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Добірка наукової літератури з теми "Bernoulli systems"

Автор: Grafiati

Опубліковано: 14 грудня 2024

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Статті в журналах з теми "Bernoulli systems"

GERBER, MARLIES, and PHILIPP KUNDE. "Loosely Bernoulli odometer-based systems whose corresponding circular systems are not loosely Bernoulli." Ergodic Theory and Dynamical Systems 42, no. 3 (October 1, 2021): 917–73. http://dx.doi.org/10.1017/etds.2021.73.

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AbstractForeman and Weiss [Measure preserving diffeomorphisms of the torus are unclassifiable. Preprint, 2020, arXiv:1705.04414] obtained an anti-classification result for smooth ergodic diffeomorphisms, up to measure isomorphism, by using a functor $\mathcal {F}$ (see [Foreman and Weiss, From odometers to circular systems: a global structure theorem. J. Mod. Dyn.15 (2019), 345–423]) mapping odometer-based systems, $\mathcal {OB}$ , to circular systems, $\mathcal {CB}$ . This functor transfers the classification problem from $\mathcal {OB}$ to $\mathcal {CB}$ , and it preserves weakly mixing extensions, compact extensions, factor maps, the rank-one property, and certain types of isomorphisms. Thus it is natural to ask whether $\mathcal {F}$ preserves other dynamical properties. We show that $\mathcal {F}$ does not preserve the loosely Bernoulli property by providing positive and zero-entropy examples of loosely Bernoulli odometer-based systems whose corresponding circular systems are not loosely Bernoulli. We also construct a loosely Bernoulli circular system whose corresponding odometer-based system has zero entropy and is not loosely Bernoulli.

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Chernov, N. I., and C. Haskell. "Nonuniformly hyperbolic K-systems are Bernoulli." Ergodic Theory and Dynamical Systems 16, no. 1 (February 1996): 19–44. http://dx.doi.org/10.1017/s0143385700008695.

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AbstractWe prove that those non-uniformly hyperbolic maps and flows (with singularities) that enjoy the K-property are also Bernoulli. In particular, many billiard systems, including those systems of hard balls and stadia that have the K-property, and hyperbolic billiards, such as the Lorentz gas in any dimension, are Bernoulli. We obtain the Bernoulli property for both the billiard flows and the associated maps on the boundary of the phase space.

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Filipovic, Mirjana. "New form of the Euler-Bernoulli rod equation applied to robotic systems." Theoretical and Applied Mechanics 35, no. 4 (2008): 381–406. http://dx.doi.org/10.2298/tam0804381f.

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This paper presents a theoretical background and an example of extending the Euler-Bernoulli equation from several aspects. Euler-Bernoulli equation (based on the known laws of dynamics) should be supplemented with all the forces that are participating in the formation of the bending moment of the considered mode. The stiffness matrix is a full matrix. Damping is an omnipresent elasticity characteristic of real systems, so that it is naturally included in the Euler-Bernoulli equation. It is shown that Daniel Bernoulli's particular integral is just one component of the total elastic deformation of the tip of any mode to which we have to add a component of the elastic deformation of a stationary regime in accordance with the complexity requirements of motion of an elastic robot system. The elastic line equation mode of link of a complex elastic robot system is defined based on the so-called 'Euler-Bernoulli Approach' (EBA). It is shown that the equation of equilibrium of all forces present at mode tip point ('Lumped-mass approach' (LMA)) follows directly from the elastic line equation for specified boundary conditions. This, in turn, proves the essential relationship between LMA and EBA approaches. In the defined mathematical model of a robotic system with multiple DOF (degree of freedom) in the presence of the second mode, the phenomenon of elasticity of both links and joints are considered simultaneously with the presence of the environment dynamics - all based on the previously presented theoretical premises. Simulation results are presented. .

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ORNSTEIN, DONALD, and BENJAMIN WEISS. "On the Bernoulli nature of systems with some hyperbolic structure." Ergodic Theory and Dynamical Systems 18, no. 2 (April 1998): 441–56. http://dx.doi.org/10.1017/s0143385798100354.

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It is shown that systems with hyperbolic structure have the Bernoulli property. Some new results on smooth cross-sections of hyperbolic Bernoulli flows are also derived. The proofs involve an abstract version of our original methods for showing that the geodesic flow on surfaces of negative curvature are Bernoulli.

