OpenLLM-France/wikimedia huggingface dataset:
# IP set

In mathematics, an IP set is a set of natural numbers which contains all finite sums of some infinite set.
The finite sums of a set D of natural numbers are all those numbers that can be obtained by adding up the elements of some finite nonempty subset of D. The set of all finite sums over D is often denoted as FS(D). Slightly more generally, for a sequence of natural numbers (n$_i$), one can consider the set of finite sums FS((n$_i$)), consisting of the sums of all finite length subsequences of (n$_i$).
A set A of natural numbers is an IP set if there exists an infinite set D such that FS(D) is a subset of A. Equivalently, one may require that A contains all finite sums FS((n$_i$)) of a sequence (n$_i$).
Some authors give a slightly different definition of IP sets: They require that FS(D) equal A instead of just being a subset.
The term IP set was coined by Hillel Furstenberg and Benjamin Weiss to abbreviate "infinite-dimensional parallelepiped". Serendipitously, the abbreviation IP can also be expanded to "idempotent" (a set is an IP if and only if it is a member of an idempotent ultrafilter).

## Hindman's theorem

If $S$ is an IP set and $S=C_{1}\cup C_{2}\cup \cdots \cup C_{n}$, then at least one $C_{i}$ is an IP set. This is known as Hindman's theorem or the finite sums theorem. In different terms, Hindman's theorem states that the class of IP sets is partition regular.
Since the set of natural numbers itself is an IP set and partitions can also be seen as colorings, one can reformulate a special case of Hindman's theorem in more familiar terms: Suppose the natural numbers are "colored" with n different colors; each natural number gets one and only one color. Then there exists a color c and an infinite set D of natural numbers, all colored with c, such that every finite sum over D also has color c.
Hindman's theorem is named for mathematician Neil Hindman, who proved it in 1974. The Milliken–Taylor theorem is a common generalisation of Hindman's theorem and Ramsey's theorem.

## Semigroups

The definition of being IP has been extended from subsets of the special semigroup of natural numbers with addition to subsets of semigroups and partial semigroups in general. A variant of Hindman's theorem is true for arbitrary semigroups.
# Amor salvaje

Amor salvaje (Wild Love) is a Mexican drama film directed by Juan Orol. It was released in 1950 and starring Rosa Carmina and Víctor Junco.

## Plot

Alma Luz (Rosa Carmina) leaves Panama to go live with her aunt Antonia (Dalia Iñiguez) and Manuel (Victor Junco), her husband in México. There she meets Julio (José Pulido), who tries to conquer her, but she rejects him because she is in love with Manuel. Julio to learn the relationship between her and her uncle, faces Manuel causing a tragedy.

## Cast

* Rosa Carmina ... Alma Luz
* Víctor Junco ... Manuel
* Dalia Iñiguez ... Antonia
* José Pulido ... Julio
* Wolf Ruvinskis
* Juanita Riverón

## Reviews

About this film the Cuban-Mexican actress Rosa Carmina reveals: This film has a very strong argument to something like La Malquerida. An insane love between the niece and the aunt's husband. At that time this was very strong, now we die of laughter. The argument was written by José G. Cruz. We shot a lot with José G. Cruz; he is a person who has the gift to reach out to the people, to the public. He has that magic wand to know what you like and what you dislike. His arguments are classic comics of the popular culture.
In this film Rosa Carmina dances a Joropo that was written for her:
I'm going to Havana and never come back, because Carmina's love will kill me...
Rosa Carmina also revealed: I learned to dance joropo, wearing maracas in my sandals and poured sugar on the floor to set the pace.
# BIHAMK

BIHAMK or Bosanskohercegovački auto-moto klub (in English: Bosnia and Herzegovina Automobile and Motorcycle Club), as one of the three main Bosnian motoring clubs (along with AAMKBIH and AMSRS), is a local equivalent to the American AAA or British AA. BIHAMK continues the tradition of Bosnia-car racing-motorcycle association (Bosanskohercegovačko automobilističko društvo) founded 7 February 1946 and the Automobile Association of BiH (Auto-moto savez BiH) founded in 1947.
BIHAMK plays a special role in the field of public information about the condition of the roads in Bosnia and Herzegovina. It also provides technical assistance to drivers, issues International Driving Permits and other such documents for Bosnian drivers and publishes informative tourist brochures and maps for Bosnia and Herzegovina and Europe.
BIHAMK works in the field of traffic prevention and education, monitoring road safety, suggesting methodological improvements to relevant authorities and producing various manuals in the field of accident prevention notably.
The club enjoys reciprocal membership with many other European and international motoring clubs and encourages the development and improvement of motorsport within the international rules and norms.

