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Journal articles on the topic 'Topological description'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Cho, Gil Young, and Joel E. Moore. "Topological BF field theory description of topological insulators." Annals of Physics 326, no. 6 (2011): 1515–35. http://dx.doi.org/10.1016/j.aop.2010.12.011.

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2

Imran, Muhammad, Muhammad Kamran Siddiqui, Abdul Qudair Baig, and Hani Shaker. "Molecular topological description of bacterial hypertrees." Journal of Intelligent & Fuzzy Systems 38, no. 4 (2020): 5095–105. http://dx.doi.org/10.3233/jifs-191714.

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3

Mayagoitia, Vicente, Fernando Rojas, Isaac Kornhauser, E. Ancona, Giorgio Zgrablich, and Roberto José Faccio. "Twofold Description of Topological Disordered Surfaces†." Langmuir 12, no. 1 (1996): 207–10. http://dx.doi.org/10.1021/la9407065.

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4

SHEN, SHUN-QING, WEN-YU SHAN, and HAI-ZHOU LU. "TOPOLOGICAL INSULATOR AND THE DIRAC EQUATION." SPIN 01, no. 01 (2011): 33–44. http://dx.doi.org/10.1142/s2010324711000057.

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We present a general description of topological insulators from the point of view of Dirac equations. The Z2 index for the Dirac equation is always zero, and thus the Dirac equation is topologically trivial. After the quadratic term in momentum is introduced to correct the mass term m or the band gap of the Dirac equation, i.e., m → m − Bp2, the Z2 index is modified as 1 for mB > 0 and 0 for mB < 0. For a fixed B there exists a topological quantum phase transition from a topologically trivial system to a nontrivial system when the sign of mass m changes. A series of solutions near the bo

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5

Goodson, Cheryl Sorenson, and Robert J. Meier. "Topological description of Easter Islander palmar dermatoglyphics." American Journal of Physical Anthropology 71, no. 2 (1986): 225–32. http://dx.doi.org/10.1002/ajpa.1330710210.

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6

Pérez, Marcos, and Gerardo Martínez. "Polynomial description of inhomogeneous topological superconducting wires." Journal of Physics: Condensed Matter 29, no. 47 (2017): 475503. http://dx.doi.org/10.1088/1361-648x/aa93cd.

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7

Gomis, J., and J. Roca. "Superfield description of N=2 topological supergravity." Physics Letters B 268, no. 2 (1991): 197–202. http://dx.doi.org/10.1016/0370-2693(91)90803-x.

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8

Kim, Ki-Seok, and Akihiro Tanaka. "Emergent gauge fields and their nonperturbative effects in correlated electrons." Modern Physics Letters B 29, no. 16 (2015): 1540054. http://dx.doi.org/10.1142/s0217984915400540.

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The history of modern condensed matter physics may be regarded as the competition and reconciliation between Stoner’s and Anderson’s physical pictures, where the former is based on momentum–space descriptions focusing on long wave-length fluctuations while the latter is based on real-space physics emphasizing emergent localized excitations. In particular, these two view points compete with each other in various nonperturbative phenomena, which range from the problem of high [Formula: see text] superconductivity, quantum spin liquids in organic materials and frustrated spin systems, heavy-fermi

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9

STAIC, MIHAI D. "AN EXPLICIT DESCRIPTION OF THE SIMPLICIAL GROUP." Journal of the Australian Mathematical Society 95, no. 1 (2013): 133–44. http://dx.doi.org/10.1017/s1446788713000128.

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10

Bal, Guillaume. "Continuous bulk and interface description of topological insulators." Journal of Mathematical Physics 60, no. 8 (2019): 081506. http://dx.doi.org/10.1063/1.5086312.

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11

Milgrom, Lionel R. "Toward a Topological Description of the Therapeutic Process." Journal of Alternative and Complementary Medicine 16, no. 12 (2010): 1329–41. http://dx.doi.org/10.1089/acm.2009.0665.

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12

Gao, Zhen, Lin Wu, Fei Gao, Yu Luo, and Baile Zhang. "Spoof Plasmonics: From Metamaterial Concept to Topological Description." Advanced Materials 30, no. 31 (2018): 1706683. http://dx.doi.org/10.1002/adma.201706683.

