OpenLLM-France/wikimedia huggingface dataset:
# Schlessinger's theorem

In algebra, Schlessinger's theorem is a theorem in deformation theory introduced by Schlessinger (1968) that gives conditions for a functor of artinian local rings to be pro-representable, refining an earlier theorem of Grothendieck.

## Definitions

Λ is a complete Noetherian local ring with residue field k, and C is the category of local Artinian Λ-algebras (meaning in particular that as modules over Λ they are finitely generated and Artinian) with residue field k.
A small extension in C is a morphism Y→Z in C that is surjective with kernel a 1-dimensional vector space over k.
A functor is called representable if it is of the form h$_X$ where h$_X$(Y)=hom(X,Y) for some X, and is called pro-representable if it is of the form Y→lim hom(X$_i$,Y) for a filtered direct limit over i in some filtered ordered set.
A morphism of functors F→G from C to sets is called smooth if whenever Y→Z is an epimorphism of C, the map from F(Y) to F(Z)×$_{G(Z)}$G(Y) is surjective. This definition is closely related to the notion of a formally smooth morphism of schemes. If in addition the map between the tangent spaces of F and G is an isomorphism, then F is called a hull of G.

## Grothendieck's theorem

Grothendieck (1960, proposition 3.1) showed that a functor from the category C of Artinian algebras to sets is pro-representable if and only if it preserves all finite limits. This condition is equivalent to asking that the functor preserves pullbacks and the final object. In fact Grothendieck's theorem applies not only to the category C of Artinian algebras, but to any category with finite limits whose objects are Artinian.
By taking the projective limit of the pro-representable functor in the larger category of linearly topologized local rings, one obtains a complete linearly topologized local ring representing the functor.

## Schlessinger's representation theorem

One difficulty in applying Grothendieck's theorem is that it can be hard to check that a functor preserves all pullbacks. Schlessinger showed that it is sufficient to check that the functor preserves pullbacks of a special form, which is often easier to check. Schlessinger's theorem also gives conditions under which the functor has a hull, even if it is not representable.
Schessinger's theorem gives conditions for a set-valued functor F on C to be representable by a complete local Λ-algebra R with maximal ideal m such that R/m$^n$ is in C for all n.
Schlessinger's theorem states that a functor from C to sets with F(k) a 1-element set is representable by a complete Noetherian local algebra if it has the following properties, and has a hull if it has the first three properties:
* H1: The map F(Y×$_X$Z)→F(Y)×$_{F(X)}$F(Z) is surjective whenever Z→X is a small extension in C and Y→X is some morphism in C.
* H2: The map in H1 is a bijection whenever Z→X is the small extension k[x]/(x$^2$)→k.
* H3: The tangent space of F is a finite-dimensional vector space over k.
* H4: The map in H1 is a bijection whenever Y=Z is a small extension of X and the maps from Y and Z to X are the same.
# Riverdale Township, Buffalo County, Nebraska

Riverdale Township is one of twenty-six townships in Buffalo County, Nebraska, United States. The population was 1,939 at the 2000 census. A 2006 estimate placed the township's population at 1,908.
Most of the Village of Riverdale lies within the Township.
# Cybister tripunctatus

Cybister tripunctatus, is a species of predaceous diving beetle found in India, Andaman & Nicobar Islands, Sri Lanka, Afghanistan, Bangladesh, Myanmar, Nepal, Pakistan, Bhutan, China, Cyprus, Iran, Iraq, Japan, Kyrgyzstan, Mongolia, Russia, Syria, Tajikistan, Turkmenistan, Italy, Turkey, Uzbekistan and Europe.

## Description

Nominate subspecies has a typical length is about 28 mm. A carnivorous large beetle feeds on tadpoles, fish, and aquatic insects such as Culex spp., chironomids, and notonectid nymphs, damselfly larvae, Pantala flavescens. It also feeds on sympatric relatives such as Cybister brevis and Cybister chinensis.

