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Francis Dominic Murnaghan (mathematician)
Francis Dominic Murnaghan (August 4, 1893 – March 24, 1976) was an Irish mathematician and former head of the mathematics department at Johns Hopkins University. His name is attached to developments in group theory and mathematics applied to continuum mechanics ( Murnaghan and Birch–Murnaghan equations of state). Biography Frank Murnaghan was born in Omagh, Co. Tyrone, Ireland, seventh of the nine children of George Murnaghan, a Nationalist MP representing Mid Tyrone constituency. He graduated from Irish Christian Brothers secondary school in 1910, and University College Dublin with first-class honours BSc in Mathematical Sciences in 1913. Following an MSc in 1914, he was awarded a National University of Ireland (NUI) Travelling Studentship, which funded him to pursue his doctorate at Johns Hopkins University. In 1916, after just two years working under department chair Frank Morley's new PhD student Harry Bateman, he was awarded the Ph.D. He then lectured at Rice Univers ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Johns Hopkins University
Johns Hopkins University (Johns Hopkins, Hopkins, or JHU) is a private university, private research university in Baltimore, Maryland. Founded in 1876, Johns Hopkins is the oldest research university in the United States and in the western hemisphere. It consistently ranks among the most prestigious universities in the United States and the world. The university was named for its first benefactor, the American entrepreneur and Quaker philanthropist Johns Hopkins. Hopkins' $7 million bequest to establish the university was the largest Philanthropy, philanthropic gift in U.S. history up to that time. Daniel Coit Gilman, who was inaugurated as :Presidents of Johns Hopkins University, Johns Hopkins's first president on February 22, 1876, led the university to revolutionize higher education in the U.S. by integrating teaching and research. In 1900, Johns Hopkins became a founding member of the American Association of Universities. The university has led all Higher education in the U ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Instituto Tecnológico De Aeronáutica
The ''Instituto Tecnológico de Aeronáutica'' (ITA; en, Aeronautics Institute of Technology) is an institution of higher education maintained by the Brazilian Air Force and is located in São José dos Campos, Brazil. ITA is consistently ranked as one of the top engineering schools in Brazil and engages in advanced research in aerospace science and technology. ITA is one of five institutes that encompass the Brazilian General Command for Aerospace Technology (CTA), having its facilities, along with its laboratories and R&D centers, inside the campus of CTA. ITA is a military institution but it does have civilian teachers, directors, and students. ITA offers regular 5-year engineering undergraduate courses (Bachelor of Engineering) and graduate programs including masters and doctoral degrees. History Montenegro hired renowned foreign professors and experts from various parts of the world to teach at ITA, the majority of them from MIT, influenced by Prof. Smith. At a given ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1893 Births
Events January–March * January 2 – Webb C. Ball introduces railroad chronometers, which become the general railroad timepiece standards in North America. * Mark Twain started writing Puddn'head Wilson. * January 6 – The Washington National Cathedral is chartered by Congress; the charter is signed by President Benjamin Harrison. * January 13 ** The Independent Labour Party of the United Kingdom has its first meeting. ** U.S. Marines from the ''USS Boston'' land in Honolulu, Hawaii, to prevent the queen from abrogating the Bayonet Constitution. * January 15 – The ''Telefon Hírmondó'' service starts with around 60 subscribers, in Budapest. * January 17 – Overthrow of the Kingdom of Hawaii: Lorrin A. Thurston and the Citizen's Committee of Public Safety in Hawaii, with the intervention of the United States Marine Corps, overthrow the government of Queen Liliuokalani. * January 21 ** The Cherry Sisters first perform in Marion, Iowa. ** The T ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tait Equation
