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Terence Chi-Shen Tao FAA FRS (Chinese: 陶哲軒; born 17 July 1975) is an Australian-American mathematician, Fields medalist, and professor of mathematics at the University of California, Los Angeles (UCLA), where he holds the James and Carol Collins Chair in the College of Letters and Sciences.
Terence Tao summed up the advantage of the hyperreal framework by noting that it allows one to rigorously manipulate things such as "the set of all small numbers", or to rigorously say things like "η 1 is smaller than anything that involves η 0 ", while greatly reducing epsilon management issues by automatically concealing many of the ...
The Green–Tao theorem, proved by Ben Green and Terence Tao in 2004, [3] states that the sequence of prime numbers contains arbitrarily long arithmetic progressions. In other words, there exist arithmetic progressions of primes, with k terms, where k can be any natural number. The proof is an extension of Szemerédi's theorem.
Paul Erdős in 1985 at the University of Adelaide teaching Terence Tao, who was then 10 years old. Tao became a math professor at UCLA, received the Fields Medal in 2006, and was elected a Fellow of the Royal Society in 2007. His Erdős number is 2.
In 2006, Candès wrote a paper with Australian-American mathematician Terence Tao [5] that spearheaded the field of compressed sensing: the recovery of sparse signals from a few carefully constructed, and seemingly random measurements. Many researchers have since contributed to this field, which has introduced the idea of a camera that can ...
The Julian C. Stanley Study of Exceptional Talent (SET) is an outgrowth of the Study of Mathematically Precocious Youth (SMPY) at Johns Hopkins University.Founded in 1971 by Professor Julian Stanley, SMPY pioneered the concept of above-grade-level testing of middle school students, using the SAT to identify exceptionally talented mathematical reasoners, then offering rigorous academic programs ...
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In number theory, the Green–Tao theorem, proved by Ben Green and Terence Tao in 2004, states that the sequence of prime numbers contains arbitrarily long arithmetic progressions. In other words, for every natural number k {\displaystyle k} , there exist arithmetic progressions of primes with k {\displaystyle k} terms.