Results 81 to 90 of about 1,003,903 (269)
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
Advanced Healthcare Materials, EarlyView.This study developed a bioprinted co‐culture system embedding rat pancreatic islets and Scenedesmus sp. microalgae spatially defined in close vicinity. Red light was found optimal to ensure microalgal photosynthesis while maintaining islet viability and functionality. A tailored co‐culture medium supported both cell types.
Finn Dani +7 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
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Optimal Gabor frame bounds for separable lattices and estimates for Jacobi theta functions
, 2016 We study sharp frame bounds of Gabor frames with the standard Gaussian window and prove that the square lattice optimizes both the lower and the upper frame bound among all rectangular lattices.
Faulhuber, Markus, Steinerberger, Stefan
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Advanced Materials, EarlyView.AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll +19 more
wiley +1 more source
Light‐Induced Entropy for Secure Vision
Advanced Materials, EarlyView.This work realized a ternary true random number generator by exploiting stochastic traps emerging within multiple junction interfaces, and quantitatively validated the generation of high‐quality random numbers. Furthermore, it successfully demonstrated diverse applications, including AI‐resilient image security, thereby providing a valuable guide for ...
Juhyung Seo +9 more
wiley +1 more source
Indonesian Journal of Educational Research and ReviewProof and argumentation are integral components in mathematics education, as argumentation serves as a crucial foundation in constructing mathematical proofs.
Putri Haryani Syahar +3 more
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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
Tilings of Annular Region [PDF]
, 2014 We present our summer research on mathematical tiling. We classified which rectangular annular regions are tileable by the set of T and skew tretrominoes.
Altringer, Levi A. +7 more
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Two‐Photon 3D Printing of Functional Microstructures Inside Living Cells
Advanced Materials, EarlyView.This study demonstrates 3D printing inside living cells by using two‐photon photo‐lithography. A bio‐compatible photoresist is injected into cells and selectively polymerized with a femtosecond laser, creating custom‐shaped intracellular structures with submicron resolution.
Maruša Mur +4 more
wiley +1 more source