OpenLLM-France/wikimedia huggingface dataset:
# Category of relations

In mathematics, the category Rel has the class of sets as objects and binary relations as morphisms.
A morphism (or arrow) R : A → B in this category is a relation between the sets A and B, so R ⊆ A × B.
The composition of two relations R: A → B and S: B → C is given by
    (a, c) ∈ S o R ⇔ for some b ∈ B, (a, b) ∈ R and (b, c) ∈ S.
Rel has also been called the "category of correspondences of sets".

## Properties

The category Rel has the category of sets Set as a (wide) subcategory, where the arrow f : X → Y in Set corresponds to the relation F ⊆ X × Y defined by (x, y) ∈ F ⇔ f(x) = y.
A morphism in Rel is a relation, and the corresponding morphism in the opposite category to Rel has arrows reversed, so it is the converse relation. Thus Rel contains its opposite and is self-dual.
The involution represented by taking the converse relation provides the dagger to make Rel a dagger category.
The category has two functors into itself given by the hom functor: A binary relation R ⊆ A × B and its transpose R$^T$ ⊆ B × A may be composed either as R R$^T$ or as R$^T$ R. The first composition results in a homogeneous relation on A and the second is on B. Since the images of these hom functors are in Rel itself, in this case hom is an internal hom functor. With its internal hom functor, Rel is a closed category, and furthermore a dagger compact category.
The category Rel can be obtained from the category Set as the Kleisli category for the monad whose functor corresponds to power set, interpreted as a covariant functor.
Perhaps a bit surprising at first sight is the fact that product in Rel is given by the disjoint union$^{:181}$ (rather than the cartesian product as it is in Set), and so is the coproduct.
Rel is monoidal closed, if one defines both the monoidal product A ⊗ B and the internal hom A ⇒ B by the cartesian product of sets. It is also a monoidal category if one defines the monoidal product by the disjoint union of sets.
The category Rel was the prototype for the algebraic structure called an allegory by Peter J. Freyd and Andre Scedrov in 1990. Starting with a regular category and a functor F: A → B, they note properties of the induced functor Rel(A,B) → Rel(FA, FB). For instance, it preserves composition, conversion, and intersection. Such properties are then used to provide axioms for an allegory.

## Relations as objects

David Rydeheard and Rod Burstall consider Rel to have objects that are homogeneous relations. For example, A is a set and R ⊆ A × A is a binary relation on A. The morphisms of this category are functions between sets that preserve a relation: Say S ⊆ B × B is a second relation and f: A → B is a function such that $xRy\implies f(x)Sf(y),$ then f is a morphism.
The same idea is advanced by Adamek, Herrlich and Strecker, where they designate the objects (A, R) and (B, S), set and relation.
# Catascia

Catascia is a genus of moths in the family Geometridae.
# Maggie Scott, Lady Scott

Margaret Elizabeth Scott, Lady Scott (born 1960, Nairobi, Kenya) is a Scottish lawyer who was appointed a judge in 2012.

## Early life and education

Scott was born in 1960 in Nairobi, Kenya. She graduated from University of Edinburgh with a Bachelor of Laws (LLB) degree and from the University of Strathclyde with a Diploma in Legal Practice (DipLP).

## Legal career

Scott was admitted as a solicitor in 1989, and she was called to the bar in Scotland (the Faculty of Advocates) in 1991. She "took silk" (became a Queen's Counsel) in 2002. She has acted as lead counsel in a number of high-profile appeal cases such as the Lockerbie bombing and the Glasgow Ice Cream Wars, in which she defended Abdelbaset al-Megrahi and Thomas "TC" Campbell, respectively. She was also successful in the appeal case of Kim Galbraith, whose murder conviction for shooting her policeman husband was reduced to diminished responsibility.

### Megrahi's second appeal

On 6 November 2008, Scott applied to the Court of Criminal Appeal for Megrahi's release on bail pending the second appeal against his conviction at the Pan Am Flight 103 bombing trial in 2001. The three judges reserved their judgment on the application. A week later, Megrahi's bail application was refused. Megrahi was told he would remain in jail for the duration of his second appeal.

### Judicial career

From 2003 to 2012, Scott was a part-time sheriff. On 2 November 2012, she was installed as a Senator of the College of Justice, taking the judicial title Lady Scott.

