Plus and Minus SignsDate: 08/14/2002 at 17:38:32 From: Ozgur Cobanoglu Subject: Plus or minus sign '±' I came across two signs while I was trying to do something with Microsoft Equation Editor. One of them is ± and in the other one the minus is over the plus sign. There must be a difference because there are two different signs. I have heard that one of them comes from ancient Egypt, but I don't know which. I want to learn their history and the difference in usage. Thank you. Date: 08/14/2002 at 22:43:19 From: Doctor Peterson Subject: Re: Plus or minus sign '±' Hi, Ozgur. We usually use the plus-or-minus sign, with the plus on top, when we want to indicate that both signs are valid. The classic example is in the quadratic formula, where each choice of sign for the square root leads to a different root. In some cases there will be two places in an equation (or set of equations) where a choice of sign is needed, and the choice is linked. If when one is chosen as positive the other is to be negative, we use a minus-or-plus sign for the second. This indicates that we choose either the top sign in both plases, or the bottom sign in both places. This is illustrated here in Eric Weisstein's MathWorld: http://mathworld.wolfram.com/PlusorMinus.html As for its origin, Jeff Miller's page Earliest Uses of Symbols of Operation http://jeff560.tripod.com/operation.html says Plus-or-minus symbol (±) was used by William Oughtred (1574-1660) in Clavis Mathematicae, published in 1631 (Cajori vol. 1, page 245). There may have been a similar symbol in Egypt, but it certainly would not have had this meaning. If you have any further questions, feel free to write back. - Doctor Peterson, The Math Forum http://mathforum.org/dr.math/ |
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