OpenLLM-France/wikimedia huggingface dataset:
# Contracted Bianchi identities

In general relativity and tensor calculus, the contracted Bianchi identities are:
    $\nabla _{\rho }{R^{\rho }}_{\mu }={1 \over 2}\nabla _{\mu }R$
where ${R^{\rho }}_{\mu }$ is the Ricci tensor, $R$ the scalar curvature, and $\nabla _{\rho }$ indicates covariant differentiation.
These identities are named after Luigi Bianchi, although they had been already derived by Aurel Voss in 1880. In the Einstein field equations, the contracted Bianchi identity ensures consistency with the vanishing divergence of the matter stress–energy tensor.

## Proof

Start with the Bianchi identity
    $R_{abmn;\ell }+R_{ab\ell m;n}+R_{abn\ell ;m}=0.$
Contract both sides of the above equation with a pair of metric tensors:
    $g^{bn}g^{am}(R_{abmn;\ell }+R_{ab\ell m;n}+R_{abn\ell ;m})=0,$
    $g^{bn}(R^{m}_{bmn;\ell }-R^{m}_{bm\ell ;n}+R^{m}_{bn\ell ;m})=0,$
    $g^{bn}(R_{bn;\ell }-R_{b\ell ;n}-R_{b}^{m}_{n\ell ;m})=0,$
    $R^{n}_{n;\ell }-R^{n}_{\ell ;n}-R^{nm}_{n\ell ;m}=0.$
The first term on the left contracts to yield a Ricci scalar, while the third term contracts to yield a mixed Ricci tensor,
    $R_{;\ell }-R^{n}_{\ell ;n}-R^{m}_{\ell ;m}=0.$
The last two terms are the same (changing dummy index n to m) and can be combined into a single term which shall be moved to the right,
    $R_{;\ell }=2R^{m}_{\ell ;m},$
which is the same as
    $\nabla _{m}R^{m}_{\ell }={1 \over 2}\nabla _{\ell }R.$
Swapping the index labels l and m on the left side yields
    $\nabla _{\ell }R^{\ell }_{m}={1 \over 2}\nabla _{m}R.$
# Kazutoshi Nagahama

Kazutoshi Nagahama (長浜 一年, Nagahama Kazutoshi, born April 29, 1969) was a Japanese cross-country skier who competed from 1993 to 1998. Competing in two Winter Olympics, he earned his best career and individual finishes at Nagano in 1998 with a seventh in the 4 x 10 km relay and 33rd in the 50 km event, respectively.
Nagahama's best finish at the FIS Nordic World Ski Championships was 33rd in the 10 km + 15 km combined pursuit at Thunder Bay, Ontario in 1995. His best World Cup finish was 31st twice at various distances in 1995.
Nagahama's best individual career finish was fourth in a 30 km FIS Race event in Finland in 1996.
# Woody (singer)

Kim Sang-woo (Korean: 김상우; born February 2, 1992), also known by the stage name Woody (Korean: 우디), is a South Korean singer and songwriter. He debuted in 2011 as a member of the boyband N-Train.

## Personal life

Kim's older brother is professional baseball player Kim Sang-su, shortstop for the Samsung Lions.

## Discography
### Single albums

| Title | Details |
| When You Alone | Released: April 7, 2024 Label: Golden Moon Formats: digital download, streaming |

### Singles

| Title | Year | Peak chart positions | Peak chart positions | Album |
| Title | Year | KOR | KOR Billb. | Album |
| "Yahae" (야해) | 2017 | — | — | Non-album singles |
| "I'm In You Out" with High Top of Bigflo | 2017 | — | — | Non-album singles |
| "Fire Up" (이 노래가 클럽에서 나온다면) | 2019 | 1 | 1 | Non-album singles |
| "Natural" (대충 입고 나와) | 2019 | 15 | 44 | Non-album singles |
| "Nothing's Gonna Be Changed" (지구는 멸망하지 않아) | 2020 | 84 | — | Non-album singles |
| "Say I Love You" | 2022 | 26 | — | Re:Wind 4Men Vol.04 |
| "Nostalgia" | 2023 | 13 | — | Non-album singles |
| "Flower in the Desert" (사막에서 꽃을 피우듯) | 2023 | 10 | — | Non-album singles |
| "You and I Both" (너, 나 우리 둘이) | 2024 | — | — | Non-album singles |
| "When You Alone" (혹시 세상에 혼자 남겨진 것 같다면) | 2024 | 44 | — | When You Alone |
| "Pinky Promise" (새끼손가락 걸고) | 2024 | 173 | — | Non-album single |
| "—" denotes release did not chart. |||||
# Calytrix birdii

