Results 11 to 20 of about 405,413 (267)
Generalized Homology Groups [PDF]
Proceedings of the National Academy of Sciences, 1940 Not ...
Mayer, W., Campbell, A. D.
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Homology of gaussian groups [PDF]
Annales de l'Institut Fourier, 2003 We describe new combinatorial methods for constructing explicit free resolutions of ℤ by ℤ G -
Dehornoy, Patrick, Lafont, Yves
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Persistent homology of groups [PDF]
Journal of Group Theory, 2011 We introduce and investigate notions of persistent homology for p-groups and for coclass trees of p-groups. Using computer techniques we show that persistent homology provides fairly strong homological invariants for p-groups of order at most 81. The strength of these invariants, and some elementary theoretical properties, suggest that persistent ...
Ellis, Graham, King, Simon
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Computation of Homology Groups and Generators [PDF]
Computers & Graphics, 2005 Topological invariants are extremely useful in many applications related to digital imaging and geometric modeling, and homology is a classical one, which has not yet been fully explored in image applications. We present an algorithm that computes the whole homology of an object of arbitrary dimension: Betti numbers, torsion coefficients and generators.
Peltier, Samuel +3 more
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Homology in Varieties of Groups. III [PDF]
Transactions of the American Mathematical Society, 1971 The study of (co-) homology groups Z,3(HX A), SnI3(H, A), 3 a variety, 11 a group in 3, and A a suitable 11-module, is pursued. They are compared with a certain Tor and Ext. The definition of the homology of an epimorphism due to Rinehart is shown to agree with that due to Barr and Beck (whenever both are defined).
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A Spatiotemporal Brain Network Analysis of Alzheimer’s Disease Based on Persistent Homology
Frontiers in Aging Neuroscience, 2022 Current brain network studies based on persistent homology mainly focus on the spatial evolution over multiple spatial scales, and there is little research on the evolution of a spatiotemporal brain network of Alzheimer’s disease (AD).
Jiacheng Xing +4 more
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F1000Research, 2022 Background: In autoimmune vasculitis, autoantibodies to Human Proteinase 3 (PR3), a human serine protease, seems to have a role on the inception of c-ANCA associated vasculitis. The origin of this autoreactive response remains unclear.
María Sánchez +6 more
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A Review of The Application of Spectroscopy to Flavonoids from Medicine and Food Homology Materials
Molecules, 2022 Medicinal and food homology materials are a group of drugs in herbal medicine that have nutritional value and can be used as functional food, with great potential for development and application.
Lin Zou +8 more
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Homology Groups of a Pipeline Petri Net
Моделирование и анализ информационных систем, 2013 Petri net is said to be elementary if every place can contain no more than one token. In this paper, it is studied topological properties of the elementary Petri net for a pipeline consisting of n functional devices. If the work of the functional devices
A. A. Husainov +2 more
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Sequence homology at the breakpoint and clinical phenotype of mitochondrial DNA deletion syndromes. [PDF]
PLoS ONE, 2010 Mitochondrial DNA (mtDNA) deletions are a common cause of mitochondrial disorders. Large mtDNA deletions can lead to a broad spectrum of clinical features with different age of onset, ranging from mild mitochondrial myopathies (MM), progressive external ...
Bekim Sadikovic +8 more
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