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Journal articles on the topic 'Continuous parameter space'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Ding, Wei, Guozhen Lu, and Yueping Zhu. "Discrete Littlewood–Paley–Stein characterization of multi-parameter local Hardy spaces." Forum Mathematicum 31, no. 6 (2019): 1467–88. http://dx.doi.org/10.1515/forum-2019-0038.

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AbstractIn our recent work [W. Ding, G. Lu and Y. Zhu, Multi-parameter local Hardy spaces, Nonlinear Anal. 184 2019, 352–380], the multi-parameter local Hardy space {h^{p}(\mathbb{R}^{n_{1}}\times\mathbb{R}^{n_{2}})} has been introduced by using the continuous inhomogeneous Littlewood–Paley–Stein square functions. In this paper, we will first establish the new discrete multi-parameter local Calderón’s identity. Based on this identity, we will define the local multi-parameter Hardy space {h_{\mathrm{dis}}^{p}(\mathbb{R}^{n_{1}}\times\mathbb{R}^{n_{2}})} by using the discrete inhomogeneous Littl

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2

Kalpazidou, Sophia. "Continuous parameter circuit processes with finite state space." Stochastic Processes and their Applications 39, no. 2 (1991): 301–23. http://dx.doi.org/10.1016/0304-4149(91)90085-q.

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3

Beer, Randall D. "Parameter Space Structure of Continuous-Time Recurrent Neural Networks." Neural Computation 18, no. 12 (2006): 3009–51. http://dx.doi.org/10.1162/neco.2006.18.12.3009.

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A fundamental challenge for any general theory of neural circuits is how to characterize the structure of the space of all possible circuits over a given model neuron. As a first step in this direction, this letter begins a systematic study of the global parameter space structure of continuous-time recurrent neural networks (CTRNNs), a class of neural models that is simple but dynamically universal. First, we explicitly compute the local bifurcation manifolds of CTRNNs. We then visualize the structure of these manifolds in net input space for small circuits. These visualizations reveal a set o

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Goos, Jan, and Rik Pintelon. "Continuous-time identification of periodically parameter-varying state space models." Automatica 71 (September 2016): 254–63. http://dx.doi.org/10.1016/j.automatica.2016.04.013.

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Cai, Guangbin, Changhua Hu, Baojuan Yin, Huafeng He та Xiaojun Han. "Gain-Scheduledℋ2Controller Synthesis for Continuous-Time Polytopic LPV Systems". Mathematical Problems in Engineering 2014 (2014): 1–14. http://dx.doi.org/10.1155/2014/972624.

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This paper is concerned with the problem of gain-scheduledℋ2controller synthesis for continuous-time linear parameter-varying systems. In this problem, the system matrices in the state-space form are polytopic and patameterized and the admissible values of the parameters are assumed to be measurable on-line in a polytope space. By employing a basis-parameter-dependent Lyapunov function and introducing some slack variables to the well-established performance conditions, sufficient conditions for the existence of the desired gain-scheduledℋ2state feedback and dynamic output feedback controllers

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Arutyunov, A. V., and S. E. Zhukovskiy. "On Global Solvability of Nonlinear Equations with Parameters." Doklady Mathematics 103, no. 1 (2021): 57–60. http://dx.doi.org/10.1134/s1064562421010014.

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Abstract We consider smooth mappings acting from one Banach space to another and depending on a parameter belonging to a topological space. Under various regularity assumptions, sufficient conditions for the existence of global and semilocal continuous inverse and implicit functions are obtained. We consider applications of these results to the problem of continuous extension of implicit functions and to the problem of coincidence points of smooth and continuous compact mappings.

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Liu, Chang, and Duane A. McVay. "Continuous Reservoir-Simulation-Model Updating and Forecasting Improves Uncertainty Quantification." SPE Reservoir Evaluation & Engineering 13, no. 04 (2010): 626–37. http://dx.doi.org/10.2118/119197-pa.

