**Integration**

Linear functionals first appeared in functional analysis, the study of vector spaces of functions. A typical example of a linear functional is integration: the linear transformation defined by the Riemann integral

is a linear functional from the vector space C of continuous functions on the interval to the real numbers. The linearity of *I*(ƒ) follows from the standard facts about the integral:

Read more about this topic: Linear Functional, Examples and Applications

### Other articles related to "integration":

... multinational business-to-business

**integration**company headquartered in Gaithersburg, Maryland, United States ... It is one of the world's largest

**integration**service providers ... Its core technology platform, GXS Trading Grid(r), is the world's largest

**integration**cloud, managing more than twelve billion transactions in 2011 ...

**Integration**

... outside of the geospatial domain, differences in the usage of the terms Data

**integration**and Data fusion apply ... In areas such as business intelligence, for example, data

**integration**is used to describe the combining of data, whereas data fusion is

**integration**followed by reduction or replacement ... Data

**integration**might be viewed as set combination wherein the larger set is retained, whereas fusion is a set reduction technique with improved confidence ...

**Integration**- Other Uses

...

**Integration**(festival)

**Integration**(Kultur Shock album), 2009

**Integration**(Kellee Maize album), 2011 ...

**Integration**

... Cloud

**integration**(the business of plumbing cloud computing components into the organisation) is a natural extension of Kainos's core systems

**integration**capability ... on and work with every combination of public and private clouds, and ensure secure

**integration**with legacy systems as appropriate ...

### Famous quotes containing the word integration:

“The more specific idea of evolution now reached is—a change from an indefinite, incoherent homogeneity to a definite, coherent heterogeneity, accompanying the dissipation of motion and *integration* of matter.”

—Herbert Spencer (1820–1903)

“The only phenomenon with which writing has always been concomitant is the creation of cities and empires, that is the *integration* of large numbers of individuals into a political system, and their grading into castes or classes.... It seems to have favored the exploitation of human beings rather than their enlightenment.”

—Claude Lévi-Strauss (b. 1908)

“Look back, to slavery, to suffrage, to *integration* and one thing is clear. Fashions in bigotry come and go. The right thing lasts.”

—Anna Quindlen (b. 1952)