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The index of singular zeros of harmonic mappings of anti-analytic degree one

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The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity

Bernard Dacorogna

Any finite, separately convex, positively homogeneous function on

\mathbb{R}^2

is convex. This was first established by the first author ["Direct methods in calculus of variations", Springer-Verlag (1989)]. Here we give a new and concise proof of this re ...

2008

The subconvexity problem for Rankin-Selberg $L$-functions and equidistribution of Heegner points. II

Philippe Michel

We prove a general subconvex bound in the level aspect for Rankin–Selberg L-functions associated with two primitive holomorphic or Maass cusp forms over Q. We use this bound to establish the equidistribution of incomplete Galois orbits of Heegner points on ...

2006

Exact Local Reconstruction Algorithms for Signals with Finite Rate of Innovation

Martin Vetterli, Thierry Blu, Pier Luigi Dragotti

Consider the problem of sampling signals which are not bandlimited, but still have a finite number of degrees of freedom per unit of time, such as, for example, piecewise polynomial or piecewise sinusoidal signals, and call the number of degrees of freedom ...

2006

The PROSITE database, its status in 2002

Philipp Bucher, Amos Bairoch

PROSITE [Bairoch and Bucher (1994) Nucleic Acids Res., 22, 3583-3589; Hofmann et al. (1999) Nucleic Acids Res., 27, 215-219] is a method of identifying the functions of uncharacterized proteins translated from genomic or cDNA sequences. The PROSITE databas ...

2002

Approximations for the Hantush M function

David Andrew Barry

A recent paper (Trefry, M.G., 1998. Analytical series expressions for Hanhrsh's M and S functions. Water Resour. Res. 34, 909-913) provided several interesting results concerning the Hantush M function, an integral that arises often in analytical solutions ...

1999

The evolution of 'bricolage'

Denis Duboule

The past ten years of developmental genetics have revealed that most of our genes are shared by other species throughout the animal kingdom. Consequently, animal diversity might largely rely on the differential use of the same components, either at the ind ...

1998

Embryonics: The Birth of Synthetic Life

Eduardo Sanchez, Daniel Mange

A novel architecture descending from the work of von Neumann, has been developed. This architecture borrows its main principles from living systems. Like living beings, the organisms considered here are able to autonomously develop, maintain their function ...

Springer-Verlag1996

Generalized Bessel Functions in Incommensurate Structure Analysis

Gervais Chapuis

The analysis of incommensurate structures is computationally more difficult than that of normal ones. This is mainly a result of the structure-factor expression, which involves numerical integrations or infinite series of Bessel functions. Both approaches ...

1994

Evaluating the contribution of system control to the reliability of the power system. II

For pt.I see ibid., p.162-9. This paper describes a hierarchical simulation model for the analysis of long term power system's behavior. The effects of centralized (functions of the control center) and decentralized (protection apparatus, generator speed g ...

1981

Optimization Notes

Sepand Kashani

While optimization is well studied for real-valued functions

f : \mathbb{R}^{N} \to \mathbb{R}

, many physical problems are (partially) specified in terms of complex-valued functions

f_{c} : \mathbb{C}^{N} \to \mathbb{C}^{M}

. Current optimization packa ...