Academic literature on the topic 'Regularity properties'

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Journal articles on the topic "Regularity properties"

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Raina, Sehar Shakeel, and A. K. Das. "Some New Variants of Relative Regularity via Regularly Closed Sets." Journal of Mathematics 2021 (May 24, 2021): 1–6. http://dx.doi.org/10.1155/2021/7726577.

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Every topological property can be associated with its relative version in such a way that when smaller space coincides with larger space, then this relative property coincides with the absolute one. This notion of relative topological properties was introduced by Arhangel’skii and Ganedi in 1989. Singal and Arya introduced the concepts of almost regular spaces in 1969 and almost completely regular spaces in 1970. In this paper, we have studied various relative versions of almost regularity, complete regularity, and almost complete regularity. We investigated some of their properties and established relationships of these spaces with each other and with the existing relative properties.
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AKON KPATA, BERENGER. "ON SOME REGULARITY PROPERTIES OF THE HARDY-LITTLEWOOD MAXIMAL OPERATOR." Journal of Mathematical Analysis 13, no. 1 (March 30, 2022): 28–40. http://dx.doi.org/10.54379/jma-2022-1-3.

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In this paper, we establish some regularity properties of the HardyLittlewood maximal operator including its boundedness on some subspaces of a Morrey-Sobolev space and a pointwise inequality involving the weak derivative of the maximal function.
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Jaffard, Stéphane, and Hamid Krim. "Regularity properties of Haar Frames." Comptes Rendus. Mathématique 359, no. 9 (November 3, 2021): 1107–17. http://dx.doi.org/10.5802/crmath.228.

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Clarke, F. H., and R. B. Vinter. "Regularity Properties of Optimal Controls." SIAM Journal on Control and Optimization 28, no. 4 (May 1990): 980–97. http://dx.doi.org/10.1137/0328055.

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Ma, Tao, Pablo Raúl Stinga, José L. Torrea, and Chao Zhang. "Regularity properties of Schrödinger operators." Journal of Mathematical Analysis and Applications 388, no. 2 (April 2012): 817–37. http://dx.doi.org/10.1016/j.jmaa.2011.10.006.

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Müller, Stefan, and Mohammad Reza Pakzad. "Regularity properties of isometric immersions." Mathematische Zeitschrift 251, no. 2 (July 13, 2005): 313–31. http://dx.doi.org/10.1007/s00209-005-0804-y.

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Dobriban, Edgar, and Jianqing Fan. "Regularity Properties for Sparse Regression." Communications in Mathematics and Statistics 4, no. 1 (March 2016): 1–19. http://dx.doi.org/10.1007/s40304-015-0078-6.

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Nagle, Brendan, and Vojtěch Rödl. "Regularity properties for triple systems." Random Structures & Algorithms 23, no. 3 (July 17, 2003): 264–332. http://dx.doi.org/10.1002/rsa.10094.

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Finn, R., and J. Lu. "Regularity properties of H -graphs." Commentarii Mathematici Helvetici 73, no. 3 (August 1, 1998): 379–99. http://dx.doi.org/10.1007/s000140050060.

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Ikegami, Daisuke. "Forcing absoluteness and regularity properties." Annals of Pure and Applied Logic 161, no. 7 (April 2010): 879–94. http://dx.doi.org/10.1016/j.apal.2009.10.005.

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Dissertations / Theses on the topic "Regularity properties"

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Schechter, Alexander. "Regularity and other properties of Hausdorff measures." Thesis, University College London (University of London), 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.272026.

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Lindgren, Erik. "Regularity properties of two-phase free boundary problems." Doctoral thesis, KTH, Matematik (Inst.), 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-10336.

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This thesis consists of four papers which are all related to the regularity properties of free boundary problems. The problems considered have in common that they have some sort of two-phase behaviour.In papers I-III we study the interior regularity of different two-phase free boundary problems. Paper I is mainly concerned with the regularity properties of the free boundary, while in papers II and III we devote our study to the regularity of the function, but as a by-product we obtain some partial regularity of the free boundary.The problem considered in paper IV has a somewhat different nature. Here we are interested in certain approximations of the obstacle problem. Two major differences are that we study regularity properties close to the fixed boundary and that the problem converges to a one-phase free boundary problem.
QC 20100728
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Nguyen, Hieu Thao. "About regularity properties in variational analysis and applications in optimization." Thesis, Federation University Australia, 2015. http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/99995.

