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Artykuły w czasopismach na temat „Polygonal space vector structures”

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Data publikacji: 6 września 2023

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1

Yan, Shiyao, Zequn Zhang, Xian Sun, et al. "PolygonE: Modeling N-ary Relational Data as Gyro-Polygons in Hyperbolic Space." Proceedings of the AAAI Conference on Artificial Intelligence 36, no. 4 (2022): 4308–17. http://dx.doi.org/10.1609/aaai.v36i4.20351.

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N-ary relational knowledge base (KBs) embedding aims to map binary and beyond-binary facts into low-dimensional vector space simultaneously. Existing approaches typically decompose n-ary relational facts into subtuples (entity pairs, triples or quintuples, etc.), and they generally model n-ary relational KBs in Euclidean space. However, n-ary relational facts are semantically and structurally intact, decomposition leads to the loss of global information and undermines the semantical and structural integrity. Moreover, compared to the binary relational KBs, n-ary ones are characterized by more

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2

Szczygieł, Jacek, and Maciej J. Mendecki. "Preliminary results of fractal analysis of the poligonal survey from cave: case study of Małołączniak area (Tatra Mts.)." Contemporary Trends in Geoscience 2, no. 1 (2013): 95–100. http://dx.doi.org/10.2478/ctg-2014-0014.

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Abstract Traverses (polygons) from two caves have been tested: Wielka Śnieżna Cave System (2858 vectors) and Śnieżna Studnia cave (742). The box counting technique was applied to evaluate the fractal analysis of spatial orientation of traverses. The polygonal survey of Wielka Śnieżna Cave, Śnieżna Studnia and both caves merged together have a fractal geometry. It may be concluded that these caves are close to the full recognition of passages forming by a hydrological system and they could have close relation with geological structures. The usual explanation of fractal dimension D higher than 1

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3

CHETVERIKOV, B., O. KHINTSITSKY, and I. KALYNYCH. "Methodology of mapping of historical and cultural heritage objects by GIS technologies using archival cartographic and aerial materials." Modern achievements of geodesic science and industry 41, no. I (2021): 97–103. http://dx.doi.org/10.33841/1819-1339-1-41-97-103.

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Aim. The purpose of the work is to process archival cartographic materials and remote sensing data for the interpretation of objects of historical and cultural heritage (OHCH) of Cherkasy, including those that have not been preserved. Method. One of the possible technological schemes for research is offered. According to her, the first step was to analyze the input data of the study, among which were: a map of Cherkasy in 1895 at a scale of 1:42000; German aerial image of 1944; a fragment of a space image of Cherkasy obtained from the GeoEye-1 satellite in 2018. Geometric correction of the inp

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4

Nagae, Sadahiko, and Chiaki Ohta. "Algorithm for Automatic Generation of Boundary Lines." Journal of Robotics and Mechatronics 2, no. 1 (1990): 59–65. http://dx.doi.org/10.20965/jrm.1990.p0059.

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It may be supposed that the development of an algorithm capable of automatically generating boundary lines among parts for designing IC diagrams and automatic recognition of intervals among parts as well as mapping is widely desired in different industrial sectors. The most basic, effective solution conceivable will be image analysis using an ITV camera. The authors, however, tried to develop an algorithm capable of automatically generating boundary lines which would not interfere with one another using a great number of profiles comprising, in principle, polygons based on vector input data. I

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5

Watson, Layne T., and C. Y. Wang. "Large deformations of rotating polygonal space structures." Computers & Mathematics with Applications 22, no. 9 (1991): 51–59. http://dx.doi.org/10.1016/0898-1221(91)90206-j.

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MILLETT, KENNETH C., MICHAEL PIATEK, and ERIC J. RAWDON. "POLYGONAL KNOT SPACE NEAR ROPELENGTH-MINIMIZED KNOTS." Journal of Knot Theory and Its Ramifications 17, no. 05 (2008): 601–31. http://dx.doi.org/10.1142/s0218216508006282.

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For a polygonal knot K, it is shown that a tube of radius R(K), the polygonal thickness radius, is an embedded torus. Given a thick configuration K, perturbations of size r < R(K) define satellite structures, or local knotting. We explore knotting within these tubes both theoretically and numerically. We provide bounds on perturbation radii for which one can obtain small trefoil and figure-eight summands and use Monte Carlo simulations to estimate the relative probabilities of these structures as a function of the number of edges.

