OpenLLM-France/wikimedia huggingface dataset:
# Even and odd ordinals

In mathematics, even and odd ordinals extend the concept of parity from the natural numbers to the ordinal numbers. They are useful in some transfinite induction proofs.
The literature contains a few equivalent definitions of the parity of an ordinal α:
* Every limit ordinal (including 0) is even. The successor of an even ordinal is odd, and vice versa.
* Let α = λ + n, where λ is a limit ordinal and n is a natural number. The parity of α is the parity of n.
* Let n be the finite term of the Cantor normal form of α. The parity of α is the parity of n.
* Let α = ωβ + n, where n is a natural number. The parity of α is the parity of n.
* If α = 2β, then α is even. Otherwise α = 2β + 1 and α is odd.
Unlike the case of even integers, one cannot go on to characterize even ordinals as ordinal numbers of the form β2 = β + β. Ordinal multiplication is not commutative, so in general 2β ≠ β2. In fact, the even ordinal ω + 4 cannot be expressed as β + β, and the ordinal number
    (ω + 3)2 = (ω + 3) + (ω + 3) = ω + (3 + ω) + 3 = ω + ω + 3 = ω2 + 3
is not even.
A simple application of ordinal parity is the idempotence law for cardinal addition (given the well-ordering theorem). Given an infinite cardinal κ, or generally any limit ordinal κ, κ is order-isomorphic to both its subset of even ordinals and its subset of odd ordinals. Hence one has the cardinal sum κ + κ = κ.
# Parnasala

Parnasala is a village in the Dummugudem mandal in the newly formed Bhadradri Kothagudem district (formerly in Khammam district) of Telangana, India. The village is accessible by road and boats and is situated 32 km from the temple town of Bhadrachalam.
Bhadrachalam area has several Hindu deities connected with Epic book Ramayana.
According to the legend, Lord Rama built a hermitage in Parnasala during his exile and lived there for some time. The hermitage was named Parnasala because it was surrounded by trees (Parna means leaves and Sala means house). It is said that Lord Rama used to offer prayers to Lord Shiva at a nearby cave temple called Shivacave.
The history of Parnasala can be traced back to the Vedic period. The Vedas mention the importance of forests and their conservation, and the forests surrounding Parnasala were considered sacred. The village is located on the banks of the river Godavari, which has been mentioned in the Vedas as one of the seven holy rivers of India.
Parnasala is also associated with the Buddhist period. The nearby town of Bhadrachalam is believed to be the birthplace of Saint Ramadasu, a devotee of Lord Rama and a renowned saint of the 17th century. The Bhadrachalam temple, which is dedicated to Lord Rama, was constructed by Saint Ramadasu.
During the British period, Parnasala was a part of the Nizam's Hyderabad State. The village was known for its agricultural produce, especially rice and sugarcane. The people of Parnasala were skilled in making handicrafts and decorative items using bamboo and other natural materials.
In recent times, Parnasala has become a popular tourist destination. The Sri Rama Temple, which is believed to be the place where Lord Rama lived during his exile, is a major attraction. The temple is located on the banks of the river Godavari and is surrounded by lush green forests. The village is also known for its natural beauty, with the Parnasala Hill and the Kothagudem Waterfalls being popular spots for trekking and nature walks.

## Geography

Parnasala is located at 17°55′55″N 80°53′45″E﻿ / ﻿17.93194°N 80.89583°E﻿ / 17.93194; 80.89583 and has an average elevation of 55 metres (183 ft).

## Demographics

According to the 2001 Indian census, the demographic details of Parnasala village are as follows:
* Total population: 513 in 116 households
* Male population: 253
* Female population: 260
* Children under 6 years of age: 51 (boys - 23 and girls - 28)
* Total literates: 429

## Legend

According to legend, it is said the "Lord Sri Rama "spent some of the 14 years of exile at this location. The locals believe that Sita, the beloved consort of "Lord Sri Rama" bathed in the stream here and dried her clothes on "Radhagutta" where the imprints are seen even today. The demon king "Ravana" parked his Pushpaka on the hillock on the opposite side of the river and abducted her. An earthen ditch reportedly caused when Ravana removed earth to carry off Sita to Lanka can be seen here. Another Hindu legend names Parnashala as the location where Rama killed Maricha, who came in disguise of a golden deer to deceive Sita.
# Philippe Vasset

Philippe Vasset (born 1972) is a French novelist and journalist. He is the editor in chief of the investigative newsletters Africa Energy Intelligence and Intelligence Online, published by Indigo Publications press group. He worked as a corporate detective in the United States before becoming a journalist and, in 1993, won the prize of Best Young Writer awarded by the French daily Le Monde. Following his debut ScriptGenerator®™ (2004), he has already written a second novel.
In 2023, Abu Dhabi Secrets revealed that Vasset as editor of Africa Intelligence "regularly used information" from Alp Services, a Swiss private investigation business by Mario Brero with offensive viral communication campaigns.
# West Lake Resortopia

The West Lake Resortopia (Chinese: 西湖渡假村; pinyin: Xīhú Dùjiàcūn) is a theme park in Sanyi Township, Miaoli County, Taiwan.

