OpenLLM-France/wikimedia huggingface dataset:
# Black box group

Algebraic structure → Group theory Group theory :
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Infinite dimensional Lie group O(∞)SU(∞)Sp(∞) :
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vte :
In computational group theory, a black box group (black-box group) is a group G whose elements are encoded by bit strings of length N, and group operations are performed by an oracle (the "black box"). These operations include:
* taking a product g·h of elements g and h,
* taking an inverse g$^{−1}$ of element g,
* deciding whether g = 1.
This class is defined to include both the permutation groups and the matrix groups. The upper bound on the order of G given by |G| ≤ 2$^N$ shows that G is finite.

## Applications

The black box groups were introduced by Babai and Szemerédi in 1984. They were used as a formalism for (constructive) group recognition and property testing. Notable algorithms include the Babai's algorithm for finding random group elements, the Product Replacement Algorithm, and testing group commutativity.
Many early algorithms in CGT, such as the Schreier–Sims algorithm, require a permutation representation of a group and thus are not black box. Many other algorithms require finding element orders. Since there are efficient ways of finding the order of an element in a permutation group or in a matrix group (a method for the latter is described by Celler and Leedham-Green in 1997), a common recourse is to assume that the black box group is equipped with a further oracle for determining element orders.
# 29th meridian west

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The meridian 29° west of Greenwich is a line of longitude that extends from the North Pole across the Arctic Ocean, Greenland, the Atlantic Ocean, the Southern Ocean, and Antarctica to the South Pole.
The 29th meridian west forms a great circle with the 151st meridian east.

## From Pole to Pole

Starting at the North Pole and heading south to the South Pole, the 29th meridian west passes through:
    Co-ordinates Country, territory or sea Notes 90°0′N 29°0′W﻿ / ﻿90.000°N 29.000°W﻿ / 90.000; -29.000﻿ (Arctic Ocean) Arctic Ocean 83°33′N 29°0′W﻿ / ﻿83.550°N 29.000°W﻿ / 83.550; -29.000﻿ (Bliss Bay) Bliss Bay 83°30′N 29°0′W﻿ / ﻿83.500°N 29.000°W﻿ / 83.500; -29.000﻿ (Greenland)  Greenland Johannes V. Jensen Land (Northern Peary Land) 83°10′N 29°0′W﻿ / ﻿83.167°N 29.000°W﻿ / 83.167; -29.000﻿ (Frederick E. Hyde Fjord) Frederick E. Hyde Fjord 83°7′N 29°0′W﻿ / ﻿83.117°N 29.000°W﻿ / 83.117; -29.000﻿ (Greenland)  Greenland Melville Land (Southern Peary Land) 82°9′N 29°0′W﻿ / ﻿82.150°N 29.000°W﻿ / 82.150; -29.000﻿ (Independence Fjord) Independence Fjord 81°59′N 29°0′W﻿ / ﻿81.983°N 29.000°W﻿ / 81.983; -29.000﻿ (Greenland)  Greenland 68°21′N 29°0′W﻿ / ﻿68.350°N 29.000°W﻿ / 68.350; -29.000﻿ (Atlantic Ocean) Atlantic Ocean Passing just west of Faial Island, Azores, Portugal (at 38°35′N 28°50′W﻿ / ﻿38.583°N 28.833°W﻿ / 38.583; -28.833﻿ (Faial Island)) Passing just east of the Saint Peter and Saint Paul Archipelago in the Intertropical Convergence Zone, Brazil (at 00°55′N 29°20′W﻿ / ﻿0.917°N 29.333°W﻿ / 0.917; -29.333﻿ (Saint Peter and Saint Paul Archipelago)) Passing just west of the island of Martim Vaz, Brazil (at 20°28′S 28°51′W﻿ / ﻿20.467°S 28.850°W﻿ / -20.467; -28.850﻿ (Martim Vaz)) Passing just east of the island of Trindade, Brazil (at 20°31′S 29°18′W﻿ / ﻿20.517°S 29.300°W﻿ / -20.517; -29.300﻿ (Trindade)) 60°0′S 29°0′W﻿ / ﻿60.000°S 29.000°W﻿ / -60.000; -29.000﻿ (Southern Ocean) Southern Ocean 76°21′S 29°0′W﻿ / ﻿76.350°S 29.000°W﻿ / -76.350; -29.000﻿ (Antarctica) Antarctica Claimed by both Argentina (Argentine Antarctica) and United Kingdom (British Antarctic Territory)
# Experimental School of Thessaloniki

The Experimental School of Thessaloniki also known as Experimental School of Aristotle University of Thessaloniki, is a public experimental school in Thessaloniki, Greece.

