Earle Raymond Hedrick
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Earle Raymond Hedrick
Earle Raymond Hedrick (September 27, 1876 – February 3, 1943), was an American mathematician and a vice-president of the University of California. Education and career Hedrick was born in Union City, Indiana. After undergraduate work at the University of Michigan, he obtained a Master of Arts from Harvard University. With a Parker fellowship, he went to Europe and obtained his PhD from Göttingen University in Germany under the supervision of David Hilbert in 1901. He then spent several months at the École Normale Supérieure in France, where he became acquainted with Édouard Goursat, Jacques Hadamard, Jules Tannery, Émile Picard and Paul Émile Appell, before becoming an instructor at Yale University. In 1903, he became professor at the University of Missouri. He moved in 1920 to the University of California, Los Angeles to become head of the department of mathematics. In 1933, he was giving the first graduate lecture on mathematics at UCLA. He became provost and ...
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Ernest Carroll Moore
Ernest Carroll Moore (1871–1955) was an Americans, American educator. He co-founded the University of California, Southern Branch, in Los Angeles, California. Biography Early life Moore was born in 1871 in Youngstown, Ohio. He graduated from Ohio Northern University, Ohio Normal University in 1892, where he also received an LL.B. in 1894. He then received a master's degree from Columbia University in 1898. He later received an M.A. and Ph.D. from the University of Chicago. Career While at university, he taught in grammar schools in Mississippi. He later taught at the University Settlement Society of New York and at Hull House in Chicago, where he worked with Jane Addams (1860–1935). He was a member of the California State Board of Charities and Corrections from 1903 to 1910. He started his academic career as a professor of philosophy and education at the University of California, Berkeley, where he taught from 1898 to 1901. From 1901 to 1906, he was an instructor, followed ...
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École Normale Supérieure
École may refer to: * an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing in région Île-de-France * École, Savoie, a French commune * École-Valentin, a French commune in the Doubs département * Grandes écoles, higher education establishments in France * The École, a French-American bilingual school in New York City Ecole may refer to: * Ecole Software This is a list of Notability, notable video game companies that have made games for either computers (like PC or Mac), video game consoles, handheld or mobile devices, and includes companies that currently exist as well as now-defunct companies. ...
, a Japanese video-games developer/publisher {{disambiguation, geo ...
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Non-analytic Smooth Function
In mathematics, smooth functions (also called infinitely differentiable functions) and analytic functions are two very important types of functions. One can easily prove that any analytic function of a real argument is smooth. The converse is not true, as demonstrated with the counterexample below. One of the most important applications of smooth functions with compact support is the construction of so-called mollifiers, which are important in theories of generalized functions, such as Laurent Schwartz's theory of distributions. The existence of smooth but non-analytic functions represents one of the main differences between differential geometry and analytic geometry. In terms of sheaf theory, this difference can be stated as follows: the sheaf of differentiable functions on a differentiable manifold is fine, in contrast with the analytic case. The functions below are generally used to build up partitions of unity on differentiable manifolds. An example function Definition of t ...
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Partial Differential Equations
In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a multivariable function. The function is often thought of as an "unknown" to be solved for, similarly to how is thought of as an unknown number to be solved for in an algebraic equation like . However, it is usually impossible to write down explicit formulas for solutions of partial differential equations. There is, correspondingly, a vast amount of modern mathematical and scientific research on methods to numerically approximate solutions of certain partial differential equations using computers. Partial differential equations also occupy a large sector of pure mathematical research, in which the usual questions are, broadly speaking, on the identification of general qualitative features of solutions of various partial differential equations, such as existence, uniqueness, regularity, and stability. Among the many open questions are the e ...
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Rhode Island
Rhode Island (, like ''road'') is a U.S. state, state in the New England region of the Northeastern United States. It is the List of U.S. states by area, smallest U.S. state by area and the List of states and territories of the United States by population, seventh-least populous, with slightly fewer than 1.1 million residents 2020 United States census, as of 2020, but it is the List of U.S. states by population density, second-most densely populated after New Jersey. It takes its name from Aquidneck Island, the eponymous island, though most of its land area is on the mainland. Rhode Island borders Connecticut to the west; Massachusetts to the north and east; and the Atlantic Ocean to the south via Rhode Island Sound and Block Island Sound. It also shares a small maritime border with New York (state), New York. Providence, Rhode Island, Providence is its capital and most populous city. Native Americans lived around Narragansett Bay for thousands of years before English settler ...
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Rhode Island Hospital
Rhode Island Hospital is a private, not-for-profit hospital located in the Upper South Providence neighborhood in Providence, Rhode Island. It is the largest academic medical center in the region, affiliated with Brown University since 1959. As an acute care teaching hospital, Rhode Island Hospital is the principal provider of specialty care in the region and the only Level I Trauma Center in southeastern New England. The hospital provides a full range of diagnostic and therapeutic services to patients, with particular expertise in cardiology, including the state's only open heart surgery program; diabetes, emergency medical and trauma, neurosciences, oncology/radiation oncology, orthopedics, pediatrics, and surgery. Rhode Island Hospital's pediatrics division, Hasbro Children's Hospital, is the only pediatric facility in the state. Recording nearly 154,000 visits in the fiscal year of 2016, Rhode Island Hospital's adult and pediatric emergency wings are among the busiest in the Un ...
