Relevant bibliographies by topics / Parity equations

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Parity equations'

Author: Grafiati
Published: 4 June 2021
Last updated: 16 February 2022

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Journal articles on the topic "Parity equations"

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Gertler, Janos, Xiaowen Fang, Qiang Luo, and Mark Costin. "Direct Identification of Structured Parity Equations." IFAC Proceedings Volumes 27, no. 8 (July 1994): 1057–62. http://dx.doi.org/10.1016/s1474-6670(17)47848-7.

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Gertler, J. J., and R. Monajemy. "Generating Directional Residuals with Dynamic Parity Equations *." IFAC Proceedings Volumes 26, no. 2 (July 1993): 507–12. http://dx.doi.org/10.1016/s1474-6670(17)48318-2.

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Noh, Taewan, Warren F. Miller, and Jim E. Morel. "The Even-Parity and Simplified Even-Parity Transport Equations in Two-Dimensionalx-yGeometry." Nuclear Science and Engineering 123, no. 1 (May 1996): 38–56. http://dx.doi.org/10.13182/nse96-a24211.

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Puig, Vicenç, and Joseba Quevedo. "Passive robust fault detection using fuzzy parity equations." Mathematics and Computers in Simulation 60, no. 3-5 (September 2002): 193–207. http://dx.doi.org/10.1016/s0378-4754(02)00014-9.

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Gertler, J., Q. Luo, K. Anderson, and Xiaowen Fang. "Diagnosis of Plant Failures Using Orthogonal Parity Equations." IFAC Proceedings Volumes 23, no. 8 (August 1990): 361–66. http://dx.doi.org/10.1016/s1474-6670(17)51850-9.

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Ballé, Peter. "Fuzzy-model-based parity equations for fault isolation." Control Engineering Practice 7, no. 2 (February 1999): 261–70. http://dx.doi.org/10.1016/s0967-0661(98)00152-x.

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NASRI, M. H. FATHI, J. FRANCE, N. E. ODONGO, S. LOPEZ, A. BANNINK, and E. KEBREAB. "Modelling the lactation curve of dairy cows using the differentials of growth functions." Journal of Agricultural Science 146, no. 6 (November 21, 2008): 633–41. http://dx.doi.org/10.1017/s0021859608008101.

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SUMMARYDescriptions of entire lactations were investigated using six mathematical equations, comprising the differentials of four growth functions (logistic, Gompertz, Schumacher and Morgan) and two other equations (Wood and Dijkstra). The data contained monthly milk yield records from 70 first, 70 second and 75 third parity Iranian Holstein cows. Indicators of fit were model behaviour, statistical evaluation and biologically meaningful parameter estimates and lactation features. Analysis of variance with equation, parity and their interaction as factors and with cows as replicates was performed to compare goodness of fit of the equations. The interaction of equation and parity was not significant for any statistics, which showed that there was no tendency for one equation to fit a given parity better than other equations. Although model behaviour analysis showed better performance of growth functions than the Wood and Dijkstra equations in fitting the individual lactation curves, statistical evaluation revealed that there was no significant difference between the goodness of fit of the different equations. Evaluation of lactation features showed that the Dijkstra equation was able to estimate the initial milk yield and peak yield more accurately than the other equations. Overall evaluation of the different equations demonstrated the potential of the differentials of simple empirical growth functions used in the current study as equations for fitting monthly milk records of Holstein dairy cattle.
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Wilkey, Andrew, Joseph Suelzer, Yogesh Joglekar, and Gautam Vemuri. "Parity–Time Symmetry in Bidirectionally Coupled Semiconductor Lasers." Photonics 6, no. 4 (November 27, 2019): 122. http://dx.doi.org/10.3390/photonics6040122.

