Academic literature on the topic 'Prime partitions'

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Journal articles on the topic "Prime partitions"

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CUI, SU-PING, and NANCY SHAN SHAN GU. "CONGRUENCES FOR k DOTS BRACELET PARTITION FUNCTIONS." International Journal of Number Theory 09, no. 08 (2013): 1885–94. http://dx.doi.org/10.1142/s1793042113500644.

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Andrews and Paule introduced broken k-diamond partitions by using MacMahon's partition analysis. Recently, Fu found a generalization which he called k dots bracelet partitions and investigated some congruences for this kind of partitions. In this paper, by finding congruence relations between the generating function for 5 dots bracelet partitions and that for 5-regular partitions, we get some new congruences modulo 2 for the 5 dots bracelet partition function. Moreover, for a given prime p, we study arithmetic properties modulo p of k dots bracelet partitions.
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Gafni, Ayla. "PARTITIONS INTO PRIME POWERS." Mathematika 67, no. 2 (2021): 468–88. http://dx.doi.org/10.1112/mtk.12082.

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Jakimczuk, Rafael. "Partitions into prime powers and more general partitions." Applied Mathematical Sciences 13, no. 16 (2019): 781–92. http://dx.doi.org/10.12988/ams.2019.97101.

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POLLACK, PAUL. "A REMARK ON PRIME DIVISORS OF PARTITION FUNCTIONS." International Journal of Number Theory 10, no. 01 (2014): 125–31. http://dx.doi.org/10.1142/s179304211350084x.

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Schinzel showed that the set of primes that divide some value of the classical partition function is infinite. For a wide class of sets 𝒜, we prove an analogous result for the function p𝒜(n) that counts partitions of n into terms belonging to 𝒜.
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McLean, K. Robin. "Partitions of primes and other sequences." Mathematical Gazette 89, no. 514 (2005): 15–21. http://dx.doi.org/10.1017/s0025557200176594.

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Let p1, p2, p3, … be the sequence of primes. Take any integer n ⩾ 2 and partition the set {p1p2, … , pn} into two non-empty subsets A and B. Let PA be the product of primes in A and PB be the product of primes in B. No partition exists with PA = PB, because of the uniqueness of prime factorisation, but Fernando Castro’s neat result in [1] asserts that for each n there is a partition for which 1
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Gharibyan, Aram H., and Petros A. Petrosyan. "LOCALLY-BALANCED $k$-PARTITIONS OF GRAPHS." Proceedings of the YSU A: Physical and Mathematical Sciences 55, no. 2 (255) (2021): 96–112. http://dx.doi.org/10.46991/pysu:a/2021.55.2.096.

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In this paper we generalize locally-balanced $2$-partitions of graphs and introduce a new notion, the locally-balanced $k$-partitions of graphs, defined as follows: a $k$-partition of a graph $G$ is a surjection $f:V(G)\rightarrow \{0,1,\ldots,k-1\}$. A $k$-partition ($k\geq 2$) $f$ of a graph $G$ is a locally-balanced with an open neighborhood, if for every $v\in V(G)$ and any $0\leq i<j\leq k-1$ $$\left\vert \vert \{u\in N_{G}(v)\colon\,f(u)=i\}\vert - \vert \{u\in N_{G}(v)\colon\,f(u)=j\}\vert \right\vert\leq 1.$$ A $k$-partition ($k\geq 2$) $f^{\prime}$ of a graph $G$ is a locally-balan
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Hartley, Michael I. "Partitions in the prime number maze." Acta Arithmetica 105, no. 3 (2002): 227–38. http://dx.doi.org/10.4064/aa105-3-2.

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Vinatier, Stéphane. "Permuting the partitions of a prime." Journal de Théorie des Nombres de Bordeaux 21, no. 2 (2009): 455–65. http://dx.doi.org/10.5802/jtnb.682.

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Sun, Jie, and Kyle Sutela. "Inductive Formulas Related to Prime Partitions." Bulletin of the Malaysian Mathematical Sciences Society 43, no. 1 (2018): 563–79. http://dx.doi.org/10.1007/s40840-018-0702-1.

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Wu, Yunjian. "Parity results for broken 11-diamond partitions." Open Mathematics 17, no. 1 (2019): 402–6. http://dx.doi.org/10.1515/math-2019-0031.

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Abstract Recently, Dai proved new infinite families of congruences modulo 2 for broken 11-diamond partition functions by using Hecke operators. In this note, we establish new parity results for broken 11-diamond partition functions. In particular, we generalize the congruences due to Dai by utilizing an identity due to Newman. Furthermore, we prove some strange congruences modulo 2 for broken 11-diamond partition functions. For example, we prove that if p is a prime with p ≠ 23 and Δ11(2p + 1) ≡ 1 (mod 2), then for any k ≥ 0, Δ11(2p3k+3 + 1) ≡ 1 (mod 2), where Δ11(n) is the number of broken 11
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Dissertations / Theses on the topic "Prime partitions"

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Mullen, Woodford Roger. "Partitions into prime powers and related divisor functions." Thesis, University of British Columbia, 2008. http://hdl.handle.net/2429/1246.