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Summary Most reservoir-simulation studies are conducted in a static context—at a single point in time using a fixed set of historical data for history matching. Time and budget constraints usually result in significant reduction in the number of uncertain parameters and incomplete exploration of the parameter space, which results in underestimation of forecast uncertainty and less-than-optimal decision making. Markov Chain Monte Carlo (MCMC) methods have been used in static studies for rigorous exploration of the parameter space for quantification of forecast uncertainty, but these methods suf

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Prix, Reinhard, and Yousuke Itoh. "Global parameter-space correlations of coherent searches for continuous gravitational waves." Classical and Quantum Gravity 22, no. 18 (2005): S1003—S1012. http://dx.doi.org/10.1088/0264-9381/22/18/s14.

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Whelan, John T., Reinhard Prix, Curt J. Cutler, and Joshua L. Willis. "New coordinates for the amplitude parameter space of continuous gravitational waves." Classical and Quantum Gravity 31, no. 6 (2014): 065002. http://dx.doi.org/10.1088/0264-9381/31/6/065002.

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Sayat, Mikhael T., Oliver Thearle, Biveen Shajilal, et al. "Mapping Guaranteed Positive Secret Key Rates for Continuous Variable Quantum Key Distribution." Entropy 26, no. 10 (2024): 865. http://dx.doi.org/10.3390/e26100865.

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The standard way to measure the performance of existing continuous variable quantum key distribution (CVQKD) protocols is by using the achievable secret key rate (SKR) with respect to one parameter while keeping all other parameters constant. However, this atomistic method requires many individual parameter analyses while overlooking the co-dependence of other parameters. In this work, a numerical tool is developed for comparing different CVQKD protocols while taking into account the simultaneous effects of multiple CVQKD parameters on the capability of protocols to produce positive SKRs. Usin

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Tai, Yanni, Haibin Qu, and Xingchu Gong. "Design Space Calculation and Continuous Improvement Considering a Noise Parameter: A Case Study of Ethanol Precipitation Process Optimization for Carthami Flos Extract." Separations 8, no. 6 (2021): 74. http://dx.doi.org/10.3390/separations8060074.

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The optimization of process parameters in the pharmaceutical industry is often carried out according to the Quality by Design (QbD) concept. QbD also emphasizes that continuous improvement should be performed in life cycle management. Process parameters that are difficult to control in actual production can be regarded as noise parameters. In this study, based on the QbD concept, the ethanol precipitation process of Carthami Flos extract was optimized, considering a noise parameter. The density of the concentrated extract, ethanol concentration, the volume ratio of ethanol to concentrated extr

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Yadav, Vijay, and Sarita Singh Bhadauria. "Digital design and optimization of higher order adaptive system using Continuous genetic algorithm." International Journal of Engineering & Technology 1, no. 4 (2012): 290. http://dx.doi.org/10.14419/ijet.v1i4.186.

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An algorithm for design and optimization of higher order adaptive system are presented in this paper. In this work, the algorithm applied on the continuous search space parameter rather than discrete search space parameter. A new continuous genetic operator such that Rank based selection, Normal crossover and mutations are used to improve the rate of convergence and solution quality has been proposed.

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Bogachev, Vladimir Igorevich, and Svetlana Nikolaevna Popova. "Hausdorff distances between couplings and optimal transportation." Sbornik: Mathematics 215, no. 1 (2024): 28–51. http://dx.doi.org/10.4213/sm9920e.

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We consider optimal transportation of measures on metric and topological spaces in the case where the cost function and marginal distributions depend on a parameter with values in a metric space. The Hausdorff distance between the sets of probability measures with prescribed marginals is estimated in terms of the distances between the marginals themselves. This estimate is used to prove the continuity of the cost of optimal transportation with respect to the parameter in the case of the continuous dependence of the cost function and marginal distributions on this parameter. Existence of approx

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Guidetti, Davide, and Sergei Piskarev. "On real interpolation, finite differences, and estimates depending on a parameter for discretizations of elliptic boundary value problems." Abstract and Applied Analysis 2003, no. 18 (2003): 1005–35. http://dx.doi.org/10.1155/s1085337503306359.

