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Journal articles on the topic 'Parametric Space'

Author: Grafiati

Published: 6 September 2023

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1

Taş, Nihal, and Nihal Yılmaz Özgür. "On ParametricS-Metric Spaces and Fixed-Point Type Theorems for Expansive Mappings." Journal of Mathematics 2016 (2016): 1–6. http://dx.doi.org/10.1155/2016/4746732.

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We introduce the notion of a parametricS-metric space as generalization of a parametric metric space. Using some expansive mappings, we prove a fixed-point theorem on a parametricS-metric space. It is important to obtain new fixed-point theorems on a parametricS-metric space because there exist some parametricS-metrics which are not generated by any parametric metric. We expect that many mathematicians will study various fixed-point theorems using new expansive mappings (or contractive mappings) in a parametricS-metric space.

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2

GAZOR, MAJID, and PEI YU. "INFINITE ORDER PARAMETRIC NORMAL FORM OF HOPF SINGULARITY." International Journal of Bifurcation and Chaos 18, no. 11 (November 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 codimension-one Hopf singularity. Filtration topology is revisited and proved that state, parameter and time (near-identity) maps are continuous. Furthermore, parametric normal form is a convergent process with respect to filtration topology. All the results presented in this paper are verified by using Maple.

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Ali, Muhammad Usman, Hassen Aydi, Asma Batool, Vahid Parvaneh, and Naeem Saleem. "Single and Multivalued Maps on Parametric Metric Spaces Endowed with an Equivalence Relation." Advances in Mathematical Physics 2022 (January 28, 2022): 1–11. http://dx.doi.org/10.1155/2022/6188108.

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This article presents the E -parametric metric space, which is a generalized concept of parametric metric space. After that, the discussion is concerned with the existence of fixed points of single and multivalued maps on E -parametric metric spaces satisfying some contractive inequalities defined by an auxiliary function.

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Golz, Marcel, Erik Panzer, and Oliver Schnetz. "Graphical functions in parametric space." Letters in Mathematical Physics 107, no. 6 (December 20, 2016): 1177–92. http://dx.doi.org/10.1007/s11005-016-0935-6.

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5

Fries, William D., Xiaolong He, and Youngsoo Choi. "LaSDI: Parametric Latent Space Dynamics Identification." Computer Methods in Applied Mechanics and Engineering 399 (September 2022): 115436. http://dx.doi.org/10.1016/j.cma.2022.115436.

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6

Nakamura, Tadas K., and C. F. Kennel. "Parametric Cyclotron Resonance in Space Plasmas." Journal of Geophysical Research 98, A12 (1993): 21335–39. http://dx.doi.org/10.1029/93ja01523.

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7

Januszkiewicz, Krystyna, and Karol G. Kowalski. "Parametric Architecture in the Urban Space." IOP Conference Series: Materials Science and Engineering 245 (October 2017): 052082. http://dx.doi.org/10.1088/1757-899x/245/5/052082.

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8

Karger, Adolf. "The Darboux theorem on plane trajectories of two-parametric space motions." Applications of Mathematics 33, no. 6 (1988): 417–42. http://dx.doi.org/10.21136/am.1988.104322.

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9

Pushkar, Svetlana. "Relationship between Project Space Types, Optimize Energy Performance Credit, and Project Size in LEED-NC Version 4 (v4) Projects: A Case Study." Buildings 12, no. 6 (June 20, 2022): 862. http://dx.doi.org/10.3390/buildings12060862.

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A previous study (Pushkar 2021) showed a significant non-parametric correlation between the Optimize Energy Performance credit from the energy and atmosphere category (EAc7) and project size in Leadership in Energy and Environmental Design for New Construction and Major Renovations version 4 (LEED-NC v4) office space projects. However, in such an empirical analysis, there are at least two problems: the choice between parametric and non-parametric statistics, and the choice between the Wilcoxon–Mann–Whitney (WMW) and analysis of covariance (ANCOVA) non-parametric tests. This study aims to evaluate EAc7 credit achievement for different types of spaces in LEED-NC v4 projects. We show that, in order to evaluate the differences between two LEED data groups, (1) a non-parametric procedure is preferable to a parametric one, and (2) if there is Spearman’s correlation between EAc7 credit achievement and project size for the same LEED-NC v4 project, then Quade’s ANCOVA is preferable to WMW. The results of these tests show that, in two out of three cases, office space projects had better EAc7 credit achievement than higher-education spaces at the gold certification level and public assembly spaces at the silver certification level.