### Controversy

Scott provoked public anger in July 2013 when sentencing a man convicted of several incidences of rape, as she appeared to praise him for having overcome his difficult background and succeeded at running a business. Her comment was viewed as inappropriate, with the Scottish Conservative Chief Whip John Lamont arguing that, "plenty of people have had tough lives ... but don’t rape anyone."
In March 2017, Scott granted a man who confessed to the rape of a 12-year-old child an absolute discharge. Although Scott acknowledged that Scottish law dictates an individual under the age of 13 is considered incapable of giving consent in any circumstance, she stated that the victim was not distressed and that all eyewitnesses believed her to be over 16. Rape Crisis England and Wales critiqued Scott's ruling, saying that, as a 12-year-old has no legal capacity to consent, sexual activity with them is always illegal. Moreover, it is an adult's responsibility to ensure that their partner is capable of giving consent. In a letter published after the trial, the victim claimed that she was unconscious at the time of the attack, further calling into question her ability to consent.

## Personal life

Scott's partner is Frank Richard Crowe, a sheriff. Together they have one son.
# Cathi Albertyn

Catherine Hester Albertyn is a South African academic who is a professor of law at the University of the Witwatersrand, where she holds the South African Research Chair in Equality, Law and Social Justice. Known for her work in constitutional law, she has been a professor at the university since 2001 and formerly ran its Centre for Applied Legal Studies between 2001 and 2007. She has also served as a commissioner at the Commission for Gender Equality and the South African Law Reform Commission.

## Education

She entered the University of Cape Town in 1977, completing a BA in 1979 and a LLB in 1982. Thereafter she attended the University of Cambridge, where she received an MPhil in criminology and law in 1984 and a PhD in law in 1992. While completing her PhD, in 1991, Albertyn was admitted as an attorney of the High Court of South Africa.

## University of the Witwatersrand

Between 1992 and 2007, Albertyn worked at the Centre for Applied Legal Studies (CALS), a research and litigation institute attached to the University of the Witwatersrand (Wits) in Johannesburg. She was a senior researcher and head of the CALS Gender Research Project from 1992 to 2001. At the same time, President Nelson Mandela appointed her to the inaugural Commission for Gender Equality in 1997, and she was hired by Wits as an associate professor of law in 1999.
In 2001, Albertyn was promoted to become full professor and overall director of CALS. While she was still holding that position, in 2005, the Judicial Service Commission shortlisted her as a candidate to fill Arthur Chaskalson's empty seat on the Constitutional Court of South Africa. She interviewed for the vacancy in October 2005, but Bess Nkabinde was appointed instead.
Albertyn left her position at CALS at the end of April 2007, but she remained a professor at Wits and also became a commissioner at the South African Law Reform Commission, where she served between 2007 and 2011. In May 2018, the National Research Foundation (NRF) appointed her as South African Research Chair in Equality, Law and Social Justice. The chair is hosted by Wits, where she remains a professor of law.

## Scholarship

Albertyn is rated a B1-level researcher by the NRF. Her research focuses on constitutional law and social justice, with a particular interest in equality and gender equality. An article by Albertyn about substantive equality, published in 2018 in the South African Journal on Human Rights, was cited in the Constitutional Court's judgement in Mahlangu v Minister of Labour.

## Other positions

Albertyn co-founded the Reproductive Rights Alliance while she was at CALS. She has also served on the executive board of the Council for the Advancement of the South African Constitution, as well as on the editorial boards of the South African Journal on Human Rights, the University of Oxford Human Rights Hub Journal, and the South African Judicial Education Journal.

## Other honours

Albertyn is a member of the Academy of Science of South Africa. In October 2023, Wits awarded her its Supervision Award in recognition of her excellent record in postgraduate student supervision.
# Catharsius pithecius

Catharsius pithecius, is a species of dung beetle found in India, Sri Lanka, Pakistan and China.

## Description

This oval, very convex species has an average length of about 15 to 23 mm. Body black and shiny. Pronotum partly or entirely opaque. Antennae, and mouthparts are reddish. Legs and ventrum covered with reddish hairy clothing. Head semi-circular, where there is a slender horn in shiny head in male arising just in front of eyes. Female has more deeply sculptured and less shiny head. Clypeus very feeble and closely strigose. In males, there is a slight sharp conical protuberance on each side of the median line in pronotum. Whereas, female has a median longitudinal furrow in the basal part of pronotum. Elytra fine and distinctly striate. Pygidium fine and punctured. Elytra not very dense and there are two very prominent tubercles on pronotum.
Mites such as Poecilochirus coimbatorensis, Macrocheles scarabae and Pachylaelaps catharsiae are closely associated with the adult beetles.
# Bova Marina