Calytrix birdii is a species of flowering plant in the myrtle family Myrtaceae and is endemic to inland areas of Western Australia. It is a shrub with egg-shaped to more or less round leaves and clusters of purple flowers with 45 to 55 reddish-purple stamens in several rows.

## Description

Calytrix birdii is a glabrous shrub that typically grows to a height of 30–60 cm (12–24 in). Its leaves are egg-shaped with the narrower end towards the base, to more or less round, 1–3.5 mm (0.039–0.138 in) long and 0.75–1.3 mm (0.030–0.051 in) wide on a petiole 0.3–0.75 mm (0.012–0.030 in) long. There is a stipule up to 0.3 mm (0.012 in) long at the base of the petiole. The flowers are arranged singly or in small clusters. The floral tube has 10 ribs and tightly surrounds the style that is 8–11.5 mm (0.31–0.45 in) long. The sepals are joined at the base with more or less round blades 1.5–2 mm (0.059–0.079 in) long and 2.0–2.4 mm (0.079–0.094 in) wide with an awn up to 14 mm (0.55 in) long. The petals are purple, egg-shaped, 6.75–8.5 mm (0.266–0.335 in) long and 3.5–4.25 mm (0.138–0.167 in) wide, and there are 45 to 55 reddish-purple stamens in 4 rows. Flowering occurs from September to November.

## Taxonomy

This species was first formally described by Ferdinand von Mueller who gave it the name Calycothrix birdii in his Fragmenta Phytographiae Australiae from specimens collected by Jess Young. In 1893, Benjamin Daydon Jackson transferred the species to the genus Calytrix as C. birdii in Index Kewensis. The specific epithet (birdii) honours Samuel Dougan Bird, a lecturer in medicine at the University of Melbourne.

## Distribution and habitat

Calytrix birdii grows in sand on sandplains in open spinifex heath and mallees in the Coolgardie and Murchison bioregions of inland Western Australia.
# Wieniawa coat of arms

Wieniawa is a Polish coat of arms. It was used by several noble, in Polish language szlachta families in the times of medieval Poland and the Polish–Lithuanian Commonwealth.

## History

The Wieniawa coat of arms originated from Moravia in the 11th century. First record is from 1382 (a seal).

## Blazon

English blazon: "Or, an ox head sable with a nose ring of the first in chief."

## Notable bearers

Notable bearers of this coat of arms include:
* Jerzy Białłozor
* Bolesław Wieniawa-Długoszowski
* House of Leszczyński
** Stanisław I Leszczyński
** Maria Leszczyńska
** Bogusław Leszczyński
** Rafał Leszczyński
* Jan Długosz, historian
* Denis Zubrytsky (1777–1862), Ukrainian historian

## Gallery

Variations
* Coat of arms of King Stanisław Leszczyński
* Coat of arms of Maria Leszczyńska as Queen of France
* Coat of arms of the Leszczyński family
* Ryc Coat of Arms (odm.)
* Wieniawa II (odm.)
* Wieniawa III (odm.)
* Coat of arms of the Szczepanowski family
* Coat of arms of Kołaczkowski family from Silesia
* Coat of arms of Marklowski family
Cities and Villages
* Coat of arms of Kalisz Voivodship
* Coat of arms of Kalisz Voivodship in Congress Kingdom
* Coat of arms of Lodz Voivodship in the Second Republic of Poland
* Coat of arms of powiat Kalisz
* Coat of arms of Leszno
* Coat of arms of Dynów
* Coat of arms of powiat Leszno
* Coat of arms of gmina Mykanów
* Coat of arms of gmina Przygodzice
* Coat of arms of gmina Czermin
* Coat of arms of gmina Popów
* Coat of arms of gmina Gołuchów
* Coat of arms of Czermno (1745)
* Design of the coat of arms Przysucha (1847)
Other
* Wieniawa coat of arms in Baranow-Sandomierski castle
* Wieniawa coat of arms in Leżajsk monastery.
* Łańcut Castle
* Dlugosz House in Wiślica
# Pestikovo

Pestikovo (Russian: Пестиково) is a rural locality (a village) in Botanovskoye Rural Settlement, Mezhdurechensky District, Vologda Oblast, Russia. The population was 2 as of 2002.

