Results 11 to 20 of about 124 (123)
Tubular approaches to Baker’s method for curves and varieties
, 2020 International audienceBaker's method, relying on estimates on linear forms in logarithms of algebraic numbers, allows one to prove in several situations the effective finiteness of integral points on varieties.
Le Fourn, Samuel
core +1 more source
Minorations simultanées de formes linéaires de logarithmes de nombres algébriques [PDF]
, 2014 40p.International audienceThis work falls within the theory of linear forms in logarithms over a commutative linear group defined over a number field. We give lower bounds for simultaneous linear forms in logarithms of algebraic numbers, treating both ...
Gaudron, Éric, Éric Gaudron
core +1 more source
Solving superelliptic Diophantine equations by Baker's method
, 1998 Article dans revue scientifique avec comité de lecture.We describe a method for complete solution of the superelliptic Diophantine equation ay^p=f(x). The method is based on Baker's theory of linear forms in the logarithms.
Bilu, Yuri F. +6 more
core +1 more source
On Two-parametric Quartic Families of Diophantine Problems
, 1998 Two-parametric quartic Thue equations are completely solved for sufficiently large values of the parameters. Exceptional units are computed in related quartic number fields. The method depends heavily on A.
Tichy, R.F., Pethö, A.
core +1 more source
Advanced Materials, EarlyView.This study demonstrates a self‐assembly process to generate free‐standing piezoelectric nanomembranes, forming ultracompact microtubular acoustic wave sensors and actuators. The miniaturized 3D piezoelectric platform reported in this work can be applied in telecommunication, energy harvesting, and acoustofluidics. Moreover, the 3D self‐assembly can add
Raphaël C. L‐M. Doineau +9 more
wiley +1 more source
The extension of the D(-k)-pair {k, k+1) to a quadruple
, 2022 Let n be a non-zero integer. A set of m positive integers {; ; ; a_1, a_2, ... , a_m}; ; ; is called a D(n)- m-tuple if a_ia_j + n is a perfect square for all 1 1, then d=1.
Fujita, Yasutsugu +2 more
core
Mechanically Programmable DNA Hydrogel Microparticles for 3D Cellular Systems
Advanced Materials, EarlyView.DNA hydrogel microparticles are designed to exhibit controllable viscoelasticity and stiffness across three orders of magnitude from 30Pa$30 \,\mathrm{Pa}$ to 6.5kPa$6.5 \,\mathrm{kPa}$. They are uptaken into fibroblast spheroids where they are actively remodeled by cellular forces depending on their mechanical properties.
Tobias Walther +9 more
wiley +1 more source
Mesure d'indépendance linéaire de logarithmes dans un groupe algébrique commutatif
, 2001 J'ai effectué ma thèse sous la direction scientifique de Sinnou David et Michel Waldschmidt.This thesis falls within the theory of linear forms in logarithms. It comprises two parts as well as three annexes.
Gaudron, Eric
core +2 more sources
Advanced Materials Technologies, EarlyView.This review explores advances in wearable and lab‐on‐chip technologies for breast cancer detection. Covering tactile, thermal, ultrasound, microwave, electrical impedance tomography, electrochemical, microelectromechanical, and optical systems, it highlights innovations in flexible electronics, nanomaterials, and machine learning.
Neshika Wijewardhane +4 more
wiley +1 more source
Advanced Materials Technologies, EarlyView.A mask‐free and cost‐effective UV‐pico‐second laser‐based microfabrication method is proposed to fabricate large‐area biodegradable microelectrode arrays and pressure sensors. These devices demonstrate low impedance, good conformability, excellent biocompatibility, and rapid degradation, providing a new route for next‐generation transient electronics ...
Bhavani Prasad Yalagala +5 more
wiley +1 more source