OpenLLM-France/wikimedia huggingface dataset:
# Equivariant differential form

In differential geometry, an equivariant differential form on a manifold M acted upon by a Lie group G is a polynomial map
    $\alpha :{\mathfrak {g}}\to \Omega ^{*}(M)$
from the Lie algebra ${\mathfrak {g}}=\operatorname {Lie} (G)$ to the space of differential forms on M that are equivariant; i.e.,
    $\alpha (\operatorname {Ad} (g)X)=g\alpha (X).$
In other words, an equivariant differential form is an invariant element of
    $\mathbb {C} [{\mathfrak {g}}]\otimes \Omega ^{*}(M)=\operatorname {Sym} ({\mathfrak {g}}^{*})\otimes \Omega ^{*}(M).$
For an equivariant differential form $\alpha$, the equivariant exterior derivative $d_{\mathfrak {g}}\alpha$ of $\alpha$ is defined by
    $(d_{\mathfrak {g}}\alpha )(X)=d(\alpha (X))-i_{X^{\#}}(\alpha (X))$
where d is the usual exterior derivative and $i_{X^{\#}}$ is the interior product by the fundamental vector field generated by X. It is easy to see $d_{\mathfrak {g}}\circ d_{\mathfrak {g}}=0$ (use the fact the Lie derivative of $\alpha (X)$ along $X^{\#}$ is zero) and one then puts
    $H_{G}^{*}(X)=\ker d_{\mathfrak {g}}/\operatorname {im} d_{\mathfrak {g}},$
which is called the equivariant cohomology of M (which coincides with the ordinary equivariant cohomology defined in terms of Borel construction.) The definition is due to H. Cartan. The notion has an application to the equivariant index theory.
$d_{\mathfrak {g}}$-closed or $d_{\mathfrak {g}}$-exact forms are called equivariantly closed or equivariantly exact.
The integral of an equivariantly closed form may be evaluated from its restriction to the fixed point by means of the localization formula.
# Miracle: A Celebration of New Life

Miracle: A Celebration of New Life is a book resulting from the collaboration of Anne Geddes with Canadian singer Céline Dion. The project is a combination of music and photos revolving around the themes of new life and babies.
The book was published in nine languages in 22 countries simultaneously, and remained in The New York Times bestseller list for six weeks. Miracle appeared on The Wall Street Journal nonfiction bestseller list, as well as the Publishers Weekly, Barnes & Noble, amazon.com Canada, and BookSense nonfiction hardcover bestseller lists and was #1 on the Wal-Mart.com bestseller list for two weeks. In Germany, Miracle debuted at #3 on the prestigious GEO magazine bestseller list for the month of December 2004, and remained within the top ten at #6 for the month of January 2005. It was #12 on the Livre Hebdo Fall 2004 illustrated books bestseller list in France. The same year the Miracle CD was released, where the inlay included just a few photographs from the same book. The album was a Billboard magazine Top 5 international bestseller in December 2004.

## Editions

* Hardcover Miracle: A Celebration of New Life (2004), Andrews McMeel Publishing; Book/CD/DVD edition (12 October 2004) ISBN 0-7407-4696-0
* Paperback Miracle: A Celebration of New Life (2005) Warner Bros. Publications (March 2005) ISBN 0-7579-3813-2
# Kuttari Dam

Kuttari Dam (Japanese: 屈足ダム) is a rockfill dam located in Hokkaido Prefecture in Japan. The dam is used for irrigation and power production. The catchment area of the dam is 940 km$^2$. The dam impounds about 49 ha of land when full and can store 3130 thousand cubic meters of water. The construction of the dam was started on 1983 and completed in 1988.
# Kuya language

Kuya (Kouya, Kowya) is a Kru language of Ivory Coast. The language was first put in written form in the 1980s.
# María Teresa Villagrasa Pérez

