OpenLLM-France/wikimedia huggingface dataset:
# Geometry from the Land of the Incas

Geometry from the Land of the Incas is a free geometry website funded by advertising, aimed mainly at high school and college age students.
Developed by Antonio Gutierrez, the site uses sound, dynamic geometry, animations, science, and Incan history with the goal of raising students' interest in Euclidean geometry. Numerous problems are presented with step-by-step solutions for each proof.
Around 2003, the website won several minor awards from educational publications, including One of the Top 10 educational Web Sites Canada's SchoolNet's in 2003 , the Knot #284 Canadian Mathematical Society , NCTM Illuminations Web Byte (National Council of Teacher of Mathematics), and one of 30 "Desert Island Theorems" of the book: "The Changing Shape of Geometry Celebrating a Century of Geometry and Geometry Teaching", the Mathematical Association UK.
The author designed the site for teachers, students and parents, and anyone else curious about geometry, mathematics, popular science, geography, Incan history and visual perception.
The site moved to www.gogeometry.com on November 5, 2007 from www.agutie.homestead.com.

## Site contents

Geometry from the Land of the Incas is divided into nine major categories: Geometry theorems and problems, Inca Geometry, Quizzes, Puzzles, Quotations, Inspiration, Landscapes, Mindmaps, and Geometric art. This site is loaded with advertisements and very little, if any, interesting exploration of the Inca's understanding of geometry.

## Technical requirements

Requires Flash Player 5.0 or higher version, Java Runtime Environment 1.3 or higher version and JavaScript.
This site is best viewed using Internet Explorer version 6.0 or higher, or Firefox version 1.5 or higher and at a display resolution of 1024 × 768 or higher.
# Aquarius National Forest

Aquarius National Forest was established as the Aquarius Forest Reserve by the United States General Land Office in Utah on October 24, 1903, with 639,000 acres (2,590 km$^2$). In 1905 federal forest lands were transferred to the U.S. Forest Service. On March 4, 1907, it became a National Forest, and on July 1, 1908, it was renamed Powell National Forest. The lands are presently included in Dixie National Forest. The forest included the Aquarius Plateau to the southeast of Capitol Reef National Park.
# Buchan Bay

Buchan Bay (60°47′S 44°42′W﻿ / ﻿60.783°S 44.700°W﻿ / -60.783; -44.700) is a small bay between Cape Hartree and Cape Murdoch, near the southwest end of Laurie Island in the South Orkney Islands. It was charted in 1903 by the Scottish National Antarctic Expedition under William Speirs Bruce, who named it for Alexander Buchan, noted Scottish meteorologist.
# Brunswick Township, Chariton County, Missouri

Brunswick Township is a township in Chariton County, in the U.S. state of Missouri.
Brunswick Township was established in 1840, taking its name from Brunswick, Missouri.
# Generalized variance

The generalized variance is a scalar value which generalizes variance for multivariate random variables. It was introduced by Samuel S. Wilks.
The generalized variance is defined as the determinant of the covariance matrix, $\det(\Sigma )$. It can be shown to be related to the multidimensional scatter of points around their mean.
# Generalized vector space model

The Generalized vector space model is a generalization of the vector space model used in information retrieval. Wong et al. presented an analysis of the problems that the pairwise orthogonality assumption of the vector space model (VSM) creates. From here they extended the VSM to the generalized vector space model (GVSM).

## Definitions

GVSM introduces term to term correlations, which deprecate the pairwise orthogonality assumption. More specifically, the factor considered a new space, where each term vector t$_i$ was expressed as a linear combination of 2$^n$ vectors m$_r$ where r = 1...2$^n$.
For a document d$_k$ and a query q the similarity function now becomes:
    $sim(d_{k},q)={\frac {\sum _{j=1}^{n}\sum _{i=1}^{n}w_{i,k}*w_{j,q}*t_{i}\cdot t_{j}}{{\sqrt {\sum _{i=1}^{n}w_{i,k}^{2}}}*{\sqrt {\sum _{i=1}^{n}w_{i,q}^{2}}}}}$
where t$_i$ and t$_j$ are now vectors of a 2$^n$ dimensional space.
Term correlation $t_{i}\cdot t_{j}$ can be implemented in several ways. For an example, Wong et al. uses the term occurrence frequency matrix obtained from automatic indexing as input to their algorithm. The term occurrence and the output is the term correlation between any pair of index terms.

