Results 51 to 60 of about 770,647 (275)

Generalized Geodesic Convexity on Riemannian Manifolds

Mathematics, 2019
We introduce log-preinvex and log-invex functions on a Riemannian manifold. Some properties and relationships of these functions are discussed. A characterization for the existence of a global minimum point of a mathematical programming problem is ...
Izhar Ahmad, Meraj Ali Khan, Amira A. Ishan   +2 more
doaj   +1 more source

A Variational Characterization of Reflexivity and Strict Convexity [PDF]

, 1999
In this paper we give a variational characterization of reflexivity and strict convexity which is related to James and Krein theorems in Geometry of Banach ...
Dragomir, Sever S
core   +5 more sources

Limits to the Hall Effect and Other Nonreciprocal Effects in Three‐Dimensional Metamaterials

Advanced Materials, EarlyView.
Comprehensive and fundamental bounds on nonreciprocal effects in three‐dimensional metamaterials are derived. They reveal that the effective Hall mobility cannot exceed the largest constituent mobility, that, under certain conditions, the Verdet constant cannot be enhanced, and that, for constituents with Hall coefficients of the same sign, the largest
Christian Kern, Graeme W. Milton
wiley   +1 more source

On Jensen-Related Inequalities for Various Types of Convexity via a Unified Approach

Axioms
The focus of this paper is on three types of convexity: generalized uniform convexity, Φ-convexity and superquadracity. The similar structures of these types of convexity are such that the same processes can be applied to each one of them to obtain ...
Shoshana Abramovich
doaj   +1 more source

Closed‐Loop Solid‐State Synthesis Planning for Materials Discovery With Large Language Models

Advanced Materials, EarlyView.
Leveraging literature data, we build a large‐language‐model‐driven workflow that extracts synthesis steps from 4407 papers, retrieves similar precedents, and generates candidate solid‐state synthesis recipes. The system benchmarks against ground‐truth and then operates in a closed loop with experiments to synthesize oxy‐selenide electrolyte materials ...
Dong Won Jeon, Dong Hwi Kim, Taeyang Jeon, Joo Yeong Na, Heegyu Kim, Hyunsouk Cho, Dae Soo Jung, Ju Li, Jin‐Sung Park, Sung Beom Cho   +9 more
wiley   +1 more source

New Approaches to Fractal–Fractional Bullen’s Inequalities Through Generalized Convexity

Fractal and Fractional
This paper introduces a new identity involving fractal–fractional integrals, which allow us to derive several new Bullen-type inequalities via generalized convexity.
Wedad Saleh, Hamid Boulares, Abdelkader Moumen, Hussien Albala, Badreddine Meftah   +4 more
doaj   +1 more source

Convex Optimization for Trajectory Generation

CoRR, 2021
Reliable and efficient trajectory generation methods are a fundamental need for autonomous dynamical systems of tomorrow. The goal of this article is to provide a comprehensive tutorial of three major convex optimization-based trajectory generation methods: lossless convexification (LCvx), and two sequential convex programming algorithms known as SCvx ...
Danylo Malyuta, Taylor P. Reynolds, Michael Szmuk, Thomas Lew, Riccardo Bonalli, Marco Pavone 0001, Behçet Açikmese   +6 more
openaire   +2 more sources

A Thermoreversible Gelation Pathway to Plant Cuticle‐Inspired Biopolymer Aerogel Monoliths Based on Network‐Spherulitic Crystal Assemblies

Advanced Materials, EarlyView.
To address functionality limitations in plant‐based and industrially compostable polymer aerogels, this work introduces bio‐inspired aerogels with broadened functionality. Inspired by functional plant tissues, lightweight biopolymer aerogels based on exclusively stereocomplex crystals are fabricated, featuring hierarchically macro‐/meso‐porous ...
Anthony V. Tuccitto, Zeineb Ben Rejeb, Rafaela Aguiar, Nello D. Sansone, Sumaiya Farzana, Isaac Ali, Jun Uk Lee, Daniel J. Davidson, Ailsa K. Edward, Chul B. Park, Patrick C. Lee   +10 more
wiley   +1 more source

Increasing Lipid Nanoparticle mRNA Copy Number Improves Transfection Potency

Advanced Materials, EarlyView.
As lipid nanoparticle (LNP) systems are the leading platform for in vivo nucleic acid delivery, improving transfection potency of these systems is of considerable interest. In this work, we explored a post‐mixing formulation method involving a two‐step buffer exchange that increased the number of mRNA copies within each LNP while reducing the number of
Yao Zhang, Jerry Leung, Judy Cheng, Arash Momeni, Albert Kamanzi, Ariadne Tuckmantel Bido, Suiyang Liao, Emma Kang, Colton Strong, Christian J. Kastrup, Sabrina Leslie, Miffy Hok Yan Cheng, Pieter R. Cullis   +12 more
wiley   +1 more source

Some Modulus and Normal Structure in Banach Space

Journal of Inequalities and Applications, 2009
We present some sufficient conditions for which a Banach space X has normal structure in terms of the modulus of U-convexity, modulus of W∗-convexity, and the coefficient R(1,X), which generalized some well-known results.
Zhanfei Zuo, Yunan Cui
doaj   +1 more source