Results 31 to 40 of about 117,996 (268)

Elliptic curves from sextics

Journal of the Mathematical Society of Japan, 2002
A remark is added. (after replace mistake).
openaire   +3 more sources

An ECDLP-Based Verifiable Multi-Secret Sharing Scheme [PDF]

Mathematics Interdisciplinary Research, 2020
‎‎Secret sharing is an important issue in cryptography which has many applications‎. ‎In a secret sharing scheme‎, ‎a secret is shared by a dealer among several participants in such a way that any authorized subset of participants can recover the secret ...
Khadijeh Eslami, Mojtaba Bahramian
doaj   +1 more source

Triangles and elliptic curves, V

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1994
The author continues his work on elliptic curves associated to triangles as described in part I, ibid. 70, No. 4, 106-108; part II, ibid., No. 7, 223-225; and part III, ibid., No. 10, 311-314 (1994); see respectively Zbl 0824.14028 and 14029 and Zbl 0832.14021).
openaire   +11 more sources

Analysing the significance of small conformational changes and low occupancy states in serial crystallographic data

FEBS Open Bio, EarlyView.
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill, Yelyzaveta Pulnova, Elke De Zitter, Helen M. Ginn, Briony A. Yorke   +4 more
wiley   +1 more source

Amicable pairs and aliquot cycles for elliptic curves

, 2009
An amicable pair for an elliptic curve E/Q is a pair of primes (p,q) of good reduction for E satisfying #E(F_p) = q and #E(F_q) = p. In this paper we study elliptic amicable pairs and analogously defined longer elliptic aliquot cycles. We show that there
Baier [Baier and Zhao 08] S., Cojocaru [Cojocaru 05] A. C., Cojocaru [Cojocaru et al. 09] A. C., Friedlander [Friedlander and Shparlinski 09] J., García [García et al. 04] M., Ireland [Ireland and Rosen 90] K., Jiménez Urroz [Jiménez Urroz 08] J., Jones [Jones 09] N., Koblitz [Koblitz 88] N., Kowalski [Kowalski 06] E., Lang [Lang and Trotter 76] S., Lemmermeyer [Lemmermeyer 00] F., Murty [Murty and Murty 87] M. R., Olson [Olson 76] L. D., Olson [Olson 79] L. D., Rubin [Rubin and Silverberg 09] K., Rück [Rück 87] H.-G., Sakagawa [Sakagawa 08] H., Satoh [Satoh and Araki 98] T., Semaev [Semaev 98] I. A., Shimura [Shimura 94] G., Silverman [Silverman 09] J. H., Silverman [Silverman 94] J. H., Silverman [Silverman and Stange 11] J. H., Smart [Smart 99] N. P., Smyth [Smyth 10] C., Taylor [Taylor 08] R., te Riele [Te Riele 82] H. J. J., Waterhouse [Waterhouse 69] W. C., Yan [Yan 96] S. Y.   +29 more
core   +1 more source

Comprehensive Assessment of Arterial, Tissue, and Venous Collaterals for Evaluating the Infarct Growth Rate: The Multimodal Collateral Score

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Collaterals are crucial factors that influence the infarct growth rate (IGR). We aimed to determine whether a comprehensive multimodal collateral score (MCS), incorporating collateral assessment at the arterial, tissue, and venous levels, is associated with functional independence and provides incremental prognostic value over ...
Giorgio Busto, Umberto Pensato, Ilaria Casetta, Giorgio U. Marcello, Angelo Barra, Anna Poggesi, Edoardo Carlesi, Sara Mancini, Andrea Ginestroni, Vittorio Miele, Alessandro Padovani, Andrea Morotti, Enrico Fainardi   +12 more
wiley   +1 more source

A Feynman integral depending on two elliptic curves

Journal of High Energy Physics, 2022
We study a two-loop four-point function with one internal mass. This Feynman integral is one of the simplest Feynman integrals depending on two elliptic curves. We transform the associated differential equation into an ε-form. We study the entries of the
Hildegard Müller, Stefan Weinzierl
doaj   +1 more source

Prediction of Surface Topography Parameters in Direct Laser Interference Patterning of Stainless Steel Using Infrared Monitoring and Convolutional Neural Networks

Advanced Engineering Materials, EarlyView.
This study presents an infrared monitoring approach for direct laser interference patterning (DLIP) combined with a convolutional neural network (CNN). Thermal emission data captured during structuring are used to predict surface topography parameters.
Lukas Olawsky, Marcelo Sallese, Leander Kläber, Clemens Kuhn, Keming Du, Andrés Fabián Lasagni   +5 more
wiley   +1 more source

A Numerical–Experimental Approach for Multi‐Matrix Fiber‐Reinforced Plastics Characterization Using Finite Element Model Updating

Advanced Engineering Materials, EarlyView.
A numerical–experimental framework is developed for characterizing multi‐matrix fiber‐reinforced polymers (MM‐FRPs) combining epoxy and polyurethane matrices. Harmonic bending tests are integrated with finite element model updating (FEMU) to simultaneously identify elastic and viscoelastic material parameters.
Rodrigo M. Dartora, Tales V. Lisbôa, Axel Spickenheuer, Rogério J. Marczak, Jakson M. Vassoler   +4 more
wiley   +1 more source

Improved lower bound for Diffie–Hellman problem using multiplicative group of a finite field as auxiliary group

Journal of Mathematical Cryptology, 2018
In 2004, Muzereau, Smart and Vercauteren [A. Muzereau, N. P. Smart and F. Vercauteren, The equivalence between the DHP and DLP for elliptic curves used in practical applications, LMS J. Comput. Math. 7 2004, 50–72] showed how to use a reduction algorithm
Kushwaha Prabhat
doaj   +1 more source