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Michael Somos
Michael Somos is an American mathematician, who was a visiting scholar in the Georgetown University Mathematics and Statistics department for four years and is a visiting scholar at Catholic University of America. In the late eighties he proposed a conjecture about certain polynomial recurrences, now called Somos sequences, that surprisingly in some cases contain only integers. Somos' quadratic recurrence constant is also named after him. Notes References * Michael Somos and Robert Haas, "A Linked Pair of Sequences Implies the Primes Are Infinite", ''The American Mathematical Monthly'', volume 110, number 6 (June – July, 2003), pp. 539–540 External links Michael Somos's homepage '' |
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] |
Georgetown University
Georgetown University is a private university, private research university in the Georgetown (Washington, D.C.), Georgetown neighborhood of Washington, D.C. Founded by Bishop John Carroll (archbishop of Baltimore), John Carroll in 1789 as Georgetown College (Georgetown University), Georgetown College, the university has grown to comprise eleven Undergraduate education, undergraduate and Postgraduate education, graduate schools, including the School of Foreign Service, Walsh School of Foreign Service, McDonough School of Business, Georgetown University School of Medicine, Medical School, Georgetown University Law Center, Law School, and a Georgetown University in Qatar, campus in Qatar. The school's main campus, on a hill above the Potomac River, is identifiable by its flagship Healy Hall, a National Historic Landmark. The school was founded by and is affiliated with the Society of Jesus, and is the oldest Catholic institution of higher education in the United States, though the m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Catholic University Of America
The Catholic University of America (CUA) is a private Roman Catholic research university in Washington, D.C. It is a pontifical university of the Catholic Church in the United States and the only institution of higher education founded by U.S. Catholic bishops. Established in 1887 as a graduate and research center following approval by Pope Leo XIII, the university began offering undergraduate education in 1904. It is classified among "R2: Doctoral Universities – High research activity". Its campus is adjacent to the Brookland neighborhood, known as "Little Rome", which contains 60 Catholic institutions, including Trinity Washington University, the Dominican House of Studies, and Archbishop Carroll High School, as well as the Basilica of the National Shrine of the Immaculate Conception. CUA's programs emphasize the liberal arts, professional education, and personal development. The school stays closely connected with the Catholic Church and Catholic organizations. The re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polynomial Recurrence
In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An example of a polynomial of a single indeterminate is . An example with three indeterminates is . Polynomials appear in many areas of mathematics and science. For example, they are used to form polynomial equations, which encode a wide range of problems, from elementary word problems to complicated scientific problems; they are used to define polynomial functions, which appear in settings ranging from basic chemistry and physics to economics and social science; they are used in calculus and numerical analysis to approximate other functions. In advanced mathematics, polynomials are used to construct polynomial rings and algebraic varieties, which are central concepts in algebra and algebraic geometry. Etymology The word ''polynomial'' joins tw ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Somos Sequence
In mathematics, a Somos sequence is a sequence of numbers defined by a certain recurrence relation, described below. They were discovered by mathematician Michael Somos. From the form of their defining recurrence (which involves division), one would expect the terms of the sequence to be fractions, but nevertheless many Somos sequences have the property that all of their members are integers. Recurrence equations For an integer number ''k'' larger than 1, the Somos-''k'' sequence (a_0, a_1, a_2, \ldots ) is defined by the equation :a_n a_ = a_ a_ + a_ a_ + \cdots + a_ a_ when ''k'' is odd, or by the analogous equation :a_n a_ = a_ a_ + a_ a_ + \cdots + (a_)^2 when ''k'' is even, together with the initial values : ''a''''i'' = 1 for ''i'' < ''k''. For ''k'' = 2 or 3, these recursions are very simple (there is no addition on the right-hand side) and they define the all-ones sequence (1, 1, 1, 1, 1, 1, ...). In the first nontrivial case, ''k'' = 4, the definin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Massachusetts Lowell