## Subspecies

Six subspecies identified.
* Cybister tripunctatus africanus Laporte, 1835
* Cybister tripunctatus asiaticus Sharp, 1882
* Cybister tripunctatus lateralis (Fabricius, 1798)
* Cybister tripunctatus orientalis Gschwendtner, 1931
* Cybister tripunctatus temnenkii Aubé, 1838
* Cybister tripunctatus tripunctatus (Olivier, 1795)
The subspecies orientalis has a body length of about 24 to 29 mm. It is found in China, the Korean Peninsula, Taiwan, and Japan. Subspecies lateralis characterized with typical length of 21 to 30 mm and not fringed with any ciliae of hind margins of the four basal metatarsal segments. pronotum and elytra with lateral reddish margins, elytral lateral margins extending to and including the epipleurae. Subspecies africanus known to live in retro-dune ponds, mouths and residual pools of small streams, preferably on muddy substrates.
Subspecies asiaticus with following features: Head black, with greenish metallic iridescence. Pronotum black and shiny with greenish metallic iridescence. There is a yellowish lateral stripe on pronotum. Elytra blackish with greenish metallic iridescence with yellow lateral borders.

## Gallery

* in Thailand
* ssp. orientalis
# Clear Light (album)

Clear Light is the only studio album by the American psychedelic rock band Clear Light, released in September 1967, by Elektra Records. The album was a moderate success.
Clear Light was released in September 1967 and peaked at number 126 on the Billboard pop albums chart. It combined elements of folk, rock, psychedelic, and classical music. It is an AMG music pick. While the album was not a success at the time, it was considered as creative, coherent and competent. The album featured the unique characteristic of including two leading drummers on their tracks.

## Recording

Recording commenced in April 1967 at Elektra Recording Studio in Los Angeles. The majority of the material was completed during these sessions, but the developments were postponed to replace Robbie Robison on guitar. Instead of a new guitarist, the band recruited keyboardist Ralph Schuckett, and, following a month of concerts, the band returned to recording in Sunset Sound Recorders Studios. The studios had just recently upgraded from a 4-track to an 8-track. A highlight of the recording sessions was the band's psychedelic interpretation of the Tom Paxton composition "Mr. Blue".

## Release and reception

Professional ratings :
| Review scores ||
| Source | Rating |
| AllMusic | |
| The Village Voice | D− |
In his 1976 review for The Village Voice, Robert Christgau gave Clear Light a low rating of "D−" to an A+ to F scale. Matthew Greenwald of AllMusic was more positive to the record, calling it a "very good slice of Los Angeles psychedelia."

## Track listing

The CD reissue of the album includes a bonus track, "She's Ready to Be Free", which was the B-side of the group's first single.

## Personnel

Musicians
* Cliff De Young – vocals
* Bob Seal – guitar, vocals
* Douglas Lubahn – bass
* Ralph Schuckett – keyboards
* Dallas Taylor – drums
* Michael Ney – drums
* Robbie Robison – guru
* Lee Housekeeper – seer and overseer
Technical
* Paul A. Rothchild – production
* Bruce Botnick – engineer
* Jac Holzman – production supervisor
* Gordon Anderson – executive producer
# Fiber-optic Improved Next-generation Doppler Search for Exo-Earths

The Fiber-Optic Improved Next-Generation Doppler Search for Exo-Earths (FINDS Exo-Earths) is a radial-velocity spectrograph developed by Debra Fischer. It is installed on the 3 meter telescope in Lick Observatory in Mount Hamilton. It has been in operation since 2009 and is being used to verify exoplanet candidates found by Kepler.
At Yale University, Debra Fischer and Julien Spronck, along with Geoff Marcy of the University of California, Berkeley, set out to improve existing spectrograph technologies. Spurred by a $45,000 grant from The Planetary Society, the team built FINDS, a spectrograph add-on device.
# Cymindis asiabadensis

Cymindis asiabadensis is a species of ground beetle in the subfamily Harpalinae. It was described by Jedlicka in 1961.
# Kuri Kinton

Kuri Kinton (功里金団) is a side-scrolling beat 'em up arcade game published by Taito. Players control a Chinese policeman who must dispatch numerous enemies while progressing through the game's levels. The object of the game is to rescue a senior policeman and his daughter, both of whom have been kidnapped by a gang and spirited away to an underground hideout.
The game received a mixed response from games critics.

