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Gary Naysmith

Gary Andrew Naysmith (born 16 November 1978) is a Scottish football coach and former player, who is currently the manager of Scottish League One side Stenhousemuir.

Naysmith, who played as a left-back or left-winger, started his senior career with Hearts. Naysmith moved to England to sign with Premier League club Everton, where he stayed for seven seasons. Naysmith was capped 46 times by the Scotland national team between 2000 and 2009. After spells with Sheffield United and Huddersfield Town, Naysmith returned to Scotland with Aberdeen.

In the summer of 2013, Naysmith signed with part-time club East Fife, and was then appointed as player-manager in December. He managed Championship club Queen of the South from December 2016 to May 2019. He was appointed manager of Edinburgh City in March 2021, but was sacked a year later. Naysmith became Stenhousemuir manager in January 2023 and led them to promotion in the 2023/24 season.

Heart of Midlothian
Naysmith started his senior career with Hearts, whom he joined from local side Whitehill's Colts team. Naysmith made his professional debut, aged only 17, several months later in a League Cup tie with Celtic. His opportunity arose from a suspension crisis, the Maroons having no fewer than four defenders (Bruno, Weir, Ritchie and Pointon) sent off in their previous match at Rangers. Despite the patchwork nature of their defence, Hearts defeated Celtic 1–0, with Naysmith earning plaudits for his mature display. Within a year he had established himself as the side's first-choice left back, displacing Neil Pointon, and in 1998 helped the Tynecastle club end their 36-year trophy drought by lifting the Scottish Cup. That season he was also named Scottish PFA Young Player of the Year.

A transitional season followed as the loss of Weir, McCann (both transferred) and Colin Cameron (injured) destabilised the side. Naysmith himself had to adapt to a change in the levels of expectation placed upon him, no longer allowed the defence of youthful naïveté. By the 1999–2000 season he had rediscovered his confidence and was being touted for an international call-up. A particular highlight of that season was his display in a 3–2 defeat of Celtic at Parkhead in February 2000. Hearts had trailed 2–0 before battling back to victory, with Naysmith striking a spectacular equalising goal.

As one of Hearts' most valuable assets, Naysmith was also the subject of transfer speculation. Financial concerns at the club heightened these and in October 2000 it appeared that Naysmith was bound for the West Midlands when Coventry City bid for him. However, their offer was bettered by Everton at the eleventh hour, and Naysmith moved to Merseyside instead, in a £1.7 million deal.

Everton
Naysmith first became a regular under Walter Smith and then remained under his successor David Moyes. His early performances led to Everton fans nicknaming "El Blanco Carlos", after the Brazilian left-back Roberto Carlos. He made 152 appearances for Everton, scoring six goals, although his Everton career was disrupted by injury. In December 2002 he was the victim of a "blood curdling, x-rated" tackle by Liverpool's Steven Gerrard. A long term ankle injury in 2005 meant that Naysmith lost his first-team place at Everton to Alessandro Pistone in the 2004–05 season, and in the 2005–06 season Portuguese international Nuno Valente claimed the left back slot at Goodison Park.

Naysmith recovered from ankle surgery in time for the start of the 2006–07 season and an injury to Valente in the season's opening game saw him restored to the starting eleven. He kept his place after Valente returned to fitness, however it was not long before injury befell him again, a medial ligament strain in the game against Newcastle United on 24 September 2006 keeping him out for two months.

At the end of the 2004–05 season, he signed a new three-year contract with the Blues. On 5 May 2007, Naysmith scored the third goal in a 3–0 victory over Portsmouth The win practically guaranteed that Everton would be playing in Europe during the 2007–08 season. Naysmith made over 130 Premier League appearances for the Toffees before leaving the club to join Championship side Sheffield United for £1 million in July 2007 as part of an exchange deal with Phil Jagielka.

Sheffield United
As part of the deal that took Phil Jagielka to Goodison Park, Naysmith was given permission to speak to Sheffield United to discuss a possible move. He was signed by The Blades and agreed a three-year deal at Bramall Lane, thus ending a six-and-half-year stay with Everton.

Naysmith made his first team début in the opening game of the 2007–08 season in a 2–2 home draw with Colchester United and quickly cemented his place in the side becoming the first choice at left back throughout the rest of the season. Naysmith started 42 games in his first season, 38 of them in the league.

Naysmith started the 2008–09 season as first choice left back, playing 43 games until he suffered serious cruciate ligament damage which ruled him out for the final weeks of the season, thus missing the club's unsuccessful play-off campaign. He made his first start of the season on the opening day in United's 1–0 loss at Birmingham City. Naysmith started 37 league games and made a further two appearances from the bench.

Due to an injury suffered towards the end of the 2008–09 season, Naysmith missed the majority of the 2009–10 season. He returned to the side in December 2009 and was listed as an unused substitute three times before making a successful return to the side for the last two games of the season, the first in The Blades 2–0 win over Swansea City, the second in their final day 3–0 win over Ipswich Town.