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LIAO, GANG, WENXIANG SUN, EDSON VARGAS, and SHIROU WANG. "Approximation of Bernoulli measures for non-uniformly hyperbolic systems." Ergodic Theory and Dynamical Systems 40, no. 1 (May 11, 2018): 233–47. http://dx.doi.org/10.1017/etds.2018.33.

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An invariant measure is called a Bernoulli measure if the corresponding dynamics is isomorphic to a Bernoulli shift. We prove that for$C^{1+\unicode[STIX]{x1D6FC}}$diffeomorphisms any weak mixing hyperbolic measure could be approximated by Bernoulli measures. This also holds true for$C^{1}$diffeomorphisms preserving a weak mixing hyperbolic measure with respect to which the Oseledets decomposition is dominated.

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DOOLEY, A. H., V. YA GOLODETS, D. J. RUDOLPH, and S. D. SINEL’SHCHIKOV. "Non-Bernoulli systems with completely positive entropy." Ergodic Theory and Dynamical Systems 28, no. 1 (February 2008): 87–124. http://dx.doi.org/10.1017/s014338570700034x.

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AbstractA new approach to actions of countable amenable groups with completely positive entropy (cpe), allowing one to answer some basic questions in this field, was recently developed. The question of the existence of cpe actions which are not Bernoulli was raised. In this paper, we prove that every countable amenable groupG, which contains an element of infinite order, has non-Bernoulli cpe actions. In fact we can produce, for any$h \in (0, \infty ]$, an uncountable family of cpe actions of entropyh, which are pairwise automorphically non-isomorphic. These actions are given by a construction which we call co-induction. This construction is related to, but different from the standard induced action. We study the entropic properties of co-induction, proving that ifαGis co-induced from an actionαΓof a subgroup Γ, thenh(αG)=h(αΓ). We also prove that ifαΓis a non-Bernoulli cpe action of Γ, thenαGis also non-Bernoulli and cpe. Hence the problem of finding an uncountable family of pairwise non-isomorphic cpe actions of the same entropy is reduced to one of finding an uncountable family of non-Bernoulli cpe actions of$\mathbb Z$, which pairwise satisfy a property we call ‘uniform somewhat disjointness’. We construct such a family using refinements of the classical cutting and stacking methods.

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Barbieri, Giuseppina, and Giacomo Lenzi. "Entropy of MV-algebraic dynamical systems: An example." Mathematica Slovaca 69, no. 2 (April 24, 2019): 267–74. http://dx.doi.org/10.1515/ms-2017-0221.

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Abstract We give examples showing that the Kolmogorov-Sinai entropy generator theorem is false for both upper and lower Riesz entropy of MV-algebraic dynamical systems, both two sided (i.e., analogous to two sided Bernoulli shifts) and one sided (i.e., analogous to one sided Bernoulli shifts).

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Nicol, Matthew. "Induced maps of hyperbolic Bernoulli systems." Discrete & Continuous Dynamical Systems - A 7, no. 1 (2001): 147–54. http://dx.doi.org/10.3934/dcds.2001.7.147.

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Beebee, John. "Bernoulli Numbers and Exact Covering Systems." American Mathematical Monthly 99, no. 10 (December 1992): 946. http://dx.doi.org/10.2307/2324488.

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Akaishi, A., M. Hirata, K. Yamamoto, and A. Shudo. "Meeting time distributions in Bernoulli systems." Journal of Physics A: Mathematical and Theoretical 44, no. 37 (August 26, 2011): 375101. http://dx.doi.org/10.1088/1751-8113/44/37/375101.

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Дисертації з теми "Bernoulli systems"

Bishop, Michael Anthony. "Quantum Systems in Bernoulli Potentials." Diss., The University of Arizona, 2013. http://hdl.handle.net/10150/293431.

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Quantum mechanics is a theory developed to explain both particle and wave-like properties of small matter such as light and electrons. The consequences of the theory can be counter-intuitive but lead to mathematical and physical theory rich in fascinating phenomena and challenging questions. This dissertation investigates the nature of quantum systems in Bernoulli distributed random potentials for systems on the one dimensional lattice {0, 1, ..., L, L+1} ⊂ Z in the large system limit L → ∞. For single particle systems, the behavior of the low energy states is shown to be approximated by systems where positive potential is replaced by infinite potential. The approximate shape of these states is described, the asymptotics of their eigenvalues are calculated in the large system limit L → ∞, and a Lifschitz tail estimate on the sparsity of low energy states is proven. For interacting multi-particle systems, a Lieb-Liniger model with Bernoulli distributed potential is studied in the Gross-Pitaevskii approximation. First, to investigate localization in these settings, a general inequality is proven to bound from below the support of the mean-field. The bound depends on the per particle energy, number of particles, and interaction strength. Then, the ground state for the one-dimensional lattice with Bernoulli potential is studied in the large system limit. Specifically, the case where the product of interaction strength and particle density is near zero is considered to investigate whether localization can be recovered.