## International membership

BIHAMK is a full member of:
* FIA - Fédération Internationale de l' Automobile
* AIT - Alliance Internationale de Tourisme
* FIM - Fédération Internationale de Motocyclisme
* EuroRAP - European Road Assessment organisation (since 2006.)
* ARC Europe - European Association of motoring clubs ( since 2007. participate in „Show your Card“ programme)
# Khan Jaqmaq

Khan Jaqmaq (Arabic: خَان جَقْمَق, romanized: Ḵān Jaqmaq) is one of the few remaining khans in the Old City of Damascus, it was built by the Mamluk emir, Sayf ad-Din Jaqmaq who was governor of Damascus in 1418–20. It was rebuilt to a great extent in 1601.

## Gallery

* Khan Jaqmaq, characterized by its arcaded domes
* Khan Jaqmaq featuring a traditional market
# Esteban Eguía

Esteban Eguía Hormaechea (2 May 1890 – 20 May 1934) was a Spanish footballer who played as a forward for Athletic Bilbao, winning three consecutive Copa del Rey titles between 1914 and 1916.

## Biography

Born in Getxo, Eguía began playing football with his hometown club Bilbao FC, where he featured alongside future teammate Pichichi. Both of them then joined Athletic Club, with Eguía making his debut on 17 March 1913, in the semifinals of the 1913 Copa del Rey Athletic won 3–0 against Real Madrid, and then he featured in the final on 23 March in which Athletic lost 0–1 to Racing de Irún, through a goal from Manuel Retegui. He went on to play a pivotal role in Athletic's three consecutive Copa del Rey titles between 1914 and 1916, starting in two finals, helping his side to a 2–1 victory over FC Espanya in 1914, and then to a 4–0 trashing of Madrid FC in 1916.
Notably, Eguía also participated in the inaugural match of the San Mamés stadium, on 21 August 1913, in which he assisted Pichichi to the first goal in the history of the cathedral. Eguía retired in 1918, at the age of 28, having played 42 official matches, which was a very high number for the amateur era.
Professionally, Eguía was a carpenter, being a strict worker who disarmed his opponents with the same care he showed in carpentry. Eguía died on 20 May 1934, at the age of 44.

## Honours

Athletic Club
* Biscay Championship:
** Winners (1): 1914, 1915, and 1916
* Copa del Rey:
** Runner-up (1): 1913
** Winners (3): 1914, 1915, and 1916
# Into the Void (video game)

Into the Void is a video game developed by American studio Adrenalin Entertainment and published by Playmates Interactive Entertainment for DOS in 1997.

## Gameplay

Into the Void is a science fiction turn-based strategy game in which the player colonizes planets and destroys rival civilizations to establish an empire.

## Reception

Next Generation reviewed the PC version of the game, rating it three stars out of five, and stated "While it doesn't break a whole lot of new ground, Into the Void is a solid enough game that should please most."

## Reviews

* Computer Gaming World #155 (Jun 1997)
* PC Games - May, 1997
* PC Player (Germany) - Jun, 1997
* GameSpot - Mar 08, 1997
* GameRevolution - Jun 05, 2004
# Area 51: Site 4

Area 51: Site 4 is a light gun arcade game developed by Atari Games and released in 1998. It is a sequel to the original Area 51, picking up where that game left off. Though the graphics have been improved, they rely on the same FMV streaming technology as the original, and the gameplay remains largely the same as the original game.

## Gameplay

The game is divided into two sections, "Field Exercises" and "Beyond Area 51," and the player may choose which one to play first. Field Exercises allows the player to choose one of three levels (Sites 1, 2, and 3), ranked by difficulty and each consisting of six missions that may be played in any order. Every mission requires the player to meet a stated objective, such as shooting a set number of attacking zombies or aliens, destroying missiles before they can reach Earth, or stopping aliens from overturning a bus. One life is lost whenever the player fails a mission, and the success threshold is set lower for the next attempt; if all lives are lost, the game ends. The player earns a score bonus for completing all six missions at a site, and can earn special weapons or unlock secret areas by shooting certain objects in the background.
Beyond Area 51 sends the player to Site 4, in a mission resembling gameplay of the original Area 51. Special weapons earned in the Field Exercises can be used during this portion of the game, in which the player enters a vast warehouse infested by aliens. The final boss is a giant alien queen with multiple limbs, who must be destroyed within a time limit. The game ends when the player either runs out of lives due to shooting S.T.A.A.R. agents or being hit by enemy attacks, or runs out of time without destroying the queen.
After the game is beaten, a short sequence of clips is played involving S.T.A.A.R. members, ending with the message, "S.T.A.A.R. Wants You!" similar to the real-world Uncle Sam army recruitment posters. The intro is only seen in attract mode as an intro loop. The end credits can only be seen after playing without entering initials.

