Nemeth Braille

Last updated
Nemeth Braille
Script type Braille code for encoding mathematical and scientific notation linearly
Creator Abraham Nemeth
Time period
1952 to the present
LanguagesSeveral
 This article contains phonetic transcriptions in the International Phonetic Alphabet (IPA).For an introductory guide on IPA symbols, see Help:IPA.For the distinction between [ ], / / and  , see IPA § Brackets and transcription delimiters.

The Nemeth Braille Code for Mathematics and Science Notation is a Braille code for encoding mathematical and scientific notation linearly using standard six-dot Braille cells for tactile reading by the visually impaired. The code was developed by Abraham Nemeth. The Nemeth Code was first written up in 1952. It was revised in 1956, 1965, and 1972. [1] It is an example of a compact human-readable markup language.

Contents

Nemeth Braille is just one code used to write mathematics in braille. There are many systems in use around the world. [2]

Principles of the Nemeth Code

The Nemeth Code Book (1972) opens with the following words:

This Braille Code for Mathematics and Science Notation has been prepared to provide a system of symbols which will allow technical literature to be presented and read in braille. The Code is intended to convey as accurate an impression as is possible to the braille reader of the corresponding printed text, and this is one of its principal features. When the braille reader has a clear conception of the corresponding printed text, the area of communication between himself and his teacher, his colleagues, his associates, and the world at large is greatly broadened. A test of the accuracy with which the Code conveys information from the print to the braille text is to effect a transcription in the reverse direction. The amount of agreement between the original printed text and one transcribed from the braille is a measure of the Code's accuracy.

[3]

One consequence is that the braille transcriber does not need to know the underlying mathematics. The braille transcriber needs to identify the inkprint symbols and know how to render them in Nemeth Code braille. For example, if the same math symbol might have two different meanings, this would not matter; both instances would be brailled the same. This is in contrast to the International Braille Music Code, where the braille depends on the meaning of the inkprint music. Thus a knowledge of music is required to produce braille music.

Table of Nemeth braille codes

General signs

Symbol*,...
Braille Braille Accent.svg Braille NumberSign.svg Braille CapitalSign.svg Braille Apostrophe.svg Braille Apostrophe.svg Braille Apostrophe.svg

[4]

Number signs

SymbolNumber
prefix
Decimal
point
Thousands
separator
0123456789
Braille Braille NumberSign.svg Braille DecimalPoint.svg Braille CapitalSign.svg Braille QuoteClose.svg Braille Comma.svg Braille Semicolon.svg Braille Colon.svg Braille Period.svg Braille QuestionMark.svg Braille ExclamationPoint.svg Braille Bracket.svg Braille QuoteOpen.svg Braille Asterisk.svg

[3]

Operators

Symbol+-×·÷. (decimal)i√ (radical index)
Braille Braille O.svg Braille Hyphen.svg Braille Accent.svg Braille A.svg Braille A.svg Braille DecimalPoint.svg Braille ST.svg Braille DecimalPoint.svg Braille A.svg Braille E.svg
Symbolinner √ (1st)inner √ (2nd)end 1st √end 2nd √long division/ !
Braille Braille DecimalPoint.svg Braille DecimalPoint.svg Braille DecimalPoint.svg Braille DecimalPoint.svg Braille I.svg Braille DecimalPoint.svg Braille DecimalPoint.svg Braille I.svg Braille O.svg Braille ST.svg Braille AND.svg

[4]

Parentheses and brackets

Symbol()[]{}
Braille Braille A.svg Braille U.svg Braille Accent.svg Braille A.svg Braille Accent.svg Braille U.svg Braille DecimalPoint.svg Braille A.svg Braille DecimalPoint.svg Braille U.svg

[4]

Fractions

Symbolsimplecomplexhypercomplexfraction in mixed number
openlinecloseopenlinecloseopenlinecloseopenlineclose
Braille Braille O.svg Braille ST.svg Braille NumberSign.svg Braille CapitalSign.svg Braille O.svg Braille CapitalSign.svg Braille ST.svg Braille CapitalSign.svg Braille NumberSign.svg Braille CapitalSign.svg Braille CapitalSign.svg Braille O.svg Braille CapitalSign.svg Braille CapitalSign.svg Braille ST.svg Braille CapitalSign.svg Braille CapitalSign.svg Braille NumberSign.svg Braille CursiveSign.svg Braille O.svg Braille CursiveSign.svg Braille ST.svg Braille CursiveSign.svg Braille NumberSign.svg

[4]

Other modifiers

Symbol :
Braille Braille Accent.svg Braille ST.svg Braille CapitalSign.svg Braille A.svg Braille DecimalPoint.svg Braille DecimalPoint.svg Braille DecimalPoint.svg Braille Apostrophe.svg Braille Apostrophe.svg Braille Apostrophe.svg

[4]

