OpenLLM-France/wikimedia huggingface dataset:
# James's theorem

In mathematics, particularly functional analysis, James' theorem, named for Robert C. James, states that a Banach space $X$ is reflexive if and only if every continuous linear functional's norm on $X$ attains its supremum on the closed unit ball in $X.$
A stronger version of the theorem states that a weakly closed subset $C$ of a Banach space $X$ is weakly compact if and only if the dual norm each continuous linear functional on $X$ attains a maximum on $C.$
The hypothesis of completeness in the theorem cannot be dropped.

## Statements

The space $X$ considered can be a real or complex Banach space. Its continuous dual space is denoted by $X^{\prime }.$ The topological dual of $\mathbb {R}$-Banach space deduced from $X$ by any restriction scalar will be denoted $X_{\mathbb {R} }^{\prime }.$ (It is of interest only if $X$ is a complex space because if $X$ is a $\mathbb {R}$-space then $X_{\mathbb {R} }^{\prime }=X^{\prime }.$)
James compactness criterion — Let $X$ be a Banach space and $A$ a weakly closed nonempty subset of $X.$ The following conditions are equivalent:
* $A$ is weakly compact.
* For every $f\in X^{\prime },$ there exists an element $a_{0}\in A$ such that $\left|f\left(a_{0}\right)\right|=\sup _{a\in A}|f(a)|.$
* For any $f\in X_{\mathbb {R} }^{\prime },$ there exists an element $a_{0}\in A$ such that $f\left(a_{0}\right)=\sup _{a\in A}|f(a)|.$
* For any $f\in X_{\mathbb {R} }^{\prime },$ there exists an element $a_{0}\in A$ such that $f\left(a_{0}\right)=\sup _{a\in A}f(a).$
A Banach space being reflexive if and only if its closed unit ball is weakly compact one deduces from this, since the norm of a continuous linear form is the upper bound of its modulus on this ball:
James' theorem — A Banach space $X$ is reflexive if and only if for all $f\in X^{\prime },$ there exists an element $a\in X$ of norm $\|a\|\leq 1$ such that $f(a)=\|f\|.$

## History

Historically, these sentences were proved in reverse order. In 1957, James had proved the reflexivity criterion for separable Banach spaces and 1964 for general Banach spaces. Since the reflexivity is equivalent to the weak compactness of the unit sphere, Victor L. Klee reformulated this as a compactness criterion for the unit sphere in 1962 and assumes that this criterion characterizes any weakly compact quantities. This was then actually proved by James in 1964.
# Basketball at the Islamic Games

The Basketball Tournament at the Islamic Games was held in the İzmir Atatürk Sports Hall from September 29 to October 3, 1980, in İzmir, Turkey.

## Men's competition

* 29 September 1980
| Turkey | 142 – 45 | Libya |
| Malaysia | 83 – 74 | Saudi Arabia |
| Pakistan | 72 – 73 (OT) | Algeria |
* 30 September 1980
| Libya | 58 – 83 | Pakistan |
| Algeria | 84 – 69 | Malaysia |
| Turkey | 105 – 53 | Saudi Arabia |
* 1 October 1980
| Libya | 77 – 111 | Malaysia |
| Turkey | 111 – 66 | Pakistan |
| Saudi Arabia | 68 – 87 | Algeria |
* 2 October 1980
| Pakistan | 80 – 89 | Malaysia |
| Saudi Arabia | 93 – 79 | Libya |
| Turkey | 81 – 38 | Algeria |
* 3 October 1980
| Saudi Arabia | 69 – 82 | Pakistan |
| Algeria | 81 – 54 | Libya |
| Turkey | 100 – 59 | Malaysia |

## Final ranking

| Rank | Team |
| | Turkey |
| | Algeria |
| | Malaysia |
| 4. | Pakistan |
| 5. | Saudi Arabia |
| 6. | Libya |

## Winners

* Basketball tournament winners
* Turkey
# Suhuluceni

Suhuluceni is a commune in Teleneşti District, Moldova. It is composed of two villages, Ghermănești and Suhuluceni.
# Belfast Cromac (UK Parliament constituency)

Cromac, a division of Belfast, was a UK parliamentary constituency in Ireland. It returned one Member of Parliament (MP) to the House of Commons of the United Kingdom from 1918 to 1922, using the first past the post electoral system.