## History
### Foundation

It was founded in 1929 in close ties with the Aristotle University of Thessaloniki. The building of the school was designed by the architect Dimitris Pikionis. It was established in 1934. Alexandros Delmouzos served as its first supervisor, and Vasilios Tatakis, a well known scientist, was the first Head of School. The school started functioning in a turbid political atmosphere and the beginning was difficult. The presence of Delmouzos to the school brought the principles of educational demoticism. This explains why they selected staff that had premium qualifications and supported the demotic language. Αs a working method Delmouzos suggested to his colleagues the method of school work of Dewey. The Decroly methods also became very popular to the first classes of the primary school.

### Difficult Times

During the World War II, the school stopped operating while in the years of the Nazi occupation of Greece, it ran under very difficult circumstances. On the 20th of September 1941 Ioannis Xirotiris took office as school director of the PSPTH and remains the longest serving director of this school (1941–1962). During the difficult years of the Nazi Occupation and the Greek Civil War that followed, Xirotiris protected many faculty members from prosecution.
During the Papadopoulos dictatorship, the direction of the school was assumed by Triantaphyllos Papatheodoridis. He was unfamiliar and indifferent to the ideas and values that the school represented, therefore his ideology and attitude suited the zeitgeist of his era. He took over in 1967 and in the three years that he remained in office, he tried to eradicate the traditions of the school.
During the same period, some school graduates were accused by the military Junta and prosecuted to the court martial. Some of them, when they were summoned to testify in their defense, mentioned the Experimental School, showing how proud they were for their education there.

## Notable teachers
### Supervisors

* Delmouzos Alexandros (1934–1938)
* Theodorakopoulos Ioannis (temporary 1935)
* Vogiazidis Ioannis (1938–1946)
* Vourveris Konstantinos (1946–1947)
* Gieros Xaralampos (1948–1958)
* Tatakis Vasileios (1958–1963, 1964–1965)
* Mpakalakis Georgios (1964)
* Mixailidis Nouaros Andreas (1965 - )

### Head Teachers

* Tatakis Vasileios (1934–1938)
* Plagiannakos Ioannis (1938–1940)
* Xiritiris Ioannis (1941–1962)
* Karasotos Dimitrios (1963–1964)
* Mixalopoulos Georgios (1964–1966)
* Papatheodoridis Triantafullos (1968–1971)
* Kamaroudis Evaggelos (1971–1976)
* Xristoforidis Xristoforos (1976–1981)
* Drizis Aristotelis (1981–1982)
* Seferiadou Anthoula (1982 - )

### Temporary Head Teachers

* Kalogeras Vasileios (1962–1963)
* Papaioannou Miltiadis (1964)
* Mixalopoulos Georgios (1966–1967)
* Griogoriadis Eleutherios (1967)
* Pauleas Sarantos (1967)
* Ampatzidis Ioannis (1971)
# Glengarry, Prince Edward Island

Glengarry is a settlement in western Prince Edward Island.
46°45′50″N 64°18′38″W﻿ / ﻿46.7638°N 64.3106°W﻿ / 46.7638; -64.3106
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# NWA Southern Heavyweight Championship

The NWA Southern Heavyweight Championship was a regional professional wrestling title which may have had several versions, including:
* NWA Florida Southern Heavyweight Championship, used in Championship Wrestling from Florida and NWA Florida
* NWA Southern Heavyweight Championship (Georgia version), used in Georgia Championship Wrestling
* AWA Southern Heavyweight Championship, used in the Continental Wrestling Association and other associations
* NWA Southern Heavyweight Championship (Tennessee version), used in Southern Championship Wrestling
* NWA Southern Heavyweight Championship (SAW) used in NWA Southern All-Star Wrestling
# CKSO

