Results 71 to 80 of about 890,810 (300)
On the property of divisibility points of elliptic curves over finite fields on two
In the article it is proved a theorem on the determination of the divisibility properties of the elliptic curve, improved algorithms for finding the order of the elliptic curve.
Michail Grigorievich Babenko +2 more
doaj
A graphene‐supported 2D metal–organic network stabilizes highly reactive Fe(I)‐N4 single sites through Co‐induced charge redistribution. Combined experiments and theory reveal Fe(I) formation, oxygen‐driven oxidation, and O2 activation mechanisms, offering a strategy to access low‐valent iron centers relevant to catalytic and biological processes ...
Alessandro Namar +9 more
wiley +1 more source
Versatile guanosine‐quadruplex (GQ) hydrogels are developed as dynamic biomatrices for cell culture. These scaffolds are fabricated under mild aqueous conditions, present improved stability, tunable mechanical properties within physiological ranges; fibrillar, porous microstructure, ion conductivity, and cytocompatibility.
Neha Thakur +10 more
wiley +1 more source
Phase transitions are central for the assembly of recombinant silk proteins into fibers. Soluble protein can transition into condensed states such as condensates and gels. These states are metastable and evolve in a time‐dependent way. Metastability depends on the protein sequence, and this relationship can be used to enhance the mechanical properties ...
Fred‐Eric Sammalisto +5 more
wiley +1 more source
Multiplication polynomials and relative Manin-Mumford [PDF]
After the introduction we prove in chapter 2 that the resultant of the standard multiplication polynomials $A_n,B_n$ of an elliptic curve in the form $y^2 = x^3+ax+b$ is $(16\Delta)^{{n^2(n^2-1) \over 6}}$, where $\Delta=-(4a^3+27b^2)$ is the ...
Schmidt, Harry
core +1 more source
Classification of Elements in Elliptic Curve Over the Ring 𝔽q[ɛ]
Let 𝔽q[ɛ] := 𝔽q [X]/(X4 − X3) be a finite quotient ring where ɛ4 = ɛ3, with 𝔽q is a finite field of order q such that q is a power of a prime number p greater than or equal to 5.
Selikh Bilel +2 more
doaj +1 more source
Exceptional Electro‐Optic Coefficient Unlocked via Polarization Swaying in KNbO3 Thin Films
We present the largest reported electro‐optic response in any material to date, guided by a new design principle that exploits ultralow coercive field polarization swaying enabled by low‐symmetry ferroelectric phases in monoclinic KNbO3 thin films for energy‐efficient classical and quantum photonic integrated circuits. ABSTRACT The electro‐optic effect
Sankalpa Hazra +11 more
wiley +1 more source
On p-degree of elliptic curves [PDF]
In this note, we investigate the [Formula: see text]-degree function of an elliptic curve [Formula: see text]. The [Formula: see text]-degree measures the least complexity of a non-zero [Formula: see text]-torsion point on [Formula: see text]. We prove some properties of this function and compute it explicitly in some special cases.
openaire +2 more sources
Engineered red blood cell‐derived extracellular vesicles (eRBCEVs) are synthesized via controlled microfluidic assembly from native RBC lipids, enabling tunable encapsulation of proteins, nucleic acids, nanoparticles, and viral vectors. The platform demonstrates reproducible nanoscale architecture, preserved membrane composition, and functional cargo ...
Chiranth K. Nagaraj +23 more
wiley +1 more source
Open‐port, barrier‐free microfluidic device for modeling early metastatic progression. A centrally positioned tumor spheroid releases invasive cells that migrate through the surrounding matrix and intravasate into endothelialized lateral channels.
Vira Sharko +7 more
wiley +1 more source