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Komori, Yasushi, Kohji Matsumoto, and Hirofumi Tsumura. "Zeta and L-functions and Bernoulli polynomials of root systems." Japan Academy, 2008. http://hdl.handle.net/2237/13843.

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Tillich, Daniel, and Christoph Lehmann. "Estimation in discontinuous Bernoulli mixture models applicable in credit rating systems with dependent data." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-222582.

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Objective: We consider the following problem from credit risk modeling: Our sample (Xi; Yi), 1 < i < n, consists of pairs of variables. The first variable Xi measures the creditworthiness of individual i. The second variable Yi is the default indicator of individual i. It has two states: Yi = 1 indicates a default, Yi = 0 a non-default. A default occurs, if individual i cannot meet its contractual credit obligations, i. e. it cannot pay back its outstandings regularly. In afirst step, our objective is to estimate the threshold between good and bad creditworthiness in the sense of dividing the range of Xi into two rating classes: One class with good creditworthiness and a low probability of default and another class with bad creditworthiness and a high probability of default. Methods: Given observations of individual creditworthiness Xi and defaults Yi, the field of change point analysis provides a natural way to estimate the breakpoint between the rating classes. In order to account for dependency between the observations, the literature proposes a combination of three model classes: These are a breakpoint model, a linear one-factor model for the creditworthiness Xi, and a Bernoulli mixture model for the defaults Yi. We generalize the dependency structure further and use a generalized link between systematic factor and idiosyncratic factor of creditworthiness. So the systematic factor cannot only change the location, but also the form of the distribution of creditworthiness. Results: For the case of two rating classes, we propose several estimators for the breakpoint and for the default probabilities within the rating classes. We prove the strong consistency of these estimators in the given non-i.i.d. framework. The theoretical results are illustrated by a simulation study. Finally, we give an overview of research opportunities.

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Tsumura, Hirofumi, Kohji Matsumoto, and Yasushi Komori. "A survey on the theory of multiple Bernoulli polynomials and multiple L-functions of root systems." Research Institute for Mathematical Sciences , Kyoto University, 2011. http://hdl.handle.net/2237/20334.

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Liu, Yang. "MODELING AND ANALYSIS OF SPLIT AND MERGE PRODUCTION SYSTEMS." UKnowledge, 2008. http://uknowledge.uky.edu/gradschool_theses/523.

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Many production systems have split and merge operations to increase production capac- ity and variety, improve product quality, and implement product control and scheduling policies. This thesis presents analytical methods to model and analyze split and merge production systems with Bernoulli and exponential reliability machines under circulate, priority and percentage policies. The recursive procedures for performance analysis are de- rived, and the convergence of the procedures and uniqueness of the solutions, along with the structural properties, are proved analytically, and the accuracy of the estimation is justi¯ed numerically with high precision. In addition, comparisons among the e®ects of di®erent policies in system performance are carried out.

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Tsumura, Hirofumi, Kohji Matsumoto, and Yasushi Komori. "On Witten multiple zeta-functions associated with semisimple Lie algebras II." 日本数学会, 2010. http://hdl.handle.net/2237/20065.

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Evans, Katie Allison. "Reduced Order Controllers for Distributed Parameter Systems." Diss., Virginia Tech, 2003. http://hdl.handle.net/10919/11063.

