The Collected Works of J. Willard Gibbs. Two volumes

The Collected Works of

Collected Works

This paper provides empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves. The second of theseconjectures relates six quantities associated to a Jacobian over the rationalnumbers. One of these six quantities is the size of the Shafarevich-Tate group.Unable to compute that, we computed the five other quantities and solved for...

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.

Klein's Collected Works

Felix Klein: Gesammelte mathematische Abhandlungen. Vol. 1. Liniengeometrie, Grundlegung der Geometrie, Zum Erlanger Programm. Edited by R. Fricke and A. Ostrowski. Berlin, Julius Springer, 1921. xiii + 612 pages. Felix Klein, born at Düsseldorf, April 25,1849, was awarded the doctor's degree December 12, 1868, by the University of Bonn. The dissertation was directed and the examination conduct...

a case study of the two translators of the holy quran: tahereh saffarzadeh and laleh bakhtiar

بطورکلی، کتاب های مقدسی همچون قران کریم را خوانندگان میتوان مطابق با پیش زمینه های مختلفی که درند درک کنند. محقق تلاش کرده نقش پیش زمینه اجتماعی-فرهنگی را روی ایدئولوژی های مترجمین زن و در نتیجه تاثیراتش را روی خواندن و ترجمه آیات قرآن کریم بررسی کند و ببیند که آیا تفاوت های واژگانی عمده ای میان این مترجمین وجود دارد یا نه. به این منظور، ترجمه 24 آیه از آیات قرآن کریم مورد بررسی مقایسه ای قرار ...