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A. M. Garsia
Adriano Mario Garsia (20 August 1928 – 6 October 2024) was a Tunisian-born Italian American mathematician who worked in analysis, combinatorics, representation theory, and algebraic geometry. He was a student of Charles Loewner and published work on representation theory, symmetric functions, and algebraic combinatorics. He and Mark Haiman made the n! conjecture. He is also the namesake of the Garsia–Wachs algorithm for optimal binary search trees, which he published with his student Michelle L. Wachs in 1977. Life Born to Italian Tunisians in Tunis on 20 August 1928, Garsia moved to Rome in 1946. , he had 36 students and at least 200 descendants, according to the data at the Mathematics Genealogy Project. He was on the faculty of the University of California, San Diego. He retired in 2013 after 57 years at UCSD as a founding member of the Mathematics Department. At his 90 Birthday Conference in 2019, it was notable that he was the oldest principal investigator of a grant ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tunis
Tunis (, ') is the capital city, capital and largest city of Tunisia. The greater metropolitan area of Tunis, often referred to as "Grand Tunis", has about 2,700,000 inhabitants. , it is the third-largest city in the Maghreb region (after Casablanca and Algiers) and the List of largest cities in the Arab world, eleventh-largest in the Arab world. Situated on the Gulf of Tunis, behind the Lake of Tunis and the port of La Goulette (Ḥalq il-Wād), the city extends along the coastal plain and the hills that surround it. At its core lies the Medina of Tunis, Medina, a World Heritage Site. East of the Medina, through the Sea Gate (also known as the ''Bab el Bhar'' and the ''Porte de France''), begins the modern part of the city called "Ville Nouvelle", traversed by the grand Avenue Habib Bourguiba (often referred to by media and travel guides as "the Tunisian Champs-Élysées"), where the colonial-era buildings provide a clear contrast to smaller, older structures. Further east by th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Symmetric Function
In mathematics, a function of n variables is symmetric if its value is the same no matter the order of its arguments. For example, a function f\left(x_1,x_2\right) of two arguments is a symmetric function if and only if f\left(x_1,x_2\right) = f\left(x_2,x_1\right) for all x_1 and x_2 such that \left(x_1,x_2\right) and \left(x_2,x_1\right) are in the domain of f. The most commonly encountered symmetric functions are polynomial functions, which are given by the symmetric polynomials. A related notion is alternating polynomials, which change sign under an interchange of variables. Aside from polynomial functions, tensors that act as functions of several vectors can be symmetric, and in fact the space of symmetric k-tensors on a vector space V is isomorphic to the space of homogeneous polynomials of degree k on V. Symmetric functions should not be confused with even and odd functions, which have a different sort of symmetry. Symmetrization Given any function f in n variab ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1928 Births
Events January * January – British bacteriologist Frederick Griffith reports the results of Griffith's experiment, indirectly demonstrating that DNA is the genetic material. * January 1 – Eastern Bloc emigration and defection: Boris Bazhanov, Joseph Stalin's personal secretary, crosses the border to Iran to defect from the Soviet Union. * January 17 – The OGPU arrests Leon Trotsky in Moscow; he assumes a status of passive resistance and is exiled with his family. * January 26 – The volcanic island Anak Krakatau appears. February * February – The Ford River Rouge Complex at Dearborn, Michigan, an automobile plant begun in 1917, is completed as the world's largest integrated factory. * February 8 – Scottish-born inventor John Logie Baird broadcasts a transatlantic television signal from London to Hartsdale, New York. * February 11 – February 19, 19 – The 1928 Winter Olympics are held in St. Moritz, Switzerland, the first as a separate event. Sonja Henie of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Université Du Québec à Montréal
The (UQAM; ), is a French language, French-language public university, public research university based in Montreal, Quebec, Canada. It is the largest constituent element of the system. UQAM was founded on April 9, 1969, by the government of Quebec, through the merger of the , a fine arts school; the , a classical college; and a number of smaller schools. Although part of the UQ network, UQAM possesses a relative independence which allows it to choose its rector. In the fall of 2018, the university welcomed some 40,738 students, including 3,859 international students from 95 countries, in a total of 310 distinct programs of study, managed by six faculties (Arts, Education, Communication, Political Science and Law, Science and Social science) and one school (Management). It offers Bachelor's degree, Bachelors, Master's degree, Masters, and Doctor of Philosophy, Doctoral degrees. It is one of Montreal's two French-language universities, along with the , and only 1% of its stud ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe became the first president while Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance over concerns about competing with the '' American Journal of Mathematics''. The result was the ''Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influentia ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
National Science Foundation
The U.S. National Science Foundation (NSF) is an Independent agencies of the United States government#Examples of independent agencies, independent agency of the Federal government of the United States, United States federal government that supports fundamental research and education in all the non-medical fields of science and engineering. Its medical counterpart is the National Institutes of Health. With an annual budget of about $9.9 billion (fiscal year 2023), the NSF funds approximately 25% of all federally supported basic research conducted by the List of American institutions of higher education, United States' colleges and universities. In some fields, such as mathematics, computer science, economics, and the social sciences, the NSF is the major source of federal backing. NSF's director and deputy director are appointed by the president of the United States and Advice and consent, confirmed by the United States Senate, whereas the 24 president-appointed members of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics Genealogy Project