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7

Kuang, Wenhui, Shu Zhang, Xiaoyong Li, and Dengsheng Lu. "A 30 m resolution dataset of China's urban impervious surface area and green space, 2000–2018." Earth System Science Data 13, no. 1 (2021): 63–82. http://dx.doi.org/10.5194/essd-13-63-2021.

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Abstract. Accurate and timely maps of urban underlying land properties at the national scale are of significance in improving habitat environment and achieving sustainable development goals. Urban impervious surface (UIS) and urban green space (UGS) are two core components for characterizing urban underlying environments. However, the UIS and UGS are often mosaicked in the urban landscape with complex structures and composites. The “hard classification” or binary single type cannot be used effectively to delineate spatially explicit urban land surface property. Although six mainstream datasets

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8

Smith, Philip, and Eleni Panagiotou. "The second Vassiliev measure of uniform random walks and polygons in confined space." Journal of Physics A: Mathematical and Theoretical 55, no. 9 (2022): 095601. http://dx.doi.org/10.1088/1751-8121/ac4abf.

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Abstract Biopolymers, like chromatin, are often confined in small volumes. Confinement has a great effect on polymer conformations, including polymer entanglement. Polymer chains and other filamentous structures can be represented by polygonal curves in three-space. In this manuscript, we examine the topological complexity of polygonal chains in three-space and in confinement as a function of their length. We model polygonal chains by equilateral random walks in three-space and by uniform random walks (URWs) in confinement. For the topological characterization, we use the second Vassiliev meas

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9

Lakshminarayanan, Sanjay, R. S. Kanchan, P. N. Tekwani, and K. Gopakumar. "Multilevel inverter with 12-sided polygonal voltage space vector locations for induction motor drive." IEE Proceedings - Electric Power Applications 153, no. 3 (2006): 411. http://dx.doi.org/10.1049/ip-epa:20050444.

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Lakshminarayanan, S., G. Mondal, K. Gopakumar, N. S. Dinesh, and S. Figarado. "Eighteen-sided polygonal voltage space-vector-based PWM control for an induction motor drive." IET Electric Power Applications 2, no. 1 (2008): 56–63. http://dx.doi.org/10.1049/iet-epa:20070269.

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11

Marialva, Eric Fabrício, Nágila F. Secundino, Fernando F. Fernandes, et al. "Morphological aspects of immature stages of Migonemyia migonei (Diptera: Psychodidae, Phlebotominae), an important vector of Leishmaniosis in South America, described by scanning electron microscopy." PLOS ONE 15, no. 11 (2020): e0242163. http://dx.doi.org/10.1371/journal.pone.0242163.

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We describe the immature stages of Migonemyia migonei, which is the vector of Leishmania (Viannia) braziliensis, the etiological agent of cutaneous leishmaniasis in South America, and a putative vector of Leishmania infantum chagasi. Scanning Electron Microscopy (SEM) was used to refine the description of the structures of the egg, all instar larvae, and the pupa. The eggs have polygonal cells on the egg exochorion, and differences between larval and pupal chaetotaxy have been highlighted. Different sensillary subtypes—trichoidea, basiconica, coelonica and campanoformia—were observed in the la

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12

Gantes, C. J., R. D. Logcher, J. J. Connor, and Y. Rosenfeld. "Deployability Conditions for Curved and Flat, Polygonal and Trapezoidal Deployable Structures." International Journal of Space Structures 8, no. 1-2 (1993): 97–106. http://dx.doi.org/10.1177/0266351193008001-210.

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Prefabricated, deployable space frames that exhibit self-standing and stress-free states in both the deployed and collapsed configurations are investigated in this paper. This type of deployable structures shows considerable advantages as compared to previous designs that either required external stabilizing or had members with residual stresses in the deployed configuration. Following previous developments for flat deployable structures consisting of units with regular-polygon planviews, this study deals with flat structures made of trapezoidals, and curved structures assembled from regular-p

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13

Shojae Chaeikar, Saman, Azizah Abdul Manaf, Ala Abdulsalam Alarood, and Mazdak Zamani. "PFW: Polygonal Fuzzy Weighted—An SVM Kernel for the Classification of Overlapping Data Groups." Electronics 9, no. 4 (2020): 615. http://dx.doi.org/10.3390/electronics9040615.

