Results 21 to 30 of about 16,319,095 (224)
Elliptic Curves Over Finite Fields [PDF]
This thesis provides a self-contained introduction to elliptic curves accessible to advanced undergraduates and graduate students in mathematics, with emphasis on the the theory of elliptic curves over finite fields.
Balagopalan, Sonia
core +2 more sources
Isogenies of elliptic curves over function fields
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 +3 more
core +1 more source
Molecular characterization of covRS mutations in M1UK Streptococcus pyogenes
Group A Streptococcus (GAS) acquires covRS mutations driving a hypervirulent bacterial state, frequently associated with invasive disease‐like necrotizing fasciitis. We demonstrate that the newly emerged M1UK GAS lineage can also acquire these mutations.
Jarrad Pritchard +12 more
wiley +1 more source
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 +4 more
wiley +1 more source
First and second $K$-groups of an elliptic curve over a global field of positive characteristic
In this paper, we show that the maximal divisible subgroup of groups $K_1$ and $K_2$ of an elliptic curve $E$ over a function field is uniquely divisible. Further those $K$-groups modulo this uniquely divisible subgroup are explicitly computed. We also calculate the motivic cohomology groups of the minimal regular model of $E$, which is an elliptic ...
Kondo, Satoshi, Yasuda, Seidai
openaire +3 more sources
K(_2) and L-series of elliptic curves over real quadratic fields [PDF]
This thesis examines the relationship between the L-series of an elliptic curve evaluated at s = 2 and the image of the regulator map when the curve is defined over a real quadratic field with narrow class number one, thus providing numerical evidence ...
Young, Michael Alexander, Young, M.A
core
Adaptive Foam 3D Printing of Ultralight and Multifunctional Materials
Adaptive foam 3D printing, enabled by expandable microspheres, imparts cellular structures to thermoplastic and thermosetting polymers, manufactured through a variety of processes including fused filament fabrication, direct ink writing, digital light processing, and inkjet printing.
Nariman Rajabifar, Amir Ameli
wiley +1 more source
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
Isomorphisms of Elliptic Curves over Extensions of Finite Fields [PDF]
Our main interest lies in exploring isomorphisms of elliptic curves. In particular, we focus on two curves defined over a base field and look at which extension fields the curves are isomorphic over.
Niemerg, Mathew
core +1 more source
Bioinspired Hydrogels with Broadly Programmable Mechanics for Soft‐Tissue Interfaces
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