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We report on the numerical analysis of intensity dynamics of a pair of mutually coupled, single-mode semiconductor lasers that are operated in a configuration that leads to features reminiscent of parity–time symmetry. Starting from the rate equations for the intracavity electric fields of the two lasers and the rate equations for carrier inversions, we show how these equations reduce to a simple 2 × 2 effective Hamiltonian that is identical to that of a typical parity–time (PT)-symmetric dimer. After establishing that a pair of coupled semiconductor lasers could be PT-symmetric, we solve the full set of rate equations and show that despite complicating factors like gain saturation and nonlinearities, the rate equation model predicts intensity dynamics that are akin to those in a PT-symmetric system. The article describes some of the advantages of using semiconductor lasers to realize a PT-symmetric system and concludes with some possible directions for future work on this system.
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Höfling, T. "Detection of Parameter Variations by Continuous-Time Parity Equations." IFAC Proceedings Volumes 26, no. 2 (July 1993): 513–18. http://dx.doi.org/10.1016/s1474-6670(17)48319-4.

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Candau, José, Luís Javier de Miguel, and Javier García Ruiz. "Controller Reconfiguration System Using Parity Equations and Fuzzy Logic." IFAC Proceedings Volumes 30, no. 18 (August 1997): 1249–54. http://dx.doi.org/10.1016/s1474-6670(17)42568-7.

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Dissertations / Theses on the topic "Parity equations"

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Sumislawska, M. "Fault detection and diagnosis and unknown input reconstruction based on parity equations concept." Thesis, Coventry University, 2012. http://curve.coventry.ac.uk/open/items/c660a4ab-7312-4bda-8578-6114c9453366/1.

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There are two main threads of this thesis, namely, an unknown (unmeasurable) input reconstruction and fault detection and diagnosis. The developed methods are in the form of parity equations, i.e. finite impulse response filters of the available input and output measurements. In the first thread the design of parity equations for the purpose of an unknown input reconstruction of linear, time-invariant, discrete-time, stochastic systems is taken into consideration. An underlying assumption is that both measurable system inputs as well as the outputs can be subjected to noise, which leads to an errors-in-variables framework. The main contribution of the scheme is accommodation of the Lagrange multiplier method in order to minimise the influence of the noise on the unknown input estimate. Two potential applications of the novel input reconstruction method are proposed, which are a control enhancement of a hot strip steel rolling mill and an estimation of a pollutant level in a river. Furthermore, initial research is conducted in the field of the unknown input recon- struction for a class of nonlinear systems, namely, Hammerstein-Wiener systems, where a linear dynamic block is preceded and followed by a static nonlinear function. Many man-made as well as naturally occurring systems can be accurately described using Hammerstein-Wiener models. However, it is considered that not much attention has been paid to Hammerstein-Wiener systems in the errors-in-variables framework and in this thesis it is aimed to narrow this gap. The second thread considers a problem of robust (disturbance decoupled) fault de- tection as well as fault isolation and identification. Unmeasurable external stimuli, parameter variations or discrepancies between the system and the model act as distur- bances, which can obstruct the fault detection process and lead to false alarms. Thus, a fault detection filter needs to be decoupled from the disturbances. In this thesis the right eigenstructure assignment method used for the robust fault detection filter design is extended to systems with unstable invariant zeros. Another contribution re- gards the design of robust parity equations of any arbitrary order using both left and right eigenstructure assignment. Furthermore, a parity equation-based fault isolation and identification filter is designed which provides an estimate of the fault. A simple method for the calculation of thresholds whose violation indicates a fault occurrence is also proposed for the errors-in-variables framework.
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Andersson, Mattias, Vishwambhar Rathi, Ragnar Thobaben, Joerg Kliewer, and Mikael Skoglund. "Equivocation of Eve using two edge type LDPC codes for the binary erasure wiretap channel." KTH, Kommunikationsteori, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-50634.

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We consider transmission over a binary erasure wiretap channel using the code construction method introduced by Rathi et al. based on two edge type Low-Density Parity-Check (LDPC) codes and the coset encoding scheme. By generalizing the method of computing conditional entropy for standard LDPC ensembles introduced by Méasson, Montanari, and Urbanke to two edge type LDPC ensembles, we show how the equivocation for the wiretapper can be computed. We find that relatively simple constructions give very good secrecy performance and are close to the secrecy capacity.