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We give some results concerning the real-interpolation method and finite differences. Next, we apply them to estimate the resolvents of finite-difference discretizations of Dirichlet boundary value problems for elliptic equations in space dimensions one and two in analogs of spaces of continuous and Hölder continuous functions. Such results were employed to study finite-difference discretizations of parabolic equations.

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Singh, R., T. Wagener, K. van Werkhoven, M. Mann, and R. Crane. "A trading-space-for-time approach to probabilistic continuous streamflow predictions in a changing climate." Hydrology and Earth System Sciences Discussions 8, no. 4 (2011): 6385–417. http://dx.doi.org/10.5194/hessd-8-6385-2011.

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Abstract. Understanding the implications of potential future climatic conditions for hydrologic services and hazards is a crucial and current science question. The common approach to this problem is to force a hydrologic model, calibrated on historical data or using a priori parameter estimates, with future scenarios of precipitation and temperature. Recent studies suggest that the climatic regime of the calibration period is reflected in the resulting parameter estimates and that the model performance can be negatively impacted if the climate for which projections are made is significantly di

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Low, Kian Hsiang, Wee Kheng Leow, and Marcelo H. Ang. "An Ensemble of Cooperative Extended Kohonen Maps for Complex Robot Motion Tasks." Neural Computation 17, no. 6 (2005): 1411–45. http://dx.doi.org/10.1162/0899766053630378.

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Self-organizing feature maps such as extended Kohonen maps (EKMs) have been very successful at learning sensorimotor control for mobile robot tasks. This letter presents a new ensemble approach, cooperative EKMs with indirect mapping, to achieve complex robot motion. An indirect-mapping EKM self-organizes to map from the sensory input space to the motor control space indirectly via a control parameter space. Quantitative evaluation reveals that indirect mapping can provide finer, smoother, and more efficient motion control than does direct mapping by operating in a continuous, rather than disc

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Yevstafyeva, V. V., and M. Yu Guseva. "STUDY OF PARAMETER SPACE OF MULTIDIMENSIONAL SYSTEM WITH RELAY HYSTERESIS AND PERTURBATION." Дифференциальные уравнения 60, no. 12 (2024): 1601–15. https://doi.org/10.31857/s0374064124120021.

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The object of research is an 𝑛-dimensional system of ordinary differential equations that contains a constant diagonal matrix with real eigenvalues, two-position relay nonlinearity of hysteresis type with a parameter and a continuous periodic perturbation function with a parameter. In the case of a special type of feedback vector (one non-zero element), we obtain conditions for system parameters that ensure the existence of a unique two-point oscillatory periodic solution with a period multiple of the perturbation function period. We establish a functional dependence of the nonlinearity parame

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18

Paasche, Hendrik. "Translating tomographic ambiguity into the probabilistic inference of hydrologic and engineering target parameters." GEOPHYSICS 82, no. 4 (2017): EN67—EN79. http://dx.doi.org/10.1190/geo2015-0618.1.

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Geophysical tomography allows for spatially continuous imaging of physical parameters. In many hydrological or engineering exploration tasks, other parameters than those imaged by geophysical tomography are of higher interest, but they cannot be measured continuously in space. We have developed a methodology linking multiple tomograms imaging different physical parameters with a sparsely measured target parameter striving to achieve probabilistic, spatially continuous predictions of the target parameter distribution. Building on a fully nonlinear tomographic model reconstruction searching the

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GAZOR, MAJID, and PEI YU. "INFINITE ORDER PARAMETRIC NORMAL FORM OF HOPF SINGULARITY." International Journal of Bifurcation and Chaos 18, no. 11 (2008): 3393–408. http://dx.doi.org/10.1142/s0218127408022445.