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Distributed parameter systems (DPS) are systems defined on infinite dimensional spaces. This includes problems governed by partial differential equations (PDEs) and delay differential equations. In order to numerically implement a controller for a physical system we often first approximate the PDE and the PDE controller using some finite dimensional scheme. However, control design at this level will typically give rise to controllers that are inherently large-scale. This presents a challenge since we are interested in the design of robust, real-time controllers for physical systems. Therefore, a reduction in the size of the model and/or controller must take place at some point. Traditional methods to obtain lower order controllers involve reducing the model from that for the PDE, and then applying a standard control design technique. One such model reduction technique is balanced truncation. However, it has been argued that this type of method may have an inherent weakness since there is a loss of physical information from the high order, PDE approximating model prior to control design. In an attempt to capture characteristics of the PDE controller before the reduction step, alternative techniques have been introduced that can be thought of as controller reduction methods as opposed to model reduction methods. One such technique is LQG balanced truncation. Only recently has theory for LQG balanced truncation been developed in the infinite dimensional setting. In this work, we numerically investigate the viability of LQG balanced truncation as a suitable means for designing low order, robust controllers for distributed parameter systems. We accomplish this by applying both balanced reduction techniques, coupled with LQG, MinMax and central control designs for the low order controllers, to the cable mass, Klein-Gordon, and Euler-Bernoulli beam PDE systems. All numerical results include a comparison of controller performance and robustness properties of the closed loop systems.
Ph. D.

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Baruah, Monita. "Analysis of some batch arrival queueing systems with balking, reneging, random breakdowns, fluctuating modes of service and Bernoulli schedulled server vacations." Thesis, Brunel University, 2017. http://bura.brunel.ac.uk/handle/2438/14524.

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The purpose of this research is to investigate and analyse some batch arrival queueing systems with Bernoulli scheduled vacation process and single server providing service. The study aims to explore and extend the work done on vacation and unreliable queues with a combination of assumptions like balking and re-service, reneging during vacations, time homogeneous random breakdowns and fluctuating modes of service. We study the steady state properties, and also transient behaviour of such queueing systems. Due to vacations the arriving units already in the system may abandon the system without receiving any service (reneging). Customers may decide not to join the queue when the server is in either working or vacation state (balking). We study this phenomenon in the framework of two models; a single server with two types of parallel services and two stages of service. The model is further extended with re-service offered instantaneously. Units which join the queue but leave without service upon the absence of the server; especially due to vacation is quite a natural phenomenon. We study this reneging behaviour in a queueing process with a single server in the context of Markovian and non-Markovian service time distribution. Arrivals are in batches while each customer can take the decision to renege independently. The non-Markovian model is further extended considering service time to follow a Gamma distribution and arrivals are due to Geometric distribution. The closed-form solutions are derived in all the cases. Among other causes of service interruptions, one prime cause is breakdowns. We consider breakdowns to occur both in idle and working state of the server. In this queueing system the transient and steady state analysis are both investigated. Applying the supplementary variable technique, we obtain the probability generating function of queue size at random epoch for the different states of the system and also derive some performance measures like probability of server‟s idle time, utilization factor, mean queue length and mean waiting time. The effect of the parameters on some of the main performance measures is illustrated by numerical examples to validate the analytical results obtained in the study. The Mathematica 10 software has been used to provide the numerical results and presentation of the effects of some performance measures through plots and graphs.

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Khalaf, Rehab F. "On some queueing systems with server vacations, extended vacations, breakdowns, delayed repairs and stand-bys." Thesis, Brunel University, 2012. http://bura.brunel.ac.uk/handle/2438/6416.

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This research investigates a batch arrival queueing system with a Bernoulli scheduled vacation and random system breakdowns. It is assumed that the repair process does not start immediately after the breakdown. Consequently there maybe a delay in starting repairs. After every service completion the server may go on an optional vacation. When the original vacation is completed the server has the option to go on an extended vacation. It is assumed that the system is equipped with a stand-by server to serve the customers during the vacation period of the main server as well as during the repair process. The service times, vacation times, repair times, delay times and extended vacation times are assumed to follow different general distributions while the breakdown times and the service times of the stand-by server follow an exponential distribution. By introducing a supplementary variable we are able to obtain steady state results in an explicit closed form in terms of the probability generating functions. Some important performance measures including; the average length of the queue, the average number of customers in the system, the mean response time, and the value of the traffic intensity are presented. The professional MathCad 2001 software has been used to illustrate the numerical results in this study.

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Tartibu, Kwanda. "A simplified analysis of the vibration of variable length blade as might be used in wind turbine systems." Thesis, Cape Peninsula University of Technology, 2008. http://hdl.handle.net/20.500.11838/1244.