Copyright 2010 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. QC 20120110

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Grewal, Karmjit Singh. "Model-based fault detection and control design - applied to a pneumatic Stewart-Gough platform." Thesis, Loughborough University, 2010. https://dspace.lboro.ac.uk/2134/6243.

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The safety and functionality of engineering systems can be affected adversely by faults or wear in system components. Therefore, methods for detecting such faults/wear and ameliorating their effects to avoid system failure are important. Designing schemes for the detection and diagnosis of faults is becoming increasingly important in engineering due to the complexity of modern industrial systems and growing demands for quality, cost efficiency, reliability, and the safety issue. In safety/mission critical applications, fault detection can be combined with accommodation/reconfiguration (after a fault) to achieve fault tolerance allowing the system to complete or abort its function in a way that is sub-optimal but does achieve the design objective. This thesis discusses research carried-out on the development and validation of a model-based fault detection and isolation (FDI) system for a pneumatically actuated Stewart platform. The Stewart-Gough platform provides six degrees of freedom consisting of three translational and three rotational degrees of freedom (x, y, z, pitch, roll, & yaw). As these platforms can be fast acting (rapid motion) and can handle reasonable loads, they can become dangerous, especially when fault(s) in the platform mechanism, drivetrain or control system occur. Therefore, as a safety critical application it is imperative that fault tolerant schemes are applied in order to provide a safe working environment. The design concept of the FDI scheme for the full Stewart-Gough platform is first designed using a single cylinder set-up. This modular concept is adopted so that a robust fault tolerant control scheme can be designed basically off-line (i.e. not attached to the Stewart Gough platform). This approach is adopted as requirements are easier to understand using a single cylinder set-up. The modular design approach subdivides the whole system into smaller sections (modules) that can be independently created and then used in the complete Stewart-Gough platform. The main contributions of the work are that a pneumatically actuated Stewart-Gough platform has been designed, built, and commissioned. A mathematical model has been developed and has been validated against experimental results. Two control approaches have been designed and compared. A fundamental comparative study of parity equations and Kalman filter observer banks for fault detection in pneumatic actuators has been conducted. The parity equations and Kalman filter approaches have been extended to provide a combined fault detection scheme. The FDI and control schemes have been combined in a modular Fault Tolerant Control (FTC) scheme for a pneumatic cylinder. The resulting FTC scheme has been validated by experimentation and demonstrated on the single cylinder test rig. The FTC scheme has been extended to all 6 cylinders (and including fault management at top level) of Stewart-Gough platform. The FTC scheme has been validated by experimentation and demonstrated on the Stewart-Gough platform test rig.
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Frisk, Erik. "Model-based fault diagnosis applied to an SI-Engine." Thesis, Linköpings universitet, Fordonssystem, 1996. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-141630.

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A diagnosis procedure is an algorithm to detect and locate (isolate) faulty components in a dynamic process. In 1994 the California Air Resource Board released a regulation, called OBD II, demanding a thorough diagnosis system on board automotive vehicles. These legislative demands indicate that diagnosis will become increasingly important for automotive engines in the next few years. To achieve diagnosis, redundancy has to be included in the system. This redundancy can be either hardware redundancy or analytical redundancy. Hardware redundancy, e.g. an extra sensor or extra actuator, can be space consuming or expensive. Methods based on analytical redundancy need no extra hardware, the redundancy here is generated from a process model instead. In this thesis, approaches utilizing analytical redundancy is examined. A literature study is made, surveying a number of approaches to the diagnosis problem. Three approaches, based on both linear and non-linear models, are selected and further analyzed and complete design examples are performed. A mathematical model of an SI-engine is derived to enable simulations of the designed methods.
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Sirimachan, Parinya [Verfasser]. "Solutions to the Geodesic Equation in Cosmic String Spacetimes Geodesic solutions in Cosmic String Spacetimes / Parinya Sirimachan." Bremen : IRC-Library, Information Resource Center der Jacobs University Bremen, 2012. http://d-nb.info/1035219603/34.