## Boundaries and boundary changes

The constituency was created by the Redistribution of Seats (Ireland) Act 1918 and comprised the western half of South Belfast, and contained the then-Cromac and Windsor wards of Belfast Corporation.
Prior to the 1918 general election and after the dissolution of Parliament in 1922 the area was part of the Belfast South constituency.

## Politics

The constituency was a predominantly Unionist area, with some Labour support. In the 1918 election Sinn Féin came third.

## First Dáil

After the 1918 election, Sinn Féin invited all those elected for constituencies in Ireland to sit as TDs in Dáil Éireann rather than in the House of Commons of the United Kingdom. All those elected for Irish constituencies were included in the roll of the Dáil but only those elected for Sinn Féin sat in the First Dáil. In May 1921, the Dáil passed a resolution declaring that elections to the House of Commons of Northern Ireland and the House of Commons of Southern Ireland would be used as the election for the Second Dáil and that the First Dáil would be dissolved on the assembly of the new body. The area of Belfast Cromac was then represented in the Dáil by the four-seat constituency of Belfast South, which also returned no representatives for Sinn Féin.

## Members of Parliament

| Election | Election | Member | Party |
| | 1918 | William Arthur Lindsay (1866-1936) | Irish Unionist |
| | May 1921 | William Arthur Lindsay (1866-1936) | Ulster Unionist |
| 1922 | 1922 | William Arthur Lindsay (1866-1936) | constituency abolished | constituency abolished |

## Election

General Election 14 December 1918: Belfast Cromac :
| Party | Party | Candidate | Votes | % | ±% |
| | Irish Unionist | William Arthur Lindsay | 11,459 | 76.58 | |
| | Belfast Labour | James Freeland | 2,508 | 16.76 | |
| | Sinn Féin | Archibald Savage | 997 | 6.66 | |
| Majority | Majority | Majority | 8,951 | 59.82 | |
| Turnout | Turnout | Turnout | 21,673 | 69.04 | |
| | Irish Unionist win (new seat) | Irish Unionist win (new seat) | Irish Unionist win (new seat) | Irish Unionist win (new seat) | Irish Unionist win (new seat) |
# Seppuku Paradigm

Seppuku Paradigm is a French electronica/film music/rock duo. They are currently based in Paris, France.
Their name was inspired by the self given death of Japanese author Yukio Mishima who, after a failed coup d'état, committed suicide according to ancient Japanese tradition (seppuku or hara kiri) as a gesture of public protest.
Composed of brothers Cortes namely Alex (guitar/programming) and Willie (vocals/drums/bass/programming), Seppuku Paradigm was formed in 2005.
Before forming the group Willie had released a debut solo album in 2004 on a major label (Willie Cortez: Farsuct'/Delabel/EMI). Alex, who is a former member of French collective Downliners Sekt' (The Pledge EP /B:Cuts) also appeared live and in studio alongside Willie for the FARSUCT project (live performances included festivals "Printemps de Bourges", "Transmusicales" and opening act for Buck 65 at "Elysée Montmartre" in Paris).
In 2007 the duo independently released their first effort Unedited/Unreviewed EP).
The same year the band wrote/produced three exclusive songs for Julien Séri's film Scorpion.
Their first full original soundtrack was for Franck Vestiel's first film Eden Log, featuring singer Melissa Mars (released in French theaters on Dec 26 2007; bought for the US by Magnet).
In 2008 they composed the score to Pascal Laugier’s very controversial second film Martyrs (out in France September 2008/bought for US release by the Weinstein Company).
Their latest work to date is the original soundtrack for Red Nights by Julien Carbon and Laurent Courtiaud for which they won the 'Best Original Soundtrack' award at the Sitges Film Festival in 2010.