In fluid mechanics, the Tait equation is an equation of state, used to relate liquid density to hydrostatic pressure. The equation was originally published by Peter Guthrie Tait in 1888 in the form : \frac = \frac where P is the hydrostatic pressure in addition to the atmospheric one, V_0 is the volume at atmospheric pressure, V is the volume under additional pressure P, and A, \Pi are experimentally determined parameters. A very detailed historical study on the Tait equation with the physical interpretation of the two parameters A and \Pi is given in reference. Tait-Tammann equation of state In 1895, the original isothermal Tait equation was replaced by Tammann with an equation of the form : = - \left ( \frac \right )_T = \frac where K is the isothermal mixed bulk modulus. This above equation is popularly known as the Tait equation. The integrated form is commonly written : V = V_0 - C \log \left(\frac\right) where * V \ is the specific volume of the substance ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Murnaghan–Nakayama Rule
In group theory, a branch of mathematics, the Murnaghan–Nakayama rule, named after Francis Murnaghan and Tadashi Nakayama, is a combinatorial method to compute irreducible character values of a symmetric group.Richard Stanley, ''Enumerative Combinatorics, Vol. 2'' There are several generalizations of this rule beyond the representation theory of symmetric groups, but they are not covered here. The irreducible characters of a group are of interest to mathematicians because they concisely summarize important information about the group, such as the dimensions of the vector spaces in which the elements of the group can be represented by linear transformations that “mix” all the dimensions. For many groups, calculating irreducible character values is very difficult; the existence of simple formulas is the exception rather than the rule. The Murnaghan–Nakayama rule is a combinatorial rule for computing symmetric group character values χ using a particular kind of Young tabl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kronecker Coefficient
In mathematics, Kronecker coefficients ''g''λ''μν'' describe the decomposition of the tensor product (= Kronecker product) of two irreducible representations of a symmetric group into irreducible representations. They play an important role algebraic combinatorics and geometric complexity theory. They were introduced by Murnaghan in 1938. Definition Given a partition λ of ''n'', write ''V''λ for the Specht module associated to λ. Then the Kronecker coefficients ''g''λ''μν'' are given by the rule : V_\mu \otimes V_\nu = \bigoplus_\lambda g_^ V_\lambda. One can interpret this on the level of symmetric functions, giving a formula for the Kronecker product of two Schur polynomials: :s_\mu \star s_\nu = \sum_ g_^ s_\lambda. This is to be compared with Littlewood–Richardson coefficients, where one instead considers the induced representation : \uparrow_^ \left ( V_\mu \otimes V_\nu \right ) = \bigoplus_\lambda c_^ V_\lambda, and the corresponding operation of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Acoustoelastic Effect
The acoustoelastic effect is how the sound velocities (both longitudinal and shear wave velocities) of an elastic material change if subjected to an initial static stress field. This is a non-linear effect of the constitutive relation between mechanical stress and finite strain in a material of continuous mass. In classical linear elasticity theory small deformations of most elastic materials can be described by a linear relation between the applied stress and the resulting strain. This relationship is commonly known as the generalised Hooke's law. The linear elastic theory involves second order elastic constants (e.g. \lambda and \mu) and yields constant longitudinal and shear sound velocities in an elastic material, not affected by an applied stress. The acoustoelastic effect on the other hand include higher order expansion of the constitutive relation (non-linear elasticity theory) between the applied stress and resulting strain, which yields longitudinal and shear sound velo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sheelagh Murnaghan
Sheelagh Mary Murnaghan, (26 May 1924 – 14 September 1993) was an Ulster Liberal Party Member of Parliament (MP) in the House of Commons of Northern Ireland at Stormont. Early life Sheelagh Mary Murnaghan was born on 24 May 1924 to Josephine Mary Morrogh and Vincent Hugh Murnaghan. She was the eldest of their six children. Her grandfather, George Murnaghan was a well-known nationalist politician in Ireland. She was educated at Loreto Grammar School in Omagh, Loreto Abbey in Rathfarnham and studied law in Queen's University Belfast, graduating in 1947. While studying in Queen's University, Murnaghan also captained the hockey team from 1955 to 1956 and was the first female president of the Literary and Scientific Debating Society; also known as The Literific. Political career After graduating from college, Murnaghan became " neof only nine women ever elected to the fifty-two-seat Stormont House of Commons during its fifty-year existence". She became a member of the Ulste ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Francis Dominic Murnaghan, Jr