CKSO may refer to:
* CJRQ-FM, a radio station (92.7 FM) licensed to Sudbury, Ontario, Canada, which held the call sign CKSO from 1935 to 1990
* CIGM, a radio station (790 AM) licensed to Sudbury, Ontario, Canada, which held the call sign CKSO-FM from 1965 to 1977
* CICI-TV, a television station (channel 5) licensed to Sudbury, Ontario, Canada, which held the call sign CKSO-TV from 1953 to 1980
* CKSO-FM, a defunct radio station (101.1 FM) licensed to Sudbury, Ontario, Canada
# Hohneck (Vosges)

The Hohneck is, at 1,363 m (4,472 ft) the third highest summit of the Vosges Mountains (after Grand Ballon [1,424 m; 4,672 ft] and Storkenkopf [1,366 m; 4,482 ft]) and the highest point of Lorraine. On its summit stands a mountain hut, clearly visible in the distance. Nearby the mountain's top is located the ski resort of La Bresse Hohneck.

## Geography

The mountain is divided between the French municipalities of La Bresse (dep. of Vosges), Metzeral (department of Haut-Rhin) and Stosswihr (department of Haut-Rhin). A 1,289 m (4,229 ft) mountain, located 1.5 km (1 mi) east of the Hohneck, is named Petit Hohneck (in English Little Hohneck).
On a clear day from the Hohneck summit is possible to spot not just the entire Vosges range but also the Black Forest, the Jura, a good part of the Swiss Alps and, in the distance, the Mont Blanc.

## History

The Hohneck area has been up to the 19th century the main connection route between Gérardmer and Munster, before the opening of the col de la Schlucht road. Therefore, not faraway from the summit have been found ruins dating back to the Thirty Years' War and re-used during Napoleon's military champaigns.
A tramway line from Gérardmer to the Hohneck operated between July 25, 1897, and August 28, 1939. From the Alsace side of the mountain, a rack railway reached the Hohneck from Munster passing through the col de la Schlucht between 1907 and 1914.

## Access to the summit

The well known Route des Crêtes (French for road of the peaks) transits not faraway from the top of the mountain, which can be reached by car following a small asphalted branch.
# Atiyah–Bott formula

In algebraic geometry, the Atiyah–Bott formula says the cohomology ring
    $\operatorname {H} ^{*}(\operatorname {Bun} _{G}(X),\mathbb {Q} _{l})$
of the moduli stack of principal bundles is a free graded-commutative algebra on certain homogeneous generators. The original work of Michael Atiyah and Raoul Bott concerned the integral cohomology ring of $\operatorname {Bun} _{G}(X)$.
# Hallucinating Anxiety

Hallucinating Anxiety is the debut album by the Norwegian death metal band Cadaver. It was released in 1990 through Necrosis, a sub-label of Earache Records run by members of popular grindcore/death metal band Carcass. The LP and MC were the only versions to be released individually (and with all tracks), whereas the only CD version was a split with Carnage's only album, Dark Recollections, which omitted the track "Hypertrophyan" due to time constraints.
The track listing on all versions was incorrect, as it failed to list the track "Erosive Fester" (track 3), and mistakenly listed "Tuba" and "Ignominious Eczema" as separate tracks (1 and 2), when they are in fact joined together as track 1. This in turn means that what is listed as track 2 and 3 ("Ignominious Eczema" and "Corrosive Delirium", respectively) is also incorrect; tracks 2 and 3 are really "Corrosive Delirium" and "Erosive Fester".

## Track listing

* "Tuba (Intro) / Ignominious Eczema" – 5:09
* "Corrosive Delirium" – 2:56
* "Erosive Fester" – 2:42
* "Hallucinating Anxiety" – 3:44
* "Cannibalistic Dissection" – 2:46
* "Hypertrophyan" (not on CD version) – 3:18
* "Petrifyed Faces" – 2:46
* "Innominate" – 3:32
* "Twisted Collapse" – 2:19
* "Abnormal Deformity" – 3:18
* "Maelstrom" – 3:29
* "Mental Abherrance" – 2:32
* "Bodily Trauma" – 4:10
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# Black bottom pie

Black bottom pie is a type of pie originating in the United States that features a layer of chocolate pastry cream or pudding, the "black bottom", topped with whipped cream or meringue. The single crust is pre-baked and of variable composition, but a graham cracker crust is common.

