OpenLLM-France/wikimedia huggingface dataset:
# Jacobi's four-square theorem

In number theory, Jacobi's four-square theorem gives a formula for the number of ways that a given positive integer n can be represented as the sum of four squares (of integers).

## History

The theorem was proved in 1834 by Carl Gustav Jakob Jacobi.

## Theorem

Two representations are considered different if their terms are in different order or if the integer being squared (not just the square) is different; to illustrate, these are three of the eight different ways to represent 1:
${\begin{aligned}1^{2}&+0^{2}+0^{2}+0^{2}\\0^{2}&+1^{2}+0^{2}+0^{2}\\(-1)^{2}&+0^{2}+0^{2}+0^{2}.\end{aligned}}$
The number of ways to represent n as the sum of four squares is eight times the sum of the divisors of n if n is odd and 24 times the sum of the odd divisors of n if n is even (see divisor function), i.e.
$r_{4}(n)={\begin{cases}\displaystyle 8\sum _{m|n}m&{\text{if }}n{\text{ is odd}},\\[12pt]\displaystyle 24\sum _{{m|n} \atop {m{\text{ odd}}}}m&{\text{if }}n{\text{ is even}}.\end{cases}}$
Equivalently, it is eight times the sum of all its divisors which are not divisible by 4, i.e.
$r_{4}(n)=8\sum _{{m\mid n,} \atop {4\nmid m}}m.$
An immediate consequence is $r_{4}(2n)=r_{4}(8n)$; for odd $n$, $r_{4}(2\cdot 4^{a}n)=r_{4}(2n)$.
We may also write this as
$r_{4}(n)=8\,\sigma (n)-32\,\sigma (n/4)$
where the second term is to be taken as zero if n is not divisible by 4. In particular, for a prime number p we have the explicit formula r$_4$(p) = 8(p + 1).
Some values of r$_4$(n) occur infinitely often as r$_4$(n) = r$_4$(2$^m$n) whenever n is even. The values of r$_4$(n) can be arbitrarily large: indeed, r$_4$(n) is infinitely often larger than $8{\sqrt {\log n}}.$

## Proof

The theorem can be proved by elementary means starting with the Jacobi triple product.
The proof shows that the Theta series for the lattice Z$^4$ is a modular form of a certain level, and hence equals a linear combination of Eisenstein series.
# Shikinosato Station

Shikinosato Station (四季の郷駅, Shiki-no-sato-eki) is a railway station in Shirataka, Yamagata, Japan, operated by the Yamagata Railway.

## Lines

Shikinosato Station is a station on the Flower Nagai Line, and is located 28.5 rail kilometers from the terminus of the line at Akayu Station.

## Station layout

Shikinosato Station has a single side platform serving traffic in both directions

## Adjacent stations

| « | « | Service | » | » |
| Flower Nagai Line |||||
| Ayukai | | Local | | Arato |

## History

Shikinosato Station opened on 13 October 2007.

## Surrounding area

* Mogami River
* Shirataka Driving School
* Ayukai Post Office
# Kanal 1 (Bosnia and Herzegovina)

Kanal 1 or K1 is the first Bosnian cable music channel based in Sarajevo. This channel mainly broadcasts the latest music videos of domestic and foreign rock, pop and hip hop artists. The program is produced in Bosnian language. Kanal 1 is available via cable systems and IPTV platforms throughout the Bosnia and Herzegovina.

## Kanal 1 Line-up

Daily program scheme on Kanal 1 consists of several music playlists, talk shows, European films and series.

### TV shows

* Sudo Show – talk show about various topics from everyday life and society hosted by "Director Sudo" and "mysterious Sarajevo stars"
* Ministarstvo Kulture – (Ministry of Culture) the show hosted by renowned Bosnian artist Damir Nikšić, dedicated to the promotion of cultural and artistic achievements
* Izvan Svake Kontrole or ISK – (Outside any control) The show which was conceived as an "online presentation" eponymous radio show that is broadcast on Radio 202 (former part of RTVFBiH public service). An integral part of TV shows and makes web portal (ISK Webzine) where you can read reviews, articles and many other interesting activities from the world of rock and roll and film industry.
* Novi BH Zvuk or ISK – (The new BH Sound)"" – a music TV show dedicated to local musicians led by famous Bosnian musicians.
* Šortz – is a TV show that is intended for fans of experimental film art and offers short films of different genres.

