Results 51 to 60 of about 341 (183)
Maximally Atomic Languages [PDF]
The atoms of a regular language are non-empty intersections of complemented and uncomplemented quotients of the language. Tight upper bounds on the number of atoms of a language and on the quotient complexities of atoms are known.
Janusz Brzozowski, Gareth Davies
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The relation of semiadjacency on ∩-semigroups of transformations [PDF]
We consider two relations on a $\cap$-semigroup of partial functions of a given set: the inclusion of domains and the semiadjacencity (i.e., the inclusion of the image of the first function into the domain of the second), which characterized with an abstract point of view using the elementary system of axioms, i.e., system conditions, recorded in the ...
Dudek, Wieslaw A. +1 more
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On the theories classified by an étendue
Abstract We give a model‐theoretic characterisation of the geometric theories classified by étendues—the ‘locally localic’ topoi. They are the theories where each model is determined, syntactically and semantically, by any witness of a fixed collection of formulae.
Joshua L. Wrigley
wiley +1 more source
a-minimal sets and related topics in transformation semigroups (II)
We give some generalizations of proximal relation and distal structure relation of a transformation semigroup in terms of A-minimal¯ sets and A-minimal¯¯ sets instead of minimal right ideals and conclude similar results.
Masoud Sabbaghan +1 more
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Extremal rate of convergence in continuous dynamics
Abstract This paper deals with semigroups of holomorphic self‐maps of the upper half‐plane that exhibit an extremal (i.e., the slowest possible) rate of convergence to their Denjoy–Wolff point. The main novelty lies in the parabolic case of zero hyperbolic step.
Francisco J. Cruz‐Zamorano +1 more
wiley +1 more source
Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley +1 more source
Regularity and abundance on semigroups of partial transformations with invariant set
Let P(X)P\left(X) be a partial transformation semigroup on a non-empty set XX. For a fixed non-empty subset YY of XX, let PT¯(X,Y)={α∈P(X)∣(domα∩Y)α⊆Y}.\overline{PT}\left(X,Y)=\left\{\alpha \in P\left(X)| \left({\rm{dom}}\hspace{0.33em}\alpha \cap Y ...
Pantarak Thapakorn, Chaiya Yanisa
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Long‐Time Solvability and Asymptotics for the 3D Rotating MHD Equations
ABSTRACT We consider the initial value problem for the 3D incompressible rotating MHD equations around a constant magnetic field. We prove the long‐time existence and uniqueness of solutions for small viscosity coefficient and high rotating speed. Moreover, we investigate the asymptotic behavior of solutions in the limit of vanishing viscosity and fast
Hiroki Ohyama
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Transformation Semigroups and Their Applications
In this chapter we present transformation semigroups and their applications. We begin with Klein's approach to geometry based on invariants of transformation groups. Then we present symmetry groups in chemistry and in classical mechanics. Next we introduce one-parameter semigroups of transformations and their applications in ergodic theory.
Pichór, Katarzyna, Rudnicki, Ryszard
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From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source