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13

González-Olivares, E., E. Sáez, E. Stange, and I. Szántó. "Topological Description of a Non-Differentiable Bioeconomics Model." Rocky Mountain Journal of Mathematics 35, no. 4 (2005): 1133–55. http://dx.doi.org/10.1216/rmjm/1181069680.

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14

Penner, Robert Clark, Michael Knudsen, Carsten Wiuf, and Jørgen Ellegaard Andersen. "An Algebro-Topological Description of Protein Domain Structure." PLoS ONE 6, no. 5 (2011): e19670. http://dx.doi.org/10.1371/journal.pone.0019670.

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15

Álvarez López, Jesús, and Alberto Candel. "Topological description of Riemannian foliations with dense leaves." Pacific Journal of Mathematics 248, no. 2 (2010): 257–76. http://dx.doi.org/10.2140/pjm.2010.248.257.

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16

Herslund, Michael. "La topologie du français à la lumière de deux autres systèmes." Ordre des mots et topologie de la phrase française 29, no. 1 (2006): 103–12. http://dx.doi.org/10.1075/li.29.1.09her.

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The article gives an introduction to the concept of an independent topological level of description as developped by Danish grammarians. According to this approach topology (the linear ordering of constituents) and syntax (the hierarchical ordering of constituents) constitute two different levels with a certain, but not necessary, isomorphy between their elements. The topology of Danish and Old French, two V2 languages, is described and confronted with a proposal for a topological description of Modern French. It is proposed that whereas the verb constitutes the topological centre or pivot in

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17

Gao, Heng, Jörn W. F. Venderbos, Youngkuk Kim, and Andrew M. Rappe. "Topological Semimetals from First Principles." Annual Review of Materials Research 49, no. 1 (2019): 153–83. http://dx.doi.org/10.1146/annurev-matsci-070218-010049.

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We review recent theoretical progress in the understanding and prediction of novel topological semimetals. Topological semimetals define a class of gapless electronic phases exhibiting topologically stable crossings of energy bands. Different types of topological semimetals can be distinguished on the basis of the degeneracy of the band crossings, their codimension (e.g., point or line nodes), and the crystal space group symmetries on which the protection of stable band crossings relies. The dispersion near the band crossing is a further discriminating characteristic. These properties give ris

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18

Flapan, Erica, Adam He, and Helen Wong. "Topological descriptions of protein folding." Proceedings of the National Academy of Sciences 116, no. 19 (2019): 9360–69. http://dx.doi.org/10.1073/pnas.1808312116.

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How knotted proteins fold has remained controversial since the identification of deeply knotted proteins nearly two decades ago. Both computational and experimental approaches have been used to investigate protein knot formation. Motivated by the computer simulations of Bölinger et al. [Bölinger D, et al. (2010) PLoS Comput Biol 6:e1000731] for the folding of the 61-knotted α-haloacid dehalogenase (DehI) protein, we introduce a topological description of knot folding that could describe pathways for the formation of all currently known protein knot types and predicts knot types that might be i

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19

Samarina, Ol'ga Vladimirovna. "TOPOLOGICAL AND SEMANTIC IMAGES ANALYSIS." Yugra State University Bulletin 13, no. 3 (2017): 74–77. http://dx.doi.org/10.17816/byusu201713374-77.

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In this paper we investigate method of the digital images topological and semantic analysis based on the Morse theory. The description of the MathLab program module for calculation of statistically significant critical points for single-channel image is also submitted.

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20

DUAN, YI-SHI, LI-DA ZHANG, and YU-XIAO LIU. "A NEW DESCRIPTION OF COSMIC STRINGS IN BRANE WORLD SCENARIO." Modern Physics Letters A 23, no. 24 (2008): 2023–30. http://dx.doi.org/10.1142/s021773230802611x.

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In the light of ϕ-mapping topological current theory, the structure of cosmic strings are obtained from the Abelian Higgs model, which is an effective description to the brane world cosmic string system. In this topological description of the cosmic string, combining the result of decomposition of U(1) gauge potential, we analytically reach the familiar conclusions that in the brane world scenario the magnetic flux of the cosmic string is quantized and the RR charge of it is screened.

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21

Zamfirescu, Tudor. "Description of most starshaped surfaces." Mathematical Proceedings of the Cambridge Philosophical Society 106, no. 2 (1989): 245–51. http://dx.doi.org/10.1017/s0305004100078063.

