OpenLLM-France/wikimedia huggingface dataset:
# Serre's inequality on height

In algebra, specifically in the theory of commutative rings, Serre's inequality on height states: given a (Noetherian) regular ring A and a pair of prime ideals ${\mathfrak {p}},{\mathfrak {q}}$ in it, for each prime ideal ${\mathfrak {r}}$ that is a minimal prime ideal over the sum ${\mathfrak {p}}+{\mathfrak {q}}$, the following inequality on heights holds:
    $\operatorname {ht} ({\mathfrak {r}})\leq \operatorname {ht} ({\mathfrak {p}})+\operatorname {ht} ({\mathfrak {q}}).$
Without the assumption on regularity, the inequality can fail; see scheme-theoretic intersection#Proper intersection.

## Sketch of Proof

Serre gives the following proof of the inequality, based on the validity of Serre's multiplicity conjectures for formal power series ring over a complete discrete valuation ring.
By replacing $A$ by the localization at ${\mathfrak {r}}$, we assume $(A,{\mathfrak {r}})$ is a local ring. Then the inequality is equivalent to the following inequality: for finite $A$-modules $M,N$ such that $M\otimes _{A}N$ has finite length,
    $\dim _{A}M+\dim _{A}N\leq \dim A$
where $\dim _{A}M=\dim(A/\operatorname {Ann} _{A}(M))$ = the dimension of the support of $M$ and similar for $\dim _{A}N$. To show the above inequality, we can assume $A$ is complete. Then by Cohen's structure theorem, we can write $A=A_{1}/a_{1}A_{1}$ where $A_{1}$ is a formal power series ring over a complete discrete valuation ring and $a_{1}$ is a nonzero element in $A_{1}$. Now, an argument with the Tor spectral sequence shows that $\chi ^{A_{1}}(M,N)=0$. Then one of Serre's conjectures says $\dim _{A_{1}}M+\dim _{A_{1}}N<\dim A_{1}$, which in turn gives the asserted inequality. $\square$
# Roberto Blanco (actor)

Roberto Blanco (1903–1965) was an Argentine stage and film actor. He appeared in more than thirty films during his career many of them during the Golden Age of Argentine Cinema.

## Selected filmography

* Outside the Law (1937)
* Isabelita (1940)
* I Want to Be a Chorus Girl (1941)
* The Tango Returns to Paris (1948)
* Valentina (1950)
# Shivajinagara (film)

Shivajinagara is a 2014 Indian Kannada-language film directed by P. N. Sathya, starring Duniya Vijay and Parul Yadav with Abhimanyu Singh, Adithya Menon, Ashish Vidyarthi and Daniel Balaji in supporting roles.

## Plot

The story is about an engineering student who goes all the way to protect his family and avenge his father's death. Ram (Duniya Vijay), is the protagonist. He lives with his mother, sister and her kids. His mother is the second wife and his father rarely visits the home. So Ram develops animosity towards his father. But as the story develops, the family is united and they move to Shivajinagar from Basavangudi. Raam falls for the love of the first floor tenant's daughter Pavithra (Parul Yadav). The trouble starts as Ram's father is indebted to a don called Fayaz (Ashish Vidyarthi). The only way to solve the problem is to kill all the villains.

## Cast

* Duniya Vijay as Ram
* Parul Yadav as Pavithra
* Abhimanyu Singh
* Adithya Menon
* Ashish Vidyarthi as Fayaz
* Avinash as Dayanand
* Daniel Balaji as Mohammed Ali

