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.
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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.