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John Riordan (mathematician)
John Francis Riordan (April 22, 1903 – August 27, 1988) was an American mathematician and the author of major early works in combinatorics, particularly ''Introduction to Combinatorial Analysis'' and ''Combinatorial Identities''. Biography Riordan was a graduate of Yale University. In his early life he wrote a number of poems and essays and a book of short-stories, ''On the Make'', published in 1929, and was Editor-in-Chief of ''Salient'' and ''The Figure in the Carpet'', literary magazines published by The New School for Social Research in New York. He married Mavis McIntosh, the well-known poet and literary agent and founder of McIntosh & Otis. The couple had two daughters: Sheila Riordan and Kathleen Riordan Speeth, and were long time residents of Hastings-on-Hudson, New York. Riordan's long professional career was at Bell Labs, which he joined in 1926 (a year after its foundation) and where he remained, publishing over a hundred scholarly papers on combinatorial analy ...
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Derby, Connecticut
Derby is a city in New Haven County, Connecticut, United States, approximately 8 miles west-northwest of New Haven. It is located in southwest Connecticut at the confluence of the Housatonic and Naugatuck Rivers. It borders the cities of Ansonia to the north and Shelton to the southwest, and the towns of Orange to the south, Seymour to the northwest, and Woodbridge to the east. The population was 12,325 at the 2020 census. It is the smallest city in Connecticut by area, at 5.3 square miles. Derby was settled in 1642 as an Indian trading post under the name Paugasset. It was named after Derby, England, in 1675. It included what are now Ansonia, Seymour, Oxford, and parts of Beacon Falls. Derby is home to the first electric trolley system in New England, only the second in the United States. It is also home to the first electric locomotive in U.S. history to be built and successfully used commercially for hauling freight. The locomotive, built in 1888, is still kept in ru ...
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Louis Shapiro (mathematician)
Louis Welles Shapiro (born 1941) is an American mathematician working in the fields of combinatorics and finite group theory. He is an emeritus professor at Howard University. Shapiro attended Harvard University for his undergraduate studies and then the University of Maryland, College Park for graduate school. Shapiro is most known for introducing the Riordan array A Riordan array is an infinite lower triangular matrix, D, constructed out of two formal power series, d(t) of order 0 and h(t) of order 1, in such a way that d_ = ^n(t) h(t)^k. A Riordan array is an element of the Riordan group. It was ..., named after mathematician John Riordan, and developing the theory around it. He has been an organizer of and speaker at the annual International Conference on Riordan Arrays and Related Topics, which has been held annually beginning 2014. References 1941 births Living people 20th-century American mathematicians 21st-century American mathematicians Howar ...
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People From Hastings-on-Hudson, New York
A person ( : people) is a being that has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal responsibility. The defining features of personhood and, consequently, what makes a person count as a person, differ widely among cultures and contexts. In addition to the question of personhood, of what makes a being count as a person to begin with, there are further questions about personal identity and self: both about what makes any particular person that particular person instead of another, and about what makes a person at one time the same person as they were or will be at another time despite any intervening changes. The plural form "people" is often used to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its use as a plural form of p ...
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Yale University Alumni
Yale University is a Private university, private research university in New Haven, Connecticut. Established in 1701 as the Collegiate School, it is the List of Colonial Colleges, 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 Congregationalism in the United States, 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 Doctor of Philosophy, 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 sc ...
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Scientists At Bell Labs
A scientist is a person who conducts scientific research to advance knowledge in an area of the natural sciences. In classical antiquity, there was no real ancient analog of a modern scientist. Instead, philosophers engaged in the philosophical study of nature called natural philosophy, a precursor of natural science. Though Thales (circa 624-545 BC) was arguably the first scientist for describing how cosmic events may be seen as natural, not necessarily caused by gods,Frank N. Magill''The Ancient World: Dictionary of World Biography'', Volume 1 Routledge, 2003 it was not until the 19th century that the term ''scientist'' came into regular use after it was coined by the theologian, philosopher, and historian of science William Whewell in 1833. In modern times, many scientists have advanced degrees in an area of science and pursue careers in various sectors of the economy such as academia, industry, government, and nonprofit environments.'''' History ...
