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Comptometer from the 1920s, with nines' complements marked on each key. The method of complements was used in many mechanical calculators as an alternative to running the gears backwards. For example: Pascal's calculator had two sets of result digits, a black set displaying the normal result and a red set displaying the nines' complement of ...
Throughout this article, capital letters (such as ,,,,, and ) will denote sets.On the left hand side of an identity, typically, will be the leftmost set, will be the middle set, and
The Schur complement arises when performing a block Gaussian elimination on the matrix M.In order to eliminate the elements below the block diagonal, one multiplies the matrix M by a block lower triangular matrix on the right as follows: = [] [] [] = [], where I p denotes a p×p identity matrix.
Two's complement is the most common method of representing signed (positive, negative, and zero) integers on computers, [1] and more generally, fixed point binary values. Two's complement uses the binary digit with the greatest value as the sign to indicate whether the binary number is positive or negative; when the most significant bit is 1 the number is signed as negative and when the most ...
The n's complement of m is n - m. For example, the ten's complement of 7 is 3; the one's complement of 1/3 is 2/3, the hundred's complement of 28 is 72. It's true that the ten's complement of 7 is 3, and if you consider "28" a single digit in base 100, I suppose it's hundred's complement is "72".
The ones' complement of a binary number is the value obtained by inverting (flipping) all the bits in the binary representation of the number. The name "ones' complement" [1] refers to the fact that such an inverted value, if added to the original, would always produce an "all ones" number (the term "complement" refers to such pairs of mutually additive inverse numbers, here in respect to a ...
The knot complement is then the complement of N, = (). The knot complement X K is a compact 3-manifold; the boundary of X K and the boundary of the neighborhood N are homeomorphic to a two-torus. Sometimes the ambient manifold M is understood to be the 3-sphere. Context is needed to determine the usage.
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