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Journal articles on the topic 'Mirror symmetry'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Ma, Zhi Yong. "Research on Concept System of Rotation-Mirror Symmetry in Mechanical Systems." Applied Mechanics and Materials 201-202 (October 2012): 7–10. http://dx.doi.org/10.4028/www.scientific.net/amm.201-202.7.

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Mechanical rotation-mirror symmetry is grouped by rotation symmetry and mirror symmetry, and belongs to mechanical static structure symmetry. Collecting and Analyzing a lot of rotation-mirror symmetric instances, and referring to the researches on concept systems of rotation symmetry and mirror symmetry, the concept system of rotation-mirror symmetry was established. The concept system is classified by discrete mirror and continuous mirror rotation-mirror symmetry, unidirectional rotation and bidirectional rotation rotation-mirror symmetry, directed rotation and deflecting rotation rotation-mi

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2

Huang, Tianyu, Bowen Dong, Jiaying Lin, Xiaohui Liu, Rynson W.H. Lau, and Wangmeng Zuo. "Symmetry-Aware Transformer-Based Mirror Detection." Proceedings of the AAAI Conference on Artificial Intelligence 37, no. 1 (2023): 935–43. http://dx.doi.org/10.1609/aaai.v37i1.25173.

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Mirror detection aims to identify the mirror regions in the given input image. Existing works mainly focus on integrating the semantic features and structural features to mine specific relations between mirror and non-mirror regions, or introducing mirror properties like depth or chirality to help analyze the existence of mirrors. In this work, we observe that a real object typically forms a loose symmetry relationship with its corresponding reflection in the mirror, which is beneficial in distinguishing mirrors from real objects. Based on this observation, we propose a dual-path Symmetry-Awar

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3

Takahashi, Nobuyoshi. "Log Mirror Symmetry and Local Mirror Symmetry." Communications in Mathematical Physics 220, no. 2 (2001): 293–99. http://dx.doi.org/10.1007/pl00005567.

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4

Ma, Zhi Yong. "Research on Concept System of Mechanical Glide Symmetry." Applied Mechanics and Materials 151 (January 2012): 433–37. http://dx.doi.org/10.4028/www.scientific.net/amm.151.433.

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As one kind of mechanical static structure symmetry, glide symmetry is grouped by mirror symmetry and translation symmetry. Glide symmetry is widely exists in mechanical systems, and plays an important role in realizing the technical, economic and social performances of mechanical products. On the basis of research on the concept systems of mirror symmetry, translation symmetry and glide symmetric instances, and taking the characters of the different combined types of symmetry benchmarks as the standard, the concept system of mechanical glide symmetry was established, which can be the foundati

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5

MELKEMI, MAHMOUD, FREDERIC CORDIER, and NICKOLAS S. SAPIDIS. "A PROVABLE ALGORITHM TO DETECT WEAK SYMMETRY IN A POLYGON." International Journal of Image and Graphics 13, no. 01 (2013): 1350002. http://dx.doi.org/10.1142/s0219467813500022.

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This paper deals with the problem of detecting "weak symmetry" in a polygon, which is a special bijective and continuous mapping between the vertices of the given polygon. An application of this work is the automatic reconstruction of 3D polygons symmetric with respect to a plane from free-hand sketches of weakly-symmetric 2D polygons. We formalize the weak-symmetry notion and highlight its many properties which lead to an algorithm detecting it. The closest research work to the proposed approach is the detection of skewed symmetry. Skewed symmetry detection deals only with reconstruction of p

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6

Blumenhagen, Ralph, Rolf Schimmrigk, and Andreas Wiβkirchen. "(0,2) Mirror symmetry." Nuclear Physics B 486, no. 3 (1997): 598–628. http://dx.doi.org/10.1016/s0550-3213(96)00698-0.

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7

Gross, Mark. "Topological mirror symmetry." Inventiones mathematicae 144, no. 1 (2001): 75–137. http://dx.doi.org/10.1007/s002220000119.