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John Wiley & Sons
John Wiley & Sons, Inc., commonly known as Wiley (), is an American multinational publishing company founded in 1807 that focuses on academic publishing and instructional materials. The company produces books, journals, and encyclopedias, in print and electronically, as well as online products and services, training materials, and educational materials for undergraduate, graduate, and continuing education students. History The company was established in 1807 when Charles Wiley opened a print shop in Manhattan. The company was the publisher of 19th century American literary figures like James Fenimore Cooper, Washington Irving, Herman Melville, and Edgar Allan Poe, as well as of legal, religious, and other non-fiction titles. The firm took its current name in 1865. Wiley later shifted its focus to scientific, technical, and engineering subject areas, abandoning its literary interests. Wiley's son John (born in Flatbush, New York, October 4, 1808; died in East Orange, ...
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Duke Mathematical Journal
''Duke Mathematical Journal'' is a peer-reviewed mathematics journal published by Duke University Press. It was established in 1935. The founding editors-in-chief were David Widder, Arthur Coble, and Joseph Miller Thomas. The first issue included a paper by Solomon Lefschetz. Leonard Carlitz served on the editorial board for 35 years, from 1938 to 1973. The current managing editor is Richard Hain (Duke University). Impact According to the journal homepage, the journal has a 2018 impact factor of 2.194, ranking it in the top ten mathematics journals in the world. References External links * Mathematics journals Mathematical Journal In academic publishing, a scientific journal is a periodical publication intended to further the progress of science, usually by reporting new research. Content Articles in scientific journals are mostly written by active scientists such as s ... Publications established in 1935 Multilingual journals English-language journals French-lan ...
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Farrar & Rinehart
Farrar & Rinehart (1929–1946) was a United States book publishing company founded in New York. Farrar & Rinehart enjoyed success with both nonfiction and novels, notably, the landmark Rivers of America Series and the first ten books in the Nero Wolfe corpus of Rex Stout. In 1943 the company was recognized with the first Carey-Thomas Award for creative publishing presented by ''Publishers Weekly''. History Farrar & Rinehart was founded in June 1929 by John C. Farrar (vice president) and Stanley M. Rinehart, Jr. (president), in partnership with Frederick R. Rinehart. In forming the company, Farrar and the Rineharts left the massive Doubleday, Doran publishing house, the result of a merger between their mutual employer, the George H. Doran Company, with Doubleday, Page & Company in 1927. Both Stanley and Fredrick were the sons of the famous playwright and author, Mary Roberts Rinehart. Mary Roberts Rinehart supported her sons and their company by leaving Doubleday, Doran; ...
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Neil Sloane
__NOTOC__ Neil James Alexander Sloane (born October 10, 1939) is a British-American mathematician. His major contributions are in the fields of combinatorics, error-correcting codes, and sphere packing. Sloane is best known for being the creator and maintainer of the On-Line Encyclopedia of Integer Sequences (OEIS). Biography Sloane was born in Beaumaris, Anglesey, Wales, in 1939, moving to Cowes, Isle of Wight, England in 1946. The family emigrated to Australia, arriving at the start of 1949. Sloane then moved from Melbourne to the United States in 1961. He studied at Cornell University under Nick DeClaris, Frank Rosenblatt, Frederick Jelinek and Wolfgang Heinrich Johannes Fuchs, receiving his Ph.D. in 1967. His doctoral dissertation was titled ''Lengths of Cycle Times in Random Neural Networks''. Sloane joined AT&T Bell Labs in 1968 and retired from AT&T Labs in 2012. He became an AT&T Fellow in 1998. He is also a Fellow of the Learned Society of Wales, an IEE ...
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Generating Function
In mathematics, a generating function is a way of encoding an infinite sequence of numbers () by treating them as the coefficients of a formal power series. This series is called the generating function of the sequence. Unlike an ordinary series, the ''formal'' power series is not required to converge: in fact, the generating function is not actually regarded as a function, and the "variable" remains an indeterminate. Generating functions were first introduced by Abraham de Moivre in 1730, in order to solve the general linear recurrence problem. One can generalize to formal power series in more than one indeterminate, to encode information about infinite multi-dimensional arrays of numbers. There are various types of generating functions, including ordinary generating functions, exponential generating functions, Lambert series, Bell series, and Dirichlet series; definitions and examples are given below. Every sequence in principle has a generating function of each type (exc ...
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