OpenLLM-France/wikimedia huggingface dataset:
# Moment matrix

In mathematics, a moment matrix is a special symmetric square matrix whose rows and columns are indexed by monomials. The entries of the matrix depend on the product of the indexing monomials only (cf. Hankel matrices.)
Moment matrices play an important role in polynomial fitting, polynomial optimization (since positive semidefinite moment matrices correspond to polynomials which are sums of squares) and econometrics.

## Application in regression

A multiple linear regression model can be written as
    $y=\beta _{0}+\beta _{1}x_{1}+\beta _{2}x_{2}+\dots \beta _{k}x_{k}+u$
where $y$ is the dependent variable, $x_{1},x_{2}\dots ,x_{k}$ are the independent variables, $u$ is the error, and $\beta _{0},\beta _{1}\dots ,\beta _{k}$ are unknown coefficients to be estimated. Given observations $\left\{y_{i},x_{i1},x_{i2},\dots ,x_{ik}\right\}_{i=1}^{n}$, we have a system of $n$ linear equations that can be expressed in matrix notation.
    ${\begin{bmatrix}y_{1}\\y_{2}\\\vdots \\y_{n}\end{bmatrix}}={\begin{bmatrix}1&x_{11}&x_{12}&\dots &x_{1k}\\1&x_{21}&x_{22}&\dots &x_{2k}\\\vdots &\vdots &\vdots &\ddots &\vdots \\1&x_{n1}&x_{n2}&\dots &x_{nk}\\\end{bmatrix}}{\begin{bmatrix}\beta _{0}\\\beta _{1}\\\vdots \\\beta _{k}\end{bmatrix}}+{\begin{bmatrix}u_{1}\\u_{2}\\\vdots \\u_{n}\end{bmatrix}}$
or
    $\mathbf {y} =\mathbf {X} {\boldsymbol {\beta }}+\mathbf {u}$
where $\mathbf {y}$ and $\mathbf {u}$ are each a vector of dimension $n\times 1$, $\mathbf {X}$ is the design matrix of order $N\times (k+1)$, and ${\boldsymbol {\beta }}$ is a vector of dimension $(k+1)\times 1$. Under the Gauss–Markov assumptions, the best linear unbiased estimator of ${\boldsymbol {\beta }}$ is the linear least squares estimator $\mathbf {b} =\left(\mathbf {X} ^{\mathsf {T}}\mathbf {X} \right)^{-1}\mathbf {X} ^{\mathsf {T}}\mathbf {y}$, involving the two moment matrices $\mathbf {X} ^{\mathsf {T}}\mathbf {X}$ and $\mathbf {X} ^{\mathsf {T}}\mathbf {y}$ defined as
    $\mathbf {X} ^{\mathsf {T}}\mathbf {X} ={\begin{bmatrix}n&\sum x_{i1}&\sum x_{i2}&\dots &\sum x_{ik}\\\sum x_{i1}&\sum x_{i1}^{2}&\sum x_{i1}x_{i2}&\dots &\sum x_{i1}x_{ik}\\\sum x_{i2}&\sum x_{i1}x_{i2}&\sum x_{i2}^{2}&\dots &\sum x_{i2}x_{ik}\\\vdots &\vdots &\vdots &\ddots &\vdots \\\sum x_{ik}&\sum x_{i1}x_{ik}&\sum x_{i2}x_{ik}&\dots &\sum x_{ik}^{2}\end{bmatrix}}$
and
    $\mathbf {X} ^{\mathsf {T}}\mathbf {y} ={\begin{bmatrix}\sum y_{i}\\\sum x_{i1}y_{i}\\\vdots \\\sum x_{ik}y_{i}\end{bmatrix}}$
where $\mathbf {X} ^{\mathsf {T}}\mathbf {X}$ is a square normal matrix of dimension $(k+1)\times (k+1)$, and $\mathbf {X} ^{\mathsf {T}}\mathbf {y}$ is a vector of dimension $(k+1)\times 1$.
# Mussert's Wall