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8

Wan, Daqing. "Arithmetic Mirror Symmetry." Pure and Applied Mathematics Quarterly 1, no. 2 (2005): 369–78. http://dx.doi.org/10.4310/pamq.2005.v1.n2.a7.

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9

Zhang, Jun, and Gabriel Khan. "Statistical mirror symmetry." Differential Geometry and its Applications 73 (December 2020): 101678. http://dx.doi.org/10.1016/j.difgeo.2020.101678.

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10

Dumitru, Petru I. Iga, Popescu Dumitru, and I. R. Niculescu Valentin. "On the Impact of Meso compounds and their Isomers: Towards a New Type of Oscillation?" Chemistry Research Journal 7, no. 1 (2022): 39–48. https://doi.org/10.5281/zenodo.11395801.

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<strong>Abstract </strong><em>Meso</em> compounds are of two types: homo- and heterodimers. The quality of <em>meso</em> form is apprised either by a mirror plane of symmetry or by application of Cahn-Ingold-Prelog rules, for the molecules devoid of a mirror plane of symmetry (dissymetric). Other elements of symmetry are centre of symmetry and the alternative axis of symmetry. The main subgroup of symmetric compounds is formed of <em>meso</em> ones. In this paper we have used arbitrarily <em>meso</em> dimers as a reference for comparison with other types of isomers ‒ <em>C2 symmetrical</em> (<

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11

DUNDEE, B., J. PERKINS, and G. CLEAVER. "OBSERVABLE/HIDDEN SECTOR BROKEN SYMMETRY FOR SYMMETRIC BOUNDARY CONDITIONS." International Journal of Modern Physics A 21, no. 16 (2006): 3367–85. http://dx.doi.org/10.1142/s0217751x06031090.

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A four-dimensional heterotic string model of free fermionic construction is presented wherein mirror symmetry breaking between observable and hidden sector gauge groups occurs in spite of mirror symmetry between observable and hidden sector worldsheet fermion boundary conditions. The differentiation is invoked by an asymmetry in GSO projections necessarily resulting from the symmetry of the free fermionic boundary conditions. In the specific examples shown, an expected nonchiral Pati–Salam mirror universe model is transformed into a chiral model with enhanced hidden sector gauge symmetry and r

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12

Giveon, Amit, and Edward Witten. "Mirror symmetry as a gauge symmetry." Physics Letters B 332, no. 1-2 (1994): 44–50. http://dx.doi.org/10.1016/0370-2693(94)90856-7.

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13

Wang, Junxiao. "Mirror symmetric gamma conjecture for tropical curves in local mirror symmetry." Journal of Symplectic Geometry 23, no. 2 (2025): 309–83. https://doi.org/10.4310/jsg.250624011941.

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14

Okino, Shinya, and Masato Nagata. "Asymmetric travelling waves in a square duct." Journal of Fluid Mechanics 693 (January 6, 2012): 57–68. http://dx.doi.org/10.1017/jfm.2011.455.

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AbstractTwo types of asymmetric solutions are found numerically in square-duct flow. They emerge through a symmetry-breaking bifurcation from the mirror-symmetric solutions discovered by Okino et al. (J. Fluid Mech., vol. 657, 2010, pp. 413–429). One of them is characterized by a pair of streamwise vortices and a low-speed streak localized near one of the sidewalls and retains the shift-and-reflect symmetry. The bifurcation nature as well as the flow structure of the solution show striking resemblance to those of the asymmetric solution in pipe flow found by Pringle & Kerswell (Phys. Rev.

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15

Ma, Zhi Yong. "Research on Existences and Concept System of Mirror Symmetry in Static Structure of Mechanical Products." Advanced Materials Research 421 (December 2011): 806–9. http://dx.doi.org/10.4028/www.scientific.net/amr.421.806.