## Discography

Seppuku Paradigm - Unedited/Unreviewed EP (2007/Label: Farsuct Global Communication/Dist: Wild Palms Music)

## Filmography

* Additional music (3 songs) for Scorpion (2007/Dir: Julien Séri/Prod: Imperia Films/Dist: Bac Films/Country:France)
* Full original soundtrack for Eden Log (2007/Dir: Franck Vestiel/ Prod: Imperia Films/Dist: Bac Films]/Country:France)
* Full original soundtrack for Martyrs (2008/Dir: Pascal Laugier/ Prod: Eskwad]/Dist: Wild Bunch]/Country:France/Canada)
* Full original soundtrack for Red Nights (2009/Dir: Julien Carbon and Laurent Courtiaud/Prod:Red East Pictures/Dist:Film Distribution/Country:Hong Kong/France)

### Short films

* Full original soundtrack for the fan film Welcome to Hoxford (2011/Dir: Julien Mokrani & Samuel Bodin /Prod:Six Pieds Sur Terre/Country:France)
* Full original soundtrack for On the Other Side‘’ (2010/Dir: Robin Veret/Prod: Rez Creative Labs/Country:Canada)

## Awards

* 2010 - Best Original Soundtrack for 'RED NIGHTS'- Sitges International Fantastic Film Festival.

## Other

Music for the trailer of the game Far Cry 2 released by Ubisoft (MONTREAL - CANADA).(2008)
# Stokmarknes

Stokmarknes (Norwegian) or Njárga (Northern Sami) is a town and the administrative centre of Hadsel Municipality in Nordland county, Norway. It is located on the northern coast of the island of Hadseløya and on the small, neighboring island of Børøya. The 2.57-square-kilometre (640-acre) town has a population (2023) of 3,496 and a population density of 1,360 inhabitants per square kilometre (3,500/sq mi). In 2000, Stokmarknes received "town status".
Stokmarknes is the headquarters to the Hurtigruten coastal express company and also the Coastal Express Museum. The local hospital for the whole Vesterålen region (Nordland Hospital Vesterålen) is located in the town as well. Stokmarknes is the home town of Norwegian band Madrugada. The historic Hadsel Church is located about 5 kilometres (3.1 mi) east of Stokmarknes.
The Børøy Bridge and Hadsel Bridge connect Stokmarknes to the islands of Børøya and Langøya to the north. Stokmarknes Airport, Skagen is located on Langøya, just over the bridges from Stokmarknes.

## Media gallery

* View of the town
* Aerial view of the town
* Another view of the town
* Local hospital
* View of the Coastal Express Museum with the museum ship MS Finnmarken
* Port of Stokmarknes
# Governador Celso Ramos

Governador Celso Ramos is a municipality in the state of Santa Catarina in the South region of Brazil.
The municipality contains part of the 17,104 hectares (42,260 acres) offshore Marinha do Arvoredo Biological Reserve, a fully protected conservation unit established in 1990.
# Beacon of ICT Awards

The Beacon of ICT Awards also known as BoICT Awards are annual ICT awards recognizing organizations' or individuals' contributions to ICT development in Nigeria. The award is organized by Ken Nwogbo, the founder and Editor-in-Chief of Nigeria CommunicationsWeek, a leading Nigerian ICT newspaper published in Lagos State, Nigeria.

## History

The award was established in March 2009 by Ken Nwogbo, a Nigerian columnist and founder of Communication Week Media Limited, publishers of Nigeria CommunicationsWeek, a leading Nigerian information and communications technology newspaper, headquartered in Okota, Lagos State. The 4th edition of the award was held on 20 April 2013 at Eko Hotels and Suites, with Ernest Ndukwe, the former Chairman of the Nigerian Communications Commission, as the guest of honour. The theme of the 6th edition, held on Saturday 25 April 2015 again at Eko Hotel, was “Mobile Money & Financial Inclusion: Fueling IT with Telecommunications”.
# Le Gosier 2nd Canton

Le Gosier 2nd Canton is a former canton in the Arrondissement of Pointe-à-Pitre on the island of Guadeloupe. It had 18,602 inhabitants (2012). It was disbanded following the French canton reorganisation which came into effect in March 2015. The canton comprised part of the commune of Le Gosier.
# William Leet

Major-General William Knox-Leet VC CB (3 November 1833 in Dalkey, County Dublin – 29 June 1898), was an Irish recipient of the Victoria Cross, the highest and most prestigious award for gallantry in the face of the enemy that can be awarded to British and Commonwealth forces.