Huddersfield Town
Naysmith rejected a new deal at Bramall Lane, opting to sign a two-year deal with Yorkshire neighbours Huddersfield Town on 4 June 2010 on a free transfer. Naysmith revealed that he turned down offers from Premier League clubs where he would have had the chance to be a squad player to move to the Galpharm Stadium.

On 7 August 2010, Naysmith debuted for the Terriers in the 3–0 win versus Notts County at Meadow Lane. On 14 August 2010, Naysmith was then sent-off in his home debut for the Terriers versus Tranmere Rovers, as the match ended in a 0–0 draw. On 25 August 2010, Naysmith then suffered a toe injury in a League Cup second round 5–1 away defeat at his former club Everton, which caused him to miss the next five months of the season, as he eventually returned to play in a 2–0 home win versus Carlisle United in the league.

Naysmith departed the club in June 2012 after not being offered a new contract by the Terriers manager, Simon Grayson.

Aberdeen
Naysmith returned to Scotland to train with Aberdeen in July 2012, joining the club on a pre-season tour of Germany. After a successful trial and impressing in games against Werder Bremen and FC St. Pauli, Naysmith signed a one-year deal on 1 August, but expressed a desire to earn an extension beyond the summer. On the opening day of the 2012–13 season, Aberdeen faced SPL champions Celtic. Naysmith was named in the starting team that narrowly lost out 1–0 at Celtic Park. It was announced on 13 May 2013 that Naysmith's contract along with another six players would not be extended.

International
Naysmith represented Scotland at under-21, B and full international levels. He made his full Scotland debut in May 2000, in a 2–1 victory over the Republic of Ireland in Dublin, and earned 46 caps up to 2009. His only international goal arrived in 2002, during a UEFA Euro 2004 qualification game versus Iceland; he scored the second goal in a 2–0 win, with a right-footed volley from the edge of the penalty area.

Naysmith also represented Scotland B on one occasion on 20 May 2003, in a 2–1 home win versus Northern Ireland B.

East Fife
On 31 October 2013 Naysmith agreed to stay with League One East Fife until the end of the season in a player-assistant manager role. When manager Willie Aitchison left the club on 28 November, Naysmith was made caretaker manager, and was subsequently appointed as manager on a permanent basis on 18 December.

On 1 December 2016 and after three and a half seasons as player-manager of part-time club East Fife, Naysmith signed for Scottish Championship club Queen of the South as their new manager to go full-time in Dumfries.

Naysmith's intention was to finish his playing career and his time as the Methil club's player-manager by taking charge of the club's Scottish Cup replay against Edinburgh City on 5 December 2016. However, as the match was postponed until 7 December 2016, Naysmith departed East Fife earlier than planned to be in charge of Queens' league match versus St Mirren on 6 December 2016 instead.

Queen of the South
Naysmith signed a contract with Scottish Championship club Queen of the South on 1 December 2016. After becoming team manager in the following week, Naysmith decided to end his playing career.

Naysmith was named Scottish Championship Manager of the Month for January 2019. On 4 May 2019, after the Doonhamers were defeated 3–0 at home versus Partick Thistle and finished in the relegation play-off place in the Scottish Championship, Naysmith parted company with the Dumfries club.

In August 2019, Naysmith returned to Hearts in a newly created role of managing players loaned out to other clubs.

Edinburgh City
Naysmith was appointed manager of Scottish League Two club Edinburgh City in March 2021. He was sacked in March 2022, with the team sitting in 4th place of the 2021–22 Scottish League Two table.

Stenhousemuir
On 3 January 2023, Naysmith was named as the new manager of Scottish League Two side Stenhousemuir.

International
International goals
 * Scores and results list Scotland's goal tally first.

Managerial record
As of match played 16 July 2024

 * Edinburgh City statistics include forfeit win over Falkirk in the Scottish League Cup on 21 July 2021.
 * Initially caretaker of East Fife and appointed permanently on 18 December 2013.

Player
Heart of Midlothian
 * Scottish Cup: 1997–98

Huddersfield Town
 * Football League One play-offs: 2012

East Fife
 * Scottish League Two: 2015–16

Scotland
 * Kirin Cup: 2006

Manager
East Fife
 * Scottish League Two: 2015–16

Stenhousemuir
 * Scottish League Two: 2023–24

title: Gary Naysmith


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Lake Revelstoke

Lake Revelstoke or Revelstoke Lake or Revelstoke Lake Reservoir is an artificial lake on the Columbia River, north of the town of Revelstoke, British Columbia and south of Mica Creek. This lake is the reservoir formed by the Revelstoke Dam, which during its construction was also known as the Revelstoke Canyon Dam, inundating the Columbia's canyon in this area and the historic Dalles des Morts (Death Rapids) and some of the former gold diggings of the Big Bend Gold Rush. The dam's site is at what had been the head of river navigation by steamboat from Northport, Washington via the Arrow Lakes.