María Teresa Villagrasa Pérez (born 1 November 1957) is a Spanish schoolteacher and politician. She is currently a member of the Congress of Deputies for the Spanish Socialist Workers' Party (PSOE).
Villagrasa qualified as a primary school teacher and taught at a public primary school in her native Monzón (in the province of Huesca in Aragón, northern Spain), specializing in therapeutic pedagogy, hearing and language. She served on the Monzón municipal council from 1984 to 1999.
She was elected to the Congress of Deputies in the 2004 election for Huesca. In the 2008 election, she was number three on the PSOE list for Huesca, and was not elected. However, she returned to parliament only a few weeks later when Víctor Morlán, who had been head of the PSOE list in Huesca, resigned his seat to concentrate on his role as Secretary of State for Planning and Institutional Relations.
# Paolo Vincenzo Rovero

Paolo Vincenzo Rovero, B. or Paolo Vincenzo Roero or Paolo Vincenzo Roverio (died 25 October 1665) was a Roman Catholic prelate who served as Bishop of Asti (1655–1665).

## Biography

Paolo Vincenzo Rovero was born in Italy and ordained a priest in the Clerics Regular of Saint Paul. On 5 October 1655, he was appointed during the papacy of Pope Innocent X as Bishop of Asti. On 31 October 1655, he was consecrated bishop by Marcantonio Franciotti, Cardinal-Priest of Santa Maria della Pace. He served as Bishop of Asti until his death on 25 October 1665.
While bishop, he was the principal co-consecrator of Filiberto Alberto Bailly, Bishop of Aosta (1659); and Michael Angelus Broglia, Bishop of Vercelli (1663).
# Love Anyway

"Love Anyway" is a song from Scottish singer-songwriter Mike Scott, which was released as the lead single from his second solo album Still Burning. It was written by Mike Scott, and produced by Scott and Niko Bolas. "Love Anyway" reached No. 50 in the UK Singles Chart and remained on the charts for two weeks.

## Background

In his autobiography, Scott described the song as a "mid-paced rocker with a hustly Jim Keltner groove and a hazy, chiming guitar figure." It was considered by Chrysalis as the album's best contender for a potential hit. Speaking of its limited success as a single, he said: "Despite all its radio play the song [did not catch] on with the public."

## Music video

The song's music video was directed by Matthew Amos and produced by Anna Whiting.

## Critical reception

On its release, Wayne Moriarty of the Edmonton Journal considered the song the "best cut" on Still Burning. He described the track as "a big old slab of Waterboys-ish pomp and rock that will remind his devotees just how special it was when Mike and the lads were pioneering the big sound that carried the likes of U2 to fame and fortune." Kerry Gold of the Vancouver Sun noted the song's "multiple violins and lush orchestration".
In a review of Scott's 1997 concert at the Garage in London, James McNair of The Independent was critical of the song's live rendition: "It's not that "Love Anyway" is weak - far from it. The problem is that the soaring strings that are integral to the song's magic on CD are missing live and, at six minutes 42 seconds, the journey is just too long without them."
In his 2002 book The Encyclopedia of Contemporary Christian Music, Mark Allan Powell noted "the manner in which songs like "Love Anyway" bespeak an ethic unlike that which informs previous Waterboys' tunes about heartbreak and disappointment in love. Whereas previous songs express bitterness and even a design for vengeance, "Love Anyway" boasts "You made a fool out of me today / I'm breaking the rule / I love you anyway"." In 2011, Richard Curtis, in a piece for The Guardian on his affection for Scott and the Waterboys, commented: "If you're ever feeling low on energy and hope, pump up "This Is the Sea", "Don't Bang the Drum" or "Love Anyway" and life seems worth living again – worth living large."

## Charts

| Chart (1997) | Peak position |
| Scotland (OCC) | 31 |
| UK Singles (OCC) | 50 |
# Iwakuni Castle

Iwakuni Castle (岩国城, Iwakunijō) is a replica castle in Iwakuni, Yamaguchi, Japan. The nearby Kintai Bridge was originally a footbridge over the Nishiki River to the main gate of the castle.

