Results 131 to 140 of about 5,495,109 (374)
The Fourier Transform on Quantum Euclidean Space
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We study Fourier theory on quantum Euclidean space. A modified version of the general definition of the Fourier transform on a quantum space is used and its inverse is constructed.
Kevin Coulembier
doaj +1 more source
On convolution surfaces in Euclidean 3-space
Journal of Mathematical Sciences and Modelling, 2018 In the present paper we study with the convolution surface $C=M\star N$ of a paraboloid $M\subset \mathbb{E}^{3}$ and a parametric surface $N\subset \mathbb{E}^{3}$.
Kadri Arslan, Selin Aydöner
doaj +1 more source
On rectifying curves in Euclidean 3-space
, 2018 First, we study rectifying curves via the dilation of unit speed curves on the unit sphere S in the Euclidean space E . Then we obtain a necessary and sufficient condition for which the centrode d(s) of a unit speed curve α(s) in E is a rectifying curve ...
Sharief Deshmukh +2 more
semanticscholar +1 more source
Advanced Science, EarlyView.Mitochondria across the entire neuromuscular system have been comprehensively reconstructed at different developmental stages using 3D electron microscopy. Fundamental structural principles related to synaptic function are preserved across development, and these morphologies are adapted to ensure effective neural circuit function.
J. Alexander Bae +9 more
wiley +1 more source
Characterizing the topology of pseudo-boundaries of Euclidean spaces [PDF]
arXiv, 1999 We give a topological characterization of the n-dimensional pseudo-boundary of the (2n+1)-dimensional Euclidean space.
arxiv
A Note on the Possible Existence of an Instanton-like Self-Dual Solution to Lattice Euclidean Gravity [PDF]
, 2017 The self-dual solution to lattice Euclidean gravity is constructed. In contrast to the well known Eguchi-Hanson solution to continuous Euclidean Gravity, the lattice solution is asymptotically {\it{globally}} Euclidean, i.e., the boundary of the space as $r\longrightarrow\infty$ is $S^3=SU(2)$.
arxiv +1 more source
A note on hypersurfaces in a Euclidean space [PDF]
Geometriae Dedicata, 1990 We obtain a characterization for a compact and connected hypersurface of Rn+1 to be a sphere in terms of the lower bound on the Ricci curvature.
openaire +2 more sources
Advanced Science, EarlyView.How can we fully understand brain function and disease without uncovering the causal coordination between molecular and neural activity across space and time? MEA‐seqX tackles this challenge by integrating advanced electrophysiology, spatial transcriptomics, and artificial intelligence predictions, revealing multiscale dynamics.
Brett Addison Emery +9 more
wiley +1 more source
arXiv, 2004 This paper deals with various topics in analysis on hyperbolic spaces. It surveys some recent progress in non-Euclidean Fourier Analysis and proves some new results for the geodesic Radon transform on hyperbolic spaces.
arxiv
On intrinsic isometries to Euclidean space [PDF]
St. Petersburg Mathematical Journal, 2011 I consider compact metric spaces which admit intrinsic isometries to Euclidean d-space. The main result roughly states that the class of these spaces coincides with class of inverse limits of Euclidean d-polyhedra.
openaire +3 more sources