## Reception

The Atari Times gave the game a positive review, stating "I cannot tell you enough that this game is very good. I mean it has great graphics, It has OK sound, amazing control and incredible gameplay. I mean, what more could you ask for in an arcade shooter?"
# Mary Louisa Chitwood

Mary Louisa Chitwood (October 29, 1832 – December 19, 1855) was an American writer of poetry and prose. She wrote for the Louisville Journal, The Ladies' Repository, The Genius of the West, Arthur's Home Gazette, the Odd-Fellow's Ark, and other papers and magazines. A contemporary of Sarah T. Bolton, Chitwood was befriended by George D. Prentice, who was her literary counselor.

## Early life and education

Mary Louisa Chitwood was born on October 29, 1832, on a farm near the village of Mount Carmel, Franklin County, Indiana. Although she died before she was 23 years of age, she left more than 1,000 poems. Her earliest education was at the Center School House. Here, she came under the influence of the teacher, George A. Chase, who had recently relocated from the East Coast. Early recognizing her unusual gifts and ability, he encouraged her writing. For a short time, she was his assistant teacher.
The mother, Mary A. Tucker, wrote some verses that were published in the country newspapers. Aside from this companionship, Chitwood’s communication with other writers was through the correspondence associated with the publication of her poems.

## Career

Her first published poem appeared in the Brookville American when she was 12 years of age, and received complimentary remarks from the editor. At least one-third of her poems were never published, and those that were published were selected and edited by Prentice, the editor of the Louisville Courier. Prentice issued this volume two years after her death and since that time, other editions were printed. In addition to her poetry, Chitwood wrote prose that many felt was equal or superior to her poetry. Both her prose and poetry carry a strain of sadness that conveys the idea that there was something she longed for but never received.
Chitwood was a regular contributor to The Ladies' Repository. She was also the assistant editor of The Ladies’ Temperance Wreath, published at Connersville, which she co-founded with Lavinia Brownlee. She had a horror of drunkenness and some of her strongest poems were on that subject. She had strong convictions on slavery and it has been said that the poem written just before her death in 1855, “Ode to the New Year,” found its way into every abolition paper in England and America. Her poems were reprinted widely throughout the US in the papers, some appeared in various school readers, some were set to music, and hundreds were recited from the platform and pulpit.

## Personal life

Chitwood lived her entire life in Mount Carmel. She died there 19 December 1855 and is buried in South Park cemetery in Greensburg.
# Darreh Heydar

Darreh Heydar (Persian: دره حيدر, also Romanized as Darreh Ḩeydar, Darreh Heidar, and Darreh-ye Ḩeydar) is a village in Khomeh Rural District, in the Central District of Aligudarz County, Lorestan Province, Iran. At the 2006 census, its population was 150, in 34 families.
# Malek Mohammadabad

Malek Mohammadabad (Persian: ملك محمداباد, also Romanized as Malek Moḩammadābād) is a village in Gowhar Kuh Rural District, Nukabad District, Khash County, Sistan and Baluchestan Province, Iran. At the 2006 census, its population was 16, in 5 families.
# Uchalinsky District

Uchalinsky District (Russian: Учали́нский райо́н; Bashkir: Учалы районы, Uçalı rayonı) is an administrative and municipal district (raion), one of the fifty-four in the Republic of Bashkortostan, Russia. It is located in the east of the republic and borders with Chelyabinsk Oblast in the north, east, and south, Abzelilovsky District in the south, and with Beloretsky District in the west. The area of the district is 4,510 square kilometers (1,740 sq mi). Its administrative center is the town of Uchaly (which is not administratively a part of the district). As of the 2010 Census, the total population of the district was 35,480.