## Origin

Black bottom pie is thought by some to be of Southern origin, the "black bottom" representing the dark, swampy lowlands along the Mississippi River; other sources have identified an origin in Louisiana or Oklahoma City in the early 1940s. Its invention has been claimed by Monroe Boston Strause of Los Angeles. Strause, who was known as the "Pie King", was the inventor of the chiffon pie and the graham cracker crust.
# Billy Stokes

Billy Stokes was an Australian professional rugby league footballer of the 1940s. He played 5 seasons in the New South Wales Rugby League Premiership - all for South Sydney. He was also the father of former 1960s rugby league player Bill Stokes (who also played for South Sydney).

## Playing career

Stokes made his professional rugby league debut in round 12 of 1940 versus Newtown. He kicked a goal, but his side lost 8-37. The following round, he kicked two goals in Souths' 24-22 win over Canterbury-Bankstown. In Round 14, Stokes scored the first try of his career in a win against North Sydney. He also kicked three goals that game, totaling nine points. He finished the season with 1 try and 6 goals (15 points) in 3 appearances.
Stokes did not play much of 1941, only making two appearances. He did not score that season, playing in double-digit losses to Balmain Tigers (Round 13) and the Western Suburbs Magpies (Round 14).
He played nine games in 1942, scoring a try in the second round against Western Suburbs. Stokes also made an appearance in the City Cup, though Souths lost to the St. George Dragons 24-10. Newtown won the City Cup that year.
Stokes did not play the following season. He opened the 1944 season however, with a 5-goal performance in a win against St. George. This time, he played fullback for the whole season - a position he played throughout 1942. He kicked 5 more goals by the season's end, finishing with 10 goals in 5 appearances.
1945 turned out to be Stokes' final season. He played fullback for the first half of the season, before transitioning to five-eighth in his final games. Round 14 - the last round of the season was Stokes' final game. His team was against Balmain, losing 12-29.
He finished his career with a respectable 2 tries and 21 goals in 26 appearances.
# 1986 World's Strongest Man

The 1986 World's Strongest Man was the tenth edition of World's Strongest Man and was won by Jón Páll Sigmarsson from Iceland. It was his second title after finishing second the previous year. 1983 and 1985 champion Geoff Capes from the United Kingdom finished second and, Ab Wolders from the Netherlands finished third. The contest was held at Nice, France.

## Final results

| # | Name< | Nationality | 1.Truck Pull | 2.Sack Race | 3.Stones of Strength | 4.Car Turnover | 5.Champagne Hold | 6.Tug of War | 7.Boat Lift | 8.Barrel Loading | Pts |
| 1 | Jon Pall Sigmarsson | Iceland | 7 | 8 | 8 | 6 | 7 | 7 | 8 | 8 | 59 |
| 2 | Geoff Capes | United Kingdom | 8 | 7 | 7 | 8 | 3 | 8 | 7 | 7 | 55 |
| 3 | Ab Wolders | Netherlands | 4 | 5 | 5 | 7 | 4 | 2 | 5.5 | 5 | 37.5 |
| 4 | Dan Markovic | Canada | 3 | 4 | 3 | 5 | 5 | 4 | 4 | 6 | 34 |
| 5 | Jean-Pierre Brulois | France | 2 | 3 | 2 | 4 | 6 | 5 | 5.5 | 4 | 31.5 |
| 6 | Klaus Wallas | Austria | 5 | 2 | 4 | 3 | 2 | 6 | DNF | DNS | 22 |
| 7 | Ilkka Nummisto | Finland | 6 | 6 | 6 | DNF | 1 | DNS | DNS | DNS | 19 (injured) |
| 8 | Rick "Grizzly" Brown | United States | 1 | 1 | 1 | DNF | 8 | 3 | DNS | DNS | 14 (injured) |
# Mahendrasinh Baraiya

Baraiya Mahendrasinh Kacharsinh is an Indian politician and he was elected as a member of Gujarat Legislative Assembly in 2012 from Prantij Assembly constituency as a member of Indian National Congress. He joined Bharatiya Janata Party in 2022.
# Hohne (disambiguation)

Hohne may refer to one of the following:
* Hohne, a municipality in Germany
* Bergen-Hohne, a military training ground and garrison
# Atlantic Marine Ecozone

The Atlantic Marine Ecozone, as defined by the Commission for Environmental Cooperation (CEC), is a Canadian marine ecozone that stretches from the Davis Strait to encompass the Grand Banks, to the Avalon Peninsula on the shores of Newfoundland. It includes all of the southern coast of Newfoundland, all the eastern coast of Nova Scotia, and portions of the Bay of Fundy and the Gulf of Maine.

