Sustainable Value: How the World's Leading Companies are Doing Well by Doing Good, by Chris Laszlo. Stanford, CA, Stanford University Press, 2008. 208pp. ISBN: 978-1-906093-06-8
Sustainable Value: How the World's Leading Companies are Doing Well by Doing Good, by Chris Laszlo. Stanford, CA, Stanford University Press, 2008. 208pp. ISBN: 978-1-906093-06-8
Advances in the theory of box integrals (2009)
Bailey, David H., Borwein, Jonathan M., Crandall, Richard E.
Box integrals, being expectations such as $\langle |\vec r|^s \rangle$ or $\langle |\vec r - \vec q|^s \rangle$ with $\vec r, \vec q$ chosen randomly over the unit $n$-cube, have over the years been...
Hypergeometric Forms for Ising-Class Integrals (2008)
Bailey, David H., Borwein, David, Borwein, Jonathan M., Crandall, Richard E.
We apply experimental-mathematical principles to analyze certain integrals relevant to the Ising theory of solid-state physics. We find representations of the these integrals in terms of Meijer...
Jonathan M. Borwein, Richard E. Crandall, Carl Pomerance, D. H. Bailey
Résumé. En combinant des concepts de théorie additive des nombres avec des résultats sur les développements binaires et les séries partielles, nous établissons de nouvelles bornes pour la...
Preface v Selected numerical algorithms Variants of the Newton method 1
Resolution of the Quinn-Rand-Strogatz constant of nonlinear physics (2007)
Bailey, David H., Borwein, Jonathan M., Crandall, Richard E.
Herein we develop connections between zeta functions and some recent ``mysterious" constants of nonlinear physics. In an important analysis of coupled Winfree oscillators, Quinn, Rand, and Strogatz...
Resolution of the Quinn-Rand-Strogatz constant of nonlinear physics (2007)
Bailey, David H., Borwein, Jonathan M., Crandall, Richard E.
Herein we develop connections between zeta functions and some recent ``mysterious" constants of nonlinear physics. In an important analysis of coupled Winfree oscillators, Quinn, Rand, and Strogatz...
Integrals of the Ising Class (2006)
Bailey, David H., Borwein, Jonathan M., Crandall, Richard E.
From an experimental-mathematical perspective we analyze "Ising-class" integrals. Our experimental results involved extreme-precision, multidimensional quadrature on intricate integrands; thus,...
Bailey, David H., Borwein, Jonathan M., Crandall, Richard E.
By a "box integral" we mean here an expectation $\langle |\vec r - \vec q|^s \rangle$ where $\vec r$runs over the unit $n$-cube, with $\vec q$ and $s$ fixed, explicitly:\begin eqnarray* &&\int_01...
On the binary expansions of algebraic numbers (2004)
Bailey, David H., Borwein, Jonathan M., Crandall, Richard E., Pomerance, Carl
On the binary expansions of algebraic numbers (2003)
Bailey, David H., Borwein, Jonathan M., Crandall, Richard E., Pomerance, Carl
Employing concepts from additive number theory, together with results on binary evaluations and partial series, we establish bounds on the density of 1's in the binary expansions of real algebraic...
Random Generators and Normal Numbers (2003)
David H. Bailey, Richard E. Crandall
Pursuant to the authors' previous chaotic-dynamical model for random digits of fundamental constants [5], we investigate a complementary, statistical picture in which pseudorandom number...
Random Generators and Normal Numbers (2002)
Bailey, David H., Crandall, Richard E.
Pursuant to the authors' previous chaotic-dynamical model for random digits of fundamental constants, we investigate a complementary, statistical picture in which pseudorandom number generators...
On the Random Character of Fundamental Constant Expansions (2001)
Bailey, David H., Crandall, Richard E.
We propose a theory to explain random behavior for the digits in the expansions of fundamental mathematical constants. At the core of our approach is a general hypothesis concerning the distribution...
New representations for the Madelung constant (1999)
From a modern theta-function identity of G. E. Andrews we derive new representations for the celebrated Madelung constant and various of its analytic relatives. The method leads to connections with...
Computational Strategies for the Riemann Zeta Function (1999)
Jonathan Borwein, David M. Bradley, Richard E. Crandall
. We provide a compendium of evaluation methods for the Riemann zeta function, presenting formulae ranging from historical attempts to recently found convergent series to curious oddities old and...
Fast evaluation of multiple zeta sums (1998)
Abstract. We show that the multiple zeta sum: ζ(s1,s2,..., sd) = 1
Two new factors of Fermat numbers (1997)
Brent, Richard P., Crandall, Richard E., Dilcher, Karl
We report the discovery of new 27-decimal digit factors of the thirteenth and sixteenth Fermat numbers. Each of the new factors was found by the elliptic curve method. After division by the new...
Two new factors of Fermat numbers (1997)
Brent, Richard P., Crandall, Richard E., Dilcher, Karl
We report the discovery of new 27-decimal digit factors of the thirteenth and sixteenth Fermat numbers. Each of the new factors was found by the elliptic curve method. After division by the new...
Two new factors of Fermat numbers (1997)
Brent, Richard P., Crandall, Richard E., Dilcher, Karl
We report the discovery of new 27-decimal digit factors of the thirteenth and sixteenth Fermat numbers. Each of the new factors was found by the elliptic curve method. After division by the new...
Two new factors of Fermat numbers (1997)
Brent, Richard P., Crandall, Richard E., Dilcher, Karl
We report the discovery of new 27-decimal digit factors of the thirteenth and sixteenth Fermat numbers. Each of the new factors was found by the elliptic curve method. After division by the new...
Two New Factors of Fermat Numbers (1997)
Richard P. Brent, Richard E. Crandall, Karl Dilcher, R. P. Brent, R. E. Crandall, K. Dilcher
. We report the discovery of new 27-decimal digit factors of the thirteenth and sixteenth Fermat numbers. Each of the new factors was found by the elliptic curve method. After division by the new...
On the Khintchine Constant (1997)
David Bailey, Jonathan M. Borwein, Richard E. Crandall
We present rapidly converging series for the Khintchine constant and for general "Khintchine means" of continued fractions. We show that each of these constants can be cast in terms of an...
On the Khintchine Constant (1997)
David H. Bailey, Jonathan M. Borwein, Richard E. Crandall
We present rapidly converging series for the Khintchine constant and for general "Khintchine means" of continued fractions. We show that each of these constants can be cast in terms of an...
Two new factors of Fermat numbers (1997)
Brent, Richard P., Crandall, Richard E., Dilcher, Karl
We report the discovery of new 27-decimal digit factors of the thirteenth and sixteenth Fermat numbers. Each of the new factors was found by the elliptic curve method. After division by the new...
The twenty-second Fermat number is composite (1995)
Richard E. Crandall, Ernst W. Mayer, S. Papadopoulos
Abstract. We have shown by machine proof that F24 =2224 +1iscomposite. The rigorous Pépin primality test was performed using independently developed programs running simultaneously on two different,...
On the evaluation of Euler sums (1994)
Crandall, Richard E., Buhler, Joe P.
Euler studied double sums of the form $$ \z(r,s)=\sum_{1\le m
Demand management :--today's challenge for service industries /--by Richard E. Crandall. (1993)
Typescript.
GELYSIS: Pascal-implemented analysis of one-dimensional eleclrophoresis gels (1984)
Russell, Peter J., Crandall, Richard E., Feinbaum, Rhonda
GELYSIS (GEL analYSIS) is a Pascal implementation of an algorithm that takes data on the distances migrated by DNA fragments in a one-dimension elec-trophoretic gel and calculates the sizes of the...