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Brown University
Brown University is a private research university in Providence, Rhode Island. Brown is the seventh-oldest institution of higher education in the United States, founded in 1764 as the College in the English Colony of Rhode Island and Providence Plantations. Brown is one of nine colonial colleges chartered before the American Revolution. Admissions at Brown is among the most selective in the United States. In 2022, the university reported a first year acceptance rate of 5%. It is a member of the Ivy League. Brown was the first college in the United States to codify in its charter that admission and instruction of students was to be equal regardless of their religious affiliation. The university is home to the oldest applied mathematics program in the United States, the oldest engineering program in the Ivy League, and the third-oldest medical program in New England. The university was one of the early doctoral-granting U.S. institutions in the late 19th century, adding masters ...
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University Of California, Los Angeles
The University of California, Los Angeles (UCLA) is a public land-grant research university in Los Angeles, California. UCLA's academic roots were established in 1881 as a teachers college then known as the southern branch of the California State Normal School (now San José State University). This school was absorbed with the official founding of UCLA as the Southern Branch of the University of California in 1919, making it the second-oldest of the 10-campus University of California system (after UC Berkeley). UCLA offers 337 undergraduate and graduate degree programs in a wide range of disciplines, enrolling about 31,600 undergraduate and 14,300 graduate and professional students. UCLA received 174,914 undergraduate applications for Fall 2022, including transfers, making the school the most applied-to university in the United States. The university is organized into the College of Letters and Science and 12 professional schools. Six of the schools offer undergraduate degre ...
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University Of Missouri
The University of Missouri (Mizzou, MU, or Missouri) is a public university, public Land-grant university, land-grant research university in Columbia, Missouri. It is Missouri's largest university and the flagship of the four-campus University of Missouri System. MU was founded in 1839 and was the first public university west of the Mississippi River. It has been a member of the Association of American Universities since 1908 and is classified among "R1: Doctoral Universities – Very high research activity". To date, the University of Missouri alumni, faculty, and staff include 18 Rhodes Scholars, 19 Truman Scholars, 141 Fulbright Scholars, 7 Governors of Missouri, and 6 members of the U.S. Congress. Enrolling 31,401 students in 2021, it offers more than 300 degree programs in thirteen major academic divisions. Its well-known Missouri School of Journalism was founded by Walter Williams (journalist), Walter Williams in 1908 as the world's first journalism school; It publishes ...
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Yale University
Yale University is a private research university in New Haven, Connecticut. Established in 1701 as the Collegiate School, it is the third-oldest institution of higher education in the United States and among the most prestigious in the world. It is a member of the Ivy League. Chartered by the Connecticut Colony, the Collegiate School was established in 1701 by clergy to educate Congregational ministers before moving to New Haven in 1716. Originally restricted to theology and sacred languages, the curriculum began to incorporate humanities and sciences by the time of the American Revolution. In the 19th century, the college expanded into graduate and professional instruction, awarding the first PhD in the United States in 1861 and organizing as a university in 1887. Yale's faculty and student populations grew after 1890 with rapid expansion of the physical campus and scientific research. Yale is organized into fourteen constituent schools: the original undergraduate col ...
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Paul Émile Appell
:''M. P. Appell is the same person: it stands for Monsieur Paul Appell''. Paul Émile Appell (27 September 1855, in Strasbourg – 24 October 1930, in Paris) was a French mathematician and Rector of the University of Paris. Appell polynomials and Appell's equations of motion are named after him, as is rue Paul Appell in the 14th arrondissement of Paris and the minor planet 988 Appella. Life Paul Appell entered the École Normale Supérieure in 1873. He was elected to the French Academy of Sciences in 1892. In 1895, he became a Professor at the École Centrale Paris. Between 1903 and 1920 he was Dean of the Faculty of Science of the University of Paris, then Rector of the University of Paris from 1920 to 1925. Appell was the President of the Société astronomique de France (SAF), the French astronomical society, from 1919 to 1921. His daughter Marguerite Appell (1883–1969), who married the mathematician Émile Borel, is known as a novelist under her pen-name Camille Marbo. ...
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Émile Picard
Charles Émile Picard (; 24 July 1856 – 11 December 1941) was a French mathematician. He was elected the fifteenth member to occupy seat 1 of the Académie française in 1924. Life He was born in Paris on 24 July 1856 and educated there at the Lycée Henri-IV. He then studied mathematics at the École Normale Supérieure. Picard's mathematical papers, textbooks, and many popular writings exhibit an extraordinary range of interests, as well as an impressive mastery of the mathematics of his time. Picard's little theorem states that every nonconstant entire function takes every value in the complex plane, with perhaps one exception. Picard's great theorem states that an analytic function with an essential singularity takes every value infinitely often, with perhaps one exception, in any neighborhood of the singularity. He made important contributions in the theory of differential equations, including work on Picard–Vessiot theory, Painlevé transcendents and his introduction o ...
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