The Mussert's Wall (Dutch: Muur van Mussert) is all that remains of a rally ground with buildings and monuments planned by Anton Mussert and his National Socialist Movement in the Netherlands (NSB) to house party meetings and hold national events to celebrate national-socialist thought in the Netherlands. The wall was built in 1938, on a plot of land the NSB had acquired near Lunteren in Gelderland, in the center of the country, and was inspired by the Nazi party rally grounds in Nuremberg.
Between 1936 and 1940, the NSB organized annual Hagespraken at the location, open-air propaganda meetings based on a supposed Germanic ideal and modeled after similar meetings in Germany. The place was visited by tens of thousands of NSB members, though the atmosphere was more that of a boy scout jamboree. One of the speakers at the (last) meeting on 22 June 1940 was Adriaan van Hees, who called for vengeance for the death of eight NSB members who had been executed during the German invasion of May 1940. After 1940, mass gatherings of a political kind were forbidden by the German occupying forces; after the war, the wall fell into disrepair. As of 2015 the wall, overgrown in places, is little more than a boundary for a local campground; the masonry is crumbling and the associated buildings are ruined.
In the early 2000s, the municipality of Ede wanted to have the wall declared a monument but backtracked, after protests by war veterans and others (including the Center for Information and Documentation Israel [nl], an organization founded by the Dutch Jewish community), some of whom feared that the place would become a gathering point for the extreme right.
# 469 BC

Year 469 BC was a year of the pre-Julian Roman calendar. At the time, it was known as the Year of the Consulship of Priscus and Caeliomontanus (or, less frequently, year 285 Ab urbe condita). The denomination 469 BC for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years.

## Events
### By place
#### Greece

* The island of Naxos wishes to secede from the Delian League, but is blockaded by Athens and forced to surrender. Naxos becomes a tribute-paying member of the Delian League. This action is considered high-handed and resented by the other Greek city states.
* Themistocles, after being exiled from Athens, makes his way across the Aegean to Magnesia, an inland Ionian city under Persian rule.

## Births

* Socrates, Athenian philosopher (approximate date) (d. 399 BC)

## Deaths

* King Yuan of Zhou (Ji Ren), 27th king of the Zhou dynasty of China
* Duke Chu of Wey, 30th and 33rd ruler of state of Wey
* Leotychides, king of Sparta (b. c.545 BC)
# Trostyanka

Trostyanka (Russian: Тростянка) is a rural locality (a selo) and the administrative center of Trostyanskoye Rural Settlement, Yelansky District, Volgograd Oblast, Russia. The population was 551 in 2010. There are six streets.

## Geography

Trostyanka is located on Khopyorsko-Buzulukskaya Plain, on the right bank of the Buzuluk River, 26 km southwest of Yelan (the district's administrative centre) by road. Rovinsky is the nearest rural locality.
# Hezar Khani, Kangavar

Hezar Khani (Persian: هزارخاني, also Romanized as Hezār Khānī) is a village in Fash Rural District, in the Central District of Kangavar County, Kermanshah Province, Iran. At the 2006 census, its population was 151, in 35 families.
# Kustovoye

Kustovoye (Russian: Кустовое) is a rural locality (a selo) and the administrative center of Kustovskoye Rural Settlement, Yakovlevsky District, Belgorod Oblast, Russia. The population was 1,679 as of 2010. There are 8 streets.

## Geography

Kustovoye is located 33 km southwest of Stroitel (the district's administrative centre) by road. Seretino is the nearest rural locality.
# Neskuchny Garden

Neskuchny Garden (Russian: Неску́чный сад; literally meaning "not boring" or "merry") is the oldest park in Moscow, Russia. With an area of 40.8 hectares (101 acres) and a former Emperor's residence, created as a result of the integration of three estates in the 18th century, it also contains the Green Theater, one of the largest open amphitheaters in Europe, which can sit 15,000 people.
TV broadcasting of famous game What? Where? When? (Russian: Что? Где? Когда?) takes place in the Okhotnichy domik that is located in the Neskuchny Garden.
# KF Drita Bogovinë

KF Drita Bogovinë (Macedonian: ФК Дрита Боговиње, romanized: FK Drita Bogovinje) is a football club based in Bogovinje, North Macedonia. They are currently competing in the Macedonian Third Football League (West Division).

