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Disjunctive Population
Disjunctive can refer to: * Disjunctive population, in population ecology, a group of plants or animals disconnected from the rest of its range * Disjunctive pronoun * Disjunctive set * Disjunctive sequence * Logical disjunction In logic, disjunction (also known as logical disjunction, logical or, logical addition, or inclusive disjunction) is a logical connective typically notated as \lor and read aloud as "or". For instance, the English language sentence "it is ... See also * Disjoint (other) * Disjunct (other) {{disambig ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Disjunctive Pronoun
A disjunctive pronoun is a stressed form of a personal pronoun reserved for use in isolation or in certain syntactic contexts. Examples and usage Disjunctive pronominal forms are typically found in the following contexts. The examples are taken from French language, French, which uses the disjunctive first person singular pronoun ''moi''. The (sometimes colloquial) English language, English translations illustrate similar uses of ''me'' as a disjunctive form. *in syntactically unintegrated disjunct (linguistics), disjunct (or "dislocated") positions :''Les autres s'en vont, mais moi, je reste.'' :: The others are leaving, but me, I'm staying. *in elliptical constructions (often "sentence fragments") with no verb (e.g. short answers) :''Qui veut du gâteau ? Moi.'' :: Who wants cake? Me. (cf. "I do") :''Il est plus âgé que moi.'' :: He is older than me. (cf. "I am") *in the main clause of a Clefting, cleft sentence :''C'est moi que vous cherchez.'' :: It's me that you're looking fo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Disjunctive Set
In mathematics and computer science, the syntactic monoid M(L) of a formal language L is the minimal monoid that recognizes the language L. By the Myhill–Nerode theorem, the syntactic monoid is unique up to unique isomorphism. Syntactic quotient An alphabet is a finite set. The free monoid on a given alphabet is the monoid whose elements are all the strings of zero or more elements from that set, with string concatenation as the monoid operation and the empty string as the identity element. Given a subset S of a free monoid M, one may define sets that consist of formal left or right inverses of elements in S. These are called quotients, and one may define right or left quotients, depending on which side one is concatenating. Thus, the right quotient of S by an element m from M is the set :S \ / \ m=\. Similarly, the left quotient is :m \setminus S=\. Syntactic equivalence The syntactic quotient induces an equivalence relation on M, called the syntactic relation, or synt ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Disjunctive Sequence
A disjunctive sequence is an infinite sequence of characters drawn from a finite alphabet, in which every finite string appears as a substring. For instance, the binary Champernowne sequence :0\ 1\ 00\ 01\ 10\ 11\ 000\ 001 \ldots formed by concatenating all binary strings in shortlex order, clearly contains all the binary strings and so is disjunctive. (The spaces above are not significant and are present solely to make clear the boundaries between strings). The complexity function of a disjunctive sequence ''S'' over an alphabet of size ''k'' is ''p''''S''(''n'') = ''k''''n''.Bugeaud (2012) p.91 Any normal sequence (a sequence in which each string of equal length appears with equal frequency) is disjunctive, but the converse is not true. For example, letting 0''n'' denote the string of length ''n'' consisting of all 0s, consider the sequence :0\ 0^1\ 1\ 0^2\ 00\ 0^4\ 01\ 0^8\ 10\ 0^\ 11\ 0^\ 000\ 0^\ldots obtained by splicing exponentially long strings of 0s into the s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Logical Disjunction
In logic, disjunction (also known as logical disjunction, logical or, logical addition, or inclusive disjunction) is a logical connective typically notated as \lor and read aloud as "or". For instance, the English language sentence "it is sunny or it is warm" can be represented in logic using the disjunctive formula S \lor W , assuming that S abbreviates "it is sunny" and W abbreviates "it is warm". In classical logic, disjunction is given a truth functional semantics according to which a formula \phi \lor \psi is true unless both \phi and \psi are false. Because this semantics allows a disjunctive formula to be true when both of its disjuncts are true, it is an ''inclusive'' interpretation of disjunction, in contrast with exclusive disjunction. Classical proof theoretical treatments are often given in terms of rules such as disjunction introduction and disjunction elimination. Disjunction has also been given numerous non-classical treatments, motivated by problems ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Disjoint (other)
Disjoint may refer to: *Disjoint sets, sets with no common elements *Mutual exclusivity, the impossibility of a pair of propositions both being true See also *Disjoint union *Disjoint-set data structure In computer science, a disjoint-set data structure, also called a union–find data structure or merge–find set, is a data structure that stores a collection of Disjoint sets, disjoint (non-overlapping) Set (mathematics), sets. Equivalently, it ... {{disambig ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
