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Normal forms

Mathematics and Computers in Simulation, 1998
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Equivariant Nonautonomous Normal Forms

Qualitative Theory of Dynamical Systems, 2021
For a nonautonomous dynamics with discrete time, the authors show that if the dynamics is equivariant (respectively, reversible), then any normal form, as well as the coordinate change bringing the dynamics into this normal form, have equivariance (respectively, reversibility) properties.
Luis Barreira, Claudia Valls
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Boyce–Codd normal form and object normal forms

Information Processing Letters, 1989
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Maximal Monoids of Normal Form

Fundamenta Informaticae, 1982
In this paper, a characterization of the sets of normal forms which are monoids with respect to the composition combinator is obtained as application of the type theory to λ-calculus developed in [5]. The main result is that there is a monoid of normal form which is maximal in the sense that all extensions lead to terms without normal forms.
DEZANI, Mariangiola, F. Ermine
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Jordan Normal Form

2012
The goal of this chapter is a more complete study of linear transformations of a complex or real vector space to itself, including the investigation of nondiagonalizable transformations. The Jordan normal forms for complex and real vector spaces are established.
Igor R. Shafarevich, Alexey O. Remizov
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Code Normal Forms

29th Annual IEEE/NASA Software Engineering Workshop, 2006
Because of their strong economic impact, complexity and maintainability are among the most widely used terms in software engineering. But, they are also among the most weakly understood. A multitude of software metrics attempts to analyze complexity and a proliferation of different definitions of maintainability can be found in text books and corporate
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Normal Forms

2021
Peter De Maesschalck   +2 more
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Shegalkin Normal Forms

2004
The normal forms discussed in this chapter are based on XOR and EQU as output connectives. The XOR-normal form is obscurely ascribed to Reed and Muller. Yet, as it seems to have been first considered and discussed systematically by Shegalkin [1927] I feel it a matter of fairness to call it and its dual a Shegalkin normal form.
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Semiclassical Normal Forms

2004
Given a classical Hamiltonian function having an absolute minimum, we consider the problem of describing in the semiclassical limit the lowest part of the spectrum of the corresponding quantum operator. To this end we present an extension of the classical Birkhoff normal form to the semiclassical context and we use it to deduce spectral information on ...
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