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In this paper, we introduce a suitable algebraic structure for efficient computation of the parametric normal form of Hopf singularity based on a notion of formal decompositions. Our parametric state and time spaces are respectively graded parametric Lie algebra and graded ring. As a consequence, the parametric state space is also a graded module. Parameter space is observed as an integral domain as well as a vector space, while the near-identity parameter map acts on the parametric state space. The method of multiple Lie bracket is used to obtain an infinite order parametric normal form of co

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LOPUSHANSKY, OLEH, and SERGII SHARYN. "Operators commuting with multi-parameter shift semigroups." Carpathian Journal of Mathematics 30, no. 2 (2014): 217–24. http://dx.doi.org/10.37193/cjm.2014.02.07.

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Using operators of cross-correlation with ultradistributions supported by a positive cone, we describe a commutative algebra of shift-invariant continuous linear operators, commuting with contraction multi-parameter semigroups over a Banach space. Thereby, we generalize classic Schwartz’s and Hormander’s theorems on shift-invariant operators.

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21

HANNIEL, I., M. RAMANATHAN, G. ELBER, and M. S. KIM. "PRECISE VORONOI CELL EXTRACTION OF FREE-FORM PLANAR PIECEWISE C1-CONTINUOUS CLOSED RATIONAL CURVES." International Journal of Computational Geometry & Applications 17, no. 05 (2007): 453–86. http://dx.doi.org/10.1142/s0218195907002446.

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We present an algorithm for generating Voronoi cells for a set of planar piecewise C1-continuous closed rational curves, which is precise up to machine precision. The algorithm starts with the symbolically generated bisectors for pairs of C1-continuous curve segments (C(t),Ci(r)). The bisectors are represented implicitly in the tr-parameter space. Then, they are properly trimmed after being split into monotone pieces. The trimming procedure uses the orientation of the original curves as well as their curvature fields, resulting in a set of trimmed-bisector segments represented as implicit curv

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22

Wang, Yang, and Denis Voskov. "High-Enthalpy Geothermal Simulation with Continuous Localization in Physics." Mathematics 10, no. 22 (2022): 4328. http://dx.doi.org/10.3390/math10224328.

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Simulation of heat production in high-enthalpy geothermal systems is associated with a complex physical process in which cold water invades steam-saturated control volumes. The fully implicit, fully coupled numerical strategy is commonly adopted to solve the governing system composed of mass and energy conservation equations. A conventional nonlinear solver is generally challenged by the strong nonlinearity present during phase transition because of a huge contrast of thermodynamics between hot steam and cool water. In the process of solution, due to the steam condensation, the reduction in fl

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23

McCarty, Sarah. "Piecewise linear functions representable with infinite width shallow ReLU neural networks." Proceedings of the American Mathematical Society, Series B 10, no. 27 (2023): 296–310. http://dx.doi.org/10.1090/bproc/186.

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This paper analyzes representations of continuous piecewise linear functions with infinite width, finite cost shallow neural networks using the rectified linear unit (ReLU) as an activation function. Through its integral representation, a shallow neural network can be identified by the corresponding signed, finite measure on an appropriate parameter space. We map these measures on the parameter space to measures on the projective n n -sphere cross R \mathbb {R} , allowing points in the parameter space to be bijectively mapped to hyperplanes in the domain of the function. We prove a conjecture

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Dudek, Szymon, and Leszek Olszowy. "Continuous Dependence of the Solutions of Nonlinear Integral Quadratic Volterra Equation on the Parameter." Journal of Function Spaces 2015 (2015): 1–9. http://dx.doi.org/10.1155/2015/471235.

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We prove results on the existence and continuous dependence of solutions of a nonlinear quadratic integral Volterra equation on a parameter. This dependence is investigated in terms of Hausdorff distance. The considerations are placed in the Banach space and the Fréchet space.