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Vibration is an inherent phenomenon in dynamic mechanical systems. The work undertaken in this thesis is to identify natural frequencies of a variable length blade. Therefore designers can ensure that natural frequencies will not be close to the frequency (or integer multiples) of the main excitation forces in order to avoid resonance. For a wind turbine blade, the frequency range between 0.5 Hz and 30 Hz is relevant. The turbine blade is approximated by a cantilever, therefore, it is fully constrained where attached to a turbine shaft/hub. Flap-wise, edge-wise and torsional natural frequencies are calculated. The MATLAB program “BEAMANALYSIS.m” has been developed for the finite element analysis of a one dimensional model of the beam. Similarly, a three dimensional model of the beam has been developed in a finite element program Unigraphics NX5. The results found using the MATLAB program are compared with those found with NX5. Satisfactory agreement between the results is found for frequencies up to almost 500 Hz. Additionally, the frequencies one might expect in an experiment are identified. Experimental modal analysis has been performed on a uniform and stepped beam made of mild steel to extract the first five flap-wise natural frequencies. The results found have been compared to numerical results and the exact solution of an Euler-Bernoulli beam. Concurrence is found for the frequency range of interest. Although, some discrepancies exist at higher frequencies (above 500 Hz), finite element analysis proves to be reliable for calculating natural frequencies. Finally, the fixed portion and moveable portion of the variable length blade are approximated respectively by a hollow and a solid beam which can be slid in and out. Ten different configurations of the variable length blade, representing ten different positions of the moveable portion are investigated. A MATLAB program named VARIBLADEANALYSIS.m was developed to predict natural frequencies. Similarly three dimensional models of the variable length blade have been developed in the finite element program Unigraphics NX5.
This work was supported by the Research office of CPUT.

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Книги з теми "Bernoulli systems"

Vol'vak, Sergey. Hydraulics. Workshop. ru: INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1045068.

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Study guide corresponds to the program discipline "Hydraulics". Consists of two parts and is for carrying out practical and laboratory works. The first part provides material on the basics of the calculation of hydraulic machines, hydraulic drives of agricultural machinery, systems of land reclamation and hydraulic transport for development of skills of application of theoretical information to solve specific technical problems and development practices of hydraulic calculations. The second part contains material for the study of the methods and instruments for measuring pressure, the study of the equation of Bernoulli, determination of hydraulic resistance, the study of the structure and principles of operation of positive displacement pumps and dynamic-type, cylinders, volumetric hydraulic drive and hydrodynamic transmission elements and schemes of irrigation systems and agricultural water supply. To conduct practical and laboratory classes for students of all forms of training in the direction of training 35.03.06 "Agroengineering", as well as for graduate students, teachers and technical workers of agriculture.

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Thurner, Stefan, Rudolf Hanel, and Peter Klimekl. Probability and Random Processes. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198821939.003.0002.

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Phenomena, systems, and processes are rarely purely deterministic, but contain stochastic,probabilistic, or random components. For that reason, a probabilistic descriptionof most phenomena is necessary. Probability theory provides us with the tools for thistask. Here, we provide a crash course on the most important notions of probabilityand random processes, such as odds, probability, expectation, variance, and so on. Wedescribe the most elementary stochastic event—the trial—and develop the notion of urnmodels. We discuss basic facts about random variables and the elementary operationsthat can be performed on them. We learn how to compose simple stochastic processesfrom elementary stochastic events, and discuss random processes as temporal sequencesof trials, such as Bernoulli and Markov processes. We touch upon the basic logic ofBayesian reasoning. We discuss a number of classical distribution functions, includingpower laws and other fat- or heavy-tailed distributions.

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Частини книг з теми "Bernoulli systems"

Feinsilver, Philip, and René Schott. "Bernoulli Systems." In Algebraic Structures and Operator Calculus, 167–95. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1648-0_7.

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Li, Jingshan, and Semyon M. Meerkov. "Closed Bernoulli Lines." In Production Systems Engineering, 1–25. Boston, MA: Springer US, 2008. http://dx.doi.org/10.1007/978-0-387-75579-3_7.

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Driebe, Dean J. "The Bernoulli Map." In Nonlinear Phenomena and Complex Systems, 19–43. Dordrecht: Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-017-1628-4_3.

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Li, Jingshan, and Semyon M. Meerkov. "Analysis of Bernoulli Lines." In Production Systems Engineering, 1–44. Boston, MA: Springer US, 2008. http://dx.doi.org/10.1007/978-0-387-75579-3_4.

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Li, Jingshan, and Semyon M. Meerkov. "Transient Behavior of Bernoulli Lines." In Production Systems Engineering, 1–25. Boston, MA: Springer US, 2008. http://dx.doi.org/10.1007/978-0-387-75579-3_10.