## Victoria Cross

Leet was 45 years old, and a Major in the 1st Bn., 13th Regiment of Foot (later The Somerset Light Infantry (Prince Albert's)), British Army during the Anglo-Zulu War when the following deed took place on 28 March 1879 at Battle of Hlobane, Zululand, South Africa for which he was awarded the Victoria Cross:
   For his gallant conduct, on the 28th March, 1879, in rescuing from the Zulus Lieutenant A. M. Smith, of the Frontier Light Horse, during the retreat from the Inhlobana. Lieutenant Smith whilst on foot, his horse having been shot, was closely pursued by the Zulus, and would have been killed had not Major Leet taken him upon his horse and rode with him, under the fire of the enemy, to a place of safety.

## Later life

During the Third Anglo-Burmese War (1885–87), then-Colonel Knox-Leet commanded the Infantry's 2nd Battalion, of which 144 men lost their lives in battle. Their names are listed on the Burma Memorial in Taunton, Somersetshire. This was the 2nd Battalion's first operation. Knox-Leet was eventually promoted to Major General.
He married Charlotte Elizabeth Anne Sherlock, a daughter of Thomas Henry Sherlock and Mary Catherine Kingston of Bandon, County Cork, Ireland. They had two sons, Bertie Fielding Knox Leet and Dudley Knox Leet. William retired in July 1887, died in Great Chart, Kent, on 29 June 1898. A memorial to him is in Great Chart Churchyard.
His Victoria Cross is displayed at the Somerset Light Infantry Museum, located in Taunton, Somerset, England.
# Senator Peyton

Senator Peyton may refer to:
* Balie Peyton (1803–1878), Tennessee State Senate
* Joseph Hopkins Peyton (1808–1845), Tennessee State Senate
* Robert Ludwell Yates Peyton (1822–1863), Confederate States Senator from Missouri from 1862 to 1863
# Spiral Staircase (1957 film)

Spiral Staircase (Hungarian: Csigalépcső) is a 1957 Hungarian drama film directed by Frigyes Bán and starring Rudolf Somogyvári, Éva Vass and Irén Sütö. It was shot at the Hunnia Studios in Budapest. The film's sets were designed by the art director Imre Sörés.

## Cast

* Rudolf Somogyvári as Benkõ
* Éva Vass as Edit
* Irén Sütö as Márta
* Béla Barsi as Ilosfay
* Sándor Deák as Gerencser
* Ferenc Kállai as Ilosfay
* Béla Károlyi as Hangversenyen a közönség tagja
* Ilka Petur as Nagymama
* Sándor Tompa as Seszták
* István Egri as Gerencsér Béla
* Ilona Titkos as Hazainé a főbérlő
# Suhu (river)

The Suhu is a left tributary of the river Geru in Romania. It flows into the Geru near Piscu. The basin size of the 72 km (45 mi) long Suhu is 373 km$^2$ (144 sq mi). It is also known as Suhurlui, but the Suhurlui is also a right tributary of the Suhu. Before the regularization of the lower course of the Siret, it was a tributary of the Bârlădel, a branch of the Siret. After the embankment of the Siret plain, the upper course of the Bârladel became the lower reach of the Geru.

## Tributaries

The following rivers are tributaries to the river Suhu (from source to mouth):
* Left: Valea Vacii, Valea Satului
* Right: Suhurlui, Perișani, Valea Rea
# Staib LB-4

The Staib LB-4 a.k.a. Staib Airyplane is a homebuilt aircraft design of Wilbur Staib.