## History

The theme park was established in 1989. Later on it was renovated to have a theme of Hans Christian Andersen.

## Architecture

The theme park spans over an area of 60 hectares and was constructed with a European style of architecture. It is divided into two main areas, which are the amusement park and the cartoon world.

## Notable events

* 2010 Miaoli Triathlon

## Transportation

The theme park is accessible by taxi south of Sanyi Station of Taiwan Railways.
# Lygniodes vampyrus

Lygniodes vampyrus is a moth of the family Erebidae. It is found in the South India, Sri Lanka and Thailand.
# Megachile rectipalma

Megachile rectipalma is a species of bee in the family Megachilidae. It was described by Vachal in 1909.
# Thalwenden

Thalwenden is a village and a former municipality in the district of Eichsfeld in Thuringia, Germany. On 1 January 2024 it became part of the municipality Uder.
# Old and Young Drift

Old and Young Drift are geographic names given to the morainic landscapes that were formed in Central Europe; the Old Drift during the older ice ages and the Young Drift during the latest glaciations – the Weichselian in North Germany and the Würm in the Alps. Their landforms are quite different. Areas of Old Drift have been heavily flattened and transformed as a result of geomorphic processes such as denudation and erosion, whilst areas of Young Drift have largely retained their original shape. Whilst the majority of Old Drift moraines were formed during the Saale glaciation about 130,000 to 140,000 years ago, the Young Drift moraines in Central Europe are only about 15,000 to 20,000 years old. The terms Old and Young Drift are used for all elements of the glacial series even though the meltwater deposits and landforms are not strictly moraines.

## Old Drift

The Old Drift landscapes were tundras or cold deserts during the last ice age. Periglacial processes resulted in significant ablation of higher terrain as well as accumulation of sediments in the depressions. As a result of that the old glacial forms have clearly been worn down. In addition almost all closed hollows (e. g. dead ice kettle holes) have been completely filled in. Old Drift landscapes are therefore much less relief-intensive than Young Drift regions and have hardly any natural lakes. The river system of Old Drift areas is normal and hierarchical.
Due to advanced weathering of the sediments near the surface, the soils are more heavily leached ( (brunified, decalcified and/or podsolized). The glacial till is generally decalcified to 3–4 metres; thinner strata may be entirely decalcified. Very common are wind-formed ablation or accumulation landforms, because during the glacial periods, the wind could easily blow sand and silt away due to the lack of a layer of vegetation. The presence of ventifacts, dunes and loess is thus typical of Old Drift areas.

## Young Drift

Young Drift morainic landscapes by contrast have new landforms that are still recognisable as glacial forms. There are numerous enclosed hollows, many of which are filled with water. The river system is often still immature and rather chaotic. There are numerous inland drainage areas. Ventifacts and dunes do occur; but these landforms are much younger and less intensively formed than in Old Drift country. The soils are markedly less weathered than those of the Old Drift. On areas of ground moraine, the depth of decalcification of the glacial till is thus often less than 1 metre.

## Literature

* Frank Ahnert (1996), Einführung in die Geomorphologie (in German) (1st ed.), Stuttgart: Verlag Eugen Ulmer, pp. 350 ff, ISBN 3-8252-8103-5
# Torbjörn Flygt

Torbjörn Flygt (born 1964) is a Swedish novelist. He made his literary debut in 1995 with the novel Längsta ögonblicket. Among his other novels is Män vid kusten from 1997. He was awarded the August Prize in 2001 for the novel Underdog, a story set in Malmö.
# The Finder

The Finder may refer to:
* The Finder (American TV series), an American procedural drama television series
* The Finder (film), a 2001 Australian film
* Finders Keepers (Australian TV series) (also The Finder), an Australian children's television show
# The Find

Professional ratings :
| Review scores ||
| Source | Rating |
| Allmusic | |
| Okayplayer | |
The Find is the first full-length album by hip hop artist Ohmega Watts. It was released in 2005 on Ubiquity Records.

