OpenLLM-France/wikimedia huggingface dataset:
# Bendixson's inequality

In mathematics, Bendixson's inequality is a quantitative result in the field of matrices derived by Ivar Bendixson in 1902. The inequality puts limits on the imaginary and real parts of characteristic roots (eigenvalues) of real matrices. A special case of this inequality leads to the result that characteristic roots of a real symmetric matrix are always real.
The inequality relating to the imaginary parts of characteristic roots of real matrices (Theorem I in) is stated as:
Let $A=\left(a_{ij}\right)$ be a real $n\times n$ matrix and $\alpha =\max _{1\leq i,j\leq n}{\frac {1}{2}}\left|a_{ij}-a_{ji}\right|$. If $\lambda$ is any characteristic root of $A$, then
    $\left|\operatorname {Im} (\lambda )\right|\leq \alpha {\sqrt {\frac {n(n-1)}{2}}}.\,$
If $A$ is symmetric then $\alpha =0$ and consequently the inequality implies that $\lambda$ must be real.
The inequality relating to the real parts of characteristic roots of real matrices (Theorem II in) is stated as:
Let $m$ and $M$ be the smallest and largest characteristic roots of ${\tfrac {A+A^{H}}{2}}$, then
    $m\leq \operatorname {Re} (\lambda )\leq M$.
# Nónfjall

Nónfjall is a 367-metre-high (1,204 ft) mountain on the island Vágar in the Faroe Islands. The mountain is located south of the village of Sørvágur, near Vágar Airport and east of the mountain Høgafjall. The name Nónfjall translates to 'Noon mountain'. However, the Faroese use the word noon differently from the current English usage. In the Faroese language noon refers to 15:00 in the 24-hour clock or 3pm in the 12-hour clock, whereas in the English language noon usually now refers to 12:00 or 12pm.
If you are standing in the centre of the old village in Sørvágur at 15:00 you will see the sun above Nónfjall. Hence the name.
Nónfjall lies above the valley of Kjóvadalur.
# Davenport Center, New York

Davenport Center is a hamlet and census-designated place (CDP) in the town of Davenport, Delaware County, New York, United States. The population was 349 at the 2010 census.

## Geography

Davenport Center is located, as the name suggests, in the center of the town of Davenport, in the Charlotte Valley. Charlotte Creek flows along the northern edge of the community on its way west to the Susquehanna River at Oneonta. New York State Route 23 passes through Davenport Center, leading west 8 miles (13 km) to Oneonta and east 18 miles (29 km) to Stamford.
According to the United States Census Bureau, the Davenport Center CDP has a total area of 3.1 square miles (8.1 km$^2$), of which 3.1 square miles (8.0 km$^2$) is land and 0.04 square miles (0.1 km$^2$), or 1.28%, is water.
# David House (disambiguation)

David House (1922–2012) is a British Army officer.
David House may also refer to:
* Leopold David House, Anchorage, Alaska, listed on the National Register of Historic Places in Anchorage, Alaska
* William David House, Shawhan, Kentucky, listed on the NRHP in Bourbon County, Kentucky
# Beneficial Bank

Beneficial Mutual Bancorp, Inc. operated Beneficial Bank, a full-service bank whose assets totaled approximately $5 billion upon its acquisition by WSFS in 2019. Founded in 1853, Beneficial was the oldest and largest bank headquartered in Philadelphia, with more than 58 locations throughout Pennsylvania and South Jersey. The bank provided financial services including personal and business banking, mortgages and loans, wealth management, business and insurance services.