## Design and development

Wilbur Staib (1914–1993) was a self-taught aircraft designer from Diamond, Missouri. Staib served as a flight instructor during the Second World War at Chanute, Kansas flying PT-14s. Staib designed and built five different "LB" (Little Bastard) aircraft and a helicopter, of which several had the title "world's smallest" at their time of construction. Staib flew his aircraft in airshows with the title "The Diamond Wizard".
The LB-4 is a high-wing, uncovered welded steel tube fuselage, single seat twin-engine tricycle gear aircraft. It was registered by the FAA in 1966, and was considered at the time to be the world's smallest twin engine aircraft. The wing ribs were a shortened pattern from a Piper Cub, assembled with staples. The tail section is mounted on a wire braced removable boom for storage. Fuel tanks are made from 1 U.S. gallon (3.8 L; 0.83 imp gal) paint-thinner cans. The engines used recoil starters.

## Operational history

The LB-4 was test flown in 1966 at Carthage, Missouri. The aircraft cruises at 60 mph (97 km/h) and must be flown at full throttle. Later configurations included a third 10 hp (7 kW) engine mounted on top of the wing in pusher configuration.

## Specifications (Staib LB-1)

Data from Air Trails
General characteristics
* Crew: 1
* Length: 15 ft (4.6 m)
* Wingspan: 14 ft (4.3 m)
* Wing area: 70 sq ft (6.5 m$^2$)
* Airfoil: Modified Clark-Y
* Empty weight: 175 lb (79 kg)
* Gross weight: 340 lb (154 kg)
* Fuel capacity: 2 U.S. gallons (7.6 L; 1.7 imp gal)
* Powerplant: 2 × West Bend 820 Chainsaw Two-Cycle Piston, 10 hp (7.5 kW) each
* Propellers: 2-bladed Troyer
Performance
* Maximum speed: 52 kn (60 mph, 97 km/h)
* Cruise speed: 52 kn (60 mph, 97 km/h)
* Stall speed: 30 kn (35 mph, 56 km/h)
# Sepree River

The Sepree River is a short mountain river that is sourced deep within the Kouga mountain range in South Africa. Roughly 15 kilometers from its source, it flows into the larger Kouga River. It starts up near Saptokop peak and flows east approximately 5 km before turning south for 10 or so kilometers. At the confluence with the Kouga River, it had to cut through a 30 m high section of sandstone. This small canyon is only 20 m wide. The temperature of the especially clear water averages 16 degrees Celsius annually.
* This article related to a river in South Africa is a stub. You can help Wikipedia by expanding it.
* v
* t
* e
# James Snedker

James Edward Phipps Snedker (March 11, 1911 – March 31, 1981) was an English-born farmer, business owner and political figure in Saskatchewan, Canada. He represented Saltcoats in the Legislative Assembly of Saskatchewan from 1960 to 1971 as a Liberal.
He came to Saskatchewan with his family at a young age but returned to England for his education. In the late 1920s, he returned to Saskatchewan and settled on a farm near Saltcoats. Snedker also owned the Saltcoats Seed Company. He was a member of the local school board and of hospital boards in the area. Snedker was also a judge for the Canadian Trotting Association. He served as speaker for the Saskatchewan assembly from 1965 to 1971. Snedker was defeated when he ran for reelection in 1971.
# Ryan Malaty

Ryan Malaty (born September 6, 1989) is an American actor and television personality. Malaty stars on the Netflix feature film Reality High and the go90 series My Dead Ex. He is well known internationally for the MTV reality series Are You the One?, and has hosted the series AfterBuzz TV.

## Filmography

| Year | Title | Role | Notes |
| 2014 | Are You the One? | Himself | |
| 2016 | Youthful Daze | Oliver Cardin | Web series, 78 episodes |
| 2016 | AfterBuzz TV | Himself | Host |
| 2017 | Reality High | Vinny | Netflix feature film |
| 2018 | My Dead Ex | Luke Sullivan | Series regular |
| 2019 | The Wedding Year | Ron | |
| 2020 | That One Time | Phil Agresta | Short film |
| 2021 | List of a Lifetime | Tobias | TV film |
# William McRae (disambiguation)

