Turán and Ramsey problems for alternating multilinear maps
Discrete Analysis, 2023 Turán and Ramsey problems for alternating multilinear maps, Discrete Analysis 2023:12, 22 pp. Ramsey's theorem (in its finite version) states that for every positive integer $k$ there exists a positive integer $n$ such that every graph with $n$ vertices
Youming Qiao
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Linearization of nonlinear connections on vector and affine bundles, and some applications [PDF]
Journal of Physics A: Mathematical and Theoretical, 2018 Abstract A linear connection is associated with a nonlinear connection on a vector bundle by a linearization procedure. Our definition is intrinsic in terms of vector fields on the bundle. For a connection on an affine bundle, our procedure can be applied after homogenization and restriction.
openaire +4 more sources
Characterising transformations between quantum objects, 'completeness' of quantum properties, and transformations without a fixed causal order [PDF]
QuantumMany fundamental and key objects in quantum mechanics are linear mappings between particular affine/linear spaces. This structure includes basic quantum elements such as states, measurements, channels, instruments, non-signalling channels and channels ...
Simon Milz, Marco Túlio Quintino
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Local CCW input-output dynamics and stability of nonlinear affine systems [PDF]
تصمیم گیری و تحقیق در عملیاتPurpose: The research aims to study local counterclockwise input–output (CCW I–O) properties of nonlinear input-affine systems and to establish if these properties can be identified from their linearized models.
Qin Xu
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Clustering of Whole-Brain White Matter Short Association Bundles Using HARDI Data
Frontiers in Neuroinformatics, 2017 Human brain connectivity is extremely complex and variable across subjects. While long association and projection bundles are stable and have been deeply studied, short association bundles present higher intersubject variability, and few studies have ...
Claudio Román +9 more
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Structurofunctional resting-state networks correlate with motor function in chronic stroke
NeuroImage: Clinical, 2017 Purpose: Motor function and recovery after stroke likely rely directly on the residual anatomical connections in the brain and its resting-state functional connectivity.
Benjamin T. Kalinosky +2 more
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One shot lumen mesh generation of abdominal aortic aneurysm by hybrid neural network [PDF]
Digital DiagnosticsBACKGROUND: The majority of current algorithms for blood flow surface extraction in the context of hemomodeling of abdominal aortic aneurysms are derived through a segmentation step, rather than directly from CT scans [1].
Rostislav Yu. Epifanov +2 more
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Decomposition of the connection in affine models of gravity
European Physical Journal C: Particles and FieldsIn physics geometrical connections are the mean to create models with local symmetries (gauge connections), as well as general diffeomorphisms invariance (affine connections).
Oscar Castillo-Felisola +3 more
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Structural insights into an engineered feruloyl esterase with improved MHET degrading properties
FEBS Letters, EarlyView.A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa +5 more
wiley +1 more source
Einstein Gravity, Lagrange-Finsler Geometry, and Nonsymmetric Metrics
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We formulate an approach to the geometry of Riemann-Cartan spaces provided with nonholonomic distributions defined by generic off-diagonal and nonsymmetric metrics inducing effective nonlinear and affine connections.
Sergiu I. Vacaru
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