Movatterモバイル変換


[0]ホーム

URL:


Jump to content
WikipediaThe Free Encyclopedia
Search

Nemeth Braille

From Wikipedia, the free encyclopedia
Braille code for mathematics and science
"Nemeth" redirects here. For the surname, seeNémeth.
Nemeth Braille
Script typeBraille code for encoding mathematical and scientific notation linearly
CreatorAbraham Nemeth
Period
1952 to the present
LanguagesSeveral
 This article containsphonetic transcriptions in theInternational Phonetic Alphabet (IPA). For an introductory guide on IPA symbols, seeHelp:IPA. For the distinction between[ ],/ / and ⟨ ⟩, seeIPA § Brackets and transcription delimiters.

TheNemeth Braille Code for Mathematics and Science Notation is aBraille code for encoding mathematical and scientific notation linearly using standard six-dotBraille cells for tactile reading by the visually impaired. The code was developed byAbraham 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-readablemarkup language.

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

[edit]

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 InternationalBraille 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

[edit]

General signs

[edit]
Symbol*,...
Braille⠈ (braille pattern dots-4)⠼ (braille pattern dots-3456)⠠ (braille pattern dots-6)⠄ (braille pattern dots-3)⠄ (braille pattern dots-3)⠄ (braille pattern dots-3)

[4]

Number signs

[edit]
SymbolNumber
prefix
Decimal
point
Thousands
separator
0123456789
Braille⠼ (braille pattern dots-3456)⠨ (braille pattern dots-46)⠠ (braille pattern dots-6)⠴ (braille pattern dots-356)⠂ (braille pattern dots-2)⠆ (braille pattern dots-23)⠒ (braille pattern dots-25)⠲ (braille pattern dots-256)⠢ (braille pattern dots-26)⠖ (braille pattern dots-235)⠶ (braille pattern dots-2356)⠦ (braille pattern dots-236)⠔ (braille pattern dots-35)

[3]

Operators

[edit]
Symbol+-×·÷. (decimal)i√ (radical index)
Braille⠬ (braille pattern dots-346)⠤ (braille pattern dots-36)⠈ (braille pattern dots-4)⠡ (braille pattern dots-16)⠡ (braille pattern dots-16)⠨ (braille pattern dots-46)⠌ (braille pattern dots-34)⠨ (braille pattern dots-46)⠜ (braille pattern dots-345)⠣ (braille pattern dots-126)
Symbolinner √ (1st)inner √ (2nd)end 1st √end 2nd √long division/!
Braille⠨ (braille pattern dots-46)⠨ (braille pattern dots-46)⠨ (braille pattern dots-46)⠨ (braille pattern dots-46)⠻ (braille pattern dots-12456)⠨ (braille pattern dots-46)⠨ (braille pattern dots-46)⠻ (braille pattern dots-12456)⠕ (braille pattern dots-135)⠌ (braille pattern dots-34)⠯ (braille pattern dots-12346)

[4]

Parentheses and brackets

[edit]
Symbol()[]{}
Braille⠷ (braille pattern dots-12356)⠾ (braille pattern dots-23456)⠈ (braille pattern dots-4)⠷ (braille pattern dots-12356)⠈ (braille pattern dots-4)⠾ (braille pattern dots-23456)⠨ (braille pattern dots-46)⠷ (braille pattern dots-12356)⠨ (braille pattern dots-46)⠾ (braille pattern dots-23456)

[4]

Fractions

[edit]
Symbolsimplecomplexhypercomplexfraction in mixed number
openlinecloseopenlinecloseopenlinecloseopenlineclose
Braille⠹ (braille pattern dots-1456)⠌ (braille pattern dots-34)⠼ (braille pattern dots-3456)⠠ (braille pattern dots-6)⠹ (braille pattern dots-1456)⠠ (braille pattern dots-6)⠌ (braille pattern dots-34)⠠ (braille pattern dots-6)⠼ (braille pattern dots-3456)⠠ (braille pattern dots-6)⠠ (braille pattern dots-6)⠹ (braille pattern dots-1456)⠠ (braille pattern dots-6)⠠ (braille pattern dots-6)⠌ (braille pattern dots-34)⠠ (braille pattern dots-6)⠠ (braille pattern dots-6)⠼ (braille pattern dots-3456)⠸ (braille pattern dots-456)⠹ (braille pattern dots-1456)⠸ (braille pattern dots-456)⠌ (braille pattern dots-34)⠸ (braille pattern dots-456)⠼ (braille pattern dots-3456)

