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Library / Mathematics / The First 498 Bernoulli Numbers / Braille

The First 498 Bernoulli Numbers ⠃⠗⠋ braille edition

Grade 1 — uncontracted, letter-for-letter. Translated on this server by our own braille engine (BRF — Braille Ready Format, Library of Congress fdd000551). View Grade 2 instead.

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89,968 braille cells · 126 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.