The lakes extends 130 km upstream to the tailrace of Mica Dam. Three-quarters of the flow through the Revelstoke Dam Powerhouse is regulated water release from Mica Dam, with the result that the reservoir regularly fluctuates by up to 4.5 m.

license: Creative Commons - Attribution Share-Alike - https://creativecommons.org/licenses/by-sa/4.0/

title: Lake Revelstoke


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Pál Kovács

Pál Kovács (17 July 1912 – 8 July 1995) was a Hungarian athlete, who began as a hurdler, but eventually switched to fencing.

By the time Kovács won his first fencing gold, in 1936, he had already been a member of the winning Hungarian team at the 1933 World Championships. The Hungarians won team sabre gold in five successive Olympics, lasting from 1936 until 1960. The same team won gold eight back-to-back world championships (including the two Olympics, which double as world championships in their respective years). Kovács also won individual gold in 1952, as well as individual bronze in 1948. In 1980, he became vice-president of the Fédération Internationale d'Escrime. He died in Budapest in July 1995.

title: Pál Kovács


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Æthelwold

Æthelwold was a common Anglo Saxon name. It may refer to:

Royalty and nobility

 * King Æthelwold of Deira, King of Deira, d. 655
 * King Æthelwold of East Anglia, King of East Anglia, d. 664
 * King Æthelwold Moll of Northumbria, King of Northumbria, d. post-765
 * Æthelwold ætheling, son of King Æthelred of Wessex, d. 902
 * Æthelwald, Ealdorman of East Anglia, son of Æthelstan Half-King, d. 962

Saints

 * Saint Æthelwold (hermit), hermit on Inner Farne, d. 699; feast kept 23 March
 * Saint Æthelwold (bishop of Lindisfarne), Abbot of Melrose and Bishop of Lindisfarne, d. 740; feast kept 12 February
 * Saint Æthelwold of Winchester, Bishop of Winchester, d. 984; feast kept 1 August

Other clerics

 * Æthelweald, Bishop of Dunwich, mid-9th century
 * Æthelwold (bishop of Lichfield), Bishop of Lichfield, d. 845
 * Æthelwold (bishop of Dorchester), Bishop of Dorchester, d. 950
 * Æthelwold II (bishop of Winchester), Bishop of Winchester, d. 1012
 * Æthelwold (bishop of Carlisle), Bishop of Carlisle, d. 1157

title: Æthelwold


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Friedrich Christoph Förster

Friedrich Christoph Förster (24 September 1791 in Münchengosserstädt on the Saale – 8 November 1868 in Berlin) was a German historian and poet.

Biography
He was the second son of Karl Christoph Förster (1751-1811), and consequently an older brother of the painter Ernst Joachim Förster (1800-1885). He received his early education at Altenburg, and after a course of theology at Jena, devoted some time to archaeology and the history of art.

At the outbreak of the War of Liberation against Napoleon in 1813, he joined the Lützow Free Corps with Theodor Körner, quickly attaining the rank of captain. Like Körner, he wrote spirited war songs, which added to the national enthusiasm. On the conclusion of the war, he was appointed professor at the school of engineering and artillery in Berlin, but on account of some democratic writings he was dismissed from this office in 1817. He then became connected with various journals until about 1829, when he received an appointment at the royal museum in Berlin, with the title of court councillor (Hofrat). He was the founder and secretary of the Wissenschaftlicher Kunstverein in Berlin.

Works
Förster's principal works are:
 * Beiträge zur neueren Kriegsgeschichte ("Contributions to the history of modern wars," Berlin, 1816)
 * Grundzüge der Geschichte des preussischen Staates ("Essentials of Prussian history," Berlin, 1818)
 * Der Feldmarschall Blücher und seine Umgebungen ("Field marshal Blücher and his surroundings," Leipzig, 1820)
 * Friedrich der Grosse, Jugendjahre, Bildung und Geist ("Frederick the Great: Youth, Education and Intellect," Berlin, 1822)
 * Albrecht von Wallenstein (Potsdam, 1834)
 * Friedrick Wilhelm I, König von Preussen (Potsdam, 1834-1835)
 * Die Höfe und Kabinette Europas im 18. Jahrhundert ("The courts and ministries of Europe in the 18th century," Potsdam, 1836-1839)
 * Leben und Taten Friedrichs des Grossen ("Life and deeds of Frederick the Great," Meissen, 1840-1841)
 * Wallensteins Prozess (Leipzig, 1844)
 * Preussens Helden in Krieg und Frieden, neuere und neueste preussische Geschichte ("Prussia's heroes in war and peace, late and modern Prussian history," 7 vols., Berlin, 1849-1860). This is a history of Prussia from 1640-1815. The three concluding volumes of this work contain the history of the war of liberation of 1813-1815. This worked provoked severe criticism.