Francis may refer to: People *Pope Francis, the head of the Catholic Church and sovereign of the Vatican City State and Bishop of Rome * Francis (given name), including a list of people and fictional characters *Francis (surname) Places * Rural Municipality of Francis No. 127, Saskatchewan, Canada * Francis, Saskatchewan, Canada **Francis (electoral district) * Francis, Nebraska *Francis Township, Holt County, Nebraska * Francis, Oklahoma * Francis, Utah Other uses * ''Francis'' (film), the first of a series of comedies featuring Francis the Talking Mule, voiced by Chill Wills *''Francis'', a 1983 play by Julian Mitchell * FRANCIS, a bibliographic database * ''Francis'' (1793), a colonial schooner in Australia * Francis turbine, a type of water turbine * Francis (band), a Sweden-based folk band * Francis, a character played by YouTuber Boogie2988 See also * Saint Francis (other) * Francies, a surname, including a list of people with the name * Francisco (disambiguatio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brazilian Academy Of Sciences
The Brazilian Academy of Sciences ( pt, italic=yes, Academia Brasileira de Ciências or ''ABC'') is the national academy of Brazil. It is headquartered in the city of Rio de Janeiro and was founded on May 3, 1916. Publications It publishes a large number of scientific publications, among them the ''Anais da Academia Brasileira de Ciências'' (2020 impact factor, IF 1.280). People Presidents * 1916–1926 Henrique Charles Morize * 1926–1929 Juliano Moreira * 1929–1931 Miguel Osório de Almeida * 1931–1933 Eusébio Paulo de Oliveira * 1933–1935 Arthur Alexandre Moses * 1935–1937 Álvaro Alberto da Mota e Silva * 1937–1939 Adalberto Menezes de Oliveira * 1939–1941 Inácio Manuel Azevedo do Amaral * 1941–1943 Arthur Alexandre Moses * 1943–1945 Cândido Firmino de Melo Leitão * 1945–1947 Mario Paulo de Brito * 1947–1949 Arthur Alexandre Moses * 1949–1951 Álvaro Alberto da Mota e Silva * 1951–1965 Arthur Alexandre Moses * 1965–1967 Carlos Chagas Filho * 1 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Irish Academy
The Royal Irish Academy (RIA; ga, Acadamh Ríoga na hÉireann), based in Dublin, is an academic body that promotes study in the sciences, humanities and social sciences. It is Ireland's premier List of Irish learned societies, learned society and one its leading List of Irish cultural institutions, cultural institutions. The Academy was established in 1785 and granted a royal charter in 1786. the RIA has around 600 members, regular members being Irish residents elected in recognition of their academic achievements, and Honorary Members similarly qualified but based abroad; a small number of members are elected in recognition of non-academic contributions to society. Until the late 19th century the Royal Irish Academy was the owner of the main national collection of Irish antiquities. It presented its collection of archaeological artefacts and similar items, which included such famous pieces as the Tara Brooch, the Cross of Cong and the Ardagh Chalice to what is now the Na ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Philosophical Society
The American Philosophical Society (APS), founded in 1743 in Philadelphia, is a scholarly organization that promotes knowledge in the sciences and humanities through research, professional meetings, publications, library resources, and community outreach. Considered the first learned society in the United States, it has about 1,000 elected members, and by April 2020 had had only 5,710 members since its creation. Through research grants, published journals, the American Philosophical Society Museum, an extensive library, and regular meetings, the society supports a variety of disciplines in the humanities and the sciences. Philosophical Hall, now a museum, is just east of Independence Hall in Independence National Historical Park; it was designated a National Historic Landmark in 1965. History The Philosophical Society, as it was originally called, was founded in 1743 by Benjamin Franklin, James Alexander (lawyer), James Alexander, Francis Hopkinson, John Bartram, Philip Syn ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