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Support vector machines are supervised learning models which are capable of classifying data and measuring regression by means of a learning algorithm. If data are linearly separable, a conventional linear kernel is used to classify them. Otherwise, the data are normally first transformed from input space to feature space, and then they are classified. However, carrying out this transformation is not always practical, and the process itself increases the cost of training and prediction. To address these problems, this paper puts forward an SVM kernel, called polygonal fuzzy weighted or PFW, wh

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14

Gillette, Andrew, Alexander Rand, and Chandrajit Bajaj. "Construction of Scalar and Vector Finite Element Families on Polygonal and Polyhedral Meshes." Computational Methods in Applied Mathematics 16, no. 4 (2016): 667–83. http://dx.doi.org/10.1515/cmam-2016-0019.

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AbstractWe combine theoretical results from polytope domain meshing, generalized barycentric coordinates, and finite element exterior calculus to construct scalar- and vector-valued basis functions for conforming finite element methods on generic convex polytope meshes in dimensions 2 and 3. Our construction recovers well-known bases for the lowest order Nédélec, Raviart–Thomas, and Brezzi–Douglas–Marini elements on simplicial meshes and generalizes the notion of Whitney forms to non-simplicial convex polygons and polyhedra. We show that our basis functions lie in the correct function space wi

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15

Lehmkühler, Felix, Gerhard Grübel, and Christian Gutt. "Detecting orientational order in model systems by X-ray cross-correlation methods." Journal of Applied Crystallography 47, no. 4 (2014): 1315–23. http://dx.doi.org/10.1107/s1600576714012424.

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The results of a computational X-ray cross-correlation analysis (XCCA) study on two-dimensional polygonal model structures are presented. This article shows how to detect and identify the orientational order of such systems, demonstrates how to eliminate the influence of the `computational box' on the XCCA results and develops new correlation functions that reflect the sample's orientational order only. For this purpose, the dependence of the correlation functions on the number of polygonal clusters and scattering vector magnitudeqis studied for various types of polygons, including mixtures of

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16

OZTURK, OZGUR, and HAKAN FERHATOSMANOGLU. "VECTOR SPACE INDEXING FOR BIOSEQUENCE SIMILARITY SEARCHES." International Journal on Artificial Intelligence Tools 14, no. 05 (2005): 811–26. http://dx.doi.org/10.1142/s0218213005002405.

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We present a multi-dimensional indexing approach for fast sequence similarity search in DNA and protein databases. In particular, we propose effective transformations of subsequences into numerical vector domains and build efficient index structures on the transformed vectors. We then define distance functions in the transformed domain and examine properties of these functions. We experimentally compared their (a) approximation quality for k-Nearest Neighbor (k-NN) queries and both (b) pruning ability and (c) approximation quality for ε-range queries. Results for k-NN queries, which we present

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17

Raj R, Krishna, K. Gopakumar, Apurv Kumar Yadav, L. Umanand, Mariusz Malinowski, and Wojciech Jarzyna. "A Twelve Concentric Multilevel Twenty-Four Sided Polygonal Voltage Space Vector Structure for Variable Speed Drives." IEEE Transactions on Power Electronics 34, no. 10 (2019): 9906–15. http://dx.doi.org/10.1109/tpel.2019.2892329.

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Duggal, K. L. "Space time manifolds and contact structures." International Journal of Mathematics and Mathematical Sciences 13, no. 3 (1990): 545–53. http://dx.doi.org/10.1155/s0161171290000783.

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A new class of contact manifolds (carring a global non-vanishing timelike vector field) is introduced to establish a relation between spacetime manifolds and contact structures. We show that odd dimensional strongly causal (in particular, globally hyperbolic) spacetimes can carry a regular contact structure. As examples, we present a causal spacetime with a non regular contact structure and a physical model [Gödel Universe] of Homogeneous contact manifold. Finally, we construct a model of 4-dimensional spacetime of general relativity as a contact CR-submanifold.