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Regularity properties lie at the core of variational analysis because of their importance for stability analysis of optimization and variational problems, constraint qualications, qualication conditions in coderivative and subdierential calculus and convergence analysis of numerical algorithms. The thesis is devoted to investigation of several research questions related to regularity properties in variational analysis and their applications in convergence analysis and optimization. Following the works by Kruger, we examine several useful regularity properties of collections of sets in both linear and Holder-type settings and establish their characterizations and relationships to regularity properties of set-valued mappings. Following the recent publications by Lewis, Luke, Malick (2009), Drusvyatskiy, Ioe, Lewis (2014) and some others, we study application of the uniform regularity and related properties of collections of sets to alternating projections for solving nonconvex feasibility problems and compare existing results on this topic. Motivated by Ioe (2000) and his subsequent publications, we use the classical iteration scheme going back to Banach, Schauder, Lyusternik and Graves to establish criteria for regularity properties of set-valued mappings and compare this approach with the one based on the Ekeland variational principle. Finally, following the recent works by Khanh et al. on stability analysis for optimization related problems, we investigate calmness of set-valued solution mappings of variational problems.
Doctor of Philosophy
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Pigato, Paolo. "Tube estimates for hypoelliptic diffusions and scaling properties of stochastic volatility models." Thesis, Paris Est, 2015. http://www.theses.fr/2015PESC1029/document.

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Dans cette thèse on aborde deux problèmes. Dans la première partie on considère des diffusions hypoelliptiques, à la fois sur une condition d'Hormander forte et faible. On trouve des estimations gaussiennes pour la densité de la loi de la solution à un temps court fixé. Un outil fondamental pour prouver ces estimations est le calcul de Malliavin, et en particulier on utilise des techniques développées récemment pour faire face à des problèmes de dégénérescence. Ensuite, grâce à ces estimations en temps court, on trouve des bornes inférieures et supérieures exponentielles sur la probabilité que la diffusion reste dans un petit tube autour d'une trajectoire déterministe jusqu'à un moment fixé. Dans ce cadre hypoelliptique, la forme du tube doit tenir compte du fait que la diffusion se déplace avec une vitesse différente dans les directions du coefficient de diffusion et dans les directions des crochets de Lie. Pour cette raison, on introduit une norme qui prend en compte ce comportement anisotrope, qui peut être adaptée aux cas d'Hormander fort et faible. Dans le cas Hormander fort on établit un lien entre cette norme et la distance de contrôle classique. Dans le cas Hormander faible on introduit une distance de contrôle équivalente appropriée. Dans la deuxième partie de la thèse, on travaille avec des modèles à volatilité stochastique avec retour à la moyenne, oú la volatilité est dirigée par un processus de saut. On suppose d'abord que les sauts suivent un processus de Poisson, et on considère la décroissance des corrélations croisées, théoriquement et empiriquement. Ceci nous amène à étudier un algorithme pour la détection de sauts de la volatilité. On considère ensuite un phénomène plus subtil largement observé dans les indices financiers: le "multiscaling" des moments, c'est-à-dire le fait que les moments d'ordre q des log-incréments du prix sur un temps h, ont une amplitude d'ordre h à une certaine puissance, qui est non linéaire dans q. On travaille avec des modèles oú la volatilité suit une EDS avec retour à la moyenne dirigée par un subordinateur de Lévy. On montre que le multiscaling se produit si la mesure caractéristique du Lévy a des queues de loi de puissance et le retour à la moyenne est superlinéaire à l'infini. Dans ce cas l'exposant de scaling est linéaire par morceaux
In this thesis we address two problems. In the first part we consider hypoelliptic diffusions, under both strong and weak Hormander condition. We find Gaussian estimates for the density of the law of the solution at a fixed, short time. A main tool to prove these estimates is Malliavin Calculus, in particular some techniques recently developed to deal with degenerate problems. We then use these short-time estimates to show exponential two-sided bounds for the probability that the diffusion remains in a small tube around a deterministic path up to a given time. In our hypoelliptic framework, the shape of the tube must reflect the fact the diffusion moves with a different speed in the direction of the diffusion coefficient and in the direction of the Lie brackets. For this reason we introduce a norm accounting of this anisotropic behavior, which can be adapted to both the strong and weak Hormander framework. We establish a connection between this norm and the standard control distance in the strong Hormander case. In the weak Hormander case, we introduce a suitable equivalent control distance. In the second part of the thesis we work with mean reverting stochastic volatility models, with a volatility driven by a jump process. We first suppose that the jumps follow a Poisson process, and consider the decay of cross asset correlations, both theoretically and empirically. This leads us to study an algorithm for the detection of jumps in the volatility profile. We then consider a more subtle phenomenon widely observed in financial indices: the multiscaling of moments, i.e. the fact that the q-moment of the log-increment of the price on a time lag of length h scales as h to a certain power of q, which is non-linear in q. We work with models where the volatility follows a mean reverting SDE driven by a Lévy subordinator. We show that multiscaling occurs if the characteristic measure of the Lévy has power law tails and the mean reversion is super-linear at infinity. In this case the scaling function is piecewise linear
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Boo, Woong Jae. "Characterization of thin film properties of melamine based dendrimer nanoparticles." Thesis, Texas A&M University, 2003. http://hdl.handle.net/1969.1/1611.