He brought out an edition of Hegel's works, adapted several of Shakespeare's plays for the theatre, wrote a number of poems and an historical drama, Gustav Adolf (Berlin, 1832).

Many of his lesser writings were collected and published as Kriegslieder, Romanzen, Erzählungen und Legenden ("War songs, romances, stories and legends," Berlin, 1838). The beginning of an autobiography of Förster, edited by H. Kletke, has been published under the title, Kunst und Leben ("Art and Life," Berlin, 1873).

title: Friedrich Christoph Förster


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Eadberht

Eadberht is an Anglo-Saxon male name. It may refer to:

 * Eadberht of Lincoln
 * Eadberht of Lindisfarne
 * Eadberht of Northumbria
 * Eadberht of Selsey
 * Eadbert I of Kent
 * Eadberht II of Kent
 * Eadberht III Præn of Kent
 * Eadberht (Bishop of London)
 * Eadberht of Lichfield

title: Eadberht


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Brian Helicopter

Brian Helicopter is the stage name of Gareth Holder (born 27 June 1958, Leamington Spa), an English musician, based in the United States. He is best known for playing bass guitar for the UK punk rock band The Shapes. He also played for many other bands, the most notable being the NWOBHM bands Rogue Male and HellsBelles. For a short time in the early 1980s, he was also a member of British R&B band The Mosquitos, with guitarist Steve Walwyn of Dr. Feelgood and Eddie and the Hot Rods, and can be seen on the cover of The Mosquitos only single "Somethin' Outta Nothin'". A prolific session player, he appears both credited and uncredited on many releases throughout the 1980s and early 1990s under both his real and stage name. He was one of the first bassists in the nascent UK punk scene to adopt the Rickenbacker bass guitar which he still uses to this day. He was also one of the first bass guitarists in the world to use Trace Elliot amplification. His bass playing style is characterized by a very fast precise pick attack, and fast runs. Unusually for a bass guitarist, he sometimes utilizes an overhand tapping technique more common to six string players. He continues to play professionally, reverting between his real name and his stage name as the fancy takes him. He is also a professional skydiving coach and instructor, currently holding seven world records in the sport. He can be seen in an episode of MythBusters aired on the Discovery Channel taking presenter Kari Byron skydiving whilst testing the falling airplane blue ice myth. He is also a vegetarian. He can be seen in the independent film Six Sex Scenes and a Murder, in the role of the bounty hunter. He currently resides in California, where he plays bass for the San Francisco Bay Area band Ghosthookers. Ghosthookers released a record in 2008 which features Brian Helicopter on bass under his real name.

In late 2008, he rejoined the original line-up of The Shapes for short tour of the UK to commemorate the 30th anniversary of the band, culminating in dates with The Damned in London, and once again in 2014 for the "You'll Do Yourself a Mischief" tour of the UK, to support the re-release of the Shapes's first two singles, and the re-release of the album on 12 inch vinyl, called "More Songs for Sensible People"

In 2016, he once more joined The Shapes for the "We're Not Very Famous" tour of the UK, and to record new material, and in 2017 undertook tours of Japan and the UK with them.

Gear
Brian Helicopter uses Rickenbacker 4000 series basses exclusively. All of his basses are set up slightly differently so as to achieve different sounds live or in the studio. His main stage bass is a 1975 4001 model finished in jetglo. This model has been customized with checkerboard binding and a half inched spaced classic reissue toaster pickup in the neck position. His other basses are a 1979 fireglo 4001 which is customized with a one-inch spaced custom Sergio Silva hand wound toaster in the neck position and a Rickenbacker reissue horseshoe pickup in the bridge position. With the Ghosthookers, his main stage bass is a rare hand carved 4004LK bass, the Lemmy of Motörhead limited edition model. Less than 60 of these were produced, his personal bass is number 26 in that series. He also uses two mono basses, a highly customized azureglo 4001S with Rickenbacker reissue toaster and horseshoe pickups, and a 4001CS Chris Squire of Yes limited edition bass. He has number 270 in that series of 1000 produced. He also occasionally uses a lightly modified custom 4008 eight string bass. He also uses a 1995 mapleglo 4003 fretless bass, a 1973 jetglo 4001, and a single pickup 1972 4000 series bass.

His amplification is by Trace Elliot. Currently he uses a GP12SMX dual compressor preamp with AH250 power stage, and a GP7 preamp with AH350 power stage. This gives him the option to run his 4001 series basses in stereo live and to EQ each pickup separately. He runs the amps through two 1048 dual ported 4x10 cabinets with high frequency horns, and two dual ported 1015 1x15 cabinets.

title: Brian Helicopter


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Orani (disambiguation)

Orani is a municipality in the Philippines.