## History

This castle was originally constructed by Kikkawa Hiroie from 1601 to 1608 as his own castle. Kikkawa was a retainer of a vassal of the Shōgun under the Mōri clan. However, this castle was dismantled as per the Ikkoku-ichijo (一国一城, literally, "One Castle Per Province") order established by the Tokugawa Shogunate in 1615.
After the destruction of the castle, Kikkawa used a part of the old castle as his residential office. The Kikkawa clan held this castle and Iwakuni Han, which was assessed at 30,000 (later 60,000) koku.
A replica of the castle tower built in 1962 now stands high on a hill above the Nishiki River and the Kintai Bridge. The castle was selected to be one of the 100 Great Castles of Japan by the Japan Castle Foundation in 2006.
# Kyoto Jazz Massive

Kyoto Jazz Massive is a Japanese musical project specialising in crossover jazz and electronic styles. The group was formed in 1992 and consists of brothers Shuya and Yoshihiro Okino. They have also included Hajime Yoshizawa, a piano producer, on a number of works. Although the brothers DJed in the late 1980s and were remixing and composing as far back as the early 1990s, they were largely popularised by the British Radio 1 DJ Gilles Peterson around 2001.

## Background

Brothers Shuya and Yoshihiro Okino, both DJs and remixers in Kyoto, formed the project in 1994. They released their debut, self-titled album, the same year. In 2015, to celebrate their 20-year anniversary, the duo put together a full jazz band, titled Kyoto Jazz Sextet. Their debut album, Mission, came out the same year.
Shuya Okino also runs a music venue in Shibuya, Tokyo, called the Room.

## Discography
### Kyoto Jazz Massive

Studio albums
* Kyoto Jazz Massive (1994)
* Spirit of the Sun (2002)
* Message from a New Dawn (2021)
EPs
* Eclipse / Silent Messenger (2000)
* Kyoto Jazz Massive (2001)
* Substream (2001)
* Mind Expansions (Maxi single, 2002)
Compilations
* Spellbinder – Compiled by Kyoto Jazz Massive (1992)
* Fueled for the Future – Mixed by Kyoto Jazz Massive (2000)
* Crossbreed – A Collection of Futuristic Fusion (2000)
* Crossbreed 2 – A Collection of Futuristic Fusion (2001)
* Shibuya Jazz Classics by Kyoto Jazz Massive (2002)
* Re KJM (2004)
* For KJM (2004)
* By KJM (2005)
* 10th Anniversary (2006)
* Essence of Especial (2006)
* Quiet Wave (2006)
* So Especial (2009)
* Urbanrhythm (2012)
* Abstract Jazz Journey (2013)
* KJM Plays – Contemporary Classics (2014)
* KJM Works – Remixes & Re-edits (2014)

### Kyoto Jazz Sextet

* Mission (2015)
* Unity (2017)
* Succession (2022)
# Prestes

Prestes is a Brazilian surname. Notable people called Prestes include:
* Vicentino Prestes de Almeida, (born 1900), Brazilian paleontologist
* Francisco Prestes Maia, Brazilian urban planner and mayor of São Paulo
* Anita Leocádia Prestes (born 1936), Brazilian historian
* Júlio Prestes (1882–1946), Brazilian poet, lawyer and politician
* Luís Carlos Prestes (1898–1990), Tenente, later communist militant and Brazilian politician
* Olga Benário Prestes (1908–1942), German-Brazilian communist militant
* Paulão Prestes (born 1988), Brazilian basketball player
* Paulo Roberto Prestes (born 1988), Brazilian football player
# Meeuw

Meeuw is a surname. Notable people with the surname include:
* Folkert Meeuw (born 1946), German swimmer, husband of Jutta and father of Helge
* Helge Meeuw (born 1984), German swimmer
* Jutta Meeuw (born 1954), German swimmer
# Miracle (2019 film)

Miracle (pt-BR: Milagre) is a 2019 documentary film with Wolfgang Smith, Olavo de Carvalho, and Raphael De Paola.
It was directed by Brazilian Mauro Ventura.
It is about a struggling mother who runs from church to church to find a miracle for her daughter who has a mysterious disability.
# Calisher

Calisher is a surname. Notable people with the surname include:
* Charles Calisher, American virologist
* Hortense Calisher (1911–2009), American writer
# Matt Puccia

Matt Puccia is the Competition Director for the Tricon Garage racing team and former crew chief and Director of Operations for Roush Fenway Keslowski Racing.