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10

Osman, M. S., A. M. Abd Elazeem, M. A. Elsisy, and M. M. Rashwan. "Duality in the fuzzy-parametric space for fuzzy-parametric nonlinear programming problem." OPSEARCH 55, no. 3-4 (November 2018): 662–76. http://dx.doi.org/10.1007/s12597-018-0344-y.

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11

Schwab, Christoph, and Claude Jeffrey Gittelson. "Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs." Acta Numerica 20 (April 28, 2011): 291–467. http://dx.doi.org/10.1017/s0962492911000055.

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Partial differential equations (PDEs) with random input data, such as random loadings and coefficients, are reformulated as parametric, deterministic PDEs on parameter spaces of high, possibly infinite dimension. Tensorized operator equations for spatial and temporal k-point correlation functions of their random solutions are derived. Parametric, deterministic PDEs for the laws of the random solutions are derived. Representations of the random solutions' laws on infinite-dimensional parameter spaces in terms of ‘generalized polynomial chaos’ (GPC) series are established. Recent results on the regularity of solutions of these parametric PDEs are presented. Convergence rates of best N-term approximations, for adaptive stochastic Galerkin and collocation discretizations of the parametric, deterministic PDEs, are established. Sparse tensor products of hierarchical (multi-level) discretizations in physical space (and time), and GPC expansions in parameter space, are shown to converge at rates which are independent of the dimension of the parameter space. A convergence analysis of multi-level Monte Carlo (MLMC) discretizations of PDEs with random coefficients is presented. Sufficient conditions on the random inputs for superiority of sparse tensor discretizations over MLMC discretizations are established for linear elliptic, parabolic and hyperbolic PDEs with random coefficients.

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12

Strunin, Dmitry V., and Mayada Gassab Mohammed. "Parametric space for nonlinearly excited phase equation." ANZIAM Journal 53 (June 18, 2012): 236. http://dx.doi.org/10.21914/anziamj.v53i0.5065.

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13

Schwab, B., and T. H. Kolbe. "VALIDATION OF PARAMETRIC OPENDRIVE ROAD SPACE MODELS." ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences X-4/W2-2022 (October 14, 2022): 257–64. http://dx.doi.org/10.5194/isprs-annals-x-4-w2-2022-257-2022.

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Abstract. The standard OpenDRIVE is widely used for exchanging road space models in order to simulate the traffic of a city or individual driving situations. For modeling continuous road courses at lane level, OpenDRIVE utilizes its own parametric geometry model. However, violations of continuity requirements due to geometric leaps or kinks can cause the vehicle dynamics simulation to fail when testing vehicle components. But also defective lane predecessor and successor relations can result in an OpenDRIVE dataset not being usable as a reference map for vehicle navigation. Since these geometric, topological, and semantic constraints go beyond the rules encoded in the schema, this article presents a framework and a first implementation for validating OpenDRIVE datasets. As the lane widths are defined parametrically relative to the reference line of the respective road, lane connectivities at road transitions are evaluated using explicit geometries derived from the parametric geometry representations. Moreover, a derived CityGML representation enables a visual inspection of the parametric models to identify unexpected but visible defects. The implemented framework is applied to examine a total of 99 OpenDRIVE datasets, where significant lane gaps were detected in the explicit representation for about 20% of the datasets.

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Howarth, Douglas K. "Trade Space, Product Optimization, and Parametric Analysis." Journal of Cost Analysis and Parametrics 7, no. 1 (January 2, 2014): 2–19. http://dx.doi.org/10.1080/1941658x.2014.890086.

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15

Galrinho, Miguel, Cristian R. Rojas, and Hakan Hjalmarsson. "Parametric Identification Using Weighted Null-Space Fitting." IEEE Transactions on Automatic Control 64, no. 7 (July 2019): 2798–813. http://dx.doi.org/10.1109/tac.2018.2877673.

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16

Perjés, Zoltán. "The parametric manifold picture of space-time." Nuclear Physics B 403, no. 3 (August 1993): 809–37. http://dx.doi.org/10.1016/0550-3213(93)90371-u.

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17

Polosin, V. G. "Mapping distributions in the entropy-parametric space." Journal of Physics: Conference Series 1515 (April 2020): 032044. http://dx.doi.org/10.1088/1742-6596/1515/3/032044.