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In this thesis, we will study a class of divisor functions: the prime symmetric functions. These are polynomials over Q in the so-called elementary prime symmetric functions, whose values lie in Z. The latter are defined on the nonnegative integers and take the values of the elementary symmetric functions applied to the multi-set of prime factors (with repetition) of an integer n. Initially we look at basic properties of prime symmetric functions, and consider analogues of questions posed for the usual sum of proper divisors function, such as those concerning perfect numbers or Aliquot sequen
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Ralaivaosaona, Dimbinaina. "Limit theorems for integer partitions and their generalisations." Thesis, Stellenbosch : Stellenbosch University, 2012. http://hdl.handle.net/10019.1/20019.

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Thesis (PhD)--Stellenbosch University, 2012.<br>ENGLISH ABSTRACT: Various properties of integer partitions are studied in this work, in particular the number of summands, the number of ascents and the multiplicities of parts. We work on random partitions, where all partitions from a certain family are equally likely, and determine moments and limiting distributions of the different parameters. The thesis focuses on three main problems: the first of these problems is concerned with the length of prime partitions (i.e., partitions whose parts are all prime numbers), in particular restrict
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Smith, Adam Nicholas. "Bayesian Analysis of Partitioned Demand Models." The Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1497895561381294.

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Olby, Johan. "Partition Aware Database Replication : A state-update transfer strategy based on PRiDe." Thesis, University of Skövde, School of Humanities and Informatics, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:his:diva-396.

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<p>Distributed real-time databases can be used to support data sharing</p><p>for applications in wireless ad-hoc networks. In such networks, topology changes frequently and partitions may be unpredictable and last for an unbounded period. In this thesis, the existing database replication protocol PRiDe is extended to handle such long-lasting partitions. The protocol uses optimistic and detached replication to provide predictable response times in unpredictable networks and forward conflict resolution to guarantee progress.</p><p>The extension, pPRiDe, combines update and state transfer strateg
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Valls, Tomás María Desamparados. "Castelló en el primer liberalisme (1833-1868). Canvi social i partitis polítics." Doctoral thesis, Universitat Jaume I, 2016. http://hdl.handle.net/10803/669037.

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El present treball d’investigació s’ocupa de les transformacions urbanes, polítiques, econòmiques i socials de la ciutat de Castelló des de la mort de Ferran VII, en 1833, quan s’acaba definitivament l’Antic Règim i triomfa la revolució burgesa/liberal, fins l’exili de la Reina Isabel II, en 1868, que dóna pas al Sexenni Democràtic. Com és sabut, l’Espanya isabel·lina és una època de canvis polítics i socials molt importants en el camí del procés revolucionari. Ens deixa un llegat polític transcendental com és el desmantellament de l’Antic Règim i la consumació de la revolució burgesa, proc
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Aguila, André. "Contribution à la conception d'un planificateur de test : prise en compte des contraintes de testabilité." Montpellier 2, 1991. http://www.theses.fr/1991MON20289.

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Ce memoire presente l'elaboration de mesures de testabilite adaptee a un outil de planification de test des circuits integres. Cet outil comprend en particulier trois taches: le partitionnement du circuit sous test, la propagation des donnees de test de chaque partition au niveau fonctionnel et l'utilisation de methodes de conception en vue du test si le circuit s'averait non testable. Trois mesures ont ete developpees: une mesre de controlabilite, une mesure d'observabilite et un coefficient de correlation. Apres une presentation de l'etat de l'art du domaine, le cahier des charges de ces mes
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Ndoye, Falou. "Ordonnancement temps réel préemptif multiprocesseur avec prise en compte du coût du système d’exploitation." Thesis, Paris 11, 2014. http://www.theses.fr/2014PA112056/document.

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Dans cette thèse nous étudions le problème d'ordonnancement temps réel multiprocesseur préemptif avec prise en compte du coût exact du système d'exploitation. Ce coût est formé de deux parties : une partie facile à déterminer, correspondant au coût de l'ordonnanceur et une partie difficile à déterminer, correspondant au coût de la préemption. Cette difficulté est due au fait qu'une préemption peut en engendrer une autre, pouvant ainsi créer un phénomène d'avalanche. Dans un premier temps, nous avons étudié l'ordonnancement hors ligne multiprocesseur de tâches indépendantes avec prise en compte
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Ndoye, Falou. "Ordonnancement temps réel préemptif multiprocesseur avec prise en compte du coût du système d'exploitation." Phd thesis, Université Paris Sud - Paris XI, 2014. http://tel.archives-ouvertes.fr/tel-00978366.

