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Ulam, the Man and the Mathematician
, 1985
"... First of all a few words of introduction. Ulam was a friend and collaborator of mine for about 50 years. We had innumerable mathematical and political discussions and have several joint papers. While discussing mostly our joint work I will neglect his work in physics, biology, computers and computer ..."
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at Harvard University where he was a member of the Society of Fellows. But our real mathematical contact started when I visited him twice at the University of Wisconsin between 1941 and 1943 and where we obtained our first joint results. Then I met him in Santa Fe and Los Angeles in 1946. He had a serious
Gröbner Bases and Invariant Theory
"... This paper was Hilbert's quick answer to those of his fellow mathematicians who harshly criticized the nonconstructiveness of his first proof. The second paper contains the Nullstellensatz, the HilbertMumford criterion ..."
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This paper was Hilbert's quick answer to those of his fellow mathematicians who harshly criticized the nonconstructiveness of his first proof. The second paper contains the Nullstellensatz, the HilbertMumford criterion
When British mathematician Sir Michael Atiyah ended
"... his 4year term of office as the president of the Royal Society in 1995, he made a call to scientists ‘‘to criticize the establishment when necessary’ ’ and to ‘‘demonstrate that independence of thought really is the hallmark of a scientist’ ’ [1]. Sir Michael no doubt thought highly of James Lovelo ..."
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Lovelock, fellow himself of the Royal society, who is the paradigm of independent science – not only independence of thought but also of action. A chemist and inventor, James Lovelock, widely known as the father of the Gaia hypothesis, became fellow of the Royal Society, the world’s oldest scientific
Looking back … Max Zorn: World Renowned Mathematician and Member of the Indiana MAA Section
"... undergraduate math majors, at some point in their studies learn the importance of the axiom of choice and some of its equivalent versions. The author of this note was a graduate student studying topology in the 1970’s, when the current “mathematical humor’ ’ in my group involved riddles like the fol ..."
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the following: Q: “What’s sour and yellow and equivalent to the axiom of choice?” A: “Zorn’s lemon!” While I knew that “Zorn ” was the name of a mathematician who proved an equivalent version of the Axiom of Choice, I didn’t know much aboutthe man Max Zorn until the late 1980s when a research colleague told me
Bootstrap  inspired techniques in computation intelligence
 Signal Processing Magazine, IEEE
, 2007
"... [Ensemble of classifiers for incremental learning, data fusion, and missing feature analysis] This article is about the success story of a seemingly simple yet extremely powerful approach that has recently reached a celebrity status in statistical and engineering sciences. The hero of this story—boo ..."
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—bootstrap resampling—is relatively young, but the story itself is a familiar one within the scientific community: a mathematician or a statistician conceives and formulates a theory that is first developed by fellow mathematicians and then brought to fame by other professionals, typically engineers, who point to many
Yet another elementary solution of the brachistochrone problem, http://www.calstatela.edu/faculty/gbrookf
, 2006
"... In 1696 Johann Bernoulli issued a famous challenge to his fellow mathematicians: Given two points A and B in a vertical plane, find the curve connecting the two points such that an object, starting with zero velocity at A, slides without friction along the curve to B in the least possible time. Su ..."
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In 1696 Johann Bernoulli issued a famous challenge to his fellow mathematicians: Given two points A and B in a vertical plane, find the curve connecting the two points such that an object, starting with zero velocity at A, slides without friction along the curve to B in the least possible time
Incompleteness: The Proof and Paradox of Kurt
, 2005
"... Popular books on mathematics play an important role in the lay public’s education. But as is known to anyone who has given a popular mathematics lecture or written about a famous theorem for an audience of nonmathematicians, doing justice to the mathematics in question is almost impossible in those ..."
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circumstances. Rebecca Goldstein, the MacArthur Foundation fellow and author of The MindBody Problem (a novel which seems to be quite popular among mathematicians) attempts an even more difficult task in her short new book
What Shape Is a Snowflake? Magical Numbers in Nature
"... Ian Stewart is certainly the most prolific, and probably the most successful, among the current popularizers of mathematics. (“Further Reading ” in the second of the books reviewed here lists no fewer than seven of his other books on topics ranging from bifurcation and catastrophe to philosophy, inc ..."
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, including the first reviewed here.) He is also a serious research mathematician, working in dynamical systems with an emphasis on systems with symmetries; indeed, he was recently elected a Fellow of the Royal Society, and in 1995 he won the Society’s Faraday Medal for his contributions
Representations of KacMoody Algebras and Combinatorics
"... The particular focus of this workshop was on the combinatorial aspects of representation theory. It brought together senior mathematicians working in the representation theory of KacMoody algebras with students and postdoctoral fellows who are in the initial stages of their career in this field. Th ..."
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The particular focus of this workshop was on the combinatorial aspects of representation theory. It brought together senior mathematicians working in the representation theory of KacMoody algebras with students and postdoctoral fellows who are in the initial stages of their career in this field
Book Review The Nature of Space and Time Reviewed by Claude LeBrun The Nature of Space and Time
, 1994
"... lecture hall of the Newton Institute in Cambridge, England. Renowned physicists and mathematicians, often accompanied by their brightest graduate students, were sprinkled through the crowd. Around them pushed a mob of intellectual tourists—“town and gown”—spilling into the foyer and out the side doo ..."
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lecture hall of the Newton Institute in Cambridge, England. Renowned physicists and mathematicians, often accompanied by their brightest graduate students, were sprinkled through the crowd. Around them pushed a mob of intellectual tourists—“town and gown”—spilling into the foyer and out the side
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