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After having investigated in [7] generic properties of compact starshaped sets in ℝd, we shall restrict here our attention to compact starshaped sets whose kernels have positive dimension. While the main results in [7] are of a topological nature and concern the whole sets, the theorems presented here describe, for kernels of codimension 0 or 1, the local aspect of the boundaries and include, for kernels of positive dimension less than d— 1, both types of statements.

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22

París, Jordi, and Jaume Roca. "A remark on the effective description of topological defects." Nuclear Physics B 523, no. 1-2 (1998): 377–90. http://dx.doi.org/10.1016/s0550-3213(98)00119-9.

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23

Tanaka, Kohei. "A combinatorial description of topological complexity for finite spaces." Algebraic & Geometric Topology 18, no. 2 (2018): 779–96. http://dx.doi.org/10.2140/agt.2018.18.779.

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24

Titov, V. S., and G. Hornig. "Magnetic connectivity of coronal fields: geometrical versus topological description." Advances in Space Research 29, no. 7 (2002): 1087–92. http://dx.doi.org/10.1016/s0273-1177(02)00021-2.

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25

Kostakis, George E., Ian J. Hewitt, Ayuk M. Ako, Valeriu Mereacre, and Annie K. Powell. "Magnetic coordination clusters and networks: synthesis and topological description." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 368, no. 1915 (2010): 1509–36. http://dx.doi.org/10.1098/rsta.2009.0279.

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With the discovery of the phenomenon of single-molecule magnetism, coordination chemists have turned their attention to synthesizing cluster aggregates of paramagnetic ions. This has led to a plethora of coordination clusters with various topologies and diverse magnetic properties. In this paper, we present ways of describing and understanding such compounds as well as outlining a new approach, which we have recently developed, to describing cluster topology. Our approach is based upon and pays tribute to the huge contribution made to coordination chemistry through the development of the Schlä

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26

Blatov, Vladislav A. "Topological properties of crystal structures: from description to prediction." Acta Crystallographica Section A Foundations and Advances 71, a1 (2015): s74. http://dx.doi.org/10.1107/s2053273315098903.

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27

Costa, A. T., D. L. R. Santos, N. M. R. Peres, and J. Fernández-Rossier. "Topological magnons in CrI3 monolayers: an itinerant fermion description." 2D Materials 7, no. 4 (2020): 045031. http://dx.doi.org/10.1088/2053-1583/aba88f.

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28

Gaci, Omar. "Nanonetworks of amino acids: A two-level topological description." Nano Communication Networks 1, no. 4 (2010): 310–14. http://dx.doi.org/10.1016/j.nancom.2011.01.002.

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29

Tarieladze, V. I. "A Topological Description of Characteristic Functionals in Some Groups." Theory of Probability & Its Applications 34, no. 4 (1990): 658–67. http://dx.doi.org/10.1137/1134082.

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30

Egerstedt, M., and P. Martin. "Motion Description Language-Based Topological Maps for Robot Navigation." Communications in Information and Systems 8, no. 2 (2008): 171–84. http://dx.doi.org/10.4310/cis.2008.v8.n2.a7.

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31

Aman, Farhana, Abdullah M. Asiri, Waseeq A. Siddiqui, et al. "Multilevel topological description of molecular packings in 1,2-benzothiazines." CrystEngComm 16, no. 10 (2014): 1963–70. http://dx.doi.org/10.1039/c3ce42218f.

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32

Prasad, P. Bhanu, and J. P. Jernot. "Topological description of the densification of a granular medium." Journal of Microscopy 163, no. 2 (1991): 211–20. http://dx.doi.org/10.1111/j.1365-2818.1991.tb03173.x.

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33

Kocarev, L., Z. Tasev, and D. Dimovski. "Topological description of a chaotic attractor with spiral structure." Physics Letters A 190, no. 5-6 (1994): 399–402. http://dx.doi.org/10.1016/0375-9601(94)90722-6.

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34

BAIS, F. ALEXANDER, and PER JOHN. "CORE DEFORMATIONS OF TOPOLOGICAL DEFECTS." International Journal of Modern Physics A 10, no. 23 (1995): 3241–57. http://dx.doi.org/10.1142/s0217751x9500156x.