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Dans cette thèse nous étudions le problème d'ordonnancement temps réel multiprocesseur préemptif avec prise en compte du coût exact du système d'exploitation. Ce coût est formé de deux parties : une partie facile à déterminer, correspondant au coût de l'ordonnanceur et une partie difficile à déterminer, correspondant au coût de la préemption. Cette difficulté est due au fait qu'une préemption peut en engendrer une autre, pouvant ainsi créer un phénomène d'avalanche. Dans un premier temps, nous avons étudié l'ordonnancement hors ligne multiprocesseur de tâches indépendantes avec prise en compte
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Aslam, Maqsood. "Essays on the effects of natural and geo-political shocks on decision-making and preferences." Thesis, Lille 1, 2019. http://www.theses.fr/2019LIL1A021.

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Cette thèse est composée de quatre chapitres analysant différents chocs naturels et géopolitiques et leurs conséquences au niveau individuel dans les pays développés et en développement. Le premier chapitre explore l’effet du tremblement de terre en 2005 au Pakistan sur la religiosité. Nous avons trouvé une relation positive entre l’expérience d’une catastrophe naturelle et la religiosité. Cette analyse corrobore l’hypothèse de refuge dans la religion, c’est-à-dire que les individus sont plus enclins à se tourner vers la pratique religieuse après l’expérience d’une catastrophe naturelle. Le de
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Wei-Cheng, Chen, and 陳偉政. "Consumer's Reaction to Partitioned Price and the Moderating Role of Perceived Benefit." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/09975770588474785923.

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碩士<br>國立臺北大學<br>企業管理學系<br>97<br>The total price of a product or service is usually partitioned into two or more mandatory components that the consumers have to purchase together. Nowadays, firms often use partitioned price as their pricing strategy to increase seller’s benefit. Research on partitioned pricing suggests that separating the price makes the partitioned components more salient than when the prices are not partitioned. Whereas previous research has examined the case with base price and surcharge and investigated the effect of partitioned prices containing a variable number of pri
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Books on the topic "Prime partitions"

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Zakaria, Rafiq. Price of partition: Recollections and reflections. Bharatiya Vidya Bhavan, 1998.

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Morwitz, Vicki G. Divide and prosper: Effects of partitioned prices on consumers' price recall and demand. Marketing Science Institute, 1998.

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Morwitz, Vicki. Divide and prosper: Effects of partitioned prices on consumers' price recall and demand. Marketing Science Institute, 1998.

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A course in analytic number theory. American Mathematical Society, 2014.

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Salman, Rushdie. Dzieci północy. Dom Wydawniczy Rebis, 1999.

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Salman, Rushdie. Midnight's children. 3rd ed. Penguin Books, 1991.

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Salman, Rushdie. Midnight's Children: A Novel. 2nd ed. Random House Trade Paperbacks, 2006.

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Salman, Rushdie. Midnight's Children. Penguin Books, 1991.

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Salman, Rushdie. Midnight's Children. 4th ed. Vintage, 1995.

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Salman, Rushdie. Wu ye zhi zi: Midnight's children. Beijing Yan shan chu ban she, 2015.

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Book chapters on the topic "Prime partitions"

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Cai, Tianxin. "Partitions Modulo Prime Powers and Binomial Coefficients." In Developments in Mathematics. Springer US, 2002. http://dx.doi.org/10.1007/978-1-4757-3675-5_5.

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Katre, S. A. "Jac obsthal sums in terms of quadratic partitions of a prime." In Number Theory. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0075759.

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Pesin, Yakov. "Sinai’s Work on Markov Partitions and SRB Measures." In The Abel Prize. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-319-99028-6_11.

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Zha, Aolong, Kazuki Nomoto, Suguru Ueda, Miyuki Koshimura, Yuko Sakurai, and Makoto Yokoo. "Coalition Structure Generation for Partition Function Games Utilizing a Concise Graphical Representation." In PRIMA 2017: Principles and Practice of Multi-Agent Systems. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-69131-2_9.

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Wang, Shuo. "The Psychological Mechanisms for Processing Partitioned Price: An Integrated Framework: An Abstract." In Marketing Transformation: Marketing Practice in an Ever Changing World. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-68750-6_54.

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"Internal walls, partitions and doors." In Spon's Civil Engineering and Highway Works Price Book 2010. Spon Press, 2009. http://dx.doi.org/10.1201/9781482296259-91.