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25

LI, DESHENG, and P. E. KLOEDEN. "EQUI-ATTRACTION AND THE CONTINUOUS DEPENDENCE OF PULLBACK ATTRACTORS ON PARAMETERS." Stochastics and Dynamics 04, no. 03 (2004): 373–84. http://dx.doi.org/10.1142/s0219493704001061.

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The equi-attraction properties of uniform pullback attractors [Formula: see text] of nonautonomous dynamical systems (θ,ϕλ) with a parameter λ∈Λ, where Λ is a compact metric space, are investigated; here θ is an autonomous dynamical system on a compact metric space P which drives the cocycle ϕλon a complete metric state space X. In particular, under appropriate regularity conditions, it is shown that the equi-attraction of the family [Formula: see text] uniformly in p∈P is equivalent to the continuity of the setvalued mappings [Formula: see text] in λ with respect to the Hausdorff metric on th

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WILSON, RAJ, and ELIZABETH TANNER. "IRREDUCIBLE UNITARY REPRESENTATIONS OF SUp,q II: THE CONTINUOUS SERIES." International Journal of Mathematics 12, no. 01 (2001): 37–47. http://dx.doi.org/10.1142/s0129167x01000617.

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A class of irreducible unitary representations belonging to the continuous series of SUp,q is explicitly determined in a space composed of the Kronecker product of three spaces of square integrable functions. The continuous series corresponds to a Cartan subgroup whose vector part has maximal dimension. These representations are distinguished by a parameter r = 1, 2, …, p for p ≤ q in SUp,q. For r = 0, one obtains the representations in the discrete series as in [5], and all representations in the continuous series, for r ≠ 0, are obtained explicitly.

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Esquível, Manuel L., and Nadezhda P. Krasii. "Statistics for Continuous Time Markov Chains, a Short Review." Axioms 14, no. 4 (2025): 283. https://doi.org/10.3390/axioms14040283.

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This review article is concerned to provide a global context to several works on the fitting of continuous time nonhomogeneous Markov chains with finite state space and also to point out some selected aspects of two techniques previously introduced—estimation and calibration—relevant for applications and used to fit a continuous time Markov chain model to data by the adequate selection of parameters. The denomination estimation suits the procedure better when statistical techniques—e.g., maximum likelihood estimators—are employed, while calibration covers the case where, for instance, some opt

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Rech, Paulo C. "Nonlinear Dynamics of Two Discrete-Time Versions of the Continuous-Time Brusselator Model." International Journal of Bifurcation and Chaos 29, no. 10 (2019): 1950142. http://dx.doi.org/10.1142/s0218127419501426.

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In this paper, we report results related with the dynamics of two discrete-time mathematical models, which are obtained from a same continuous-time Brusselator model consisting of two nonlinear first-order ordinary differential equations. Both discrete-time mathematical models are derived by integrating the set of ordinary differential equations, but using different methods. Such results are related, in each case, with parameter-spaces of the two-dimensional map which results from the respective discretization process. The parameter-spaces obtained using both maps are then compared, and we sho

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Feuerbacher, M. "Moiré, Euler and self-similarity – the lattice parameters of twisted hexagonal crystals." Acta Crystallographica Section A Foundations and Advances 77, no. 5 (2021): 460–71. http://dx.doi.org/10.1107/s2053273321007245.

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A real-space approach for the calculation of the moiré lattice parameters for superstructures formed by a set of rotated hexagonal 2D crystals such as graphene or transition-metal dichalcogenides is presented. Apparent moiré lattices continuously form for all rotation angles, and their lattice parameter to a good approximation follows a hyperbolical angle dependence. Moiré crystals, i.e. moiré lattices decorated with a basis, require more crucial assessment of the commensurabilities and lead to discrete solutions and a non-continuous angle dependence of the moiré-crystal lattice parameter. In

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A. Monteiro, Giselle, and Milan Tvrdý. "Generalized linear differential equations in a Banach space: Continuous dependence on a parameter." Discrete & Continuous Dynamical Systems - A 33, no. 1 (2013): 283–303. http://dx.doi.org/10.3934/dcds.2013.33.283.