Bova Marina (Calabrian Greek: Γιαλός του Βούα, Jalò tu Vunà; Calabrian: A Marìna) is a comune (municipality) in the Metropolitan City of Reggio Calabria in the Italian region Calabria, located about 120 kilometres (75 mi) southwest of Catanzaro and about 30 kilometres (19 mi) southeast of Reggio Calabria.
Bova Marina borders the following municipalities: Bova, Condofuri, Palizzi.
As evidenced by the above Greek place names, Bova Marina is one of the places where the Greek–Calabrian dialect is still spoken, a remnant of the ancient Greek colonization of Magna Graecia (South Italy and Sicily).

## Main sights

In 1983, during excavations for roadwork, the ruins of the Bova Marina Synagogue were discovered. This is the second oldest confirmed site of a synagogue in Italy, the oldest being the ancient synagogue of Ostia Antica near Rome. Parts of the ancient mosaic floor are still intact, which display ancient Jewish symbols, such as the menorah and Solomon's knot.
The building consisted of two square rooms, the first serving as a vestibule. The mosaic floor has a border with a motif of leaves and fruits and contains sixteen squares with geometric designs (the rosette and the so-called "Solomon's knot"), which leave room for the symbols of the menorah (in the centre), of 'ethrog (the cedar) and the palm branch (right) and the shofar (left).
# Maha Corbett

Maha Corbett is an Australian author and web entrepreneur.
Corbett and her sister Sally Obermeder wrote the books Super Green Smoothies, The Good Life and Simple and Lean. She is the co-founder and director of swiish.com.

## Education and early career

Corbett attended James Ruse Agricultural High School in Carlingford, New South Wales. She completed a Bachelor of Arts in the Division of Psychology at Macquarie University in 2006. In 2016, Corbett completed studies in health and nutrition through education, gaining accreditation with the International Institute for Complementary Therapists.
From 1999 to September 2010, Corbett worked as the Head of Investment Bank Human Resources. Corbett moved into a role as a Head of human resources at ANZ in 2010, where she was worked until March 2013.

## Career

In November 2012, Corbett and Obermeder launched swiish.com. The website focuses on living a stylish and affordable lifestyle. In 2015, swiish.com expanded into an online store.
In September 2014, Corbett and Obermeder released the e-book Super Green Smoothies In April 2015, Allen and Unwin published an extended paperback version of the book. The book is in its 12th reprint and has sold over 130,000 copies. In March 2016, the sisters released their cookbook, The Good Life.
Corbett and Obermeder launched their Super Green Smoothie 30 Day Smoothie Challenge. The challenge requires participants to drink one super green smoothie every day for 30 days, using the recipes provided.
In November 2016, Corbett and Obermeder launched Swish Wellness, an all-natural products brand. In September 2017, they released their third cookbook, Super Green, Simple and Lean.
# Cathie Craigie

Cathie Craigie (born 14 April 1954) is a former Scottish Labour politician who served as Member of the Scottish Parliament (MSP) for the Cumbernauld and Kilsyth constituency from 1999 to 2011.

## Early life and career

Craigie was born in Stirling on 14 April 1954. She was a district councillor of Cumbernauld and Kilsyth from 1984 to 1994 and district leader from 1994 to 1996. She served as a North Lanarkshire councillor between 1996 and 1999.

## Parliamentary career

Craigie was first elected to the Scottish Parliament at the 1999 election. She was re-elected to represent the Cumbernauld and Kilsyth constituency in 2003 with a majority of 520 votes and in 2007 with an increased majority of 2,079. However, at the 2011 election, she lost her seat to Jamie Hepburn of the Scottish National Party (SNP) by 3,459 votes.
Craigie was a member of the Justice Committee and the Petitions Committee in the Scottish Parliament. She was the first woman to successfully steer a Member's Bill, The Mortgage Rights (Scotland) Act, which provides greater protection for those facing repossession, through the parliament. Craigie was also the convenor of the Cross-Party group on Deafness, and was in the process of steering a British Sign Language Bill through the Scottish Parliament before losing her seat.
# Cathayanthe

Cathayanthe biflora is a species of flowering plant belonging to the family Gesneriaceae. It is a perennial or rhizomatous geophyte native to Hainan and northern Vietnam. It is the sole species in genus Cathayanthe.
# Cathaymyrus