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We consider phases of spontaneously broken gauge theories in which different types of topological excitations, like flux tubes, monopoles etc., coexist. We analyze the topological relations which exist between the charges, and give a description of the admissible core deformations in terms of certain cohomology groups that occur in obstruction theory. Simple examples are worked out in detail.

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35

ASOREY, M., A. IBORT, and G. MARMO. "GLOBAL THEORY OF QUANTUM BOUNDARY CONDITIONS AND TOPOLOGY CHANGE." International Journal of Modern Physics A 20, no. 05 (2005): 1001–25. http://dx.doi.org/10.1142/s0217751x05019798.

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We analyze the global theory of boundary conditions for a constrained quantum system with classical configuration space a compact Riemannian manifold M with regular boundary Γ=∂M. The space ℳ of self-adjoint extensions of the covariant Laplacian on M is shown to have interesting geometrical and topological properties which are related to the different topological closures of M. In this sense, the change of topology of M is connected with the nontrivial structure of ℳ. The space ℳ itself can be identified with the unitary group [Formula: see text] of the Hilbert space of boundary data [Formula:

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36

Zheng, Ya Lin. "Topological Structure - Based Rough Sets and Rough Logic." Applied Mechanics and Materials 599-601 (August 2014): 1793–96. http://dx.doi.org/10.4028/www.scientific.net/amm.599-601.1793.

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We introduce a more abstract description of rough set H in the most commonly topological structure in spite of the restriction of equivalence relation R, and the restriction of special topological space induced by R – space. Then we discuss neighborhood structure based on abstract rough set structure and general topological structure T, and research approximate reasoning problems.

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37

ATTAL, ROMAIN, and LAURENT BAULIEU. "SUPERSYMMETRIC DESCRIPTION OF SPIN-ONE PARTICLES AS A TOPOLOGICAL MODEL." Modern Physics Letters A 09, no. 25 (1994): 2347–52. http://dx.doi.org/10.1142/s0217732394002215.

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We identify the locally N=2 supersymmetric Lagrangian describing spin-one particles in a D-dimensional space-time as the gauge-fixing of a topological quantum mechanical model acting in a target-space with two extra dimensions.

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38

Claes, Veerle, and G. Sonck. "The quasitopos hull of the construct of closure spaces." Applied General Topology 4, no. 1 (2003): 15. http://dx.doi.org/10.4995/agt.2003.2006.

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<p>In the list of convenience properties for topological constructs the property of being a quasitopos is one of the most interesting ones for investigations in function spaces, differential calculus, functional analysis, homotopy theory, etc. The topological construct Cls of closure spaces and continuous maps is not a quasitopos. In this article we give an explicit description of the quasitopos topological hull of Cls using a method of F. Schwarz: we first describe the extensional topological hull of Cls and of this hull we construct the cartesian closed topological hull.</p>

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39

García Fajardo, Josefina. "Julio Calvo Pérez y Carlos Hernández Sacristán (eds.), Perceptual and topological criteria in linguistics description. University of Minnesota, Minneapolis; Universitat de València, 1988; 159 pp. (LynX. A monographic series in linguistics and world percpetion, 1)." Nueva Revista de Filología Hispánica (NRFH) 38, no. 1 (1990): 381–84. http://dx.doi.org/10.24201/nrfh.v38i1.788.

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40

Hatsugai, Y., T. Fukui, and H. Suzuki. "Topological description of (spin) Hall conductances on Brillouin zone lattices: quantum phase transitions and topological changes." Physica E: Low-dimensional Systems and Nanostructures 34, no. 1-2 (2006): 336–39. http://dx.doi.org/10.1016/j.physe.2006.03.141.

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41

Reutter, David J., and Jamie Vicary. "Shaded tangles for the design and verification of quantum circuits." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475, no. 2224 (2019): 20180338. http://dx.doi.org/10.1098/rspa.2018.0338.

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We give a scheme for interpreting shaded tangles as quantum circuits, with the property that if two shaded tangles are ambient isotopic, their corresponding computational effects are identical. We analyse 11 known quantum procedures in this way—including entanglement manipulation, error correction and teleportation—and in each case present a fully topological formal verification, yielding generalized procedures in some cases. We also use our methods to identify two new procedures, for topological state transfer and quantum error correction. Our formalism yields in some cases significant new in

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42

Kádár, Zoltán, Annalisa Marzuoli, and Mario Rasetti. "Microscopic Description of 2D Topological Phases, Duality, and 3D State Sums." Advances in Mathematical Physics 2010 (2010): 1–18. http://dx.doi.org/10.1155/2010/671039.

