Results 121 to 130 of about 110,571 (317)

Elliptic Matrix Representations of Elliptic Biquaternions and Their Applications

International Electronic Journal of Geometry, 2018
Summary: In this study, we obtain the \(4 {\times} 4\) elliptic matrix representations of elliptic biquaternions with the aid of the left and right Hamilton operators. Afterwards, we show that the space of \(4 \times 4\) matrices generated by left Hamilton operator is isomorphic to the space of elliptic biquaternions. Then, we study the De-Moivre's and
ÖZEN, Kahraman Esen, TOSUN, Murat
openaire   +4 more sources

Dexime: A Selectively Enzyme‐Degradable Hydrogel for Protein Therapeutic Release

Advanced Materials, EarlyView.
A dextrin‐oxime hydrogel (dexime) is produced using ketone or aldehyde modified dextrin and tetra‐oxyamine modified poly(ethylene glycol). The rheological and mechanical properties of dexime are tunable. Dexime is injectable, cytocompatible, hydrolytically stable, and selectively degradable by α‐amylase.
Quinton E. A. Sirianni, Nitzan Letko Khait, Adam Forman, Edward A. Armstrong, Karim Fouad, Molly S. Shoichet   +5 more
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  

On the status of DELL systems

Nuclear Physics B
A detailed review of the p,q-duality for Calogero system and its generalizations is given. For the first time, we present some of elliptic-trigonometric Hamiltonians dual to the elliptic Ruijsenaars Hamiltonians (i.e.
A. Mironov, A. Morozov
doaj   +1 more source

Elliptic algebras

Russian Mathematical Surveys, 2002
The survey is devoted to associative $\Z_{\ge0}$-graded algebras presented by n generators and n(n-1)/2 quadratic relations and satisfying the so-called Poincare-Birkhoff-Witt condition (PBW-algebras). We consider examples of such algebras depending on two continuous parameters (namely, on an elliptic curve and a point on this curve) which are flat ...
openaire   +2 more sources

Unveiling Exsolution‐Induced Giant Electronic and Magnetic Property Changes in Non‐Stoichiometric Titanate Perovskite Thin Films

Advanced Materials, EarlyView.
A giant insulator to metal transition and emergent superparamagnetism are revealed by nanoparticle exsolution in non‐stoichiometric titanate perovskite thin films. By combining transport, synchrotron spectroscopy, and first‐principles calculations, this work reveals how defect reconfiguration and lattice reconstruction fundamentally reshape electronic ...
Sungil Kim, June Ho Lee, Yaolong Xing, Dongchang Kim, Haeseong Jeong, Mongjun Jeong, Manuel Valvidares, Stuart S. P. Parkin, Sang Ho Oh, Donghwa Lee, Hyojin Yoon, Hyeon Han   +11 more
wiley   +1 more source

Uniform estimates for positive solutions of a class of semilinear elliptic equations and related Liouville and one-dimensional symmetry results [PDF]

, 2013
We consider the semilinear elliptic equation $\Delta u = W'(u)$ with Dirichlet boundary conditions in a smooth, possibly unbounded, domain $\Omega \subset \mathbb{R}^n$. Under suitable assumptions on the potential $W$, including the double well potential
Sourdis, Christos
core  

Characterization of Elliptic Curve Traces under FR-reduction [PDF]

, 2001
Elliptic curve cryptosystems([19],[25]) are based on the elliptic curve discrete logarithm problem(ECDLP). If elliptic curve cryptosystems avoid FR-reduction([11],[17]) and anomalous elliptic curve over F_q ([34],[3],[36]), then with current knowledge we
Takano, Shunzo, Atsuko Miyaji, Shunzo Takano, Nakabayashi, Masaki, Masaki Nakabayashi, Miyaji, Atsuko   +5 more
core   +1 more source

Elliptic butterflies

Journal of Complexity
We study natural evaluation and interpolation problems for elliptic functions and prove that they allow a recursive treatment using a variant of classical butterflies first introduced by Gauss. We deduce the existence of straight-line programs with complexity scaling with $d\log(d)$ for these problems and present applications to finite field arithmetic,
Couveignes, Jean-Marc, Lercier, Reynald
openaire   +3 more sources

Second‐Harmonic Hyper‐Mie Optical Activity Enables Closed‐Loop Chiral Photochemistry

Advanced Materials, EarlyView.
Nonlinear chiral photochemistry is demonstrated in CdTe/CdO nanohelices, where circularly polarized infrared light both drives and tracks photo‐oxidation via second‐harmonic scattering. This closed‐loop process reveals real‐time structural evolution, including shell fracturing and core exposure, accompanied by a transition from hyper‐Mie to hyper ...
Hoyeon Choi, Kody Whisnant, Ben J. Olohan, E. Petronijevic, G. Dan Pantoș, Nicholas A. Kotov, Ventsislav K. Valev   +6 more
wiley   +1 more source