### Foreign series

* The Old Guys – British comedy television series produced by BBC Scotland
* Mad Dogs – British black comedy and psychological thriller television series produced by Left Bank Pictures, and co-produced by Palma Pictures
* luther – British psychological crime drama television series produced by BBC One
* Top Gear – British television show about motor vehicles, primarily cars etc.
# Gustaf Fröding

Gustaf Fröding (Swedish pronunciation: ; 22 August 1860 – 8 February 1911) was a Swedish poet and writer from Alster, Värmland. The family moved to Kristinehamn in the year 1867. He later studied at Uppsala University and worked as a journalist in Karlstad.

## Poetry

His poetry combines formal virtuosity with a sympathy for the ordinary, the neglected and the down-trodden, sometimes written in his own regional dialect. It is highly musical and lends itself to musical setting; many of his poems have been set to music and recorded by Swedish singers such as Olle Adolphson, Monica Zetterlund, the Värmland group Sven-Ingvars and the Swedish band Mando Diao.
Fröding wrote openly about his personal problems with alcohol and women and had to face a trial for obscenity.

## Sickness

The latter part of his life he spent in different mental institutions and hospitals to cure his mental illness and alcoholism, and eventually diabetes. During the first half of the 1890s he spent a couple of years at the Suttestad institution in Lillehammer, Norway, where he finished his work on his third book of poetry Stänk och flikar, which was published in 1896. He wrote much of the material at a mental institution in Görlitz, Germany. In 1896 he moved back to Sweden. But as the year neared Christmas, his sister Cecilia made the difficult decision to make him stay at a hospital in Uppsala. Under the care of professor Frey Svenson Fröding got away from liquor and women, except one, Ida Bäckman. Fröding never married Ida, but grew fond of a nurse named Signe Trotzig. When he left hospital in Uppsala she stayed with him to the day he died.
A play by Swedish playwright Gottfrid Grafström, called Sjung vackert om kärlek, about Fröding's time at the mental institution in Uppsala was first performed at the Royal Dramatic Theatre in 1973 and has had periodic revivals since.

## Selected works

* Gitarr och dragharmonika (Guitar and concertina) 1891
* Nya dikter (New poems) 1893
* Räggler å paschaser (Tall tales and adventures) 1895
* Stänk och flikar (Splashes and spray) 1896
* Nytt och gammalt (New and old) 1897
* Gralstänk (Splashes of the grail) 1898
* Efterskörd (Gleanings) 1910
* Reconvalescentia (Convalescence) 1914
* Samlade skrifter 1-16 (Collected works 1-16) 1917–1922
* Brev till en ung flicka (Letters to a young girl) 1952
* Äventyr i Norge (Adventures in Norway) 1963
* Gustaf Frödings brev, 2 vol. (Gustaf Fröding's letters, 2 vol.) 1981-1982
* "23 Bojaere"*

## His works in English

* Poems 1903
* Selected Poems 1916
* Guitar and Concertina 1925
* Gustaf Fröding: His Life and Poetry 1986
* Swedes On Love CD 1991
* The Selected Poems of Gustaf Fröding 1993
* The Complete Poems of Gustaf Fröding 1997-1999
* The North! To the North! 2001
# José Jesús Vázquez González

José Jesús Vázquez González (born 4 April 1977) is a Mexican politician affiliated with the National Action Party (PAN). In the 2003 mid-terms he was elected to the Chamber of Deputies to represent Veracruz's 21st district during the 59th Congress.
# Nyenawliken District

Nyenawliken District (Nyanawriliken) is one of 10 districts of River Gee County, Liberia. As of 2008, the population was 5,159.
As of a 2022, the population was 14,102, of which 7,606 people identified as male, and 6,496 identified as female.
# Dimitrios Andromedas

Dimitrios Andromedas (17 March 1889 – 17 June 1929) was a Greek hurdler. He competed in the men's 110 metres hurdles at the 1920 Summer Olympics.
# Greffuhle Stradivarius