## Semantic information on GVSM

There are at least two basic directions for embedding term to term relatedness, other than exact keyword matching, into a retrieval model:
* compute semantic correlations between terms
* compute frequency co-occurrence statistics from large corpora
Recently Tsatsaronis focused on the first approach.
They measure semantic relatedness (SR) using a thesaurus (O) like WordNet. It considers the path length, captured by compactness (SCM), and the path depth, captured by semantic path elaboration (SPE). They estimate the $t_{i}\cdot t_{j}$ inner product by:
$t_{i}\cdot t_{j}=SR((t_{i},t_{j}),(s_{i},s_{j}),O)$
where s$_i$ and s$_j$ are senses of terms t$_i$ and t$_j$ respectively, maximizing $SCM\cdot SPE$.
Building also on the first approach, Waitelonis et al. have computed semantic relatedness from Linked Open Data resources including DBpedia as well as the YAGO taxonomy. Thereby they exploits taxonomic relationships among semantic entities in documents and queries after named entity linking.
# Arbelodes sebelensis

Arbelodes sebelensis is a moth in the family Metarbelidae. It is found in south-eastern Botswana and possibly extends eastwards into South Africa. The habitat consists of legume-dominated savanna.
The length of the forewings is about 11 mm.

## Etymology

The species name refers to Sebele, the type locality.
# Santa Teresa, Catania

Santa Teresa, also called Santa Teresa del Bambin Gesú or Bambino Gesú is a Roman Catholic parish church and Discalced Carmelite cloistered convent, located on Via Antonino Di Sangiuliano #219, at the intersection with via Santa Teresa, in Catania, region of Sicily, southern Italy.

## History and description

Monks of the order of Discalced Carmelites arrived in Catania in 1642-1643 and were initially located at the church of Santo Spirito outside town. In 1677, that church was destroyed to enhance the defenses against the besieging French army. For a time they stayed in houses belonging to the nobleman Giovanni Tedeschi. The present structures, a church and attached convent were not built until after the 1693 earthquake. The church facade is set on a high black stone plinth, is accessed through a double staircase, and has a broken pediment over the portal.
37°30′18″N 15°05′20″E﻿ / ﻿37.50499°N 15.08883°E﻿ / 37.50499; 15.08883
# Santander Golf Tour Barcelona

The Santander Golf Tour Barcelona is a women's professional golf tournament on Spain's Santander Golf Tour that has featured on the LET Access Series. It was first played in 2016 and is held near Barcelona, Spain.

## Winners

| Year | Tour | Winner(s) | Country | Score | Margin of victory | Runner(s)-up | Purse (€) | Ref |
| Santander Golf Tour Girona |||||||||
| 2024 | | María Herráez | Spain | –7 (69-68=137) | Playoff | Lucie André Nikki Hofstede | | |
| 2023 | LETAS | Lucie André | France | +1 (72-72-70=214) | Playoff | Marit Harryvan Sofie Kibsgaard Nielsen Emily Price Emma Thorngren | 40,000 | |
| 2022 | | Piti Martinez Bernal Natalia Escuriola | Spain | –12 (64-66=130) | 1 stroke | Mireia Prat María Laura Elvira | | [5] [lower-alpha 2] |
| Santander Golf Tour Barcelona |||||||||
| 2021 | LETAS | Charlotte Liautier (a) | France | E (71-71-74=216) | 1 stroke | Helen Briem (a) Rachael Goodall | 35,000 | |
| 2020 | No tournament | No tournament | No tournament | No tournament | No tournament | No tournament | No tournament | No tournament |
| 2019 | | Johanna Gustavsson | Sweden | −2 (71-71=142) | Playoff | Krista Bakker | 20,000 | |
| Santander Golf Tour LETAS El Prat |||||||||
| 2018 | LETAS | Julia Engström | Sweden | −3 (76-71-66=213) | 1 stroke | Mireia Prat | 35,000 | |
| Santander Golf Tour Vallromanes |||||||||
| 2017 | | Silvia Bañón | Spain | −5 (139) | | | | |
| 2016 | | Carolina González | Spain | −6 (138) | | | | |
* ↑ Several installments have been hosted under co-sanctioning agreement with the LET Access Series (LETAS)
* ↑ Team event
# Aprophata

