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In grammar, an object complement is a predicative expression that follows a direct object of an attributive ditransitive verb or resultative verb and that complements the direct object of the sentence by describing it. [1] [2] [3] Object complements are constituents of the predicate. Noun phrases and adjective phrases most frequently function ...
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 ...
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]
The following diagram shows the syntactic structure of the clause this is a tree. The clause has a subject noun phrase (Subj: NP) this and a head verb phrase (Head: VP). The VP has a head verb is and a predicative complement NP (PredComp: NP) a tree.
The absolute complement described above is the complement operation in the Boolean lattice; and U, as the nullary intersection, serves as the top element (or nullary meet) in the Boolean lattice. Then De Morgan's laws , which deal with complements of meets and joins (which are unions in set theory) apply, and apply even to the nullary meet and ...
A set of polygons in an Euler diagram This set equals the one depicted above since both have the very same elements.. In mathematics, a set is a collection of different [1] things; [2] [3] [4] these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other ...
The intersection of A and B is the set of all objects which are both in A and in B. It is denoted by A ∩ B. Finally, the relative complement of B relative to A, also known as the set theoretic difference of A and B, is the set of all objects that belong to A but not to B. It is written as A \ B or A − B. Symbolically, these are respectively
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects.Although objects of any kind can be collected into a set, set theory – as a branch of mathematics – is mostly concerned with those that are relevant to mathematics as a whole.