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.
Q is a popular music online magazine. Originally published in print in the UK from 1986 to 2020, it was inactive from 2020 until 2023. In 2023, Q was revived as an online publication. It was founded in 1986 by broadcast journalists Mark Ellen and David Hepworth, who were presenters of the BBC television music series The Old Grey Whistle Test. Q's final printed issue was published in July 2020, but began posting new articles to their website in 2023 before being fully relaunched in 2024.
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:
Rwanda competed at the 2000 Summer Olympics in Sydney, Australia.
The Graduate Aptitude Test in Engineering (GATE) is an entrance examination conducted in India that primarily tests the comprehensive understanding of undergraduate subjects in engineering and sciences for admission into postgraduate programs. GATE is conducted jointly by the Indian Institute of Science and seven Indian Institutes of Technologies at Roorkee, Delhi, Guwahati, Kanpur, Kharagpur, Chennai (Madras) and Mumbai (Bombay) on behalf of the National Coordination Board – GATE, Department of Higher Education, Ministry of Education (MoE), Government of India.
The AFC Futsal Asian Cup, previously the AFC Futsal Championship, is the premier international futsal competition for the Asian Football Confederation (AFC) national teams. It was first held in 1999 and was played annually until 2008; since then it has been played biennially. From 2021, the tournament was rebranded from the AFC Futsal Championship to the AFC Futsal Asian Cup. It is also the qualification for the FIFA Futsal World Cup. There are 47 countries and territories that are permitted to compete for qualification into the tournament.
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".
In mathematics, a rational number is a number that can be expressed as the quotient or fraction of two integers, a numerator p and a non-zero denominator q. For example, is a rational number, as is every integer. The set of all rational numbers, also referred to as "the rationals", the field of rationals or the field of rational numbers is usually denoted by boldface Q, or blackboard bold
A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, Boolean functions, and propositional calculus—which sets out the functional values of logical expressions on each of their functional arguments, that is, for each combination of values taken by their logical variables. In particular, truth tables can be used to show whether a propositional expression is true for all legitimate input values, that is, logically valid.
NA-63 Gujrat-II is a constituency for the National Assembly of Pakistan which includes Jalalpur Jattan.
Tislelizumab, sold under the brand name Tevimbra among others, is a humanized monoclonal antibody directed against programmed death receptor-1. It is being developed by BeiGene.
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.
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.
Results of India national football team from 1980 to 1989.
The men's 60 metres at the 2022 World Athletics Indoor Championships took place on 19 March 2022