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18

Sheng, X., and B. E. Hirsch. "Triangulation of trimmed surfaces in parametric space." Computer-Aided Design 24, no. 8 (August 1992): 437–44. http://dx.doi.org/10.1016/0010-4485(92)90011-x.

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19

Sopov, D., E. Protsenko, and V. Mironenko. "Thesaurus of Parametric Formation Paradigm Architectural Space." IOP Conference Series: Materials Science and Engineering 907 (August 26, 2020): 012009. http://dx.doi.org/10.1088/1757-899x/907/1/012009.

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20

Wagner, Michael, Reyko Tech, Manfred Fuchs, Jörn Kastner, and Fernando Gasca. "Statistical non-parametric mapping in sensor space." Biomedical Engineering Letters 7, no. 3 (February 6, 2017): 193–203. http://dx.doi.org/10.1007/s13534-017-0015-6.

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21

Newton, Nigel J. "A class of non-parametric statistical manifolds modelled on Sobolev space." Information Geometry 2, no. 2 (November 25, 2019): 283–312. http://dx.doi.org/10.1007/s41884-019-00024-z.

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AbstractWe construct a family of non-parametric (infinite-dimensional) manifolds of finite measures on $${\mathbb {R}}^d$$Rd, each containing a smoothly embedded submanifold of probability measures. The manifolds are modelled on a variety of weighted Sobolev spaces, including Hilbert–Sobolev spaces and mixed-norm spaces, and support the Fisher–Rao metric as a weak Riemannian metric. Densities are expressed in terms of a deformed exponential function having linear growth. Unusually for the Sobolev context, and as a consequence of its linear growth, this “lifts” to a nonlinear superposition (Nemytskii) operator that acts continuously on a particular class of mixed-norm model spaces, and on the fixed norm space $$W^{2,1}$$W2,1; i.e. it maps each of these spaces continuously into itself. In contrast with non-parametric exponential manifolds, the density itself belongs to the model space, and the range of the chart is the whole of this space. Some of the results make essential use of a log-Sobolev embedding theorem, which also sharpens existing results concerning the regularity of statistical divergences on the manifolds. Applications to the stochastic partial differential equations of nonlinear filtering (and hence to the Fokker–Planck equation) are outlined.

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Petwal, Sudheer, Anita Tomar, and Meena Joshi. "On unique and non-unique fixed point in parametric N _b −metric spaces with application." Acta Universitatis Sapientiae, Mathematica 14, no. 2 (December 1, 2022): 278–307. http://dx.doi.org/10.2478/ausm-2022-0019.

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Abstract We propose 𝒮𝒜, η−𝒮𝒜, η−𝒮 𝒜min, and 𝒮𝒜η,δ,ζ−contractions and notions of η−admissibility type b and η b −regularity in parametric N b -metric spaces to determine a unique fixed point, a unique fixed circle, and a greatest fixed disc. Further, we investigate the geometry of non-unique fixed points of a self mapping and demonstrate by illustrative examples that a circle or a disc in parametric N b −metric space is not necessarily the same as a circle or a disc in a Euclidean space. Obtained outcomes are extensions, unifications, improvements, and generalizations of some of the well-known previous results. We provide non-trivial illustrations to exhibit the importance of our explorations. Towards the end, we resolve the system of linear equations to demonstrate the significance of our contractions in parametric N b −metric space.

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23

Koc Ozturk, Esra Betul. "A Note on Parametric Surfaces in Minkowski 3-Space." Scientific World Journal 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/618340.

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With the help of the Frenet frame of a given pseudo null curve, a family of parametric surfaces is expressed as a linear combination of this frame. The necessary and sufficient conditions are examined for that curve to be an isoparametric and asymptotic on the parametric surface. It is shown that there is not any cylindrical and developable ruled surface as a parametric surface. Also, some interesting examples are illustrated about these surfaces.

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24

Ali, Mohammed, and Oqlah Al-Refai. "Boundedness of Generalized Parametric Marcinkiewicz Integrals Associated to Surfaces." Mathematics 7, no. 10 (September 23, 2019): 886. http://dx.doi.org/10.3390/math7100886.

