Behold the Manifold, the Concept that Changed How Mathematicians View Space

In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation ...
SciELO

The fourth dimension: from its spatial nature in Euclidean geometry to a time-like component of non-Euclidean manifolds

Neste artigo, apresenta-se a evolução das ideias sobre a quarta dimensão espacial, partindo daquelas que surgem da geometria euclidiana clássica e abordando, em seguida, as que resultam do âmbito das ...
IEEE

Shape Analysis of Elastic Curves in Euclidean Spaces

Abstract: This paper introduces a square-root velocity (SRV) representation for analyzing shapes of curves in euclidean spaces under an elastic metric. In this SRV representation, the elastic metric ...
IEEE

New Trends in Stochastic Geometry for Wireless Networks: A Tutorial and Survey

Abstract: Next-generation wireless networks are expected to be highly heterogeneous, multilayered, with embedded intelligence at both the core and edge of the network. In such a context, system-level ...