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Loughran, Thomas Ivan Powell. ""A values based electorate?" : how do voters in West European democracies convert their political values into vote choice preferences?" Thesis, University of Manchester, 2016. https://www.research.manchester.ac.uk/portal/en/theses/a-values-based-electoratehow-do-voters-in-west-european-democracies-convert-their-political-values-into-vote-choice-preferences(b1716c93-c730-41e8-acfb-846bb2d51fcd).html.

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It has long been argued that underlying values should hold a central role in political analysis. This would seem particularly relevant in an era of de-alignment and catch-all parties in which political actors often make direct values orientated appeals to the electorate. With the expansion in appropriate data and measures available to empirical researchers, the last two decades have seen a substantial increase in the number of studies directly addressing the values-voting relationship. Values based explanations of vote choice have contributed to a more nuanced understanding of the processes underlying voter preferences and the structure of public opinion within democratic electorates. This existing empirical literature has generally focused on analysing the role of values on voting in single electoral contexts. While this approach has generated many useful findings that establish the role of values in differentiating political choice, it has only partially explored the contextual mechanisms through which values influence vote choice. This is necessary in order to understand under what political conditions values are likely to become more relevant to vote choice decisions. This thesis is an attempt to address three aspects of this gap in the cross-national research literature on values and voting using analyses of data from the 1990 and 2008 waves of the European Values Survey. Firstly it provides a cross-national analysis of core political values that enables a comparison of the role of values in structuring electoral competition across 15 West European countries. Secondly, it estimates the role that left-right political identity has in mediating the influence of values on vote choice using a structural path model. This provides a cross-national test of this mechanism and therefore assesses variation in the values-voting relationship across different national contexts. Thirdly, the thesis provides a systematic empirical analysis of the influence of political context on the values-voting relationship by testing the effect that macro level system factors, such as polarisation and the number of parties, have on the influence of values. The headline findings of the thesis are that political values are dynamic constructs that can demonstrate subtle variations in the preferences of voters across different electoral contexts. Political values have a multi-dimensional influence on electoral choice; with variation in voter preferences being highlighted by both value differentiation (having opposite preferences for the same value dimension) and emphasis (having a preference for different values). Left-right identity can act as both a mediator and a confounder of political values influence on vote choice. Political context is primarily relevant to the influence of values on voting through the content of supply side party competition as opposed to the structure of that competition. Overall, the study argues the findings show that supply side political context plays a crucial role in defining the parameters and strength of the values-voting relationship in each specific electoral arena.
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Wells, Daniel Patrick. "Predicting the Longevity of DVDR Media by Periodic Analysis of Parity, Jitter, and ECC Performance Parameters." BYU ScholarsArchive, 2008. https://scholarsarchive.byu.edu/etd/1530.

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For the last ten years, DVD-R media have played an important role in the storage of large amounts of digital data throughout the world. During this time it was assumed that the DVD-R was as long-lasting and stable as its predecessor, the CD-R. Several reports have surfaced over the last few years questioning the DVD-R's ability to maintain many of its claims regarding archival quality life spans. These reports have shown a wide range of longevity between the different brands. While some DVD-Rs may last a while, others may result in an early and unexpected failure. Compounding this problem is the lack of information available for consumers to know the quality of the media they own. While the industry works on devising a standard for labeling the quality of future media, it is currently up to the consumer to pay close attention to their own DVD-R archives and work diligently to prevent data loss. This research shows that through accelerated aging and the use of logistic regression analysis on data collected through periodic monitoring of disc read-back errors it is possible to accurately predict unrecoverable failures in the test discs. This study analyzed various measurements of PIE errors, PIE8 Sum errors, POF errors and jitter data from three areas of the disc: the whole disc, the region of the disc where it first failed as well as the last half of the disc. From this data five unique predictive equations were produced, each with the ability to predict disc failure. In conclusion, the relative value of these equations for end-of-life predictions is discussed.
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Wei, Xiaoli. "Control of McKean-Vlasov systems and applications." Thesis, Sorbonne Paris Cité, 2018. https://theses.md.univ-paris-diderot.fr/WEI_Xiaoli_2_complete_20181127.pdf.

