Results 51 to 60 of about 1,003,903 (269)
On Gauss's first proof of the fundamental theorem of algebra
, 2017 Carl Friedrich Gauss is often given credit for providing the first correct proof of the fundamental theorem of algebra in his 1799 doctoral dissertation. However, Gauss's proof contained a significant gap.
Basu, Soham, Velleman, Daniel J.
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Easy and nearly simultaneous proofs of the Ergodic Theorem and Maximal Ergodic Theorem [PDF]
, 2006 We give a short proof of a strengthening of the Maximal Ergodic Theorem which also immediately yields the Pointwise Ergodic Theorem.Comment: Published at http://dx.doi.org/10.1214/074921706000000266 in the IMS Lecture Notes--Monograph Series (http ...
Keane, Michael, Petersen, Karl
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Advanced 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
Enhancing mathematical proof skills in teacher education through etymology-based learning approaches
Indonesian Journal of Science and Mathematics EducationThis 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
Mathematical Method and Proof [PDF]
Synthese, 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
Proofs Versus Experiments: Wittgensteinian Themes Surrounding the Four-Color Theorem [PDF]
, 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.
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On the Equivalence of Barrier Crossing, Peak-Background Split, and Local Biasing
, 2012 Several, apparently distinct, formalisms exist in the literature for predicting the clustering of dark matter halos. It has been noticed on a case-by-case basis that the predictions of these different methods agree in specific examples, but there is no ...
Assassi +28 more
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Advanced 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
IEEE Access, 2019 High-penetration wind power access to grid requires wind turbine generator (WTG) to provide frequency regulation service. Consequently, the frequency dynamics of wind power plants (WPPs) integrated system are changing; thus, it is necessary to ...
Jianfeng Dai +3 more
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Unleashing the Power of Machine Learning in Nanomedicine Formulation Development
Advanced Functional Materials, EarlyView.A random forest machine learning model is able to make predictions on nanoparticle attributes of different nanomedicines (i.e. lipid nanoparticles, liposomes, or PLGA nanoparticles) based on microfluidic formulation parameters. Machine learning models are based on a database of nanoparticle formulations, and models are able to generate unique solutions
Thomas L. Moore +7 more
wiley +1 more source