Results 71 to 80 of about 145,858 (328)

Mathieu equation and Elliptic curve

, 2011
We present a relation between the Mathieu equation and a particular elliptic curve. We find that the Floquet exponent of the Mathieu equation, for both $q>1$, can be obtained from the integral of a differential one form along the two homology cycles of ...
He, Wei, Miao, Yan-Gang
core   +1 more source

Prospects of Electric Field Control in Perpendicular Magnetic Tunnel Junctions and Emerging 2D Spintronics for Ultralow Energy Memory and Logic Devices

Advanced Functional Materials, EarlyView.
Electric control of magnetic tunnel junctions offers a path to drastically reduce the energy requirements of the device. Electric field control of magnetization can be realized in a multitude of ways. These mechanisms can be integrated into existing spintronic devices to further reduce the operational energy.
Will Echtenkamp, Brahmdutta Dixit, Yifei Yang, Deyuan Lyu, Thomas Peterson, Qi Jia, Yu‐Chia Chen, Jian‐Ping Wang   +7 more
wiley   +1 more source

Euler characteristics and elliptic curves [PDF]

Proceedings of the National Academy of Sciences, 1997
Let E be a modular elliptic curve over ℚ, without complex multiplication; let p be a prime number where E has good ordinary reduction; and let F ∞ be the field obtained by adjoining to ℚ all p -power ...
Coates, John, Howson, Susan
openaire   +3 more sources

Modulating Two‐Photon Absorption in a Pyrene‐Based MOF Series: An In‐Depth Investigation of Structure–Property Relationships

Advanced Functional Materials, EarlyView.
This study investigates H4TBAPy‐based metal–organic frameworks (MOFs) ‐ NU‐1000, NU‐901, SrTBAPy, and BaTBAPy ‐ for multiphoton absorption (MPA) performance. It observes topology‐dependent variations in the 2PA cross‐section, with BaTBAPy exhibiting the highest activity.
Simon N. Deger, Helmy Pacheco Hernandez, Yang Cui, Hongxing Hao, Vanessa Ramm, David C. Mayer, Khai‐Nghi Truong, Roland A. Fischer, Jürgen Hauer, Mariana Kozlowska, Alexander Pöthig   +10 more
wiley   +1 more source

ELLIPTIC-CURVE CRYPTOGRAPHY (ECC) AND ARGON2 ALGORITHM IN PHP USING OPENSSL AND SODIUM LIBRARIES

Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2020
This paper presents the elliptic-curve cryptography (ECC) and Argon2 algorithm in PHP using OpenSSL and Sodium cryptographic libraries. The vital part of this thesis presents an analysis of the efficiency of elliptic-curve cryptography (ECC) and the ...
Mariusz Duka
doaj   +1 more source

Modular forms and elliptic curves over the field of fifth roots of unity [PDF]

, 2010
Let F be the cyclotomic field of fifth roots of unity. We computationally investigate modularity of elliptic curves over F.Comment: Added appendix by Mark Watkins, who found an elliptic curve missing from our ...
Gunnells, Paul E., Hajir, Farshid, Yasaki, Dan   +2 more
core   +2 more sources

Formation of 2D Electron Gas at a Non‐Polar Perovskite Oxide Interface: SrHfO3/BaSnO3

Advanced Functional Materials, EarlyView.
Through experiments and Poisson‐Schrödinger simulations, 2D electron gas formed at the non‐polar SrHfO3/BaSnO3 interface is observed. A large conduction band offset enables modulation doping by the intrinsic deep donors in SrHfO3, resulting in carrier confinement in BaSnO3 without relying on interfacial polarization or termination‐layer engineering ...
Jongkyoung Ko, Oliver Bierwagen, Wonwoo Suh, Jeewon B. Choi, Celesta S. Chang, Kookrin Char   +5 more
wiley   +1 more source

Printing Nacre‐Mimetic MXene‐Based E‐Textile Devices for Sensing and Breathing‐Pattern Recognition Using Machine Learning

Advanced Functional Materials, EarlyView.
This study presents a Ti3C2Tx MXene/WPU nacre‐mimetic nanomaterial as a printable ink for direct‐write printing onto textiles‐based sensors. The resulting wearable device demonstrates high sensitivity, biocompatibility, and mechanical strength. Furthermore, NFC‐enabled humidity sensor produces time‐series data, which informs a machine learning ...
Lulu Xu, Wenqing Chen, Qian Li, Rohit Gupta, Biswajoy Bagchi, Laurence B. Lovat, Manish K. Tiwari   +6 more
wiley   +1 more source

Exploiting the Functionality of Cerium Oxide‐Modified Carbon Nanohorns Catalysts Toward Enhanced CO2 Reduction Performance

Advanced Functional Materials, EarlyView.
A cerium oxide‐carbon nanohybrid catalyst is synthesized via two distinct routes and is integrated into H‐type cells and gas diffusion layers (GDLs) to enhance electrochemical performance. Structural variations significantly affect performance, with the solvothermal sample exhibiting higher current densities.
Alessia Pollice, Michele Cacioppo, Miriam Marchi, Miriam Moro, Francesco Paolucci, Marcella Bonchio, Maurizio Prato, Giovanni Valenti, Michele Melchionna, Paolo Fornasiero   +9 more
wiley   +1 more source

Holomorphic anomaly equations and the Igusa cusp form conjecture

, 2018
Let $S$ be a K3 surface and let $E$ be an elliptic curve. We solve the reduced Gromov-Witten theory of the Calabi-Yau threefold $S \times E$ for all curve classes which are primitive in the K3 factor.
A Beauville, A Buryak, A Klemm, A Okounkov, A Okounkov, Aaron Pixton, C Faber, D Maulik, D Maulik, F Janda, F Janda, G Oberdieck, Georg Oberdieck, J Bryan, J Li, J Li, K Behrend, K Behrend, M Alim, M Bershadsky, M Eichler, M Kool, R Pandharipande, R Pandharipande, R Pandharipande, S Katz, T Graber, VA Gritsenko, Y Toda   +28 more
core   +1 more source