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Doubled topological phases introduced by Kitaev, Levin, and Wen supported on two-dimensional lattices are Hamiltonian versions of three-dimensional topological quantum field theories described by the Turaev-Viro state sum models. We introduce the latter with an emphasis on obtaining them from theories in the continuum. Equivalence of the previous models in the ground state is shown in case of the honeycomb lattice and the gauge group being a finite group by means of the well-known duality transformation between the group algebra and the spin network basis of lattice gauge theory. An analysis o

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43

Sidelev, Nikolaj I. "MATRIX-TOPOLOGICAL DESCRIPTION OF ELECTROMAGNETIC CIRCUITS IN THE FORM CAUCHY." ELECTRICAL AND COMPUTER SYSTEMS 20, no. 96 (2015): 63–73. http://dx.doi.org/10.15276/eltecs.20.96.2015.09.

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44

Sidelev, Nikolaj I. "MANAGE DIGITAL MODEL BASED ON MATRIX-TOPOLOGICAL DESCRIPTION ELECTROMAGNETIC CIRCUITS." ELECTRICAL AND COMPUTER SYSTEMS 26, no. 102 (2017): 32–40. http://dx.doi.org/10.15276/eltecs.26.102.2017.4.

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45

Roussey, Catherine, François Pinet, and Michel Schneider. "Representations of Topological Relations Between Simple Regions in Description Logics." International Journal of Agricultural and Environmental Information Systems 4, no. 2 (2013): 50–69. http://dx.doi.org/10.4018/jaeis.2013040105.

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This paper proposes an operational approach to (1) formalize, in Description Logics (DL), the topological relations between simple regions and (2) automatically check whether a set of relations is consistent. The solution allows for the use of traditional DL reasoners (Pellet, Fact++, etc.) to check the consistency of relations and detect the sources of error. The solution does not require any specific extension of the DL or reasoner. The authors demonstrate how to apply this approach with Protégé and Fact++. Different spatial relations in agricultural and environmental applications are also p

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46

Hashimoto, Atsushi, Atsuki Nagao, and Satoru Okuda. "Topological graph description of multicellular dynamics based on vertex model." Journal of Theoretical Biology 437 (January 2018): 187–201. http://dx.doi.org/10.1016/j.jtbi.2017.10.023.

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47

Barsegian, G., and D. T. Lê. "On a topological description of solutions of complex differential equations." Complex Variables, Theory and Application: An International Journal 50, no. 5 (2005): 307–18. http://dx.doi.org/10.1080/02781070500032879.

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48

Ciach, A., and A. Poniewierski. "Description of the geometrical and topological structure in amphiphilic systems." Physical Review E 52, no. 1 (1995): 596–601. http://dx.doi.org/10.1103/physreve.52.596.

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49

Gaci, Omar. "A Topological Description of Hubs in Amino Acid Interaction Networks." Advances in Bioinformatics 2010 (May 26, 2010): 1–9. http://dx.doi.org/10.1155/2010/257512.

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We represent proteins by amino acid interaction networks. This is a graph whose vertices are the proteins amino acids and whose edges are the interactions between them. Once we have compared this type of graphs to the general model of scale-free networks, we analyze the existence of nodes which highly interact, the hubs. We describe these nodes taking into account their position in the primary structure to study their apparition frequency in the folded proteins. Finally, we observe that their interaction level is a consequence of the general rules which govern the folding process.

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50

Ahmad, Sarfraz, Uzma Ahmad, Muhammad Imran, and Nighat Farah. "The Omega and Sadhana polynomials of TUC4[p,q] nanotubes." Canadian Journal of Chemistry 94, no. 5 (2016): 490–93. http://dx.doi.org/10.1139/cjc-2015-0573.

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The counting polynomials are useful in topological description of benzenoid structures. The quasi-orthogonal cut strips could account for the helicity of nanotubes and nanotori. It also helps to describe its topological indices by virtue of quasi-orthogonal cuts of the edge strips in the polycyclic graphs. In this article, we give a complete description of the Omega and Sadhana polynomials of the nanotube TUC4[p,q] and provide its mathematical proof. We also give explicit formulae for the PI and the theta polynomial of TUC4[p,q] nanotubes.

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