Cathaymyrus is a genus of Early Cambrian chordate known from the Chengjiang biota in Yunnan Province, China. Both species have a long segmented body with no distinctive head. The segments resemble the v-shaped muscle blocks found in cephalochordates such as Amphioxus. A long linear impression runs along the "back" of the body looking something like a chordate notochord.
While some authors have suggested that the genus is a cephalochordate and closely related to living lancelets, other authors have disputed this due to the poor preservation of the head region, considering its placement within Chordata uncertain.
# Kitchama

Kitchama is a village located in Baramulla district of Jammu and Kashmir union territory of India. The village has two adjoining areas namely "Sheeri" and "Gantamulla" It is located 0 km towards west from District headquarters Baramulla. 52 km from State capital Srinagar Kashmir its also famous for Fraddy and Ishfaq Parray.
# Kivides

Kivides may refer to:
* Kato Kivides, a village in Cyprus
* Pano Kivides, a village in Cyprus
# Caulerpa sertularioides

Caulerpa sertularioides, also known as green feather algae, is a species of seaweed in the Caulerpaceae family found in warm water environments.

## Description

The seaweed has a pale to dark-green thallus that typically grows to outward to around 0.35 to 2 metres (1.15 to 6.56 ft). It has feather-like fronds that arise from a common stolon. Each of the fronds is upright and branched. The oppositely arranged branchlets are cylindrical to needle-shaped with upcurved tips with a blunt point at the end. Each branchlet has a length of 3 to 11 millimetres (0.118 to 0.433 in) and is attached to a cylindrical axis in the middle with a diameter of 1 to 1.5 mm (0.039 to 0.059 in). Each axis connects each frond to a creeping stolon with a diameter of 2 to 2.5 mm (0.079 to 0.098 in) and a length of up to 2 metres (7 ft). Stolons are branched out to slim points and rhizoids then form from bottom surface these fork and penetrate the sandy substrate firmly anchoring the seaweed to the seafloor.

## Taxonomy

The species was first formally described by the botanist and taxonomist Marshall Avery Howe in 1905 as part of the work Phycological studies - II. New Chlorophyceae, new Rhodophyceae and miscellaneous notes as published in the Bulletin of the Torrey Botanical Club. The basionym is Fucus sertularioides as described by Samuel Gottlieb Gmelin in 1768.

## Distribution

The species is found widely through tropical waters. In the United States it is found from North Carolina to Florida. It is also found throughout the Caribbean around Bermuda, Bahamas, Greater and Lesser Antilles and in the Gulf of Mexico and in the southern Atlantic Ocean to Brazil (Taylor 1979). It is also found in the Pacific Ocean along the Great Barrier Reef in Australia, Papua New Guinea, Philippines and Palau. In Western Australia, it is found along the coast in the Kimberley region extending south to the Gascoyne.
The species is usually part of coastal and estuarine environments where it grows in sandy areas, as seagrass beds or on and around mangrove roots. It is mostly found as a shallow-water specimen to depths of around 10 metres (33 ft) although sparse individuals have been taken from depths of up to 110 metres (361 ft).
# Kiến Giang

Kiến Giang is a township in Lệ Thủy District, Quảng Bình Province, in the North Central Coast region of Vietnam. This township is located on the banks of the Kiến Giang River. The township is the capital of the district. The township's main economic activities is commerce and services for the surrounding rural areas. This township is 3 km south of families of Võ Nguyên Giáp, Ngo Dinh Diem and Nguyễn Hữu Cảnh, Dương Văn An, famous persons in the history of Vietnam. The township has an area of 4.4km2, population of 6,246. The town is prone to flooding due to its position in a low plain created by Kiến Giang river.
# Mahoning, Ohio

Mahoning is a former settlement in Portage County, in the U.S. state of Ohio. It was located at the present-day intersection of North Main Street and Ohio State Route 82 in northern Windham Township, north of the village of Windham.

## History

Mahoning is a name derived from the Delaware language meaning "salt lick". A post office called Mahoning was established in 1878, and remained in operation until 1913. Besides the post office, Mahoning had a station on the Cleveland and Mahoning Valley Railroad.
# Klondike Gold Mine

Klondike Gold Mine was a roller coaster at Funland Hayling Island. It was previously installed at Drayton Manor Theme Park, and transferred in 2005.