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Goncharov, V. P., and V. I. Pavlov. "Some estimates on the space scales of vortex pairs emitted from river mouths." Nonlinear Processes in Geophysics 8, no. 1/2 (2001): 1–7. http://dx.doi.org/10.5194/npg-8-1-2001.

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Abstract. Two-dimensional vortex pairs are frequently observed in geophysical conditions, for example, in a shelf zone of the ocean near river mouths. The main aims of the work are to estimate the space scales of such vortex structures, to analyze possible scenarios of vortex pair motion and to give the qualitative classification of their trajectories. We discuss some features of the motion of strong localized vorticity concentrations in a given flow in the presence of boundaries. The analyses are made in the framework of a 2D point vortex mo-del with an open polygonal boundary. Estimations ar

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20

Ciaglia, Florio Maria, Alberto Ibort, and Giuseppe Marmo. "Geometrical structures for classical and quantum probability spaces." International Journal of Quantum Information 15, no. 08 (2017): 1740007. http://dx.doi.org/10.1142/s021974991740007x.

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On the affine space containing the space [Formula: see text] of quantum states of finite-dimensional systems, there are contravariant tensor fields by means of which it is possible to define Hamiltonian and gradient vector fields encoding the relevant geometrical properties of [Formula: see text]. Guided by Dirac’s analogy principle, we will use them as inspiration to define contravariant tensor fields, Hamiltonian and gradient vector fields on the affine space containing the space of fair probability distributions on a finite sample space and analyze their geometrical properties. Most of our

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21

Malek, F., and A. Shafei Deh Abad. "Homogeneous Poisson structures." Bulletin of the Australian Mathematical Society 54, no. 2 (1996): 203–10. http://dx.doi.org/10.1017/s0004972700017664.

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In this paper we provide an algebraic definition for the Schouten product and give a decomposition for homogeneous Poisson structures in any n-dimensional vector space. A large class of n-homogeneous Poisson structures in ℝk is also characterised.

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Srivastava, J. K., and Narayan Prasad Pahari. "On Certain Topological Structures of Product Normed Space Valued Paranormed Space of Summable Sequences." Journal of Institute of Science and Technology 19, no. 1 (2015): 25–29. http://dx.doi.org/10.3126/jist.v19i1.13822.

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The aim of this paper is to introduce and study a new vector valued sequence space S( ( Z, || ( . , . ) ||Z ), ?, u ) with terms from a product normed space as a generalization of sequence space studied by Srivastava and Pahari (2011) which is itself the generalization of the familiar absolutely summable sequence space l. We investigate its linear structure with respect to the co-ordinate wise vector operation and explore the conditions in terms of different u and ? so that a class is contained in another class of same kind and thereby derive the conditions of their equality. Finally we invest

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Murali, V. "Ultrabornological structures." International Journal of Mathematics and Mathematical Sciences 14, no. 4 (1991): 723–30. http://dx.doi.org/10.1155/s0161171291000972.

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The purpose of this note is to extend Warner's idea of bornological structures to cover non-locally convex situations and to develop a framework unifying several variations on an ultrabornological theme (for example, ultrabornological spaces,o-ultrabornological spaces,i-ultrabornological algebras). We do this by first generalising the concept of a structure on a vector space as defined by Warner.

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Surendra Babu, N. N. V., and B. G. Fernandes. "Cascaded two-level inverter-based multilevel static VAr compensator using 12-sided polygonal voltage space vector modulation." IET Power Electronics 5, no. 8 (2012): 1500. http://dx.doi.org/10.1049/iet-pel.2012.0120.

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Mathew, K., Chintan Patel, K. Gopakumar, Anandarup Das, and Rijil Ramchand. "An asymmetric cascaded H-Bridge inverters for generating 12-sided polygonal space vector diagrams for Motor drives." EPE Journal 21, no. 1 (2011): 21–28. http://dx.doi.org/10.1080/09398368.2011.11463784.

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Schulte, Egon. "Polyhedra, complexes, nets and symmetry." Acta Crystallographica Section A Foundations and Advances 70, no. 3 (2014): 203–16. http://dx.doi.org/10.1107/s2053273314000217.

