The Takeuti-Feferman-Buchholz ordinal, sometimes abbreviated to TFBO, is a large countable ordinal, which acts as the limit of (largest number definable using) Buchholz's psi function and Feferman's theta function. It was named by David Madore, after Gaisi Takeuti, Solomon Feferman and Wilfried Buchholz. It is written as in Buchholz's psi function, an OCF invented by Wilfried Buchholz, and in Feferman's theta function, an OCF invented by Solomon Feferman. It is the proof-theoretic ordinal of , a subsystem of second-order arithmetic and - comprehension + transfinite induction.

Peter Rabbit 2: The Runaway (also known simply as Peter Rabbit 2) is a 2021 3D live-action/computer-animated adventure comedy film directed and produced by Will Gluck, who co-wrote the screenplay with Patrick Burleigh. The film is a sequel to 2018's Peter Rabbit produced by Sony Pictures Animation, and is based on the stories of Peter Rabbit created by Beatrix Potter. The film stars the voice of James Corden as the title character, alongside Rose Byrne, Domhnall Gleeson, and David Oyelowo in live-action roles, and the voices of Elizabeth Debicki, Lennie James, and Margot Robbie.

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Beryl May Dent (10 May 1900 – 9 August 1977) was an English mathematical physicist, technical librarian, and a programmer of early analogue and digital computers to solve electrical engineering problems. She was born in Chippenham, Wiltshire, the eldest daughter of schoolteachers. The family left Chippenham in 1901, after her father became head teacher of the then recently established Warminster County School. In 1923, she graduated from the University of Bristol with First Class Honours in applied mathematics. She was awarded the Ashworth Hallett scholarship by the university and was accepted as a postgraduate student at Newnham College in the University of Cambridge.

Modern Times is the 32nd studio album by American singer-songwriter Bob Dylan, released on August 29, 2006, by Columbia Records. The album was the third work (following Time Out of Mind and Love and Theft) in a string of albums by Dylan that garnered wide acclaim from critics. It continued its predecessors' tendencies toward blues, rockabilly and pre-rock balladry, and was self-produced by Dylan under the pseudonym "Jack Frost". Despite the acclaim, the album sparked some debate over its uncredited use of choruses and arrangements from older songs, as well as many lyrical lines taken from the work of 19th-century poet Henry Timrod.

John Gerard Stumpf (born September 15, 1953) is an American business executive and retail banker. He was the chairman and chief executive officer of Wells Fargo, one of the Big Four banks of the United States. He was named CEO in June 2007, elected to the board of directors in June 2006, and named president in August 2005. He became chairman in January 2010. Stumpf left the positions of chairman and CEO of Wells Fargo on October 12, 2016, following a scandal involving customer accounts and subsequent pressure from the public and lawmakers. He was succeeded by Timothy J. Sloan.

Peter Rabbit 2: The Runaway (also known simply as Peter Rabbit 2) is a 2021 3D live-action/computer-animated adventure comedy film directed and produced by Will Gluck, who co-wrote the screenplay with Patrick Burleigh. The film is a sequel to 2018's Peter Rabbit produced by Sony Pictures Animation, and is based on the stories of Peter Rabbit created by Beatrix Potter. The film stars the voice of James Corden as the title character, alongside Rose Byrne, Domhnall Gleeson, and David Oyelowo in live-action roles, and the voices of Elizabeth Debicki, Lennie James, and Margot Robbie. After facing numerous delays from its original February 2020 release date due to the COVID-19 pandemic, the film was released theatrically by Sony Pictures Releasing under its Columbia Pictures label, first in Australia on March 25, 2021, then in the United Kingdom on May 17 and in the United States on June 11. The film has grossed over $153 million worldwide and received mixed reviews from critics.

Modern Times is the 32nd studio album by American singer-songwriter Bob Dylan, released on August 29, 2006, by Columbia Records. The album was the third work (following Time Out of Mind and Love and Theft) in a string of albums by Dylan that garnered wide acclaim from critics. It continued its predecessors' tendencies toward blues, rockabilly and pre-rock balladry, and was self-produced by Dylan under the pseudonym "Jack Frost". Despite the acclaim, the album sparked some debate over its uncredited use of choruses and arrangements from older songs, as well as many lyrical lines taken from the work of 19th-century poet Henry Timrod. Modern Times became Dylan's first No. 1 album in the U.S. since 1976's Desire. It was also his first album to debut at the summit of the Billboard 200, selling 191,933 copies in its first week. At age 65, Dylan became the oldest living person at the time to have an album enter the Billboard charts at No. 1. It also reached No. 1 in Canada, Australia, New Zealand, Ireland, Denmark, Norway and Switzerland, debuted No. 2 in Germany, Austria and Sweden. It reached No. 3 in the UK and the Netherlands, respectively, and had sold over 4 million copies worldwide. In the 2012 version of Rolling Stone magazine's list of "The 500 Greatest Albums of All Time", Modern Times was ranked at No. 204.