## Reception
### Critical response

The Times of India scored the film at 2+1⁄2 out of 5 stars and says "While Vijay, who dons the angry young man’s hat, is a thrill to watch, Parul Yadav sizzles on screen and does justice to her romantic role. M Selvam’s camerawork is laudable". Shyam Prasad S of Bangalore Mirror scored the film at 2+1⁄2 out of 5 stars and wrote "Vijay and others mouth it nearly a dozen times thereby making sure no one in the audience forgets it. While Vijay goes about killing hundreds, the baddies manage to kill only one police officer and a child in the entire film. There is a death (cause unknown) and also a suicide in Shivajinagara". Sify wrote "Music by Jassie Gift is hummable. Two songs Rangeela and Aase o Aase have become chartbusters. On the whole, the movie is entertaining, particularly for those loving action sequences". A Sharadhaa of The New Indian Express wrote "Shivajinagara is likely to join movies like Majestic, Kalasipalya and countless other experiments with mafia and morals. If you are game to settle for bloodshed and brutal killing, watch Vijay in this electrifying action sequences." B S Srivani of Deccan Herald wrote "Shivajinagara can be hailed for one not-so-obvious thing: Fruits and vegetables avoid getting caught in violence of any kind in the whole film. Where is the need when there are more than 320 humans available for carving, slicing, chopping, mincing, etc? Vijay fans won’t be disappointed for sure."
# St Davids Society of Singapore

The St Davids Society of Singapore (Welsh: Cymdeithas Dewi Sant Singapura; Malay: Persatuan Daud Yang Suci di Singapura) was established for the purpose of bringing together Welsh people with others who wish to further Welsh culture, and to commemorate each year, in loyal manner the death of their National Patron Saint. The Welsh community in Singapore have celebrated the feast of St David since at least 1912 with the earliest mention in the Straits Times that the Welsh community marked the occasion at the Grand Hotel de L’Europe.

## History

The St Davids Society of Singapore has been listed with the Singapore Registry of Societies since 11 November 1961.
As of 1911, the society was not formed but during the celebration of St David on 1 March 1912, D. Y. Perkins expressed the wish to form a St Davids Society in Singapore.
Early celebrations were reported in 1929 of a "fancy gymkhana" for troops on the upper Rugby ground, Tanglin Barracks to commemorate St David's Day in Singapore. The Gymkhana was held by members of the 2nd Bt. the Welch Regiment and consisted of "rugby, association, and hockey matches to be played in fancy dress."
In 1950, the society held their first Annual Reception since the liberation of Singapore at the Singapore Cricket Club Roof Garden on 14 November with the Governor of Singapore Sir Franklin Gimson in attendance. By 1952, the Welsh community held a St. David's day ceremony when Padre Lt.-Col. B. W. M. Price, President of the St. David's Society of Singapore laid a wreath on the Cenotaph on Connaught Drive in memory of all Welshmen who fell in the two world wars. Men from the three services and Welsh business attended the ceremony and a formal dinner was held that night at the Adelphi Hotel for St. David's Day."
# Ohtani Junior and Senior High School

Ohtani Junior and Senior High School (大谷中学校・高等学校, Ōtani Chūgakkō Kōtōgakkō) is a private Buddhist girls' secondary school in Abeno-ku, Osaka.
In 1909 the school was first established. As of 2019 it had 1,406 students. It is a member of the Alliance of Girls' Schools Australasia.
# Pavillion Hotel (Nebraska)

The Pavillion Hotel on Main St. Square in Taylor, Nebraska is a historic building that was listed on the National Register of Historic Places in 1989.
It was built by Herman Carter in 1887 in anticipation of the arrival of the railroad, which was just 13 miles east in Burwell, Nebraska. However, the railroad never came.
The site has also been designated NEHBS #LP03-1.
# Palazzo Clementini

Palazzo Clementini is a Renaissance architecture, aristocratic palace located on Piazza Ippolito Scalza in the historic center of Orvieto in the Region of Umbria, Italy. To the left (north) of the palace is the church of San Giuseppe e Giacomo. The building houses the Liceo Classico Filippo Antonio Gualterio (established in 1863). This palazzo, also known as Palazzo Cornello or Cornelio, rises one block west of the southern facade of Palazzo Gualterio.
The original palace was commissioned by the aristocrat Cornelio Clementini, who employed the architect Ippolito Scalza to design the palace. The facade however remained unfinished until the 20th century. Francesco Clementini in 1687 in his will apportioned funds to complete the facade and palace, demanding the arches of the palace display the coat of arms of his family.
The Commune bought the palace in 1912. The facade was completed in 1937 by Gustavo Giovannoni. It is likely the balcony was not included in the plans by Scalza. The palace housed the Biblioteca Comunale Luigi Fumi, until 2009 (now moved to the former convent attached to the church of San Francesco).
# VTP (disambiguation)

