Glossary of chess

This page explains commonly used terms in chess in alphabetical order. Some of these have their own pages, like fork and pin. For a list of unorthodox chess pieces, see Fairy chess piece; for a list of terms specific to chess problems, see Glossary of chess problems; for a list of chess-related games, see Chess variants.

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G

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I

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O

P

[adjective: prophylactic] Prophylactic techniques include the blockade, overprotection, and the mysterious rook move.

Q

R

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U

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References

Bibliography

Space (mathematics)

In mathematics, a space is a set (sometimes called a universe) with some added structure.

Mathematical spaces often form a hierarchy, i.e., one space may inherit all the characteristics of a parent space. For instance, all inner product spaces are also normed vector spaces, because the inner product induces a norm on the inner product space such that:

where the norm is indicated by enclosing in double vertical lines, and the inner product is indicated enclosing in by angle brackets.

Modern mathematics treats "space" quite differently compared to classical mathematics.

History

Before the golden age of geometry

In the ancient mathematics, "space" was a geometric abstraction of the three-dimensional space observed in the everyday life. Axiomatic method had been the main research tool since Euclid (about 300 BC). The method of coordinates (analytic geometry) was adopted by René Descartes in 1637. At that time, geometric theorems were treated as an absolute objective truth knowable through intuition and reason, similar to objects of natural science; and axioms were treated as obvious implications of definitions.

Five-dimensional space

A five-dimensional space is a space with five dimensions. If interpreted physically, that is one more than the usual three spatial dimensions and the fourth dimension of time used in relativitistic physics. It is an abstraction which occurs frequently in mathematics, where it is a legitimate construct. In physics and mathematics, a sequence of N numbers can be understood to represent a location in an N-dimensional space. Whether or not the actual universe in which we live is five-dimensional is a topic of debate.

Physics

Much of the early work on five dimensional space was in an attempt to develop a theory that unifies the four fundamental forces in nature: strong and weak nuclear forces, gravity and electromagnetism. German mathematician Theodor Kaluza and Swedish physicist Oskar Klein independently developed the Kaluza–Klein theory in 1921, which used the fifth dimension to unify gravity with electromagnetic force. Although their approaches were later found to be at least partially inaccurate, the concept provided a basis for further research over the past century.

Solar

Solar may refer to:

Astronomy

Other uses

Solar (Taeyang album)

Solar is the first full-length solo album by Korean singer Taeyang, member of Big Bang. The album was released in two forms: the "Regular Edition" and the "Deluxe Edition" which is limited to 30,000 copies worldwide. The lead-single was "I Need a Girl" featuring his bandmate G-Dragon. On July 9, 2010, Taeyang's solo album Solar hit second place on iTunes' Top R&B-Soul albums chart in the United States and first place in Canada, the first time for an Asian musician. In Solar, Taeyang put much effort into enhancing his vocal skills as well as his composing, co-writing as many as four songs ("Solar", "Where U At", "Wedding Dress", and "Take It Slow") and writing lyrics for "Take It Slow".

Taeyang's first international album, Solar International, is the first ever K-Pop music release to be sold worldwide on iTunes as both an audio and video album. The audio version (complete with a digital booklet) hit iTunes stores on August 19, 2010, while the video version (bundled with bonus, behind the scenes documentaries) arrived by September 10, 2010. The audio album combines both English and Korean hits from his past and present albums including "I'll Be There", "Connection" (feat. BIG TONE), "Wedding Dress" and "I Need a Girl (feat. G-Dragon)". On August 26, 2010, Solar's International album made it to fifth place on iTunes' Top R&B-Soul albums chart in the United States and Japan, and third place in Canada.

SOLAR (ISS)

SOLAR is an ESA science observatory on the Columbus Laboratory, which is part of the International Space Station. SOLAR was launched with Columbus on February 2008 aboard STS-122. It was externally mounted to Columbus with the European Technology Exposure Facility (EuTEF). SOLAR has three main space science instruments: SOVIM, SOLSPEC and SOL-ACES. Together they provide detailed measurements of the Sun's spectral irradiance. The SOLAR platform and its instruments are controlled from the Belgian User Support and Operations Centre (B.USOC), located at the Belgian Institute for Space Aeronomy (BISA) in Uccle, Belgium.

Wolves (Idiot Pilot album)

Wolves is the second full length release album by Washington duo Idiot Pilot. It was produced by Ross Robinson(At The Drive-In, Glassjaw) and Mark Hoppus (singer and bassist of +44 and Blink 182). The third track, "Retina and the Sky" was also featured on the soundtrack of Michael Bay's film Transformers. The album had a delayed release, first digitally on August 20, 2007 and physically October 2, 2007. Wolves features guest performers Travis Barker on drums in "Elephant" and Chris Pennie on drums in the rest of the tracks.

On October 2, 2007 the only way to purchase a copy of Wolves was either through the band's official website or digitally on iTunes. The disc was available at stores starting February 12, 2008.

Background

Based out of Bellingham, WA, since the age of 12 Michael Harris and Daniel Anderson of Idiot Pilot have been producing and composing music. With the release of Strange We Should Meet Here back in 2004 with Clickpop Records, and then a re-release in 2005 with reprise record; fans have been waiting for the release of their latest album Wolves. With renowned producer Ross Robinson (At The Drive-In, Glassjaw) and Mark Hoppus(singer and bassist of +44 and Blink 182), Idiot Pilot spent four months in the studio recording Wolves.