Symbol° %
Braille Braille CapitalSign.svg Braille E.svg Braille CursiveSign.svg Braille E.svg Braille DecimalPoint.svg Braille A.svg Braille Accent.svg Braille QuoteClose.svg Braille Accent.svg Braille A.svg

[4]

Braille indicators

SymbolPunctuationSuperscriptSubscriptBaselineOmissionCancel (close)Cancel (open)Run OverDirectly OverDirectly UnderBeginningTermination
Braille Braille CursiveSign.svg Braille Currency.svg Braille Correction.svg Braille ContractionPrefix.svg Braille E.svg Braille I.svg Braille O.svg Braille ContractionPrefix.svg Braille E.svg Braille SH.svg Braille ContractionPrefix.svg Braille I.svg

[4]

Comparison signs

Symbol><
Braille Braille DecimalPoint.svg Braille Comma.svg Braille ContractionPrefix.svg Braille K.svg Braille DecimalPoint.svg Braille Comma.svg Braille U.svg Braille ContractionPrefix.svg Braille K.svg Braille U.svg Braille DecimalPoint.svg Braille Comma.svg Braille DecimalPoint.svg Braille K.svg Braille ContractionPrefix.svg Braille K.svg Braille DecimalPoint.svg Braille K.svg

[4]

Symbol
Braille Braille U.svg Braille DecimalPoint.svg Braille Comma.svg Braille U.svg Braille ContractionPrefix.svg Braille K.svg Braille DecimalPoint.svg Braille K.svg Braille DecimalPoint.svg Braille Comma.svg Braille DecimalPoint.svg Braille K.svg Braille ContractionPrefix.svg Braille K.svg

[4]

Symbol><<>>=<<=>
Braille Braille DecimalPoint.svg Braille Comma.svg Braille ContractionPrefix.svg Braille ContractionPrefix.svg Braille K.svg Braille ContractionPrefix.svg Braille K.svg Braille ContractionPrefix.svg Braille DecimalPoint.svg Braille Comma.svg Braille DecimalPoint.svg Braille Comma.svg Braille DecimalPoint.svg Braille K.svg Braille ContractionPrefix.svg Braille K.svg Braille ContractionPrefix.svg Braille K.svg Braille DecimalPoint.svg Braille K.svg Braille DecimalPoint.svg Braille Comma.svg

[4]

Symbol=~±
Braille Braille DecimalPoint.svg Braille K.svg Braille ST.svg Braille DecimalPoint.svg Braille K.svg Braille ST.svg Braille DecimalPoint.svg Braille Comma.svg Braille ST.svg Braille ContractionPrefix.svg Braille K.svg Braille Accent.svg Braille U.svg Braille Accent.svg Braille U.svg Braille Accent.svg Braille U.svg Braille Accent.svg Braille U.svg Braille DecimalPoint.svg Braille K.svg Braille O.svg Braille Hyphen.svg Braille Hyphen.svg Braille O.svg

[4]

Geometry

Symbol Parallel Perpendicular Angle Right angle
Braille Braille E.svg Braille L.svg Braille E.svg Braille P.svg Braille E.svg Braille O.svg Braille E.svg Braille O.svg Braille DecimalPoint.svg Braille R.svg Braille I.svg

[4]

Symbol Arc downArc up Trapezoid Square Rectangle Parallelogram
Braille Braille E.svg Braille A1.svg Braille E.svg Braille Apostrophe.svg Braille E.svg Braille Q.svg Braille E.svg Braille Period.svg Braille E.svg Braille R.svg Braille E.svg Braille G7.svg

[4]

Symbol Rhombus Isosceles trapezoid Triangle Right triangle Circle Ellipse
Braille Braille E.svg Braille H8.svg Braille E.svg Braille Z.svg Braille E.svg Braille T.svg Braille E.svg Braille T.svg Braille DecimalPoint.svg Braille R.svg Braille I.svg Braille E.svg Braille C3.svg Braille E.svg Braille E5.svg

[4]

Arrows

Symbol
Braille Braille E.svg Braille Colon.svg Braille Colon.svg Braille O.svg Braille E.svg Braille O.svg Braille Colon.svg Braille Colon.svg Braille E.svg Braille O.svg Braille Colon.svg Braille Colon.svg Braille O.svg

[4]

Symbol
Braille Braille E.svg Braille O.svg Braille E.svg Braille Colon.svg Braille Colon.svg Braille Accent.svg Braille O.svg Braille E.svg Braille CapitalSign.svg Braille O.svg Braille E.svg Braille Bracket.svg Braille Bracket.svg Braille O.svg

[4]

Trig functions

FunctionSineCosineTangent
Braille Braille S.svg Braille I9.svg Braille N.svg Braille C3.svg Braille O.svg Braille S.svg Braille T.svg Braille A1.svg Braille N.svg

[4]

FunctionSecantCosecantCotangentLogarithm
Braille Braille S.svg Braille E5.svg Braille C3.svg Braille C3.svg Braille S.svg Braille C3.svg Braille C3.svg Braille O.svg Braille T.svg Braille L.svg Braille O.svg Braille G7.svg

