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pro vyhledávání: '"Hales, Thomas"'
Autor:
Hales, Thomas, Vajjha, Koundinya
This book uses optimal control theory to prove that the most unpackable centrally symmetric convex disk in the plane is a smoothed polygon. A smoothed polygon is a polygon whose corners have been rounded in a special way by arcs of hyperbolas. To be
Externí odkaz:
http://arxiv.org/abs/2405.04331
Autor:
Hales, Thomas
In 1911, Alfred North Whitehead published a short book "Introduction to Mathematics" (IM) intended for students wanting an explanation of the fundamental ideas of mathematics. Whitehead's IM has enduring value because it was written not long after he
Externí odkaz:
http://arxiv.org/abs/2403.19675
Autor:
Hales, Thomas
The Kepler conjecture asserts that no packing of congruent balls in three-dimensional Euclidean space has density greater than that of the face-centered cubic packing. In 1998, Sam Ferguson and I announced a computer-assisted proof of this conjecture
Externí odkaz:
http://arxiv.org/abs/2402.08032
Autor:
Hales, Thomas
Robert A. Millikan (1868-1953) was the second American to win the Nobel Prize in physics. At the peak of his influence, no scientist save Einstein was more admired by the American public. Millikan, the head of the California Institute of Technology (
Externí odkaz:
http://arxiv.org/abs/2309.13468
Autor:
Hales, Thomas, Raya, Rodrigo
This article gives an elementary computational proof of the group law for Edwards elliptic curves. The associative law is expressed as a polynomial identity over the integers that is directly checked by polynomial division. Unlike other proofs, no pr
Externí odkaz:
http://arxiv.org/abs/2004.12030
Autor:
Hales, Thomas
This article gives some memories of Thomas Hales of his years at Princeton as a graduate student under Robert Langlands. It has been prepared for the book "The Genesis of Langlands' Program," edited by Dr. Julia Mueller and Dr. Freydoon Shahidi.
Externí odkaz:
http://arxiv.org/abs/1906.11358
Akademický článek
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Autor:
Hales, Thomas
Walter Richard Talbot was the fourth African American to earn a PhD in Mathematics. His doctoral degree is from the University of Pittsburgh in 1934 in geometric group theory. A contemporary research program was the determination of fundamental domai
Externí odkaz:
http://arxiv.org/abs/1805.06890