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Cette thèse étudie le contrôle optimal de la dynamique de type McKean-Vlasov et ses applications en mathématiques financières. La thèse contient deux parties. Dans la première partie, nous développons la méthode de la programmation dynamique pour résoudre les problèmes de contrôle stochastique de type McKean-Vlasov. En utilisant les contrôles admissibles appropriés, nous pouvons reformuler la fonction valeur en fonction de la loi (resp. la loi conditionnelle) du processus comme seule variable d’état et obtenir la propriété du flot de la loi (resp. la loi conditionnelle) du processus, qui permettent d’obtenir en toute généralité le principe de la programmation dynamique. Ensuite nous obtenons l’équation de Bellman correspondante, en s’appuyant sur la notion de différentiabilité par rapport aux mesures de probabilité introduite par P.L. Lions [Lio12] et la formule d’Itô pour le flot de probabilité. Enfin nous montrons la propriété de viscosité et l’unicité de la fonction valeur de l’équation de Bellman. Dans le premier chapitre, nous résumons quelques résultats utiles du calcul différentiel et de l’analyse stochastique sur l’espace de Wasserstein. Dans le deuxième chapitre, nous considérons le contrôle optimal stochastique de système à champ moyen non linéaire en temps discret. Le troisième chapitre étudie le problème de contrôle optimal stochastique d’EDS de type McKean-Vlasov sans bruit commun en temps continu où les coefficients peuvent dépendre de la loi joint de l’état et du contrôle, et enfin dans le dernier chapitre de cette partie nous nous intéressons au contrôle optimal de la dynamique stochastique de type McKean-Vlasov en présence de bruit commun en temps continu. Dans la deuxième partie, nous proposons un modèle d’allocation de portefeuille robuste permettant l’incertitude sur la rentabilité espérée et la matrice de corrélation des actifs multiples, dans un cadre de moyenne-variance en temps continu. Ce problème est formulé comme un jeu différentiel à champ moyen. Nous montrons ensuite un principe de séparation pour le problème associé. Nos résultats explicites permettent de justifier quantitativement la sous-diversification, comme le montrent les études empiriques
This thesis deals with the study of optimal control of McKean-Vlasov dynamics and its applications in mathematical finance. This thesis contains two parts. In the first part, we develop the dynamic programming (DP) method for solving McKean-Vlasov control problem. Using suitable admissible controls, we propose to reformulate the value function of the problem with the law (resp. conditional law) of the controlled state process as sole state variable and get the flow property of the law (resp. conditional law) of the process, which allow us to derive in its general form the Bellman programming principle. Then by relying on the notion of differentiability with respect to probability measures introduced by P.L. Lions [Lio12], and Itô’s formula along measure-valued processes, we obtain the corresponding Bellman equation. At last we show the viscosity property and uniqueness of the value function to the Bellman equation. In the first chapter, we summarize some useful results of differential calculus and stochastic analysis on the Wasserstein space. In the second chapter, we consider the optimal control of nonlinear stochastic dynamical systems in discrete time of McKean-Vlasov type. The third chapter focuses on the stochastic optimal control problem of McKean-Vlasov SDEs without common noise in continuous time where the coefficients may depend upon the joint law of the state and control. In the last chapter, we are interested in the optimal control of stochastic McKean-Vlasov dynamics in the presence of common noise in continuous time.In the second part, we propose a robust portfolio selection model, which takes into account ambiguity about both expected rate of return and correlation matrix of multiply assets, in a continuous-time mean-variance setting. This problem is formulated as a mean-field type differential game. Then we derive a separation principle for the associated problem. Our explicit results provide an explanation to under-diversification, as documented in empirical studies
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Rogers, Darrin L. "Structural analysis of treatment and punishment attitudes toward offenders." Connect to resource, 2005. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1121749945.

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Novák, Jiří. "Návrh autopilota a letových řídících módů v prostředí Simulink." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2020. http://www.nusl.cz/ntk/nusl-416616.