The Greffuhle Stradivarius is a violin made by Antonio Stradivari of Cremona, Italy, around the year 1709. It derives its name from a French nobleman who once owned it. The Greffuhle is one of the eleven Stradivarius instruments that are decorated.
Like the decorated Stradivarius violins in the Spanish Royal Collection, the instrument has a label with a date of 1709. The decoration is elaborate inlay motif of flowers, vines, and animals, the designs conceived by Stradivari himself. The purfling is a wide band of inlaid ivory diamonds and circles on an ebony background. The violin's top plate is made of two-piece spruce with even medium-to-fine grain broadening toward the sides. The back is one-piece maple with narrow, nearly horizontal flame figure; the ribs are of similar maple. The neck is made of modern maple, terminating in the original pegbox and scroll.
It was donated to the Smithsonian Institution in 1997 by Herbert R. Axelrod as part of the Axelrod quartet.
# Sochi Light Metro

Sochi Light Metro was a planned public transportation system in Sochi, Russia, with an intended completion date of 2013. The system was intended to be used during the 2014 Winter Olympics. The plans for the light metro were abandoned in favor of the reconstruction of the railway.

## History

According to a press release of Sochi Olympics, a light rail system was originally proposed which would span 36 km, but eventually a Russian-style light metro system was chosen instead. After Moscow's Butovskaya Line and Saint Petersburg's Nadzemny Express, the Sochi Light Metro would have been Russia's third light metro, among 11 Russian rail rapid transit systems altogether.
Due to a crisis, the project was changed from a light metro to a scaled-down commuter-style railway called the Sochi Aeroexpress. The line will connect the airport with Krasnaya Polyana with an intermediate stop in Adler. The abbreviated version will include a 2.8 km tunnel.
The estimated construction budget is $758,8 million. Original plans for the system were the building of three interconnected lines, with a total of 86.4 km of track and 24 stations running in a mixture of underground, mountain tunnels, elevated, and at-grade construction:
* Olympic Village — Grushevaya Polyana, 49.9 km, 6 stations; according to the ongoing construction, the airport Sochi is not connected to this line. The airport Sochi is connected only by a dead-end station to Adler railway station.
* Olympic Village — Mamayka, via Adler Station and Downtown Sochi (with possible extension to Dagomys and Uch-Dere westwards): 36.3 km, 20 stations;
* Mamayka — Grushevaya Polyana, via Adler Station and Sochi International Airport: 69.9 km, 17 stations.
In December 2008 RZD announced it would be tendering for 54 dual voltage (AC and DC), 160 km/h (99 mph) trains with capacities of about 1000 passengers for use in southern Russia, and for use during the Sochi Olympics. In February 2009 Bombardier Transportation was reported as the winner with its «Spacium» train design. In December 2009 the formal contract for 54 trains (valued $598 million) was signed with Siemens. Siemens designates the train type Desiro RUS, the trains have been named Ласточка (Lastochka, Swallow).
A news report of January 27, 2012 by Rail.co website (United Kingdom) stated that the rail link between Adler and the Sochi International Airport will be operational later that year.
As of December 31, 2013, the scaled-down version of the system, the Sochi Aeroexpress, is in operation, on a route between Sochi and the Sochi International Airport with a stop in Adler.
# Kfeir al-Zayt

Kfeir Alzeit (also spelled Kufayr al-Zayt) (Arabic: كفير الزيت) is a village in southern Syria, administratively part of the Rif Dimashq Governorate, located northwest of Damascus in the Wadi Barada. Nearby localities include Ain al-Fijah, Deir Qanun, al-Dimas, Jdeidat al-Wadi, Deir Muqaran and Basimah. According to the Syria Central Bureau of Statistics, Kfeir Alzeit had a population of 4,170 in the 2004 census.

## History

The first anti-government protest in Wadi Barada was in Kfeir Alzeit and took place on April 1, 2011 when people left the Mohammad Al-Amin Mosque after Friday prayers. A group of about 30 men gathered outside and started chanting slogans: “Allahu akbar,” “Freedom!” and “Daraa, we are with you until death!”. The protesters were mainly from outside the village, but some of them were villagers, and some were armed.
After the unrest, villagers with connections appealed to the presidential palace to send someone to negotiate with the protesters. A week later after morning prayer, a group from Kfeir Alzeit met with an official delegation headed by Issam Zahreddine, a brigadier general in the Syrian Republican Guard who went on to lead the assault on the district of Baba Amr in Homs in February 2012. The first thing the villagers demanded was to have the river restored and thereby get permanent access to clean drinking water. They also complained about the lack of public transportation and the land confiscations, and discussed a number of other local issues. The villagers did not call for the fall of the regime. Zahr al-Din conceded to all of the demands. According to one villager who attended the meeting, he said: “We are one family. This is a conspiracy against the homeland. We [the army and government] are here for the people and the people are ours.” There was no follow-up to the meeting, however, and in the weeks that followed, the protest movement in Kfeir Alzeit and across Wadi Barada gained force, despite the efforts of village elders to calm younger residents.
On May 24, 2013, with no apparent cause, the army shelled a funeral in Kfeir Alzeit with a 122-mm howitzer and killed a number of civilians. The regime bombed the same village on April 11, 2014, killing another two civilians and wounding a third, also for reasons unknown.
# Lavdim Zumberi