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Skeletal polyhedra and polygonal complexes in ordinary Euclidean 3-space are finite or infinite 3-periodic structures with interesting geometric, combinatorial and algebraic properties. They can be viewed as finite or infinite 3-periodic graphs (nets) equipped with additional structure imposed by the faces, allowed to be skew, zigzag or helical. A polyhedron or complex isregularif its geometric symmetry group is transitive on the flags (incident vertex–edge–face triples). There are 48 regular polyhedra (18 finite polyhedra and 30 infinite apeirohedra), as well as 25 regular polygonal complexes

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OIKONOMOU, V. K. "GRADED GEOMETRIC STRUCTURES UNDERLYING F-THEORY RELATED DEFECT THEORIES." International Journal of Modern Physics A 28, no. 21 (2013): 1350106. http://dx.doi.org/10.1142/s0217751x13501066.

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In the context of F-theory, we study the related eight-dimensional super-Yang–Mills theory and reveal the underlying supersymmetric quantum mechanics algebra that the fermionic fields localized on the corresponding defect theory are related to. Particularly, the localized fermionic fields constitute a graded vector space, and in turn this graded space enriches the geometric structures that can be built on the initial eight-dimensional space. We construct the implied composite fiber bundles, which include the graded affine vector space and demonstrate that the composite sections of this fiber b

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German, Anna. "3D art cartography in Belarus: The historical development and achievements in the modern period." Abstracts of the ICA 1 (July 15, 2019): 1–2. http://dx.doi.org/10.5194/ica-abs-1-94-2019.

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<p><strong>Abstract.</strong> Three-dimensional images of the area were begun to create in the middle ages. The discoveries of new territories had led to the necessity of their mapping. On the perspective-panoramic maps of that time cities and fortresses were often depicted as they could be seen by an approaching traveler, usually from the most impressive side, from "bird's eye view". Cartographic images were performed manually, by the method of engraving on wood or on copper.</p><p> One of the first panoramic maps of Belarusian cities was a cartographic image of

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Pahari, Narayan` Prasad. "On Certain Linear Structures of Bounded Vector - Valued Sequence Space on Product Normed Space." Journal of Advanced College of Engineering and Management 2 (November 29, 2016): 31. http://dx.doi.org/10.3126/jacem.v2i0.16096.

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Ohsaki, M., Tsuneyoshi Nakamura, and M. Kohiyama. "Shape Optimization of a Double-Layer Space Truss Described by a Parametric Surface." International Journal of Space Structures 12, no. 2 (1997): 109–19. http://dx.doi.org/10.1177/026635119701200205.

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A method is presented for finding the optimal configuration of a double-layer space truss described by a parametric surface. The number of design variables is drastically reduced, without sacrificing the smoothness of the upper layer surface, by using the control net parameters as design variables. The coordinates of the lower nodes are defined by using a vertical or normal offset vectors from the upper surface. Curvatures of the curve associated with the lower polygon are calculated for evaluating feasibility and regularity of the a double-layer lattice space truss. In the examples, a feasibl

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Krishna, Raj R., K. Gopakumar, Mathews Boby, Apurv Kumar Yadav, Leopoldo Garcia Franquelo, and Sheldon S. Williamson. "Multilevel 24-Sided Polygonal Voltage-Space-Vector Structure Generation for an IM Drive Using a Single DC Source." IEEE Transactions on Industrial Electronics 66, no. 2 (2019): 1023–31. http://dx.doi.org/10.1109/tie.2018.2831189.

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Richter, Wolf-Dieter. "Three-Complex Numbers and Related Algebraic Structures." Symmetry 13, no. 2 (2021): 342. http://dx.doi.org/10.3390/sym13020342.

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Three-complex numbers are introduced for using a geometric vector product in the three-dimensional Euclidean vector space R3 and proving its equivalence with a spherical coordinate product. Based upon the definitions of the geometric power and geometric exponential functions, some Euler-type trigonometric representations of three-complex numbers are derived. Further, a general l23−complex algebraic structure together with its matrix, polynomial and variable basis vector representations are considered. Then, the classes of lp3-complex numbers are introduced. As an application, Euler-type formul

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Karakaya, Vatan, and Hemen Dutta. "On some vector valued generalized difference modular sequence spaces." Filomat 25, no. 3 (2011): 15–27. http://dx.doi.org/10.2298/fil1103015k.