Aprophata is a genus of longhorn beetles of the subfamily Lamiinae, containing the following species:
* Aprophata aurorana Vives, 2009
* Aprophata eximia (Newman, 1842)
* Aprophata eximioides Breuning, 1961
* Aprophata hieroglyphica Vives, 2009
* Aprophata nigrescens Breuning, 1973
* Aprophata notha (Newman, 1842)
* Aprophata quatuordecimmaculata Breuning, 1947
* Aprophata ruficollis Heller, 1916
* Aprophata semperi (Westwood, 1863)
* Aprophata vigintiquatuormaculata Schwarzer, 1931
# Aprophata nigrescens

Aprophata nigrescens is a species of beetle in the family Cerambycidae. It was described by Stephan von Breuning in 1973. It is known from the Philippines.
# Sanza, Campania

Sanza is a town and comune in the province of Salerno in the Campania region of southern Italy.

## History

It is a small town placed on a hill surrounded by mountains. In ancient times it was protected by walls and there were few gates to access the village.

## Geography

The town is bordered by Buonabitacolo, Casalbuono, Casaletto Spartano, Caselle in Pittari, Monte San Giacomo, Montesano sulla Marcellana, Piaggine, Rofrano, Sassano and Valle dell'Angelo.
Sanza counts the hamlets (frazioni) of San Donato and Varivertola. In the north-western area of its territory is located the mount Cervati.

## Feast Day

Sanza's biggest day of the year is August 5; a day in which all of its patrons pay homage to their other beloved saint, La Madonna Della Neve (Mary of the Snows.) In late July, a group of men carrying the heavy statue of La Madonna on their shoulders are followed by the people of Sanza as they ascend Monte Cervati (a nearby mountain in the Cilento region). The statue is then left in the small chapel at the very top. Then several days later, Sanza's devoted people, ranging from young children, to old men and women with walking sticks, once again follow La Madonna's descent back down the mountain. After a 26 kilometer journey ranging from around 2 or 3 am, up until when the people return, all those who had come down the mountain create a procession through the tight cobblestoned streets of Sanza, singing loudly and continuing to carry La Madonna.
# Genesis (Joy Williams album)

Professional ratings :
| Review scores ||
| Source | Rating |
| AllMusic | |
| Jesus Freak Hideout | |
Genesis is the third album from Christian pop artist Joy Williams, with singles "Hide", "We" and "Say Goodbye".

## Track listing
### Singles

* "Hide"
* "We"
* "Say Goodbye"
* "God Only Knows"

## Personnel

* Joy Williams – all vocals
* Jeremy Bose – programming
* Stephen Leiweke – guitars
* Matt Bronleewe – additional guitars
* James Gregory – bass
* Joe Porter – drums
* Keith Getty – string arrangements
* Joni McCabe – string conductor
* The City of Prague Philharmonic Orchestra – strings

## Production

* Robert Beeson – executive producer
* Michael Blanton – executive producer
* Jason McArthur – executive producer
* Matt Bronleewe – producer
* Aaron Swihart – recording
* Michael Morena – recording assistant
* Milan Jílek – string recording
* Chris Henning – digital editing
* F. Reid Shippen – mixing
* Lee Bridges – mix assistant
* Greg Calbi – mastering
* Michelle Pearson – A&R production
* Alice Smith – production coordinator
* Stephanie McBrayer – art direction
* Tim Parker – design
* Andrew Southam – photography
* Maude – stylist
* Sabrina Paul – hair, make-up
* Joy Williams – liner notes
* Blanton, Harrell, Cooke & Corzine – management
Studios
* Recorded at Platinum Lab and Pentavarit (Nashville, Tennessee).
* Strings recorded at Studio A of The Czech Television.
* Mastered at Sterling Sound (New York City, New York).