## Gameplay

Players control a Chinese policeman who has been tasked with infiltrating an underground base to rescue a high-ranking police officer and his daughter, who have been kidnapped by a gang. Play consists of kicking and punching numerous enemies, sweeps and flying kicks can also be used. The game begins in an underground corridor populated by armored soldiers and fighters who throw shurikens. The player must follow the on-screen arrow which points them in the right direction as they proceed deeper into the caves and encounter greater numbers of more deadly enemies. A martial arts expert boss guards the exit of each level and quickly defeat the player-character if not fought carefully.
The player has one life in the game, represented by a health bar which drains as enemies land attacks on the player-character. Should the health bar drain completely, the game is over and a plump golden cherub will rise from the player-character's body. Should the player pay for another credit and continue the game, the cherub will dive back inside the player-character's body, who will in turn jumps to his feet with a shocked expression.

## Release

The original arcade game was not released on any computer or console systems of the era. Kuri Kinton was eventually released in 2006 as part of the video game compilation Taito Legends 2, for Windows and the PlayStation 2 and Xbox games consoles and for PlayStation Portable on the compilation Taito Legends Power Up. August 13, 2021 saw a digital release of Kuri Kinton on the Nintendo Switch through the Arcade Archives series courtesies of Hamster (a company that purchased Nichibutsu and UPL).

## Reception

Kuri Kinton has received a mixed response from reviewers and critics. Retrogames' staff member writing in a 2010 feature described the levels as bland, criticised the game's bosses for being effectively the same character with different colored clothes. Despite this, the reviewer stated "..there's something quite fun about the game that makes it difficult to put down..". Kung-Fu Master was suggested as a more readily accessible game with similar gameplay. ACE's Andy Smith was more critical when writing in 1988. He stated "Kuri Kinton's a dull game, the graphics aren't anything special and the game style's very old hat by today's standards." Computer and Video Games' 1989 review was more positive, the reviewer praised the game's "..large sprites and well drawn graphics" and stated "Kuri Kinton packs a hell of a punch and is far more playable than The Last Apostle."
As part of the Taito Legends 2 compilation the game was described as "..fairly standard side-scrolling brawler fodder.." by Eurogamer's Kristan Reed.
# Epidapus

Epidapus is a genus of fungus gnats in the family Sciaridae.

## Species

* Epidapus Haliday in Walker, 1851
** E. alnicola (Tuomikoski, 1957)
** E. antegracilis Mohrig & Dimitrova, 1993
** E. atomarius (De Geer, 1778)
** E. bipalpatus Mohrig, 1982
** E. brachyflagellatus Mohrig & Röschmann, 1996
** E. detriticola (Kratochvil, 1936)
** E. fagicola Hondru, 1968
** E. gracilis (Walker, 1848)
** E. ignotus (Lengersdorf, 1942)
** E. lucifuga (Mohrig, 1970)
** E. macrohalteratus Mohrig & Menzel, 1992
** E. microthorax (Börner, 1903)
** E. montivivus (Mohrig, 1970)
** E. postdetriticola Mohrig & Röschmann, 1996
** E. primulus Rudzinski, 2000
** E. schillei (Börner, 1903)
** E. spinosulus Mohrig & Blasco-Zumeta, 1996
** E. subdetriticola Mohrig & Röschmann, 1996
** E. subgracilis Menzel & Mohrig, 2006
** E. subspinosulus Rudzinski & Baumjohann, 2009
* Pseudoaptanogyna Vimmer, 1926
** E. abieticola Frey, 1948
** E. absconditus (Vimmer, 1926)
** E. anomalus Mohrig & Dimitrova, 1993
** E. bispinulosus Mohrig & Kauschke, 1994
** E. canicattii Mohrig & Kauschke, 1994
** E. carpaticus (Mohrig & Mamaev, 1985)
** E. debilis Menzel, 2003
** E. echinatum Mohrig & Kozanek, 1992
** E. gracillimus Mohrig, 1994
** E. ignavus (Lengersdorf, 1941)
# WKVG