## Track listing

* "Introducing"
* "Where It All Started" feat. DJ DNA
* "That Sound" feat. Lightheaded, The Procussions, & Noell
* "You Are Now Tuned In" feat. Adam L & DJ Bombay
* "Journey (Interlude 1)"
* "Full Swing" feat. Neogen & Deacon
* "A Request"
* "Mind Power"
* "Your Love" feat. Tiffany Simpson
* "Treasure Hunt" feat. Sugar Candy
* "Groovin' on Sunshine"
* "At the Oasis (Interlude 2)"
* "The Find" feat. Stro The 89th Key (of The Procussions)
* "Saturday Night Live (Perfect Strangers No. 1)" feat. Surreal & Sharlok Poems
* "The Harder They Come (Interlude 3)"
* "The Treatment" feat. Manchild, Braille, & Big Rec
* "Stay Tuned" feat. Sojourn
* "Ya'll There? (Interlude 4)"
* "Floor Rock"
* "Move!"
* "Long Ago" feat. Othello
* "Dream On (Outro)"
# Ernest Ange Duez

Ernest Ange Duez (also known as Ernest-Ange Duez and Ernest Duez, 8 March 1843 – 5 April 1896) was a French painter of genre scenes, portraits, landscapes and religious subjects.
Although he was an admirer of Édouard Manet and owned paintings by Manet, Claude Monet, Edgar Degas and Berthe Morisot, his palette was more subdued than that of most of the Impressionists, and his technique more controlled. His style, between that of the conservative Paris Salon and Impressionism, has been called juste milieu, and he has been compared to Alfred Stevens, Giuseppe De Nittis, and James Tissot.

## Biography

Duez was born on 8 March 1843 in Paris, and studied painting under Isidore Pils. He first exhibited at the Salon in 1868 with Mater Dolorosa, and achieved success there in 1874 with a third-class medal for his paintings Splendeur and Misère. He won other medals there subsequently.
Genre scenes depicting modern life included Au restaurant Le Doyen (1878) and Café sur la Terrasse (1890). Portraits included Mme Duez (1877) and Alphonse de Neuville (1880).
Landscapes and seaside scenes were often inspired by the Normandy countryside around Villerville and Le Havre. In 1879 at the Salon he exhibited the large triptych Saint Cuthbert, depicting the stages of the life of Cuthbert set in landscapes based on the countryside around Villerville. Considered his greatest work, it is now in the Musée d'Orsay.
In 1883 Duez moved into a studio on boulevard Berthier, close to that of John Singer Sargent on the same street. Singer painted portraits of Duez and his wife in 1884–6. His wife, Amélie Duez, was a well-known amateur singer, and was the first to perform Gabriel Fauré's newly composed songs "Mandoline" and "En sourdine" (the first two songs of Cinq mélodies "de Venise"), while Fauré and the couple were staying as guests of the Princesse de Polignac in Venice in 1891. Duez's circle also included the painters Paul-Albert Besnard, Jacques-Émile Blanche and Roger-Joseph Jourdain.
Duez carried out a number of commissions for the adornment of public buildings in Paris. These included Novembre and Décembre in the Palais Garnier's Galerie du glacier, Virgile s’inspirant dans les bois (1888) for the Sorbonne, La Botanique and La Physique (1892) for the Hôtel de Ville's Salon des Sciences, and L’heure de la tétée à la maternité (1895) for the Assistance publique - Hôpitaux de Paris.
Duez died on 5 April 1896 from a cerebral haemorrhage while cycling in the Forest of Saint-Germain-en-Laye.
# The Forever War (board game)

The Forever War is a board game published by Mayfair Games in 1983. It is based on the novel The Forever War by Joe Haldeman.

## Gameplay

The Forever War is a two-player board game of space-based tactical infantry squad combat in future millennia between humans and Taurans. The combats take place on icy planetoids that orbit strategically important collapsars.
In the turn sequence, the attacker moves first with a four-phase turn:
* Rally: officers (if any) move, and attempts can be made to rescue pinned units
* Resolve attacks by Planetary Fighters (if any)
* Move units
* Resolve combat
The defender then has the same turn sequence. Both sides can attack during each combat phase, in effect fighting twice per turn. Combat can be either ranged (opponents are not in the same hex) or melee (opposing units are in the same hex.)
The game components are 250 card stock counters representing human and Tauran troops, officers and weapons; and map pieces that can be laid out in various configurations, producing different maps. The game includes ten scenarios and a point-value chart to enable players to design their own scenarios.