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In this article, the boundedness of the generalized parametric Marcinkiewicz integral operators M Ω , ϕ , h , ρ ( r ) is considered. Under the condition that Ω is a function in L q ( S n - 1 ) with q ∈ ( 1 , 2 ] , appropriate estimates of the aforementioned operators from Triebel–Lizorkin spaces to L p spaces are obtained. By these estimates and an extrapolation argument, we establish the boundedness of such operators when the kernel function Ω belongs to the block space B q 0 , ν - 1 ( S n - 1 ) or in the space L ( l o g L ) ν ( S n - 1 ) . Our results represent improvements and extensions of some known results in generalized parametric Marcinkiewicz integrals.

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25

Iwata, Tomoharu, Kazumi Saito, Naonori Ueda, Sean Stromsten, Thomas L. Griffiths, and Joshua B. Tenenbaum. "Parametric Embedding for Class Visualization." Neural Computation 19, no. 9 (September 2007): 2536–56. http://dx.doi.org/10.1162/neco.2007.19.9.2536.

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We propose a new method, parametric embedding (PE), that embeds objects with the class structure into a low-dimensional visualization space. PE takes as input a set of class conditional probabilities for given data points and tries to preserve the structure in an embedding space by minimizing a sum of Kullback-Leibler divergences, under the assumption that samples are generated by a gaussian mixture with equal covariances in the embedding space. PE has many potential uses depending on the source of the input data, providing insight into the classifier's behavior in supervised, semisupervised, and unsupervised settings. The PE algorithm has a computational advantage over conventional embedding methods based on pairwise object relations since its complexity scales with the product of the number of objects and the number of classes. We demonstrate PE by visualizing supervised categorization of Web pages, semisupervised categorization of digits, and the relations of words and latent topics found by an unsupervised algorithm, latent Dirichlet allocation.

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26

HOANG, VIET HA, and CHRISTOPH SCHWAB. "REGULARITY AND GENERALIZED POLYNOMIAL CHAOS APPROXIMATION OF PARAMETRIC AND RANDOM SECOND-ORDER HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS." Analysis and Applications 10, no. 03 (July 2012): 295–326. http://dx.doi.org/10.1142/s0219530512500145.

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Initial boundary value problems of linear second-order hyperbolic partial differential equations whose coefficients depend on countably many random parameters are reduced to a parametric family of deterministic initial boundary value problems on an infinite dimensional parameter space. This parametric family is approximated by Galerkin projection onto finitely supported polynomial systems in the parameter space. We establish uniform stability with respect to the support of the resulting coupled hyperbolic systems, and provide sufficient smoothness and compatibility conditions on the data for the solution to exhibit analytic, respectively, Gevrey regularity with respect to the countably many parameters. Sufficient conditions for the p-summability of the generalized polynomial chaos expansion of the parametric solution in terms of the countably many input parameters are obtained and rates of convergence of best N-term polynomial chaos type approximations of the parametric solution are given. In addition, regularity both in space and time for the parametric family of solutions is proved for data satisfying certain compatibility conditions. The results allow obtaining convergence rates and stability of sparse space-time tensor product Galerkin discretizations in the parameter space.

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27

Düldül, Mustafa, and Merih Özçetin. "Intersection curve of two parametric surfaces in Euclidean n-space." Acta et Commentationes Universitatis Tartuensis de Mathematica 25, no. 2 (November 17, 2021): 259–79. http://dx.doi.org/10.12697/acutm.2021.25.17.

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The aim of this paper is to study the differential geometric properties of the intersection curve of two parametric surfaces in Euclidean n-space. For this aim, we first present the mth order derivative formula of a curve lying on a parametric surface. Then, we obtain curvatures and Frenet vectors of the transversal intersection curve of two parametric surfaces in Euclidean n-space. We also provide computer code produced in MATLAB to simplify determining the coefficients relative to Frenet frame of higher order derivatives of a curve.

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Bhardwaj, R. "FIXED POINT THEOREMS IN SOFT PARAMETRIC METRIC SPACE." Advances in Mathematics: Scientific Journal 9, no. 11 (November 21, 2020): 10189–94. http://dx.doi.org/10.37418/amsj.9.12.11.

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29

Gashnikov, M. V. "Parametric Space Dimensionality Reduction in Multidimensional Signal Interpolation." Optical Memory and Neural Networks 28, no. 2 (April 2019): 95–100. http://dx.doi.org/10.3103/s1060992x19020024.

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30

Stephens, Kyle. "Single-variable parametric cost models for space telescopes." Optical Engineering 49, no. 7 (July 1, 2010): 073006. http://dx.doi.org/10.1117/1.3456582.

