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Robert Franklin Muirhead
Robert Franklin Muirhead (22 January 1860 – 16 January 1941), was a Scottish mathematician who discovered Muirhead's inequality. Early life and education Born at Shawlands, Glasgow, in January 1860, Robert Franklyn Muirhead received his early education from private tutors and the village school at Lochwinnoch. After attending the Hamilton Academy and Paisley Grammar school he entered the University of Glasgow, graduating BSc (1879) and MA (1881) gaining highest honours in Mathematics and Natural Philosophy and the Ferguson Scholarship. Winning the four year George A. Clark Scholarship from Glasgow, Muirhead then continued his studies at St Catharine's College, Cambridge, where in 1886 he won the Smith’s Prize for his essay on Newton's laws of motion, following a year at the University of Göttingen. Career Also during his tenureship of the George A. Clark Scholarship, Muirhead conducted classes at the University of Glasgow for pass and honours men thereafter holding teac ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Muirhead's Inequality
In mathematics, Muirhead's inequality, named after Robert Franklin Muirhead, also known as the "bunching" method, generalizes the inequality of arithmetic and geometric means. Preliminary definitions ''a''-mean For any real number, real vector space, vector :a=(a_1,\dots,a_n) define the "''a''-mean" [''a''] of positive real numbers ''x''1, ..., ''x''''n'' by :[a]=\frac\sum_\sigma x_^\cdots x_^, where the sum extends over all permutations σ of . When the elements of ''a'' are nonnegative integers, the ''a''-mean can be equivalently defined via the monomial symmetric polynomial m_a(x_1,\dots,x_n) as :[a] = \frac m_a(x_1,\dots,x_n), where ℓ is the number of distinct elements in ''a'', and ''k''1, ..., ''k''ℓ are their multiplicities. Notice that the ''a''-mean as defined above only has the usual properties of a mean (e.g., if the mean of equal numbers is equal to them) if a_1+\cdots+a_n=1. In the general case, one can consider instead [a]^, which is called a Muirhead mean. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Birmingham University
, mottoeng = Through efforts to heights , established = 1825 – Birmingham School of Medicine and Surgery1836 – Birmingham Royal School of Medicine and Surgery1843 – Queen's College1875 – Mason Science College1898 – Mason University College1900 – gained university status by royal charter , city = Birmingham , province = West Midlands , country = England, UK , coor = , campus = Urban, suburban , academic_staff = 5,495 (2020) , administrative_staff = , head_label = Visitor , head = The Rt Hon Penny Mordaunt MP , chancellor = Lord Bilimoria , vice_chancellor = Adam Tickell , type = Public , endowment = £134.5 million (2021) , budget = £774.1 million (2020–21) , students = () , undergrad = () , postgrad = () , affiliations = Universitas 21 Universities UK EUA ACUSutton 13 Russell Group , free_label = , free = , colours = The University , website = , logo = The University of Birmingham (informally Birmingham Universit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alumni Of St Catharine's College, Cambridge
Alumni (singular: alumnus (masculine) or alumna (feminine)) are former students of a school, college, or university who have either attended or graduated in some fashion from the institution. The feminine plural alumnae is sometimes used for groups of women. The word is Latin and means "one who is being (or has been) nourished". The term is not synonymous with "graduate"; one can be an alumnus without graduating (Burt Reynolds, alumnus but not graduate of Florida State, is an example). The term is sometimes used to refer to a former employee or member of an organization, contributor, or inmate. Etymology The Latin noun ''alumnus'' means "foster son" or "pupil". It is derived from PIE ''*h₂el-'' (grow, nourish), and it is a variant of the Latin verb ''alere'' "to nourish".Merriam-Webster: alumnus .. Separate, but from the s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alumni Of The University Of Glasgow
Alumni (singular: alumnus (masculine) or alumna (feminine)) are former students of a school, college, or university who have either attended or graduated in some fashion from the institution. The feminine plural alumnae is sometimes used for groups of women. The word is Latin and means "one who is being (or has been) nourished". The term is not synonymous with "graduate"; one can be an alumnus without graduating ( Burt Reynolds, alumnus but not graduate of Florida State, is an example). The term is sometimes used to refer to a former employee or member of an organization, contributor, or inmate. Etymology The Latin noun ''alumnus'' means "foster son" or "pupil". It is derived from PIE ''*h₂el-'' (grow, nourish), and it is a variant of the Latin verb ''alere'' "to nourish".Merriam-Webster: alumnus .. Separate, but from the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
People Educated At Hamilton Academy
A person ( : people) is a being that has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal responsibility. The defining features of personhood and, consequently, what makes a person count as a person, differ widely among cultures and contexts. In addition to the question of personhood, of what makes a being count as a person to begin with, there are further questions about personal identity and self: both about what makes any particular person that particular person instead of another, and about what makes a person at one time the same person as they were or will be at another time despite any intervening changes. The plural form "people" is often used to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its use as a plural form of per ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1941 Deaths
