A direct TeX-to-Braille transcribing method

The TeX/LaTeX typesetting system is the most wide-spread system for creating documents in Mathematics and Science. However, no reliable tool exists to this day for automatically transcribing documents from the above formats into Braille/Nemeth code. Thus, visually impaired students of related fields do not have access to the bulk of study material available in LaTeX format. We have developed a tool, named latex2nemeth, for directly transcribing LaTeX documents to Nemeth Braille, thus facilitating the access of blind students to Science. In order to support the extensive set of Mathematics symbols covered by TeX, we propose some new symbols based on the extension mechanisms of the Nemeth code

Asymptotic formulas for the diameter of sections of symmetric convex bodies

AbstractSharpening work of the first two authors, for every proportion λ∈(0,1) we provide exact quantitative relations between global parameters of n-dimensional symmetric convex bodies and the diameter of their random ⌊λn⌋-dimensional sections. Using recent results of Gromov and Vershynin, we obtain an “asymptotic formula” for the diameter of random proportional sections