Results 41 to 50 of about 15,705,034 (244)
On Efficient Pairings on Elliptic Curves over Extension Fields [PDF]
, 2012 In implementation of elliptic curve cryptography, three kinds of finite fields have been widely studied, i.e. prime field, binary field and optimal extension field.
Kunpeng Wang, Xusheng Zhang, Dongdai Lin
core +2 more sources
Isogenies of elliptic curves over function fields
, 2022 International audienceWe prove two theorems concerning isogenies of elliptic curves over function fields. The first one describes the variation of the height of the j-invariant in an isogeny class.
Pazuki, Fabien, Griffon, Richard
core +1 more source
Advanced Functional Materials, EarlyView.Ferroelectric nanoclusters create local internal fields in a normally non‐switchable polar film because of polarization mismatch at their interfaces. That field opposes polarization in the regions with larger polarization and reinforces polarization in the regions with smaller polarization.
Anna N. Morozovska +5 more
wiley +1 more source
Engineered Nanotopography to Modulate Growth and Signaling of Neuronal Networks
Advanced Functional Materials, EarlyView.This study examines the interaction between neurons and nanoscale topographies on engineered substrates. Neurons cultured on nanowires, nanopillars and nanoneedles exhibit enhanced neurite outgrowth, form more organized neuronal circuits, and display improved synaptic connectivity, compared to flat substrates.
Hao Nguyen Tran +8 more
wiley +1 more source
Ranks of Elliptic Curves with Prescribed Torsion over Number Fields [PDF]
, 2014 We study the structure of Mordell–Weil groups of elliptic curves over number fields of degrees 2, 3, and 4. We show that if T is a group, then either the class of all elliptic curves over quadratic fields with torsion subgroup T is empty or it contains ...
Bruin, Peter +7 more
core +1 more source
Advanced Functional Materials, EarlyView.Melanin content directly controls fungal spore mechanical properties, with pigmented spores achieving rupture forces two orders of magnitude higher than hyaline spores. Environmental stress drives this quantity‐quality tradeoff; stressed species invest energy in melanin‐reinforced, mechanically superior thick‐walled, super‐hydrophobic spores, while ...
Atul Agrawal, Steven E. Naleway
wiley +1 more source
Elliptic Curves with Complex Multiplication [PDF]
, 2022 openAn elliptic curve has complex multiplication if its ring of endomorphisms is stricly larger than $\mathbb{Z}$, in this case special simmetry arises from the additional structure.
MARCHESINI, LUCA
core
Bioinspired Hydrogels with Broadly Programmable Mechanics for Soft‐Tissue Interfaces
Advanced Functional Materials, EarlyView.Sea cucumber‐inspired gelatin hydrogels are formed by directional freezing and mechanically programmed through subsequent ionic treatment. Multiscale characterization and modeling link ion‐regulated chain interactions to directional load transfer within the aligned hierarchical architecture.
Youchao Teng +20 more
wiley +1 more source
Iwasawa theory for modular forms at supersingular primes [PDF]
, 2010 Let f=\sum a_nq^n be a normalised eigen-newform of weight k\ge2 and p an odd prime which does not divide the level of f. We study a reformulation of Kato's main conjecture for f over the Zp-cyclotomic extension of Q.
Antonio Lei
core +2 more sources
Advanced Functional Materials, EarlyView.Printed negative‐dielectric‐anisotropy liquid‐crystal droplets enable multidimensional full‐vectorial optical‐field sensing across polarization, phase, and wavelength, while also generating tunable skyrmionic‐like complex optical fields. ABSTRACT Adaptive manipulation of vectorial optical fields is important for optical metrology, imaging, and ...
Jinge Guo +14 more
wiley +1 more source