## Racing career

Puccia began working in Ken Schrader’s race shop in the mid-1990’s, and by 2004 had joined the Roush organization.
In 2006, Puccia was assigned to crew chief with the NASCAR Truck Series team, and three years later he became the crew chief for Paul Menard in the NASCAR Xfinity Series.
Puccia moved to Greg Biffle’s NASCAR Cup Series team mid-season in 2011 from Roush’s research and development organization. He was named the Sprint Cup Series' 2012 Crew Chief of the Year. Puccia called 269 Cup Series events as a crew chief for Roush and notched three career victories and three Playoff appearances. He was named Director of Operations for Roush Fenway Keslowski Racing in October 2021.
In 2023, Puccia, moved to Tricon Garage, where he serves as the organizations Competition Director.
# Matt Pryor (politician)

Matthew "Matt" Pryor (March 17, 1960 - June 25, 2023) was an American Republican Party politician. He was the mayor of the city of Troy in the U.S. state of Michigan from 2001 to 2004.

## Biography

Pryor grew up in Troy, graduating from Troy High School in 1978. In 1982 he received his B.S. in psychology from the University of Michigan. Upon graduation from college, Pryor began operating a landscape and construction company in Troy and the surrounding area. Pryor married Patti Turri on August 13, 2011.
Pryor also has been a noted co-host on Deepertruth Radio with Donald Hartley, known as the "Catholic Defender".
Pryor died on June 25, 2023.

## Political career
### City council

In 1993, Pryor was elected to the Troy City Council. He served on the council until 1999, including two years as Mayor pro-tem.

### Mayor of Troy

In 2001, he was elected Mayor of Troy.
In his 2004 re-election bid he was defeated by former councilmember Louise Schilling.

### County commissioner

In 2006 Pryor won the Republican primary for an Oakland County Commissioner representing a large portion of Troy and Clawson. He lost in a surprise defeat to Democrat Tim Burns in the November election. This portion of Oakland county traditionally votes Republican.

### State representative

Pryor is running for State Representative, with the Republican Primary on August 7, 2012.
# Ivan Roitt

Ivan Maurice Roitt (born 30 September 1927) is a British scientist. He was educated at King Edward's School, Birmingham and Balliol College, Oxford University. He was Head of the Department of Immunology at University College London from 1967 to 1992, and is currently Honorary Director of the Centre for Investigative & Diagnostic Oncology at Middlesex University, London.
In 1956, together with Deborah Doniach and Peter Campbell, he made the classic discovery of thyroglobulin autoantibodies in Hashimoto's thyroiditis which helped to open the whole concept of a relationship between autoimmunity and human disease. The work was extended to an intensive study of autoimmune phenomena in pernicious anemia and primary biliary cirrhosis.
In 1983 he was elected a Fellow of the Royal Society, and has been elected to Honorary Membership of the Royal College of Physicians and appointed Honorary Fellow of The Royal Society of Medicine. He was awarded the Gairdner Foundation International Award in 1964. He is an honorary member of the British Society for Immunology.
# Matteo Lappoli

Matteo Lappoli (1450–1504) was an Italian painter of the Renaissance period. He was born at Arezzo. He studied under Fra Bartolommeo. The greater part of his paintings have perished. There are still at Arezzo, in the refectory of the Bernardines, a St. Bernard, and for the church of Santa Maria, a St. Sebastian. His son, Giovanni Antonio Lappoli, was also a painter.
# Mau Summit

Mau Summit is a town in the Nakuru County of Kenya. At Google Maps, Mau Summit sits adjacent to Londiani in Kericho County.

