Results 81 to 90 of about 1,007,644 (283)

Mathematical Proof and Discovery Reductio ad Absurdum

Informal Logic, 2008
The uses and interpretation of reductio ad absurdum argumentation in mathematical proof and discovery are examined, illustrated with elementary and progressively sophisticated examples, and explained.
Dale Jacquette
doaj   +1 more source

A simple criterion of transverse linear instability for solitary waves

, 2010
We prove an abstract instability result for an eigenvalue problem with parameter. We apply this criterion to show the transverse linear instability of solitary waves on various examples from mathematical physics.Comment: The main result has been improved
Rousset, F., Tzvetkov, N.
core   +3 more sources

Neuromorphic Electronics for Intelligence Everywhere: Emerging Devices, Flexible Platforms, and Scalable System Architectures

Advanced Materials, EarlyView.
The perspective presents an integrated view of neuromorphic technologies, from device physics to real‐time applicability, while highlighting the necessity of full‐stack co‐optimization. By outlining practical hardware‐level strategies to exploit device behavior and mitigate non‐idealities, it shows pathways for building efficient, scalable, and ...
Kapil Bhardwaj, Roshni Satheesh Babu, Yuxin Xia, Eva Bestelink, Radu Sporea, Nikos Hastas, Ioannis Zeimpekis, Dimitra G. Georgiadou, Sayani Majumdar   +8 more
wiley   +1 more source

Proof in Mathematics Education, 1980-2020: An Overview

Journal of Educational Research in Mathematics, 2020
This paper looks at the evolution of ideas on the role of proof in mathematics education from 1980 to 2020, examining in particular the contributions of both theoretical and empirical research to the teaching of mathematical proof.
Gila Hanna, Christine Knipping
doaj   +1 more source

A Scalable Perovskite Platform With Multi‐State Photoresponsivity for In‐Sensor Saliency Detection

Advanced Materials, EarlyView.
A scalable in‐sensor computing platform (32 × 32 array) with ultra‐low variability is developed by incorporating ferroelectric copolymers into halide perovskite thin films. These devices achieve 1000 programmable photoresponsivity states and high thermal reliability.
Xuechao Xing, Anubhab Tripathi, Si En Ng, Natalia Yantara, Yue Gong, Qinjie Wu, Yeow Boon Tay, Wen Siang Lew, Yang Chai, Arindam Basu, Nripan Mathews   +10 more
wiley   +1 more source

Phase Engineering of Nanomaterials (PEN): Evolution, Current Challenges, and Future Opportunities

Advanced Materials, EarlyView.
This review summarizes the synthesis, phase transition, advanced characterization spanning ex situ to in situ and operando techniques, and diverse applications of phase engineering of nanomaterials (PEN). It further outlines key challenges and future opportunities, such as phase stability, architecture control, and artificial intelligence (AI)‐driven ...
Ye Chen, Zhanxi Fan, Jingjie Ge, Qiyuan He, Zhuangchai Lai, Jiawei Liu, Chaoliang Tan, Hua Zhang   +7 more
wiley   +1 more source

Lakatos and Hersh on Mathematical Proof

Journal of Philosophical Investigations, 2015
The concept of Mathematical Proof has been controversial for the past few decades. Different philosophers have offered different theories about the nature of Mathematical Proof, among which theories presented by Lakatos and Hersh have had significant ...
Hossein Bayat
doaj  

Brown fat detection by infrared thermography-An invaluable research methodology with noteworthy uncertainties confirmed by a mathematical proof. [PDF]

Endocrinol Diabetes Metab, 2023
Leow MKS.
europepmc   +1 more source

Exploring the Potential of Zero‐Dimensional Carbon Nanomaterials in Photoluminescent, Electrochemiluminescent and Electrochemical Sensors

Advanced Materials Interfaces, EarlyView.
Zero‐dimensional carbon nanomaterials are presented as multifunctional platforms linking structure, property, and sensing performance. Surface engineering and heteroatom doping modulate electron‐transfer and luminescent behavior, enabling electrochemical, photoluminescent, and electrochemiluminescent detection. Fundamental design principles, analytical
Gustavo Martins, Jeferson Luiz Gogola, Ava Gevaerd, Cristiane Kalinke, Paulo Roberto de Oliveira, Fabio Roberto Caetano, Bruno Campos Janegitz, Márcio Fernando Bergamini, Luiz Humberto Marcolino‐Junior   +8 more
wiley   +1 more source

From the Discovery of the Giant Magnetocaloric Effect to the Development of High‐Power‐Density Systems

Advanced Materials Technologies, EarlyView.
The article overviews past and current efforts on caloric materials and systems, highlighting the contributions of Ames National Laboratory to the field. Solid‐state caloric heat pumping is an innovative method that can be implemented in a wide range of cooling and heating applications.
Agata Czernuszewicz, Yaroslav Mudryk, Jun Cui, Lucas Griffith, Duane D. Johnson, Julie Slaughter   +5 more
wiley   +1 more source