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With the given information that dendrimers have precisely controlled their sizes and spherical structures in the molecular level, the aim of this study is to show that dendrimer particles can become ordered into a self-assembled regular structure due to the nature of their regular sizes and shapes. For this project, melamine based generation 3 dendrimer was used for solution cast of thin films from the dendrimer-chloroform solutions with different casting conditions, i.e. various solution concentrations, casting temperatures, and substrates. As a result of these experiments, unique phenomena of highly ordered uniform 2-D contraction separations were observed during the solvent evaporation from the dendrimer films. The cast films from the concentration of 0.8 wt% and higher exhibit regular 2-D separation contraction patterns and make well-developed regularly arrayed structures due to the interaction between the contraction stresses and adhesion strength between films and substrates. From the DSC tests, both powder and cast film samples of a dendrimer show similar melting behaviors with different areas under the melting peaks. The results of these tests show that dendrimers, when they are in a descent environment that provides dendrimers with molecular mobility due to surface ionic bonding strength, can make a structural order and regularity in their macroscopic structures.
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Figueirinhas, Diogo. "On the Properties of Gevreyand Ultra-analytic Spaces." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-55596.

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We look at the algebraic properties of Gevrey, analytic and ultraanalytic function spaces, namely their closure under composition, division and inversion. We show that both Gevrey and ultra-analytic spaces, G s with 1 ≤ s < ∞ and 0 < s < 1 respectively, form algebras. Closure under composition, division and inversion is shown to hold for the Gevrey case. For the ultra-analytic case we show it is not closed under composition. We also show that if a function is in G s , with 0 < s < 1 on a compact set, then it is in G s everywhere.
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Fackler, Stephan [Verfasser]. "Regularity properties of sectorial operators: extrapolation, counterexamples and generic classes / Stephan Fackler." Ulm : Universität Ulm. Fakultät für Mathematik und Wirtschaftswissenschaften, 2015. http://d-nb.info/1064939813/34.

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Nikitin, Natalie [Verfasser]. "Regularity properties of infinite-dimensional Lie groups and exponential laws / Natalie Nikitin." Paderborn : Universitätsbibliothek, 2021. http://d-nb.info/1235522792/34.

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Daghighi, Abtin. "Regularity and uniqueness-related properties of solutions with respect to locally integrable structures." Doctoral thesis, Mittuniversitetet, Avdelningen för ämnesdidaktik och matematik, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:miun:diva-21641.

