Moon Duchin
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Moon Duchin
Moon Duchin is an American mathematician who works as a professor at Tufts University in Medford, Massachusetts. Her mathematical research concerns geometric topology, geometric group theory, and Teichmüller theory. She is also interested in the cultural studies, philosophy, and history of science and Philosophy of mathematics. Duchin is one of the core faculty members and serves as director of the Science, Technology, and Society program at Tufts. She has done significant research on the mathematics of redistricting and gerrymandering, and founded a research group, MGGG Redistricting Lab, to advance these mathematical studies and their nonpartisan application in the real world of US politics. In 2022 Duchin appeared in the Netflix documentary A trip to infinity, discussing the mathematical implications of infinity. Early life and education Duchin was given her first name, Moon, by parents "on the science-y fringes of the hippie classification". She grew up knowing from a young ...
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United States
The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country primarily located in North America. It consists of 50 states, a federal district, five major unincorporated territories, nine Minor Outlying Islands, and 326 Indian reservations. The United States is also in free association with three Pacific Island sovereign states: the Federated States of Micronesia, the Marshall Islands, and the Republic of Palau. It is the world's third-largest country by both land and total area. It shares land borders with Canada to its north and with Mexico to its south and has maritime borders with the Bahamas, Cuba, Russia, and other nations. With a population of over 333 million, it is the most populous country in the Americas and the third most populous in the world. The national capital of the United States is Washington, D.C. and its most populous city and principal financial center is New York City. Paleo-Americ ...
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Philosophy Of Mathematics
The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics. It aims to understand the nature and methods of mathematics, and find out the place of mathematics in people's lives. The logical and structural nature of mathematics itself makes this study both broad and unique among its philosophical counterparts. The philosophy of mathematics has two major themes: mathematical realism and mathematical anti-realism. History The origin of mathematics is subject to arguments and disagreements. Whether the birth of mathematics was a random happening or induced by necessity during the development of other subjects, like physics, is still a matter of prolific debates. Many thinkers have contributed their ideas concerning the nature of mathematics. Today, some philosophers of mathematics aim to give accounts of this form of inquiry and its products as they stand, while others emphasize a role for themselves that ...
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Double Major
A double degree program, sometimes called a dual degree, combined degree, conjoint degree, joint degree or double graduation program, involves a student's working for two university degrees in parallel—either at the same institution or at different institutions (sometimes in different countries)—and completing them in less time than it would have taken to earn them separately. The two degrees might be in the same subject area (especially when the course is split between countries), or in two different subjects. Overview Undergraduate double degree programs are more common in some countries than others, and are generally found in countries whose higher education systems follow the British model. Master's double degree programs are more widespread. Interest in double degree programs between member nations has spread in the European Union, as the gaining of qualifications from more than one country is seen as an advantage in the European labour market. Typically—in a double de ...
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The Harvard Crimson
''The Harvard Crimson'' is the student newspaper of Harvard University and was founded in 1873. Run entirely by Harvard College undergraduates, it served for many years as the only daily newspaper in Cambridge, Massachusetts. Beginning in the fall of 2022, the paper transitioned to a weekly publishing model. About ''The Crimson'' Any student who volunteers and completes a series of requirements known as the "comp" is elected an editor of the newspaper. Thus, all staff members of ''The Crimson''—including writers, business staff, photographers, and graphic designers—are technically "editors". (If an editor makes news, he or she is referred to in the paper's news article as a "''Crimson'' editor", which, though important for transparency, also leads to characterizations such as "former President John F. Kennedy '40, who was also a ''Crimson'' editor, ended the Cuban Missile Crisis.") Editorial and financial decisions rest in a board of executives, collectively called a "guar ...
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Scientific American
''Scientific American'', informally abbreviated ''SciAm'' or sometimes ''SA'', is an American popular science magazine. Many famous scientists, including Albert Einstein and Nikola Tesla, have contributed articles to it. In print since 1845, it is the oldest continuously published magazine in the United States. ''Scientific American'' is owned by Springer Nature, which in turn is a subsidiary of Holtzbrinck Publishing Group. History ''Scientific American'' was founded by inventor and publisher Rufus Porter (painter), Rufus Porter in 1845 as a four-page weekly newspaper. The first issue of the large format newspaper was released August 28, 1845. Throughout its early years, much emphasis was placed on reports of what was going on at the United States Patent and Trademark Office, U.S. Patent Office. It also reported on a broad range of inventions including perpetual motion machines, an 1860 device for buoying vessels by Abraham Lincoln, and the universal joint which now can be found ...
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Noam Elkies
Noam David Elkies (born August 25, 1966) is a professor of mathematics at Harvard University. At the age of 26, he became the youngest professor to receive tenure at Harvard. He is also a pianist, chess national master and a chess composer. Early life Elkies was born to an engineer father and a piano teacher mother. He attended Stuyvesant High School in New York City for three years before graduating in 1982 at age 15. A child prodigy in 1981, at age 14, he was awarded a gold medal at the 22nd International Mathematical Olympiad, receiving a perfect score of 42, one of the youngest to ever do so. He went on to Columbia University, where he won the Putnam competition at the age of sixteen years and four months, making him one of the youngest Putnam Fellows in history. He was a Putnam Fellow two more times during his undergraduate years. He graduated valedictorian of his class in 1985. He then earned his PhD in 1987 under the supervision of Benedict Gross and Barry Mazur at Harva ...