## History

The club was founded in 1994 under the name Bogovinje (Macedonian: Боговиње).
The biggest success of the club was playing in the Macedonian First League in the 2012–13 season, after the promotion from the Macedonian Second League. Drita was relegated after the play-off against FK Gorno Lisiče which was ended in the 70th minute after the players of Drita left the ground because they were disappointed with the referee's decisions.

## Honours

Macedonian Second League:
* Runners-up (1): 2011–12

## Current squad

Note: Flags indicate national team as defined under FIFA eligibility rules. Players may hold more than one non-FIFA nationality.
| No. | Pos. | Nation | Player |
| 3 | DF | MKD | Muharem Mislimi |
| 4 | DF | MKD | Faton Rexhepi |
| 5 | DF | MKD | Amir Aliu |
| 9 | | MKD | Vildan Islami |
| 10 | | MKD | Arsim Ramadani |
| 7 | MF | MKD | Lirim Beshiri |
| 11 | MF | MKD | Betim Miftari |
| 13 | GK | MKD | Vulnet Islami |
| 14 | | MKD | Premtim Jakupi |
| 15 | | MKD | Bekim Ferati |
| 16 | | MKD | Ardit Zeqiri |
| 17 | | MKD | Besim Alili |
| 19 | | MKD | Agron Shefiti |
# Ashkbous

Ashkbous (Persian: اشکبوس) is a Keshanian hero in Shahnameh who fights with Iranians in the Battle of Kamous-e Kashani. In Bondari's translation of Shahnameh into Arabic, his name is given as Askbos. In the story of Kamous, Ashkbous first fights with Rohham and defeats him, but he himself was defeated and killed by Rostam who was fighting on foot without Rakhsh. The battle of Rostam and Ashkbous was a popular choice in Persian miniature. It has been suggested that Kashanians or Koshanians are related to Kushan Empire.
# Padmaja Naidu Himalayan Zoological Park

Padmaja Naidu Himalayan Zoological Park (also called the Darjeeling Zoo) is a 67.56-acre (27.3 ha) zoo in the town of Darjeeling in the Indian state of West Bengal. The zoo was opened in 1958, and an average elevation of 7,000 feet (2,134 m), is the largest high altitude zoo in India. It specializes in breeding animals adapted to alpine conditions, and has successful captive breeding programs for the snow leopard, the endangered Himalayan wolf and the red panda. The zoo attracts about 300,000 visitors every year. The park is named after Padmaja Naidu (1900–1975) who served as the 4th Governor of West Bengal. The zoo serves as the central hub for Central Zoo Authority of India's red panda program and is a member of the World Association of Zoos and Aquariums.

## History

A zoo was established on 14 August 1958 in the Birch Hill neighbourhood of Darjeeling under the Department of Education of the Government of West Bengal with a goal to study and preserve Himalayan fauna. Its first Director and founder was Dilip Kumar Dey. Mr. Dey, who belonged to the Indian Forest Service was on deputation to the Department of Education for the express purpose of establishing a high-altitude zoological park specializing mainly in Himalayan flora and fauna. The park's prized possessions were a pair of Siberian (Ussuri) tigers presented to the Government of India by Soviet Premier Nikita Khrushchev in 1960. Over the years famous names in the world of Conservation have been attracted to and have visited the HZP. The zoo now contains endangered animals like snow leopards, red pandas, gorals (mountain goat), Siberian tigers and a variety of endangered birds. However, there has been concern regarding the fact that the Himalayan animals may face a threat due to rising temperatures in the hilly area.
In January 1972, the park became a registered society, with an agreement that maintenance costs would be shared by the central and state governments. In May 1993, the park was transferred to the West Bengal Department of Forests. The park was renamed in 1975 when Indira Gandhi, the Prime Minister of India, visited the park and dedicated it to the memory of Padmaja Naidu.

