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a:algebraic-characters [2018/03/30 02:05] (current)
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 +<< [[contents:​index| Dictionary Index]] << [[contents:​a|Definitions under A]]
 +
 +----
 +
 +====== Algebraic Characters ======
 +
 ++ is the sign of addition; as c + d denotes that d is to be added to c;
 +
 +- is the sign of subtraction;​ thus, c - d implies that d is to be subtracted from c.
 +
 +x is the sign of multiplication;​ as c x d means the product of c and d.
 + 
 +÷ is the sign of division; c ÷ d signifies the quotient of c and d. 
 +
 += is the sign of equality; thus c + d = e means the sum of c and d equals e.
 +
 +√ is the sign of the square root; thus √x denotes the square root of a.
 + 
 +
 +<wrap fontsize-15em>​∛</​wrap>​ is the sign of the cube root, and generally any root of a quantity may be denoted by this sign, with the index of the root placed over it; thus <wrap fontsize-15em>​∛</​wrap>​ signifies the cube root, <wrap fontsize-15em>​∜</​wrap>​ the biquadrate root, etc.; but they may likewise be represented by the reciprocals of these indices ; as x {{:​f:​fraction-one-two.png|fraction 1⁄2}}, x {{:​a:​fraction-one-three.png|fraction 1⁄3}}, implying the square and cube roots of x. 
 +
 +A vinculum is a line drawn over several quantities, and means that they are taken together, as {{:​a:​square-root.png|}} signifies the square root of ax and b. —// Phillips'​s Compendium of Algebra//. 12mo. 1824. 
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 +[<6>]