Results 81 to 90 of about 18,366,163 (311)

Introducing elliptic, an R Package for Elliptic and Modular Functions [PDF]

This paper introduces the elliptic package of R routines, for numerical calculation of elliptic and related functions. Elliptic functions furnish interesting and instructive examples of many ideas of complex analysis, and the package illustrates these ...
Robin K. S. Hankin
core  

Elliptic curves and factoring. [PDF]

, 2010
The Elliptic Curve Method (ECM) is a powerful and widely used algorithm for factorization which can be implemented with several different forms of elliptic curves. We will give some general background on the theory of elliptic curves and the ideas behind
NC DOCKS at The University of North Carolina at Greensboro, Rangel, Denise A.   +1 more
core  

Resource Efficiency of Hardware Extensions of a 4-issue VLIW Processor for Elliptic Curve Cryptography [PDF]

, 2010
Jungeblut T, Puttmann C, Dreesen R, et al. Resource Efficiency of Hardware Extensions of a 4-issue VLIW Processor for Elliptic Curve Cryptography. Advances in Radio Science.
M. Thies, Puttmann, Christoph, Kastens, Uwe, R. Dreesen, M. Porrmann, U. Rückert, T. Jungeblut, U. Kastens, Jungeblut, Thorsten ; https://orcid.org/, Dreesen, Ralf, Porrmann, Mario ; https://orcid.org/, C. Puttmann, Rückert, Ulrich, Thies, Michael, Porrmann, M., Thies, M., Dreesen, R., Kastens, U., Rückert, U., Jungeblut, Thorsten, Puttmann, C.   +20 more
core   +2 more sources

An Overlooked Transport Mechanism in Organic Mixed Conductors

Advanced Functional Materials, EarlyView.
Electrical transport in organic mixed ionic‐electronic conductors is commonly described by ionic and electronic conduction. Here, eumelanin reveals that polarization‐assisted displacement currents constitute an additional transport component that coexists with conductive transport.
Natan L. Nozella, Victor Lopez‐Richard, Luiz A. Meneghetti Jr., Gabriel L. Nogueira, João V. Paulin, Carlos F. O. Graeff   +5 more
wiley   +1 more source

Nonzero and positive solutions of a superlinear elliptic system [PDF]

, 2001
summary:In this paper we consider the existence of nonzero solutions of an undecoupling elliptic system with zero Dirichlet condition. We use Leray-Schauder Degree Theory and arguments of Measure Theory.
Zuluaga, Mario
core   +1 more source

Existence of infinitely many solutions for logarithmic double-phase systems with Dirichlet conditions

Demonstratio Mathematica
This paper investigates a Dirichlet problem for a system of logarithmic double-phase equations with variable exponents. The system is given by−div|∇u|α1(τ)−2∇u+μ(τ)log(e+|∇u|)+|∇u|β1(τ)(e+|∇u|)|∇u|β1(τ)−2∇u=h1(u,v) in D,−div|∇v|α2(τ)−2∇v+μ(τ)log(e+|∇v|)+|
Ahmed Ahmed, Bouh Elemine Vall Mohamed Saad, Kefi Khaled   +2 more
doaj   +1 more source

An approximation theorem for solutions of degenerate semilinear elliptic equations [PDF]

, 2017
The main result establishes that a weak solution of degenerate semilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate semilinear elliptic equations.
Albo Carlos Cavalheiro, Cavalheiro, Albo Carlos   +1 more
core   +2 more sources

Modeling Early Metastatic Progression in Breast Cancer Using a Barrier‐Free, Perfusable Spheroid‐on‐a‐Chip Platform

Advanced Healthcare Materials, EarlyView.
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, Claudia Olaizola‐Rodrigo, Clara Bayona, Teodora Ranđelović, Rosa Monge, Estela Solanas, Sara Oliván, Ignacio Ochoa   +7 more
wiley   +1 more source

Multi-dimensional Morse Index Theorems and a symplectic view of elliptic boundary value problems [PDF]

, 2011
Morse Index Theorems for elliptic boundary value problems in multi-dimensions are proved under various boundary conditions. The theorems work for star-shaped domains and are based on a new idea of measuring the "oscillation" of the trace of the set of ...
Deng, Jian, Jones, C. K. R. T. (Christopher K. R. T.)   +1 more
core   +1 more source

Bioprinted Stiffness‑Tunable Pancreatic Microniches to Decode Early Tumor Initiation Mechanisms

Advanced Healthcare Materials, EarlyView.
Stiffness‐tunable GelMA microniches generated by microvalve bioprinting preserve wild‐type acinar identity while revealing a nonlinear, Kras‐dependent response to matrix mechanics. Intermediate stiffness promotes acinar‐to‐ductal metaplasia and proliferation, defining a permissive mechanical window.
Aurelien Mazet, Charles Handschin, Theo Desigaux, Nathalie Dusserre, Marie‐Laure Stachowicz, Shane Fennell, Malou Lea, Silvia Arcucci, Benoît Thibault, Jean‐Christophe Fricain, Julie Guillermet‐Guibert, Hugo Oliveira   +11 more
wiley   +1 more source