Results 41 to 50 of about 1,552,204 (312)

Mathematics and the Brain: A Category Theoretical Approach to Go Beyond the Neural Correlates of Consciousness

open access: yesEntropy, 2019
Consciousness is a central issue in neuroscience, however, we still lack a formal framework that can address the nature of the relationship between consciousness and its physical substrates.
G. Northoff, Naotsugu Tsuchiya, H. Saigo
semanticscholar   +1 more source

Categories without structures [PDF]

open access: yes, 2009
The popular view according to which Category theory provides a support for Mathematical Structuralism is erroneous. Category-theoretic foundations of mathematics require a different philosophy of mathematics.
Rodin, Andrei
core   +5 more sources

∞-tilting theory [PDF]

open access: yesPacific Journal of Mathematics, 2017
We define the notion of an infinitely generated tilting object of infinite homological dimension in an abelian category. A one-to-one correspondence between $\infty$-tilting objects in complete, cocomplete abelian categories with an injective cogenerator
L. Positselski, J. Šťovíček
semanticscholar   +1 more source

Data‐driven forecasting of ship motions in waves using machine learning and dynamic mode decomposition

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView.
Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez   +2 more
wiley   +1 more source

Some problems in mathematics and mathematical physics [PDF]

open access: yesarXiv, 2020
We discuss new approaches to fundamental problems of mathematics and mathematical physics such as mathematical foundation of quantum field theory, the Riemann hypothesis, and construction of noncommutative algebraic geometry.
arxiv  

Category theory : definitions and examples [PDF]

open access: yes, 1990
Category theory was invented as an abstract language for describing certain structures and constructions which repeatedly occur in many branches of mathematics, such as topology, algebra, and logic.
Srinivas, Yellamraju V.
core  

Mathematics and the brain –a category theoretic approach to go beyond the neural correlates of consciousness

open access: yesbioRxiv, 2019
Consciousness is a central issue in cognitive neuroscience. To explain the relationship between consciousness and its neural correlates, various theories have been proposed. We still lack a formal framework that can address the nature of the relationship
G. Northoff, N. Tsuchiya, H. Saigo
semanticscholar   +1 more source

Mucus Physically Restricts Influenza A Viral Particle Access to the Epithelium

open access: yesAdvanced Biology, EarlyView.
The infectious potential of respiratory viruses depends on their ability to navigate through a layer of mucus that serves as a protective barrier in the lung. It is demonstrated that influenza A virus penetration through mucus is significantly limited by the gel's internal microstructure and, to a lesser extent, by adhesive binding to mucin glycans ...
Logan Kaler   +8 more
wiley   +1 more source

ASPECTS OF GLOBULAR HIGHER CATEGORY THEORY

open access: yesBulletin of the Australian Mathematical Society, 2014
The thesis is in the field of higher category theory, a new branch of mathematics which emerged over the last 20 years from the demands of several seemingly distinct areas such as mathematical physics, computer science, mathematical logic and algebraic ...
Camell Kachour
semanticscholar   +1 more source

Proteome Size Is Positively Correlated with Lifespan in Mammals but Negatively Correlated with Lifespan in Birds

open access: yesAdvanced Biology, EarlyView.
The relationship between proteome size, amino acid composition, and lifespan across 276 vertebrate species is investigated. Proteome size correlates positively with lifespan in mammals but negatively in birds and fish. While proteome composition varies among classes, no single amino acid frequency correlates with lifespan.
Juliano Morimoto, Zuzanna Pietras
wiley   +1 more source

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