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We prove that a smooth generic embedded CR submanifold of C^n obeys the maximum principle for continuous CR functions if and only if it is weakly 1-concave. The proof of the maximum principle in the original manuscript has later been generalized to embedded weakly q-concave CR submanifolds of certain complex manifolds. We give a generalization of a known result regarding automatic smoothness of solutions to the homogeneous problem for the tangential CR vector fields given local holomorphic extension. This generalization ensures that a given locally integrable structure is hypocomplex at the origin if and only if it does not allow solutions near the origin which cannot be represented by a smooth function near the origin. We give a sufficient condition under which it holds true that if a smooth CR function f on a smooth generic embedded CR submanifold, M, of C^n, vanishes to infinite order along a C^infty-smooth curve  \gamma in M, then f vanishes on an M-neighborhood of \gamma. We prove a local maximum principle for certain locally integrable structures.

Funding  by FMB, based at Uppsala University.

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Jing, Shuai. "Some applications of BSDE theory : fractional BDSDEs and regularity properties of Integro-PDEs." Brest, 2011. http://www.theses.fr/2011BRES2040.

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Dans la première partie de ma thèse, en adaptant l’idée de Jien et Ma (2010), l’objectif principal est étudier les équations différentielles doublement stochastiques rétrogrades, semi-linéaires ou nonlinéaires, régies par un mouvement brownien standard et un mouvement brownien fractionnaire indépendant, ainsi que les équations différentielles partielles stochastiques associées régies par le mouvement brownien fractionnaire. Pour le cas semi-linéaire, dans un papier en collaboration avec Jorge A. Leόn (CINVESTAV, Mexique), nous utilisons le calcul de Malliavin dans le cadre du mouvement brownien fractionnaire et la transformation de Girsanov anticipative. Pour le cas nonlinéaire, nous appliquons la transformation de Doss-Sussmann. Dans la deuxième partie nous étudions la régularité, à savoir la continuité de Lipschitz conjointe et la semiconcavité conjointe, de la solution de viscosité pour une classe générale d’équations aux dérivées partielles-intégrales non locales de type Hamilton-Jacobi-Bellman. Pour cette fin nous employons l’interprétation stochastique par une équation différentielle stochastique rétrograde contrôlée avec sauts, en appliquant du changement de temps pour le mouvement brownien et la transformation de Kulik pour la mesure aléatoire de Poisson. Notre travail est une généralisation des travaux de Buckdahn, Cannarsa et Quincampoix (2010) et Buckdahn, Huang et Li (2011)
In the first part of my thesis, by adapting the idea of Jien and Ma (2010), the main objective is to study the (semilinear or linear) doubly stochastic differential equations driven by a standard Brownian motion and an independent fractional Brownian motion, as well as the associated stochastic partial differential equations driven by the fractional Brownian motion. For the semilinear case, which is composed by a paper in collaboration with Jorge A. Leόn (CINVESTAV, Mexico), we use the Malliavin calculus in the frame of fractional Brownian motion and the anticipative Girsanov transformation. For the nonlinear case, we apply the Doss-Sussmann transformation. In the second part we study the regularity properties, i. E. , the joint Lipschitz continuity and the joint semiconcavity, of the viscosity solution of a general class of non local integro-partial differential equations of the type of Hamilton Jacobi-Bellman. For this end we employ the stochastic interpretation by a controlled backward stochastic differential equation with jumps, by applying the time change for the Brownian motion and Kulik’s transformation for the Poisson random measure. Our work is the generalization of the works by Buckdahn, Cannarsa and Quincampoix (2010) as well as Buckdahn, Huang and Li (2011)
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Books on the topic "Regularity properties"

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Guzmán-Gómez, Marisela. Regularity properties of the Davey-Stewartson system for gravity-capillary waves. Toronto: [s.n.], 1995.

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Veselić, Ivan. Existence and regularity properties of the integrated density of states of random Schrödinger operators. Berlin: Springer-Verlag, 2007.

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Existence and regularity properties of the integrated density of states of random Schrödinger operators. Berlin: Springer-Verlag, 2008.