## Geography

Pestikovo is located 37 km southwest of Shuyskoye (the district's administrative centre) by road. Gavrilkovo is the nearest rural locality.
# Respectable Street

"Respectable Street" is a song written by Andy Partridge of XTC, released as the opening track on their 1980 album Black Sea. According to Partridge, the song is about English streets and "the hypocrisy of living in a so-called respectable neighborhood. It's all talk behind twitching curtains. It's all Alan Bennett land." In another interview Partridge reveals that Respectable Street was based on a real street Bowood Road in Swindon, which was diagonally opposite the flat above a shop on Kingshill Road where he was living at the time he wrote it. Discounting the Canada-only "Love at First Sight", it was the fourth and last single issued from the LP. BBC Radio banned the song because of its references to abortion and a "Sony Entertainment Centre".

## Legacy

Music journalist John Harris highlighted "Respectable Street" as "one of the most evocative items in Partridge's oeuvre." In 1996, critic Jack Rabid praised its "sardonic crack" and wrote "am I the only one who's noticed that super-fans Blur have ripped this song off three times already???!!!!"
In 1982, it was the only song XTC performed at a televised gig simulcast in Paris, which became one of the last live performances of their career. Partridge experienced a panic attack mid-performance and walked off the stage.
It is the first XTC recording in which Dave Gregory contributed his keyboard playing.

## Personnel

XTC
* Terry Chambers
* Dave Gregory
* Colin Moulding
* Andy Partridge

## Variations

* Original album version - Black Sea (1980)
* Single remix (1981) - Rag and Bone Buffet: Rare Cuts and Leftovers
* Live versions
** BBC Radio 1 Live in Concert (1982, recorded November 1980)
** Urgh! A Music War (1981)
* Home demo, live studio demo, and instrumental versions released on 2017 expanded edition of Black Sea
# Nancy González (politician)

Nancy Susana González (born 10 February 1961) is an Argentine politician, who was a National Senator for Chubut from 2015 to 2021 and a National Deputy from 2006 to 2013. She belongs to the Justicialist Party.

## Early and personal life

González was born on 10 February 1961 in Puerto Madryn, Chubut. She worked as the director of a nursing home in her hometown between 1991 and 2003. She is married to Armando Santiago Bazán and has two children. González is Roman Catholic.

## Political career

In 2003, González was appointed Secretary of Social Action of Puerto Madryn by then-mayor Carlos Eliceche. In the 2005 legislative election, González was the first alternate candidate in the Front for Victory list to Argentine Chamber of Deputies. When deputy Aldo Marconetto, who had run in the FPV list alongside González, resigned from his seat in 2006, González took office as deputy in his stead. She was elected in her own right in the 2009 legislative election, as the second candidate in the Front for Victory list. González formed part of the parliamentary commissions on General Legislation, Elderly People, Social Action and Public Health, Regional Economies and Development, Families, Women and Childhood, and Population and Human Development.
In the 2015 general election, González was the second candidate in the FPV list to the National Senate, behind Juan Mario Pais. With 42.51% of the vote, the FPV was the most voted alliance in the province, and both Pais and González were elected for the majority as per the limited voting system used for the Argentine upper house. González was sworn in as senator on 3 December 2015. González formed part of the Front for Victory bloc, remaining in it even after most of its members broke away and formed the Argentina Federal bloc following the 2017 legislative election. After the 2019 general election, she formed part of the Frente de Todos bloc alongside nearly all other peronist senators: this meant all three senators from Chubut for the 2015–2021 term (González, Pais, and Luenzo) all formed part of the same bloc.
As senator, González formed part of the parliamentary commissions on Women's Affairs, Education and Culture, Labour and Social Prevision, Population and Human Development, Health, and Constitutional Affairs, and presided the commission on National Defense. She was a vocal supporter of the legalization of abortion in Argentina, voting in favour the two Voluntary Interruption of Pregnancy bill debated by the Argentine Congress in 2018 and 2020.
González did not stand for re-election in 2021, and her term expired on 10 December 2021.
# Kenji Kaneyasu

