Library / Mathematics / Catalan's Constant [Ramanujan's Formula] / Braille
Catalan's Constant [Ramanujan's Formula] ⠃⠗⠋ 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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310,201 braille cells · 311 embossed pages at 40×25 · 36 unrepresentable characters omitted
⠋⠉⠃⠊⠁⠉⠓⠚⠛⠃⠛⠁⠑⠛⠊⠛⠋⠚⠚⠁⠓⠛⠓⠑⠁⠛⠑⠃⠙⠚⠑⠃⠋⠊⠋⠚⠛⠋⠑⠀ ⠼⠊⠑⠙⠑⠊⠃⠓⠋⠉⠊⠉⠃⠃⠊⠚⠉⠉⠋⠁⠙⠚⠃⠚⠃⠚⠑⠁⠊⠚⠊⠊⠊⠓⠁⠃⠋⠙⠙⠁ ⠙⠊⠙⠁⠊⠓⠙⠋⠃⠃⠑⠚⠚⠊⠊⠚⠁⠙⠑⠓⠋⠑⠓⠊⠚⠙⠓⠉⠉⠋⠑⠋⠑⠋⠊⠊⠑⠁⠙⠀ ⠼⠉⠊⠚⠛⠊⠉⠃⠓⠁⠚⠊⠙⠉⠉⠙⠉⠃⠚⠋⠊⠛⠃⠑⠁⠋⠃⠊⠑⠊⠚⠓⠊⠚⠛⠉⠓⠙⠙⠉ ⠛⠉⠉⠑⠙⠚⠁⠃⠙⠑⠋⠚⠙⠁⠃⠉⠋⠁⠓⠚⠊⠃⠛⠙⠙⠛⠚⠑⠁⠋⠉⠓⠋⠚⠊⠃⠙⠙⠑⠀ ⠼⠛⠊⠓⠑⠁⠙⠃⠁⠚⠁⠚⠊⠃⠊⠉⠛⠋⠉⠁⠉⠙⠊⠙⠚⠃⠉⠁⠙⠊⠁⠁⠋⠑⠓⠁⠋⠙⠊⠁ ⠉⠓⠉⠊⠃⠉⠉⠙⠃⠉⠁⠋⠃⠋⠓⠓⠃⠃⠉⠑⠉⠋⠃⠉⠁⠋⠉⠊⠋⠃⠑⠚⠁⠊⠙⠋⠚⠑⠋⠀ ⠼⠉⠊⠁⠁⠊⠙⠙⠋⠓⠑⠁⠊⠙⠛⠃⠃⠑⠊⠑⠊⠋⠑⠓⠚⠋⠙⠋⠊⠉⠋⠓⠃⠚⠁⠁⠚⠙⠃⠙ ⠓⠁⠁⠁⠃⠚⠛⠁⠑⠑⠃⠊⠃⠋⠉⠓⠚⠁⠙⠁⠙⠉⠚⠓⠚⠊⠑⠛⠙⠃⠋⠊⠊⠃⠃⠓⠊⠙⠛⠀ ⠼⠛⠚⠊⠛⠑⠓⠛⠁⠑⠁⠛⠁⠛⠛⠓⠉⠃⠁⠚⠉⠓⠋⠓⠙⠁⠑⠑⠚⠊⠓⠛⠉⠉⠑⠊⠑⠋⠃⠑ ⠋⠁⠋⠊⠙⠑⠓⠚⠉⠛⠓⠙⠓⠊⠚⠚⠙⠑⠋⠛⠓⠁⠁⠁⠑⠁⠉⠛⠁⠃⠛⠉⠚⠚⠃⠚⠓⠋⠉⠀ ⠼⠉⠉⠁⠓⠁⠃⠙⠁⠋⠃⠃⠛⠁⠚⠁⠃⠋⠁⠃⠃⠙⠓⠁⠉⠑⠚⠛⠙⠑⠚⠛⠉⠃⠋⠓⠙⠃⠋⠋ ⠙⠁⠊⠉⠉⠋⠊⠛⠙⠃⠑⠙⠓⠛⠁⠚⠚⠉⠃⠑⠃⠊⠉⠙⠋⠑⠑⠉⠃⠓⠑⠚⠓⠃⠊⠛⠚⠁⠃⠀ ⠼⠁⠚⠚⠃⠉⠙⠉⠉⠛⠋⠃⠁⠚⠉⠋⠚⠃⠛⠓⠋⠁⠉⠚⠊⠃⠓⠙⠓⠁⠓⠓⠙⠛⠊⠉⠓⠓⠋⠙ ⠛⠛⠓⠉⠁⠛⠋⠙⠑⠛⠃⠚⠙⠙⠊⠋⠓⠓⠚⠊⠑⠊⠃⠙⠉⠚⠃⠃⠑⠙⠙⠙⠊⠉⠙⠙⠃⠃⠑⠀ ⠼⠛⠚⠚⠑⠑⠁⠁⠙⠚⠊⠛⠃⠊⠉⠚⠁⠋⠑⠁⠋⠙⠑⠉⠊⠃⠊⠚⠋⠓⠛⠚⠋⠃⠓⠛⠙⠑⠃⠋ ⠑⠑⠃⠛⠉⠚⠚⠃⠑⠉⠓⠉⠁⠃⠃⠃⠉⠁⠙⠙⠁⠉⠉⠉⠑⠁⠉⠙⠃⠊⠁⠑⠋⠃⠋⠁⠑⠑⠛⠀ ⠼⠋⠁⠉⠙⠙⠚⠓⠑⠋⠛⠛⠛⠑⠓⠃⠁⠃⠁⠙⠓⠑⠃⠃⠋⠓⠚⠑⠓⠙⠙⠊⠁⠚⠙⠑⠃⠋⠊⠚ ⠉⠁⠙⠃⠙⠛⠊⠊⠛⠃⠑⠊⠙⠁⠓⠁⠚⠓⠓⠚⠓⠊⠑⠋⠉⠋⠉⠚⠓⠚⠛⠁⠉⠚⠊⠙⠋⠃⠓⠀ ⠼⠁⠛⠁⠛⠋⠃⠁⠋⠊⠙⠚⠃⠑⠊⠛⠙⠙⠛⠊⠑⠓⠋⠙⠛⠊⠋⠚⠉⠁⠚⠃⠑⠛⠃⠋⠉⠃⠙⠃ ⠓⠑⠉⠛⠃⠚⠓⠊⠋⠊⠓⠛⠚⠋⠛⠋⠙⠁⠃⠓⠛⠑⠃⠊⠋⠙⠚⠋⠉⠁⠉⠚⠊⠓⠛⠁⠉⠑⠃⠀ ⠼⠓⠚⠓⠚⠓⠁⠃⠑⠛⠃⠊⠁⠁⠙⠓⠃⠋⠚⠓⠋⠓⠓⠋⠙⠓⠃⠚⠑⠋⠃⠙⠓⠑⠋⠃⠃⠚⠃⠋ ⠉⠙⠚⠃⠁⠚⠓⠓⠊⠛⠃⠁⠓⠛⠓⠚⠋⠉⠋⠃⠊⠑⠃⠙⠁⠁⠋⠛⠚⠓⠙⠚⠑⠑⠁⠉⠋⠁⠙⠀ ⠼⠓⠊⠃⠋⠛⠓⠁⠉⠁⠉⠋⠃⠑⠓⠉⠙⠑⠊⠋⠑⠋⠋⠁⠊⠚⠙⠉⠃⠊⠓⠃⠛⠉⠃⠋⠁⠋⠃⠋ ⠑⠋⠉⠋⠑⠋⠓⠉⠛⠉⠙⠊⠑⠙⠑⠚⠋⠙⠙⠃⠚⠋⠊⠓⠛⠋⠁⠋⠉⠓⠑⠊⠊⠋⠙⠋⠓⠁⠋⠀
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