Lavdim Zumberi (born 27 November 1999) is a Swiss footballer who plays as a attacking midfielder for Kosovo Superleague club Feronikeli.

## Club career
### FC Zürich

Zumberi started his footballing career with FC Bazenheid and later FC Wil, before moving to the academy of FC Zürich in 2015. His competitive debut for the first team was on 17 February 2019 in an away game against the BSC Young Boys. Zumberi signed his first professional contract on 22 May 2019 keeping him in Zürich until June 2022 and was permanently promoted to the first team squad. In September 2020 he moved to FC Wil where he signed a 2-year-contract.
# Regina Vázquez Saut

Regina Vázquez Saut (born 11 September 1981) is a Mexican politician. She has been elected to the Chamber of Deputies to represent Veracruz's 20th district on two occasions: in the 2003 mid-terms, for the National Action Party (PAN), and in the 2012 general election, for the Institutional Revolutionary Party (PRI).
She is the daughter of Cirilo Vázquez Lagunes, an assassinated cattle baron.
# The World Needs a Drink

"The World Needs a Drink" (originally released as "I Think The World Needs a Drink") is a song by Canadian country music artist Terri Clark. The song was written by a then-unknown Eric Church and Casey Beathard and produced by Byron Gallimore. It was released on November 8, 2004, to country radio as a single. It was intended to be the lead single to Clark's planned sixth studio album Honky Tonk Songs, which would be reworked to Life Goes On (2005). The song was not included on the album.
The song peaked at number 26 on the US Hot Country Songs chart and number 24 on the Radio & Records Canada Country Top 30 chart. Although Clark herself has never performed the single live, its co-writer Eric Church has performed the song a few times at his concerts.

## Music video

A music video for "The World Needs a Drink" was released, with it being filmed by Thom Oliphant. The video first premiered to Great American Country on January 2, 2005. It would later be released on the more popular CMT on January 23, 2005.

## Commercial performance

"The World Needs a Drink" debuted on the US Billboard Hot Country Songs the week of November 20, 2004, at number 44. It peaked at number 26 on February 19, 2005, where it stayed for two weeks; the song spent 19 weeks overall on the chart.
The single debuted on the Radio & Records Canada Country Top 30 the week of January 28, 2005, at number 30 with 218 total plays. The song reached its peak position of number 24 the week of February 18, 2005, where it stayed for two weeks.

## Charts

| Chart (2004–2005) | Peak position |
| Canada Country (Radio & Records) | 24 |
| US Hot Country Songs (Billboard) | 26 |

### Year-end charts

| Chart (2005) | Position |
| US Country Songs (Billboard) | 98 |

## Release history

Release dates and format(s) for "The World Needs a Drink" :
| Region | Date | Format(s) | Label(s) | Ref. |
| United States | November 8, 2004 | Country radio | Mercury Nashville | |
# Kissling Farm

The Kissling Farm is a historic farm complex and national historic district located in Robesonia, Heidelberg Township, Berks County, Pennsylvania. It was listed on the National Register of Historic Places in 1992.

## History

During the late 18th century, this farm was owned by Peter Kule and his wife, Margretha, who sold the farm to Jacob Klobb (alternate spelling "Klopp") on April 6, 1786. When Klobb/Klopp died intestate on August 7, 1787, the property's two land tracts and distillery were sold by the local Orphans' Court to his sons, John, Jacob and Peter Klobb/Klopp. The property and its buildings were then resold in 1815 to John Bechtle, who was forced by financial circumstances to sell the property during a Sheriff's sale in 1824. Purchased by Jacob and Daniel Bechtle at that time, they sold their shares to John Kalbach, respectively, in 1831 and 1839. Kalbach then sold the property to his son, John, in 1843. Following his death two years later, the property was transferred to Joseph Kalbach, who then sold it to Benjamin Lamm in 1846. After working the land for more than two decades, Lamm died in 1869; the farm was then purchased by Amandon Kissling for $13,000. The farm then remained in the Kissling family's hands between that time and the time that the property was nominated for placement on the National Register of Historic Places in 1991.