## History

Beneficial Bank's foundation was built on Saint John Neumann's vision of providing a safe, secure place for Philadelphia's immigrants to deposit their savings. Members of the Board of Managers of St. Joseph's Hospital met in 1853 to discuss starting a saving fund society. That same year, the Beneficial Saving Fund Society was incorporated. In 1854, Beneficial Bank began operations.
The bank celebrated its 160th anniversary in 2013. In 2005, Beneficial completed its acquisition of the insurance firm Paul Hertel & Co., through a subsidiary of the bank, Beneficial Insurances, LLC.
Beneficial had made other major acquisitions in recent years, including the FMS Financial Corporation (the parent company of Farmers & Mechanics Bank) and St. Edmond's Federal Savings Bank. Its last acquisition was the 2015 purchase of Conestoga Bank of Chester Springs, Pennsylvania.
Beneficial completed its conversion to a publicly traded company in early 2015, and was advised by Sandler O'Neill and Partners.
In 2014, Beneficial moved its headquarters to 1818 Market Street in Philadelphia, at which point the building was renamed 1818 Beneficial Bank Place.
WSFS and Beneficial announced that WSFS would acquire Beneficial, with the deal expected to close in early 2019. The deal ultimately closed March 1, 2019. Beneficial offices as well as some WSFS offices were consolidated and/or rebranded under the WSFS name on August 26.
# Bengt Nordenberg

Bengt Nordenberg (April 22, 1822 – December 18, 1902) was a Swedish artist. He belonged to the Düsseldorf school of painting and is best known for his genre paintings with everyday life scenes from the Dalarna, Skåne and Blekinge areas of Sweden. He moved to Düsseldorf in the 1850s.

## Biography

Nordenberg was born at Jämshög in Blekinge County, Sweden. He was one of nine siblings born to Per Jönsson Nord (1785-1854) and his wife Sissa Bengtsdotter (b. 1792). He grew up in poverty and became an apprentice to a painter in Sölvesborg.
In 1843 he fulfilled his wish to come to Stockholm and study at the Royal Swedish Academy of Arts. In the autumn of 1851, he went to the Düsseldorf Academy, where first Theodor Hildebrandt and then later, Adolph Tidemand became his teachers. In particular, the latter had a big influence on Nordenberg's painting style and subject matter. For some time he worked as an assistant to Tidemand, making reproductions of his paintings. Nordenberg also painted pictures of middle-class and upper-class life, and also religious paintings and altarpieces. He painted altarpieces in several Småland churches, including at Stenbrohult in Älmhult and Gårdsby in Växjö.
In 1856, Nordenberg received a travel grant from the Swedish state. He studied with French history painter Thomas Couture (1815–1879) for one and a half years, made a short stop in Düsseldorf, and in the autumn of 1858 he went to Rome. He returned soon to Düsseldorf, where he settled for life. From 1856 to 1889 he was a member of Malkasten, an artists' association there. He also gave private lessons to Swedish artists including Peter Eskilsson (1820-1872), Augusta Jensen (1858-1936) and his nephew Henrik Nordenberg (1857-1928).

## Personal life

In 1855, Nordenberg married Nanny Maria Charlotta Sutthof (1831-1905).

## Gallery

* Rowing to the Church, Dalarna (1854)
* The Veterans (1882)
* A Torn Goat
* Sheppard Family with Goats (1863)
* Winter Travel (1882)
* Leaving home (1876)
# O Guarani

O Guarani may refer to:
* The Guarani (O Guarani), an 1857 Brazilian novel by José de Alencar
* O Guarani (1912 film), a silent Brazilian film
* O Guarani (1916 film), a silent Brazilian film
* O Guarani (1922 film), a silent Brazilian film
* O Guaraní, a 1926 Brazilian silent film
* O Guarani (1979 film), a Brazilian film
* O Guarani (1996 film), a Brazilian film
* O Guarani (miniseries), a 1991 Brazilian TV mini-series
# Belmont, Virginia