William McRae (1909–1973) was an American judge.
William McRae may also refer to:
* William McRae (botanist) (1878–1952), Scottish botanist
* William McRae (cricketer) (1904–1973), Australian cricketer
* William Plummer McRae (1863/1864 – 1901), American politician
# Senator Phelan

Senator Phelan may refer to:
* James D. Phelan (1861–1930), U.S. Senator from California from 1915 to 1921
* James Phelan Sr. (1821–1873), Confederate States Senator from Mississippi from 1862 to 1864
# Spiral Scratch (novel)

Spiral Scratch is a BBC Books original novel written by Gary Russell and based on the long-running British science fiction television series Doctor Who. It features the Sixth Doctor and Mel. The debut adventure of the Seventh Doctor, Time and the Rani, begins with the Doctor regenerating with little explanation given; Russell's novel attempts to provide a "final story" for the Sixth Doctor and effectively serves as a prequel to Time and the Rani.

## Continuity

* The end of the novel suggests another explanation for the Doctor's regeneration into his seventh incarnation rather than the crash landing seen at the start of Time and the Rani, with the Doctor being forced to sacrifice much of his energy to stop a pan-dimensional being from destroying creation, thus leaving him in a weakened condition prior to the Rani's attack; rather than injuries sustained by the Rani's attack causing the regeneration, he was already dying and the Rani's attack simply finished the job. There is also a reference to the Sixth Doctor meeting a future version of himself in the TARDIS, although which incarnation is not specified. Russell also includes further suggestions that the BBC books range and the Big Finish Productions audio range take place in parallel universes, and even has brief appearances from Peri, Evelyn Smythe, the Cyber-enhanced Evelyn from Real Time and Frobisher, as well as an alternate version of Mel who is a half-Silurian hybrid.
* The unofficial novel Time's Champion, written by Chris McKeon based on notes by the late Craig Hinton, implies that the Doctor's endeavour there is a new timeline created by the Sixth Doctor in his first act as "Time's Champion" as he attempts to save Mel from the clutches of Death, who would become a frequent nemesis to the Seventh Doctor in the Virgin New Adventures novels.
# Rendolepsis

Rendolepsis is a film made in Luxembourg in 2003, directed by Marc Barnig and Philippe Schockweiler and produced by Koler Movies Lëtzebuerg (KML). It stars Vivi Giampaolo and Joëlle Kugener as two friends who embark on an adventure to learn more about a mysterious book which one of them finds in her attic.
The film premiered on 19 September or 20 September 2003, at the Kinosch cinema in Esch-sur-Alzette. The dialogue is in Luxembourgish, the national language of Luxembourg..
# Staikos Staikopoulos

Staikos Staikopoulos (Greek Στάικος Σταϊκόπουλος, c. 1799–1835) was a participant in the Greek War of Independence.

## Biography

Staikopoulos was born at Zatouna, Gortynia, in Arcadia and from an early age was involved in the fur trade. On the island of Hydra, where he went in 1818, he was recruited to the Filiki Eteria by Nikolaos Speliotopoulos.
In 1821, upon the outbreak of the war, he raised his own company of troops and departed Hydra for Argos. He began at once a siege of Nafplio and quickly turned one of its commanders to his side. At last on 29 November 1822, along with Demetrios Moschonesios, he took the fortress of Palamidi, the feat for which he is best remembered in the history books. Afterwards he was promoted from chiliarch to strategos (general). Following this he laid siege to the fort of Corinth, which fell under his occupation. He was the first to face Ibrahim Pasha, from whom he took thirty prisoners, who were sent to Nafplio. He had a seat in the Second National Assembly at Astros. By leave of King Othon he remained in the army, although under guard, since he was opposed to the king's government.

### Death

He died on 21 February 1835, the day of his release from prison, in the guardhouse of Leonardou in Nafplio, from the wounds and hardships of war, and was buried in the old city cemetery.

### Memorial

Today the municipality maintains in his honour a Staikopoulos Park, where every year on November 29 a commendation ceremony is held. In recognition of the fact that Zatouna is his birthplace and Nafplio the place of his death, the two have become sister-cities. Staikopoulos was married to Katerina Demetrakopoulou and had a daughter, Zacharoula.