[4]

Other modifiers

[edit]
Symbol:
Braille⠈ (braille pattern dots-4)⠌ (braille pattern dots-34)⠠ (braille pattern dots-6)⠡ (braille pattern dots-16)⠨ (braille pattern dots-46)⠨ (braille pattern dots-46)⠨ (braille pattern dots-46)⠄ (braille pattern dots-3)⠄ (braille pattern dots-3)⠄ (braille pattern dots-3)

[4]

Symbol°%
Braille⠠ (braille pattern dots-6)⠿ (braille pattern dots-123456)⠸ (braille pattern dots-456)⠿ (braille pattern dots-123456)⠨ (braille pattern dots-46)⠡ (braille pattern dots-16)⠈ (braille pattern dots-4)⠴ (braille pattern dots-356)⠈ (braille pattern dots-4)⠜ (braille pattern dots-345)

[4]

Braille indicators

[edit]
SymbolPunctuationSuperscriptSubscriptBaselineOmissionCancel (close)Cancel (open)Run OverDirectly OverDirectly UnderBeginningTermination
Braille⠸ (braille pattern dots-456)⠘ (braille pattern dots-45)⠰ (braille pattern dots-56)⠐ (braille pattern dots-5)⠿ (braille pattern dots-123456)⠻ (braille pattern dots-12456)⠪ (braille pattern dots-246)⠐ (braille pattern dots-5)⠣ (braille pattern dots-126)⠩ (braille pattern dots-146)⠐ (braille pattern dots-5)⠻ (braille pattern dots-12456)

[4]

Comparison signs

[edit]
Symbol><
Braille⠨ (braille pattern dots-46)⠂ (braille pattern dots-2)⠐ (braille pattern dots-5)⠅ (braille pattern dots-13)⠨ (braille pattern dots-46)⠂ (braille pattern dots-2)⠱ (braille pattern dots-156)⠐ (braille pattern dots-5)⠅ (braille pattern dots-13)⠱ (braille pattern dots-156)⠨ (braille pattern dots-46)⠂ (braille pattern dots-2)⠨ (braille pattern dots-46)⠅ (braille pattern dots-13)⠐ (braille pattern dots-5)⠅ (braille pattern dots-13)⠨ (braille pattern dots-46)⠅ (braille pattern dots-13)

[4]

Symbol
Braille⠱ (braille pattern dots-156)⠨ (braille pattern dots-46)⠂ (braille pattern dots-2)⠱ (braille pattern dots-156)⠐ (braille pattern dots-5)⠅ (braille pattern dots-13)⠨ (braille pattern dots-46)⠅ (braille pattern dots-13)⠨ (braille pattern dots-46)⠂ (braille pattern dots-2)⠨ (braille pattern dots-46)⠅ (braille pattern dots-13)⠐ (braille pattern dots-5)⠅ (braille pattern dots-13)

[4]

Symbol><<>>=<<=>
Braille⠨ (braille pattern dots-46)⠂ (braille pattern dots-2)⠐ (braille pattern dots-5)⠐ (braille pattern dots-5)⠅ (braille pattern dots-13)⠐ (braille pattern dots-5)⠅ (braille pattern dots-13)⠐ (braille pattern dots-5)⠨ (braille pattern dots-46)⠂ (braille pattern dots-2)⠨ (braille pattern dots-46)⠂ (braille pattern dots-2)⠨ (braille pattern dots-46)⠅ (braille pattern dots-13)⠐ (braille pattern dots-5)⠅ (braille pattern dots-13)⠐ (braille pattern dots-5)⠅ (braille pattern dots-13)⠨ (braille pattern dots-46)⠅ (braille pattern dots-13)⠨ (braille pattern dots-46)⠂ (braille pattern dots-2)

[4]