## Chart performance

* #18 Top Christian Albums
* #17 Top Heatseekers
* #26 Top Independent Albums

## Awards

In 2006, the album was nominated for a Dove Award for Pop/Contemporary Album of the Year at the 37th GMA Dove Awards. The song "Hide" was also nominated for Pop/Contemporary Recorded Song of the Year.
# Bryan Smith (motorcyclist)

Bryan Smith (born June 24, 1983) is an American professional motorcycle racer from Flint, Michigan.

## Career

Smith has been racing for over fourteen years. In 2015, Smith competed in his first X Games, winning gold in the Flat-Track event. Smith has won five races at the Illinois State Fairgrounds Racetrack, the latest being the AMA Pro Flat Track Grand National Championship.
Early Career Began racing BMX at age six, then moved to Flat Track and Ice Racing at age seven.
2014 Smith looked to have the GNC1 championship in his grasp until a smoking bike led to a black flag at Calistoga. Smith didn't bring the bike into the pits and was later disqualified, forfeiting the points from a second place showing and putting himself just too far behind eventual champion Jared Mees. Smith's remarkable season included a series-best five victories, including Kawasaki's first ever Half-Mile win. Outside of the disqualification, Smith was in the top 10 in every race except for the opener at Daytona.
2013 Smith excelled on mile-long courses, winning two races on his way to earning the coveted GNC Expert Twins Championship.
2012 Two wins and 12 top 10 finishes helped Smith win the GNC Expert Twins Championship. Finished fourth in the overall standings and locked in 11 Top 5s. His two wins came at the Cal Expo and the Illinois State Fairgrounds. Both victories came on mile-long tracks.
2011 Smith won the California Expo Fair GNC Twins event. He also earned two Top10s and six Top5s. Raced with Fasthog.com Harley-Davidson/Honda.
2010 Smith had an impressive season, winning the Indianapolis Mile in front of the MotoGP crowd on board his Ninja 650 Kawasaki, and following it up with a win at the Springfield Mile September 5. Raced with Monster Energy/Kawasaki/Werner-Springsteen Racing team.
2009 Smith won the AMA Pro Grand National Twins race at Lima, podiumed twice at Indianapolis and Grove City, and had a total of six Top5 finishes. Raced with Moroneys Screamin Eagle Harley-Davidson race team.
2008 Finished 2nd in twins points, with one win at the Beulah Mile in Ohio. Also earned one podium in the singles at the Daytona Short Track.
2007 Finished third in the twins points, had one win in the single division at the Castle Rock ST.
2006 Won two GNC events - the opening round at the Daytona Short Track and the fall Springfield Mile, finishing the year third in the twins points.
2005 Joined the Moroney's H-D team and earned a few podiums.

## Sacramento Mile

Smith won the Sacramento Mile a record seven times in a row, from 2011 to 2017.

## X Games Harley-Davidson Flat-Track

Smith won a gold medal in the 2015 X Games Harley-Davidson Flat-Track.