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31

Castro e Costa, Eduardo, Joaquim Jorge, Aaron D. Knochel, and José Pinto Duarte. "Enabling parametric design space exploration by non-designers." Artificial Intelligence for Engineering Design, Analysis and Manufacturing 34, no. 2 (April 16, 2020): 160–75. http://dx.doi.org/10.1017/s0890060420000177.

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AbstractIn mass customization, software configurators enable novice end-users to design customized products and services according to their needs and preferences. However, traditional configurators hardly provide an engaging experience while avoiding the burden of choice. We propose a Design Participation Model to facilitate navigating the design space, based on two modules. Modeler enables designers to create customizable designs as parametric models, and Navigator subsequently permits novice end-users to explore these designs. While most parametric designs support direct manipulation of low-level features, we propose interpolation features to give customers more flexibility. In this paper, we focus on the implementation of such interpolation features into Navigator and its user interface. To assess our approach, we designed and performed user experiments to test and compare Modeler and Navigator, thus providing insights for further developments of our approach. Our results suggest that barycentric interpolation between qualitative parameters provides a more easily understandable interface that empowers novice customers to explore the design space expeditiously.

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32

Huang, P. S., C. J. Harris, and M. S. Nixon. "Recognising humans by gait via parametric canonical space." Artificial Intelligence in Engineering 13, no. 4 (October 1999): 359–66. http://dx.doi.org/10.1016/s0954-1810(99)00008-4.

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33

Pedersen, Henrik C., and Per M. Johansen. "Space-charge wave theory of photorefractive parametric amplification." Journal of the Optical Society of America B 16, no. 8 (August 1, 1999): 1185. http://dx.doi.org/10.1364/josab.16.001185.

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34

Bandilla, A., G. Drobný, and I. Jex. "Phase-space motion in parametric three-wave interaction." Optics Communications 128, no. 4-6 (July 1996): 353–62. http://dx.doi.org/10.1016/0030-4018(96)00136-8.

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35

Prazukin, A. V. "Hierarchy and parametric representation of bio-inert phytosystems." Ecology and Noospherology 25, no. 1-2 (January 13, 2014): 5–18. http://dx.doi.org/10.15421/031401.

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The paper outlines methods that can be successfully used to describe, in universally accepted terms, the structures and functions of bio-inert phytosystems widely differing in organization and origin. It offers an integrative comprehensive model of the biosphere's autotrophic block where the autotrophic function of the phytosphere cannot be satisfactorily exercised except through the unity of the inert (Geo) and the living (Bio) components. Also, it represents the types and physico-geometrical axiomatics of hierarchically structured bio-inert phytosystems. The paper suggests that all bio-inert phytosystems, for the purpose of discussion, should be divided into two groups: corporeal and supra-corporeal with the latter being further classed into biogenic, geogenic and anthropogenic (technogenic). The corporeal systems embrace plants as viewed in terms of their bodily shape. Physico-geometrically, any plant body represents a certain volume of space (Vn) which incorporates a living mass (W) with a specific gravity of r. The quantity Vn is known in biology as biovolume while its numerical value is calculated with the formula: Vn = W/r. Spatially, the plant body (Gn) contains the plant tissue per se (VТ) and large-sized cavities filled either with water (Vwat) or gases (Vgas): Vn = VТ + Vwat + Vgas. Due to its arrangement, any plant body protrudes partially into the surrounding space (Vcos, COS – the closest operating space) with the outer boundary (Gn+1) following the ultimate outlines of the plant's structural elements. This is the space where an organism's impact on the flows of matter, energy and information exceeds that of other organisms or is superior to external flows of substance and energy. That's how the biogenic supra-corporeal system works. Just like corporeal systems do, it holds a certain volume of space (Vn+1, ecovolume), the limits of which (Gn+1) house the plant's bodily mass (Wn) with an appropriate volume (Vn) and, if the object in question is aquatic, it is water – with all dissolved and suspended substances in it – which occupies the entire volume of the surrounding space: Vn+1 =Vn + VCOS. The living space of anthropogenic phytosystems is organized by man who predetermines the proportion between the area to be colonized and the living area. Having colonized artificial underwater reef structures, the plants designate the frontiers in the surrounding space (Vn+2) within which (Gn+2) plant bodies (SVn), bearing parts of reef structures (Vbp) and water (Vwat) are located including dissolved and suspended substances. In other words, these reef structures is precisely the place where the canopy is developed thus determining the external borders of the phytosystem and its volume: V n+2 = SVn + Vbp + Vwat. The living space of geogenic phytosystems is dictated by the geomorphology of the Earth. The plants colonize the Earth's waters (Vn+3, Vn+4), from small puddles to the oceans, including the Earth's recesses and wrinkles (Vn+k =SVn + Vwat, Vn+k =SVn + Vgas). The hierarchical sequence of bio-inert systems, from organism-level organization up to the bio-inert system of a reservoir or island, can be represented by a multitude of living spaces varying in size and enclosed consecutively into one another: Vn Ì Vn+1 Ì Vn+2 Ì Vn+3 Ì Vn+4 Ì Vn+5. "Habitable" means colonized (captured) by the living substance. The density of the living substance filling the space (W/V = CW ) correlates with the density of local free energy flows. The amount of the living substance (W) contained in any volume of space (V) is just as great as the power of the flow of free energy admits of. The living substance, of necessity, keeps the substance flows permanently renewed and increases their yield by accelerating their stock turnover.