## Location

Mau Summit is located at the junction of the Kisumu-Ahero-Kericho-Mau Summit Road (B1) and the Nakuru-Eldoret Road (A104). This is approximately 50 kilometres (31 mi), by road, northeast of Kericho, where the county headquarters are located. Mau Summit is approximately 62 kilometres (39 mi), northwest of Nakuru, the nearest large city, located in Nakuru County. This is approximately 114 kilometres (71 mi), south-east of the city of Eldoret in Uasin Gishu County, along the A104 Highway. The geographical coordinates of Mau Summit, Nakuru County, are 0°09'41.0"S, 35°41'12.0"E (Latitude:-0.161389; Latitude:35.686667). The town sits at an average elevation of above sea level.

## Overview

Mau Summit is a growing town with several primary schools, a secondary school and several motels. One of the major infrastructure developments in the town is the interchange between the Kisumu-Ahero-Kericho-Mau Summit Road (B1) and the Nairobi-Malaba Road (A104).
The town is an important transit point on the Northern Corridor as several transport routes along the corridor converge here. The Nairobi–Nakuru–Mau Summit Highway terminates in this town.
# Ramon Guiteras

Ramon Guiteras (August 17, 1858 – December 13, 1917) was a pioneering surgeon who specialized in urology and founded the American Urological Association.

## Early life and education

He was born in Bristol, Rhode Island, and graduated from Harvard College and Harvard Medical School. He was the cousin of Juan Guiteras, the noted Cuban doctor.
He became an officer in the United States Army National Guard, and served as the assistant surgeon for the Second Battery of Artillery, First Brigade of the New York Army National Guard, where he was promoted to first lieutenant on May 9, 1890. He was honorably discharged on July 26, 1893 as a captain. He also served 1881–1883 in the Boston Cadets.

## Later life and legacy

He died in New York City on December 13, 1917. He is buried in Juniper Hill Cemetery in Bristol. In his will he left $350,000 to build a school in Bristol to honor his mother, which resulted in Guiteras Memorial School (1925). He was inducted into the Rhode Island Heritage Hall of Fame in 2009. The American Urological Association has an annual award named after him for the individual who is deemed to have made outstanding contributions to the art and science of urology.

## Publications

* Guiteras, Ramon (1912). Urology: The Diseases of the Urinary Tract in Men and Women, a Book for Practitioners and Students. New York: D. Appleton and Company. ISBN 9781461254768. OCLC 493821057. Volume 1 and Volume 2 (of two).
# Iverley

Iverley is an area of the parish of Kinver in Staffordshire that has no road link to the rest of the parish. It is notable as being the most southerly point in Staffordshire.
Iverley lies in a corner of Staffordshire, with Churchill, Worcestershire to the south and Norton, Stourbridge, Pedmore, and Hagley to the east. The eastern boundary is approximately the Roman road from Droitwich to Greensforge.

## History

Iverley Hay was one of three hays (enclosed hunting areas) in Kinver Forest. It had 1560 trees in 1509. John Whorwood of Stourton obtained a lease from the crown in 1629, and presumably subsequently bought the freehold. It was included in Wortley Whorwood's sale of the manor of Kinver Thomas Foley, who settled it on his son Philip Foley. Philip granted a series of 200-year leases to men who would enclose what had become heathland and build farmhouses, the final such lease of what became Sugarloaf Farm being in 1712.
Despite its proximity to Stourbridge, Iverley remains an extremely rural area, where very little development has taken place. The area includes Stourbridge Tennis and Squash Club on Sugarloaf Lane.
# Ithome (moth)

Ithome is a genus of moths in the family Cosmopterigidae.

