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This article lists mathematical properties and laws of sets, involving the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion.
If A is a set, then the absolute complement of A (or simply the complement of A) is the set of elements not in A (within a larger set that is implicitly defined). In other words, let U be a set that contains all the elements under study; if there is no need to mention U, either because it has been previously specified, or it is obvious and unique, then the absolute complement of A is the ...
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 ...
Complements have less than three letters and are conducted by c. The complement is an adjective when modifying a noun or pronoun and an adverb when qualifying any other word. The suffix -w may also be added to adverbs to make it clearer. They generally end with a short-sound letter. l and w are avoided at the end of
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.
According to the Social Security Administration, top names that begin with “M” for girls since 1922 include Margaret, Mary, Melissa, Michelle and Madison. Top “M” names for boys include ...
In many non-theoretical grammars, the terms subject complement (also called a predicative of the subject) and object complement are employed to denote the predicative expressions (predicative complements), such as predicative adjectives and nominals (also called a predicative nominative or predicate nominative), that serve to assign a property to a subject or an object: [3]
For years, whenever I wanted to compliment someone, I’d quote the film’s famous line: “That’ll do, Pig, that’ll do.” Recently, I finally got my husband to watch the movie with me.