### Placement on the National Register of Historic Places

The nomination form to place this property on the National Register of Historic Places was completed by Mary Ellen Lash, a consultant with the Berks County Conservancy in Wyomissing, Pennsylvania in June 1991. This property and its buildings were then officially listed on the National Register of Historic Places in 1992.

## Architectural features

The Kissling Farm complex has seven contributing buildings, one contributing site, and three contributing structures. They are a 2+1⁄2-story, five-bay, vernacular Federal stone farmhouse with kitchen ell addition (1798, c. 1805); frame Pennsylvania bank barn on a limestone foundation (1890); 1+1⁄2-story stone cabin (1793); four stone and frame outbuildings; and three structures.
# Meanwhile Back in Paris...

Professional ratings :
| Review scores ||
| Source | Rating |
| AllMusic | |
Meanwhile Back in Paris... is the debut studio album by Canadian rock band Streetheart. It was released in 1978 and features the band's first two singles, "Action" and "Look at Me". The title comes from the lyrics of the album's opening track "Action". The album was followed by 1979's Under Heaven Over Hell.
In 1995, Repertoire Records re-released the album on CD. It only held the songs from the original LP, and all physical media issues of the album have since remained out of print. However, the album is still available via online MP3 download on major sites such as Amazon and iTunes.
In February 1981, Meanwhile Back in Paris... was certified platinum in Canada (in excess of 100,000 copies sold).

## Track listing
### Side one

* "Action" 4:48
* "Pressure" 3:54
* "Can You Feel It" 3:31
* "Move On Over" 5:18

### Side two

* "Look at Me" 3:46
* "Captain Rhythm" 4:21
* "Streetwalker" 3:55
* "People (Takin' Pieces of Me)" 3:40
* "Just for You" 4:18

## Personnel

Credits are adapted from the Meanwhile Back in Paris... liner notes.
Streetheart
* Kenny Shields – lead vocals
* Paul Dean – guitar; backing vocals
* Matthew Frenette – drums; percussion
* Ken Sinnaeve – bass guitar; backing vocals
* Darryl Gutheil – keyboards; backing vocals
Production and artwork
* George Semkiw – producer; engineer
* Streetheart – producer
* Jeff Stobbs – assistant engineer
* Mark Wright – assistant engineer
* Mick Walsh – assistant engineer
* Gary Muth – executive producer
* Myron Zabol – photography
# Mizuochi Station

Mizuochi Station (水落駅, Mizuochi-eki) is a Fukui Railway Fukubu Line railway station located in the city of Sabae, Fukui Prefecture, Japan.

## Lines

Shinmei Station is served by the Fukui Railway Fukubu Line, and is located 7.3 kilometers from the terminus of the line at Takefu-shin.

## Station layout

The station consists of one ground-level island platform connected to the station building by a level crossing. The station is unattended.

## Adjacent stations

| « | Service | » |
| Fukui Railway Fukubu Line |||||
| Nishi-Sabae | Express | Shinmei |
| Nishiyama-Kōen | Local | Shinmei |

## History

The station opened on October 5, 1927. Upon the closure of the Seiko Line win 1970, the transfer platform was demolished. A Free park-and-ride lot for 80 cars opened on October 1, 2004.

## Passenger statistics

In fiscal 2015, the station was used by an average of 161 passengers daily (boarding passengers only).

## Surrounding area

* Sabae Post Office
* Sabae Municipal Library
* Sabae Welfare Center
* Pacific War Memorial
# Penns Park, Pennsylvania

Penns Park is the oldest village in Wrightstown Township, Pennsylvania, United States. The village is located in the center of the township. The Zip Code is 18943.

## History

This crossroads village was known as Logtown as early as 1716 and as Pennsville during the early nineteenth century. In 1862, the village name was changed to its current one.

## Notable features

Situated just outside of this village, at the intersection of Penns Park Road and Mud Road, a solitary log house still exists. It is reportedly the oldest house in Bucks County.
The community's old graveyard, where many of the township's first settlers were buried, is located to the southwest.
The Penns Park Historic District and Penn's Park General Store Complex are listed on the National Register of Historic Places.