## Superprestigio of the Americas

Smith placed 4th in the Flat Track Final and 8th in the Superprestigio Final at the inaugural Superprestigio of the Americas on November 21, 2015.
# Aras

Aras may refer to:

## Places

* Aras (river), a river that starts in Turkey and flows through Caucasia (borders Iran with Azerbaijan and Armenia)
** Aras Dam, on the Aras River
* Aras, Iran, a village in East Azerbaijan Province, Iran
* Aras District, an administrative subdivision of Iran
* Aras Free Zone, an industrial Zone situated in north-west of Iran
* Aras, Navarre, a municipality in the autonomous community of Navarre (Navarra), Spain
* Aras, Horasan, Turkey
* Republic of Aras, a short-lived and unrecognized republic taking its name from the aforementioned river
* Årås, the administrative centre of Austrheim municipality in Vestland county, Norway
* Ərəş, a village in Azerbaijan

## People

* Aras (name), list of people with the name

## Other

* ARAS (Lithuania), a Lithuanian Police special operations unit
* Aras (mythology), an autochthon in Greek mythology, father of Araethyrea and Aoris
* Aras Corp, an American developer and publisher of product development software
* Aras Green Economic Dawn (Aras GED), an Iranian industrial and environmental business consortium
* Archive for Research in Archetypal Symbolism
* Ascending reticular activating system, in neuroanatomy
* Atherosclerotic renal artery stenosis, a kidney disease
# Abdulaziz Farah

Abdulaziz Ali Farah is a Kenyan politician and a member of the 11th Kenyan parliament elected from Mandera East Constituency on the ticket of United Republican Party (URP) and with support of Jubilee Coalition in 2013. In the parliament, he served on the Environment & Natural Resources committee. Farah is a Murulle tribesman and received the endorsement of the council of elders of his clan for his first term but was unable to secure the endorsement for a second term in 2017 ending his parliamentary career. He graduated from Kenyatta University in 1995.
# Apulet

An apulet is a component of the Cell computer architecture consisting of a bundle comprising a data object and the code necessary to perform an action upon it. The Cell architecture calls for several APUs (Attached Processing Units) which do the primary processing of the system, under the control of a single Processing Element (PE). Each APU is loaded with its apulet by the PE and can pass its results to the next APU.
# Apulia (disambiguation)

Apulia is a region of southern Italy.
Apulia may also refer to:
* Apulia, part of several historic regions known as Apulia and Calabria
* Apulia (microcontinent), a small tectonic plate
* Apúlia, a town in Portugal
# Santilly, Eure-et-Loir

Santilly is a commune in the Eure-et-Loir department in northern France. The parish church is dedicated to Saint-Pantaléon.
Santilly is served by Château-Gaillard station to the east of the commune, with rail connections to Orléans, Étampes and Paris.
# Buenia

Buenia is a genus of gobies native to the eastern Atlantic Ocean and the Mediterranean Sea. The name of the genus and the common name of the type species honour Fernando de Buen y Lozano (1895-1962), the Spanish oceanographer and marine biologist.

## Species

There are currently three recognized species in this genus:
* Buenia affinis Iljin, 1930 (de Buen's goby)
* Buenia jeffreysii (Günther, 1867) (Jeffrey's goby)
* Buenia massutii Kovačić, Ordines & Schliewen, 2017
# George Byng

George Byng may refer to:
* George Byng (c. 1556–1616), MP for Rochester
* George Byng, 1st Viscount Torrington (1663–1733), Royal Navy officer and statesman
* George Byng, 3rd Viscount Torrington (1701–1750), British Army officer and peer
* George Byng (1735–1789), British Member of Parliament
* George Byng (1764–1847), British Member of Parliament, son of the above
* George Byng, 4th Viscount Torrington (1740–1812), English peer
* George Byng, 6th Viscount Torrington (1768–1831), Royal Navy officer
* George Byng, 2nd Earl of Strafford (1806–1886), British peer and politician
* George Byng, 7th Viscount Torrington (1812–1884), British colonial administrator and courtier
* George Byng, 3rd Earl of Strafford (1830–1898), British politician
* George Byng, 8th Viscount Torrington (1841–1889), British politician
* George Byng, 9th Viscount Torrington (1886–1944)
* George W. Byng (1861–1932), composer and conductor
# Aaron Heremaia

Aaron Aspin Heremaia (born (1982-09-19)19 September 1982) is a New Zealand former professional rugby league footballer who last played as a goal-kicking hooker or halfback for the Widnes Vikings in the Super League.