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In this paper we generalize the modular sequence space ?{Mk} by introducing the sequence space ?{Mk,p,q,s,?n/vm}. We give various properties relevant to algebraic and topological structures of this space and derived some other spaces.

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KHRENNIKOV, A. YU, V. M. SHELKOVICH, and O. G. SMOLYANOV. "LOCALLY CONVEX SPACES OF VECTOR-VALUED DISTRIBUTIONS WITH MULTIPLICATIVE STRUCTURES." Infinite Dimensional Analysis, Quantum Probability and Related Topics 05, no. 04 (2002): 483–502. http://dx.doi.org/10.1142/s0219025702001000.

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We construct an infinite-dimensional linear space [Formula: see text] of vector-valued distributions (generalized functions), or sequences, f*(x)=(fn(x)) finite from the left (i.e. fn(x)=0 for n<n0(f*)) whose components fn(x) belong to the linear span [Formula: see text] generated by the distributions δ(m-1)(x-ck), P((x-ck)-m), xm-1, where m=1, 2, …, ck ∈ ℝ, k = 1, …, s. The space of distributions [Formula: see text] can be realized as a subspace in [Formula: see text] This linear space [Formula: see text] has the structure of an associative and commutative algebra containing a unity elemen

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Bao, Naping, and Yanyong Hong. "Algebraic Constructions for Novikov–Poisson Algebras." Mathematics 10, no. 17 (2022): 3158. http://dx.doi.org/10.3390/math10173158.

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A Novikov–Poisson algebra (A,∘,·) is a vector space with a Novikov algebra structure (A,∘) and a commutative associative algebra structure (A,·) satisfying some compatibility conditions. Give a Novikov–Poisson algebra (A,∘,·) and a vector space V. A natural problem is how to construct and classify all Novikov–Poisson algebra structures on the vector space E=A⊕V such that (A,∘,·) is a subalgebra of E up to isomorphism whose restriction on A is the identity map. This problem is called extending structures problem. In this paper, we introduce the definition of a unified product for Novikov–Poisso

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Abdul Azeez, Najath, Anubrata Dey, K. Mathew, Jaison Mathew, and K. Gopakumar. "A Nearly Constant Switching Frequency Current Error Space Vector Based Hysteresis Controller for an IM Drive with 12-Sided Polygonal Voltage Space Vectors." EPE Journal 23, no. 4 (2013): 33–41. http://dx.doi.org/10.1080/09398368.2013.11463865.

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Wang, C. Y. "In-Plane Vibration of a Deployable Segmented Ring." International Journal of Structural Stability and Dynamics 20, no. 07 (2020): 2071007. http://dx.doi.org/10.1142/s0219455420710078.

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The in-plane vibrations of regular polygonal rings composed of rigid segments joined by torsional springs are studied for the first time. The nonlinear dynamical difference equations are formulated and solved by perturbation about the equilibrium state. As the number of segments increase, the frequencies, if aptly normalized, converge to the classical vibration frequencies of a continuous elastic ring. The vibration mode shapes are illustrated. The tiling of many identical polygons is discussed. Possible applications include the vibrations of space structures and graphene sheets.

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Lakshminarayanan, S., G. Mondal, P. N. Tekwani, K. K. Mohapatra, and K. Gopakumar. "Twelve-Sided Polygonal Voltage Space Vector Based Multilevel Inverter for an Induction Motor Drive With Common-Mode Voltage Elimination." IEEE Transactions on Industrial Electronics 54, no. 5 (2007): 2761–68. http://dx.doi.org/10.1109/tie.2007.899929.

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McRobie, Allan. "The geometry of structural equilibrium." Royal Society Open Science 4, no. 3 (2017): 160759. http://dx.doi.org/10.1098/rsos.160759.

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Building on a long tradition from Maxwell, Rankine, Klein and others, this paper puts forward a geometrical description of structural equilibrium which contains a procedure for the graphic analysis of stress resultants within general three-dimensional frames. The method is a natural generalization of Rankine’s reciprocal diagrams for three-dimensional trusses. The vertices and edges of dual abstract 4-polytopes are embedded within dual four-dimensional vector spaces, wherein the oriented area of generalized polygons give all six components (axial and shear forces with torsion and bending momen

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CRASMAREANU, MIRCEA. "DIRAC STRUCTURES FROM LIE INTEGRABILITY." International Journal of Geometric Methods in Modern Physics 09, no. 04 (2012): 1220005. http://dx.doi.org/10.1142/s0219887812200058.