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Tato diplomová práce je zaměřena na vývoj simulačního prostředí v Matlab/Simulink zvoleného letadla ve známém letovém režimu. Pozice a orientace letadla pohybujícího se ve vzduchu je popsána pohybovými rovnicemi se šesti stup\v{n}i volnosti. Soustava translačních, rotačních a kinematických rovnic tvoří soustavu devíti nelineárních diferenciálních rovnic prvního řádu. Tyto rovnice lze linearizovat okolo nějakého rovnovážného stavu, který budeme nazývat letovým režimem. Součástí simulačního prostředí je řídící systém letadla založený na PID regulaci. Základem je návrh autopilota, který řídí úhel podélného sklonu a úhel příčného náklonu. Součástí návrhu jsou takzvané „flight director\textquotedblright \phantom{s}m\'dy jako udržení výšky, volba kursu, regulace vertikální rychlosti, změna výšky, zachycení požadované výšky a navigační m\'{o}d založený na nelineárním navigačním zákonu. Optimalizace regulátorů za použití PSO algoritmu a Pareto optimalitě je využita pro nastavení parametrů PID regulátoru. Simulační prostředí je vizualizováno v softwaru FlightGear.
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Books on the topic "Parity equations"

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International, Conference on Partial Differential Equations (2000 Clausthal Germany). Partial differential equations and spectral theory: PDE2000 Conference in Clausthal, Germany. Basel: Birkhäuser Verlag, 2001.

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Evans, G. Analytic methods for partial differential equations. London: Springer, 2000.

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Renardy, Michael. An introduction to partial differential equations. 2nd ed. New York: Springer, 1996.

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C, Rogers Robert, ed. An introduction to partial differential equations. 2nd ed. New York: Springer, 2004.

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Renardy, Michael. An introduction to partial differential equations. New York: Springer-Verlag, 1993.

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Nonlinear partial differential equations for scientists and engineers. Boston: Birkhäuser, 1997.

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Nonlinear partial differential equations for scientists and engineers. 2nd ed. Boston: Birkhäuser, 2005.

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Magalhães, Iorio Valéria de, ed. Fourier analysis and partial differential equations. Cambridge: Cambridge University Press, 2001.

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Kirk, Steven Robert. 3-D finite element solution of the even-party Boltzmann neutron transport equation. Salford: University ofSalford, 1992.

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Flavin, James N. Qualitative estimates for partial differential equations: An introduction. Boca Raton, Fla: CRC Press, 1996.

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Book chapters on the topic "Parity equations"

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Isermann, Rolf. "Fault detection with parity equations." In Fault-Diagnosis Systems, 197–229. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/3-540-30368-5_10.

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Gertler, Janos J. "Structured Parity Equations in Fault Detection and Isolation." In Issues of Fault Diagnosis for Dynamic Systems, 285–313. London: Springer London, 2000. http://dx.doi.org/10.1007/978-1-4471-3644-6_10.

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Hausmann, Daniel, and Lutz Schröder. "Quasipolynomial Computation of Nested Fixpoints." In Tools and Algorithms for the Construction and Analysis of Systems, 38–56. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-72016-2_3.

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AbstractIt is well-known that the winning region of a parity game with n nodes and k priorities can be computed as a k-nested fixpoint of a suitable function; straightforward computation of this nested fixpoint requires $$\mathcal {O}(n^{\frac{k}{2}})$$ O ( n k 2 ) iterations of the function. Calude et al.’s recent quasipolynomial-time parity game solving algorithm essentially shows how to compute the same fixpoint in only quasipolynomially many iterations by reducing parity games to quasipolynomially sized safety games. Universal graphs have been used to modularize this transformation of parity games to equivalent safety games that are obtained by combining the original game with a universal graph. We show that this approach naturally generalizes to the computation of solutions of systems of any fixpoint equations over finite lattices; hence, the solution of fixpoint equation systems can be computed by quasipolynomially many iterations of the equations. We present applications to modal fixpoint logics and games beyond relational semantics. For instance, the model checking problems for the energy $$\mu $$ μ -calculus, finite latticed $$\mu $$ μ -calculi, and the graded and the (two-valued) probabilistic $$\mu $$ μ -calculus – with numbers coded in binary – can be solved via nested fixpoints of functions that differ substantially from the function for parity games but still can be computed in quasipolynomial time; our result hence implies that model checking for these $$\mu $$ μ -calculi is in $$\textsc {QP}$$ QP . Moreover, we improve the exponent in known exponential bounds on satisfiability checking.
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Canteaut, Anne, and Michaël Trabbia. "Improved Fast Correlation Attacks Using Parity-Check Equations of Weight 4 and 5." In Advances in Cryptology — EUROCRYPT 2000, 573–88. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/3-540-45539-6_40.