Symbol=~±
Braille⠨ (braille pattern dots-46)⠅ (braille pattern dots-13)⠌ (braille pattern dots-34)⠨ (braille pattern dots-46)⠅ (braille pattern dots-13)⠌ (braille pattern dots-34)⠨ (braille pattern dots-46)⠂ (braille pattern dots-2)⠌ (braille pattern dots-34)⠐ (braille pattern dots-5)⠅ (braille pattern dots-13)⠈ (braille pattern dots-4)⠱ (braille pattern dots-156)⠈ (braille pattern dots-4)⠱ (braille pattern dots-156)⠈ (braille pattern dots-4)⠱ (braille pattern dots-156)⠈ (braille pattern dots-4)⠱ (braille pattern dots-156)⠨ (braille pattern dots-46)⠅ (braille pattern dots-13)⠬ (braille pattern dots-346)⠤ (braille pattern dots-36)⠤ (braille pattern dots-36)⠬ (braille pattern dots-346)

[4]

Geometry

[edit]
SymbolParallelPerpendicularAngleRight angle
Braille⠫ (braille pattern dots-1246)⠇ (braille pattern dots-123)⠫ (braille pattern dots-1246)⠏ (braille pattern dots-1234)⠫ (braille pattern dots-1246)⠪ (braille pattern dots-246)⠫ (braille pattern dots-1246)⠪ (braille pattern dots-246)⠨ (braille pattern dots-46)⠗ (braille pattern dots-1235)⠻ (braille pattern dots-12456)

[4]

SymbolArc downArc upTrapezoidSquareRectangleParallelogram
Braille⠫ (braille pattern dots-1246)⠁ (braille pattern dots-1)⠫ (braille pattern dots-1246)⠄ (braille pattern dots-3)⠫ (braille pattern dots-1246)⠟ (braille pattern dots-12345)⠫ (braille pattern dots-1246)⠲ (braille pattern dots-256)⠫ (braille pattern dots-1246)⠗ (braille pattern dots-1235)⠫ (braille pattern dots-1246)⠛ (braille pattern dots-1245)

[4]

SymbolRhombusIsosceles trapezoidTriangleRight triangleCircleEllipse
Braille⠫ (braille pattern dots-1246)⠓ (braille pattern dots-125)⠫ (braille pattern dots-1246)⠵ (braille pattern dots-1356)⠫ (braille pattern dots-1246)⠞ (braille pattern dots-2345)⠫ (braille pattern dots-1246)⠞ (braille pattern dots-2345)⠨ (braille pattern dots-46)⠗ (braille pattern dots-1235)⠻ (braille pattern dots-12456)⠫ (braille pattern dots-1246)⠉ (braille pattern dots-14)⠫ (braille pattern dots-1246)⠑ (braille pattern dots-15)

[4]

Arrows

[edit]
Symbol
Braille⠫ (braille pattern dots-1246)⠒ (braille pattern dots-25)⠒ (braille pattern dots-25)⠕ (braille pattern dots-135)⠫ (braille pattern dots-1246)⠪ (braille pattern dots-246)⠒ (braille pattern dots-25)⠒ (braille pattern dots-25)⠫ (braille pattern dots-1246)⠪ (braille pattern dots-246)⠒ (braille pattern dots-25)⠒ (braille pattern dots-25)⠕ (braille pattern dots-135)

[4]

Symbol
Braille⠫ (braille pattern dots-1246)⠕ (braille pattern dots-135)⠫ (braille pattern dots-1246)⠒ (braille pattern dots-25)⠒ (braille pattern dots-25)⠈ (braille pattern dots-4)⠕ (braille pattern dots-135)⠫ (braille pattern dots-1246)⠠ (braille pattern dots-6)⠪ (braille pattern dots-246)⠫ (braille pattern dots-1246)⠶ (braille pattern dots-2356)⠶ (braille pattern dots-2356)⠕ (braille pattern dots-135)

[4]

Trig functions

[edit]
FunctionSineCosineTangent
Braille⠎ (braille pattern dots-234)⠊ (braille pattern dots-24)⠝ (braille pattern dots-1345)⠉ (braille pattern dots-14)⠕ (braille pattern dots-135)⠎ (braille pattern dots-234)⠞ (braille pattern dots-2345)⠁ (braille pattern dots-1)⠝ (braille pattern dots-1345)

[4]