Orani may also refer to:
 * Orani, Sardinia, a municipality in Italy
 * Orani, Ukraine, a village in Volodymyr-Volynskyi Raion, Volyn Oblast, Ukraine
 * ORANI, an economics model by Peter Dixon

title: Orani (disambiguation)


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Zvi Griliches

Hirsh Zvi Griliches (12 September 1930 – 4 November 1999) was an economist at Harvard University. The works by Zvi Griliches mostly concerned the economics of technological change, including empirical studies of diffusion of innovations and the role of R & D, patents, and education. In 2023 he had 126 publication listed in Web of Science and a Hirsch index of 49, which places him into 2% of most productive economics professors in the USA.

Biography
He was born in Kaunas, Lithuania in an assimilated Jewish family that spoke Russian at home. During World War II he was sent to the Dachau concentration camp. In 1947 he emigrated to Palestine, where he served in the pre-state Israeli army, learned Hebrew, passed high school equivalence exam, and studied for a year at Hebrew University. He then moved to the United States, where he earned a B.S. in Agricultural Economics from the University of California, Berkeley, and then a Ph.D. in economics at the University of Chicago, supervised by Theodore Schultz.

In his classic 1957 Ph.D. dissertation, Hybrid Corn: An Exploration in the Economics of Technological Change, published as an article in the October 1957 issue of Econometrica, Griliches demonstrated that the penetration of corn seeds followed the logistic curve. It was found later through multiple examples by Edwin Mansfield and other researchers that this is a general rule for technological change / diffusion of innovations. The dissertation was one of the first scientific works that treated the development of new technology as an economic phenomenon. Previously, economists had treated it as exogenous.

Most innovations either make production more efficient, or improve the quality of goods. The analysis of measurement of the impact of innovations on economics led Griliches to his fundamental studies of economic growth, productivity, production function, consumption function, measurements of economic input and output, hedonic prices, and their reflection in price indices.

Griliches also published important works of econometrics, including distributed lags (time series) and aggregation. He was particularly interested in the measurements of hidden variables.

Griliches served as the President of the Econometric Society in 1975, and as the President of the American Economic Association in 1993. From 1969 to 1977 he was one of editors of the journal Econometrica. He served on the Stigler Commission in 1961 and the Boskin Commission in 1996, both of which were convened by the United States Senate to evaluate the measurement of inflation.

In 1965, Zvi Griliches won the prestigious John Bates Clark Medal. He was elected to the American Academy of Arts and Sciences in 1965 and to the National Academy of Sciences in 1975. He was also elected Distinguished Fellow of the American Economic Association, Fellow of the Econometric Society, Fellow of the American Statistical Association, Fellow of the American Association for the Advancement of Science, and Fellow of the American Agricultural Economics Association. He died on November 4, 1999, in Cambridge, Massachusetts.

Memorials and tributes
The Zvi Griliches Research Data Center was established in his memory at the Samuel Neaman Institute for Advanced Studies in Science and Technology in Israel. The Zvi Griliches Excellence Award was established by the Economics Education and Research Consortium (EERC) in Russia and other former Soviet Union countries.

The Zvi Griliches Research Seminar in the Economics of Innovation was held by the Barcelona Graduate School of Economics to promote interactions between academic researchers, innovation policy practitioners, statistical office analysts and PhD students with a general interest in analyzing technological innovation from an economic point of view.

In 2001, in the memory of Zvi Griliches, the International Advisory Board of the New Economic School, with the full approval of the entire NES community, decided to establish an annual series of lectures in economics. "The Zvi Griliches Memorial Lectures" are presented by leading scholars and open for everyone.

title: Zvi Griliches


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Stephen Pearson

Stephen Paul Pearson (born 2 October 1982) is a Scottish former professional footballer who played as a midfielder.

He began his career at Motherwell and joined Celtic in 2004, where he won domestic honours including two Scottish Premier League titles. In January 2007 he moved to Derby County, whom he helped achieve promotion to the Premier League, later having loans at Stoke City and Bristol City, whom he joined permanently in 2012. After featuring for the Kerala Blasters in the inaugural season of the Indian Super League, Pearson returned to Motherwell in 2015 before mutually terminating his contract a year later to return to India with Atlético de Kolkata. He signed for Motherwell for a third time in February 2017.

Pearson earned ten caps for Scotland between 2003 and 2007.

Early career
Pearson was born in Lanark. As a boy, he attended Our Lady's High School in Motherwell and is one of the school's numerous footballing alumni, a list whose notable members include Sir Matt Busby, Billy McNeill, and Bobby Murdoch. Though he grew up a Celtic fan, he began his footballing career at Motherwell, after they watched him score the winning goal in the final of the under-18 Scottish Schools competition.

Motherwell were a financially troubled club at this time and in 2002 they were placed in administration to prevent liquidation, with 19 senior players released. This period of adversity did however have one redeeming feature, as many talented young players, notably Pearson and his friend and fellow emerging talent James McFadden, gained instant elevation to first team status and a chance to develop and hone their skills more quickly than contemporaries at other clubs.

