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Benedict Gross
Benedict Hyman Gross is an American mathematician who is a professor at the University of California San Diego, the George Vasmer Leverett Professor of Mathematics Emeritus at Harvard University, and former Dean of Harvard College.Curriculum vitae from Gross' web site at Harvard, retrieved 2010-04-21. He is known for his work in , particularly the on s of |
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] |
Number Theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."German original: "Die Mathematik ist die Königin der Wissenschaften, und die Arithmetik ist die Königin der Mathematik." Number theorists study prime numbers as well as the properties of mathematical objects made out of integers (for example, rational numbers) or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of Complex analysis, analytical objects (for example, the Riemann zeta function) that encode properties of the integers, primes ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Snake Lemma
The snake lemma is a tool used in mathematics, particularly homological algebra, to construct long exact sequences. The snake lemma is valid in every abelian category and is a crucial tool in homological algebra and its applications, for instance in algebraic topology. Homomorphisms constructed with its help are generally called ''connecting homomorphisms''. Statement In an abelian category (such as the category of abelian groups or the category of vector spaces over a given field), consider a commutative diagram: : where the rows are exact sequences and 0 is the zero object. Then there is an exact sequence relating the kernels and cokernels of ''a'', ''b'', and ''c'': :\ker a ~~ \ker b ~~ \ker c ~\overset~ \operatornamea ~~ \operatornameb ~~ \operatornamec where ''d'' is a homomorphism, known as the ''connecting homomorphism''. Furthermore, if the morphism ''f'' is a monomorphism, then so is the morphism \ker a ~~ \ker b, and if ''g is an epimorphism, then so is \operatorna ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jill Clayburgh
Jill Clayburgh (April 30, 1944 – November 5, 2010) was an American actress known for her work in theater, television, and cinema. She received the Cannes Film Festival Award for Best Actress and was nominated for the Academy Award for Best Actress for her breakthrough role in Paul Mazursky's comedy drama ''An Unmarried Woman'' (1978). She also received a second consecutive Academy Award nomination for '' Starting Over'' (1979) as well as four Golden Globe nominations for her film performances. Early life Clayburgh was born in New York City, the daughter of Julia Louise (née Dorr), an actress and theatrical production secretary for producer David Merrick, and Albert Henry "Bill" Clayburgh, a manufacturing executive. Her paternal grandmother was concert and opera singer Alma Lachenbruch Clayburgh. Her brother, Jim Clayburgh, is a scenic designer. Her mother was Protestant and her father was Jewish, though she reportedly never talked about her religious background and was rais ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
YouTube
YouTube is a global online video platform, online video sharing and social media, social media platform headquartered in San Bruno, California. It was launched on February 14, 2005, by Steve Chen, Chad Hurley, and Jawed Karim. It is owned by Google, and is the List of most visited websites, second most visited website, after Google Search. YouTube has more than 2.5 billion monthly users who collectively watch more than one billion hours of videos each day. , videos were being uploaded at a rate of more than 500 hours of content per minute. In October 2006, YouTube was bought by Google for $1.65 billion. Google's ownership of YouTube expanded the site's business model, expanding from generating revenue from advertisements alone, to offering paid content such as movies and exclusive content produced by YouTube. It also offers YouTube Premium, a paid subscription option for watching content without ads. YouTube also approved creators to participate in Google's Google AdSens ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
It's My Turn (film)
''It's My Turn'' is a 1980 American romantic comedy-drama film starring Jill Clayburgh, Michael Douglas, and Charles Grodin. The film was directed by Claudia Weill and written by Eleanor Bergstein. Plot Kate Gunzinger is a mathematics professor at a Chicago university. She lives with divorcé Homer, in a comfortable but not terribly passionate relationship. Kate travels to New York for a job interview and to attend the wedding of her widowed father. She is offered the job, though it does not look promising, as she will not be able to continue doing research. She meets the bride's son, Ben Lewin, a former professional baseball player. Ben is married, but a relationship develops with Kate. He takes her to Yankee Stadium for an old-timers' day ceremony, and eventually, they have an affair. When they part, Kate goes back to Chicago and breaks up with Homer. She returns to work, where she is greeted with a gift sent by Ben. Cast Production The film's title track, " It's My Turn", ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harvard Crimson