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Marrakesh Workshop on Geometric Analysis of Several Complex Variables and Related Topics (2010 Marrakech, Morocco). Geometric analysis of several complex variables and related topics: Marrakesh Workshop on Geometric Analysis of Several Complex Variables and Related Topics, May 10-14, 2010, Marrakesh, Morocco. Edited by Barkatou Y. 1967-. Providence, R.I: American Mathematical Society, 2011.

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Járai, Antal. Regularity Properties of Functional Equations in Several Variables. Springer, 2010.

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Regularity Properties of Functional Equations in Several Variables. New York: Springer-Verlag, 2005. http://dx.doi.org/10.1007/b105379.

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Antoine, Ramon, Hannes Thiel, and Francesc Perera. Tensor Products and Regularity Properties of Cuntz Semigroups. American Mathematical Society, 2018.

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Apushkinskaya, Darya. Free Boundary Problems: Regularity Properties Near the Fixed Boundary. Springer, 2018.

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Regularity Properties of Functional Equations in Several Variables (Advances in Mathematics). Springer, 2005.

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Regularity Properties of Functional Equations in Several Variables (Advances in Mathematics Book 8). Springer US, 2006.

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Book chapters on the topic "Regularity properties"

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Kechris, Alexander S. "Regularity Properties." In Graduate Texts in Mathematics, 226–33. New York, NY: Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-4190-4_29.

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Kaniuth, Eberhard. "Regularity and Related Properties." In Graduate Texts in Mathematics, 1–60. New York, NY: Springer New York, 2008. http://dx.doi.org/10.1007/978-0-387-72476-8_4.

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Agoshkov, Valeri. "Regularity properties of generalized solutions." In Boundary Value Problems for Transport Equations, 164–215. Boston, MA: Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-1-4612-1994-1_4.

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Lieb, Ingo, and Joachim Michel. "Regularity Properties of Admissible Operators." In The Cauchy-Riemann Complex, 255–99. Wiesbaden: Vieweg+Teubner Verlag, 2002. http://dx.doi.org/10.1007/978-3-322-91608-2_8.

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Dontchev, Asen L., and R. Tyrrell Rockafellar. "Regularity Properties Through Generalized Derivatives." In Springer Monographs in Mathematics, 197–250. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-87821-8_4.

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Carinci, Gioia, Anna De Masi, Cristian Giardinà, and Errico Presutti. "Regularity Properties of the Barriers." In SpringerBriefs in Mathematical Physics, 21–25. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-33370-0_4.

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Ioffe, A. D. "Separable Reduction of Metric Regularity Properties." In Springer Optimization and Its Applications, 25–37. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-8615-2_3.

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Kuznetsov, S. E. "Regularity Properties of a Supercritical Superprocess." In The Dynkin Festschrift, 221–35. Boston, MA: Birkhäuser Boston, 1994. http://dx.doi.org/10.1007/978-1-4612-0279-0_13.

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Cornet, Bernard. "Regularity properties of open tangent cones." In Mathematical Programming Studies, 17–33. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0121152.

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De Maria, Bruno, and Nicola Fusco. "Regularity properties of equilibrium configurations of epitaxially strained elastic films." In Topics in Modern Regularity Theory, 169–204. Pisa: Edizioni della Normale, 2012. http://dx.doi.org/10.1007/978-88-7642-427-4_3.

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Conference papers on the topic "Regularity properties"

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Dayhoff, J. E. "Regularity properties in pulse transmission networks." In 1990 IJCNN International Joint Conference on Neural Networks. IEEE, 1990. http://dx.doi.org/10.1109/ijcnn.1990.137964.

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Genglei Li. "Some properties of relative regularity and compactness." In 2010 International Conference on Computer, Mechatronics, Control and Electronic Engineering (CMCE 2010). IEEE, 2010. http://dx.doi.org/10.1109/cmce.2010.5609820.

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Lin, Yuandan, and Yuan Wang. "Remarks on Regularity Properties of Lyapunov-Krasovskii Functionals." In 2018 IEEE 14th International Conference on Control and Automation (ICCA). IEEE, 2018. http://dx.doi.org/10.1109/icca.2018.8444330.