Beryl May Dent (10 May 1900 – 9 August 1977) was an English mathematical physicist, technical librarian, and a programmer of early analogue and digital computers to solve electrical engineering problems. She was born in Chippenham, Wiltshire, the eldest daughter of schoolteachers. The family left Chippenham in 1901, after her father became head teacher of the then recently established Warminster County School. In 1923, she graduated from the University of Bristol with First Class Honours in applied mathematics. She was awarded the Ashworth Hallett scholarship by the university and was accepted as a postgraduate student at Newnham College in the University of Cambridge. She returned to Bristol in 1925, after being appointed a researcher in the Physics Department at the University of Bristol, with her salary being paid by the Department of Scientific and Industrial Research. In 1927, John Lennard-Jones was appointed Professor of Theoretical physics, a chair being created for him, with Dent becoming his research assistant in theoretical physics. Lennard‑Jones pioneered the theory of interatomic and intermolecular forces at Bristol and she became one of his first collaborators. They published six papers together from 1926 to 1928, dealing with the forces between atoms and ions, that were to become the foundation of her master's thesis. Later work has shown that the results they obtained had direct application to atomic force microscopy by predicting that non-contact imaging is possible only at small tip-sample separations. In 1930, she joined Metropolitan-Vickers Electrical Company Ltd, Manchester, as a technical librarian for the scientific and technical staff of the research department. She became active in the Association of Special Libraries and Information Bureaux (ASLIB) and was honorary secretary to the founding committee for the Lancashire and Cheshire branch of the association. She served on various ASLIB committees and made conference presentations detailing different aspects of the company's library and information service. She continued to publish scientific papers, contributing numerical methods for solving differential equations by the use of the differential analyser that was built for the University of Manchester and Douglas Hartree. She was the first to develop a detailed reduced major axis method for the best fit of a series of data points. Later in her career she became leader of the computation section at Metropolitan-Vickers, and then a supervisor in the research department for the section that was investigating semiconducting materials. She joined the Women's Engineering Society and published papers on the application of digital computers to electrical design. She retired in 1960, with Isabel Hardwich, later a fellow and president of the Women's Engineering Society, replacing her as section leader for the women in the research department. In 1962, she moved with her mother and sister to Sompting, West Sussex, and died there in 1977.