Events Below, the events of World War II have the "WWII" prefix. January * January–August – 10,072 men, women and children with mental and physical disabilities are asphyxiated with carbon monoxide in a gas chamber, at Hadamar Euthanasia Centre in Germany, in the first phase of mass killings under the Action T4 program here. * January 1 – Thailand's Prime Minister Plaek Phibunsongkhram decrees January 1 as the official start of the Thai solar calendar new year (thus the previous year that began April 1 had only 9 months). * January 3 – A decree (''Normalschrifterlass'') promulgated in Germany by Martin Bormann, on behalf of Adolf Hitler, requires replacement of blackletter typefaces by Antiqua. * January 4 – The short subject ''Elmer's Pet Rabbit'' is released, marking the second appearance of Bugs Bunny, and also the first to have his name on a title card. * January 5 – WWII: Battle of Bardia in Libya: Australian and British troops de ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1860 Births
Year 186 ( CLXXXVI) was a common year starting on Saturday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Aurelius and Glabrio (or, less frequently, year 939 ''Ab urbe condita''). The denomination 186 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * Peasants in Gaul stage an anti-tax uprising under Maternus. * Roman governor Pertinax escapes an assassination attempt, by British usurpers. New Zealand * The Hatepe volcanic eruption extends Lake Taupō and makes skies red across the world. However, recent radiocarbon dating by R. Sparks has put the date at 233 AD ± 13 (95% confidence). Births * Ma Liang, Chinese official of the Shu Han state (d. 222) Deaths * April 21 – Apollonius the Apologist, Christian martyr * Bian Zhang, Chinese official and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Association
The Mathematical Association is a professional society concerned with mathematics education in the UK. History It was founded in 1871 as the Association for the Improvement of Geometrical Teaching and renamed to the Mathematical Association in 1894. It was the first teachers' subject organisation formed in England. In March 1927, it held a three-day meeting in Grantham to commemorate the bicentenary of the death of Sir Isaac Newton, attended by Sir J. J. Thomson (discoverer of the electron), Sir Frank Watson Dyson – the Astronomer Royal, Sir Horace Lamb, and G. H. Hardy. In 1951, Mary Cartwright became the first female president of the Mathematical Association. In the 1960s, when comprehensive education was being introduced, the Association was in favour of the 11-plus system. For maths teachers training at university, a teaching award that was examined was the Diploma of the Mathematical Association, later known as the Diploma in Mathematical Education of the Mathematical A ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Edinburgh Mathematical Society
The Edinburgh Mathematical Society is a mathematical society for academics in Scotland. History The Society was founded in 1883 by a group of Edinburgh school teachers and academics, on the initiative of Alexander Yule Fraser FRSE and Andrew Jeffrey Gunion Barclay FRSE, both maths teachers at George Watson's College, and Cargill Gilston Knott, the assistant of Peter Guthrie Tait, professor of physics at the University of Edinburgh. The first president, elected at first meeting on 2 February 1883, was J.S. Mackay, the head mathematics master at the Edinburgh Academy. The Society was founded at a time when mathematics societies were being created around the world, but it was unusual in being founded by school teachers rather than university lecturers. This was because, due to the very small number of mathematical academic positions in Scotland at the time, many skilled mathematics graduates chose to become schoolteachers instead. The fifty five founding members contained teachers, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Edinburgh Mathematical Notes
''Edinburgh Mathematical Notes'' was a mathematics journal published from 1909 until 1961 by the Edinburgh Mathematical Society. The journal was originally named ''Mathematical Notes'', with the subtitle ''A Review of Elementary Mathematics and Science''.Edinburgh Mathematical Notes MacTutor History of Mathematics archive. Retrieved 22 October 2013. Its creation was the suggestion of George Alexander Gibson, a professor at , who wished to remove the more elementary or pedagogical articles from the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mason Science College
Mason Science College was a university college in Birmingham, England, and a predecessor college of Birmingham University. Founded in 1875 by industrialist and philanthropist Sir Josiah Mason, the college was incorporated into the University of Birmingham in 1900. Two students of the college, Neville Chamberlain and Stanley Baldwin, later went on to become Prime Ministers of the UK. History The college was established by an English industrialist and philanthropist Sir Josiah Mason in 1875. The building of the college in Edmund Street, Birmingham was designed by Jethro Cossins and opened on 1 October 1880 and was marked by a speech by Thomas Henry Huxley. In the speech, Huxley considered the opening of the college as a victory for scientific cause and supported Mason's antagonistic views on the classics and theology. The college developed various liberal and vocational subjects, but forced out the artisans. The medical and scientific departments of Queen's College, Birmingh ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Shawlands
Shawlands ( gd, Fearann na Doire) is an area of Glasgow, Scotland, located around south of the River Clyde. The area, considered the "Heart of the Southside", is known for its independent restaurants and cafés, art scene, public parks, period terraces, and red and blond sandstone tenements. Shawlands was named one of the best places to live in Scotland in 2022 by The Sunday Times, and one of the world's coolest neighbourhoods by Time Out Magazine with judges describing it as "the city's best area to live and socialise”. It is located between Pollok Country Park, the home of the Burrell Collection and Pollok House, and the acclaimed Victorian park Queen's Park. History Shawlands developed rapidly during the 19th Century as Glasgow boomed during its time as the commercial powerhouse of the British Empire. Over time, the number of inhabitants in this largely artisanal and industrial area doubled due to the formation of significant local businesses, such as the Camphill Baker ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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