Results 171 to 180 of about 95,003 (214)

Baseline Resting-State Network Integration Modulates Task Performance and Aftereffect. [PDF]

open access: yesSensors (Basel)
Požar R   +5 more
europepmc   +1 more source

A Sheaf and Topology Approach to Detecting Local Merging Relations in Digital Images

2021 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW), 2021
This paper concerns a theoretical approach that combines topological data analysis (TDA) and sheaf theory. Topological data analysis, a rising field in mathematics and computer science, concerns the shape of the data and has been proven effective in many
Chuan-Shen Hu, Yu-Min Chung
semanticscholar   +1 more source

ADVANCES IN ALGEBRAIC TOPOLOGY: PERSISTENT HOMOLOGY, HIGHER CATEGORY THEORY, AND APPLICATIONS TO MODERN GEOMETRIC STRUCTURES

International Journal of Applied Mathematics
This study presents a theoretical synthesis that connects algebraic topology, persistent homology, and higher category theory to provide a unified mathematical perspective for understanding geometric and algebraic structures.
Dr. C.P. Santhosh   +5 more
semanticscholar   +1 more source

Generating the Mapping Class Group: A Geometric, Algebraic, and Historical Survey

Columbia Journal of Undergraduate Mathematics
The aim of this thesis is to examine a problem that lies in the intersection of geometry, algebra, and the history of mathematics—the generation of the mapping class group. The group is a useful algebraic invariant of geometric surfaces.
Mrinalini Wadhwa
semanticscholar   +1 more source

Unveiling The Hidden Mathematics In Traditional Indonesian Culinary Art: An Exploration of Knot Theory And Alexander Polynomial in Ketupat Telur

Proximal
This research delves into the intriguing relationship between mathematical concepts and traditional Indonesian cultural heritage, particularly in the context of ketupat telur.
Ja'faruddin Ja'faruddin
semanticscholar   +1 more source

5. Flavours of topology

Topology, 2019
From the mid-19th century, topological understanding progressed on various fronts. ‘Flavours of topology’ considers other areas such as differential topology, algebraic topology, and combinatorial topology.
Richard A. Earl
semanticscholar   +1 more source

Forman–Ricci communicability curvature of graphs and networks

European journal of applied mathematics
Geometric parameters in general and curvature in particular play a fundamental role in our understanding of the structure and functioning of real-world networks.
Ernesto Estrada
semanticscholar   +1 more source

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