## Conservation

The zoo includes an off-display breeding center for snow leopards and red pandas. Captive breeding of snow leopards was started in 1983, with leopards which were brought to the zoo from Zurich, the United States, and Leh-Ladakh. The red panda program was started in 1994 with individuals from the Cologne Zoo, the Madrid Zoo, Belgium, and the Rotterdam Zoo. In addition to these species, the zoo is breeding the Himalayan tahr, blue sheep, Himalayan monal, grey peacock pheasant, Himalayan salamander, blood pheasant and satyr tragopan. The zoo is famous for its conservation breeding programmes of the red panda, Himalayan salamander, Tibetan wolf, and snow leopard.

## Gallery

* Entrance
* Snow leopard
* Tibetan wolf
* Tibetan wolf
* Himalayan leopard
* Red panda
* Red Panda feeding on bamboo shoots
* A red panda, one of the main attractions of the zoo
# Kauchuk Factory Club

Kauchuk Factory Club (Russian: Клуб завода «Каучук») is a 1927-1929 russian avant-garde public building designed by Konstantin Melnikov, located in Khamovniki District of Moscow, Russia on the edge of Devichye Pole park and medical campus at 64, Plyshikha Street.

## History and architecture

Kauchuk rubber factory, originally based in Riga, relocated to Khamovniki in Moscow in 1915, threatened by German offensive, and was considerably expanded afterwards. Construction of a club was part of a 1920s nationwide drive to replace religion with more appropriate entertainment. Melnikov theorized that "Club is not a stern temple of some deity. We must attain such an atmosphere, that we would not need to drag a worker in. He would run there himself, past his home and past his pub... the club, if it succeeds, will show what the new private life is all about" (Russian: Клуб – не строгий храм какого-то божества. В нем нужно добиться такой обстановки, чтоб рабочего в клуб не тащить, а он сам бы бежал в него мимо дома и пивной… клуб должен, если сумеет, показать, как устроен новый быт).

## Preservation

The club, like all 1920s buildings, is under threat of demolition. As of March, 2007, preservationists succeeded to delay demolition. The building operates a night club and a restaurant, and is in adequate external condition; huge neon lettering that existed in 2003, has been removed. However, its interiors are lost to indiscriminate renovation, original windows are replaced with improperly-sized modern frames. According to Russian press, the building is operated by "Academy of Russian Art", established by pianist Nikolai Petrov.
# Durrës Street

Durrës Street (Albanian: Rruga e Durresit, formerly Rruga Kongresi i Përmetit) is a major street of Tirana, Albania. It is one of the most important street of western Tirana and runs west from the central Skanderbeg Square for several kilometres until it reaches the sea to the north of Durrës.
# Aleksandr Sudarikov

Aleksandr Borisovich Sudarikov (Russian: Александр Борисович Судариков; born 23 August 1969) is a retired Russian professional footballer. He made his professional debut in the Soviet Second League in 1988 for SK EShVSM Moscow.

## Honours

* Russian Cup winner: 1993.
# Rasim Khutov

Rasim Inalyevich Khutov (Russian: Расим Инальевич Хутов; 9 July 1981) is a Russian retired professional footballer who played as a forward or midfielder.

## Club career

Khutov played five seasons in the Russian Football National League for Dynamo Stavropol, FC Lada Togliatti and Dynamo Makhachkala.

