Results 61 to 70 of about 3,412,246 (356)

The prospects for mathematical logic in the twenty-first century [PDF]

open access: yes, 2001
The four authors present their speculations about the future developments of mathematical logic in the twenty-first century. The areas of recursion theory, proof theory and logic for computer science, model theory, and set theory are discussed ...
Alexander S. Kechris   +4 more
core   +3 more sources

Pentagonal 2D Altermagnets: Material Screening and Altermagnetic Tunneling Junction Device Application

open access: yesAdvanced Functional Materials, EarlyView.
From a database of 170 pentagonal 2D materials, 4 candidates exhibiting altermagnetic ordering are screened. Furthermore, the spin‐splitting and unconventional boundary states in the pentagonal 2D altermagnetic monolayer MnS2 are investigated. A MnS2‐based altermagnetic tunneling junction is designed and, through ab initio quantum transport simulations,
Jianhua Wang   +8 more
wiley   +1 more source

Configural reasoning as coordination of visualisation process

open access: yesEnseñanza de las Ciencias, 2011
This study identifies visualisation processes in student primary teachers when they solve geometry problems requiring mathematical proof, in a pencil-and-paper environment.
Germán Torregrosa-Gironés   +2 more
doaj   +1 more source

The Role of the Mizar Mathematical Library for Interactive Proof Development in Mizar

open access: yesJournal of automated reasoning, 2017
The Mizar system is one of the pioneering systems aimed at supporting mathematical proof development on a computer that have laid the groundwork for and eventually have evolved into modern interactive proof assistants.
G. Bancerek   +6 more
semanticscholar   +1 more source

Rapid Diagnostics of Reconfigurable Intelligent Surfaces Using Space‐Time‐Coding Modulation

open access: yesAdvanced Functional Materials, EarlyView.
A fast reconfigurable‐intelligent‐surface (RIS) diagnostics method is proposed based on spatio‐temporal modulation with orthogonal codes. Theoretical analysis demonstrates a clear distinction in code channel power between normal and faulty elements. Simulations validate its feasibility under high fault ratios and varying receiving angles.
Yi Ning Zheng   +7 more
wiley   +1 more source

Enhancing mathematical proof skills in teacher education through etymology-based learning approaches

open access: yesIndonesian Journal of Science and Mathematics Education
This study aims to enhance students' understanding of mathematical proof through the etymology-based learning method. The research employs a descriptive approach to observe and analyze students' mathematical proof patterns in various contexts.
Mohamad Rifat   +2 more
doaj   +1 more source

A Science of Reasoning [PDF]

open access: yes, 1991
This paper addresses the question of how we can understand reasoning in general and mathematical proofs in particular. It argues the need for a high-level understanding of proofs to complement the low-level understanding provided by Logic.
Bundy, Alan
core   +1 more source

The Hierarchical Structure of Sheep Wool and Its Impact on Physical Properties

open access: yesAdvanced Functional Materials, EarlyView.
Sheep wool, a prevalent α‐keratinous fiber, is an essential model for studying protein‐based fibers. Its genetic diversity across breeds enables the establishment of multiscale structure‐property relationships, uncovering previously elusive insights into wool's hierarchical structure.
Serafina R. France Tribe   +9 more
wiley   +1 more source

Proofs Versus Experiments: Wittgensteinian Themes Surrounding the Four-Color Theorem [PDF]

open access: yes, 2017
The Four-Colour Theorem (4CT) proof, presented to the mathematical community in a pair of papers by Appel and Haken in the late 1970's, provoked a series of philosophical debates.
Secco, G. D.
core  

Evidence, Proofs, and Derivations [PDF]

open access: yes, 2019
The traditional view of evidence in mathematics is that evidence is just proof and proof is just derivation. There are good reasons for thinking that this view should be rejected: it misrepresents both historical and current mathematical practice ...
Aberdein, Andrew
core   +2 more sources

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