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E. H. Moore
Eliakim Hastings Moore (; January 26, 1862 – December 30, 1932), usually cited as E. H. Moore or E. Hastings Moore, was an American mathematician. Life Moore, the son of a Methodist minister and grandson of US Congressman Eliakim H. Moore, discovered mathematics through a summer job at the Cincinnati Observatory while in high school. He subsequently studied mathematics at Yale University, where he was a member of Skull and Bones and obtained a BA in 1883 and the PhD in 1885 with a thesis supervised by Hubert Anson Newton, on some work of William Kingdon Clifford and Arthur Cayley. Newton encouraged Moore to study in Germany, and thus he spent an academic year at the University of Berlin, attending lectures by Leopold Kronecker and Karl Weierstrass. On his return to the United States, Moore taught at Yale and at Northwestern University. When the University of Chicago opened its doors in 1892, Moore was the first head of its mathematics department, a position he retained u ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Marietta, Ohio
Marietta is a city in, and the county seat of, Washington County, Ohio, United States. It is located in southeastern Ohio at the confluence of the Muskingum and Ohio Rivers, northeast of Parkersburg, West Virginia. As of the 2020 census, Marietta has a population of 13,385 people and is the principal city of the Marietta Micropolitan Statistical Area, which includes all of Washington County, and is the second-largest city in the Parkersburg–Marietta–Vienna, WV–OH Combined Statistical Area. Founded in 1788 by pioneers to the Ohio Country, Marietta was the first permanent U.S. settlement in the newly established Northwest Territory, created in 1787, and what would later become the state of Ohio. It is named for Marie Antoinette, then Queen of France, in honor of French aid in the American Revolution. Prior to American settlement, the area was inhabited by various native tribes of the Hopewell tradition, who built the Marietta Earthworks, a complex more than 1,500 years ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Closure Operator
In mathematics, a closure operator on a set ''S'' is a function \operatorname: \mathcal(S)\rightarrow \mathcal(S) from the power set of ''S'' to itself that satisfies the following conditions for all sets X,Y\subseteq S : Closure operators are determined by their closed sets, i.e., by the sets of the form cl(''X''), since the closure cl(''X'') of a set ''X'' is the smallest closed set containing ''X''. Such families of "closed sets" are sometimes called closure systems or "Moore families", in honor of E. H. Moore who studied closure operators in his 1910 ''Introduction to a form of general analysis'', whereas the concept of the closure of a subset originated in the work of Frigyes Riesz in connection with topological spaces. Though not formalized at the time, the idea of closure originated in the late 19th century with notable contributions by Ernst Schröder, Richard Dedekind and Georg Cantor. Closure operators are also called "hull operators", which prevents confusion with the "c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
William Kingdon Clifford
William Kingdon Clifford (4 May 18453 March 1879) was an English mathematician and philosopher. Building on the work of Hermann Grassmann, he introduced what is now termed geometric algebra, a special case of the Clifford algebra named in his honour. The operations of geometric algebra have the effect of mirroring, rotating, translating, and mapping the geometric objects that are being modelled to new positions. Clifford algebras in general and geometric algebra in particular have been of ever increasing importance to mathematical physics, geometry, and computing. Clifford was the first to suggest that gravitation might be a manifestation of an underlying geometry. In his philosophical writings he coined the expression ''mind-stuff''. Biography Born at Exeter, England, Exeter, William Clifford showed great promise at school. He went on to King's College London (at age 15) and Trinity College, Cambridge, where he was elected fellow in 1868, after being second Wrangler (Universi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bachelor Of Arts
Bachelor of arts (BA or AB; from the Latin ', ', or ') is a bachelor's degree awarded for an undergraduate program in the arts, or, in some cases, other disciplines. A Bachelor of Arts degree course is generally completed in three or four years, depending on the country and institution. * Degree attainment typically takes four years in Afghanistan, Armenia, Azerbaijan, Bangladesh, Brazil, Brunei, China, Egypt, Ghana, Greece, Georgia, Hong Kong, Indonesia, Iran, Iraq, Ireland, Japan, Kazakhstan, Kenya, Kuwait, Latvia, Lebanon, Lithuania, Mexico, Malaysia, Mongolia, Myanmar, Nepal, Netherlands, Nigeria, Pakistan, the Philippines, Qatar, Russia, Saudi Arabia, Scotland, Serbia, South Korea, Spain, Sri Lanka, Taiwan, Thailand, Turkey, Ukraine, the United States and Zambia. * Degree attainment typically takes three years in Albania, Australia, Bosnia and Herzegovina, the Caribbean, Iceland, India, Israel, Italy, New Zealand, Norway, South Africa, Switzerland, the Canadian province of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Skull And Bones