VTP (VLAN Trunking Protocol) is a proprietary Layer 2 messaging protocol.
VTP may also refer to:
* Venturi Transport Protocol, a proprietary transport layer protocol
* Virtual trading point, a non-physical hub for trading in natural gas markets
* Votran Transfer Plaza, Volusia County, Florida
* Progress of the Fatherland Party (Vatan Taraqqiyoti Partiyasi), a political party in Uzbekistan
# Tommy Johansson (speedway rider)

Leif Tommy Johansson (born 21 October 1950) is a former motorcycle speedway rider from Sweden. He earned 32 caps for the Sweden national speedway team.

## Speedway career

Johansson is a former champion of Sweden, winning the Swedish Championship in 1973. He reached the final of the Speedway World Championship during the 1974 Individual Speedway World Championship.
He rode in the top tier of British Speedway from 1971 until 1975, riding for various clubs. He rode for Newport Wasps, Ipswich Witches and Hull Vikings.

## World Final Appearances
### Individual World Championship

* 1974 - Göteborg, Ullevi - 7th - 8pts
# Seven Lieder (Elgar)

Seven Lieder is a set of songs by the English composer Edward Elgar published together in 1907, by Ascherberg, Hopwood & Crew Ltd.
The set was published with German words 'by Ed. Sachs', though a wartime reprint of the songs published it as Edward Elgar's Album of Seven Songs with only the English words.
It was also published in different keys, for 'high' and 'low' voice.

## Songs

The songs are, with author of words, opus number (if any) and date of first publication:
* "Like to the Damask Rose", Simon Wastell (1892)
* "Queen Mary's Song", Alfred, Lord Tennyson (1889)
* "A Song of Autumn", Adam Lindsay Gordon (1892)
* "The Poet's Life", Ellen Burroughs (1892)
* "Through the Long Days", John Hay, Op. 16, No. 2 (1885)
* "Rondel", Henry Longfellow from a rondel by Froissart, Op. 16, No. 3 (1894)
* "The Shepherd's Song", Barry Pain, Op. 16 No. 1 (1892)

## Recordings

* Songs and Piano Music by Edward Elgar performed by Amanda Pitt (soprano), Mark Wilde (tenor), Peter Savidge (baritone) with David Owen Norris (on Elgar's 1844 Broadwood square piano).
# Robert Peters (RAF officer)

Air Vice Marshal Robert Geoffrey Peters, CB (born 22 August 1940) is a former Royal Air Force officer who served as Commandant of the RAF Staff College, Bracknell.

## RAF career

Educated at St Paul's School, London, Peters joined the Royal Air Force in 1961. He became Officer Commanding No. 10 Squadron in 1977, a staff officer at the Directorate of Forward Policy (RAF) in 1979 and Personal Staff Officer to the Deputy Supreme Allied Commander Europe in 1981. He went on to be Station Commander at RAF St Mawgan in 1984, air attaché in Washington, D.C. in 1987 and Commandant of the RAF Staff College, Bracknell in 1990 before retiring in 1993.
# Shibalapur

Shibalapur is a village in Sangamner taluka of the Ahmednagar district in Maharashtra, India. The village is known for its temples, particularly Bhairavnath Temple and Shahashibali Baba Temple. The village is 35 km from Shirdi, a town known as the home of Shri Sai Baba.

## Population

As per 2011 census, population of village is 3081, of which 1588 are males and 1493 are females.

## Economy

Main occupation of village resident is agriculture and allied works. The primary crops of the village are sugar cane, wheat and cotton.

## Transport
### Road

Shibalapur is connected to nearby villages Ashwi kd, Pimpri Louki, Shedgao and Panodi by village roads.

### Bus

Sangamner is the nearest Bus Stand to a village.

### Rail

Shrirampur (Belapur) is the nearest railway station to a village.