[4]

Set theory

Symbol{}
Braille Braille Accent.svg Braille E5.svg Braille Accent.svg Braille QuestionMark.svg Braille DecimalPoint.svg Braille O.svg Braille DecimalPoint.svg Braille SH.svg Braille CursiveSign.svg Braille QuoteOpen.svg Braille DecimalPoint.svg Braille A.svg Braille DecimalPoint.svg Braille U.svg

[4]

Symbol
Braille Braille CursiveSign.svg Braille ContractionPrefix.svg Braille K.svg Braille CursiveSign.svg Braille DecimalPoint.svg Braille Comma.svg Braille CursiveSign.svg Braille ContractionPrefix.svg Braille K.svg Braille U.svg Braille CursiveSign.svg Braille DecimalPoint.svg Braille Comma.svg Braille U.svg

[4]

Misc. signs

Symbol
Braille Braille E.svg Braille C3.svg Braille CursiveSign.svg Braille E.svg Braille O.svg Braille I.svg Braille E.svg Braille C3.svg Braille CursiveSign.svg Braille E.svg Braille A.svg Braille I.svg Braille E.svg Braille Period.svg Braille CursiveSign.svg Braille E.svg Braille A.svg Braille I.svg

[4]

SymbolIntersecting lines@DittoTally mark+--+
Braille Braille E.svg Braille I9.svg Braille Accent.svg Braille A1.svg Braille CapitalSign.svg Braille Apostrophe.svg Braille CursiveSign.svg Braille O.svg Braille ContractionPrefix.svg Braille Hyphen.svg Braille Hyphen.svg Braille ContractionPrefix.svg Braille O.svg

[4]

Symbol|| | (modulus). dot
Braille Braille U.svg Braille Accent.svg Braille U.svg Braille U.svg Braille CursiveSign.svg Braille L.svg Braille U.svg Braille U.svg Braille U.svg Braille A.svg

[4]

Polygons

SymbolPentagonHexagonHeptagonOctagonNonagon-agon
Braille Braille E.svg Braille QuestionMark.svg Braille E.svg Braille ExclamationPoint.svg Braille E.svg Braille Bracket.svg Braille E.svg Braille QuoteOpen.svg Braille E.svg Braille Asterisk.svg Braille E.svg + (Nemeth Braille of )


[4]

Triangles

SymbolAcuteRightIsoscelesObtuseScalene
Braille Braille E.svg Braille T.svg Braille DecimalPoint.svg Braille A1.svg Braille I.svg Braille E.svg Braille T.svg Braille DecimalPoint.svg Braille R.svg Braille I.svg Braille E.svg Braille T.svg Braille DecimalPoint.svg Braille I9.svg Braille I.svg Braille E.svg Braille T.svg Braille DecimalPoint.svg Braille O.svg Braille I.svg Braille E.svg Braille T.svg Braille DecimalPoint.svg Braille S.svg Braille I.svg

[4]

Other signs

SymbolAcute angleRight angleObtuse angleHexagon star§
Braille Braille E.svg Braille O.svg Braille DecimalPoint.svg Braille A1.svg Braille I.svg Braille E.svg Braille O.svg Braille DecimalPoint.svg Braille R.svg Braille I.svg Braille E.svg Braille O.svg Braille DecimalPoint.svg Braille O.svg Braille I.svg Braille E.svg Braille S.svg Braille Accent.svg Braille CapitalSign.svg Braille P.svg Braille Accent.svg Braille CapitalSign.svg Braille S.svg

[4]

Symbolref. indicator<i><b>letter signcomposite function|det| matrix
Braille Braille Accent.svg Braille I.svg Braille DecimalPoint.svg Braille CursiveSign.svg Braille Correction.svg Braille DecimalPoint.svg Braille A.svg Braille CapitalSign.svg Braille U.svg Braille E.svg Braille Accent.svg Braille D4.svg

[4]

Greek letters and Latin letters

Greek and Latin letters are based on the assignments of International Greek Braille.

Symbolsmall Latin letterscapital Latin letterssmall Greek letterscapital Greek letters
Braille (Braille of the letter) Braille CapitalSign.svg + (Braille of the letter) Braille DecimalPoint.svg + (Braille of the letter) Braille DecimalPoint.svg Braille CapitalSign.svg + (Braille of the letter)

[4]

See also

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References

  1. "The History of Nemeth Code" . Retrieved 2012-04-26.
  2. "Braille Mathematical Notations". 2008-07-22. Retrieved 2012-04-26.
  3. 1 2 "The Nemeth Braille Code for Mathematics and Science Notation 1972 Revision" (PDF). Retrieved 2012-04-26.
  4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 "Nemeth Braille (Mathematics Braille)". Archived from the original on 2012-04-21. Retrieved 2012-04-25.