientificOrthography.numeric()
"ʹ″ϛϙϡΜ𐅵𐅷𐅸^Ο"

Token types

In addition to recognizing lexical and punctuation tokens, a GreekSciOrthography can tokenize text into astronomical symbols, numeric tokens in the Milesian notational system, and labels for figures in mathematical texts.

o = stemortho()
tokentypes(o)
6-element Vector{DataType}:
 Orthography.LexicalToken
 Orthography.PunctuationToken
 Orthography.UnanalyzedToken
 FigureLabelToken
 MilesianIntegerToken
 AstronomicalSymbol

Astronomical symbols are represented by single Unicode codepoints such as 🜚︎, “sol”.

In contrast to the other token types, the syntax of numeric values and mathematical figure labels is case-sensitive.

Integer values in the Milesian notational system are written using 27 alphabetic or archaic alphabetic characters, followed by the numeric marker ‘ʹ’ (Unicode x0374). (See full documentation in a guide to writing numbers.) A comma separates digits for ones, tens and hundreds (to the right of the comma) from digits for thousands (left of the commma). Μʹ is the value for “myriad,” 10,000. μ is the digit for 40.

Mathematical figure labels are defined as strings of upper-case purely alphabetic characters, without any breathing or accents. The string is a lexical token (the nominative feminine singular of the article, in upper case), while Η is a figure label, “eta”.