Conformational analysis of nucleic acids revisited: Curves
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Drainage curves (plots of the non-wetting fluid saturation versus applied pressure) for infiltration of SiC particle preforms with Al and Al-12.2 at.% Si are measured at 1023 K (750 degrees C) with a pressure infiltration apparatus adapted for direct track ...
The Uniformization Theorem due to Koebe and Poincaré implies that every compact Riemann surface of genus greater or equal to 2 can be endowed with a metric of constant curvature – 1. On the other hand, a compact Riemann surface is a complex algebraic curve ...
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The security of several elliptic curve cryptosystems is based on the difficulty to compute the discrete logarithm problem. The motivation of using elliptic curves in cryptography is that there is no known sub-exponential algorithm which solves the Elliptic ...
We focus on a specific class of curves that can be parametrized using a finite number of variables in two dimensions. The corresponding indicator plane, which is a binary image, has infinite bandwidth and can not be sampled and perfectly reconstructed with ...
In this paper we show that the Ate pairing, originally defined for elliptic curves, generalises to hyperelliptic curves and in fact to arbitrary algebraic curves. It has the following surprising properties: The loop length in Miller’s algorithm can be up t ...
The invention relates to an additive which can be added to buffers used in nucleotide detection processes and improved methods of nucleic acid sequencing using this additive. In particular the invention relates to use of the additive to improve the efficie ...
In this paper, we present an original non-linear subdivision scheme suitable for univariate data, plane curves and discrete triangulated surfaces, while keeping the complexity acceptable. The proposed technique is compared to linear subdivision methods hav ...
The authors propose a numerical method for the uniformization of Riemann surfaces and algebraic curves in genus two with highly accurate results. Let G be a Fuchsian group acting on the unit disk BbbD, and let S=BbbD/G. It is well known that $S ...