The University of Massachusetts Lowell (UMass Lowell and UML) is a public research university in Lowell, Massachusetts, with a satellite campus in Haverhill, Massachusetts. It is the northernmost member of the University of Massachusetts public university system and has been accredited by the New England Commission of Higher Education (NECHE) since 1975. With 1,110 faculty members and over 18,000 students, it is the largest university in the Merrimack Valley and the second-largest public institution in the state. It is classified among "R2: Doctoral Universities – High research activity". The university offers 120 bachelor's degree, 43 master's degree, and 25 doctoral degree programs, including nationally recognized programs in engineering, criminal justice, education, music, science, and technology. The university is one of the few public universities in the United States to offer accredited undergraduate degrees in meteorology, sound recording technology, nuclear engineering ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jim Propp
James Gary Propp is a professor of mathematics at the University of Massachusetts Lowell. Education and career In high school, Propp was one of the national winners of the United States of America Mathematical Olympiad (USAMO), and an alumnus of the Hampshire College Summer Studies in Mathematics. Propp obtained his AB in mathematics in 1982 at Harvard. After advanced study at Cambridge, he obtained his PhD from the University of California at Berkeley. He has held professorships at seven universities, including Harvard, MIT, the University of Wisconsin, and the University of Massachusetts Lowell. Mathematical research Propp is the co-editor of the book ''Microsurveys in Discrete Probability'' (1998) and has written more than fifty journal articles on game theory, combinatorics and probability, and recreational mathematics. He lectures extensively and has served on the Mathematical Olympiad Committee of the Mathematical Association of America, which sponsors the USAMO. In the e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Somos' Quadratic Recurrence Constant
In mathematics, Somos' quadratic recurrence constant, named after Michael Somos, is the number :\sigma = \sqrt = 1^\;2^\; 3^ \cdots.\, This can be easily re-written into the far more quickly converging product representation :\sigma = \sigma^2/\sigma = \left(\frac \right)^ \left(\frac \right)^ \left(\frac \right)^ \left(\frac \right)^ \cdots, which can then be compactly represented in infinite product form by: :\sigma = \prod_^ \left(1 + \frac\right)^. The constant σ arises when studying the asymptotic behaviour of the sequence :g_0 = 1\, ; \,g_n = n g_^2, \qquad n > 1,\, with first few terms 1, 1, 2, 12, 576, 1658880, ... . This sequence can be shown to have asymptotic behaviour as follows: :g_n \sim \frac . Guillera and Sondow give a representation in terms of the derivative of the Lerch transcendent: :\ln \sigma = \frac \frac\!\left( \frac, 0, 1 \right) where ln is the natural logarithm and \Phi(''z'', ''s'', ''q'') is the Lerch transcendent. Finall ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The American Mathematical Monthly
''The American Mathematical Monthly'' is a mathematical journal founded by Benjamin Finkel in 1894. It is published ten times each year by Taylor & Francis for the Mathematical Association of America. The ''American Mathematical Monthly'' is an expository journal intended for a wide audience of mathematicians, from undergraduate students to research professionals. Articles are chosen on the basis of their broad interest and reviewed and edited for quality of exposition as well as content. In this the ''American Mathematical Monthly'' fulfills a different role from that of typical mathematical research journals. The ''American Mathematical Monthly'' is the most widely read mathematics journal in the world according to records on JSTOR. Tables of contents with article abstracts from 1997–2010 are availablonline The MAA gives the Lester R. Ford Awards annually to "authors of articles of expository excellence" published in the ''American Mathematical Monthly''. Editors *2022– ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Numberphile
''Numberphile'' is an educational YouTube channel featuring videos that explore topics from a variety of fields of mathematics. In the early days of the channel, each video focused on a specific number, but the channel has since expanded its scope, featuring videos on more advanced mathematical concepts such as Fermat's Last Theorem, the Riemann hypothesis and Kruskal's tree theorem. The videos are produced by Brady Haran, a former BBC video journalist and creator of Periodic Videos, Sixty Symbols, and several other YouTube channels. Videos on the channel feature several university professors, maths communicators and famous mathematicians. In 2018, Haran released a spin-off audio podcast titled ''The Numberphile Podcast''. YouTube channel The ''Numberphile'' YouTube channel was started on 15 September 2011. Most videos consist of Haran interviewing an expert on a number, mathematical theorem or other mathematical concept. The expert usually draws out their explanation on a la ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