Belmont is a census-designated place (CDP) in Loudoun County, Virginia, United States. The population as of the 2010 United States Census was 5,966. It is 5 miles (8 km) southeast of Leesburg, the Loudoun county seat, and 31 miles (50 km) northwest of Washington, D.C. The Belmont Manor House, built between 1799 and 1802 by a son of Richard Henry Lee, is in the northeast part of the CDP and is now the clubhouse for a gated golf community.
The Belmont CDP is situated along the east side of Belmont Ridge Road (State Route 659) between State Route 7 and State Route 267 (the Dulles Toll Road). The CDP extends north to VA 7 and south to include Middlebury Street and the Washington and Old Dominion Trail, while to the east it is bordered by Stubble Road, Claiborne Parkway, and Ashburn Road. Two major subdivisions make up Belmont: Belmont Country Club in the east is the larger of the two, and Belmont Greene, in the west, is the smaller.
According to the U.S. Census Bureau, the Belmont CDP has a total area of 2.7 square miles (7.1 km$^2$), of which 0.03 square miles (0.08 km$^2$), or 1.20%, are water. The area drains mainly east via several streams toward Broad Run, a north-flowing tributary of the Potomac River, while the westernmost part of the CDP drains west to Goose Creek, which also flows north to the Potomac.
# Bengt Lloyd

Bengt Lloyd (4 March 1928 – June 2013) was a Swedish trade union leader.
Born in Malmö, Lloyd began working as a clerk at the Swedish Commercial Employees' Union (Handels), where he gradually rose to prominence. In 1953, he was given responsibility for the union's propaganda work, then soon became its education secretary. In 1959, he was put in charge of negotiations, and then in 1968, he became third president of the union. He progressed to vice president in 1974, and then in 1982 became president, a position he served in for nearly a decade. In 1987, he additionally became president of the International Federation of Commercial, Clerical, Professional and Technical Employees (FIET).
Lloyd retired from his trade union posts in 1991, becoming active in the Swedish Social Democratic Party and chair of Malmö's audit committee.
# David Clough

David Clough may refer to:
* David Marston Clough (1846–1924), American politician
* David L. Clough (born 1968), British author and academic
# Fleetwood-Knight

The Fleetwood-Knight was a Canadian automobile built in Kingston, Ontario by the Davis Dry Dock Company in 1923.
The Davis Dry Dock Company had an excellent reputation for the quality of their yachts, launches and lifeboats, and company owner John Davis wanted to build a car to the same high standards. The prototype was going to be built as a tourer, but Davis's son Lloyd took over development of the car and made it into a sedan. The prototype was nearly finished when it was damaged in a fire. It was rebuilt as a roadster, with a body of finished aluminium.
The Fleetwood-Knight was powered by a 6-cylinder Knight sleeve valve engine, which gave excellent performance. The car was very well appointed, with gasoline and temperature gauges on the dashboard. Unfortunately for the Davises, the prototype cost between CDN$5,000 and CDN$6,000 to build, so it was not economically viable to put the car in production. The car was driven by members of the Davis family until sold, and was still in regular use in Renfrew, Ontario in the late 1960s.
# Callindra

Callindra is a genus of tiger moths in the family Erebidae described by Röber in 1925. It consists of a number of South and East Asian species, reviewed by Vladimir Viktorovitch Dubatolov and Yasunori Kishida (2006), with the type species, Callindra arginalis.

## Species

* Callindra arginalis (Hampson, 1894)
* Callindra equitalis (Kollar, [1844])
* Callindra lenzeni (Daniel, 1943)
* Callindra nepos (Leech, 1899)
* Callindra nyctemerata (Moore, 1879
* Callindra principalis (Kollar, [1844])
* Callindra similis (Moore, 1879
# Callin' Me When I'm Lonely

"Callin' Me When I'm Lonely" is a song recorded by American singer-songwriter Sheryl Crow. It was released as the second single from her 2013 album, Feels Like Home. The song was written by Nashville songwriters Rodney Clawson and Brent Anderson, and one of the two tracks on the album that Crow did not have a hand in writing.

