Library / Mathematics / The First 498 Bernoulli Numbers / Braille
The First 498 Bernoulli Numbers ⠃⠗⠋ braille edition
Grade 2 — contracted English braille (EBAE-compatible subset). Translated on this server by our own braille engine (BRF — Braille Ready Format, Library of Congress fdd000551). View Grade 1 instead.
Download .brf — Grade 2 Download .brf — Grade 1 Plain-text reader .txt
89,438 braille cells · 125 embossed pages at 40×25 · 4 unrepresentable characters omitted
⠀⠀ ⠼⠁⠙⠋⠋⠙⠓⠛⠁⠉⠉⠊⠚⠁⠛⠃⠛⠓⠓⠉⠙⠑⠃⠙⠊⠁⠑⠛⠑⠚⠛⠁⠛⠚⠋⠊⠊⠛⠉⠙ ⠓⠛⠛⠋⠚⠁⠑⠃⠛⠃⠃⠊⠋⠋⠉⠋⠉⠁⠚⠉⠁⠓⠚⠑⠃⠛⠁⠉⠊⠁⠊⠊⠃⠋⠁⠚⠛⠃⠊⠑ ⠀⠀ ⠼⠊⠃⠚⠑⠊⠋⠚⠑⠛⠚⠋⠚⠛⠑⠚⠙⠉⠙⠑⠋⠛⠃⠋⠛⠑⠚⠉⠉⠙⠃⠋⠓⠁⠚⠊⠑⠊⠃⠓ ⠓⠛⠙⠁⠙⠊⠚⠙⠊⠁⠋⠑⠓⠁⠉⠉⠚⠊⠊⠁⠊⠛⠋⠉⠛⠁⠑⠁⠛⠙⠁⠉⠑⠙⠋⠑⠉⠛⠁⠊ ⠀⠀ ⠼⠙⠙⠓⠛⠊⠑⠃⠑⠑⠑⠚⠑⠁⠃⠚⠋⠙⠉⠉⠊⠙⠁⠋⠛⠃⠁⠙⠃⠁⠉⠓⠚⠋⠓⠉⠛⠛⠓⠑ ⠃⠚⠛⠋⠃⠋⠚⠛⠛⠊⠊⠁⠃⠃⠋⠉⠓⠉⠉⠙⠙⠛⠛⠙⠙⠃⠃⠃⠓⠉⠓⠚⠑⠓⠑⠙⠋⠃⠓⠛ ⠀⠀ ⠼⠛⠙⠓⠋⠙⠋⠙⠑⠑⠛⠙⠃⠃⠉⠚⠛⠑⠉⠚⠊⠑⠋⠙⠁⠃⠊⠊⠚⠑⠑⠙⠙⠁⠚⠛⠙⠑⠊⠓ ⠁⠁⠃⠓⠓⠛⠚⠙⠓⠋⠃⠋⠁⠁⠸⠌⠉⠉⠚⠀⠀⠀⠀⠠⠃⠻⠝⠳⠇⠇⠊⠶⠼⠉⠙⠃⠶⠀⠀ ⠼⠊⠊⠊⠓⠋⠋⠓⠋⠊⠉⠑⠚⠑⠑⠛⠉⠋⠉⠛⠃⠃⠙⠑⠓⠙⠛⠊⠚⠚⠙⠉⠊⠑⠓⠉⠚⠓⠙⠛ ⠊⠑⠉⠁⠋⠊⠃⠙⠚⠁⠑⠃⠁⠁⠓⠚⠉⠚⠙⠓⠃⠊⠛⠃⠊⠓⠙⠓⠑⠋⠃⠑⠙⠁⠉⠊⠉⠙⠉⠃ ⠀⠀ ⠼⠓⠑⠑⠋⠉⠚⠑⠊⠛⠁⠚⠙⠃⠋⠁⠙⠃⠚⠚⠁⠉⠁⠚⠓⠁⠓⠋⠚⠙⠉⠚⠚⠃⠛⠓⠑⠑⠑⠊ ⠁⠁⠁⠚⠙⠓⠓⠉⠑⠑⠛⠁⠓⠋⠉⠃⠑⠉⠉⠉⠁⠑⠉⠊⠁⠛⠁⠃⠙⠉⠉⠚⠚⠙⠓⠉⠋⠓⠃⠙ ⠀⠀ ⠼⠊⠙⠑⠓⠚⠓⠛⠚⠑⠊⠚⠙⠚⠑⠃⠚⠑⠃⠊⠛⠚⠋⠑⠑⠋⠋⠙⠃⠛⠉⠃⠓⠚⠊⠙⠉⠋⠉⠉ ⠑⠋⠁⠃⠓⠃⠃⠛⠋⠊⠚⠙⠉⠃⠊⠛⠛⠁⠑⠑⠛⠓⠁⠑⠁⠊⠁⠓⠙⠋⠊⠉⠉⠋⠊⠙⠙⠁⠛⠊ ⠀⠀ ⠼⠙⠓⠉⠓⠋⠚⠊⠙⠋⠑⠚⠋⠉⠉⠙⠚⠚⠙⠁⠓⠋⠚⠚⠛⠉⠃⠙⠙⠋⠛⠓⠋⠙⠓⠙⠃⠊⠛⠓ ⠑⠑⠊⠃⠑⠚⠁⠛⠙⠁⠚⠓⠃⠋⠉⠓⠊⠊⠛⠚⠉⠚⠓⠑⠋⠊⠃⠃⠛⠙⠁⠙⠃⠉⠑⠉⠛⠋⠁⠓ ⠀⠀ ⠼⠚⠑⠁⠁⠉⠑⠛⠚⠊⠑⠃⠉⠚⠓⠓⠉⠓⠙⠃⠋⠊⠙⠑⠚⠊⠉⠊⠁⠛⠊⠑⠉⠊⠊⠋⠋⠙⠃⠋
These are the same pages the .brf download embosses — form-feed breaks and all. BRF opens in braille software (Duxbury, BrailleBlaster), on embossers, and on refreshable displays.