FunctionSecantCosecantCotangentLogarithm
Braille⠎ (braille pattern dots-234)⠑ (braille pattern dots-15)⠉ (braille pattern dots-14)⠉ (braille pattern dots-14)⠎ (braille pattern dots-234)⠉ (braille pattern dots-14)⠉ (braille pattern dots-14)⠕ (braille pattern dots-135)⠞ (braille pattern dots-2345)⠇ (braille pattern dots-123)⠕ (braille pattern dots-135)⠛ (braille pattern dots-1245)

[4]

Set theory

[edit]
Symbol{}
Braille⠈ (braille pattern dots-4)⠑ (braille pattern dots-15)⠈ (braille pattern dots-4)⠢ (braille pattern dots-26)⠨ (braille pattern dots-46)⠬ (braille pattern dots-346)⠨ (braille pattern dots-46)⠩ (braille pattern dots-146)⠸ (braille pattern dots-456)⠦ (braille pattern dots-236)⠨ (braille pattern dots-46)⠷ (braille pattern dots-12356)⠨ (braille pattern dots-46)⠾ (braille pattern dots-23456)

[4]

Symbol
Braille⠸ (braille pattern dots-456)⠐ (braille pattern dots-5)⠅ (braille pattern dots-13)⠸ (braille pattern dots-456)⠨ (braille pattern dots-46)⠂ (braille pattern dots-2)⠸ (braille pattern dots-456)⠐ (braille pattern dots-5)⠅ (braille pattern dots-13)⠱ (braille pattern dots-156)⠸ (braille pattern dots-456)⠨ (braille pattern dots-46)⠂ (braille pattern dots-2)⠱ (braille pattern dots-156)

[4]

Misc. signs

[edit]
Symbol
Braille⠫ (braille pattern dots-1246)⠉ (braille pattern dots-14)⠸ (braille pattern dots-456)⠫ (braille pattern dots-1246)⠬ (braille pattern dots-346)⠻ (braille pattern dots-12456)⠫ (braille pattern dots-1246)⠉ (braille pattern dots-14)⠸ (braille pattern dots-456)⠫ (braille pattern dots-1246)⠡ (braille pattern dots-16)⠻ (braille pattern dots-12456)⠫ (braille pattern dots-1246)⠲ (braille pattern dots-256)⠸ (braille pattern dots-456)⠫ (braille pattern dots-1246)⠡ (braille pattern dots-16)⠻ (braille pattern dots-12456)

[4]

SymbolIntersecting lines@DittoTally mark+--+
Braille⠫ (braille pattern dots-1246)⠊ (braille pattern dots-24)⠈ (braille pattern dots-4)⠁ (braille pattern dots-1)⠠ (braille pattern dots-6)⠄ (braille pattern dots-3)⠸ (braille pattern dots-456)⠬ (braille pattern dots-346)⠐ (braille pattern dots-5)⠤ (braille pattern dots-36)⠤ (braille pattern dots-36)⠐ (braille pattern dots-5)⠬ (braille pattern dots-346)

[4]

Symbol|| | (modulus). dot
Braille⠳ (braille pattern dots-1256)⠈ (braille pattern dots-4)⠱ (braille pattern dots-156)⠱ (braille pattern dots-156)⠸ (braille pattern dots-456)⠇ (braille pattern dots-123)⠱ (braille pattern dots-156)⠳ (braille pattern dots-1256)⠳ (braille pattern dots-1256)⠡ (braille pattern dots-16)

[4]

Polygons

[edit]
SymbolPentagonHexagonHeptagonOctagonNonagonn{\displaystyle n}-agon
Braille⠫ (braille pattern dots-1246)⠢ (braille pattern dots-26)⠫ (braille pattern dots-1246)⠖ (braille pattern dots-235)⠫ (braille pattern dots-1246)⠶ (braille pattern dots-2356)⠫ (braille pattern dots-1246)⠦ (braille pattern dots-236)⠫ (braille pattern dots-1246)⠔ (braille pattern dots-35)⠫ (braille pattern dots-1246) + (Nemeth Braille ofn{\displaystyle n})


[4]

