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Completion (other)
Completion may refer to: *Completion (American football) *Completion (oil and gas wells) * ''Completion'', a 2004 studio album by Bodychoke * One of the landmarks in conveyancing, transfer of the title of property from one person to another Mathematics *Completion (metric space), constructing the smallest complete metric space containing a given space * Construction of a complete measure space *Dedekind–MacNeille completion, constructing the smallest complete lattice containing a given partial order *Completion (algebra) Computer science *Autocomplete, predicting a phrase the user is about to type in *Knuth–Bendix completion algorithm, transforming an equation set into a confluent term rewriting system See also * Completeness (other) Complete may refer to: Logic * Completeness (logic) * Completeness of a theory, the property of a theory that every formula in the theory's language or its negation is provable Mathematics * The completeness of the real numb ...
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Completion (American Football)
In American football, a completion or completed pass occurs when an eligible receiver (usually a wide receiver or a tight end) successfully catches a forward pass thrown by the quarterback without the ball touching the ground. It is one of the three possible outcomes of any pass thrown during a passing play, with the other two being incompletion and interception. Statistically, a completed pass is recorded down as a completion for the quarterback, and as a reception for the player catching the ball. The recorded yardage gained is the total yardage gained when the play ends, and may be subdivided into Air Yards (the distance from the line of scrimmage to the spot where the ball was caught) and Yards After Catch (the distance from where the ball was caught to where the play ends on the field or out of bounds In sports, out of bounds (or out-of-bounds) refers to being outside the playing boundaries of the field. Due to the chaotic nature of play, it is normal in many sports fo ...
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Completion (oil And Gas Wells)
Well completion is the process of making a well ready for production (or injection) after drilling operations. This principally involves preparing the bottom of the hole to the required specifications, running in the production tubing and its associated down hole tools as well as perforating and stimulating as required. Sometimes, the process of running in and cementing the casing is also included. After a well has been drilled, should the drilling fluids be removed, the well would eventually close in upon itself. Casing ensures that this will not happen while also protecting the wellstream from outside incumbents, like water or sand. Lower completion (downhole completion) This refers to the portion of the well across the production or injection zone. The well designer has many tools and options available to design the lower completion (downhole completion) according to the conditions of the reservoir. Typically, the lower completion is set across the productive zone using a liner ...
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Bodychoke
Bodychoke was an experimental noise rock side project of power electronics band Sutcliffe Jügend active between 1993 and 1999. The band released four studio albums, most notably their debut ''Mindshaft'' (Freek Records) produced by British psychedelic dub musician Ott and ''Five Prostitutes'' which was produced by Steve Albini. Their music expressed themes of hate and disgust, as well as some of the sexual perversion and death tackled by Sutcliffe Jügend. The band's style is hard to categorize, a combination of noise rock, post-rock, industrial music and even gothic rock elements. A typical Bodychoke song is driven along by a strong repetitive riff on the bass and drums, tensioned against layers of distorted guitar noise, with vocals ranging from bassy murmurs to deranged screaming. From 1996, cello featured as both a melodic and rhythmic element, and sometimes as a source of ambient sound-effects. The arrival of Manu Ros in 1998 brought a more complex, "tribal" feel to t ...
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Conveyancing
In law, conveyancing is the transfer of legal title of real property from one person to another, or the granting of an encumbrance such as a mortgage or a lien. A typical conveyancing transaction has two major phases: the exchange of contracts (when equitable interests are created) and completion (also called settlement, when legal title passes and equitable rights merge with the legal title). The sale of land is governed by the laws and practices of the jurisdiction in which the land is located. It is a legal requirement in all jurisdictions that contracts for the sale of land be in writing. An exchange of contracts involves two copies of a contract of sale being signed, one copy of which is retained by each party. When the parties are together, both would usually sign both copies, one copy of which being retained by each party, sometimes with a formal handing over of a copy from one party to the other. However, it is usually sufficient that only the copy retained by each part ...
