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Table of Integrals, Series, and Products

I.S. Gradshteyn, +3 more
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The article was published on 2007-01-01 and is currently open access. It has received 4923 citations till now. The article focuses on the topics: Table (landform).

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Thermomechanical response of a viscoelastic beam under cyclic bending; self-heating and thermal failure

F. Dinzart, +2 more
- 01 Jan 2008 - 
TL;DR: In this paper, the thermomechanical response of beams made up of thermoplastic polymer is analyzed in the case of cyclic bending and the material behavior is modelled by a viscoelastic law depending on temperature and frequency.
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Compact smallest eigenvalue expressions in Wishart–Laguerre ensembles with or without a fixed trace

Gernot Akemann, +1 more
- 25 May 2011 - 
TL;DR: In this paper, the degree of entanglement of random pure states in bipartite quantum systems can be estimated from the distribution of the extreme Schmidt eigenvalues in a Wishart-Laguerre ensemble with a fixed-trace constraint.
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Ambipolar diffusion in molecular cloud cores and the gravomagneto catastrophe

Fred C. Adams, +1 more
- 10 Dec 2007 - 
TL;DR: In this paper, the authors reexamine the problem of ambipolar diffusion as a mechanism for the production and runaway evolution of centrally condensed molecular cloud cores, a process that has been termed the gravomagneto catastrophe.
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A Spectral reciprocity formula and non-vanishing for L-functions on GL(4)×GL(2)

Valentin Blomer, +2 more
- 01 Dec 2019 - 
TL;DR: In this article, the authors introduced a new summation formula for central values of GL ( 4 ) × GL ( 2 ) L-functions, when varied over Maas forms.
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Optimally scaled and optimally conditioned Vandermonde and Vandermonde-like matrices

Walter Gautschi
- 01 Mar 2011 - 
TL;DR: Numerically the extent to which the condition number of Vandermonde matrices can be reduced, either by row-scaling or by optimal configurations of nodes is investigated, finding empirically the condition of the optimally conditioned n×n VandermondE matrix to grow exponentially at a rate slightly less than $(1+\sqrt{2})^{n}$.