## History

The ride was originally installed at Drayton Manor Theme Park in 1984, where it was known as The Python.
In 1995 it was refurbished and renamed to the Klondike Gold Mine. The ride was transferred to Funland Hayling Island in 2005, being replaced by G-Force at Drayton Manor, replacing a roller coaster already on site, and became one of the main rides at Funland. It was replaced by Crazy Mouse style ride called Runaway Mine Train (originally from Gulliver's World).
In 2015, the ride was removed from Funland and was sold to Irish company Euroshow. In late 2018, the ride was sold again to Deggeller Attractions in the United States, becoming the only traveling coaster in the country to feature a loop.
# Sandra Agard

Sandra Agard Hon. FRSL is a British storyteller, writer, literary consultant and cultural historian. She is a published author of short stories and poetry, and for more than 40 years has performed her work, including plays, within the UK as well as internationally. She has worked in libraries as a literature development officer, as well as in art galleries and with community groups in many other settings. In 2022, she was elected an Honorary Fellow of the Royal Society of Literature (RSL) and was the recipient of the RSL's Benson Medal.

## Biography

Sandra A. Agard was born in Hackney, London, to Guyanese parents who had travelled to the UK in the early 1950s.
In a career spanning 40 years, she has been a professional storyteller, author, tutor, playwright, literary consultant, editor and cultural historian, working in educational, cultural institutions, organisations and literary festivals throughout the UK and internationally, including in the United States. Her plays have been performed at such venues as the Royal Court Young People's Theatre, the Polka Theatre, the Lyric Hammersmith and The Drill Hall in London. Publications where her short stories have appeared include Tales, Myths and Legends, Time for Telling and in Malorie Blackman's anthology Unheard Voices.
Her storytelling is characteristically "steeped in African Caribbean oral traditions", and she is best known for her popular interactive stories with children, through which she encourages them to become involved, explaining the inspiration behind the stories. Her recently published work includes the 2019 children's book Harriet Tubman: A Journey to Freedom.
Agard was Centenary Storyteller in Resident at the Roald Dahl Museum and Story Centre, and her other previous employment includes various engagements with organisations such as Southwark and Lewisham Libraries in south-east London, and the Ministry of Stories. She is currently a Learning Facilitator for Schools at The British Library.
In 2022, Agard was elected as an Honorary Fellow of the Royal Society of Literature (RSL). She was also awarded the RSL's Benson Medal, which honours a whole career of service to literature.
# Sandra Adams

Sandra Adams could refer to:
* Sandra E. Adams (born 1956), U.S. Navy admiral
* Sandy Adams (born 1956), American politician
# Introducing Kenny Cox

Introducing Kenny Cox is the debut album by American jazz pianist Kenny Cox featuring performances recorded in 1968 and released on the Blue Note label. The 2000 CD reissue added Cox's second Blue Note album Multidirection as bonus tracks.

## Reception

The Allmusic review by Matt Collar awarded the album 4 stars stating "Though well-versed in the traditions of jazz standards and bop, Cox and his ensemble resemble most closely here the classic Miles Davis quintet of the mid- and late '60s. But rather than merely aping Davis, the Contemporary Jazz Quintet had a muscular and urban group sensibility all its own. In that sense, this is fiery, expansive and cerebral post-bop of the highest order".
Professional ratings :
| Review scores ||
| Source | Rating |
| Allmusic | |

## Track listing

    All compositions by Kenny Cox except as indicated
* "Mystique" - 4:44
* "You" (David Durrah) - 5:28
* "Trance Dance" - 6:08
* "Eclipse" (Leon Henderson) - 5:51
* "Number Four" (Charles Moore) - 10:48
* "Diahnn" (Henderson) - 8:37
* "Spellbound" - 5:23 Bonus track on CD reissue
* "Snuck In" (Moore) - 6:03 Bonus track on CD reissue
* "Sojourn" - 6:36 Bonus track on CD reissue
* "Multidirection" (Moore) - 9:57 Bonus track on CD reissue
* "What Other One" - 4:58 Bonus track on CD reissue
* "Gravity Point" (Moore) - 5:08 Bonus track on CD reissue
   * Recorded at United Sound System, Detroit, Michigan on December 9, 1968 (tracks 1-6) and G.M. Recording Studios, Detroit, Michigan on November 26, 1969 (tracks 7-12).

## Personnel

* Kenny Cox - piano
* Charles Moore - trumpet
* Leon Henderson - tenor saxophone
* Ron Brooks - bass
* Danny Spencer - drums