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de Pietri-Tonelli, Alfonso. "Pareto’s General Equilibrium Equations." In Vilfredo Pareto, 21–28. London: Palgrave Macmillan UK, 1994. http://dx.doi.org/10.1007/978-1-349-13322-2_3.

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Neele, Thomas, Tim A. C. Willemse, and Wieger Wesselink. "Partial-Order Reduction for Parity Games with an Application on Parameterised Boolean Equation Systems." In Tools and Algorithms for the Construction and Analysis of Systems, 307–24. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45237-7_19.

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Abstract Partial-order reduction (POR) is a well-established technique to combat the problem of state-space explosion. We propose POR techniques that are sound for parity games, a well-established formalism for solving a variety of decision problems. As a consequence, we obtain the first POR method that is sound for model checking for the full modal $$\mu $$-calculus. Our technique is applied to, and implemented for the fixed point logic called parameterised Boolean equation systems, which provides a high-level representation of parity games. Experiments indicate that substantial reductions can be achieved.
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Crépey, Stéphane. "About the Pricing Equations in Finance." In Paris-Princeton Lectures on Mathematical Finance 2010, 63–203. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-14660-2_2.

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Wigner, E. P. "Relativistic Invariance of Quantum-Mechanical Equations." In Part I: Particles and Fields. Part II: Foundations of Quantum Mechanics, 129–45. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-662-09203-3_13.

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Wigner, E. P. "Invariant Quantum Mechanical Equations of Motion." In Part I: Particles and Fields. Part II: Foundations of Quantum Mechanics, 161–84. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-662-09203-3_18.

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Lions, J. L. "Pareto control of distributed systems. An introduction." In Control Problems for Systems Described by Partial Differential Equations and Applications, 90–104. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0038744.

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Conference papers on the topic "Parity equations"

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Hofling and Deibert. "Estimation of parity equations in nonlinear systems." In Proceedings of IEEE International Conference on Control and Applications CCA-94. IEEE, 1994. http://dx.doi.org/10.1109/cca.1994.381358.

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Fagarasan, I., and S. St Iliescu. "Parity equations for fault detection and isolation." In 2008 IEEE International Conference on Automation, Quality and Testing, Robotics. IEEE, 2008. http://dx.doi.org/10.1109/aqtr.2008.4588715.

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Sumislawska, Malgorzata, Tomasz Larkowski, and Keith J. Burnham. "Design of Parity Equations Using Right Eigenstructure Assignment." In 2011 21st International Conference on Systems Engineering (ICSEng). IEEE, 2011. http://dx.doi.org/10.1109/icseng.2011.73.

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Hollmann, Henk, and Ludo Tolhuizen. "Generating parity check equations for bounded-distance iterative erasure decoding." In 2006 IEEE International Symposium on Information Theory. IEEE, 2006. http://dx.doi.org/10.1109/isit.2006.261769.

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Pacheco, M. A., R. Arnanz, A. Mendoza, L. J. Miguel, and J. R. Peran. "Diagnosis of AC motors with parity equations and neural networks." In 2001 European Control Conference (ECC). IEEE, 2001. http://dx.doi.org/10.23919/ecc.2001.7075956.

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Berriri, Hanen, and Ilhem Slama-Belkhodja. "Enhanced parity equations method for sensor fault detection in electrical drives." In 2010 Conference on Control and Fault-Tolerant Systems (SysTol). IEEE, 2010. http://dx.doi.org/10.1109/systol.2010.5675967.

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Bellorado, Jason, Aleksandar Kavcic, and Li Ping. "Soft-Input, Iterative, Reed-Solomon Decoding using Redundant Parity-Check Equations." In 2007 IEEE Information Theory Workshop. IEEE, 2007. http://dx.doi.org/10.1109/itw.2007.4313063.