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Li, Jingshan, and Semyon M. Meerkov. "Continuous Improvement of Bernoulli Lines." In Production Systems Engineering, 1–33. Boston, MA: Springer US, 2008. http://dx.doi.org/10.1007/978-0-387-75579-3_5.

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Li, Jingshan, and Semyon M. Meerkov. "Design of Lean Bernoulli Lines." In Production Systems Engineering, 1–20. Boston, MA: Springer US, 2008. http://dx.doi.org/10.1007/978-0-387-75579-3_6.

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Li, Jingshan, and Semyon M. Meerkov. "Product Quality in Bernoulli Lines." In Production Systems Engineering, 1–45. Boston, MA: Springer US, 2008. http://dx.doi.org/10.1007/978-0-387-75579-3_8.

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Smorodinsky, Meir. "Information, Entropy and Bernoulli Systems." In Development of Mathematics, 1950–2000, 993–1012. Basel: Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8968-1_34.

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Li, Jingshan, and Semyon M. Meerkov. "Customer Demand Satisfaction in Bernoulli Lines." In Production Systems Engineering, 1–21. Boston, MA: Springer US, 2008. http://dx.doi.org/10.1007/978-0-387-75579-3_9.

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Тези доповідей конференцій з теми "Bernoulli systems"

Jones, George, and Ángel F. García-Fernández. "GOSPA-Driven Multi-Bernoulli Gaussian Sensor Management." In 2024 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems (MFI), 1–8. IEEE, 2024. http://dx.doi.org/10.1109/mfi62651.2024.10705781.

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Ruixin, W., Xunyuan Yin, X. Xiaodong, and Stevan Dubljevic. "Adaptive Boundary Observer Design for Euler-Bernoulli Beam Systems with Parameter Uncertainties." In 2024 American Control Conference (ACC), 5307–12. IEEE, 2024. http://dx.doi.org/10.23919/acc60939.2024.10644526.

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Hermann, Charlotte, Alexander Scheible, Michael Buchholz, and Klaus Dietmayer. "An Efficient Implementation of the Fast Product Multi-Sensor Labeled Multi-Bernoulli Filter." In 2024 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems (MFI), 1–8. IEEE, 2024. http://dx.doi.org/10.1109/mfi62651.2024.10705774.

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Filipovic, Mirjana. "Euler-Bernoulli equation today." In 2009 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2009). IEEE, 2009. http://dx.doi.org/10.1109/iros.2009.5353898.

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Tabatabaei Ardekani, Iman, Jari Kaipio, Neda Sakhaee, and Hamid Sharifzadeh. "Bayesian parameter estimation of Euler-Bernoulli beams." In Tenth International Conference on Signal Processing Systems, edited by Kezhi Mao and Xudong Jiang. SPIE, 2019. http://dx.doi.org/10.1117/12.2520452.

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Vila, Jeremy, and Philip Schniter. "Expectation-maximization Bernoulli-Gaussian approximate message passing." In 2011 45th Asilomar Conference on Signals, Systems and Computers. IEEE, 2011. http://dx.doi.org/10.1109/acssc.2011.6190117.

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"Bernoulli HMMs for Off-line Handwriting Recognition." In 8th International Workshop on Pattern Recognition in Information Systems. SciTePress - Science and and Technology Publications, 2008. http://dx.doi.org/10.5220/0001740400860092.

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Xu, Cong, Zishu He, and Lizhi Tang. "Bernoulli track-before-detect filter for passive radar." In Twelfth International Conference on Signal Processing Systems, edited by Jie Tian, Kezhi Mao, Dahong Qian, Yi Xie, and Yue Lyu. SPIE, 2021. http://dx.doi.org/10.1117/12.2589243.

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Filipovic, Mirjana, and Miomir Vukobratovic. "New interpretation of the Euler-Bernoulli equation." In 2008 6th International Symposium on Intelligent Systems and Informatics (SISY 2008). IEEE, 2008. http://dx.doi.org/10.1109/sisy.2008.4664967.

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Zhao, Yingbo, and Vijay Gupta. "Passivity-based feedback stabilization for Bernoulli jump nonlinear systems." In 2014 American Control Conference - ACC 2014. IEEE, 2014. http://dx.doi.org/10.1109/acc.2014.6858684.

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