Kenji Kaneyasu (金康 健司, Kaneyasu Kenji, born 18 October 1954) is a Japanese rower. He competed in the men's eight event at the 1976 Summer Olympics.
# Liu Yan Wai

Liu Yan Wai (born 9 July 1989) is a Hong Kong fencer. She competed in the women's individual foil event at the 2018 Asian Games, winning the bronze medal.
# Chestnut Residence

89 Chestnut Residence is a university residence operated by the University of Toronto, opposite the downtown Toronto DoubleTree hotel (formerly the Metropolitan Hotel) at 89 Chestnut Street. It was converted from the Colony Hotel in 2004 and turned into a student residence to accommodate the incoming double cohort in 2003 and 2004. It is located in downtown Toronto.

## History

The building was originally constructed by the firm Armstrong and Molesworth as a Motel 11, now a discontinued brand of motels. When it opened as the Holiday Inn Downtown in 1972, it was the fourth largest hotel in the city, with 749 rooms. It cost some $18 million to build and was built on the site of many small buildings of what was then the centre of Toronto's First Chinatown. The hotel was purchased by Hong Kong investor Sally Aw for $73 million in 1989 and renamed the Colony Hotel. The hotel was later partly owned by Aw's listed company Sing Tao Holdings, via Singdeer Joint Ventures. Aw sold Singtao Holdings in 1999. The university purchased the hotel for C$67.6 million in 2003 from Global China Group Holdings (the new owner of ex-Sing Tao Holdings' media business) and another owner of the joint venture, at the height of a downturn in Toronto's hotel industry.
Prior to buying the hotel, the University of Toronto had rented space to house 400 students at the Primrose Hotel at Jarvis and Carlton.
It has nearly 1000 residents from the University of Toronto and the Ontario College of Art and Design University. Until September 2008, it also accepted new applicants attending George Brown College and Toronto Metropolitan University.

## Features

It has a conference centre and a revolving room on the 27th floor (opened as La Ronde restaurant in 1972 and is now a student lounge called The Lookout). It is the most expensive residence of all University of Toronto residences and has a reputation for providing luxurious accommodation and food. The university retained the hotel chef after purchasing it. Chestnut is also home to a larger number of international students than any other residence.
The Chestnut Residence Council is the student governing body for social, athletic and community affairs of the Residence. It organizes activities such as: the annual Chestnut semi-formal, coffee houses and open mic nights, ski and snowboarding trips, and intramural sports tournaments.
# Penyevo

Penyevo (Russian: Пеньево) is a rural locality (a village) in Staroselskoye Rural Settlement, Mezhdurechensky District, Vologda Oblast, Russia. The population was 1 as of 2002.

## Geography

Penyevo is located 28 km southwest of Shuyskoye (the district's administrative centre) by road. Svyatogorye is the nearest rural locality.
# Dickson Smith

William Dickson Smith (2 February 1918 – 25 January 2002) was a Scottish amateur golfer. He was known as Dick or Dickson. He tied for 5th place in the 1957 Open Championship and played in the 1959 Walker Cup.

## Amateur wins

* 1958 Scottish Amateur

## Results in major championships

| Tournament | 1957 | 1958 | 1959 | 1960 | 1961 | 1962 | 1963 | 1964 | 1965 | 1966 |
| The Open Championship | T5 LA | | CUT | T40 | | | | | | CUT |
Note: Smith only played in The Open Championship.
LA = low amateur CUT = missed the half-way cut "T" indicates a tie for a place

## Team appearances

* Walker Cup (representing Great Britain & Ireland): 1959
* St Andrews Trophy (representing Great Britain & Ireland): 1958 (winners)
# María Inés Pilatti Vergara

María Inés Patricia Elizabeth Pilatti Vergara (born 2 August 1958) is an Argentine politician, currently serving as a National Senator for Chaco Province since 2013. She previously served as a National Deputy from 2009 to 2013, elected in Chaco as well, and as a member of the Chaco Province Chamber of Deputies during two non-consecutive terms from 1997 to 2001 and from 2005 to 2009.