## Geography

Most of the waters in this zone are thousands of metres deep, except the Grand Banks, which average about 150 metres before the sea floor drops precipitously beyond the continental shelf.

## Climate

Exceptionally dense fog is common where the cold Labrador Current merges with the warm Gulf Stream. By late winter, thick icebergs traverse the northern regions of this ecozone, from Greenland to Newfoundland. They have been feared by mariners for centuries, as well as being responsible for one of the deadliest disasters in maritime history, the sinking of the RMS Titanic in 1912. This resulted in the zone's colloquial name "Iceberg Alley". Tidal ranges throughout the zone are moderate, typically a few metres. The exception is the Bay of Fundy, whose famous tides may top 15 metres.
Surface water temperatures in August may reach 10 °C in the north, and up to 23 °C in the south.
In spring, phytoplankton biomass increases significantly, becoming a rich source of food within the ecozone.

## Fishing

The waters of this zone have been overfished, and in 1992 the Government of Canada banned cod fishing, though there are no restrictions on other species. Shellfish species, including lobster, shrimp, and crab, have become an increasing component of the fishing industry, which has been in decline.

## Oil extraction

Since the late 1990s, the Hibernia oil field has become an important economic resource for Newfoundland and Labrador, and the Terra Nova oil field is increasingly important to Nova Scotia. Further oil and gas exploration is being conducted on the Scotian Shelf.
# 2013 Challenger of Dallas – Doubles

Chris Eaton and Dominic Inglot were the defending champions but decided not to participate. Alex Kuznetsov and Mischa Zverev defeated Tennys Sandgren and Rhyne Williams 6–4, 6–7$^{(7–4)}$, [10–5] in the final to capture the title.

## Seeds

* Rik de Voest / Marcelo Demoliner (quarterfinals)
* Stefano Ianni / Denys Molchanov (first round)
* Devin Britton / Austin Krajicek (semifinals)
* Alex Bogomolov Jr. / Steve Johnson (quarterfinals, withdrew because of Bogomolov's right shoulder injury)

## Draw
### Key

* Q = Qualifier
* WC = Wild card
* LL = Lucky loser
* Alt = Alternate
* SE = Special exempt
* PR = Protected ranking
* ITF = ITF entry
* JE = Junior exempt
* w/o = Walkover
* r = Retired
* d = Defaulted
* SR = Special ranking

### Draw

| First round | First round | First round | First round | First round | Quarterfinals | Quarterfinals | Quarterfinals | Quarterfinals | Semifinals | Semifinals | Semifinals | Semifinals | Semifinals | Final | Final | Final | Final |
| 1 | R de Voest M Demoliner | 7 | 3 | [10] | | | | | | | | | | | | | |
| | J Andersen I van der Merwe | 5 | 6 | [7] | 1 | R de Voest M Demoliner | 4 | 0 | | | | | | | | | |
| WC | D Kosakowski V Mirzadeh | 1 | 3 | | | T Sandgren R Williams | 6 | 6 | | | | | | | | | |
| | T Sandgren R Williams | 6 | 6 | | | | | | | T Sandgren R Williams | 6$^4$ | 6 | [10] | | | | |
| 3 | D Britton A Krajicek | 6 | 6 | | | | | | 3 | D Britton A Krajicek | 7$^7$ | 4 | [6] | | | | |
| | J Blake M Knowles | 1 | 1 | | 3 | D Britton A Krajicek | 6 | 6 | | | | | | | | | |
| WC | C Buchanan D Nguyen | 4 | 3 | | | M Russell R Sweeting | 2 | 4 | | | | | | | | | |
| | M Russell R Sweeting | 6 | 6 | | | | | | | | | | | T Sandgren R Williams | 4 | 7$^7$ | [5] |
| Q | S Bangoura N Meister | 6 | 2 | [4] | | | | | | | | | | A Kuznetsov M Zverev | 6 | 6$^4$ | [10] |
| | A Kuznetsov M Zverev | 4 | 6 | [10] | | A Kuznetsov M Zverev | w/o | | | | | | | | | | |
| | C Ball B Reynolds | 3 | 5 | | 4 | A Bogomolov Jr. S Johnson | | | | | | | | | | | |
| 4 | A Bogomolov Jr. S Johnson | 6 | 7 | | | | | | | A Kuznetsov M Zverev | 6 | 6 | | | | | |
| WC | Neil Kenner Andrew McCarthy | 2 | 1 | | | | | | Alt | M Baumann T Pütz | 4 | 3 | | | | | |
| | B Klahn D Kudla | 6 | 6 | | | B Klahn D Kudla | 4 | 2 | | | | | | | | | |
| Alt | Moritz Baumann T Pütz | 3 | 6 | [10] | Alt | M Baumann T Pütz | 6 | 6 | | | | | | | | | |
| 2 | S Ianni D Molchanov | 6 | 3 | [8] | | | | | | | | | | | | | |
# Pedro Bernáldez de Sahagún