WKVG may refer to:
* WKVG (FM), a radio station (94.5 FM) licensed to serve Greenville, South Carolina, United States
* WKVG (AM), a defunct radio station (1000 AM) formerly licensed to serve Jenkins, Kentucky, United States
* WJKB, a radio station (105.1 FM) licensed to serve Sheffield, Pennsylvania, United States, which held the call sign WKVG in 2023
# Robbie Millar

Robbie Millar (26 April 1967 – 13 August 2005) was a head chef and restaurateur from Ballycarry in County Antrim, Northern Ireland.
Millar started his career at restaurants in Corfu, Zurich and London before returning to Northern Ireland to work in Paul Rankin's Roscoff restaurant in Belfast. While at Roscoff he met his future wife Shirley, who managed the restaurant. In 1994 he opened Shanks Restaurant at the Blackwood golf centre, part of the Clandeboye Estate in Bangor.
In 1996 the restaurant was awarded a Michelin Star, an award it held for ten years. Other awards include the Egon Ronay Guide Newcomer of the Year in 1995 and three Automobile Association rosettes. Millar was columnist for the Belfast Telegraph and made regular television appearances as a judge on the BBC's MasterChef programme with Loyd Grossman.
Influenced by Rankin, Shanks had a Californian style. The interior of the restaurant was designed by Terence Conran.
In August 2005 Millar was killed in a car accident on the Ballysallagh Road near Holywood, County Down. His Maserati left the road, hitting a fence and killing him instantly. The road is an accident blackspot, with two other deaths in April 2006. His funeral was attended by other prominent local chefs Paul & Jeanne Rankin and Michael Deane. On 31 May 2006 the coroner's report into Millar's death was released. It found that he died of multiple injuries, mainly caused by the fence he crashed into. A road accident expert stated that if the fence had met new safety standards, Millar might have survived the crash. While his blood alcohol level was found to be marginally over the legal limit, the coroner did not find this to be a significant cause.
Millar is interred in Ballycarry New Cemetery, alongside his brother Brian, who died in 1982.
At the time of his death he had three young children, between one and six years old.
# Eois cedon

Eois cedon is a moth in the family Geometridae first described by Herbert Druce in 1892. It is found in Guatemala.
# Edward Higginson

Edward Higginson (9 January 1807 – 12 February 1880) was an English Unitarian minister and author.

## Life

He was born at Heaton Norris, Lancashire, on 9 January 1807. His father, Edward Higginson the elder (b. 20 March 1781, d. 24 May 1832), was a Unitarian minister and schoolmaster at Stockport (1801–10) and Derby (1811–31), who married as his first wife Sarah Marshall (d. 10 August 1827, aged 45) of Loughborough, Leicestershire. He was educated in his father's school, and in September 1823 entered Manchester College, York, as a divinity student.
In August 1828 Higginson settled as minister of Bowl Alley Lane Chapel, Kingston upon Hull. From 1829 he also taught a school. He removed in 1846 to Westgate Chapel, Wakefield, West Riding, taking his school with him. In 1858 he became minister of High Street Chapel, Swansea, Glamorganshire, a position which he resigned because of failing health in 1876. While at Swansea he assisted in the tutorial work of Carmarthen College, and at the end of 1875 was offered the principalship. From 1877 to 1879 he was president of the Royal Institute of South Wales.
Higginson was a conservative among Unitarian scholars, his theological position being similar to that of Samuel Bache, who married his sister. He died at Swansea on 12 February 1880.