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Jing, Feng, Xiaowen Liu, Xingyu Wang, et al. "Compressive sensing based parameter estimation for free-space continuous-variable quantum key distribution." Optics Express 30, no. 5 (2022): 8075. http://dx.doi.org/10.1364/oe.447526.

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Beskos, Alexandros, Dan Crisan, Ajay Jasra, Nikolas Kantas, and Hamza Ruzayqat. "Score-Based Parameter Estimation for a Class of Continuous-Time State Space Models." SIAM Journal on Scientific Computing 43, no. 4 (2021): A2555—A2580. http://dx.doi.org/10.1137/20m1362942.

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Kushner, H. J., and A. Shwartz. "Stochastic Approximation in Hilbert Space: Identification and Optimization of Linear Continuous Parameter Systems." SIAM Journal on Control and Optimization 23, no. 5 (1985): 774–93. http://dx.doi.org/10.1137/0323047.

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Carmona, René A., and Frederi G. Viens. "Almost-sure exponential behavior of a stochastic anderson model with continuous space parameter." Stochastics and Stochastic Reports 62, no. 3-4 (1998): 251–73. http://dx.doi.org/10.1080/17442509808834135.

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Djurisic, Aleksandra B., Jovan M. Elazar, and A. D. Rakic. "Genetic algorithms for continuous optimization problems - a concept of parameter-space size adjustment." Journal of Physics A: Mathematical and General 30, no. 22 (1997): 7849–61. http://dx.doi.org/10.1088/0305-4470/30/22/022.

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Behrens, Hans Walter, K. Selçuk Candan, Xilun Chen, et al. "DataStorm: Coupled, Continuous Simulations for Complex Urban Environments." ACM/IMS Transactions on Data Science 2, no. 3 (2021): 1–37. http://dx.doi.org/10.1145/3447572.

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Urban systems are characterized by complexity and dynamicity. Data-driven simulations represent a promising approach in understanding and predicting complex dynamic processes in the presence of shifting demands of urban systems. Yet, today’s silo-based, de-coupled simulation engines fail to provide an end-to-end view of the complex urban system, preventing informed decision-making. In this article, we present DataStorm to support integration of existing simulation, analysis and visualization components into integrated workflows. DataStorm provides a flow engine, DataStorm-FE , for coordinating

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Fendler, Gero. "Dilations of one Parameter Semigroups of Positive Contractions on Lp Spaces." Canadian Journal of Mathematics 49, no. 4 (1997): 736–48. http://dx.doi.org/10.4153/cjm-1997-036-x.

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AbstractIt is proved in this note, that a strongly continuous semigroup of (sub)positive contractions acting on an Lp-space, for 1 < p < ∞ p ≠ 2, can be dilated by a strongly continuous group of (sub)positive isometries in a manner analogous to the dilation M. A. Akçoglu and L. Sucheston constructed for a discrete semigroup of (sub)positive contractions. From this an improvement of a von Neumann type estimation, due to R. R.Coifman and G.Weiss, on the transfer map belonging to the semigroup is deduced.

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Duan, Qihong, Ying Wei, and Xiang Chen. "Uniqueness of Maximum Likelihood Estimators for a Backup System in a Condition-Based Maintenance." International Journal of Quality, Statistics, and Reliability 2012 (November 28, 2012): 1–5. http://dx.doi.org/10.1155/2012/675830.

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A parameter estimation problem for a backup system in a condition-based maintenance is considered. We model a backup system by a hidden, three-state continuous time Markov process. Data are obtained through condition monitoring at discrete time points. Maximum likelihood estimates of the model parameters are obtained using the EM algorithm. We establish conditions under which there is no more than one limitation in the parameter space for any sequence derived by the EM algorithm.

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Dube, Mridula, and Reenu Sharma. "Cubic TP B-Spline Curves with a Shape Parameter." International Journal of Engineering Research in Africa 11 (October 2013): 59–72. http://dx.doi.org/10.4028/www.scientific.net/jera.11.59.

