The propositional calculus is a branch of logic. It is also called propositional logic, statement logic, sentential calculus, sentential logic, or sometimes zeroth-order logic. It deals with propositions and relations between propositions, including the construction of arguments based on them. Compound propositions are formed by connecting propositions by logical connectives representing the truth functions of conjunction, disjunction, implication, biconditional, and negation. Some sources include other connectives, as in the table below.
The Mandelbrot set is a two-dimensional set with a relatively simple definition that exhibits great complexity, especially as it is magnified. It is popular for its aesthetic appeal and fractal structures. The set is defined in the complex plane as the complex numbers for which the function does not diverge to infinity when iterated starting at , i.e., for which the sequence , , etc., remains bounded in absolute value.
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it. Perhaps most familiar as a property of arithmetic, e.g. "3 + 4 = 4 + 3" or "2 × 5 = 5 × 2", the property can also be used in more advanced settings. The name is needed because there are operations, such as division and subtraction, that do not have it ; such operations are not commutative, and so are referred to as noncommutative operations. The idea that simple operations, such as the multiplication and addition of numbers, are commutative was for many years implicitly assumed. Thus, this property was not named until the 19th century, when mathematics started to become formalized. A similar property exists for binary relations; a binary relation is said to be symmetric if the relation applies regardless of the order of its operands; for example, equality is symmetric as two equal mathematical objects are equal regardless of their order.
B&Q Limited is a British multinational DIY and home improvement retailing company, with headquarters in Eastleigh, England. It is a wholly owned subsidiary of Kingfisher plc. It was founded in March 1969 by Richard Block and David Quayle.
Vacuum permittivity, commonly denoted ε0, is the value of the absolute dielectric permittivity of classical vacuum. It may also be referred to as the permittivity of free space, the electric constant, or the distributed capacitance of the vacuum. It is an ideal (baseline) physical constant. Its CODATA value is:
The AFC U-17 Asian Cup, formerly known as the AFC U-16 Championship and AFC U-17 Championship, is a football competition, organised by the Asian Football Confederation (AFC) held once every two years for Asian under-17 teams that also serves as a qualification tournament for the FIFA U-17 World Cup. The top 4 countries qualify to participate in the FIFA U-17 World Cup. Up to 2000, the tournament was for U-16 teams. Between 2002 and 2006 it was held as an under-17 tournament. Between 2008 and 2020, it was switched back to a U-16 Championship. The AFC has proposed switching back to an under-17 tournament starting from 2023. Moreover, the tournament will also be rebranded from the "AFC U-16 Championship" to the "AFC U-17 Asian Cup".
The women's 4 × 100 metres relay races at the 2000 Summer Olympics as part of the athletics program were held on Friday, 29 September and Saturday, 30 September.
Dario Minieri is an Italian professional poker player from Rome, Italy who won a bracelet at the 2008 World Series of Poker at the age of 23, is a member of team PokerStars, is an online poker player who was the first person to collect enough Frequent Player Points to buy an automobile with them, and is a three-time European Poker Tour final tablist.
The Women's 4 × 400 metres relay at the 2010 Commonwealth Games as part of the athletics programme was held at the Jawaharlal Nehru Stadium on Monday 11 October and Tuesday 12 October 2010.
These are the official results of the Women's 800 metres event at the 2001 IAAF World Championships in Edmonton, Canada. The winning margin was 0.03 seconds which as of 2024 remains the narrowest winning margin in the women's 800 metres at these championships.
The women's 100 metres at the 2013 World Championships in Athletics was held at the Luzhniki Stadium on 11–12 August and was won by 0.22 seconds by Shelly-Ann Fraser-Pryce. As of 2024, this is the greatest winning margin in the women's 100 metres at these championships and the only time this event has been won by two-tenths of a second.
Nicolás Barrientos is a Colombian professional tennis player. Barrientos reached his highest ATP singles ranking of world No. 237 on 21 September 2015 and a doubles ranking of world No. 50 on 4 March 2024. He has won one ATP doubles title at the 2024 Rio Open with Rafael Matos. He competes mainly on the ATP Challenger Tour both in singles and doubles.
The women's 3000 metres event at the 2015 European Athletics Indoor Championships was held on 6 March at 13:25 (heats) and on 7 March at 18:50 (final) local time.
Richard Veenstra is a Dutch professional darts player who currently plays in Professional Darts Corporation (PDC) events. He is a Dutch Open champion, BDO World Trophy and Finder Darts Masters finalist and a medalist of the WDF World Cup and WDF Europe Cup.
The 2019–20 Liga IV was the 78th season of the Liga IV, the fourth tier of the Romanian football league system. The champions of each county association play against one from a neighboring county in a playoff to gain promotion. This had to be the third season when the counties were divided into 7 regions, each consisting of 6 counties and the draw was made on 15 February 2019, with 4 months before the first matches.
Provincial elections were held in the Pakistani province of Punjab to elect the 14th Provincial Assembly of the Punjab on 10 October 2002, alongside nationwide general elections and three other provincial elections in Sindh, Balochistan and North-West Frontier Province. The remaining two territories of Pakistan, AJK and Gilgit-Baltistan, were ineligible to vote due to their disputed status. The elections were held under the military government of General Pervez Musharraf. The elections saw an end to the two-party system between the Pakistan Peoples Party and the Pakistan Muslim League (N), with the centre-right Pakistan Muslim League (Q) emerging as a third main party supporting Musharraf.
Lean is a proof assistant and a functional programming language. It is based on the calculus of constructions with inductive types. It is an open-source project hosted on GitHub. It was developed primarily by Leonardo de Moura while employed by Microsoft Research and now Amazon Web Services, and has had significant contributions from other coauthors and collaborators during its history. Development is currently supported by the non-profit Lean Focused Research Organization (FRO).
Realme is a Chinese consumer electronics manufacturer based in Shenzhen, Guangdong. It was founded by Li Bingzhong on May 4, 2018, who was a former vice president of Oppo. Starting originally as a sub-brand of Oppo, Realme eventually ventured as its own brand. Realme then became the fastest-growing 5G smartphone brand in Q3 2021.
Results of India national football team from 1990–1999.
India is scheduled to compete at the 2024 Summer Olympics in Paris from 26 July to 11 August 2024. Indian athletes have appeared in every edition of the Summer Olympic Games since 1920, although they made the team's official debut in Paris 1900.
