Recovery

Recovery or Recover can refer to:

Military

Health

Ownership

Science and technology

Recovery (TV drama)

Recovery is a British television film, first broadcast on BBC One in 2007, starring David Tennant and Sarah Parish.

Summary

It deals with the life of Alan Hamilton (played by David Tennant), the former head of a construction firm, after he receives serious personality-changing brain injuries in a road accident, and the emotional feeling of his family. Tricia, his wife (played by Sarah Parish) struggles because the man she knew has gone. Throughout the programme she tries to bring him back through memories, photographs, her sons and herself.

Cast

Cast Notes

Recovery (Eminem album)

Recovery is the seventh studio album by American rapper Eminem. It was released on June 18, 2010, by Shady Records, Aftermath Entertainment and Interscope Records as the follow-up to Eminem's Relapse (2009). Originally planned to be released as Relapse 2, the album was renamed to Recovery when Eminem found the music of the new album different from its predecessor.

Production of the album took place during 2009 to 2010 at several recording studios and was handled by various record producers, including Alex da Kid, Just Blaze, Boi-1da, Jim Jonsin, DJ Khalil, Mr. Porter and Dr. Dre. Eminem also collaborated with artists such as Pink, Lil Wayne, and Rihanna for the album. Recovery featured more introspective and emotional content than its predecessor and the theme of the album revolved around his positive changes, anxiety, and emotional drives. To promote the album, he performed the album's songs live on televised shows, at awards ceremonies, musical events and also headed The Recovery Tour. It spawned four singles; "Not Afraid", "Love the Way You Lie", "No Love" and "Space Bound" with the former two both reaching number one on the Billboard Hot 100.

*-algebra

In mathematics, and more specifically in abstract algebra, a *-algebra (or involutive algebra) is a mathematical structure consisting of two involutive rings R and A, where R is commutative and A has the structure of an associative algebra over R. Involutive algebras generalize the idea of a number system equipped with conjugation, for example the complex numbers and complex conjugation, matrices over the complex numbers and conjugate transpose, and linear operators over a Hilbert space and Hermitian adjoints.

Terminology

*-ring

In mathematics, a *-ring is a ring with a map * : A → A that is an antiautomorphism and an involution.

More precisely, * is required to satisfy the following properties:

for all x, y in A.

This is also called an involutive ring, involutory ring, and ring with involution. Note that the third axiom is actually redundant, because the second and fourth axioms imply 1* is also a multiplicative identity, and identities are unique.

Algebra

Algebra (from Arabic "al-jabr" meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. As such, it includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. The more basic parts of algebra are called elementary algebra, the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians. Much early work in algebra, as the Arabic origin of its name suggests, was done in the Middle East, by mathematicians such as al-Khwārizmī (780 – 850) and Omar Khayyam (1048–1131).

Algebra over a field

In mathematics, an algebra is one of the fundamental algebraic structures used in abstract algebra. An algebra over a field is a vector space (a module over a field) equipped with a bilinear product. Thus, an algebra over a field is a set, together with operations of multiplication, addition, and scalar multiplication by elements of the underlying field, that satisfy the axioms implied by "vector space" and "bilinear".

The multiplication operation in an algebra may or may not be associative, leading to the notions of associative algebras and nonassociative algebras. Given an integer n, the ring of real square matrices of order n is an example of an associative algebra over the field of real numbers under matrix addition and matrix multiplication. Euclidean space with multiplication given by the vector cross product is an example of a nonassociative algebra over the field of real numbers.

An algebra is unital or unitary if it has an identity element with respect to the multiplication. The ring of real square matrices of order n forms a unital algebra since the identity matrix of order n is the identity element with respect to matrix multiplication. It is an example of a unital associative algebra, a (unital) ring that is also a vector space.