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P. HISTORY OF ' AATHEMATICAL - School of Mathematics

P. HISTORY OF ' AATHEMATICAL - School of Mathematics

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246 A <strong>HISTORY</strong> <strong>OF</strong> MATHEMATICAL NOTATIONS<br />

by De Witt.' Wallis2 wrote n for + or -, and 8 for the contrary.<br />

The sign 8 was used in a restricted way, by James Berno~lli;~ he<br />

says, "8 significat + in pr. e - in post. hypoth.," i.e., the symbol<br />

stood for + according to the first hypothesis, and for -, according to<br />

the second hypothesis. He used this same symbol in his Ars conjectandi<br />

(1713), page 264. Van Schooten wrote also n for T. It<br />

should be added that n appears also in the older printed Greek books<br />

as a ligature or combination <strong>of</strong> two Greek letters, the omicron o and<br />

the upsilon u. The n appears also as an astronomical symbol for the<br />

constellation Taurus.<br />

Da Cunha4 introduced +' and +', or f' and T', to mean that<br />

the upper signs shall be taken simultaneously in both or the lower<br />

signs shall be taken simultaneously in both. Oliver, Wait, and Jones5<br />

denoted positive or negative N by 'N.<br />

211. The symbol [a] was introduced by Kroneckere to represent<br />

0 or +1 or - 1, according as a was 0 or +1 or -1. The symbol "sgn"<br />

has been used by some recent writers, as, for instance, PeanoJ7 Netto,*<br />

and Le Vavasseur, in a manner like this: "sgn A = + 1" when A >O,<br />

"egn A= -1" when A

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