Results 41 to 50 of about 2,014,608 (301)
The following two consequences of the axiom of constructibility V=L will be established for every n≥3: 1. Every linear Σn1 set is the projection of a uniform planar Πn−11 set. 2.
Vladimir Kanovei, Vassily Lyubetsky
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New mathematical methods for determining of multicomponent invariants are developed by detection of their constancy using the measures of percentage similarity. Typification of the descriptive sets is proposed.
B. I. Semkin +2 more
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Ambiguity of {\omega}-Languages of Turing Machines [PDF]
An {\omega}-language is a set of infinite words over a finite alphabet X. We consider the class of recursive {\omega}-languages, i.e. the class of {\omega}-languages accepted by Turing machines with a B\"uchi acceptance condition, which is also the class
Olivier Finkel
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Mapping the evolution of mitochondrial complex I through structural variation
Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin +2 more
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On effective compactness and sigma-compactness
Using the Gandy -- Harrington topology and other methods of effective descriptive set theory, we prove several theorems on compact and sigma-compact pointsets. In particular we show that any $\Sigma^1_1$ set $A$ of the Baire space $N^N$ either is covered
A. S. Kechris +8 more
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Enteropathogenic E. coli (EPEC) infects the human intestinal epithelium, resulting in severe illness and diarrhoea. In this study, we compared the infection of cancer‐derived cell lines with human organoid‐derived models of the small intestine. We observed a delayed in attachment, inflammation and cell death on primary cells, indicating that host ...
Mastura Neyazi +5 more
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The paper is a naive introduction to descriptive set theory. It is aimed mathematicians without a background in logic. The goal is to provide the basic facts used for applications of descriptive set theory to other areas of mathematics, particularly analysis and dynamical systems.
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Hierarchies of Effective Descriptive Set Theory [PDF]
1. Introduction and summary. The theory of hierarchies deals with the classification of objects according to some measure of their complexity. Such classifications have been fruitful in several areas of mathematics: analysis (descriptive set theory), recursion theory, and the theory of models.
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By dawn or dusk—how circadian timing rewrites bacterial infection outcomes
The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo +2 more
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Why Be Funny: The Influence of Social Norms on the Communicative Functions of Humor
Humor is a valued social activity and, as such, should be influenced by social norms. This investigation examined the relationships between the functions of humor and the theory of normative social behavior.
Nathan Miczo, John C. Meyer
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