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Quadratic Number Fields Franz Lemmermeyer There may be a two-way distinction in number, as between singular and plural, three-way, as between singular, dual, and plural, or more. This shows grade level based on the word's complexity. You can write numbers in words, such as six, seven, and eight, or with symbols, such as 6, 7, and 8. For mechanical devices, the symbol appeared on the keyboard of the Remington Standard typewriter (c. 1886) but was not used on the keyboards used for typesetting. It appeared in many of the early teleprinter codes and from there was copied to ASCII, which made it available on computers and thus caused many more uses to be found for the character. The symbol was introduced on the bottom right button of touch-tone keypads in 1968, but that button was not extensively used until the advent of large scale voicemail (PBX systems, etc.) in the early 1980s. Consider the numbers having incrementally largest numbers of letters. This gives the sequence 1, 3, 11