Results 181 to 190 of about 95,377 (221)

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, Dr Bijumon Ramalayathil, Dr. Sunil Kumar Srivastava, Garapati sandhya devi, Shraddha Bagade, V. Chaudhary   +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

Mathematical Principles of Topological and Geometric Data Analysis

2023
Parvaneh Joharinad, Jürgen Jost
openaire   +1 more source

Gravitational and Planck Constants as Mathematical Necessities: First Derivation of G and ℏ from Geometric, Topological, and Information-Theoretic Structure

We present the first complete explanation of why the gravitational constant G and the Planck constant ℏ must have the values they do. Instead of treating them as arbitrary inputs to physics, we show that they arise naturally from the geometry, topology, and information structure of spacetime itself.
openaire   +1 more source

Short Communication on Geometric Topology

, 2020
H. Johnson
semanticscholar   +1 more source