## Early life and education

Pilatti Vergara was born on 2 August 1958 in Resistencia, Chaco Province. She finished high school at the Escuela de Comercio N°5 in Resistencia and studied law at the National University of the Northeast Faculty of Law and Social and Political Sciences.

## Political career

Pilatti Vergara's political activism began in the Justicialist Party. She was elected to the Chaco Province Chamber of Deputies in 1997, serving until 2001, and then again in 2005, serving until 2009. As a provincial deputy, Pilatti Vergara was one of the most prominent opponents of then-Vice Governor of Chaco, Miguel Pibernus, who was forced to resign and arrested in 2001 on embezzlement charges. At the 2009 legislative elections, Pilatti Vergara was elected to the Argentine Chamber of Deputies in the Chaco Merece Más ("Chaco Deserves More"; the provincial name of the Front for Victory) list; she was sworn in as National Deputy on 10 December 2009, and served until the expiration of her term on 10 December 2013.

### National Senator

At the 2013 legislative elections, Pilatti Vergara was the second candidate in the Front for Victory (FPV) list to the Argentine Senate in Chaco, and was comfortably elected as the list received 60.62% of the vote. She was sworn in on 28 November 2013, with her mandate beginning on 10 December 2013.
In 2016, Pilatti Vergara introduced legislation to aimed at protecting breast-feeding women; her bill would have mandated the creation of "public lactaries" and declared 12 July the "National Day for the Free Exercise of Maternal Breast-feeding". She also supported a 2019 initiative to introduce a travesti trans work quota in the Argentine national government; although the initiative was not debated in the Senate, a similar initiative was established by a decree issued by President Alberto Fernández in 2020.
She was re-elected for a second six-year term in 2019 as the second candidate in the Frente de Todos list in Chaco.
Pilatti Vergara voted consistently in favour of the Voluntary Interruption of Pregnancy bill, which legalized abortion in Argentina; the first such bill was struck down by her fellow senators on 8 August 2018, while the second was passed by the Senate on 30 December 2020.
She has been a member of the Council of Magistracy of the Nation in representation of the Senate since 6 February 2020.

## Personal life

Pilatti Vergara resides in Resistencia; she is married and has two sons. In a 2020 interview, Pilatti Vergara stated that it was her son who convinced her to vote in favor of the legalization of abortion.
# Kenji Kazama

Kenji Kazama is a Japanese (martial artist). He played the henchman Spider who fought Fred Williamson in the 1973 action film That Man Bolt and he played Yokohama a mean and brutal Japanese official who fought Jhoon Rhee in the 1973 martial arts classic When Taekwondo Strikes. In 1974 he played the part of Senkaku Kan in the Sonny Chiba cult classic The Street Fighter.

## Background

Ken Kazama was born Minoru Tsutsui in Aichi Prefecture, Japan in 1943. He won the Karate Championship in 1961 and won a Shorinji Kempo Championship in 1963. During the mid-1960s, he established at Shorinji Kempo Nagoya Chuo-doin school. He also established Shorinji Kempo Clubs at the Aichi Gakuin University and the Chukyo Joshi Tanki University. In the late 1960s, he won a middleweight kickboxing championship in South Korea. Also with Shinichi Chiba he founded the Japan Action Club (JAC).

## Career

In When Taekwondo Strikes, a 1973 martial arts film that featured Jhoon Rhee, Angela Mao Ying, Carter Wong, Anne Winton and Sammo Hung, Kazama was cast as Yokohama. He had one of climactic fights with the hero's taking him on. Kazama's role of Spider in That Man Bolt was that of a long time adversary to the main character, Bolt (Played by Fred Williamson) who takes him on in a fight. Following his role in the 1973 film, he was appearing the following year in Sonny Chiba's film, The Street Fighter. He also had another role in the film as action director. In the sequel to the film, Return of the Street Fighter, he was credited as kick boxing director. In 1976 he had the lead role in a film called Karate From Shaolin Temple which also featured Henry Yu Yung, Fung Ngai, Henry Yu Yung and Bill Lake.
Also in the 70s, Kazama recorded a song, "Forever Bruce Lee" and released on a 45 RPM single, Tam YT-1081.