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Geometry Of Numbers
Geometry of numbers is the part of number theory which uses geometry for the study of algebraic numbers. Typically, a ring of algebraic integers is viewed as a lattice in \mathbb R^n, and the study of these lattices provides fundamental information on algebraic numbers. The geometry of numbers was initiated by . The geometry of numbers has a close relationship with other fields of mathematics, especially functional analysis and Diophantine approximation, the problem of finding rational numbers that approximate an irrational quantity. Minkowski's results Suppose that \Gamma is a lattice in n-dimensional Euclidean space \mathbb^n and K is a convex centrally symmetric body. Minkowski's theorem, sometimes called Minkowski's first theorem, states that if \operatorname (K)>2^n \operatorname(\mathbb^n/\Gamma), then K contains a nonzero vector in \Gamma. The successive minimum \lambda_k is defined to be the inf of the numbers \lambda such that \lambda K contains k linearly independ ...
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Connecticut
Connecticut () is the southernmost state in the New England region of the Northeastern United States. It is bordered by Rhode Island to the east, Massachusetts to the north, New York to the west, and Long Island Sound to the south. Its capital is Hartford and its most populous city is Bridgeport. Historically the state is part of New England as well as the tri-state area with New York and New Jersey. The state is named for the Connecticut River which approximately bisects the state. The word "Connecticut" is derived from various anglicized spellings of "Quinnetuket”, a Mohegan-Pequot word for "long tidal river". Connecticut's first European settlers were Dutchmen who established a small, short-lived settlement called House of Hope in Hartford at the confluence of the Park and Connecticut Rivers. Half of Connecticut was initially claimed by the Dutch colony New Netherland, which included much of the land between the Connecticut and Delaware Rivers, although the firs ...
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Stamford High School (Stamford, Connecticut)
Stamford High School is a high school, founded in 1873, in Stamford, Connecticut. It is one of three public high schools in the Stamford Public Schools district, along with Westhill High School and Academy of Information Technology and Engineering (AITE). History In 1878 the Stamford Town Committee decided to create a high school for the growing community after deciding there was the lack of sufficient secondary education. They created Stamford High School the following year in a single rented room. Students attending SHS starting in 1874 had one teacher who taught reading, spelling, arithmetic, grammar, history, and philosophy. Drawing, Latin, Greek, physical geography, and geometry were added to the curriculum in 1876. In 1881 four young women comprised the first graduating class. By 1886 increasing enrollment forced a move into a new four-room building on the site of the former Franklin Elementary School. Ten years later, in 1896, a new high school building was complete ...
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Hippie
A hippie, also spelled hippy, especially in British English, is someone associated with the counterculture of the 1960s, originally a youth movement that began in the United States during the mid-1960s and spread to different countries around the world. The word '' hippie'' came from '' hipster'' and was used to describe beatniks who moved into New York City's Greenwich Village, in San Francisco's Haight-Ashbury district, and Chicago's Old Town community. The term ''hippie'' was used in print by San Francisco writer Michael Fallon, helping popularize use of the term in the media, although the tag was seen elsewhere earlier. The origins of the terms ''hip'' and ''hep'' are uncertain. By the 1940s, both had become part of African American jive slang and meant "sophisticated; currently fashionable; fully up-to-date". The Beats adopted the term ''hip'', and early hippies inherited the language and countercultural values of the Beat Generation. Hippies created their own communit ...
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Infinity
Infinity is that which is boundless, endless, or larger than any natural number. It is often denoted by the infinity symbol . Since the time of the ancient Greeks, the philosophical nature of infinity was the subject of many discussions among philosophers. In the 17th century, with the introduction of the infinity symbol and the infinitesimal calculus, mathematicians began to work with infinite series and what some mathematicians (including l'Hôpital and Bernoulli) regarded as infinitely small quantities, but infinity continued to be associated with endless processes. As mathematicians struggled with the foundation of calculus, it remained unclear whether infinity could be considered as a number or magnitude and, if so, how this could be done. At the end of the 19th century, Georg Cantor enlarged the mathematical study of infinity by studying infinite sets and infinite numbers, showing that they can be of various sizes. For example, if a line is viewed as the set of all o ...
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A Trip To Infinity
''A Trip to Infinity'' is a 2022 Netflix documentary film directed by Jonathan Halperin and Drew Takahashi, in their feature length debut, which explores the concept of infinity Infinity is that which is boundless, endless, or larger than any natural number. It is often denoted by the infinity symbol . Since the time of the ancient Greeks, the philosophical nature of infinity was the subject of many discussions amo ... through interviews with mathematicians, physicists and philosophers around the world. Cast * Jon Halperin as himself Awards The movie won an award for Outstanding Graphic Design and Art Direction at the 44th News and Documentary Emmy Awards. References External links * * * 2022 documentary films 2022 films 2022 directorial debut films {{2020s-documentary-film-stub ...
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