## Critical reception

The song has received positive reviews from music critics. The song was Taste of Country's Critic's Pick for October 13, 2013 and was praised by critic Billy Dukes, who compared the song to Lady Antebellum's "Need You Now", writing that "(you) have to listen a few times to realize you don't miss the heavy-handed production that sensationalizes and sexualizes similar efforts. It's just a woman singing what's in her heart, pure and simple." Tara Toro from Got Country Online gave the song 4 stars out of 5, writing: "Sheryl's voice conveys the feelings of loneliness and vulnerability believably", also stating that "this song (and album) should assist her in becoming a mainstay in the genre". Enio Chiola from Pop Matters wrote that "It's so freakin' catchy and rings out with a home-hitting familiarity that you can't help but think: Why does he always gotta be callin' me when I'm lonely?".

## Promotion

Crow performed the song for the first time on the late night talk show Late Night with Jimmy Fallon. She also performed the song on Katie, Live! with Kelly and Michael and Country Music Television's Hot 20 Countdown.

## Music video

On April 29, 2014, Crow premiered the music video for the single on People.com. The video consists of her performing the song live on her Free and Easy Tour.

## Chart performance

The single debuted at number 52 on the Billboard Country Airplay chart for the week of November 16, 2013.
| Chart (2013–2014) | Peak position |
| US Country Airplay (Billboard) | 26 |
| US Hot Country Songs (Billboard) | 37 |
# Benjamin Cawston

Benjamin Richard Edwin Cawston, known as Ben Cawston, is a Racquets (Rackets) player currently ranked no.1 in the World (March 2022) along with being champion of the world (April 2023).

## Tournaments

Cawston is a two time US Open Singles Champion (2022, 2020). Cawston is the current Invitational Singles Champion (World's Top 8 players event) an event he also won in 2019. Ben is the current holder of the Western Open Singles (Chicago) and the Manchester Gold Racket Singles and Doubles. Ben is the youngest player in history to be ranked at no.1 in the world and also have a challenge for the world championship (November 2022).
Cawston previously was the youngest player in history to win the British Amateur Singles Championship in 2017 (Aged 18) and played at the Queens Club, a tournament dating back to 1888.

## Controversies

Educated at Westgate Comprehensive School in Winchester, Cawston became the first state-educated pupil to win a national public school title. Following this win, he was denied entry to the doubles tournament after professionals from the 14 top private schools voted narrowly to exclude state school players.
David Makey, a professional at Tonbridge School who chairs the Rackets Professionals Association (RPA), said the reason was that state schoolboys did not play in inter-school doubles matches on which the national seedings are based. However, some insiders believe the real reason for the ban was that certain professionals feared that their own 'star players' might lose to Cawston and his doubles partner, Thomas Foster.
# David Michel

David Robert Michel (c.1735-1805) was the member of the Parliament of the United Kingdom for Lyme Regis for the parliament of 12 December 1780 to 1784.
# Belvedere Crossing

The Belvedere Crossing was a proposed River Thames crossing in East and South East London, running between Rainham in the London Borough of Havering and Belvedere in the London Borough of Bexley.
Plans for the crossing, as well as the Gallions Reach Crossing further upstream, were dropped when Sadiq Khan became Mayor of London in 2016.

## Design

Each crossing was expected to consist of two lanes in each direction – one for public transport and one for general traffic. A charge was proposed for vehicles to use the crossings to manage demand and help pay for the scheme. Any pedestrian and cyclist facilities would be segregated from traffic.
It was considered that the crossing could be integrated into the railway network, most likely by continuing the London Overground Gospel Oak to Barking line extension to Barking Riverside across the river via the new crossing, and connecting to national rail lines at Abbey Wood.
# Oberea ulmicola

Oberea ulmicola is a species of beetle in the family Cerambycidae. It was described by Chittenden in 1904. It is known from North America. It feeds on Prunus virginiana.
# David Latta

