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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

Towards an Intelligent Tutor for Mathematical Proofs [PDF]

open access: yes, 2012
Computer-supported learning is an increasingly important form of study since it allows for independent learning and individualized instruction. In this paper, we discuss a novel approach to developing an intelligent tutoring system for teaching textbook ...
Abigail S. Gertner   +73 more
core   +2 more sources

Enabling Digital Continuity in Virtual Manufacturing for Eco‐Efficiency Assessment of Lightweight Structures by Means of a Domain‐Specific Structural Mechanics Language: Requirements, Idea and Proof of Concept

open access: yesAdvanced Engineering Materials, EarlyView.
This article presents a solver‐agnostic domain‐specific language (DSL) for computational structural mechanics that strengthens interoperability in virtual product development. Using a hierarchical data model, the DSL enables seamless exchange between diverse simulation tools and numerical methods.
Martin Rädel   +3 more
wiley   +1 more source

Multiplicative-Additive Focusing for Parsing as Deduction

open access: yes, 2015
Spurious ambiguity is the phenomenon whereby distinct derivations in grammar may assign the same structural reading, resulting in redundancy in the parse search space and inefficiency in parsing.
Morrill, Glyn, Valentín, Oriol
core   +2 more sources

3D Printed Ultra‐Fast Plastic Scintillators Based on Perovskite‐Photocurable Polymer Composite

open access: yesAdvanced Functional Materials, Volume 35, Issue 12, March 18, 2025.
The demand for radiation detection is increasing in a number of fields, including high‐energy physics, medical imaging, and homeland security. This study serves to demonstrate the potential for the fabrication of fast perovskite‐based scintillators with complex shapes via stereolithographic additive manufacturing, representing a new path toward the ...
Antonella Giuri   +16 more
wiley   +1 more source

A Case for Proof Making for Prospective Middle School Teachers [PDF]

open access: yes, 2004
In this article, we discuss how we, as mathematics teacher educators, might help our prospective middle school teachers develop a disposition toward mathematics that involves making sound arguments and, more generally, making proofs about mathematical ...
Cavey, L.   +2 more
core   +1 more source

Desperately Seeking Mathematical Proof [PDF]

open access: yesThe Mathematical Intelligencer, 2009
Remarks on mathematical proof and the practice of mathematics.
openaire   +3 more sources

NanoMOF‐Based Multilevel Anti‐Counterfeiting by a Combination of Visible and Invisible Photoluminescence and Conductivity

open access: yesAdvanced Functional Materials, EarlyView.
This study presents novel anti‐counterfeiting tags with multilevel security features that utilize additional disguise features. They combine luminescent nanosized Ln‐MOFs with conductive polymers to multifunctional mixed‐matrix membranes and powder composites. The materials exhibit visible/NIR emission and matrix‐based conductivity even as black bodies.
Moritz Maxeiner   +9 more
wiley   +1 more source

Mathematical Method and Proof [PDF]

open access: yesSynthese, 2006
On a traditional view, the primary role of a mathematical proof is to warrant the truth of the resulting theorem. This view fails to explain why it is very often the case that a new proof of a theorem is deemed important. Three case studies from elementary arithmetic show, informally, that there are many criteria by which ordinary proofs are valued.
openaire   +1 more source

Synchrotron Radiation for Quantum Technology

open access: yesAdvanced Functional Materials, EarlyView.
Materials and interfaces underpin quantum technologies, with synchrotron and FEL methods key to understanding and optimizing them. Advances span superconducting and semiconducting qubits, 2D materials, and topological systems, where strain, defects, and interfaces govern performance.
Oliver Rader   +10 more
wiley   +1 more source

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