### Air

Shirdi Airport is the nearest airport to a village.
# St. Paul's United Methodist Church

St. Paul's United Methodist Church can refer to:
* St. Paul's United Methodist Church (Nyack, New York), listed on the U.S. National Register of Historic Places
* St. Paul's United Methodist Church (Houston, Texas)
* St. Paul's United Methodist Church (South Bend, Indiana), built by the Studebaker family
* St. Paul's United Methodist Church (Toledo, Ohio), formerly listed on the National Register of historic Places in Lucas County, Ohio
# Old Napa Register Building

The Old Napa Register Building, at 1202 1st St. in Napa, California, was built in 1905. It was listed on the National Register of Historic Places in 1982.
The Napa Register, founded in 1863 as a weekly, is Napa County's largest newspaper. It began daily publication in 1872. George Milton Francis became sole owner and publisher in 1876 and ran it until the 1920s when his son, George R. Francis, took over.
To erect the building, Francis bought the property at Coombs and First Streets in 1904, when it was relatively far from the downtown, and was reportedly advised that was a poor idea. However other businesses followed and the direction of Napa's commercial development switched from north–south along Main St. to east–west along First.
It was designed by architect L.M. Turton.
In early years, the second floor was leased as a dance studio.
# Tüllüce, Nurdağı

Tüllüce is a neighbourhood in the municipality and district of Nurdağı, Gaziantep Province, Turkey. Its population is 300 (2022).
# Tri-City Posse

The Tri-City Posse was an American minor league baseball team located in the Tri-Cities of Washington. The team was a founding member of the independent Western Baseball League, and was not affiliated with any Major League Baseball team. Its home stadium was Tri-City Stadium, now Gesa Stadium, in west Pasco.
The Posse was founded in 1995 and played their final season in 2000, having won the league title in 1999.
# Vahur

Vahur is a masculine Estonian given name and may refer to:
* Vahur Afanasjev (1979–2021), Estonian writer, filmmaker and musician
* Vahur Glaase (born 1960), Estonian politician
* Vahur Kersna (born 1962), Estonian journalist, radio and television personality and caricaturist
* Vahur Kraft (born 1961), Estonian banker
* Vahur Murulaid (born 1967), Estonian military lieutenant colonel
* Vahur Sova (born 1956), Estonian architect
* Vahur Vahtramäe (born 1976), Estonian footballer
* Vahur Väljamäe (born 1968), Estonian military soldier
As a surname:
# Solocma

The Solocma is a left tributary of the river Târnava Mică in Romania. It flows into the Târnava Mică in Ghindari. Its length is 16 km (9.9 mi) and its basin size is 35 km$^2$ (14 sq mi).
# Tommy and Betty

Tommy and Betty are two roles in rapper sword dance that represent the father and mother of the dancers. The Tommy and Betty often introduce the dance to the audience and seek to engage the audience. As with so many traditional dances in England and Europe, these characters are integral to the tradition, and their role was documented in all of the earliest published descriptions of the Northumbrian dance – descriptions which pre-date the introduction of the flexible rapper sword which so fundamentally changed the dance.
In early accounts of the sword dance in the Tyne Valley, the Tommy character was generally called "The Captain", and the Betty character called "Bessy". There were often additional characters, such as a doctor, who took part in a short play before the dance, similar to a Mummers play. The Tommy was either dressed up formally, with waistcoat, tailcoat and top hat, or in a grotesque garb of animal hides; occasionally, the Tommy was dressed in women's clothing, like the Betty. Much is made of their role and clothing in the context of pagan fertility rituals; it is certainly probable that the characters and play are older than the sword dance itself, which would appear to have been appended to the older play tradition found all over England.
In the modern dance, the Tommy introduces the dancers, usually with a traditional calling-on song, and then provides a running commentary and/or jokes to entertain the audience. The Tommy and Betty characters often join in with the rapper figures.
The best known Tommy and Betty characters are probably the Newcastle Kingsmen's characters, who have won the prize for best characters at several of the annual DERT competitions, including the national DERT 2004 and 2005 competitions.
The Newcastle Kingsmen's dance begins with the Tommy character singing the "Calling On Song". The Betty character then joins in halfway through the dance - this delayed entrance (which is unusual in rapper sword teams) allows time for the Tommy to work through a repertoire of jokes, before the appearance of the Betty. The Betty seeks to have a high profile entrance such as appearing through a trap door, on a bicycle or carrying a vacuum cleaner. This entrance can help re-engage the audience; this is particularly valuable in large arenas or at foreign festivals.
# Severinus (consul 461)

Flavius Severinus (fl. 456–461) was a Senator and a politician of the Western Roman Empire.