Skull and Bones, also known as The Order, Order 322 or The Brotherhood of Death, is an undergraduate senior secret student society at Yale University in New Haven, Connecticut. The oldest senior class society at the university, Skull and Bones has become a cultural institution known for its powerful alumni and various conspiracy theories. It is one of the "Big Three" societies at Yale, the other two being Scroll and Key and Wolf's Head. The society's alumni organization, the Russell Trust Association, owns the organization's real estate and oversees the membership. The society is known informally as "Bones," and members are known as "Bonesmen," "Members of The Order" or "Initiated to The Order." History Skull and Bones was founded in 1832 after a dispute among Yale debating societies Linonia, Brothers in Unity, and the Calliopean Society over that season's Phi Beta Kappa awards. William Huntington Russell and Alphonso Taft co-founded "the Order of the Skull and Bones". Th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cincinnati Observatory
The Cincinnati Observatory is located in Cincinnati, Ohio (United States) on top of Mount Lookout. It consists of two observatory buildings housing an 11-inch (28 cm) and 16 inch (41 cm) aperture refracting telescope. It is the oldest professional observatory in the United States. It was a key facility for astronomical research and education at the University of Cincinnati and currently operates as a 19th-century observatory. There are regular viewings through both historical telescopes as well as tours and additional programs. The observatory also has an extensive outreach program, providing astronomical education for the Ohio/Kentucky/Indiana region. The Cincinnati Observatory is a contributing property to the Observatory Historic District. History Cincinnati Observatory was built by Ormsby M. Mitchel at the peak of Mount Ida, a hill that overlooks downtown Cincinnati. Nicholas Longworth donated of land for the purpose. The Holy Cross Monastery and Chape ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Eliakim H
Eliakim ( he, אֶלְיָקִים) is a moshav in northern Israel. Located in the Menashe Heights, it falls under the jurisdiction of Megiddo Regional Council. In it had a population of . History The village was established in 1949 as a moshav by Jewish refugees from Yemen on the lands of the depopulated Palestinian village of Umm az-Zinat, and was named after Jehoiakim (who was originally named Eliakim), a King of Judah (2 Kings 23:34). In 1970 it was converted to a communal settlement, but returned to being a moshav in 2008. Notable residents *Boaz Mauda, winner of season 5 of Kokhav Nolad ''Kokhav Nolad'' ( he, כוכב נולד) (meaning ''A Star Is Born'') was an Israeli reality television show searching for talented new vocalists, based on the British ''Pop Idol'' model. Since its debut on Israeli Channel 2 in 2003, Kokhav Nol ... References {{Megiddo Regional Council Moshavim Populated places established in 1949 Populated places in Northern District (Isr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Northwestern University
Northwestern University is a private research university in Evanston, Illinois. Founded in 1851, Northwestern is the oldest chartered university in Illinois and is ranked among the most prestigious academic institutions in the world. Chartered by the Illinois General Assembly in 1851, Northwestern was established to serve the former Northwest Territory. The university was initially affiliated with the Methodist Episcopal Church but later became non-sectarian. By 1900, the university was the third largest university in the United States. In 1896, Northwestern became a founding member of the Big Ten Conference, and joined the Association of American Universities as an early member in 1917. The university is composed of eleven undergraduate, graduate, and professional schools, which include the Kellogg School of Management, the Pritzker School of Law, the Feinberg School of Medicine, the Weinberg College of Arts and Sciences, the Bienen School of Music, the McCormick ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Chicago
The University of Chicago (UChicago, Chicago, U of C, or UChi) is a private research university in Chicago, Illinois. Its main campus is located in Chicago's Hyde Park neighborhood. The University of Chicago is consistently ranked among the best universities in the world and it is among the most selective in the United States. The university is composed of an undergraduate college and five graduate research divisions, which contain all of the university's graduate programs and interdisciplinary committees. Chicago has eight professional schools: the Law School, the Booth School of Business, the Pritzker School of Medicine, the Crown Family School of Social Work, Policy, and Practice, the Harris School of Public Policy, the Divinity School, the Graham School of Continuing Liberal and Professional Studies, and the Pritzker School of Molecular Engineering. The university has additional campuses and centers in London, Paris, Beijing, Delhi, and Hong Kong, as well as in downtown ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Axiomatic System
In mathematics and logic, an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems. A theory is a consistent, relatively-self-contained body of knowledge which usually contains an axiomatic system and all its derived theorems. An axiomatic system that is completely described is a special kind of formal system. A formal theory is an axiomatic system (usually formulated within model theory) that describes a set of sentences that is closed under logical implication. A formal proof is a complete rendition of a mathematical proof within a formal system. Properties An axiomatic system is said to be ''consistent'' if it lacks contradiction. That is, it is impossible to derive both a statement and its negation from the system's axioms. Consistency is a key requirement for most axiomatic systems, as the presence of contradiction would allow any statement to be proven (principle of explosion). In an axiomatic syste ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