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In this paper a new kind of splines, called cubic trigonometric polynomial B-spline (cubic TP B-spline) curves with a shape parameter, are constructed over the space spanned by As each piece of the curve is generated by three consecutive control points, they posses many properties of the quadratic B-spline curves. These trigonometric curves with a non-uniform knot vector are C1 and G2 continuous. They are C2 continuous when choosing special shape parameter for non-uniform knot vector. These curves are closer to the control polygon than the quadratic B-spline curves when choosing special shape

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Yamada, Kazuaki. "Network Parameter Setting for Reinforcement Learning Approaches Using Neural Networks." Journal of Advanced Computational Intelligence and Intelligent Informatics 15, no. 7 (2011): 822–930. http://dx.doi.org/10.20965/jaciii.2011.p0822.

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Reinforcement learning approaches are attracting attention as a technique for constructing a trial-anderror mapping function between sensors and motors of an autonomous mobile robot. Conventional reinforcement learning approaches use a look-up table to express the mapping function between grid state and grid action spaces. The grid size greatly adversely affects the learning performance of reinforcement learning algorithms. To avoid this, researchers have proposed reinforcement learning algorithms using neural networks to express the mapping function between continuous state space and action.

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ANDREI, ALINA. "THE PARAMETER SPACE OF A QUADRATIC FAMILY OF POLYNOMIAL MAPS OF ℂ2". International Journal of Mathematics 19, № 05 (2008): 541–56. http://dx.doi.org/10.1142/s0129167x08004819.

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In this paper, we study the parameter space of the quadratic polynomial family fλ,μ(z, w) = (λz + w2, μw + z2), which exhibits interesting dynamics. Two distinct subsets of the parameter space are studied as appropriate analogs of the one-dimensional Mandelbrot set and some of their properties are proved by using Lyapunov exponents. In the more general context of holomorphic families of regular maps, we show that the sum of the Lyapunov exponents is a plurisubharmonic function of the parameter, and pluriharmonic on the set of expanding maps. Moreover, for the family fλ,μ, we prove that the sum

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CHEN, JIAN-SHENG, and WEI-XUE SHI. "A NOTE ON CONTINUOUSLY URYSOHN SPACES." Bulletin of the Australian Mathematical Society 80, no. 3 (2009): 472–75. http://dx.doi.org/10.1017/s0004972709000501.

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Santiago, Eduardo. "Design of robust parameter experiments in a continuous space using an evolutionary optimization algorithm." Journal of Statistical Computation and Simulation 82, no. 6 (2012): 825–47. http://dx.doi.org/10.1080/00949655.2011.559470.

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JAMISON, JAMES, and RAENA KING. "UNBOUNDED HERMITIAN OPERATORS ON KOLASKI SPACES." Glasgow Mathematical Journal 56, no. 3 (2013): 507–17. http://dx.doi.org/10.1017/s0017089513000426.

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AbstractWe investigate strongly continuous one-parameter (C0) groups of isometries acting on certain spaces of analytical functions which were introduced by Kolaski (C. J. Kolaski, Isometries of some smooth normed spaces of analytic functions, Complex Var. Theory Appl. 10(2–3) (1988), 115–122). We characterize the generators of these groups of isometries and also the spectrum of the generators. We provide an example on the Bloch space of an unbounded hermitian operator with non-compact resolvent.

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Ziaeepour, Houri. "SU(∞) Quantum Gravity and Cosmology." Symmetry 16, no. 12 (2024): 1672. https://doi.org/10.3390/sym16121672.

