Results 161 to 170 of about 1,306 (257)

On a surprising fact in extremal set theory

Journal of Combinatorial Theory, Series A, 1980
openaire   +1 more source

Extremal graph theory and point configurations in Ahlfors-David regular sets

We study the problem of embedding bipartite graphs in Ahlfors-David regular sets of large dimension using results from extremal graph theory. Our main theorem states that any graph satisfying a power-improving bound on the extremal number can be found in the distance graph of a sufficiently high-dimensional AD-regular set.
openaire   +2 more sources

Ultrasmall High‐Entropy Materials: Nanoscale Effects, Synthesis, and Mechanistic Insights

Advanced Functional Materials, EarlyView.
This review article focuses on sub‐10 nm high‐entropy materials that combine nanoscale design with complex compositions for next‐generation applications. ABSTRACT Ultrasmall high‐entropy nanomaterials (USHENMs, <10 nm) merge multicomponent chemistry with size‐dependent effects, forming a distinct class of materials with unprecedented properties.
Yueyue He, Wenbo Wang, Simon Schweidler, Yanjiao Ma, Ben Breitung, Torsten Brezesinski   +5 more
wiley   +1 more source

CHAPTER 2 ERGODIC THEORY ON COMPACT METRIC SPACES

, 2007
Introduction. We discuss equilibria, namely measures on which supremum is attained. This Chapter provides an introduction to the theory called thermodynamical formalism, which will be the main technical tool in this book.
Ergodic Theory On
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Twin Crystal Moiré Metasurfaces for Crossing Flat‐Band Transport

Advanced Functional Materials, EarlyView.
This study introduces twin crystal moiré metasurfaces, breaking in‐plane symmetry to enable reconfigurable acoustic wave manipulation. By adjusting the twin angle and interlayer twist angle, various combinations of hyperbolic, flat bands, and elliptic states can be synthesized in the system.
Shida Fan, Chenglin Han, Kuan He, Chadi Ellouzi, Yunlong Wang, Li‐Qun Chen, Jie Sun, Zhaodong Xu, Chen Shen, Tianzhi Yang   +9 more
wiley   +1 more source

Controlled Engineering of 2D Alkali‐Iron‐Chloride Compounds and Lateral Quantum Heterostructures Within Confined Graphene Nanoreactors

Advanced Functional Materials, EarlyView.
This work presents a programmable atomic engineering strategy for 2D materials using Å‐scale nanoreactors formed by bilayer graphene (BLG) intercalation. A new class of alkali‐iron‐chloride compounds, along with lateral heterostructures composed of monolayer alkali halides and iron chlorides, is revealed.
Haiming Sun, Qiunan Liu, Yung‐Chang Lin, Mahdi Ghorbani‐Asl, Hiroki Ago, Arkady V. Krasheninnikov, Kazu Suenaga   +6 more
wiley   +1 more source

Polynomial growth of concept lattices, canonical bases and generators:: extremal set theory in Formal Concept Analysis

, 2017
We prove that there exist three distinct, comprehensive classes of (formal) contexts with polynomially many concepts. Namely: contexts which are nowhere dense, of bounded breadth or highly convex. Already present in G. Birkhoff's classic monograph is the
Junqueira Hadura Albano, Alexandre Luiz
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Aqueous Two‐Phase Bioinks for Discrete Packing and Compartmentalization of 3D Bioprinted Cells

Advanced Healthcare Materials, EarlyView.
Aqueous two‐phase systems (ATPS) enable the formation of biomimetic interfaces crucial for tissue engineering. However, clinical translation remains limited by the challenge of precisely controlling cellular compartmentalization. Here, we developed ATPS biomaterial inks for 3D bioprinting allowing tuneable droplet formation via NaCl modulation.
Martina Marcotulli, Arianna Iacomino, Federico Serpe, Lucia Iafrate, Marco Bastioli, Giorgia Montalbano, Michele D'Orazio, Biagio Palmisano, Silvia Franco, Arianna Mencattini, Roberta Angelini, Eugenio Martinelli, Alessandro Corsi, Mara Riminucci, Giancarlo Ruocco, Chiara Scognamiglio, Andrea Barbetta, Gianluca Cidonio   +17 more
wiley   +1 more source

Engineering of Glioblastoma‐Derived Biomimetic Vesicles and Their Structural and Molecular Features

Advanced Healthcare Materials, EarlyView.
ABSTRACT Biomimetic nanosystems and vesicles have arisen as a novel approach to design vesicular transport systems with diverse therapeutic potential. The ‘biomimetic’ strategy involves the integration of cell membrane components into lipid bilayers, conferring them with biological properties originating from the cell of origin. Until now, most studies
Noelia Hernández‐Lobato, Hanan Abumanhal‐Masarweh, Martí de Cabo, Pablo Guerra, Marilena Hadjidemetriou, Neus Lozano, Kostas Kostarelos   +6 more
wiley   +1 more source

Problems in extremal graph theory

, 2010
We consider a variety of problems in extremal graph and set theory. The {\em chromatic number} of $G$, $\chi(G)$, is the smallest integer $k$ such that $G$ is $k$-colorable.
Ozkahya, Lale
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