## Works

Higginson published, with sermons and tracts:
* Orthodoxy and Unbelief, &c., 1832.
* The Sacrifice of Christ, &c., Hull, 1833; 2nd edition, 1848.
* Christ Imitable, or, The Religious Value of Christ's Proper Humanity, 1837.
* The Spirit of the Bible, &c., 1853–5, 2 vols.; 2nd edition, 1863.
* Astro-Theology, &c., 1855. This was a contribution to the debate of the time on cosmic pluralism, involving also David Brewster, Baden Powell, Thomas Collins Simon, and William Whewell.
* Six Essays on Inspiration, &c., 1856.
* The Morals of Belief, &c., 1860.
* An English grammar, specially intended for classical schools, London: Longman, Green. 1864
* A Short Memoir of the Rev. R. B. Aspland, &c., 1869.
* A Catechism without Questions, &c. [1869?].
* Ecce Messias, 1871.
* With his wife he published The Fine Arts in Italy, 1859, a translation from the French of Athanase Josué Coquerel.
Higginson's preaching was not popular, but his Spirit of the Bible was widely read. He contributed theological and critical articles to the Christian Reformer, edited by his friend Robert Brook Aspland; in 1857 and 1858 he wrote anonymously there a series of semi-autobiographical sketches, under the title A Minister's Retrospect; from 1876 he contributed to the Christian Life edited by Robert Spears.

## Family

Higginson married first, on 25 December 1839, Lydia (d. 8 Feb. 1856, aged 42), youngest daughter of Flower Humble of Newcastle upon Tyne, and adopted by Samuel Shore; secondly, on 5 July 1857, Emily, daughter of George Thomas of Carmarthen, and left children.
# Clements Island

Clements Island (65°56′S 66°0′W﻿ / ﻿65.933°S 66.000°W﻿ / -65.933; -66.000) is an island 1 nautical mile (2 km) long lying immediately south of Rabot Island in the Biscoe Islands. The French Antarctic Expedition, 1903–05, under Jean-Baptiste Charcot, gave the name Ile Clements Markham for Sir Clements Markham, President of the Royal Geographical Society, 1893–1905. Charcot applied this name to an incompletely defined island northeast of Renaud Island, in what is now the Pitt Islands. The recommended application, however, is based upon the map of the British Graham Land Expedition, 1934–37, which provided a more reliable chart of the area. The first part of the name, rather than the last, has been retained to distinguish this feature from Markham Island in Terra Nova Bay, Victoria Land.
# Marco de Paula

Marco de Paula (born 22 April 1977 in Sevilla) is a Spanish actor. He studied with Ofelia Angélica, Juan Carlos Corazza, Adam Black y Babdo Piernas. He has acted in theater, film and television, advertising has also participated in more than 40 campaigns. Theatrically a member of the theater group La Gaviota, having performed various works.

## Filmography

Television :
| Year | Title | Role | Notes |
| 2000 | Nada es para siempre | Alberto | 8 episodes |
| 2001 | Arrayán | | |
| 2002-2003 | 20tantos | Isaías | 4 episodes |
| 2005-2007 | Hospital Central | Dr. Roberto Cuevas | Main cast; 44 episodes |
| 2007-2008 | Planta 25 | Miguel Valdemares / Miguel | Main cast; 64 episodes |
| 2010 | Valientes | Pablo Soto | |
| 2011-2012 | Esperanza del corazón | Leonardo | |
| 2012 | Rosa diamante | Gerardo Altamirano Jr. "Junior" | Co-lead role |
| 2013 | Nueva vida | | "Linda" (Season 1, Episode 3) |
| 2013 | Prohibido amar | Rafael Hernández Cosio | Lead role |
| 2016 | Mujeres de negro | Sandro | |
# Venera 2MV-1 No.1

Venera 2MV-1 No.1, also known as Sputnik 19 in the West, was a Soviet spacecraft, which was launched in 1962 as part of the Venera programme.
Due to a problem with its upper stage it failed to leave low Earth orbit, and reentered the atmosphere a few days later. It was the first of two Venera 2MV-1 spacecraft, both of which failed to leave Earth orbit.