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We prove that a pair (F = vector sub-bundle of TM, its annihilator) yields an almost Dirac structure which is Dirac if and only if F is Lie integrable. Then a flat Ehresmann connection on a fiber bundle ξ yields two complementary, but not orthogonally, Dirac structures on the total space M of ξ. These Dirac structures are also Lagrangian sub-bundles with respect to the natural almost symplectic structure of the big tangent bundle of M. The tangent bundle in Riemannian geometry is discussed as particular case and the 3-dimensional Heisenberg space is illustrated as example. More generally, we s

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WEICHERT, F., M. GASPAR, and M. WAGNER. "RADIAL-BASED SIGNAL-PROCESSING COMBINED WITH METHODS OF MACHINE LEARNING." International Journal of Pattern Recognition and Artificial Intelligence 27, no. 06 (2013): 1350018. http://dx.doi.org/10.1142/s0218001413500183.

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The present paper describes a novel approach to performing feature extraction and classification in possibly layered circular structures, as seen in two-dimensional cutting planes of three-dimensional tube-shaped objects. The algorithm can therefore be used to analyze histological specimens of blood vessels as well as intravascular ultrasound (IVUS) datasets. The approach uses a radial signal-based extraction of textural features in combination with methods of machine learning to integrate a priori domain knowledge. The algorithm in principle solves a two-dimensional classification problem tha

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Abramczyk, Jacek. "Transformed Shell Structures Determined by Regular Networks as a Complex Material for Roofing." Materials 14, no. 13 (2021): 3582. http://dx.doi.org/10.3390/ma14133582.

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The article presents a comprehensive extension of the proprietary basic method for shaping innovative systems of corrugated shell roof structures by means of a specific complex material that comprises regular transformable shell units limited by spatial quadrangles. The units are made up of nominally plane folded sheets transformed into shell shapes. The similar shell units are regularly and effectively arranged in the three-dimensional space in an orderly manner with a universal regular reference surface, polyhedral network, and polygonal network. The extended method leads to the increase in

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Yazi, M. "Ordered Structures and Projections." International Journal of Mathematics and Mathematical Sciences 2008 (2008): 1–6. http://dx.doi.org/10.1155/2008/783041.

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We associate a covering relation to the usual order relation defined in the set of all idempotent endomorphisms (projections) of a finite-dimensional vector space. A characterization is given of it. This characterization makes this order an order verifying the Jordan-Dedekind chain condition. We give also a property for certain finite families of this order. More precisely, the family of parts intervening in the linear representation of diagonalizable endomorphism, that is, the orthogonal families forming a decomposition of the identity endomorphism.

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Srivastava, Meenakshi, S. K. Singh, and S. Q. Abbas. "Applying metric space and pivot-based indexing on combined features of bio-images for fast execution of composite queries." International Journal of Engineering & Technology 7, no. 1 (2018): 110. http://dx.doi.org/10.14419/ijet.v7i1.9009.

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Content based recovery of bio images requires index structures, which can retrieve the similar image objects in time proficient way. Conventional Structure/ sequence based recovery of bio-images (for example, protein structures) experiences, tedious online similarity check from huge web based databases. The general approach of image feature representations follows vector based portrayal. In present manuscript, visual highlights of 3D protein structures and their content highlights have been implemented in isolated metric space, rather than vector space which advances the similarity recovery. A

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Miltiadou, Milto, Neill D. F. Campbell, Darren Cosker, and Michael G. Grant. "A Comparative Study about Data Structures Used for Efficient Management of Voxelised Full-Waveform Airborne LiDAR Data during 3D Polygonal Model Creation." Remote Sensing 13, no. 4 (2021): 559. http://dx.doi.org/10.3390/rs13040559.