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Pham, Quang-Cuong, and Yoshihiko Nakamura. "Regularity properties and deformation of wheeled robots trajectories." In 2012 IEEE International Conference on Robotics and Automation (ICRA). IEEE, 2012. http://dx.doi.org/10.1109/icra.2012.6225121.

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Naimark, O. B. "Mesodefects Collective Properties and Self-Similar Regularity of Shocked Condensed Matter Behavior." In SHOCK COMPRESSION OF CONDENSED MATTER - 2003: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter. AIP, 2004. http://dx.doi.org/10.1063/1.1780226.

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Maghenem, Mohamed, Berk Altin, and Ricardo G. Sanfelice. "Regularity Properties of Reachability Maps for Hybrid Dynamical Systems with Applications to Safety." In 2020 American Control Conference (ACC). IEEE, 2020. http://dx.doi.org/10.23919/acc45564.2020.9147651.

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Merkulov, V. P., L. A. Krasnoshchekova, M. O. Korovin, and D. A. Cherdantseva. "Regularity of Filitration Properties Distribution in Oil Bearing Reservoir with Complex Geological Structure." In 7th EAGE Saint Petersburg International Conference and Exhibition. Netherlands: EAGE Publications BV, 2016. http://dx.doi.org/10.3997/2214-4609.201600165.

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Fusco, Nicola, and Massimiliano Morini. "Equilibrium Configurations of Epitaxially Strained Elastic Films: Existence, Regularity, and Qualitative Properties of Solutions." In Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Published by Hindustan Book Agency (HBA), India. WSPC Distribute for All Markets Except in India, 2011. http://dx.doi.org/10.1142/9789814324359_0131.

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Shvartsman, Ilya. "Regularity properties of optimal control in a problem with mixed and pure state constraints." In 2010 49th IEEE Conference on Decision and Control (CDC). IEEE, 2010. http://dx.doi.org/10.1109/cdc.2010.5716970.

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Hong, Jian, Dragana Radojcic, and Zoran Petrovic. "The Effect of Structure Regularity of Natural Oils on Properties of Oil-based Epoxy Resins." In 2022 AOCS Annual Meeting & Expo. American Oil Chemists' Society (AOCS), 2022. http://dx.doi.org/10.21748/whdh9748.

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One issue when utilizing natural oils as raw materials for preparing polymers in comparison with petrochemical starting materials is their complexity. Standard natural oils have typically very heterogeneous structure, which is reflected on properties of polymers. However, oils with regular structure such as high oleic oils, offer high degree of regularity approaching that of triolein. Cationic polymerization of epoxidized oils was carried in bulk using tris (pentafuorophenyl)borane. Epoxy resin made solely from epoxidized soybean oil (ESO) was compared with that from epoxidized high oleic algal (ETO) containing over 90 % oleic acid, with triolein as major component. Although epoxidized soybean oil had higher functionality (EOC content), the obtained algal epoxy resin displayed higher glass transition temperature than soybean resin’s. The possible reasons are high oleic algal oil has higher regularity and soybean oil contains high content of saturated fatty acid (15 %), which can act as plasticizer. Moreover, crosslinking in ESBO might involved formation of cyclics from neighboring epoxy groups present in epoxidized linoleic acid and higher local cross-linking density.
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Reports on the topic "Regularity properties"

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Glushko, E. Ya, and A. N. Stepanyuk. Pneumatic photonic crystals: properties and application in sensing and metrology. [б. в.], 2018. http://dx.doi.org/10.31812/123456789/2875.

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A pneumatic photonic crystal i.e. a medium containing regularly distributed gas-filled voids divided by elastic walls is proposed as an optical indicator of pressure and temperature. The indicator includes layered elastic platform, optical fibers and switching valves, all enclosed into a chamber. We have investigated theoretically distribution of deformation and pressure inside a pneumatic photonic crystal, its bandgap structure and light reflection changes depending on external pressure and temperature.
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