## Reception

In the May–June 1984 edition of Space Gamer (Issue No. 69), Ed Rotondaro gave a favorable review, saying, "I thoroughly enjoyed The Forever War. The game plays fast, and really captures the spirit of the novel upon which it is based. Mayfair has a winner here and gamers who buy it will get their money's worth."
In the August 1984 edition of Dragon (Issue #87), Steve List was less positive, pointing out that in addition to the land-based infantry combat found in this game, Haldeman's novel also covered spaceship combat, which this game does not. List also noted that a considerable focus of the novel was on the negative effects of time dilation due to relativistic space travel, something that has very little effect in this game. He also didn't like that all of the supplied scenarios are "frustratingly similar and do not really reflect any of the specific actions described in the novel." List thought the price was too high for what the buyer got: "It is reasonably fun to play, and action moves quickly. But neither the quality of the components nor the design justifies the $17 price tag." He concluded, "As a reflection of the novel on which it was based, The Forever War falls short. To be sure, this is a difficult thing to do well, but the lack of 'book accuracy' in the scenarios makes one wonder if the attempt was even made in earnest."
Russell Clarke reviewed The Forever War for White Dwarf #56, giving it an overall rating of 7 out of 10, and stated that "Forever War is an enjoyable, simple SF ground combat game for those who want a good battle without and extra problems to bother with (like logistics for example). For those who require more detail Starship Troopers is probably better value (it's cheaper too!!)."
# The Forge: Lemont Quarries Adventure Park

The Forge: Lemont Quarries Adventure Park is an adventure park that opened July 17, 2020 in Lemont, Illinois, a suburb of Chicago. It is a public-private partnership with the Village of Lemont and Lemont Township.
Covering approximately 300 acres (120 ha), it features ziplines, ropes courses, climbing towers and walls, bouldering areas, fishing, paddleboating, kayaking, mountain biking and hiking trails and other outdoor activities. The ropes course will be the tallest in North America, at over 120 ft (37 m). It also has adventure dining, a beer garden, an event venue, and summer camps.
The park was built on disused industrial land and flooded former Lemont yellow dolomite quarries straddling the Illinois and Michigan Canal National Heritage Area, and abutting the Chicago Sanitary and Ship Canal. It is named after the Forge Quarry and uses it, the Great Lakes Quarries, and the I&M Canal as water features. It was originally scheduled to open on May 25, with a grand opening scheduled for June 27, 2020, but due to the COVID-19 pandemic this was pushed back to July 2020.
# Torre Pellice

Torre Pellice (Vivaro-Alpine: La Torre de Pèlis) is a comune (municipality) in the Metropolitan City of Turin in the Italian region Piedmont, located about 45 kilometres (28 mi) southwest of Turin. The municipality is about 17.7 kilometers (11 mi) from the French border. It is crossed by the Pellice river.
Torre Pellice is the centre of the Waldensian church. The town is home to the Museo Valdese, which displays over 250 objects from more than 800 years of Waldensian culture, including weapons, bandages, relics, liturgical objects, medals, coins, paintings, and engravings. The Waldensians arrived in the valley in the early 13th century. In a grotto nearby Torre Pellice they held the Synod of Chanforan, by which they adhered to the Protestant Reformation (1590).
It borders the municipalities of Angrogna, Villar Pellice, Luserna San Giovanni, Rorà, Baussan, and Airali.

## Notable residents

* John Charles Beckwith (British Army officer)
* Migjeni, Albanian poet and writer
* Davide Giordano, physician, surgeon, and former president of Ateneo Veneto
* Andrea Chiarotti, ice sledge hockey Paralympian and coach

## Twin towns

* Guardia Piemontese, Italy
* Valdese, North Carolina, United States
# Errentai

Errentai, also known as Errenban, Dawanyi'er, Shuangwanyi'er, and Bengbeng, is a genre of Chinese opera performed by two singers. It is popular in Fugu County and Shenmu County in northern Shaanxi, Hequ County in northwestern Shanxi, Kangbao County in northwestern Hebei, and areas near Baotou, Hohhot, and the Ordos Plateau in Inner Mongolia.
In 2006, errentai was listed as a national-level intangible cultural heritage by the government of China.

## History

Errentai traces its history back to the 18th century during the Qing dynasty. It originated in Shanxi and later spread to western Inner Mongolia, Shaanxi, and Hebei. The songs are derived from folk songs; as such, different styles are developed in different areas.

