Collecting information about Braille Mathematical Notations
After discussing with Pr G. Weber, from Technical University of Dresden, about the various Braille Mathematical Notations that have been developed, I decided to try to gather information about these them and to publish it here: Braille Mathematical Notations.
These notations are specific codes to write Mathematical expressions in Braille. As Braille is intrinsically linear, and also because the number of symbols to display is rather large – so each of them needs several Braille characters, these expressions tend to be extremely long and difficult to handle. These specific notations use various strategies in order to reduce this length. The counterpart is that they are quite difficult to learn by users, and also, as they are based on context sensitive grammars, they are quite difficult to transcribe to mainstream Maths notation.
Pr Weber gave me the reference of the UNESCO booklet « World Braille Usage », which describes the use of Braille in all countries, in all topics (Literary, Sciences, Music…). But this booklet was based on 2 surveys conducted in 79 and 85 and is not complete. Also many countries have upgraded their codes since then. Anyway it’s a precious document to start with?
There was another reference, given to me by Pr Weber too, about a book published in 1942 by the American Printing House for the Blind and entitled « Braille mathematical notations », by Henry Martin Taylor. It seems there is an exemplary at the US Library of Congress in Washington (http://lccn.loc.gov/63056952). If anybody knows how I could find an electronic copy of this, I would be grateful!
If you have any information which could help me, like more details or any correction of what is already there, or because you know about some other Braille Mathematical codes, please post a comment here. Thanks!