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In this letter, we highlight the structure and main properties of an abstract approach to quantum cosmology and gravity, dubbed SU(∞)-QGR. Beginning from the concept of the Universe as an isolated quantum system, the main axiom of the model is the existence of an infinite number of mutually commuting observables. Consequently, the Hilbert space of the Universe represents SU(∞) symmetry. This Universe as a whole is static and topological. Nonetheless, quantum fluctuations induce local clustering in its quantum state and divide it into approximately isolated subsystems representing G×SU(∞), wher

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YILDIZ, IZZET BURAK. "Discontinuity of topological entropy for Lozi maps." Ergodic Theory and Dynamical Systems 32, no. 5 (2011): 1783–800. http://dx.doi.org/10.1017/s0143385711000411.

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AbstractRecently, Buzzi [Maximal entropy measures for piecewise affine surface homeomorphisms. Ergod. Th. & Dynam. Sys.29 (2009), 1723–1763] showed in the compact case that the entropy map f→htop(f) is lower semi-continuous for all piecewise affine surface homeomorphisms. We prove that topological entropy for Lozi maps can jump from zero to a value above 0.1203 as one crosses a particular parameter and hence it is not upper semi-continuous in general. Moreover, our results can be extended to a small neighborhood of this parameter showing the jump in the entropy occurs along a line segment

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Gou, Zhi Jian, and Cheng Wang. "The Trajectory Planning and Simulation for Industrial Robot Based on Fifth-Order B-Splines." Applied Mechanics and Materials 538 (April 2014): 367–70. http://dx.doi.org/10.4028/www.scientific.net/amm.538.367.

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The trajectory is planned with fifth-order uniform B-splines for the industrial robot aimed to assure the motion is smooth and the trajectory is fourth-order continuous. Under the premise to satisfy the initial kinematic parameters of the robot as zero, its speed, acceleration and jerk are continuous. Based on B-spline theory, process five B-spline curve function is calculated inversely in joint space. Under the robot kinematics parameter constraints, using fifth-order B-spline interpolates to plan robot trajectory when known interpolation points and the kinematic parameters are simulated and

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Ray, Arnob, and Dibakar Ghosh. "Another New Chaotic System: Bifurcation and Chaos Control." International Journal of Bifurcation and Chaos 30, no. 11 (2020): 2050161. http://dx.doi.org/10.1142/s0218127420501618.

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We propose a new simple three-dimensional continuous autonomous model with two nonlinear terms and observe the dynamical behavior with respect to system parameters. This system changes the stability of fixed point via Hopf bifurcation and then undergoes a cascade of period-doubling route to chaos. We analytically derive the first Lyapunov coefficient to investigate the nature of Hopf bifurcation. We investigate well-separated regions for different kinds of attractors in the two-dimensional parameter space. Next, we introduce a timescale ratio parameter and calculate the slow manifold using geo

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Leonov, I. A., and V. L. Sobolev. "The relation between crystal and magnetic defects." Soviet Journal of Low Temperature Physics 13, no. 3 (1987): 184–85. https://doi.org/10.1063/10.0031673.

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Disclinations in collinear antiferromagnets and cubic ferromagnets are shown to generate linear magnetic defects. These and similar crystallomagnetic singularities are considered from the point of view of the topological theory of defects in ordered media. It is shown that in the case of a cubic magnetic the orderparameter space for a crystallomagnetic medium is not a direct product of order-parameter spaces for continuous magnetic and crystalline nonmagnetic medium.

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VULAKH, L. YA. "HERMITIAN POINTS IN MARKOV SPECTRA." International Journal of Number Theory 06, no. 04 (2010): 713–30. http://dx.doi.org/10.1142/s1793042110003186.

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Let Hn be the upper half-space model of the n-dimensional hyperbolic space. For n=3, Hermitian points in the Markov spectrum of the extended Bianchi group Bd are introduced for any d. If ν is a Hermitian point in the spectrum, then there is a set of extremal geodesics in H3 with diameter 1/ν, which depends on one continuous parameter. It is shown that ν2 ≤ |D|/24 for any imaginary quadratic field with discriminant D, whose ideal-class group contains no cyclic subgroup of order 4, and in many other cases. Similarly, in the case of n = 4, if ν is a Hermitian point in the Markov spectrum for SV(Z

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