## Honours

* Russian Second Division Zone South best player: 2004
# Reformist Party ORA

Reformist Party ORA (Albanian: Partia Reformiste ORA) was a social-democratic political party in Kosovo. The party supported Kosovo independence.
The party was normally referred to as ORA, which in Albanian means the Hour.
ORA was founded as Civil List ORA (Albanian: Lista Qytetare ORA) in the summer of 2004. During the legislative elections on 24 October 2004, the party won 6.2 per cent of the popular vote and 7 out of 120 seats in the Assembly of Kosovo and formed together with the Democratic Party of Kosovo, a strong opposition. However, in the election held in November 2007, it failed to pass the 5% threshold required to win seats in parliament, netting only about 4,2% of votes.
The following were members of Kosovo Albanian parliament from ORA: Nazim Jashari, Teuta Sahatqija, Gazmend Muhaxheri, Genc Gorani, Fatmire Mullhaxha Kollcaku, Ylber Hysa and Veton Surroi. Surroi was a member of the 'Kosovo Unity Team', a five-member team of the most senior negotiators that represents the people of Kosovo in the talks for the final status of Kosovo.
The last leader of the party, Teuta Sahatqija, took over the leadership on 2 March 2008.
In February 2010, ORA decided to dissolve as a political entity and join the Democratic League of Kosovo.
# Institute of Telecommunications and Informatics of Turkmenistan

Institute of Telecommunications and Informatics of Turkmenistan (Turkmen: Türkmenistanyň Telekommunikasiýalar we informatika instituty) is the largest institution of higher education in Turkmenistan, located in the capital of Ashgabat. Founded in 1992, prepares professionals and higher vocational education for railway transport and other sectors of the economy. Its rector was Nurnepes Annaevich Kuliev, until the university was abolished.

## History

Turkmen State Institute of Transport and Communications (Turkmen: Türkmen döwlet ulag we aragatnaşyk instituty) - forge highly qualified personnel for the entire system of transport and communications of the country. At the 4 faculties of the Institute trained more than 1,350 students. In the departments of the institute has more than 140 faculty members.
In Ashgabat, September 1, 2009, was commissioned a new building of the institute. The complex consists of a multi-storey office tower, eight academic buildings, several gyms.
Turkmen State Institute of Transport and Communications liquidated on June 12, 2019. Institute of Telecommunications and Informatics of Turkmenistan became its legal successor. The new university transfers to the jurisdiction of the Ministry of Education of Turkmenistan and designates it as the legal successor of the abolished Turkmen State Institute of Transport and Communications. Nurnepes Annaevich Kuliev became a rector of the new educational institution. He has held a similar position in the abolished institute.

## Faculties

The Institute of Telecommunications and Informatics has 5 faculties, which, in total, train in 21 specialties.
# Hostile (disambiguation)

To be hostile is a form of angry internal rejection or denial in psychology.
Hostile may also refer to:

## Film and television

* Hostile (2022 film)
* Hostiles (film)
* "Hostile" (Runaways), an episode of Runaways

## Other uses

* HMS Hostile (H55), an H-class destroyer
* One of the classes in the North Korean Songbun system
* Hostile  [fr], a 2017 film starring Brittany Ashworth and Grégory Fitoussi
# Don McMillan

Don McMillan is an American comedian and former engineer based in the San Francisco Bay Area.

## Education

McMillan earned a Bachelor of Science in electrical engineering from Lehigh University and a Master of Science in electrical engineering from Stanford University.

## Career

McMillan worked AT&T Bell Laboratories, where he was a part of the team that designed the world's first 32-bit microprocessor. He then moved to the Silicon Valley, where he worked at VLSI Technology as a computer chip designer. During his six years at VLSI, he designed more than 50 standard and ASIC designs, many of which are still in use.
His comedy is stand-up based on technical comedy and corporate comedy. One of his popular shows is Life After Death by PowerPoint which has been popular on YouTube and for live events.
He has also acted in and/or written episodes on Star Trek: Voyager, Babylon 5 and multiple other movies. He has also starred as a guest on talk shows.
In 2022, McMillan competed on the television show America's Got Talent, where he advanced to the live shows as one of the top 55 qualifiers. He was third in his group of eleven qualifiers and was eliminated, as only the top two of the group advanced to the finale.

