Louis Shapiro (mathematician)
   HOME
*





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 ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Americans
Americans are the Citizenship of the United States, citizens and United States nationality law, nationals of the United States, United States of America.; ; Although direct citizens and nationals make up the majority of Americans, many Multiple citizenship, dual citizens, expatriates, and green card, permanent residents could also legally claim American nationality. The United States is home to race and ethnicity in the United States, people of many racial and ethnic origins; consequently, culture of the United States, American culture and Law of the United States, law do not equate nationality with Race (human categorization), race or Ethnic group, ethnicity, but with citizenship and an Oath of Allegiance (United States), oath of permanent allegiance. Overview The majority of Americans or their ancestors Immigration to the United States, immigrated to the United States or are descended from people who were Trans Atlantic Slave Trade, brought as Slavery in the United States ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Harvard University
Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of higher learning in the United States and one of the most prestigious and highly ranked universities in the world. The university is composed of ten academic faculties plus Harvard Radcliffe Institute. The Faculty of Arts and Sciences offers study in a wide range of undergraduate and graduate academic disciplines, and other faculties offer only graduate degrees, including professional degrees. Harvard has three main campuses: the Cambridge campus centered on Harvard Yard; an adjoining campus immediately across Charles River in the Allston neighborhood of Boston; and the medical campus in Boston's Longwood Medical Area. Harvard's endowment is valued at $50.9 billion, making it the wealthiest academic institution in the world. Endowment inco ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

University Of Maryland, College Park
The University of Maryland, College Park (University of Maryland, UMD, or simply Maryland) is a public land-grant research university in College Park, Maryland. Founded in 1856, UMD is the flagship institution of the University System of Maryland. It is also the largest university in both the state and the Washington metropolitan area, with more than 41,000 students representing all fifty states and 123 countries, and a global alumni network of over 388,000. Together, its 12 schools and colleges offer over 200 degree-granting programs, including 92 undergraduate majors, 107 master's programs, and 83 doctoral programs. UMD is a member of the Association of American Universities and competes in intercollegiate athletics as a member of the Big Ten Conference. The University of Maryland's proximity to the nation's capital has resulted in many research partnerships with the federal government; faculty receive research funding and institutional support from many agencies, such as ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Naiomi Cameron
Naiomi Tuere Cameron is an American mathematician working in the field of combinatorics. She is an associate professor at Spelman College as well as the vice president of National Association of Mathematicians. She was previously an associate professor at Lewis & Clark College in Portland, OR. Cameron was born in Washington, D.C. and raised in Providence, Rhode Island. She attended Howard University for her undergraduate and graduate school, receiving both her B.S. and  PhD in Mathematics. In 2019, she was featured on '' Mathematically Gifted and Black'' as a Black History Month 2019 Honoree. Research Cameron's academic work has been focused on enumerative and algebraic combinatorics and number theory. Her thesis for her dissertation in 2002 was ''Random Walks, Trees and Extensions of Riordan Group Techniques''. Her other publications include: * N. Cameron, K. Killpatrick, Inversion polynomials for permutations avoiding consecutive patterns, Advances in Applied Mathematics 67 ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Combinatorics
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many applications ranging from logic to statistical physics and from evolutionary biology to computer science. Combinatorics is well known for the breadth of the problems it tackles. Combinatorial problems arise in many areas of pure mathematics, notably in algebra, probability theory, topology, and geometry, as well as in its many application areas. Many combinatorial questions have historically been considered in isolation, giving an ''ad hoc'' solution to a problem arising in some mathematical context. In the later twentieth century, however, powerful and general theoretical methods were developed, making combinatorics into an independent branch of mathematics in its own right. One of the oldest and most accessible parts of combinatorics is gra ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Finite Group Theory
Finite is the opposite of infinite. It may refer to: * Finite number (other) * Finite set, a set whose cardinality (number of elements) is some natural number * Finite verb, a verb form that has a subject, usually being inflected or marked for person and/or tense or aspect * "Finite", a song by Sara Groves from the album '' Invisible Empires'' See also * * Nonfinite (other) Nonfinite is the opposite of finite * a nonfinite verb is a verb that is not capable of serving as the main verb in an independent clause * a non-finite clause In linguistics, a non-finite clause is a dependent or embedded clause that represen ... {{disambiguation fr:Fini it:Finito ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Howard University
Howard University (Howard) is a private, federally chartered historically black research university in Washington, D.C. It is classified among "R2: Doctoral Universities – High research activity" and accredited by the Middle States Commission on Higher Education. Tracing its history to 1867, from its outset Howard has been nonsectarian and open to people of all sexes and races. It offers undergraduate, graduate and professional degrees in more than 120 programs, more than any other historically black college or university (HBCU) in the nation. History 19th century Shortly after the end of the American Civil War, members of the First Congregational Society of Washington considered establishing a theological seminary for the education of black clergymen. Within a few weeks, the project expanded to include a provision for establishing a university. Within two years, the university consisted of the colleges of liberal arts and medicine. The new institution was named for Gene ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  




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_ = [t^n]d(t) h(t)^k. A Riordan array is an element of the Riordan group. It was defined by mathematician Louis Shapiro (mathematician), Louis W. Shapiro and named after mathematician John Riordan (mathematician), John Riordan. The study of Riordan arrays is a growing field that is both being influenced by, and continuing its contributions to, other fields such as combinatorics, group theory, matrix theory, number theory, probability, sequences and series, Lie group, Lie groups and Lie algebra, Lie algebras, orthogonal polynomials, graph theory, networks, unimodal sequences, combinatorial identities, elliptic curves, numerical approximation, asymptotics, and data analysis. Riordan arrays are also a unifying concept, binding together important tools: generating functions, computer algebra systems, formal languages, path ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


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 ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

1941 Births
Events Below, the events of World War II have the "WWII" prefix. January * January–August – 10,072 men, women and children with mental and physical disabilities are asphyxiated with carbon monoxide in a gas chamber, at Hadamar Euthanasia Centre in Germany, in the first phase of mass killings under the Action T4 program here. * January 1 – Thailand's Prime Minister Plaek Phibunsongkhram decrees January 1 as the official start of the Thai solar calendar new year (thus the previous year that began April 1 had only 9 months). * January 3 – A decree (''Normalschrifterlass'') promulgated in Germany by Martin Bormann, on behalf of Adolf Hitler, requires replacement of blackletter typefaces by Antiqua. * January 4 – The short subject ''Elmer's Pet Rabbit'' is released, marking the second appearance of Bugs Bunny, and also the first to have his name on a title card. * January 5 – WWII: Battle of Bardia in Libya: Australian and British troops def ...
[...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]