## Species

* Ithome anthraceuta (Meyrick, 1915)
* Ithome aquila Hodges, 1978
* Ithome cathidrota (Meyrick, 1915)
* Ithome chersota (Meyrick, 1915)
* Ithome concolorella (Chambers, 1875) (syn: Ithome unimaculella Chambers, 1875, Ithome unomaculella)
* Ithome curvipunctella (Walsingham, 1892) (syn: Eriphia quinquepunctata Forbes, 1931
* Ithome edax Hodges, 1962
* Ithome ferax Hodges, 1962
* Ithome fuscula Forbes, 1931
* Ithome iresiarcha (Meyrick, 1915)
* Ithome lassula Hodges, 1962
* Ithome pelasta (Meyrick, 1915)
* Ithome pernigrella (Forbes, 1931)
* Ithome pignerata (Meyrick, 1922)
* Ithome simulatrix Hodges, 1978
* Ithome tiaynai H.A. Vargas, 2004
* Ithome volcanica Landry, 2001

## Former species

* Ithome erransella is now Perimede erransella Chambers, 1874
# Ithome concolorella

Ithome concolorella, the kiawe flower moth, is a species of moth of the family Cosmopterigidae. It was first described by Vactor Tousey Chambers in 1875. It is found in the southern United States, including Texas, southern Arizona and Florida. It is an introduced species in Hawaii, where it has been recorded from Kauai, Oahu, Maui, Hawaii and Molokai.
The wingspan is about 8 mm.
The larvae are a pest of the flowers of Prosopis chilensis and Acacia farnesiana in Hawaii.

## Life history

The egg is inserted into the flower. Usually a light brown spot develops on the external surface of the bud at the site of oviposition. The eggs hatch in three to five days. The larvae has a brown head and the remainder of the body is white to pale yellow. The first-instar larva usually feeds on the pistil, then on the stamens. It remains in the bud in which the egg was laid throughout the first instar. The second-instar larva also usually remains in the initial bud but it may bore into an adjacent bud. Subsequently, as the larva develops, it bores into other florets, eating the inner parts of them. The damaged florets are joined together near the entrance holes. Often as many as 15 florets are joined together in a row, forming a tunnel in which a fully grown larva may be found.
The larva spins a silken cocoon within which it pupates. The pupa is almost white at first, turning brown soon after, and almost black when the adult is ready to emerge. When the larva is ready to pupate it probably comes out of the florets and drops to the ground to pupate.
The adult moth is usually nocturnal.
# Ithome (disambiguation)

Ithome is a mountain in Messenia, a regional unit of Greece

## Other locations

* Ithomi (disambiguation), two places in Greece
* Ithome (Thessaly), a town of ancient Thessaly, Greece
* Ithome, the ancient settlement over which Epaminondas built Ancient Messene

## Science

* Ithome (moth), a genus of moths
* ithome, a species of Appias (genus)

## Other

* Ithome (mythology)
# Calizas de Lychnus Formation

The Calizas de Lychnus Formation is a Maastrichtian geologic formation in northern central Spain. Dinosaur remains diagnostic to the genus level are among the fossils that have been recovered from the formation.

## Fossil content
### Dinosaurs

* cf. Euronychodon sp.
* cf. Paronychodon sp. (?Troodontidae indet.)
* ?Hypselosaurus sp.
* Nodosauridae indet.
* Rhabdodontidae indet.
* Titanosauridae indet.
* Dinosauria indet.
* Sauropoda indet.
* ?Dromaeosauridae indet.

#### Invertebrates

* Bithynella sp.
* Physa cf. patula

#### Fish

* Actinopterygii indet.

#### Other reptiles

* Acynodon lopezi
* Crocodylia indet.
* Eusuchia indet.
* Testudines indet.

#### Mammals

* Labes quintanillensis
* ?Palaeoryctidae indet.

#### Flora

* Typha sp.
* Arecaceae indet.
* Charophyta indet.
# JDW

JDW may refer to:
* Jane's Defence Weekly, a British magazine
* James D. Watson (born 1928), American molecular biologist
* John David Washington (born 1984), American actor and former football running back
* Wetherspoons, a pub chain