Results 11 to 20 of about 119,474,497 (219)
Shape theory and mathematical design of a general geometric kernel through regular stratified objects [PDF]
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This dissertation focuses on the mathematical design of a unified shape kernel for geometric computing, with possible applications to computer aided design (
Gomes, Abel Joao Padrao
core +7 more sources
COARSE VERSION OF HOMOTOPY THEORY (AXIOMATIC STRUCTURE) [PDF]
In topology, homotopy theory can be put into an algebraic framework. The most complete such framework is that of a Quillen model Category [[15], [5]]. The usual class of coarse spaces appears to be too small to be a Quillen model category.
Mohamad, Nadia
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Cellular structures in Topology [PDF]
This book describes the construction and the properties of CW-complexes. These spaces are important because firstly they are the correct framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type.
Renzo Piccinini +4 more
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Topology change and context dependence [PDF]
The nonclassical features of quantum mechanics are reproduced using models constructed with a classical theory-general relativity. The inability to define complete initial data consistently and independently of future measurements, nonlocality, and the ...
Hadley, Mark J.
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Dimension and measure for generic continuous images [PDF]
This work is supported by EPSRC Doctoral Training GrantsWe consider the Banach space consisting of continuous functions from an arbitrary uncountable compact metric space, X, into R-n.
James T. Hyde +9 more
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Estimate of the Neural Network Dimension Using Algebraic Topology and Lie Theory
In this paper we present an approach to determine the smallest possible number of perceptrons in a neural net in such a way that the topology of the input space can be learned sufficiently well.
Luciano Melodia
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Membrane composition and thermodynamic identity as boundaries of life for synthetic cell research
What makes a cell a cell? The boundary of a living cell is not just a wall. Read as a Markov blanket, the membrane separates internal from external states, generating identity and non‐equilibrium order. Can this identity be rebuilt from scratch in a synthetic cell?
Caterina Presutti, Bert Poolman
wiley +1 more source
Modular Critical Element Recycling Platform Using a Nanoporous Additively Manufactured Gyroid
A modular recycling platform integrates 3D‐printed nanoporous gyroid structures to enable efficient critical element recovery. This system utilizes a hierarchical architecture, combining macroscopic channels with polymerization‐induced nanoscale porosity. By systematically tuning structural wall thickness and resin formulation, the platform achieves an
Xiangyu Gao +6 more
wiley +1 more source
Low‐voltage FIB‐SEM tomography combined with a image preprocessing pipeline improves phase contrast and enables reliable machine‐learning segmentation of conductive networks in lithium‐ion battery electrodes. Structural descriptors are extracted from segmented images, done semimanually and automated, and compared.
Lisa Beran +6 more
wiley +1 more source
Dimension and measure theory of self-similar structures with no separation condition [PDF]
We introduce methods to cope with self-similar sets when we do not assume any separation condition. For a self-similar set K ⊆ ℝᵈ we establish a similarity dimension-like formula for Hausdorff dimension regardless of any separation condition.
Farkas, Ábel
core +2 more sources