After a period of acclimatisation under new manager Terry Butcher during which Motherwell finished bottom of the SPL in the 2002–03 season, avoiding relegation only because Falkirk's Brockville Park ground failed to reach SPL standard, by December 2003 the youthful Motherwell team were comfortably in mid-table. Pearson's form was such that he gained a surprise call-up to Berti Vogts' full Scotland squad, winning his first cap in the 1–0 Euro 2004 play-off victory over the Netherlands, and attracted interest from clubs at home and abroad.

Celtic
However, Motherwell's financial predicament ensured they were unable to refuse any reasonable offers and when Celtic manager Martin O'Neill paid £350,000 of his own personal money in January 2004, Pearson fulfilled a childhood ambition by moving to Parkhead. He continued his fine form, notably in Celtic's epic UEFA Cup defeat of FC Barcelona, was in the starting eleven in the Cup Final and won the Scottish PFA Young Player of the Year award for the 2003–04 season.

Pearson was unable to match these achievements in 2004–05. He increased his international tally to six caps, but his first team opportunities were limited by injury, and he played just nine games for Celtic that season. The 2005–06 season saw little improvement as he made only three starting appearances in a relatively injury-hit season. In January 2006 he held talks with manager Gordon Strachan, who reassured him as to his future with the club. Pearson did however make 17 substitute appearances and scored a crucial goal against Hearts at Tynecastle as Celtic came from behind to win 3–2.

Though Pearson had been involved in two Scottish Premier League-winning campaigns with Celtic, he struggled to hold down a regular place. English Championship side Derby County, managed by his former Motherwell manager Billy Davies, made a bid of £600,000 in August 2006, but Strachan said he was not for sale. The departure of Stiliyan Petrov to Aston Villa gave Pearson an opportunity to regain a place in the Celtic midfield and, despite rumours of a move away from Celtic Park, he went on to score the third goal against Benfica in the group stages of the 2006–07 Champions League, to take the score to 3–0. He described this goal as "the moment of my career".

Derby County
Pearson eventually signed a three-and-a-half-year deal for Derby on 10 January 2007 for a fee of £750,000. and made his debut in a 1–0 win against Sheffield Wednesday, which put Derby level on points at the top of the division. A latter season drop in form saw the club finish in third place and having to compete in the playoffs. Pearson played a key role in Derby's success, winning a penalty in a 2–1 win over Southampton in the semi-final first leg and then scoring the winning goal, his first for the club, as Derby ran out 1–0 winners over West Bromwich Albion in the 2007 Championship playoff final. Pearson's strike has been described as "the £60 million goal", such is the perceived value of promotion from the Championship to the Premier League.

Derby struggled badly following promotion and, after a promising beginning to the season Pearson soon found himself out of the side. He was loaned out to Stoke City for three months at the end of the season but only made four appearances, though he did contribute to the club's promotion, his second in twelve months. Though the move was initially with a view to a permanent deal, Stoke decided not to follow up their interest and he returned to Derby. In July 2008, Birmingham City had a £600,000 bid accepted and Pearson agreed personal terms, but his medical examination revealed a groin tear; the clubs agreed a loan deal instead, but the player rejected this arrangement. When Pearson recovered, he won his place back in the side and scored against Swansea City in a 1–1 away draw, but after a handful of starts suffered another injury which kept him out for 4 months. Pearson made his return from injury in the final minutes of Derby's FA Cup 5th round tie against Manchester United on 15 February 2009, but suffered setbacks on his road to recovery, finally starting again for the club against Burnley on 4 April 2009. and appearing in a further five games before the season ended, finishing the season with just 13 appearances in all competitions. Pearson enjoyed a more productive 2009–10 season with the club, making 34 starts and making a further 8 appearances as sub and impressed enough to earn a new contract until the end of the 2011–12 season from Derby manager Nigel Clough. He got his third Derby goal, and his first for 18 months, with the consolation strike in a 2–1 defeat at Bristol City in the penultimate game of Derby's 2009–10 campaign before a knee operation ruled him out for the next four months, meaning he would miss pre-season and the first four to six weeks of the 2010–11 season.

Pearson returned to first team action as a second-half substitute in a 1–1 draw at Barnsley on 18 September 2010; Derby's seventh game of the 2010–11 season.

Bristol City
On 4 November 2011, Pearson joined Championship strugglers Bristol City on loan until 2 January 2012. He scored the opening goal on his debut against Burnley on 5 November 2011, a game which Bristol City won 3–1. Pearson impressed Bristol City manager Derek McInnes during his loan spell, with Rams manager Nigel Clough confirming talks between the two clubs over a potential permanent move in the January transfer window. On 6 January 2012, Pearson's contract at Derby was terminated by mutual consent and on the same day Pearson signed for Bristol City on a contract until the end of the 2011–12 season. On 7 June 2012, Bristol City confirmed that Pearson had signed a two-year deal at the club. On 19 September 2013, it was announced that Pearson had undergone ankle surgery, keeping him out for six months. At the end of the 2013–14 season, Pearson was released by Bristol City.

