Results 91 to 100 of about 61,053 (210)
SINGULARITIES IN ARITHMETIC GEOMETRY (Algebraic Number Theory and Related Topics)
This is a report of the recent developments on the study of singularities in positive and mixed characteristics based on the talk delivered by the author in the workshop “Algebraic Number Theory and Related Topics 2023” in Kyoto University. Since Y. André proved the direct summand conjecture via perfectoid spaces, many interesting and exciting results ...
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Beyond Substitution—An Antipositionalist's Guide to Subtraction—
ABSTRACT Existing accounts of relations do not properly account for variably polyadic relations: they fail to capture the relationship between completions of the same relation by different numbers of relata. This paper develops a fully general account of such relations by adding an operation of subtraction to the antipositionalist theory of relations ...
Jon Erling Litland
wiley +1 more source
ABSTRACT This article contributes to the history of material culture and intellectual biography by definitively identifying the Paduan scholar Matteo Macigni (ca. 1510–1582) as the author of the annotations found in a 1535 copy of Albrecht Dürer’s Institutionum geometricarum currently preserved in Vicenza.
Laura Moretti
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Studies on singular Hermitian metrics and their applications in algebraic geometry
学位の種別: 課程博士 審査委員会委員 : (主査)東京大学教授 高山 茂晴, 東京大学教授 平地 健吾, 東京大学教授 小木曽 啓示, 東京大学教授 高木 俊輔, 東京大学准教授 權業 ...
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Spatial depth for data in metric spaces
Abstract We propose a novel measure of statistical depth, the metric spatial depth, for data residing in an arbitrary metric space. The measure assigns high (low) values for points located near (far away from) the bulk of the data distribution, allowing quantifying their centrality/outlyingness.
Joni Virta
wiley +1 more source
Image of mathematics: A case study of two women's early mathematics experiences
Abstract People often view mathematics as abstract, cold, and irrelevant to real life, and their school experiences likely influence such views. In this case study, we investigated the mathematics experiences of two women who participated in an afterschool girls‐only STEM club 30 years ago when they were in fifth and sixth grades.
Lili Zhou +4 more
wiley +1 more source
Exploring 2D Geometric Shape Classification Using AI‐Driven Feature Tables in Mathematics
ABSTRACT This study explored the effectiveness of an AI‐integrated instructional task designed to enhance preservice teachers' understanding of the features and hierarchical relationships of 2D geometric shapes. Originally developed and tested in online K‐12 professional development settings, this intervention was adapted for in‐person preservice ...
Yasemin Gunpinar, Woonhee Sung
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Abstract figure legend Schematic overview of the experimental and computational framework for investigating hiPSC‐CM electrophysiology with MEA systems. The MEA‐based model integrates experimental data with phenotype‐specific ionic models and tissue‐level heterogeneity.
Sofia Botti +2 more
wiley +1 more source
This is a digest report of [12, 13]; we give an elementary characterization of local diffeomorphic types of singular ruled/developable surfaces in mathbb{R}^{3} and their bifurcations by using dual quaternions and mathcal{A}-classification theory of map-germs. Maps and manifolds are of class C^{infty} throughout.
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On computing local monodromy and the numerical local irreducible decomposition
Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source