Pedro Bernaldez de Sahagun (12th-century) was a medieval knight of Castile.
His wife was María Soares da Maia, daughter of Suero Mendez de Amaya.
# Blahodatne, Pervomaiske settlement hromada, Mykolaiv Raion, Mykolaiv Oblast

Blahodatne (Ukrainian: Благодатне) is a village in the Mykolaiv Raion of the Mykolaiv Oblast. It belongs to Pervomaiske settlement hromada, one of the hromadas of Ukraine. There are 474 inhabitants as of 2001.

## History

The village was founded in 1939 under the original name Komsomolske.
On May 12, 2016, the village of Komsomolske was renamed Blahodatne.
Until 18 July 2020, Blahodatne belonged to Vitovka Raion. The raion was abolished in July 2020 as part of the administrative reform of Ukraine, which reduced the number of raions of Mykolaiv Oblast to four. The area of Vitovka Raion was merged into Mykolaiv Raion.
During the 2022 Russian Invasion of Ukraine, the village came under attack and was occupied by Russian forces on 22 August 2022.
# Eduard Weichberger

Alexander Heinrich Wilhelm Eduard Weichberger (5 March 1843, Krauthausen - 19 August 1913, Weimar) was a German painter who specialized in forest landscapes and rural scenes.

## Biography

He was the sixth child of First Lieutenant and manorial owner Alexander Weichberger and his wife, Amalie. In 1848, the family moved from Krauthausen to Eisenach.
From 1860 to 1861, he attended the Polytechnische Schule in Dresden (now the Technical University of Dresden), where he studied architecture. This was apparently not to his liking as, after only one semester, he left to enroll at the Grand-Ducal Saxon Art School, Weimar. Until 1862, he studied with Arnold Böcklin and Franz von Lenbach then, until 1868, with Alexander Michelis and, finally, with Max Schmidt. His formal studies were interspersed with study trips to Italy and the Baltic Seacoast.
In 1876, he married Elise Choinanus, from a family of musicians, who was twelve years his junior. They had four children, including the writer, Konrad Weichberger [de]. From 1877 to 1906, he worked as a free-lance artist, creating paintings and folia of etchings. He also gave occasional drawing lessons. After 1899, he served as a Professor at the Art School in Weimar. He created his initial sketches with brush and paint, focusing on motifs from the Thuringian Forest, Rügen and the Tirol. Many of his sketchbooks and drawings are at the Klassik Stiftung Weimar.
He died of a heart attack in 1913, at the age of seventy.

## Sources

* Petra Dietzel (Ed.): Festschrift zum 300-jährigen Kirchenjubiläum der Kirche zu Krauthausen 1709–2009 (Kirchgemeinde Krauthausen), 2009.
* (in German) Eduard Weichberger. In: Ulrich Thieme, Felix Becker (editors): Allgemeines Lexikon der Bildenden Künstler von der Antike bis zur Gegenwart. Band 35, E. A. Seemann, Leipzig 1942, S. 261.