Kerala Blasters
Pearson joined Indian Super League side Kerala Blasters for the 2014 season. On 16 December 2014, he scored his first goal for the club in the 117th minute of second leg of the play-off semifinals against Chennaiyin FC with a neat finish with his left foot, which turned out to be the winner.

Return to Motherwell
On 19 January 2015, Pearson returned to Motherwell for a second spell, signing until the end of the 2014–15 season. He made his second debut for the club on 21 January 2015, in a 4–0 defeat against his former club Celtic. On 3 April 2015, Pearson signed a new two-year contract with Motherwell, keeping him at the club until 2017. He scored the first goal of his second spell at the club on 4 April 2015, in a 2–1 win away to Kilmarnock.

Atlético de Kolkata
On 29 June 2016, Motherwell confirmed that they and Pearson had come to a mutual agreement to allow Pearson's contract to be terminated in order for the midfielder to join Indian Super League side Atlético de Kolkata.

Motherwell (third spell)
On 2 February 2017, Pearson signed for Motherwell for a third time, agreeing a contract until the end of the 2016–17 season. He was released by the club in May 2017, at the end of his contract.

International career
Pearson made his international debut for Scotland on 15 November 2003, replacing Neil McCann for the final 20 minutes of a 1–0 first leg win over the Netherlands at Hampden Park in the play-off for UEFA Euro 2004; he did not feature in the second leg, which saw the Dutch qualify. He made one appearance in Scotland's 2006 FIFA World Cup qualification campaign, as a 63rd-minute substitute for Richard Hughes in a 1–0 home defeat to Norway on 9 October 2004. Pearson earned ten caps in all for Scotland, his last being on 17 October 2007 in a 2–0 away defeat to Georgia in UEFA Euro 2008 qualifying, playing the first 66 minutes before being replaced by Kris Boyd.

Club

 * A. The "Other" column constitutes appearances and goals in the Football League play-offs, SPFL Play-offs and Indian Super League finals

Honours
Celtic
 * Scottish Premier League: 2003–04, 2005–06
 * Scottish Cup: 2003–04, 2004–05
 * Scottish League Cup: 2005–06

Atletico de Kolkata
 * Indian Super League: 2016

Derby County
 * Football League Championship play-offs : 2006–07

title: Stephen Pearson


text:
Generalized arithmetic progression

In mathematics, a generalized arithmetic progression (or multiple arithmetic progression) is a generalization of an arithmetic progression equipped with multiple common differences – whereas an arithmetic progression is generated by a single common difference, a generalized arithmetic progression can be generated by multiple common differences. For example, the sequence $$17, 20, 22, 23, 25, 26, 27, 28, 29, \dots$$ is not an arithmetic progression, but is instead generated by starting with 17 and adding either 3 or 5, thus allowing multiple common differences to generate it. A semilinear set generalizes this idea to multiple dimensions -- it is a set of vectors of integers, rather than a set of integers.

Finite generalized arithmetic progression
A finite generalized arithmetic progression, or sometimes just generalized arithmetic progression (GAP), of dimension d is defined to be a set of the form
 * $$\{ x_0 + \ell_1x_1 + \cdots + \ell_dx_d : 0 \le \ell_1< L_1, \ldots, 0 \le \ell_d < L_d \}$$

where $$x_0,x_1,\dots,x_d,L_1,\dots,L_d\in\mathbb{Z}$$. The product $$L_1L_2\cdots L_d$$ is called the size of the generalized arithmetic progression; the cardinality of the set can differ from the size if some elements of the set have multiple representations. If the cardinality equals the size, the progression is called proper. Generalized arithmetic progressions can be thought of as a projection of a higher dimensional grid into $$\mathbb{Z}$$. This projection is injective if and only if the generalized arithmetic progression is proper.

Semilinear sets
Formally, an arithmetic progression of $$\mathbb{N}^d$$ is an infinite sequence of the form $$\mathbf{v},\mathbf{v} + \mathbf{v}',\mathbf{v} + 2\mathbf{v}',\mathbf{v} + 3\mathbf{v}',\ldots$$, where $$\mathbf{v}$$ and $$\mathbf{v}'$$ are fixed vectors in $$\mathbb{N}^d$$, called the initial vector and common difference respectively. A subset of $$\mathbb{N}^d$$ is said to be linear if it is of the form
 * $$\left\{\mathbf{v} + \sum_{i=1}^m k_i\mathbf{v}_i \,\colon\, k_1,\dots,k_m\in \mathbb{N}\right\},$$

where $$m$$ is some integer and $$\mathbf{v},\mathbf{v}_1,\dots,\mathbf{v}_m$$ are fixed vectors in $$\mathbb{N}^d$$. A subset of $$\mathbb{N}^d$$ is said to be semilinear if it is a finite union of linear sets.