The Mathematics Genealogy Project (MGP) is a web-based database for the academic genealogy of mathematicians.. it contained information on 300,152 mathematical scientists who contributed to research-level mathematics. For a typical mathematician, the project entry includes graduation year, thesis title (in its Mathematics Subject Classification), '' alma mater'', doctoral advisor, and doctoral students.. Origin of the database The project grew out of founder Harry Coonce's desire to know the name of his advisor's advisor.. Coonce was Professor of Mathematics at Minnesota State University, Mankato, at the time of the project's founding, and the project went online there in the autumn of 1997.Mulcahy, Colm;The Mathematics Genealogy Project Comes of Age at Twenty-one(PDF) AMS Notices (May 2017) Coonce retired from Mankato in 1999, and in the autumn of 2002 the university decided that it would no longer support the project. The project relocated at that time to North Dakota State ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rome
Rome (Italian language, Italian and , ) is the capital city and most populated (municipality) of Italy. It is also the administrative centre of the Lazio Regions of Italy, region and of the Metropolitan City of Rome. A special named with 2,746,984 residents in , Rome is the list of cities in the European Union by population within city limits, third most populous city in the European Union by population within city limits. The Metropolitan City of Rome Capital, with a population of 4,223,885 residents, is the most populous metropolitan cities of Italy, metropolitan city in Italy. Rome metropolitan area, Its metropolitan area is the third-most populous within Italy. Rome is located in the central-western portion of the Italian Peninsula, within Lazio (Latium), along the shores of the Tiber Valley. Vatican City (the smallest country in the world and headquarters of the worldwide Catholic Church under the governance of the Holy See) is an independent country inside the city boun ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Italian Tunisians
Italian Tunisians (, or Italians of Tunisia) are Tunisian-born citizens who are fully or partially of Italian descent, whose ancestors were Italians who emigrated to Tunisia during the Italian diaspora, or Italian-born people in Tunisia. Migration and colonization, particularly during the 19th century, led to significant numbers of Italians settling in Tunisia. Italian presence in Tunisia The presence of Italian peoples in Tunisia began in the first half of the 19th century that its economic and social weight became critical in many fields of the social life of the country. The Republic of Genoa owned the island of Tabarka near Biserta, where the Genoese family Lomellini, who had purchased the grant of the coral fishing from the Ottoman Turks, maintained a garrison from 1540 to 1742. Here may still be seen the ruins of a stronghold, a church and some Genoese buildings. At Tabarka the ruins consist of a pit once used as a church and some fragments of walls which belonged to C ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Art Of Computer Programming
''The Art of Computer Programming'' (''TAOCP'') is a comprehensive multi-volume monograph written by the computer scientist Donald Knuth presenting programming algorithms and their analysis. it consists of published volumes 1, 2, 3, 4A, and 4B, with more expected to be released in the future. The Volumes 1–5 are intended to represent the central core of computer programming for sequential machines; the subjects of Volumes 6 and 7 are important but more specialized. When Knuth began the project in 1962, he originally conceived of it as a single book with twelve chapters. The first three volumes of what was then expected to be a seven-volume set were published in 1968, 1969, and 1973. Work began in earnest on Volume 4 in 1973, but was suspended in 1977 for work on typesetting prompted by the second edition of Volume 2. Writing of the final copy of Volume 4A began in longhand in 2001, and the first online pre-fascicle, 2A, appeared later in 2001. The first published installment ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Optimal Binary Search Tree
In computer science, an optimal binary search tree (Optimal BST), sometimes called a weight-balanced binary tree, is a binary search tree which provides the smallest possible search time (or Expected value, expected search time) for a given sequence of accesses (or access probabilities). Optimal BSTs are generally divided into two types: static and dynamic. In the static optimality problem, the tree cannot be modified after it has been constructed. In this case, there exists some particular layout of the nodes of the tree which provides the smallest expected search time for the given access probabilities. Various algorithms exist to construct or approximate the statically optimal tree given the information on the access probabilities of the elements. In the dynamic optimality problem, the tree can be modified at any time, typically by permitting tree rotations. The tree is considered to have a cursor starting at the root which it can move or use to perform modifications. In this c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Garsia–Wachs Algorithm
The Garsia–Wachs algorithm is an efficient method for computers to construct optimal binary search trees and Huffman coding, alphabetic Huffman codes, in linearithmic time. It is named after Adriano Garsia and Michelle L. Wachs. Problem description The input to the problem, for an integer n, consists of a sequence of n+1 non-negative weights w_0,w_1,\dots, w_n. The output is a rooted binary tree with n internal nodes, each having exactly two children. Such a tree has exactly n+1 leaf nodes, which can be identified (in the order given by the binary tree) with the n+1 input weights. The goal of the problem is to find a tree, among all of the possible trees with n internal nodes, that minimizes the weighted sum of the ''external path lengths''. These path lengths are the numbers of steps from the root to each leaf. They are multiplied by the weight of the leaf and then summed to give the quality of the overall tree. This problem can be interpreted as a problem of constructing a binar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