## Launch

Venera 2MV-1 No.1 was launched at 02:18:45 UTC on 25 August 1962, atop a Molniya 8K78 carrier rocket flying from Site 1/5 at the Baikonur Cosmodrome. The first three stages of the rocket operated nominally, injecting the fourth stage and payload into a low Earth orbit. The fourth stage then coasted until one hour and fifty seconds after launch, when it fired its ullage motors in preparation for ignition. One of the ullage motors failed to fire, and when the main engine ignited for a four-minute burn to place the spacecraft into heliocentric orbit, the stage began to tumble out of control. Forty-five seconds later, its engine cut off, leaving the spacecraft stranded in Earth orbit. It reentered the atmosphere on 28 August 1962, three days after it had been launched.

## Spacecraft designation

The designations Sputnik 23, and later Sputnik 19 was used by the United States Naval Space Command to identify the spacecraft in its Satellite Situation Summary documents, since the Soviet Union did not release the internal designations of its spacecraft at that time, and had not assigned it an official name due to its failure to depart geocentric orbit.
# Elder Smith Road

Elder Smith Road is an east-west arterial road in northern Adelaide, South Australia, Australia. It opened in 2007 to connect Main North Road to Salisbury Highway, including a new bridge crossing the Gawler railway line and Adelaide–Port Augusta railway line. It lies entirely in or forms the border of the suburb of Mawson Lakes. It extends west past Salisbury Highway to provide access to a housing estate in Mawson Lakes on the south side and an industrial area of Greenfields on the north side. At Main North Road, it connects to the junction where Maxwell Road continues as the border between Para Hills West and Pooraka.
The Mawson Connector Project built Elder Smith Road in two stages, and also the new Mawson Lakes railway station below the bridge over the railway lines. Construction began in January 2005 and it was completed in September 2007 for a total cost of A$44.3 million.

## Intersections

The entire road is in the City of Salisbury local government area.
| Location | km | mi | Destinations | Notes |
| Pooraka, Parafield, Mawson Lakes | 0.0 | 0.0 | Main North Road (A20) | Continues as Maxwell Road |
| Mawson Lakes | 1.4 | 0.87 | Main Street and The Drive | traffic lights |
| Mawson Lakes | 1.6 | 0.99 | Central Link / Metro Parade | Access to Mawson Lakes railway station, left turns only |
| Mawson Lakes | 1.9 | 1.2 | Gawler railway line, Adelaide–Port Augusta railway line, Metro Parade | Gawler railway line, Adelaide–Port Augusta railway line, Metro Parade |
| Mawson Lakes | 2.1 | 1.3 | Cascades Drive | North side, no right turn from Cascades Drive |
| Mawson Lakes | 2.2 | 1.4 | Elder Drive | South side, no right turn from Elder Drive |
| Mawson Lakes | 2.4 | 1.5 | Salisbury Highway (A9) | Traffic lights |
| Mawson Lakes | 2.7 | 1.7 | Sanctuary Drive | South side |
| Mawson Lakes | 2.8 | 1.7 | Hudson Road | North side |
| Mawson Lakes | 3.0 | 1.9 | St Elias Street / Belfree Drive | |
| 1.000 mi = 1.609 km; 1.000 km = 0.621 mi Incomplete access |||||
# Dolichobela

Dolichobela is a monotypic moth genus of the family Crambidae described by Alfred Jefferis Turner in 1932. It contains only one species, Dolichobela celidograpta, described in the same publication, which is found in Australia, where it has been recorded from Queensland.
The larvae have been recorded feeding on the fruit of Capparis mitchellii.