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Integration
Integration may refer to: Biology * Multisensory integration * Path integration * Pre-integration complex, viral genetic material used to insert a viral genome into a host genome *DNA integration, by means of site-specific recombinase technology, performed by a specific class of recombinase enzymes ("integrases") Economics and law * Economic integration, trade unification between different states * Horizontal integration and vertical integration, in microeconomics and strategic management, styles of ownership and control * Regional integration, in which states cooperate through regional institutions and rules * Integration clause, a declaration that a contract is the final and complete understanding of the parties *A step in the process of money laundering * Integrated farming, a farm management system *Integration (tax), a feature of corporate and personal income tax in some countries Engineering * Data integration *Digital integration * Enterprise integration *Integrate ...
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Enterprise Integration
Enterprise integration is a technical field of enterprise architecture, which is focused on the study of topics such as system interconnection, electronic data interchange, product data exchange and distributed computing environments. It is a concept in enterprise engineering to provide the relevant information and thereby enable communication between people, machines and computers and their efficient co-operation and co-ordination. The Generalised Enterprise Reference Architecture and Methodology (GERAM) framework defined by the IFAC/IFIP Task Force provides the necessary guidance of the modelling process, see figure, and enables semantic unification of the model contents as well. The framework identifies the set of components necessary and helpful for enterprise modelling. The general concepts identified and defined in the reference architecture consist of life cycle, life history, model views among others. These concept help the user to create and maintain the process model ...
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Integration By Parts
In calculus, and more generally in mathematical analysis, integration by parts or partial integration is a process that finds the integral of a product of functions in terms of the integral of the product of their derivative and antiderivative. It is frequently used to transform the antiderivative of a product of functions into an antiderivative for which a solution can be more easily found. The rule can be thought of as an integral version of the product rule of differentiation. The integration by parts formula states: \begin \int_a^b u(x) v'(x) \, dx & = \Big (x) v(x)\Biga^b - \int_a^b u'(x) v(x) \, dx\\ & = u(b) v(b) - u(a) v(a) - \int_a^b u'(x) v(x) \, dx. \end Or, letting u = u(x) and du = u'(x) \,dx while v = v(x) and dv = v'(x) \, dx, the formula can be written more compactly: \int u \, dv \ =\ uv - \int v \, du. Mathematician Brook Taylor discovered integration by parts, first publishing the idea in 1715. More general formulations of integration by parts e ...
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Regional Integration
Regional Integration is a process in which neighboring countries enter into an agreement in order to upgrade cooperation through common institutions and rules. The objectives of the agreement could range from economic to political to environmental, although it has typically taken the form of a political economy initiative where commercial interests are the focus for achieving broader socio-political and security objectives, as defined by national governments. Regional integration has been organized either via supranational institutional structures or through intergovernmental decision-making, or a combination of both. Past efforts at regional integration have often focused on removing barriers to free trade in the region, increasing the free movement of people, labour, goods, and capital across national borders, reducing the possibility of regional armed conflict (for example, through Confidence and Security-Building Measures), and adopting cohesive regional stances on po ...
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Vertical Integration
In microeconomics, management and international political economy, vertical integration is a term that describes the arrangement in which the supply chain of a company is integrated and owned by that company. Usually each member of the supply chain produces a different product or (market-specific) service, and the products combine to satisfy a common need. It contrasts with horizontal integration, wherein a company produces several items that are related to one another. Vertical integration has also described management styles that bring large portions of the supply chain not only under a common ownership but also into one corporation (as in the 1920s when the Ford River Rouge Complex began making much of its own steel rather than buying it from suppliers). Vertical integration and expansion is desired because it secures supplies needed by the firm to produce its product and the market needed to sell the product. Vertical integration and expansion can become undesirable wh ...
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Social Integration
Social integration is the process during which newcomers or minorities are incorporated into the social structure of the host society. Social integration, together with economic integration and identity integration, are three main dimensions of a newcomers' experiences in the society that is receiving them. A higher extent of social integration contributes to a closer social distance between groups and more consistent values and practices. Bringing together various ethnic groups irrespective of language, caste, creed, etc., without losing one's identity. It gives access to all areas of community life and eliminates segregation. In a broader view, social integration is a dynamic and structured process in which all members participate in dialogue to achieve and maintain peaceful social relations. Social integration does not mean forced assimilation. Social integration is focused on the need to move toward a safe, stable and just society by mending conditions of social conflic ...
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Integral
In mathematics, an integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data. The process of finding integrals is called integration. Along with differentiation, integration is a fundamental, essential operation of calculus,Integral calculus is a very well established mathematical discipline for which there are many sources. See and , for example. and serves as a tool to solve problems in mathematics and physics involving the area of an arbitrary shape, the length of a curve, and the volume of a solid, among others. The integrals enumerated here are those termed definite integrals, which can be interpreted as the signed area of the region in the plane that is bounded by the graph of a given function between two points in the real line. Conventionally, areas above the horizontal axis of the plane are positive while areas below are negative. Integrals also refer to the concept of ...