## Performance

Errentai is performed by two singers, one acting in the dan (female) role and another in the chou (male clown) role. Traditionally both roles were portrayed by men, but the dan role is typically portrayed by actresses today. The performers would sing back and forth. Stage props include handkerchiefs, folding fans, rattle sticks and paper or silk stripes.
The musical instruments used include the dizi (transverse flute), sihu (four-stringed fiddle), and yangqin (hammered dulcimer). The wood block (梆子; bangzi) and sikuaiwa (四块瓦, a percussion instrument) are also sometimes used.
# Limacia ornata

Limacia ornata, is a sea slug, a species of dorid nudibranch. It is a marine gastropod mollusc in the family Polyceridae.

## Distribution

Limacia ornata was described from Japan. It has been reported from Sydney, Australia. A similar animal from Western Australia may be a different species.
# Erwin Swiney

Erwin Bernard Swiney Jr. (born October 8, 1978) is a former cornerback in the National Football League (NFL). He was a member of the Green Bay Packers for three seasons, though he did not see any playing time with the team in a regular season game during his final season. He also played with the Cologne Centurions of NFL Europe in 2004.

## College statistics

| Erwin Swiney | Erwin Swiney | Erwin Swiney | Erwin Swiney | Erwin Swiney | Tackles | Tackles | Tackles | Tackles | Tackles | Interceptions | Interceptions | Interceptions | Interceptions |
| Year | School | Conf | G | GS | Solo | Ast | Tot | Sacks | Sacks-Yards | Int | PD | FF | FR |
| 1997 | Nebraska | B12 | 13 | 10 | 18 | 11 | 29 | 0 | 0 | 2 | 5 | 0 | 2 |
| 1998 | Nebraska | B12 | 13 | 13 | 34 | 29 | 63 | 2 | 2–12 | 0 | 13 | 0 | 1 |
| 2000 | Nebraska | B12 | 12 | 10 | 19 | 6 | 25 | 0 | 0 | 1 | 13 | 0 | 0 |
| 2001 | Nebraska | B12 | 10 | 3 | 14 | 4 | 26 | 0.5 | 0.5-3 | 2 | 13 | 1 | 0 |
Notes - Statistics include bowl game performances.
# The Greeks and the Trojans Fighting over the Body of Patroclus

The Greeks and the Trojans Fighting over the Body of Patroclus is an oil painting by Antoine Wiertz. Several versions of the painting exist. The first was made in year 1836 (Musée des beaux-arts de Liège).

## Description

The painting's dimensions are 395 x 703 centimeters. It is in the collection of the Antoine Wiertz Museum, one of the Royal Museums of Fine Arts of Belgium.

## Gallery

* From Antoine Wiertz Museum (1844)
* Smaller copy in KMSKA
# Lissajous

Lissajous may refer to
# Lissadell

Lissadell (Irish: Lios an Daill Uí Dálaigh, meaning 'O'Daly's Court of the Blind') is the name of an area in north County Sligo on Magherow peninsula west of Benbulben. Until the late 16th century Lissadell was part of the tuath of Cairbre Drom Cliabh under the Lords of Sligo, Ó Conchobhair Sligigh. Lissadell is also now the name of the demesne which is attached to Lissadell House.

## History

The land was attached to Drumcliff monastery from the 6th century, and was under the Ó Beóllán erenachs of Drumcliff. With the dissolution of the monasteries act coming into force in the west of Ireland after the Nine Years War the land was granted to Sir Paul Gore, a cavalry officer in the Elizabethan army. He built a fortified house at Ardtermon on the termon lands belonging to Drumcliff and is the ancestor of the Gore Booths of Lissadell house. His career is recounted in the Lissadell papers held in the northern Ireland Records Office.
"Paul, the founding Gore in Ireland, '... was commander of a troop of horse under Robert, Earl of Essex. He was ordered by Mountjoy to escort the last two Irish chieftains, Rory O'Donnell and Sir Donough O'Connor, to submit to Queen Elizabeth. He delivered them safely to Athlone and, in recognition, he was granted lands by the Queen. In 1608 he was ordered to take Tory Island which was occupied by a large number of Irish. He had only a small force but he contrived to set the Irish fighting among themselves and then massacred the victors. He was awarded more lands by James I in appreciation, created a baronet of Ireland in 1622 [and died in 1629]."

## Muireadhach Albanach Ó Dálaigh

Lissadell was the location in the 13th century of the important Ollamh of Poetry to the King of Tir Conaill Muireadhach Albanach Ó Dálaigh who killed a tax collector for his insolence with an axe here in 1213. He was forced into exile and fled to Scotland where he went on to found the MacVurich schools of poetry. It is believed he went on the fifth crusade to Damietta in Egypt. He was an early master of the formal Dán Díreach style of poetry. His presence here indicates a school of poetry was in existence in the 12th and early 13th century.