Results 81 to 90 of about 166,043,066 (216)

Prime numbers in typical Continued Fraction Expansions

, 2022
We study, from the viewpoint of metrical number theory and (infinite) ergodic theory, the probabilistic laws governing the occurrence of prime numbers as digits in continued fraction expansions of real numbers.Comment: 16 ...
Schindler, Tanja I., Zweimüller, Roland
core  

Designing Vanadium‐Based Oxide Electrocatalysts for Water Splitting: Experimental and Mechanistic Insights with Machine Learning

Advanced Functional Materials, EarlyView.
This review establishes structure‐property‐mechanism relationships across six modification strategies for V‐based oxide water‐splitting electrocatalysts: lattice engineering, heteroatom doping, interface engineering, carbon‐based hybridization, morphology engineering, and surface reconstruction and pre‐catalyst design, where dissolution is reframed as ...
Youness El Issmaeli, Amina Lahrichi, Hoje Chun, Rafael Gómez‐Bombarelli, Bruno G. Pollet   +4 more
wiley   +1 more source

Elementary theory of numbers /

, 1988
Since the publication of the first edition of this work, considerable progress has been made in many of the questions examined. This edition has been updated and enlarged, and the bibliography has been revised. The variety of topics covered here includes
Schinzel, Andrzej., Sierpinski, Waclaw,1882-1969., Sierpinski, Waclaw,1882-1969.Teoria liczb.   +2 more
core  

PROBLEMS OF PRIME NUMBERS AND THE PRIME NUMBER CRITERION THEOREM

, 2013
The world scientific community considers a solution of the prime numbers problem and the Riemann Zeta Function Zeros closely connected with prime numbers to be the most significant problems of modern science.
Ushtenov, Esenbek, Mamaraimov, Mukhidin
core   +1 more source

Microfluidic Nano‐Assembly of Red‐Blood‐Cell (RBC) Lipids and Components for Engineering Extracellular Vesicles

Advanced Healthcare Materials, EarlyView.
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, Xilal Y. Rima, Kim T. Nguyen, Courtney Culkins, Nana Boateng, Jacob Doon‐Ralls, Alejandro Bresolin, Xin Huang, Hong Li, Vahedi Amid, Ajeet Pal Singh, Dharti Shantaram, Anastasiia Amari, Mangesh D. Hade, Nicholas R. Merriam, Zachary D. Schultz, Scott Q. Harper, Nizar Y. Saad, Setty M. Magaña, Willa A. Hsueh, Rachel E. Kopec, Blaise R. Kimmel, Andre F. Palmer, Eduardo Reátegui   +23 more
wiley   +1 more source

Even numbers are the sum of two prime numbers

, 2019
"Even numbers are the sum of two prime numbers." This is the description of Goldbach's conjecture, and in Canadian Gaye's book "unsolved problems in number theory", it is an open question to put forward a contrary conjecture that "even numbers are the ...
Xingyi, Jiang, Delong, Zhang, Songting, He, Zhou, Mi, Honwei, Shi   +4 more
core   +1 more source

Cellular Responses to Mechanical Cues Across Scales: From Fundamental Insights to Translational Potential

Advanced Healthcare Materials, EarlyView.
This review examines how cellular behavior is regulated by mechanical cues transmitted through soft biomaterials, from single‐cell mechanosensing to tissue‐level adaptation. It highlights why physiological relevance, rather than model complexity alone, is critical for translational mechanobiology and introduces a scoring framework linking material ...
Mathias Polz, Manuel P. Kainz, Niklas Haider, Theresa Rienmüller, Kerstin Lenk, Rupert Kargl, Michele Terzano, Gerhard Sommer, Gerhard A. Holzapfel, Julia Fuchs   +9 more
wiley   +1 more source

Tumor‐Targeted Hyaluronic Acid/Tannic Acid‐Engineered Oxygen Nanogenerators With IR780 Payloads Enable Dual‐Mode Glutathione Depletion and Effective Singlet Oxygen Generation for Melanoma Treatment

Advanced Healthcare Materials, EarlyView.
A hyaluronic acid/tannic acid‐engineered Prussian blue oxygen nanogenerator loaded with IR780 is developed to enhance melanoma phototherapy. By integrating tumor targeting, oxygen self‐supply, and dual‐mode glutathione depletion, the nanoplatform effectively overcomes hypoxia and antioxidant defenses, potentiating synergistic photothermal/photodynamic ...
Chai‐How Hsu, I‐Ju Liu, Hsiang‐Yun Chih, Tsai‐Ching Hsu, Ju‐An Liang, Chia‐Wei Kuo, Bor‐Show Tzang, Wen‐Hsuan Chiang   +7 more
wiley   +1 more source

Photovoltaic Stimulation of Mouse and Pig Retina With Pyrolytic Carbon Microelectrodes Integrated on High‐Density Silicon Solar Cell Arrays

Advanced Healthcare Materials, EarlyView.
In this study, we fabricate photovoltaic retinal implants with pyrolytic carbon electrodes and test their ability to stimulate mouse and pig retinas when illuminated with near‐infrared light. We find increased spiking activity in both animal models compared to spontaneous activity and TTX controls and analyze the spike amplitude, latency and frequency.
Akihiro Matsumoto, Pratik Kusumanchi, Jesper Guldsmed Madsen, Asbjørn Cortnum Jørgensen, Gisele Alves dos Reis Benatto, Sune Thorsteinsson, Peter Behrensdorff Poulsen, Keisuke Yonehara, Toke Bek, Stephan Sylvest Keller, Rasmus Schmidt Davidsen   +10 more
wiley   +1 more source