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Numerical Integration
In analysis, numerical integration comprises a broad family of algorithms for calculating the numerical value of a definite integral, and by extension, the term is also sometimes used to describe the numerical solution of differential equations. This article focuses on calculation of definite integrals. The term numerical quadrature (often abbreviated to ''quadrature'') is more or less a synonym for ''numerical integration'', especially as applied to one-dimensional integrals. Some authors refer to numerical integration over more than one dimension as cubature; others take ''quadrature'' to include higher-dimensional integration. The basic problem in numerical integration is to compute an approximate solution to a definite integral :\int_a^b f(x) \, dx to a given degree of accuracy. If is a smooth function integrated over a small number of dimensions, and the domain of integration is bounded, there are many methods for approximating the integral to the desired precision. ...
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Racial Integration
Racial integration, or simply integration, includes desegregation (the process of ending systematic racial segregation). In addition to desegregation, integration includes goals such as leveling barriers to association, creating equal opportunity regardless of race, and the development of a culture that draws on diverse traditions, rather than merely bringing a racial minority into the majority culture. Desegregation is largely a legal matter, integration largely a social one. Distinguishing ''integration'' from ''desegregation'' Morris J. MacGregor, Jr. in his paper "Integration of the Armed Forces 1940–1969", writes concerning the words ''integration'' and ''desegregation'': In recent years many historians have come to distinguish between these like-sounding words... The movement toward desegregation, breaking down the nation's Jim Crow system, became increasingly popular in the decade after World War II. Integration, on the other hand, Professor Oscar Handlin mainta ...
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Economic Integration
Economic integration is the unification of economic policies between different states, through the partial or full abolition of tariff and non-tariff restrictions on trade. The trade-stimulation effects intended by means of economic integration are part of the contemporary economic Theory of the Second Best: where, in theory, the best option is free trade, with free competition and no trade barriers whatsoever. Free trade is treated as an idealistic option, and although realized within certain developed states, economic integration has been thought of as the "second best" option for global trade where barriers to full free trade exist. Economic integration is meant in turn to lead to lower prices for distributors and consumers with the goal of increasing the level of welfare, while leading to an increase of economic productivity of the states. Objective There are economic as well as political reasons why nations pursue economic integration. The economic rationale for th ...
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Data Integration
Data integration involves combining data residing in different sources and providing users with a unified view of them. This process becomes significant in a variety of situations, which include both commercial (such as when two similar companies need to merge their databases) and scientific (combining research results from different bioinformatics repositories, for example) domains. Data integration appears with increasing frequency as the volume (that is, big data) and the need to share existing data explodes. It has become the focus of extensive theoretical work, and numerous open problems remain unsolved. Data integration encourages collaboration between internal as well as external users. The data being integrated must be received from a heterogeneous database system and transformed to a single coherent data store that provides synchronous data across a network of files for clients. A common use of data integration is in data mining when analyzing and extracting informat ...
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Integration (tax)
Integration is a feature of tax systems that apply the same effective tax rate to income no matter whether it is taxed inside the corporation or given to shareholders to be taxed as personal income. Integration may be partial or complete. Complete integration would treat corporate income as flowing through to shareholders, while partial integration only treats some income—often from dividends—this way. Integration systems have been implemented, often in the form of a dividend tax credit, in many national tax systems. Forms Integration may be partial or complete. Complete integration occurs when a corporation functions, for tax purposes, as a flow-through entity: all income received by the corporation, whether retained by it or distributed to shareholders, would be treated as shareholders' income. In such a system, according to Sijbren Cnossen, all corporate tax would be treated like a prepayment of individual income tax for which shareholders would be credited on their pers ...
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Integration By Substitution
In calculus, integration by substitution, also known as ''u''-substitution, reverse chain rule or change of variables, is a method for evaluating integrals and antiderivatives. It is the counterpart to the chain rule for differentiation, and can loosely be thought of as using the chain rule "backwards". Substitution for a single variable Introduction Before stating the result rigorously, consider a simple case using indefinite integrals. Compute \textstyle\int(2x^3+1)^7(x^2)\,dx. Set u=2x^3+1. This means \textstyle\frac=6x^2, or in differential form, du=6x^2\,dx. Now :\int(2x^3 +1)^7(x^2)\,dx = \frac\int\underbrace_\underbrace_=\frac\int u^\,du=\frac\left(\fracu^\right)+C=\frac(2x^3+1)^+C, where C is an arbitrary constant of integration. This procedure is frequently used, but not all integrals are of a form that permits its use. In any event, the result should be verified by differentiating and comparing to the original integrand. :\frac\left frac(2x^3+1)^+C\r ...
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