## Background

Heremaia was born in Auckland, New Zealand.

## Playing career

Educated at Tangaroa College and a Manurewa Marlins junior, Heremaia started his career in 2001 playing for the Hibiscus Coast Raiders in the Bartercard Cup whilst on a New Zealand Warriors development contract. where he played under successful coaches Tony Benson and Brian McClennan. Heremaia however failed to be picked up by the Warriors. In 2004 Heremaia moved to Australia to play in the NSWRL Premier League, where he represented the Western Suburbs Magpies and North Sydney Bears in successive years.
In 2006 he moved to England to play for the Leigh Centurions in the National League One, again linking up with Tony Benson. That year Heremaia was part of the team that won the Northern Rail Cup. He has also conditionally signed but never played for the Widnes Vikings in 2007 and Halifax in 2008.
Returning to New Zealand and the Manurewa Marlins, Heremaia was able to make the Auckland Vulcans team for 2008, playing in the NSW Cup. From here he was able to impress the New Zealand Warriors and was signed to a contract for the 2009 season. He made his first grade début in Round Twelve against the Wests Tigers. He was re-signed by the Warriors until the end of the 2011 season. Heremaia joined Hull F.C. in 2012 on a two-year deal with an option for a third.
On 8 May 2014, Hull F.C. announced that they would release Heremaia at the end of the 2014 season.
One day after Hull announced Aaron would leave at the end of the season, the Widnes Vikings announced he will arrive at the club at the end of the 2014 season to play in 2015.

## Representative career

Heremaia played for the Junior Kiwis in 2001. He made his début for the New Zealand Māori side in 2002. He regularly appeared for the side while based in New Zealand and captained New Zealand Māori on several occasions.
For the 2010 Anzac Test, Heremaia was selected to play for New Zealand from the interchange bench in their loss against Australia.
# Gens du pays

"Gens du pays" is a Quebecois song that has been called the unofficial national anthem of Quebec. Written by poet and singer-songwriter Gilles Vigneault, and with music co-written by Gaston Rochon, it was first performed by Vigneault on June 24, 1975 during a concert on Montreal's Mount Royal at that year's Fête nationale du Québec ceremony. It quickly became a folk classic, and it has been played frequently at Fête nationale ceremonies since then. The chorus is by far the most famous part of the song: Gens du pays, c'est votre tour / De vous laisser parler d'amour, which, translated, says, "Folks of the land, it is your turn to let yourselves speak of love."
The song is also associated with the Quebec sovereignty movement and the sovereigntist Parti Québécois, which use it as a sort of anthem. A famous instance of this took place at René Lévesque's concession speech after the citizens of the province rejected independence in the 1980 Quebec referendum. At the end of Lévesque's speech, the crowd assembled to hear him speak stood up and sang "Gens du pays", which Lévesque called "the most beautiful Québécois song in the minds of all Quebecers."

## Birthday adaptation

In Quebec, a modified version of the chorus is often sung to celebrate a person, for example on a birthday (in the specific case of the birthday, the idea was explicitly introduced by Vigneault, Yvon Deschamps and Louise Forestier at the song's 1975 introduction):
    Mon cher ami (or Ma chère amie), c'est à ton tour
    De te laisser parler d'amour.
("My dear friend, it's your turn / To let yourself be lovingly spoken to.")
Alternatively, "ami(e)" (friend) is replaced with the name of the person being celebrated.
For instance, at René Lévesque's funeral, mourners outside the church broke out singing "Mon cher René, c'est à ton tour de te laisser parler d'amour."
The birthday adaptation uses the familiar, informal and singular "tu" form of French personal pronouns, in contrast with the original which uses "vous" pronouns, which are either singular but formal, or plural (as with other Romance languages such as Spanish).
# Gensac, Hautes-Pyrénées

Gensac is a commune in the Hautes-Pyrénées department in south-western France.