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Completion (metric Space)
In mathematical analysis, a metric space is called complete (or a Cauchy space) if every Cauchy sequence of points in has a limit that is also in . Intuitively, a space is complete if there are no "points missing" from it (inside or at the boundary). For instance, the set of rational numbers is not complete, because e.g. \sqrt is "missing" from it, even though one can construct a Cauchy sequence of rational numbers that converges to it (see further examples below). It is always possible to "fill all the holes", leading to the ''completion'' of a given space, as explained below. Definition Cauchy sequence A sequence x_1, x_2, x_3, \ldots in a metric space (X, d) is called Cauchy if for every positive real number r > 0 there is a positive integer N such that for all positive integers m, n > N, d\left(x_m, x_n\right) < r. Complete space A metric space (X, d) is complete if any of the following equivalent conditions are satisfied: :#Every

Complete Measure
In mathematics, a complete measure (or, more precisely, a complete measure space) is a measure space in which every subset of every null set is measurable (having measure zero). More formally, a measure space (''X'', Σ, ''μ'') is complete if and only if :S \subseteq N \in \Sigma \mbox \mu(N) = 0\ \Rightarrow\ S \in \Sigma. Motivation The need to consider questions of completeness can be illustrated by considering the problem of product spaces. Suppose that we have already constructed Lebesgue measure on the real line: denote this measure space by (\R, B, \lambda). We now wish to construct some two-dimensional Lebesgue measure \lambda^2 on the plane \R^2 as a product measure. Naively, we would take the -algebra on \R^2 to be B \otimes B, the smallest -algebra containing all measurable "rectangles" A_1 \times A_2 for A_1, A_2 \in B. While this approach does define a measure space, it has a flaw. Since every singleton set has one-dimensional Lebesgue measure zero, \lam ...
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Dedekind–MacNeille Completion
In mathematics, specifically order theory, the Dedekind–MacNeille completion of a partially ordered set is the smallest complete lattice that contains it. It is named after Holbrook Mann MacNeille whose 1937 paper first defined and constructed it, and after Richard Dedekind because its construction generalizes the Dedekind cuts used by Dedekind to construct the real numbers from the rational numbers. It is also called the completion by cuts or normal completion. Order embeddings and lattice completions A partially ordered set (poset) consists of a set of elements together with a binary relation on pairs of elements that is reflexive ( for every ''x''), transitive (if and then ), and antisymmetric (if both and hold, then ). The usual numeric orderings on the integers or real numbers satisfy these properties; however, unlike the orderings on the numbers, a partial order may have two elements that are ''incomparable'': neither nor holds. Another familiar example of a par ...
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Completion (algebra)
In abstract algebra, a completion is any of several related functors on rings and modules that result in complete topological rings and modules. Completion is similar to localization, and together they are among the most basic tools in analysing commutative rings. Complete commutative rings have a simpler structure than general ones, and Hensel's lemma applies to them. In algebraic geometry, a completion of a ring of functions ''R'' on a space ''X'' concentrates on a formal neighborhood of a point of ''X'': heuristically, this is a neighborhood so small that ''all'' Taylor series centered at the point are convergent. An algebraic completion is constructed in a manner analogous to completion of a metric space with Cauchy sequences, and agrees with it in the case when ''R'' has a metric given by a non-Archimedean absolute value. General construction Suppose that ''E'' is an abelian group with a descending filtration : E = F^0 E \supset F^1 E \supset F^2 E \supset \cdots \, of s ...
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Autocomplete
Autocomplete, or word completion, is a feature in which an application predicts the rest of a word a user is typing. In Android and iOS smartphones, this is called predictive text. In graphical user interfaces, users can typically press the tab key to accept a suggestion or the down arrow key to accept one of several. Autocomplete speeds up human-computer interactions when it correctly predicts the word a user intends to enter after only a few characters have been typed into a text input field. It works best in domains with a limited number of possible words (such as in command line interpreters), when some words are much more common (such as when addressing an e-mail), or writing structured and predictable text (as in source code editors). Many autocomplete algorithms learn new words after the user has written them a few times, and can suggest alternatives based on the learned habits of the individual user. Definition Original purpose The original purpose of word predic ...
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Knuth–Bendix Completion Algorithm
The Knuth–Bendix completion algorithm (named after Donald Knuth and Peter Bendix) is a semi-decision algorithm for transforming a set of equations (over terms) into a confluent term rewriting system. When the algorithm succeeds, it effectively solves the word problem for the specified algebra. Buchberger's algorithm for computing Gröbner bases is a very similar algorithm. Although developed independently, it may also be seen as the instantiation of Knuth–Bendix algorithm in the theory of polynomial rings. Introduction For a set ''E'' of equations, its deductive closure () is the set of all equations that can be derived by applying equations from ''E'' in any order. Formally, ''E'' is considered a binary relation, () is its rewrite closure, and () is the equivalence closure of (). For a set ''R'' of rewrite rules, its deductive closure ( ∘ ) is the set of all equations that can be confirmed by applying rules from ''R'' left-to-right to both sides until they are literal ...
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