Results 11 to 20 of about 9,652 (238)

Small and large inductive dimension for ideal topological spaces [PDF]

, 2021
[EN] Undoubtedly, the small inductive dimension, ind, and the large inductive dimension, Ind, for topological spaces have been studied extensively, developing an important field in Topology.
Fotini Sereti, Sereti, Fotini
core   +1 more source

Cellular structures in Topology [PDF]

, 1990
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, Rudolf Fritsch, Fritsch, Rudolf, Piccinini, Renzo A., Rudolf Fritsch, et al.   +4 more
core   +1 more source

Estimate of the Neural Network Dimension Using Algebraic Topology and Lie Theory

, 2020
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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A Geometric Study of Commutator Subgroups [PDF]

, 2009
Let G be a group and G' its commutator subgroup. Commutator length (cl) and stable commutator length (scl) are naturally defined concepts for elements of G'. We study cl and scl for two classes of groups.
Zhuang, Dongping, Dongping Zhuang
core   +1 more source

A Depolarizing Leak in Sodium Bicarbonate Cotransporter NBCe1 Causes Brain Edema

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives SLC4A4 encodes electrogenic sodium bicarbonate cotransporter NBCe1, prominently expressed in kidney and brain. Recessive loss‐of‐function variants in SLC4A4 cause proximal renal tubular acidosis, no brain edema. In the brain, NBCe1 is expressed by astrocytes, where it regulates pH and mediates astrocyte volume changes.
Quinty Bisseling, Mark D. Parker, Sven Kerst, Richard A. Pasternack, Jacob Tondreau, Marjolein Breur, Gemma M. van Rooijen‐van Leeuwen, Davide Tonduti, Ettore Salsano, Alejandra Darling, Joanna A. E. van Wijk, Susanna Törnroth‐Horsefield, Marianna Bugiani, Petra J. W. Pouwels, Quinten Waisfisz, Marjo S. van der Knaap, Rogier Min   +16 more
wiley   +1 more source

Effectiveness of rTMS on Working Memory and Inhibitory Impairments in Patients With Post‐Stroke Executive Deficits

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Considerable efforts have been dedicated to developing effective treatments for post‐stroke executive impairment (PSEI), among which repetitive transcranial magnetic stimulation (rTMS) has shown great potential. This study aimed to investigate the therapeutic effects of high‐frequency rTMS on working memory (WM) and response ...
Mengting Lao, Rongwei Du, Zhujun Wang, Yang Gao, Meiling Cheng, Xianglong Wang, Wen Wu   +6 more
wiley   +1 more source

Structure and dimension of global branches of solutions to multiparameter nonlinear equations [PDF]

, 1985
A general study of the dimension and connectivity properties of branches of solutions of equations depending on n-parameters are studied using the homotopy properties of 0-epi ...
Pejsachowicz, Jacobo, Ize, J., Massabò, I., Ize J., Vignoli, A., Vignoli A., Massabò I.   +6 more
core  

Solid‐State Diffusion and Intermetallic Phase Formation in Roll‐Bonded Mg–Zn Composites With Kirigami‐Patterned Inlay

Advanced Engineering Materials, EarlyView.
Mg–Zn composites with a thickness of 0.21 mm were fabricated using roll bonding of a kirigami‐patterned Mg alloy inlay within a Zn matrix. Thermal activation following this process led to the formation of tailored intermetallic structures, which provided the composite with enhanced flexural strength.
Yaroslav Frolov, Oleksandr Bobukh, Christian Klose, Florian Nürnberger, Hans Jürgen Maier   +4 more
wiley   +1 more source

Additive Manufacturing of Continuous Fibre Reinforced Composites: Process, Characterisation, Modelling, and Sustainability

Advanced Engineering Materials, EarlyView.
Additive manufacturing provides precise control over the placement of continuous fibres within polymer matrices, enabling customised mechanical performance in composite components. This article explores processing strategies, mechanical testing, and modelling approaches for additive manufactured continuous fibre‐reinforced composites.
Cherian Thomas, Amir Hosein Sakhaei
wiley   +1 more source

Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading

Advanced Engineering Materials, EarlyView.
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley   +1 more source