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"INTERNAL WALLS, PARTITIONS AND DOORS." In Spon's Civil Engineering and Highway Works Price Book 2009. Spon Press, 2008. http://dx.doi.org/10.1201/9781482266306-87.

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"Internal walls, partitions and doors." In Spon's Civil Engineering and Highway Works Price Book 2005. Spon Press, 2004. http://dx.doi.org/10.1201/9781482265590-88.

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"Approximate estimating rates 69 Internal walls, partitions and doors." In Spon's Civil Engineering and Highway Works Price Book 2012. Spon Press, 2011. http://dx.doi.org/10.1201/9781482288780-24.

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Budak, Ayşenur, Alp Ustundag, and Bülent Güloğlu. "An Optimal Customized Pricing Strategy for Truckload Transportation." In Advances in Logistics, Operations, and Management Science. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-8040-0.ch012.

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The impacts of optimal pricing are rarely explored when it comes to truckload transportation. In this study, the question of what price should be given to which customer and for what service characteristics are investigated for truckload transportation. Accordingly, customers' attitudes and responses to the bid price must be modeled, and their flexibility in regards to the price must be analyzed. Bid response function is developed, and logit model is considered. The bid response function is examined from two different perspectives: the first one is a general model by which all data is used, and the second one is the logit model by using partitioned data obtained by clustering customers. Logit model sensitivity analysis is applied. After developing bid response functions, non-linear optimization model is developed to determine the bid price. The developed model will contribute to the logistics companies' profit margins in the long term.
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Conference papers on the topic "Prime partitions"

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Sivaraman, Jyothsnaa. "Study of Structured Primes in Goldbach Partitions." In Annual International Conference on Computational Mathematics, Computational Geometry & Statistics. Global Science and Technology Forum (GSTF), 2012. http://dx.doi.org/10.5176/2251-1911_cmcgs56.

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Elkind, Edith, Jiarui Gan, Ayumi Igarashi, Warut Suksompong, and Alexandros A. Voudouris. "Schelling Games on Graphs." In Twenty-Eighth International Joint Conference on Artificial Intelligence {IJCAI-19}. International Joint Conferences on Artificial Intelligence Organization, 2019. http://dx.doi.org/10.24963/ijcai.2019/38.

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We consider strategic games that are inspired by Schelling's model of residential segregation. In our model, the agents are partitioned into k types and need to select locations on an undirected graph. Agents can be either stubborn, in which case they will always choose their preferred location, or strategic, in which case they aim to maximize the fraction of agents of their own type in their neighborhood. We investigate the existence of equilibria in these games, study the complexity of finding an equilibrium outcome or an outcome with high social welfare, and also provide upper and lower bou
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Ashok, P., G. M. Kadhar Nawaz, K. Thangavel, and E. Elayaraja. "Outliers detection on protein localization sites by partitional clustering methods." In 2013 International Conference on Pattern Recognition, Informatics and Mobile Engineering (PRIME). IEEE, 2013. http://dx.doi.org/10.1109/icprime.2013.6496519.

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Rios, Oziel, and Delbert Tesar. "Design Criteria for Serial Chains Based on Kinetic Energy Partition Values." In ASME 2008 Dynamic Systems and Control Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/dscc2008-2169.

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In this article, a description of the kinetic energy partition values (or energy ratios) of serial chain mechanisms, as well as their rates of change, are presented. These energy ratios are indicators of the kinetic energy distribution within the system and they exploit the structure of the effective inertia matrix. The rates of change of the kinetic energy partition values with respect to the input parameters of the system indicate the sensitivity of change of the kinetic energy, meaning that a high value for the partition value rate of change together with a high operational state implies th
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Li, Silan, and Fengjie Jing. "Two Pricing Strategies in Online Selling: Partitioned versus Combined Price." In 2010 2nd International Conference on E-business and Information System Security (EBISS 2010). IEEE, 2010. http://dx.doi.org/10.1109/ebiss.2010.5473770.

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Han, Jeongwoo, and Panos Papalambros. "Optimal Design of Hybrid Electric Fuel Cell Vehicles Under Uncertainty and Enterprise Considerations." In ASME 2008 6th International Conference on Fuel Cell Science, Engineering and Technology. ASMEDC, 2008. http://dx.doi.org/10.1115/fuelcell2008-65111.

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System research on Hybrid Electric Fuel Cell Vehicles (HEFCV) explores the tradeoffs among safety, fuel economy, acceleration, and other vehicle attributes. In addition to engineering considerations, inclusion of business aspects is important in a preliminary vehicle design optimization study. For a new technology, such as fuel cells, it is also important to include uncertainties stemming from manufacturing variability to market response to fuel price fluctuations. This paper applies a decomposition-based multidisciplinary design optimization strategy to an HEFCV. Uncertainty propagated throug
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