## Life

He probably was of Italian origin, as attested by an inscription, and held a noteworthy position during the 450s. F. Lotter has speculated that he may be identical to Saint Severinus of Noricum, whose life before he arrived in Noricum is unknown.
As told by Sidonius Apollinaris, Severinus held some offices under Emperor Avitus (455–456), then participated in Emperor Majorian's campaign in Gaul against the Visigoths (458). As Majorian wanted to please the aristocracy of both Italy and Gaul, he chose Severinus as consul for 461. At a banquet at Arelate, described by Sidonius, Severinus was the second-most important person, after the emperor.
# St. Patrick's Catholic Church (Loxley, Alabama)

St. Patrick's Catholic Church is a historic Roman Catholic church on the east side of Hwy. 90 in Loxley, Alabama, United States. It was built in 1924 and added to the National Register of Historic Places in 1988. The Loxley Public Library currently occupies the building.
Originally dedicated to Saint Raphael, it was one of four small mission churches in central Baldwin County built to serve Catholic immigrant workers, many from the Midwest. In 1974, St. Raphael, St. Gabriel in Summerdale, St. Matthew in Elsanor, and Infant Jesus of Prague in Silverhill were closed and the congregations merged into the new parish of St. Patrick, which is located centrally in Robertsdale, AL.
# Old Narragansett Church

Old Narragansett Church (also known as Old St. Paul's Church and St. Paul's Episcopal Church) is a historic Episcopal church located at 60 Church Lane in Wickford, Rhode Island, believed to be the oldest Episcopal church building in the Northeastern United States.

## History

The church congregation was founded in 1706 as St. Paul's Church and was established by the Society for the Propagation of the Gospel in Foreign Parts (SPG). The original congregation consisted of 17 landholder families. The Rev. Samuel Fayerweather closed the church in 1774 due to the American Revolutionary War, and in 1780 the SPG withdrew its support for Fayerweather because of his support for the American cause.
The church re-formed by the Rev. William Smith in 1787 after a thirteen-year hiatus. In 1799 the congregants voted to move the church to its present location in Wickford.
On April 11, 1756, the infant "son of Gilbert Stewart ye Snuff Grinder" was baptized in the church. The child later changed his name to Gilbert Stuart and grew up to be known as one of America's foremost portraitists.

## Building

The church building was constructed in 1707, about five miles southwest of Wickford, on what is now Pendar Road. At the time, this road was expected to become the main route between Boston and New York, but this never came to pass. After some time the neighborhood became scarcely populated, and in 1800 the church was disassembled and moved to its current location.
The church contains box pews, a balcony, and an organ built in 1680 by Bernard Smith, which is among the oldest organs still used in services in the United States. The church had a steeple attached to its western end from 1811 to 1846, but the steeple was not strong enough to hold the swinging bell, and it collapsed.
The Episcopal Diocese of Rhode Island currently owns the building, and it is administered by a trust which has representatives of the modern Saint Paul's Church in Wickford. A more modern church building, known as St. Paul's Church, was built nearby in 1847. Currently the congregation of St. Paul's meets in the Old Narragansett Church during the summer months.
The church was added to the National Register of Historic Places in 1973 and has a small churchyard cemetery.
* Old Narragansett Church in 2009
* Sign
# Quirosena

Quirosena is a genus of gastropods in the subfamily Hadrinae belonging to the family Camaenidae.

## Species

* Quirosena bougainvillei (L. Pfeiffer, 1860)
* Quirosena scorteus (Vanatta, 1930)
# Solomon Kuponu

Solomon Kuponu is an Anglican bishop in Nigeria: who is the current bishop of Ijebu-North, following Ezekiel Ayo Awosoga.
Kuponu was born in Badagry, was ordained in Lagos in September 1983, and consecrated bishop on September 11, 2005.