Great Britain, or in full Great Britain and Northern Ireland, the team of the British Olympic Association (BOA), which represents the United Kingdom, competed at the 2020 Summer Olympics in Tokyo. Originally scheduled to take place from 24 July to 9 August 2020, the Games were postponed to 23 July to 8 August 2021, because of the COVID-19 pandemic. British athletes have appeared in every Summer Olympic Games of the modern era, alongside those of Australia, France, Greece, and Switzerland, although Great Britain is the only team to have won at least one gold medal at all of them. This streak was maintained in Tokyo when Adam Peaty successfully defended his 100 metre breaststroke title on the third morning of the Games. The first medals of the Games for Great Britain were won by martial artists with taekwondo-ka Bradly Sinden guaranteeing Team GB at least a silver medal by qualifying for the final of the -68 kg event in taekwondo. Before the final took place, however, judoka Chelsie Giles secured a bronze medal in the 52 kg class via the repecharge. The 2020 Games saw members of the Great Britain team achieve a number of prominent milestones. In the pool, Adam Peaty became the first British swimmer to successfully defend an Olympic gold medal, winning the 100 metre breaststroke for the second time. The British swimming team also had its most successful Olympics in history winning eight medals (with four golds) eclipsing the previous Olympic swimming best of seven medals (which also included four golds) which had stood since the London 1908 Games (113 years). This included a 1-2 finish in the final of the Men's 200m freestyle for Duncan Scott (who took silver) and Tom Dean (who took gold) which was the first time British swimmers had achieved this in any Olympic swimming event since 1908. Scott also became Britain's most successful athlete in any sport at a single games in terms of number of medals won with four medals in total made up of one gold and three silver medals. However, Adam Peaty, James Guy and Tom Dean were more successful in terms of gold medals winning two golds to Scott's single gold. By winning gold alongside James Guy and Adam Peaty in the mixed 4x100 metres medley relay Freya Anderson , Kathleen Dawson and Anna Hopkin became the first British female swimmers since Rebecca Adlington took double indivdual gold in the 400 metre freestyle and 800m freestyle events at the Beijing 2008 games to win an Olympic gold medal. However, no British female swimmer won a medal in any of the individual women's events making the medals from mixed medley relay were only ones won by British female swimmers at the Games. On 4 August Sky Brown became the youngest British Olympian ever to win a medal when she won bronze in the Women's Park Skateboarding at the age of 13 years and 28 days. Gymnast Max Whitlock also clinched his second consecutive Olympic title on the pommel horse becoming one of the most successful gymnasts ever in the history of that specific apparatus - having also won three World Championship titles in the discipline - and the fourth man in Olympic history to successfully defend their pommel horse title. In doing do he cemented his position as Great Britain's most successful Olympic gymnast with six medals overall including three golds. Bryony Page in the Women's Trampoline competition claimed her second consecutive Olympic medal in the event with a bronze medal having won a silver in Rio. A team containing Jennifer Gadirova, Jessica Gadirova, Alice Kinsella and Amelie Morgan also won a Bronze in the Women's Team Artistic All-Round event. giving the gymnastics squad three medals at Tokyo 2020 overall down from the seven achieved by gymnastics in Rio in 2016. Keely Hodgkinson and Laura Muir secured silver medals in the Women's 800 metres and 1500 metres respectively. These were the first medals in either of these events for a British athlete since Kelly Holmes won double gold at the Athens 2004 Games. Josh Kerr by winning bronze in the Men's 1500m also became the first British athlete to win an Olympic medal in that event since Seoul 1988 where Peter Elliott won a silver medal. Holly Bradshaw also won her first medal in an Olympic or outdoor World Championship competition with bronze in the women's pole vault. The women's 4x100 relay squad also won a bronze medal. Despite failing to medal in the Men's Match Sprint Jason Kenny took sole ownership of the record as Great Britain's most successful Olympian, most decorated Olympian and the most successful and most decorated Olympic cyclist of any nation, with silver in the men's team sprint and gold in the men's keirin. This was the fourth consecutive kierin title for Great Britain, and took Kenny's career tally to seven gold and two silver medals and was the fourth consecutive Olympics in which he had won one or more golds. His wife Laura Kenny lost her omnium title after a major crash in the opening scratch race, and only managed a silver medal in the women's team pursuit. However, in the inaugural Olympic women's Madison she and partner Katie Archibald crushed the field, gaining a lap and winning all but two of the intermediate sprints. This took her career tally to five golds and one silver making her the most successful and most decorated British female Olympian, and the most successful and most decorated female Olympic cyclist of any nation. Together the Kennys also became the most successful married Olympians in history where both partners have won a gold medal. Britain's other track cycling gold came courtesy of Matt Walls in the Men's Omnium- the first time a male British Olympic cyclist has won the Olympic title in that event. Walls also won a silver medal alongside Ethan Hayter in the Men's Madison event On the waves, Giles Scott secured Great Britain's sixth consecutive gold medal in sailing's Finn class which was making its final Olympic appearance, while Hannah Mills became Great Britain's most successful female Olympic sailor defending her Women's 470 title with Eilidh McIntyre having won the same class with Saskia Clark in 2016 . McIntyre was emulating her father Michael who had won gold in the Star class alongside Bryn Vaile at the 1988 Games in Seoul. On a less positive note a number of iconic 'streaks' of British success were broken. The men's team pursuit title left British hands for the first time since 2004, as did the men's team sprint with both Ed Clancey and Jason Kenny denied fourth consecutive gold medals in the same event. The men's match sprint in cycling also left British hands for the first time since 2004, although Jack Carlin won a bronze medal. The men's coxless four lost the Olympic title for the first time since 1996, while the rowing squad as a whole won no gold medals for the first time since 1980 winning only 2 medals in total accross the whole Olympic rowing regatta. Despite winning six medals in total, these Olympics the first time since 1996 that Great Britain's athletics team failed to win a gold medal. This was partly due to unfortunate injuries to world champions Dina Asher-Smith (200 metres) and Katarina Johnson-Thompson (Heptathlon) who were seen as Britain's best medal hopes in the athletics events. The Mens 4x100 metres relay squad were also pipped to gold by Italy by 0.01 seconds on the finish line having been leading going into the anchor leg. A number of British defending champions from 2016 either were not selected, or were unable to retain their titles, including Mo Farah, Alistair Brownlee, Justin Rose, Jack Laugher, Jade Jones, Charlotte Dujardin and Andy Murray. In comparison, three former world champions, but long time 'nearly men' on the Olympic stage finally reached the top step of the rostrum, Jonathan Brownlee winning the inaugural triathlon mixed relay, James Guy in both the Men's 4 x 200 metre freestyle relay and the mixed medley relay, and Tom Daley, winning gold in the Men's 10 metre synchro with debutant Matty Lee, before his bronze in the individual event made him the first British diver to win four career Olympic medals. Great Britain had some notable success in new sports and events, winning the inaugural gold medals for women's BMX freestyle, mixed 4 x 100 metre medley swimming relay (in a new world record), women's madison and the triathlon mixed team relay, and medals in men's BMX freestyle, women's skateboarding and women's featherweight boxing. The women's +87 kg weightlifting event was technically a new event, but was in reality simply an adjusted version of the existing heavyweight event. Nonetheless, Emily Campbell's silver medal was the first ever won in weightlifting by a British woman, the first British weightlifting medal for either sex since 1984 and the first at a non-boycotted Games since Louis Martin medalled in consecutive Olympics in 1960 and 1964. Indeed, the weightlifting event at the Games was a significant success for Great Britain, with top-seven finishes for all four selected lifters, and Sarah Davies coming agonisingly close to winning a second silver medal in the -64 kg class. Great Britain also had great success in both of the Men's and Women's Modern Pentathlon events with Kate French taking gold in the women's event, while Joseph Choong became the first British male modern pentathlete to win an individual medal when taking gold in the men's event. The victories of French and Choong marked the first time since the introduction of the women's event in 2000 that a 'double' had been achieved, with the same nation winning both events.