منابع مشابه
Patterns in Eigenvalues: the 70th Josiah Willard Gibbs Lecture
Typical large unitary matrices show remarkable patterns in their eigenvalue distribution. These same patterns appear in telephone encryption, the zeros of Riemann’s zeta function, a variety of physics problems, and in the study of Toeplitz operators. This paper surveys these applications and what is currently known about the patterns.
متن کاملJosiah Willard Gibbs and the Extension of the Principles of Thermodynamics.
THE SCIENCE PRESS New York City: Grand Central Terminal. Lancaster, Pa. Garrison, N. Y. Annual Subscription, $6.oo. Single Copies, I5 Cts. SCIENCE Is the official organ of the American Association for the Advancement of Science. Information regarding membership in the Association may be secured from the office of the permanent secretary, in the Smithsonian Institution Building, Washington, D. C...
متن کاملRamifications, Old and New, of the Eigenvalue Problem
Since this is a lecture dedicated to the memory of Josiah Willard Gibbs let me start with that purely mathematical discovery which Gibbs contributed to the theory of Fourier series. Fourier series have to do with the eigenvalues and eigenfunctions of the oldest, simplest, and most important of all spectrum problems, that of the vibrating string. In preparing this lecture, the speaker has assume...
متن کاملThe papers of Josiah Bartlett
That the Western scientific and medical tradition is built on Greek foundations is well known: what is far less obvious is how and why Greek science arose and developed, and what distinguished it from its Egyptian and Babylonian contemporaries. In this'elegant book, Dr. Lloyd addresses himself to these difficult questions and points towards their solution. He examines again the role of magic an...
متن کاملWillard Thompson
Complexity theory has a profound influence on the field of cryptology. The time complexity of breaking a cipher system must be significant enough to thwart any adversary from succeeding. However, with the emergence of quantum computers an adversary may have no difficulty in breaking known cipher systems. If quantum computers would exist today new mechanisms for security would need to be built. ...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1924
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1924-03881-6