David Latta may refer to:
* David Latta (politician) (1869–1948), politician from Alberta, Canada
* David Latta (ice hockey) (born 1967), Canadian ice hockey player
* David Latta (rugby union), New Zealand rugby union player
# Nyhan

Nyhan is a surname. Notable people with the surname include:
* Brendan Nyhan (born 1978), American liberal to moderate political blogger, author, and political columnist
* David Nyhan (1940–2005), journalist
* Denis Nyhan, driver of standardbred racehorses in New Zealand's premier racing events
* William Nyhan (born 1926), Professor of Pediatrics at UC San Diego School of Medicine in La Jolla, CA
# Ben Draper

Ben Draper may refer to:
* Ben Draper (actor) in CB the Red Caboose
* Ben Draper, character in Zombie Chronicles
# Calosoma protractum

Calosoma macrum is a species of ground beetle in the subfamily Carabinae. It was described by John Lawrence LeConte in 1852. The species is 22–29 millimetres (0.87–1.14 in) long, black, and lives at an elevation of 1,100 to 1,700 metres (3,600 to 5,600 ft) in Guerrero, Mexico. It flies in June and October.
# Calosoma porosifrons

Calosoma porosifrons is a species of ground beetle in the subfamily of Carabinae. It was described by Henry Walter Bates in 1891.
# Calosoma reitteri

Calosoma reitteri is a species of ground beetle in the subfamily of Carabinae found within Central Asia. It was described by Roeschke in 1897.
It is named for entomologist Edmund Reitter.
# Calca, South Australia

Calca is a small township around 20 kilometres (12 mi) south-east of Streaky Bay, on the southern border of the Calpatanna Waterhole Conservation Park, Eyre Peninsula.
The land was occupied by James Baird (for whom nearby Baird Bay was named), calling it "Kolka" (Aboriginal for 'stars'). Baird, also referred to as Henry Baird, was killed by Aborigines in 1850. A pastoral lease was held by Adam Borthwick from 10 February 1856 (lease no. 554).
The postcode for Calca is 5671.
The 2016 Australian census which was conducted in August 2016 reports that Calca had a population of 9 people.
Calca is located within the federal division of Grey, the state electoral district of Flinders and the local government area of the District Council of Streaky Bay.
# Gerry Davis

Gerry Davis may refer to:
* Gerry Davis (umpire) (born 1953), Major League baseball umpire
* Gerry Davis (outfielder) (born 1958), Major League baseball outfielder
* Gerry Davis (screenwriter) (1930–1991), British writer for television and film
# Modern Short Stories

Modern Short Stories is a Pittsburgh-based "media label" founded by Steve Soboslai and Chris Fafalios of the Pittsburgh pop punk band Punchline and friend Amanda Yu. Its slogan is "Every song is a modern short story."

## History
### Creation

Modern Short Stories was created during summer 2008 in the fall-out of Punchline's departure from Fueled by Ramen Records. Between 2003 and early 2008, Fueled by Ramen released two full-length Punchline albums (2004's Action and 2006's 37 Everywhere), as well as a re-release of 2002's The Rewind EP. During this time, a number of their then-labelmates (Fall Out Boy, Panic! at the Disco, The Academy Is..., The Hush Sound, etc.) were becoming hugely popular, and Punchline became less prominent in the Fueled by Ramen lineup.
The seed that would become Modern Short Stories was sown in July 2007 when Heavy.com announced Punchline the $25,000 grand-prize winner of their Contraband Contest, in which bands competed for views on videos uploaded to the site. Over the course of the contest, Punchline uploaded 65 videos (including clips of Punchline in the studio) and netted nearly 1.2 million views, due in large part to the efforts of bassist Chris Fafalios to mobilize the band's fanbase.