## Filmography
### Film

| Year | Title | Role | Notes |
| 1997 | The Fanatics | Jerry | |
| 1997 | Macon County Jail | Clerk | |
| 1998 | The Party Crashers | Bouncer | |
| 2000 | Air Bud: World Pup | Webster | |
| 2002 | Life Without Dick | Michael | |
| 2003 | Don: Plain & Tall | Don | Also writer and producer |
| 2009 | Homewrecker | Bar Patron | |

### Television

| Year | Title | Role | Notes |
| 1991 | Up All Night | — | Episode: "The Evil Dead/The Unholy" |
| 1991–1994 | An Evening at the Improv | — | 3 episodes |
| 1996 | Step by Step | Joe | Episode: "What's Wrong with This Picture?" |
| 1998 | Babylon 5 | Bartender | Episode: "The Corps Is Mother, the Corps Is Father" |
| 2000 | City Guys | Exterminator | Episode: "Harlem Honey" |
| 2000 | Star Trek: Voyager | Hirogen #3 | Episode: "Flesh and Blood" |
| 2022 | America's Got Talent | Himself, performer | |
# Morsam

Morsam (Persian: مرسم) is a village in Kuhdasht-e Gharbi Rural District, in the Central District of Miandorud County, Mazandaran Province, Iran. At the 2006 census, its population was 125, in 31 families.
# Gelligaer

Gelligaer (Welsh: Gelli-gaer; Welsh pronunciation:) is a community in the County Borough of Caerphilly, Wales, in the Rhymney River valley. As well as the village of Gelligaer, the community also includes the small towns of Hengoed and Ystrad Mynach. The population of the community at the 2011 census was 18,408.

## History

Gelligaer is known for its stone Roman fort, part of a network within Roman Wales, believed to have been built between 103 and 111 A.D. and excavated in the early 20th century.
The parish church of St. Catwg (Cadoc) is ancient but heavily restored (with adult baptismal font) in the Victorian era. There is also an ancient standing stone north of the village.

## Governance

There are two tiers of local government covering Gelligaer, at community and county borough level: Gelligaer Community Council and Caerphilly County Borough Council. The community council is based at an office on Llwyn Onn in the Penpedairheol area of the community. Caerphilly County Borough Council also has its main offices in the community of Gelligaer, being at Penallta House in the Tredomen area of Ystrad Mynach.
Gelligaer was an ancient parish in the county of Glamorgan. It was included in the Merthyr Tydfil Poor Law Union from 1836. When elected parish and district councils were established under the Local Government Act 1894, Gelligaer was given a parish council and included in the Gelligaer and Rugos (or Rhigos) Rural District, which covered the parts of the Merthyr Tydfil Poor Law Union within Glamorgan that did not have urban authorities. The rural district was disbanded in 1908, with the parish of Gelligaer being made an urban district on 11 September 1908. It was created specifically as a result of the rapid population growth in the locality as a result of the expansion of the coal mining industry.
Gelligaer Urban District Council comprised 21 councillors including a chairman and the first elections were held on 30 September 1908. Following the initial election a third of the council stood down annually. The council, like other urban districts, was responsible for sanitation, sewerage, housing, streets, cemeteries, libraries, parks, and the licensing of public entertainments. The council was administered by a number of committees and by officers including a Clerk and Medical Officer of Health. The council established its offices on Park Road, opposite Hengoed railway station.
Gelligaer Urban District was abolished in 1974. The Bedlinog ward became a community in Merthyr Tydfil, whilst the rest of the former urban district became a community called Gelligaer within Rhymney Valley District in the new county of Mid Glamorgan. The community was divided in 1985, when separate communities were created for Bargoed and Darran Valley, the Pontlottyn area was transferred to the Rhymney community, and Ystrad Mynach (which had previously straddled the Gelligaer and Caerphilly communities) was united within Gelligaer. Further local government reorganisation in 1996 saw the abolition of Mid Glamorgan County Council, and Rhymney Valley merged with neighbouring Islwyn borough to become the Caerphilly County Borough.
# Dmitri Kostyayev

Dmitri Aleksandrovich Kostyayev (Russian: Дмитрий Александрович Костяев; born 13 December 1989) is a former Russian professional footballer.

## Club career

He made his professional debut in the Russian Second Division in 2006 for FC Yunit Samara.