The Harvard Crimson are the intercollegiate athletic teams of Harvard College. The school's teams compete in NCAA Division I. As of 2013, there were 42 Division I intercollegiate varsity sports teams for women and men at Harvard, more than at any other NCAA Division I college in the country. Like the other Ivy League colleges, Harvard does not offer athletic scholarships. Sports sponsored Baseball Harvard's baseball program began competing in the 1865 season. It has appeared in four College World Series. It plays at Joseph J. O'Donnell Field and is currently coached by Bill Decker. Basketball Men's basketball Harvard has an intercollegiate men's basketball program. The team currently competes in the Ivy League in Division I of the National Collegiate Athletic Association (NCAA) and play home games at the Lavietes Pavilion in Boston. The team's last appearance in the NCAA Division I men's basketball tournament was in 2014, where they beat Cincinnati in the Round of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Princeton University
Princeton University is a private university, private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial Colleges, fourth-oldest institution of higher education in the United States and one of the nine colonial colleges chartered before the American Revolution. It is one of the highest-ranked universities in the world. The institution moved to Newark, New Jersey, Newark in 1747, and then to the current site nine years later. It officially became a university in 1896 and was subsequently renamed Princeton University. It is a member of the Ivy League. The university is governed by the Trustees of Princeton University and has an endowment of $37.7 billion, the largest List of colleges and universities in the United States by endowment, endowment per student in the United States. Princeton provides undergraduate education, undergraduate and graduate education, graduate in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Marshall Scholar
The Marshall Scholarship is a postgraduate scholarship for "intellectually distinguished young Americans ndtheir country's future leaders" to study at any university in the United Kingdom. It is widely considered one of the most prestigious scholarships for U.S. citizens, and along with the Fulbright Scholarship, it is the only broadly available scholarship available to Americans to study at any university in the United Kingdom. Created by the Parliament of the United Kingdom in 1953 as a living gift to the United States in recognition of the generosity of Secretary of State George C. Marshall and the Marshall Plan in the wake of World War II, the goal of the scholarship was to strengthen the Special Relationship between the two countries for "the good of mankind in this turbulent world." The scholarships are awarded by the Marshall Aid Commemoration Commission and are largely funded by the British government. The program was also the first major co-educational British graduat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Phi Beta Kappa
The Phi Beta Kappa Society () is the oldest academic honor society in the United States, and the most prestigious, due in part to its long history and academic selectivity. Phi Beta Kappa aims to promote and advocate excellence in the liberal arts and sciences, and to induct the most outstanding students of arts and sciences at only select American colleges and universities. It was founded at the College of William and Mary on December 5, 1776, as the first collegiate Greek-letter fraternity and was among the earliest collegiate fraternal societies. Since its inception, 17 U.S. Presidents, 40 U.S. Supreme Court Justices, and 136 Nobel Laureates have been inducted members. Phi Beta Kappa () stands for ('), which means "Wisdom it. love of knowledgeis the guide it. helmsmanof life". Membership Phi Beta Kappa has chapters in only about 10% of American higher learning institutions, and only about 10% of these schools' Arts and Sciences graduates are invited to join the society. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pingry School
The Pingry School is a coeducational, independent, college preparatory country day school in New Jersey, with a Lower School (K–5) campus in the Short Hills neighborhood of Millburn, and a Middle (6–8) and Upper School (9–12) campus in the Basking Ridge section of Bernards Township. The school was founded in 1861 by John F. Pingry. The school has been accredited by the Middle States Association of Colleges and Schools Commission on Elementary and Secondary Schools since 1998 and is considered one of the most prestigious in the state and country.The Pingry School Commiss ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
