Results 271 to 280 of about 3,878,522 (308)

Open, Connected Functions

Canadian Mathematical Bulletin, 1973
Recall that a function f:X→ Yis called connected if f(C) is connected for each connected subset C of X. These functions have been extensively studied. (See Sanderson [6].) A function f:X → Y is monotone if for each y ∊ Y, f-1(y) is connected. We shall use the techniques of multivalued functions to prove that if f: X→ Y is open and monotone onto Y, then
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Dynamic functional connectivity

Current Opinion in Neurobiology, 2007
Recent studies show that anatomical and functional brain networks exhibit similar small-world properties. However, the networks that are compared often differ in what the nodes represent (e.g. sensors or brain areas), what kind of connectivity is measured, and what temporal and spatial scales are probed.
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Connectivity of Function Spaces

Canadian Journal of Mathematics, 1971
Given two spaces X and Y with Y either an AE (metrizable) or ANE (metrizable), little is known with regard to when the function space (Yx, τ), for some topology τ, is an AE (metrizable) or ANE (metrizable) except when very strong separation properties are imposed on X and Y (see [5, pp. 186-189]).
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The functional logic of cortical connections

Nature, 1988
Patterns of anatomical connections in the visual cortex form the structural basis for segregating features of the visual image into separate cortical areas and for communication between these areas at all levels to produce a coherent percept. Such multi-stage integration may be a common strategy throughout the cortex for producing complex behaviour.
S, Zeki, S, Shipp
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Proof-functional connectives and realizability

Archive for Mathematical Logic, 1994
The paper analyses and investigates to the so called ``proof-functional'' logical connectives, building on and developing previous observations and results by \textit{E. G. K. Lopez-Escobar} [Lect. Notes Math. 1130, 208-221 (1985; Zbl 0615.03047)] and \textit{G. Mints} [Notre Dame J. Formal Logic 30, No. 3, 420-441 (1989; Zbl 0704.03004)].
Franco Barbanera, Simone Martini 0001
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Functional Connectivity Analysis in Magnetoencephalography

2005
Publisher Summary The anatomical structure of the human brain provides ample evidence for the existence of specialized local neural assemblies that are hierarchically organized at different spatial scales. The pathways connecting local networks form the communication channels that allow for highly dynamic interactions between the specialized networks.
Alfons, Schnitzler, Joachim, Gross
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"Connectivity and dynamic function in the brain"

Proceedings IEEE International Symposium on Biomedical Imaging, 2003
We wish to investigate the complex temporal dynamics of spatially distributed, highly interconnected brain regions, but available methods do not measure all relevant aspects of the system. We must take a convergent multidisciplinary approach, employing multiple methods and defining the relationships between disparate methods.
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Functional Connectivity

Neuroimaging Clinics of North America, 2017
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Functional Connectivity Biomarkers in Schizophrenia

Schizophrenia is a debilitating neuropsychiatric disorder that affects approximately 1% of the population and poses a major public health problem. Despite over 100 years of study, the treatment for schizophrenia remains limited, partially due to the lack of knowledge about the neural mechanisms of the illness and how they relate to symptoms.
Amber M, Howell, Alan, Anticevic
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On boolean functions and connected sets

Mathematical Systems Theory, 1971
Ralph McKenzie, Jan Mycielski, David Thompson   +2 more
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