The semilinear sets are exactly the sets definable in Presburger arithmetic.

title: Generalized arithmetic progression


text:
User talk:Chapindwight

Welcome!
Hello, Chapindwight, and welcome to Wikipedia! Thanks for your contributions; I hope you like it here and decide to stay. We're glad to have you in our community! Here are a few good links for newcomers:

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Happy editing!

-- Sango  123  16:06, July 15, 2005 (UTC)

P.S. Feel free to leave a message on my talk page. :)

title: User talk:Chapindwight


text:
User talk:2ballen

Welcome!
Hello, 2ballen, and welcome to Wikipedia! Thanks for your contributions; I hope you like it here and decide to stay. We're glad to have you in our community! Here are a few good links for newcomers:

 * If you haven't already, drop by the new user log and tell others a bit about yourself.
 * Always sign your posts on talk pages with  so others will know who left which comments.
 * The Five Pillars of Wikipedia
 * Our policies, guidelines, and simplified ruleset
 * How to edit a page and write a great article
 * The Wikipedia tutorial and picture tutorial
 * The handy Manual of Style
 * And finally, remember to be bold in updating pages!

I hope you enjoy editing and being a Wikipedian. Although we all make mistakes, please keep in mind what Wikipedia is not. If you have any questions or concerns, don't hesitate to see the help pages or add a question to the village pump. The Community Portal can also be very useful.

Happy editing!

-- Sango  123  16:06, July 15, 2005 (UTC)

P.S. Feel free to leave a message on my talk page. :)

 * Hey there. Just letting you know I flagged the image:torso muscles.jpg image you uploaded; it's a good image, but I'm worried it might be a copyright violation. The page discussing this sort of thing is here: Copyrights. Thanks! ByeByeBaby 10:04, 1 August 2005 (UTC)

Image Tagging Image:SATSTIMELINE.jpg
Thanks for uploading Image:SATSTIMELINE.jpg. I notice the 'image' page currently doesn't specify who created the content, so the copyright status is therefore unclear. If you have not created this media yourself then you need to argue that we have the right to use the media on Wikipedia (see copyright tagging below). If you have not created the media yourself then you should also specify where you found it, i.e., in most cases link to the website where you got it, and the terms of use for content from that page.

If the media also doesn't have a copyright tag then you must also add one. If you created/took the picture, audio, or video then you can use GFDL to release it under the GFDL. If you believe the media qualifies as fair use, please read fair use, and then use a tag such as or one of the other tags listed at Image copyright tags. See Image copyright tags for the full list of copyright tags that you can use.

If you have uploaded other media, please check that you have specified their source and copyright tagged them, too. You can find a list of 'image' pages you have edited by clicking on the "my contributions" link (it is located at the very top of any Wikipedia page when you are logged in), and then selecting "Image" from the dropdown box. Note that any unsourced and untagged images will be deleted one week after they have been uploaded, as described on criteria for speedy deletion. Thank you. Longhair 00:53, 4 February 2006 (UTC)

title: User talk:2ballen


text:
Red Front (UK)

Red Front was a socialist electoral coalition in the United Kingdom which stood fourteen candidates in the 1987 general election.

Its main component was the Revolutionary Communist Party of Frank Furedi, while it also attracted the support of the tiny Revolutionary Democratic Group, Red Action and a few independents. The RCP was hugely optimistic about its potential and spoke of it in time replacing the Labour Party as the main left wing force in British politics. However, Red Front candidates shared only 3,177 votes in total and as a result it was abandoned shortly after the election.

Election results
General election 11 June 1987

title: Red Front (UK)


text:
User talk:Wikinewsblackcat

Welcome!
Hello, Wikinewsblackcat, and welcome to Wikipedia! Thanks for your contributions; I hope you like it here and decide to stay. We're glad to have you in our community! Here are a few good links for newcomers:

 * If you haven't already, drop by the new user log and tell others a bit about yourself.
 * Always sign your posts on talk pages with  so others will know who left which comments.
 * The Five Pillars of Wikipedia
 * Our policies, guidelines, and simplified ruleset
 * How to edit a page and write a great article
 * The Wikipedia tutorial and picture tutorial
 * The handy Manual of Style
 * And finally, remember to be bold in updating pages!

I hope you enjoy editing and being a Wikipedian. Although we all make mistakes, please keep in mind what Wikipedia is not. If you have any questions or concerns, don't hesitate to see the help pages or add a question to the village pump. The Community Portal can also be very useful.

Happy editing!

-- Sango  123  16:07, July 15, 2005 (UTC)

P.S. Feel free to leave a message on my talk page. :)

Thank you --Wikinewsblackcat 16:22, 15 July 2005 (UTC)

 * No problem. Sango  123  16:24, July 15, 2005 (UTC)

I'am really bored what can I do? --Wikinewsblackcat 16:37, 15 July 2005 (UTC)

title: User talk:Wikinewsblackcat