## History

In 1824 the tsar Alexander I visited the deposit Tashkutargan which was later named the «Tsarevo-Alexander gold-field» in his honour. They say that following his accompanies’ advice he went down to the mine, got 22 poods of sand and «discovered» a nugget weighing more than three kilograms and took it as a souvenir. The Tsarevo-Alexander gold-field gave 6,400 kg of gold within 18 years. Nikifor Sutkin, a serf, found the largest nugget of gold weighing 36 kg. It was sent to St. Petersburg. Now it is known as the «Large Triangle» and kept in the Diamond Fund of the former Soviet Union.
The district was established in 1930.

## Administrative and municipal status

Within the framework of administrative divisions, Uchalinsky District is one of the fifty-four in the Republic of Bashkortostan. It is divided into eighteen selsoviets, comprising eighty-seven rural localities. The town of Uchaly serves as its administrative center, despite being incorporated separately as a town of republic significance—an administrative unit with the status equal to that of the districts.
As a municipal division, the district is incorporated as Uchalinsky Municipal District, with the town of republic significance of Uchaly being incorporated within it as Uchaly Urban Settlement. Its eighteen selsoviets are incorporated as eighteen rural settlements within the municipal district. The town of Uchaly serves as the administrative center of the municipal district as well.

## Demographics

In terms of ethnic composition, as of the 2010 Census 64.3% of the population were Bashkirs, 15.9% were Tatars, and 18.2% were Russians, with 1.6% accounting for other ethnicities.
# Dyje (Znojmo District)

Dyje (German: Mühlfraun) is a municipality and village in Znojmo District in the South Moravian Region of the Czech Republic. It has about 500 inhabitants.
Dyje lies approximately 7 kilometres (4 mi) east of Znojmo, 53 km (33 mi) south-west of Brno, and 185 km (115 mi) south-east of Prague.
# Hunting and fishing in Alaska

Hunting and fishing in Alaska are common both for recreation and subsistence.

## Hunting

Alaska is a popular hunting destination. Hunters come from all over the world to hunt big game animals such as the brown bear, black bear, moose, and caribou. Mountain goat hunts are also quickly becoming a rising interest to hunters. The reason as to why Alaska is such a popular hunting destination is because it is home to some of the world’s largest big game animals. Alaska’s species of brown bear and moose are the largest in the world. According to the Boone and Crockett Club, Alaska has a rich history of world record brown bear, moose, and caribou, taken by various hunters. Hunters are able to partake in an Alaskan hunt by obtaining hunting licenses and game tags, and also following the areas laws and regulations. The most common weapons among hunters are rifles, large handguns, and bows.

## Fishing

With a land area of 586,412 square miles (1,518,800 km$^2$), not counting the Aleutian islands, Alaska is one-fifth the size of lower 48 states, and as Ken Schultz notes in his chapter on Alaska "Alaska is a bounty of more than 3,000 rivers, more than 3 million lakes, and some 34,000 miles of coastal shoreline — numbers that stagger the imagination, underscore the wealth of opportunities for anglers, and translate into some of North America’s premier fishing." A greater percentage of Alaskans fish than residents of any other state. Alaska features several different types of fishing. The two most popular are salmon fishing and halibut fishing. Homer claims the title of “halibut fishing capital of the world.” Other common types of fishing are deep sea fishing, fly fishing, and ice fishing. Fishermen have a variety of fish that they can catch including: salmon, various species of trout, northern pike, arctic char, dolly varden, and grayling. Alaska Fishing Licenses are required by law in Alaska for both residents and non-residents.
# Deh-e Kabuter Pirzal

Deh-e Kabuter Pirzal (Persian: ده كبوترپيرزال, also Romanized as Deh-e Kabūter Pīrzāl) is a village in Dehdasht-e Sharqi Rural District, in the Central District of Kohgiluyeh County, Kohgiluyeh and Boyer-Ahmad Province, Iran. At the 2006 census, its population was 96, in 18 families.
# Salu Mahalleh

Salu Mahalleh (Persian: سالومحله, also Romanized as Sālū Maḩalleh) is a village in Reza Mahalleh Rural District, in the Central District of Rudsar County, Gilan Province, Iran. At the 2006 census, its population was 251, in 79 families.
# Marvast Castle

Marvast castle (Persian: قلعه مروست) is a historical castle located in Khatam County in Yazd Province. The longevity of this fortress dates back to the historical periods after Islam.
# Abu al-Hassan al-Amiri