### Releases

On September 18, 2008, Punchline's own Just Say Yes became the first album released on Modern Short Stories.
On February 2, 2009, in accordance with their self-described position as a "media label", Modern Short Stories released Whistle Pig, a collection of short stories, poetry, and illustrations written by friends Chris Fafalios and Tony Hartman. The two previously collaborated on a "YouToon" (a term coined by Fafalios referring to any cartoon uploaded to YouTube) called Texas Toast. According to the book's Myspace page:
   Whistle Pig is a children's book for people who used to be children. Within these pages you'll find a treasury of thought-provoking and hilarious poetry, illustrations, and (masculine) fairy tales written by Tony Hartman and Chris Fafalios. These two (straight) buddies have figured out the formula for comedic cartoon poetry while spending Saturday afternoons drawing, writing, and laughing. The result is a magical journey through the whistle pig ranch of the mind. Enjoy this lesson in cartoon poetry science. Oh, and there's probably some fables in here as well ...
Modern Short Stories is slated to release Justin Oliver's new album in "early 2009", according to an October 2008 entry in Steve Soboslai's "Modern Shorties" blog.
According to Punchline's Myspace, Modern Short Stories will release a Punchline DVD in spring 2009, followed by a full-length album by year's end.
The label's facebook hasn't been updated since 2017.

## Roster

* Punchline
* Justin Oliver
* Spontaneo
* The Composure
# Farmable Wetlands Program

The Farmable Wetlands Program is a wetlands conservation program in the United States. The Farm Service Agency (FSA) runs the program through the Conservation Reserve Program (CRP), with the goal of rehabilitation previously farmed wetlands.

## Legislation

It was first authorized as a pilot program in Title XI of the FY2001 agriculture appropriations legislation (P.L. 106-387) to enroll up to 500,000 acres (2,000 km$^2$) of farmable wetlands smaller than 5 acres (20,000 m$^2$) in six Upper Midwest states (with no more than 150,000 acres (610 km$^2$) in a single state) into the Conservation Reserve Program. The 2002 farm bill (P.L. 107-171, Sec. 2101) made this a 2-million-acre (8,100 km$^2$) national program (with an enrollment limit of 100,000 acres (400 km$^2$) per state), and made changes in eligibility requirements, such as increasing the maximum size of eligible wetlands from 5 acres (20,000 m$^2$) to 10 acres (40,000 m$^2$).
# Bestie (DaBaby and YoungBoy Never Broke Again song)

"Bestie" is a song by American rappers DaBaby and YoungBoy Never Broke Again. It was first released on January 10, 2022 along with their other single "Hit", as a combined record called "Bestie/Hit". It is the third single from their collaborative mixtape Better than You (2022), and was sent to rhythmic contemporary radio on April 19, 2022.

## Composition

Jon Powell of Revolt described the song as "full of the hard-hitting vibes that both artists are well known for".

## Music video

The official music video was released on March 23, 2022 and directed by DaBaby. It finds two women entering DaBaby's house to party and take over his residence with drugs such as lean. NBA YoungBoy appears through FaceTime. The video also features a compilation of TikTok clips of a dance challenge to the song.

## Charts

Chart performance for "Bestie" :
| Chart (2022) | Peak position |
| US Bubbling Under Hot 100 Singles (Billboard) | 13 |
| US Hot R&B/Hip-Hop Songs (Billboard) | 43 |
| US Rhythmic (Billboard) | 39 |
# Dipton

Dipton can refer to:
* Dipton, County Durham, England
* Dipton, New Zealand
# Peddie, South Africa

Peddie (Xhosa: iNgqushwa) is a town in the Ngqushwa Local Municipality within the Amathole District Municipality in the Eastern Cape province of South Africa.
The town is situated 55 km south-west of Qonce and 67 km east of Makhanda. It developed from a frontier post established in 1835 and named Fort Peddie, and became a municipality in 1905. Named after Lieutenant-Colonel John Peddie (died 1840), who led the 72nd Highlanders against the Xhosa in the Sixth Frontier War.
A large provincial hospital on the outskirts of Peddie is named Nompumelelo Hospital.