## Film Work

Film roles as actor :
| Title | Role | Director | Year | Notes # |
| Gangster Cop aka Yakuza deka | Kazamaki | Yukio Noda | 1970 | as Ken Kazama |
| When Taekwondo Strikes aka Tai quan zhen jiu zhou | Yokohama | Feng Huang | 1973 | as Kenji Kazama |
| That Man Bolt | Spider | David Lowell Rich, Henry Levin | 1974 | as Ken Kazama |
| The Street Fighter aka Gekitotsu! Satsujin ken | Senkaku Kan | Shigehiro Ozawa | 1974 | as Ken Kazama |
| Karate from Shaolin Temple aka Shorinji Kempo: Musashi Hong Kong ni arawaru (少林寺拳法　ムサシ香港に現わる) | Musashi Yamanaka | Hideo Nanbu | 1976 | Lead role as Ken Kazama |
| Angel Guts aka Jokôsei: tenshi no harawata | Yakuza | Chûsei Sone | 1978 | as Ken Kazama |
| Sûpâ gun redei Wani Bunsho | Shimokawa | Chûsei Sone | 1979 | as Ken Kazama |
| Station akaEki | | Yasuo Furuhata | 1981 | as Ken Kazama |
| Kill Devil | | Yuichi Onuma | 2004 | as Ken Kazama |
Television shows :
| Title | Episode | Role | Director | Year | Notes # |
| Daitokai - Tatakai no hibi | "Episode #2.52" | | Jun Iwasaki | 1978 | |
Other work :
| Title | Role | Director | Year |
| The Streetfighter | Kickboxing direction | Shigehiro Ozawa | 1974 |
| Return of the Street Fighter | Kickboxing direction | Shigehiro Ozawa | 1974 |
| The Real Miyagi | Himself | Kevin Derek | 2015 |
# Gustavo Pérez

Gustavo Pérez (5 August 1935 – 22 April 2012) was a Uruguayan rower. He competed at the 1960 Summer Olympics and the 1964 Summer Olympics.
# Gorgab, Isfahan

Gorgab (Persian: گرگاب) is a city in the Central District of Shahinshahr County, Isfahan province, Iran. It served as the administrative center for Borkhar-e Gharbi Rural District until its capital was transferred to the village of Jahadabad.

## Demographics
### Population

At the time of the 2006 National Census, Gorgab's population was 4,859 in 1,252 households, when it was a village in Borkhar-e Gharbi Rural District. The following census in 2011 counted 6,359 people in 1,903 households. by which time Gorgab had been elevated to the status of a city. The 2016 census measured the population of the city as 9,690 people in 2,920 households.
# DYNU-FM

DYNU (107.5 FM), broadcasting as 107.5 Win Radio, is a radio station owned by Mabuhay Broadcasting System and operated by ZimZam Management, Inc. The station's studio and transmitter are located at the 4/F Ludo and Luym Bldg., Plaridel St., Cebu City. The station operates 24/7.

## History

The station began operations on February 1, 1992, under the ownership of Progressive Broadcasting Corporation as a relay station of DWNU in Manila. In 2005, it began airing local programming. In February 2011, NU 107 quietly signed off and went off the air for a week. On March 4, 2011, the station returned on air as 107.5 Win Radio. A year later, NU 107 Cebu revived its operations online.
In 2016, after House Bill No. 5982 was passed into law, Mabuhay Broadcasting System acquired the provincial stations of PBC.
# Kenji Nakamura (sailor)

Kenji Nakamura (中村 健次, Nakamura Kenji, born 18 February 1964) is a Japanese sailor. He competed at the 1988, 1996, 2000 and the 2004 Summer Olympics.
# Sergio Iesi

Sergio Iesi (8 April 1912 – 6 February 1986) was a Uruguayan foil fencer. He competed at the 1948 and 1952 Summer Olympics.
# Analyte

An analyte, component (in clinical chemistry), titrand (in titrations), or chemical species is a substance or chemical constituent that is of interest in an analytical procedure. The remainder of the sample is called the matrix. The procedure of analysis measures the analyte's chemical or physical properties, thus establishing its identity or concentration in the sample.