Abu al-Hassan Muhammad ibn Yusuf al-Amiri (Persian: ابوالحسن محمد بن ابی ذر یوسف عامری نیشابوری, romanized: Abu’l-Ḥasan Muḥammad Ibn Abi Dharr Yūsuf ʻĀmirī Neyshābūrī) (Arabic: أبو الحسن محمد ابن يوسف العامري) (died 992) was a Muslim theologian and philosopher who attempted to reconcile philosophy with religion, and Sufism with conventional Islam. While al-'Amiri believed the revealed truths of Islam were superior to the logical conclusions of philosophy, he argued that the two did not contradict each other. Al-'Amiri consistently sought to find areas of agreement and synthesis between disparate Islamic sects. However, he believed Islam to be morally superior to other religions, specifically Zoroastrianism and Manicheism.
Al-Amiri was the most prominent Muslim philosopher following the tradition of Kindi in Islamic Philosophy. He was a contemporary of Ibn Miskawayh as well as his friend, and lived in the half century between Al-Farabi and Ibn Sina. He was a polymath who wrote on "...logic, physics, psychology, metaphysics, ethics, biology and medicine, different religions, Sufism and interpretation of the Qurʾān, as well as of dreams".

## Life and education

Abu'l Hasan Muhammad ibn Yusuf al-'Amiri was born in Nishapur, Khorasan, in modern-day Iran. He began his career studying under Abu Zayd al-Balkhi in Khurasan, before moving to Rey and ultimately Baghdad. It was in Baghdad where he met noted 10th-century intellectuals such as al-Tawhidi and Ibn Miskawayh.
Al 'Amiri retired to Bukhara, where he had access to the Samani library, and died in Nishapur in 992. He believed that philosophy did not contradict the teachings of Islam and tried to focus and base his beliefs on both philosophy and Islam. His views contrasted with other philosophers who believed that philosophy's teachings are very different from Islam's or any other cultures. Al-'Amiri argued that revealed truth must be superior to philosophy. Al-'Amiri believed that the ancient Greeks did not have a final say on philosophy because, as a society, the Greeks lacked a prophet who had a final say in all its forms. Al-'Amiri's sought to defend Islam against forms of philosophy which were regarded as independent of revelation.

## Works

* al-I'lam bi manaqib al-Islam (An Exposition on the Merits of Islam)
* Inqadh al-bashar min al jabr wa'l-qadar (Deliverance of Mankind from the Problem of Predestination and Free Will). Here al-'Amiri attempts a resolution of the problem of free will by the application of Aristotelian principles.
* al-Taqrir li-awjuh al-taqdir (The Determination of the Various Aspects of Predestination) al-'Amiri continues to address the problem of free will.
* Kitab al-amad 'ala'l-abad (On the Afterlife).
# Ajax Engines

Ajax is a brand of integral engine / compressor manufactured by the original equipment manufacturer, Cooper Machinery Services ). Ajax is the oldest continuous engine product line manufactured in the United States and has been utilized in the oil and gas industry for 130+ years. Ajax integral engine-compressors are gas compressors with built-in reciprocating engines. Their compact design and gas drive make them useful for field installation and work.

## History

The Ajax Iron Works started in 1877 in Corry, Pennsylvania, manufacturing steam engines. In 1895, the company added gas engines to its product line, and would continue to manufacture gas and steam until the latter was discontinued following World War II. Starting in 1946, Ajax gas engines became a primary product utilized by oil and gas companies. In 1958, the first Ajax integral engine / compressor was manufactured and was specifically designed for field gas gathering applications. It was a DPC 230 and was soon followed by a complete line of Ajax integral engine-compressors from 30-360 horsepower. In 1963, the company was bought by the Cooper Cameron Corporation (Cameron). In response to demand for a larger Ajax, the DPC 600 was introduced in 1976. This was followed by the DPC 800 in 1984. Cooper Machinery Services is the current original equipment manufacturer for Ajax engines and compressors.

## Today

In the 1990s, the Ajax DPC 2200 series and the DPC 2800 series were created and are still manufactured today. Cooper Machinery Services is the current original equipment manufacturer for AJAX engines.
# Khalifeh Mahalleh

Khalifeh Mahalleh (Persian: خليفه محله, also Romanized as Khalīfeh Maḩalleh) is a village in Chini Jan Rural District, in the Central District of Rudsar County, Gilan Province, Iran. At the 2006 census, its population was 290, in 106 families. Davoud Khani (Persian: داوود خانی لنگرودی, is a Persian poet from this village.
# Sharvand

Sharvand (Persian: شاروند, also Romanized as Shārvand; also known as Sharband) is a village in Zalaqi-ye Sharqi Rural District, Besharat District, Aligudarz County, Lorestan Province, Iran. At the 2006 census, its population was 48, in 9 families.