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36

Jia, J., S. Zlatanova, S. Hawken, and K. F. Zhang. "MAKING SMART URBAN DECISIONS: THE NICHE OF A PARAMETRIC SPATIAL MODEL TO BALANCE THE NEEDS OF URBAN STORMWATER MANAGEMENT AND HUMAN WELLBEING." ISPRS Annals of Photogrammetry, Remote Sensing and Spatial Information Sciences VI-4/W2-2020 (September 15, 2020): 79–86. http://dx.doi.org/10.5194/isprs-annals-vi-4-w2-2020-79-2020.

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Abstract. Rapid urbanization has resulted in high-density construction, more impervious area and with increasing threats of urban stormwater, drought and negative influences on human wellbeing. Although there has been progress in sustainable stormwater management and the promotion of human wellbeing with green space, the research has been conducted from a mono-disciplinary perspective and has brought potential conflicts in the utilisation of green space in an urban area. Since smart city proposed, researchers are exploring informational and integrated urban management to face this type of development conflicts and achieve a harmonious and sustainable future. This research proposes a parametric spatial model to integrate stormwater management and human recreation needs based on the understanding of the relationship between them on the same urban green space. We expect that this integrated parametric spatial model will help residents to interact with functional green space and provide options to organize the urban green space smarter and more effectively. This paper presents: (1) A review of the main sustainable stormwater management measures with principles, models and facilities to reveal an overlooked but important relationship between space and stormwater management. (2) Investigation of the research on the benefits of green space on human wellbeing. The study argues that the participation of green space cannot be effectively and accurately analysed with the current main analysis measures which relying on satellite-based vegetation indices or land-use database. This research is intended to set smarter decision making on urban green spaces which connects sustainable stormwater management with human wellbeing via visualised parametric spatial model.

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WANG, HUA. "BOUNDEDNESS OF SEVERAL INTEGRAL OPERATORS WITH BOUNDED VARIABLE KERNELS ON HARDY AND WEAK HARDY SPACES." International Journal of Mathematics 24, no. 12 (November 2013): 1350095. http://dx.doi.org/10.1142/s0129167x1350095x.

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In this paper, by using the atomic decomposition theory of Hardy space H1(ℝn) and weak Hardy space WH1(ℝn), we give the boundedness properties of some operators with variable kernels such as singular integral operators, fractional integrals and parametric Marcinkiewicz integrals on these spaces, under certain logarithmic type Lipschitz conditions assumed on the variable kernel Ω(x, z).

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Lu, Ye, Nawfal Blal, and Anthony Gravouil. "Multi-parametric space-time computational vademecum for parametric studies: Application to real time welding simulations." Finite Elements in Analysis and Design 139 (February 2018): 62–72. http://dx.doi.org/10.1016/j.finel.2017.10.008.

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Karlov, Dmitry S., Sergey Sosnin, Igor V. Tetko, and Maxim V. Fedorov. "Chemical space exploration guided by deep neural networks." RSC Advances 9, no. 9 (2019): 5151–57. http://dx.doi.org/10.1039/c8ra10182e.

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Janani Kavipriya, VS, Masetty Akshay, Shreya Mane, and Shruti Dipak Jadhav. "Chemical Rocket Motors for Space Launch Applications: Parametric Approach." 1 8, no. 1 (April 1, 2022): 48–51. http://dx.doi.org/10.46632/jemm/8/1/9.

