Crossword clues for unification
Longman Dictionary of Contemporary English
The Collaborative International Dictionary
Unification \U`ni*fi*ca"tion\, n. [See Unify.] The act of unifying, or the state of being unified.
Unification with God was the final aim of the
Neoplatonicians.
--Fleming.
Douglas Harper's Etymology Dictionary
1849, noun of action from unify (v.). Unification Church was founded 1954.
Wiktionary
n. 1 The act of unifying. 2 The state of being unify. 3 (context mathematical logic computer science English) Given two terms, their join with respect to a specialisation order.
WordNet
n. an occurrence that involves the production of a union [syn: fusion, merger]
the state of being joined or united or linked; "there is strength in union" [syn: union] [ant: separation]
the act of making or becoming a single unit; "the union of opposing factions"; "he looked forward to the unification of his family for the holidays" [syn: union, uniting, conjugation, jointure] [ant: disunion]
Wikipedia
"Unification" is the title of a two-part episode of the syndicated American science fiction television series Star Trek: The Next Generation, from the fifth season, which features Leonard Nimoy as Spock. It earned a 15.4 household Nielsen rating, drawing over 25 million viewers, making it one of the most watched episodes in all seven seasons of The Next Generations run.
Hearing that legendary Starfleet officer Spock may have defected to the Romulan Empire, Picard travels to Vulcan to talk to Spock's father, former ambassador Sarek, who is near death from the ravages of Bendii Syndrome. In a rare lucid moment, Sarek discloses that Spock has long harbored hopes of peacefully reuniting the Vulcan and Romulan peoples, who once were part of the same civilization. Rather than committing treason, Spock actually may be initiating steps to achieve that peaceful goal. Determined to find the truth, Picard and Data, disguised as Romulans, set out for the Romulan homeworld. Upon finding Spock, Picard learns that the Vulcan is indeed on an unauthorized mission to reunify his people with the Romulans. Spock counts among his allies a Romulan senator named Pardek and the Romulan proconsul Neral.
In logic and computer science, unification is an algorithmic process of solving equations between symbolic expressions.
Depending on which expressions (also called terms) are allowed to occur in an equation set (also called unification problem), and which expressions are considered equal, several frameworks of unification are distinguished. If higher-order variables, that is, variables representing functions, are allowed in an expression, the process is called higher-order unification, otherwise first-order unification. If a solution is required to make both sides of each equation literally equal, the process is called syntactic or free unification, otherwise semantic or equational unification, or E-unification, or unification modulo theory.
A solution of a unification problem is denoted as a substitution, that is, a mapping assigning a symbolic value to each variable of the problem's expressions. A unification algorithm should compute for a given problem a complete, and minimal substitution set, that is, a set covering all its solutions, and containing no redundant members. Depending on the framework, a complete and minimal substitution set may have at most one, at most finitely many, or possibly infinitely many members, or may not exist at all. In some frameworks it is generally impossible to decide whether any solution exists. For first-order syntactical unification, Martelli and Montanari gave an algorithm that reports unsolvability or computes a complete and minimal singleton substitution set containing the so-called most general unifier.
For example, using x,y,z as variables, the singleton equation set { cons(x,cons(x, nil)) = cons(2,y) } is a syntactic first-order unification problem that has the substitution { x ↦ 2, y ↦ cons(2,nil) } as its only solution. The syntactic first-order unification problem { y = cons(2,y) } has no solution over the set of finite terms; however, it has the single solution { y ↦ cons(2,cons(2,cons(2,...))) } over the set of infinite trees. The semantic first-order unification problem { a⋅x = x⋅a } has each substitution of the form { x ↦ a⋅...⋅a } as a solution in a semigroup, i.e. if (⋅) is considered associative; the same problem, viewed in an abelian group, where (⋅) is considered also commutative, has any substitution at all as a solution. The singleton set { a = y(x) } is a syntactic second-order unification problem, since y is a function variable. One solution is { x ↦ a, y ↦ ( identity function) }; another one is { y ↦ ( constant function mapping each value to a), x ↦ (any value) }.
The first formal investigation of unification can be attributed to John Alan Robinson, who used first-order syntactical unification as a basic building block of his resolution procedure for first-order logic, a great step forward in automated reasoning technology, as it eliminated one source of combinatorial explosion: searching for instantiation of terms. Today, automated reasoning is still the main application area of unification. Syntactical first-order unification is used in logic programming and programming language type system implementation, especially in Hindley–Milner based type inference algorithms. Semantic unification is used in SMT solvers, term rewriting algorithms and cryptographic protocol analysis. Higher-order unification is used in proof assistants, for example Isabelle and Twelf, and restricted forms of higher-order unification (higher-order pattern unification) are used in some programming language implementations, such as lambdaProlog, as higher-order patterns are expressive, yet their associated unification procedure retains theoretical properties closer to first-order unification.
Unification is the second studio album by the German power metal band Iron Savior. It continues the science fiction story that began on the first album Iron Savior.
Unification or unification theory may refer to:
Usage examples of "unification".
One of the first priorities the drafters of the Program of Unification had set for themselves was the disarmament of the people.
The universe itself would be entelechial, moving toward unity in the sense that it is moving toward the unification of all its dynamical systems into one system.
Darfur, when it can at last be written, will therefore reproduce the same varying process of steady unification, institutional stability, and dynastic warfare that appears elsewhere across the Sudan from the Nile to the Atlantic.
The Third World does not really disappear in the process of unification of the world market but enters into the First, establishes itself at the heart as ghetto, shantytown, favela, always again produced and reproduced.
The unification of spacetime was ripped apart by the forces of quantum gravity, and space became a seething probabilistic froth, laced by wormholes.
The increasing socialization of capital led also toward the social unification of the proletariat.
It is because we desire a unification of human direction, not simply for the sake of unity, but as a means of release to happiness and power, that it is necessary, at any cost--in delay, in loss of effective force, in strategic or tactical disadvantage--that the light of free, abundant criticism should play upon that direction and upon the movements and unifying organizations leading to the establishment of that unifying direction.
The first institution of the Zollverein, or commercial union with several States, gradually extended, was a measure which did much for the unification of Germany.
On the rise of philosophic reflection, these tacit presuppositions are first taken as dogmas, and later as postulates of scientific generalisation, and of the architectonic unification of science.
The provisional form of the restoration of Europe to health and unification of Europe was gradually assimilated by the countries of Europe, one after the other.
Soon the Serbian Party was founded, which acted in coalition with the Autonomists and opposed the unification of Dalmatia and Croatia.
Every successive revolutionary disturbance in Naples saw a recrudescence of brigandage down to the unification of 1860-1861, and then it was years before the Italian government rooted it out.
Chekhov, the only way that the eternal can be achieved is aesthetically through a unification with the human.
Rather it acts as an absolutely positive force that pushes the dominating power toward an abstract and empty unification, to which it appears as the distinct alternative.
The universe itself would be entelechial, moving toward unity in the sense that it is moving toward the unification of all its dynamical systems into one system.