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Mattos, Willer Jorge, and Rui Esteves Araujo. "Fault Diagnosis in DC-DC Power Converters Based on Parity Equations." In 2020 International Young Engineers Forum (YEF-ECE). IEEE, 2020. http://dx.doi.org/10.1109/yef-ece49388.2020.9171806.

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Rodriguez, M. A., M. Hernandez, F. Mendez, P. Sibaja, and L. Hernandez. "A simple fault detection of induction motor by using parity equations." In 2011 8th IEEE International Symposium on Diagnostics for Electric Machines, Power Electronics and Drives - (SDEMPED 2011). IEEE, 2011. http://dx.doi.org/10.1109/demped.2011.6063681.

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Butt, Saif Siddique, Robert Prabel, and Harald Aschemann. "Fault detection and isolation of a hybrid synchronous machine using parity equations." In 2012 17th International Conference on Methods & Models in Automation & Robotics (MMAR). IEEE, 2012. http://dx.doi.org/10.1109/mmar.2012.6347892.

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Reports on the topic "Parity equations"

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Crandall, Michael G., and Pierre-Louis Lions. Hamilton-Jacobi Equations in Infinite Dimensions. Part 3. Fort Belvoir, VA: Defense Technical Information Center, February 1986. http://dx.doi.org/10.21236/ada167521.

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Crandall, M. G., and P. L. Lions. Hamilton-Jacobi Equations in Infinite Dimensions. Part 2. Existence of Viscosity Solutions. Fort Belvoir, VA: Defense Technical Information Center, June 1985. http://dx.doi.org/10.21236/ada158137.

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Babuska, Ivo, and Tadeusz Janik. The p-Version of the Finite Element Method for Parabolic Equations. Part 1. Fort Belvoir, VA: Defense Technical Information Center, July 1988. http://dx.doi.org/10.21236/ada197786.

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Van Wieren, Jack. Using Diagonally Implicit Multistage Integration Methods for Solving Ordinary Differential Equations. Part 2: Implicit Methods. Fort Belvoir, VA: Defense Technical Information Center, August 1997. http://dx.doi.org/10.21236/ada328947.

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B. A. Kashiwa and W. B. VanderHeyden. Toward a General Theory for Multiphase Turbulence Part I: Development and Gauging of the Model Equations. Office of Scientific and Technical Information (OSTI), December 2000. http://dx.doi.org/10.2172/775879.

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VanWieren, Jack. Using Diagonally Implicit Multistage Integration Methods for Solving Ordinary Differential Equations. Part 1: Introduction and Explicit Methods. Fort Belvoir, VA: Defense Technical Information Center, January 1997. http://dx.doi.org/10.21236/ada324085.

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Gerdjikov, Vladimir S. Multi-component Nonlinear Schrödinger Equation on Symmetric Spaces with Constant Boundary Conditions. Part I. GIQ, 2012. http://dx.doi.org/10.7546/giq-11-2010-42-67.

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Gerdjikov, Vladimir. Multi-component Nonlinear Schrödinger Equation on Symmetric Spaces with Constant Boundary Conditions. Part I. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-19-2010-1-28.

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Cheverud, James, Claire C. Gordon, Robert A. Walker, Cashell Jacquish, and Luci Kohn. Anthropometric Survey of US Army Personnel (1988): Correlation Coefficients and Regression Equations. Part 2. Simple and Partial Correlation Tables--Male. Fort Belvoir, VA: Defense Technical Information Center, May 1990. http://dx.doi.org/10.21236/ada224987.

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Cheverud, James, Claire C. Gordon, Robert A. Walker, Cashell Jacquish, Luci Kohn, Allen Moore, and Nyuta Yamashita. Anthropometric Survey of US Army Personnel (1988): Correlation Coefficients and Regression Equations. Part 5. Stepwise and Standard Multiple Regression Tables. Fort Belvoir, VA: Defense Technical Information Center, May 1990. http://dx.doi.org/10.21236/ada224990.

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