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The Lambert W function is defined to be the multivalued inverse of the function w 7â†’ we. It has many applications in pure and applied mathematics, some of which are briefly described here. We presentâ€¦ (More)

- Robert M. Corless, Gaston H. Gonnet, D. E. G. Hare, David J. Jeffrey, Donald E. Knuth
- Adv. Comput. Math.
- 1996

Two standard physics problems are solved in terms of the Lam bertW function, in order to show the applicability of this recently defined fu nction to physics. Other applications of the function areâ€¦ (More)

- Robert M. Corless, David J. Jeffrey, Stephen M. Watt, James H. Davenport
- ACM SIGSAM Bulletin
- 2000

This paper addresses the definitions in OpenMath of the elementary functions. The original OpenMath definitions, like most other sources, simply cite [2] as the definition. We show that this is notâ€¦ (More)

- Robert M. Corless, David J. Jeffrey
- ACM SIGSAM Bulletin
- 1996

From the Oxford English Dictionary we find that <i>to unwind</i> can mean "to become free from a convoluted state". Further down we find the quotation "The solution of all knots, and unwinding of allâ€¦ (More)

- David J. Jeffrey
- Revue scientifique et technique
- 1995

Active ingredients used in microbiocidal products in the European Union constitute some 250 chemical entities. Approximately 100 of these chemicals are commonly used in disinfectant products. Theâ€¦ (More)

- Robert M. Corless, David J. Jeffrey, Donald E. Knuth
- ISSAC
- 1997

WC give a uniform treatment of several series expansions for the Lambert Iirfurrction, leading toaninfinite family of new series. Wealsodisrxrss standardization, cornplexbranches,a family ofâ€¦ (More)

- Robert M. Corless, David J. Jeffrey
- ACM SIGSAM Bulletin
- 1997

The Turing factorization is a generalization of the standard LU factoring of a square matrix. Among other advantages, it allows us to meet demands that arise in a symbolic context. For a rectangularâ€¦ (More)

where deg g < deg f , deg h < deg f , deg f deg f and f is \small" with respect to the 2-norm of the vector of coe cients. In practice if kfk denotes the 2-norm of f , then we compute g and h suchâ€¦ (More)

- Wenqin Zhou, David J. Jeffrey
- Frontiers of Computer Science in China
- 2008

Gaussian elimination and LU factoring have been greatly studied from the algorithmic point of view, but much less from the point view of the best output format. In this paper, we give new outputâ€¦ (More)