Triangles

[edit]
SymbolAcuteRightIsoscelesObtuseScalene
Braille⠫ (braille pattern dots-1246)⠞ (braille pattern dots-2345)⠨ (braille pattern dots-46)⠁ (braille pattern dots-1)⠻ (braille pattern dots-12456)⠫ (braille pattern dots-1246)⠞ (braille pattern dots-2345)⠨ (braille pattern dots-46)⠗ (braille pattern dots-1235)⠻ (braille pattern dots-12456)⠫ (braille pattern dots-1246)⠞ (braille pattern dots-2345)⠨ (braille pattern dots-46)⠊ (braille pattern dots-24)⠻ (braille pattern dots-12456)⠫ (braille pattern dots-1246)⠞ (braille pattern dots-2345)⠨ (braille pattern dots-46)⠕ (braille pattern dots-135)⠻ (braille pattern dots-12456)⠫ (braille pattern dots-1246)⠞ (braille pattern dots-2345)⠨ (braille pattern dots-46)⠎ (braille pattern dots-234)⠻ (braille pattern dots-12456)

[4]

Other signs

[edit]
SymbolAcute angleRight angleObtuse angleHexagon star§
Braille⠫ (braille pattern dots-1246)⠪ (braille pattern dots-246)⠨ (braille pattern dots-46)⠁ (braille pattern dots-1)⠻ (braille pattern dots-12456)⠫ (braille pattern dots-1246)⠪ (braille pattern dots-246)⠨ (braille pattern dots-46)⠗ (braille pattern dots-1235)⠻ (braille pattern dots-12456)⠫ (braille pattern dots-1246)⠪ (braille pattern dots-246)⠨ (braille pattern dots-46)⠕ (braille pattern dots-135)⠻ (braille pattern dots-12456)⠫ (braille pattern dots-1246)⠎ (braille pattern dots-234)⠈ (braille pattern dots-4)⠠ (braille pattern dots-6)⠏ (braille pattern dots-1234)⠈ (braille pattern dots-4)⠠ (braille pattern dots-6)⠎ (braille pattern dots-234)

[4]

Symbolref. indicator<i><b>letter signcomposite function|det| matrix
Braille⠈ (braille pattern dots-4)⠻ (braille pattern dots-12456)⠨ (braille pattern dots-46)⠸ (braille pattern dots-456)⠰ (braille pattern dots-56)⠨ (braille pattern dots-46)⠡ (braille pattern dots-16)⠠ (braille pattern dots-6)⠳ (braille pattern dots-1256)⠮ (braille pattern dots-2346)⠈ (braille pattern dots-4)⠙ (braille pattern dots-145)

[4]

Greek letters andLatin letters

[edit]

Greek and Latin letters are based on the assignments ofInternational Greek Braille.

Symbolsmall Latin letterscapital Latin letterssmall Greek letterscapital Greek letters
Braille(Braille of the letter)⠠ (braille pattern dots-6) + (Braille of the letter)⠨ (braille pattern dots-46) + (Braille of the letter)⠨ (braille pattern dots-46)⠠ (braille pattern dots-6) + (Braille of the letter)

[4]

See also

[edit]

References

[edit]
  1. ^"The History of Nemeth Code". Retrieved2012-04-26.
  2. ^"Braille Mathematical Notations". 2008-07-22. Retrieved2012-04-26.
  3. ^ab"The Nemeth Braille Code for Mathematics and Science Notation 1972 Revision"(PDF). Archived fromthe original(PDF) on 2015-10-28. Retrieved2012-04-26.
  4. ^abcdefghijklmnopqrstuvwxyzaaab"Nemeth Braille (Mathematics Braille)". Archived fromthe original on 2012-04-21. Retrieved2012-04-25.

External links

[edit]
Braille ⠃⠗⠁⠊⠇⠇⠑
Braille cell
Braille scripts
French-ordered
Nordic family
Russian lineage family
i.e.Cyrillic-mediated scripts
Egyptian lineage family
i.e.Arabic-mediated scripts
Indian lineage family
i.e.Bharati Braille
Other scripts
Reordered
Frequency-based
Independent
Eight-dot
Symbols in braille
Braille technology
People
Organisations
Othertactile alphabets
Related topics
Retrieved from "https://en.wikipedia.org/w/index.php?title=Nemeth_Braille&oldid=1308216266"
Categories:
Hidden categories:

[8]ページ先頭

©2009-2025 Movatter.jp