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Hybridrocket motors are widely used in heavy launch vehicles with maximum payload capacity. The main reason for the study in this field is that the hybrid rocket motor is very easy to handle and has a simple design. In this paper, we have studied the parameters involved in designing and optimizing the hybrid rockets which provides in achieving maximum performance value. The several parameters considered for parameters involve are- burn rate, specific fuel consumption, specific impulse, efficiency. The design constraints will be responsible in achieving a high thrust level through the nozzle. The study also highlights the propellants being used in hybrid rocket motor. The collaborative research will aid in briefing the design and the working of the hybrid motors that is frequently being utilized in the industry.

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41

Bressan, Gianni, Carla Barnaba, Antonella Peresan, and Giuliana Rossi. "Anatomy of seismicity clustering from parametric space-time analysis." Physics of the Earth and Planetary Interiors 320 (November 2021): 106787. http://dx.doi.org/10.1016/j.pepi.2021.106787.

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42

Tomsovic, Steven. "Parametric Variation of Chaotic Eigenstates and Phase Space Localization." Physical Review Letters 77, no. 20 (November 11, 1996): 4158–61. http://dx.doi.org/10.1103/physrevlett.77.4158.

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43

Klein, Raymond M., Mary E. Dove, Jason Ivanoff, and Gail A. Eskes. "Parametric exploration of the Simon effect across visual space." Canadian Journal of Experimental Psychology/Revue canadienne de psychologie expérimentale 60, no. 2 (2006): 112–26. http://dx.doi.org/10.1037/cjep2006012.

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44

Lavagna, M., and A. E. Finzi. "Large multi-hinged space systems: a parametric stability analysis." Acta Astronautica 54, no. 4 (February 2004): 295–305. http://dx.doi.org/10.1016/s0094-5765(02)00304-1.

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45

Bezglasnyi, S. P., and E. E. Piyakina. "Parametric control of maneuver of a space tether system." Cosmic Research 53, no. 4 (July 2015): 323–29. http://dx.doi.org/10.1134/s0010952515040024.

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Sumin, M. I. "Regularized parametric Kuhn-Tucker theorem in a Hilbert space." Computational Mathematics and Mathematical Physics 51, no. 9 (September 2011): 1489–509. http://dx.doi.org/10.1134/s0965542511090156.

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47

Diaconescu, Sabin, Andrei Sperilă, Bogdan D. Ciubotaru, and Adrian M. Stoica. "Space Micro-launcher H∞ Control Under Parametric Modeling Uncertainties." IFAC-PapersOnLine 52, no. 12 (2019): 91–96. http://dx.doi.org/10.1016/j.ifacol.2019.11.075.

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48

Larson, V. R., P. E. Coffmann, A. Fabrizi, and G. Baiocchi. "A parametric study of space transfer/upper propulsion stages." Acta Astronautica 12, no. 9 (September 1985): 667–81. http://dx.doi.org/10.1016/0094-5765(85)90108-0.

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49

Pereira, William Takeshi, and Tatiana F. P. A. T. Pazelli. "Parametric Identification for a Free-Floating Base Space Manipulator." Applied Mechanics and Materials 490-491 (January 2014): 1151–56. http://dx.doi.org/10.4028/www.scientific.net/amm.490-491.1151.

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In this paper parametric identification algorithms are applied to estimate dynamic parameters of a space manipulator, whose model is described through the Dynamically Equivalent Manipulator approach. Gradient and least-square methods are applied in order to evaluate capability of the schemes. A sufficiently rich input signal is applied as reference trajectory for joints position, while a simple model-based PID computed torque control scheme is responsible for keeping the trajectory tracking. Simulation results for a two degree-of-freedom space manipulator have shown the effectiveness of the proposal.

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50

Omer, Omer Abdalrhman, Khedoudj Saibi, Muhammad Zainul Abidin, and Mawia Osman. "Parametric Marcinkiewicz Integral and Its Higher-Order Commutators on Variable Exponents Morrey-Herz Spaces." Journal of Function Spaces 2022 (September 14, 2022): 1–11. http://dx.doi.org/10.1155/2022/7209977.

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In this article, we prove the boundedness of the parametric Marcinkiewicz integral and its higher-order commutators generated by BMO spaces on the variable Morrey-Herz space. All the results are new even when α · is a constant.

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