Search results for " infinite"
showing 10 items of 21 documents
Algebras of unbounded operators and physical applications: a survey
2009
After a historical introduction on the standard algebraic approach to quantum mechanics of large systems we review the basic mathematical aspects of the algebras of unbounded operators. After that we discuss in some details their relevance in physical applications.
On deformation of Poisson manifolds of hydrodynamic type
2001
We study a class of deformations of infinite-dimensional Poisson manifolds of hydrodynamic type which are of interest in the theory of Frobenius manifolds. We prove two results. First, we show that the second cohomology group of these manifolds, in the Poisson-Lichnerowicz cohomology, is ``essentially'' trivial. Then, we prove a conjecture of B. Dubrovin about the triviality of homogeneous formal deformations of the above manifolds.
Infinitely many solutions for a perturbed p-Laplacian boundary value problem with impulsive effects
2017
In this paper, we deal with the existence of weak solutions for a perturbed p-Laplacian boundary value problem with impulsive effects. More precisely, the existence of an exactly determined open interval of positive parameters for which the problem admits infinitely many weak solutions is established. Our proofs are based on variational methods.
The Infinite-Valued Łukasiewicz Logic and Probability
2017
The paper concerns the algebraic structure of the set of cumulative distribution functions as well as the relationship between the resulting algebra and the infinite-valued Łukasiewicz algebra. The paper also discusses interrelations holding between the logical systems determined by the above algebras. Zadanie „ Wdrożenie platformy Open Journal System dla czasopisma „ Bulletin of the Section of Logic” finansowane w ramach umowy 948/P-DUN/2016 ze środków Ministra Nauki i Szkolnictwa Wyższego przeznaczonych na działalność upowszechniającą naukę.
Infinitely many solutions for a mixed boundary value problem
2010
The existence of infinitely many solutions for a mixed boundary value problem is established. The approach is based on variational methods.
On the fixed ends of hyperbolic translations of infinite graphs
2009
Let X be an infinite, connected, locally finite and vertex-transitive graph with infinitely many ends and let G be a subgroup of Aut(X) which acts transitively on X. In this note we provide a necessary and sufficient condition for the existence of a hyperbolic translation g in G with fixed ends in two prescribed open subsets of the space of ends of X. We also give an explicit combinatorial construction of the hyperbolic translation g in the special case where X is a (right) Cayley graph of a (non-abelian) free group of finite type G.
La parola chiave «infinito» nello studio della natura sviluppato dai presocratici
2018
Il concetto di ‘infinito’ sta alla base della ‘fisiologia’, ovvero dell’indagine sulla Physis-Natura, sviluppata dai presocratici a partire dalla Scuola di Mileto sino alla Scuola di Abdera. Sia i primi pensatori della Ionia, a cominciare da Anassimandro, sia gli atomisti con a capo Democrito, infatti, hanno contribuito a elaborare la prima forma di ‘filosofia’ incentrata sulle parole chiave «infinito» e «finito». Alla luce di questi concetti, andrebbe allora rivisitata la filosofia del periodo ellenico ed ellenistico-romano per ritrovare le fondamenta della ‘scienza della natura’ nella sua duplice connotazione di fisica e di matematica. La diade infinito-finito, inoltre, potrebbe essere po…
In vitro evaluation of poloxamer in situ forming gels for bedaquiline fumarate salt and pharmacokinetics following intramuscular injection in rats
2019
Graphical abstract
Is recursion language-specific? Evidence of recursive mechanisms in the structure of intentional action
2014
In their 2002 seminal paper Hauser, Chomsky and Fitch hypothesize that recursion is the only human-specific and language-specific mechanism of the faculty of language. While debate focused primarily on the meaning of recursion in the hypothesis and on the human-specific and syntax-specific character of recursion, the present work focuses on the claim that recursion is language-specific. We argue that there are recursive structures in the domain of motor intentionality by way of extending John R. Searle's analysis of intentional action. We then discuss evidence from cognitive science and neuroscience supporting the claim that motor-intentional recursion is language-independent and suggest so…
Observer-based H∞ control on stochastic nonlinear systems with time-delay and actuator nonlinearity
2013
Abstract In this paper, an observer-based H ∞ controller is designed for a class of extended Markov jump systems subject to time-delay and actuator saturation nonlinearity. Gradient linearization procedure is employed to describe such nonlinear systems by several linear Markov jump systems. Next, a mode-dependent Lyapunov function is constructed for these linear systems, and a sufficient condition is derived to make them stochastically stable, and then, a continuous gain-scheduled approach is applied to design a continuous nonlinear observer-based controller on the entire extended nonlinear jump system. A simulation example is given to illustrate the effectiveness of developed techniques.