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In this paper, we investigate the performance of six data structures for managing voxelised full-waveform airborne LiDAR data during 3D polygonal model creation. While full-waveform LiDAR data has been available for over a decade, extraction of peak points is the most widely used approach of interpreting them. The increased information stored within the waveform data makes interpretation and handling difficult. It is, therefore, important to research which data structures are more appropriate for storing and interpreting the data. In this paper, we investigate the performance of six data struc

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Hrushovski, Ehud, and James Loveys. "Strongly and co-strongly minimal abelian structures." Journal of Symbolic Logic 75, no. 2 (2010): 442–58. http://dx.doi.org/10.2178/jsl/1268917489.

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AbstractWe give several characterizations of weakly minimal abelian structures. In two special cases, dual in a sense to be made explicit below, we give precise structure theorems:1. when the only finite 0-definable subgroup is {0}, or equivalently 0 is the only algebraic element (the co-strongly minimal case);2. when the theory of the structure is strongly minimal.In the first case, we identify the abelian structure as a “near-subspace” A of a vector space V over a division ring D with its induced structure, with possibly some collection of distinguished subgroups of A of finite index in A an

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Ohashi, Tadashi, Hajime Nobuhara, and Kaoru Hirota. "Hierarchical Concept Structures Based Data Retrieval/Mining by Fuzzy Document Ordering System." Journal of Advanced Computational Intelligence and Intelligent Informatics 8, no. 6 (2004): 633–38. http://dx.doi.org/10.20965/jaciii.2004.p0633.

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A shrink operation for FOCUS (Fuzzy dOCUment ordering System) is proposed as a tool for changing user’s viewpoint in concept structures of documents. The FOCUS produces the user’s preference vector space and its concept hierarchical structure based on CSD (Concept System Dictionary) produced by EDR (Japan Electronic Dictionary Research Institute). Through document ordering experiments by 5 examinees using 20 given documents and 40 unknown ones extracted from IMDB (Internet Movie Data Base), the effectiveness of shrink operations, i.e., shrinkage of user’s preference vector space, is confirmed

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Graben, Peter beim, Markus Huber, Werner Meyer, Ronald Römer, and Matthias Wolff. "Vector Symbolic Architectures for Context-Free Grammars." Cognitive Computation 14, no. 2 (2021): 733–48. http://dx.doi.org/10.1007/s12559-021-09974-y.

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AbstractVector symbolic architectures (VSA) are a viable approach for the hyperdimensional representation of symbolic data, such as documents, syntactic structures, or semantic frames. We present a rigorous mathematical framework for the representation of phrase structure trees and parse trees of context-free grammars (CFG) in Fock space, i.e. infinite-dimensional Hilbert space as being used in quantum field theory. We define a novel normal form for CFG by means of term algebras. Using a recently developed software toolbox, called FockBox, we construct Fock space representations for the trees

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Catanese, Fabrizio, and Michael Dettweiler. "Vector bundles on curves coming from variation of Hodge structures." International Journal of Mathematics 27, no. 07 (2016): 1640001. http://dx.doi.org/10.1142/s0129167x16400012.

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Fujita’s second theorem for Kähler fibre spaces over a curve asserts, that the direct image [Formula: see text] of the relative dualizing sheaf splits as the direct sum [Formula: see text], where [Formula: see text] is ample and [Formula: see text] is unitary flat. We focus on our negative answer [F. Catanese and M. Dettweiler, Answer to a question by Fujita on variation of Hodge structures, to appear in Adv. Stud. Pure Math.] to a question by Fujita: is [Formula: see text] semiample? We give here an infinite series of counterexamples using hypergeometric integrals and we give a simple argumen

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Stoica, Ovidiu Cristinel. "No-go results on emergent space and other structures." Journal of Physics: Conference Series 2533, no. 1 (2023): 012027. http://dx.doi.org/10.1088/1742-6596/2533/1/012027.

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Abstract It is often claimed that, from the abstract quantum state vector and Hamiltonian, everything emerges uniquely (for example the 3D-space, a preferred factorization of the Hilbert space, and a preferred basis). This thesis, called Hilbert-Space Fundamentalism (HSF), is assumed for example in Carroll and Singh’s “Mad-dog Everettianism”, some proposals based on decoherence, proposals that aim to describe everything by the quantum structure alone, and proposals that spacetime emerges from a purely quantum theory of gravity. I show that whenever the 3D-space, a preferred factorization, or a

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