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Normal Forms for Partitions and Relations
1999Recently there has been a growing interest towards algebraic structures that are able to express formalisms different from the standard tree-like presentation of terms. Many of these approaches reveal a specific interest towards their application in the "distributed and concurrent systems" field, but an exhaustive comparison between them is dificult ...
BRUNI, ROBERTO +2 more
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Proceedings of the Steklov Institute of Mathematics
Consider the vector field \[ \dot x = \Lambda x + f(x), \ \ x \in \mathbb{C}^n, \tag{1} \] where \(\Lambda\) is a constant diagonal matrix with \(n\) different eigenvalues \(\lambda_1, \ldots, \lambda_n\), and \(f\) is a formal vector power series over \(\mathbb{C}\) or a holomorphic vector function \(\mathbb{C}^n \to \mathbb{C}^n\).
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Consider the vector field \[ \dot x = \Lambda x + f(x), \ \ x \in \mathbb{C}^n, \tag{1} \] where \(\Lambda\) is a constant diagonal matrix with \(n\) different eigenvalues \(\lambda_1, \ldots, \lambda_n\), and \(f\) is a formal vector power series over \(\mathbb{C}\) or a holomorphic vector function \(\mathbb{C}^n \to \mathbb{C}^n\).
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1988
Normal forms for non-flat tables (non-first normal form relations) are introduced. They aim to eliminate data redundancy. Further nice properties for querying and updating are guarantied; especially the ordinary transitivity rule for functional dependencies holds. Functional dependencies for structured tables with some inference rules are discussed.
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Normal forms for non-flat tables (non-first normal form relations) are introduced. They aim to eliminate data redundancy. Further nice properties for querying and updating are guarantied; especially the ordinary transitivity rule for functional dependencies holds. Functional dependencies for structured tables with some inference rules are discussed.
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Mathematics and Computers in Simulation, 1998
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Mapping properties of normal forms transformations for water waves
, 2016W. Craig, C. Sulem
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Integrability and Non-integrability of Hamiltonian Normal Forms
, 2015F. Verhulst
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2000
Abstract We continue to study the Hamiltonian equation (5.1) near an invariant manifold T 2n = Ф0(R × T n which possesses the properties 1-5 as in Section 5.1.
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Abstract We continue to study the Hamiltonian equation (5.1) near an invariant manifold T 2n = Ф0(R × T n which possesses the properties 1-5 as in Section 5.1.
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Normal Forms of Spiking Neural P Systems With Anti-Spikes
IEEE Transactions on Nanobioscience, 2012Tao Song +5 more
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On the Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems
, 1936J. Williamson
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