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Mirror symmetry is a most common phenomenon in static structure of mechanical products, and plays an important role in realizing the function of mechanical systems, improving their performance, and meeting their design restrictions. On the basis of analyzing plentiful instances, the existences of mirror symmetry were studied. By taking the independence property of symmetry components, the type of symmetry benchmark and the number of symmetry benchmark as standards, the concept system of mirror symmetry in static structure of mechanical products was established, and can provides a theoretical b

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16

Cowin, S. C., and M. M. Mehrabadi. "Anisotropic Symmetries of Linear Elasticity." Applied Mechanics Reviews 48, no. 5 (1995): 247–85. http://dx.doi.org/10.1115/1.3005102.

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The objective of this paper is to present a development of the anisotropic symmetries of linear elasticity theory based on the use of a single symmetry element, the plane of mirror symmetry. In this presentation the thirteen distinct planes of mirror symmetry are catalogued. Traditional presentations of the anisotropic elastic symmetries involve all the crystallographic symmetry elements which include the center of symmetry, the n-fold rotation axis and the n-fold inversion axis as well as the plane of mirror symmetry. It is shown that the crystal system symmetry groups, as opposed to the crys

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17

Parente, Carlos Benedicto Ramos, Vera Lucia Mazzocchi, José Marcos Sasaki, and Lisandro Pavie Cardoso. "Mirror symmetries in multiple diffraction patterns of face-centred cubic crystals." Journal of Applied Crystallography 45, no. 4 (2012): 621–26. http://dx.doi.org/10.1107/s0021889812026830.

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In this work, a study of the mirror symmetries appearing in multiple diffraction patterns of face-centred cubic crystals is carried out. Several different X-ray and neutron multiple diffraction patterns have been simulated for different face-centred cubic structures. The patterns were plotted in circular plots which showed that two types of symmetry mirrors coexist in the patterns: isomorphic and anamorphic mirrors. The number and types of mirrors depend on then-fold symmetry of the scattering vector associated with the primary reflection. Forneven, onlynisomorphic mirrors appear in the patter

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18

Locher, Paul J., and Johan Wagemans. "Effects of Element Type and Spatial Grouping on Symmetry Detection." Perception 22, no. 5 (1993): 565–87. http://dx.doi.org/10.1068/p220565.

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The influence of local and global attributes of symmetric patterns on the perceptual salience of symmetry was investigated. After tachistoscopic viewing, subjects discriminated between symmetric and either random patterns (experiment 1) or their perturbed counterparts (experiment 2) created by replacing one third of the mirror element-pairs of symmetric stimuli with ‘random’ elements. In general, it was found that perceptibility of symmetry, measured by response time and detection accuracy, was not influenced in a consistent way by type of pattern element (dots or line segments oriented vertic

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19

Sintsov, E. V., S. S. Goncharenko, and L. V. Aleksandrova. "Mirror Symmetry in Music." Leonardo Music Journal 8 (1998): 78. http://dx.doi.org/10.2307/1513411.

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20

LeBrasseur, Nicole. "Mirror symmetry in division." Journal of Cell Biology 177, no. 2 (2007): 186. http://dx.doi.org/10.1083/jcb.1772rr4.

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21

Brunner, Ilka, and Kentaro Hori. "Orientifolds and Mirror Symmetry." Journal of High Energy Physics 2004, no. 11 (2004): 005. http://dx.doi.org/10.1088/1126-6708/2004/11/005.

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22

Aganagic, Mina, and Cumrun Vafa. "Mirror symmetry and aG2flop." Journal of High Energy Physics 2003, no. 05 (2003): 061. http://dx.doi.org/10.1088/1126-6708/2003/05/061.

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23

Yao, Carl. "Magnetism and mirror symmetry." American Journal of Physics 63, no. 6 (1995): 520–23. http://dx.doi.org/10.1119/1.17863.

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24

Gu, Pei-Hong. "Mirror left–right symmetry." Physics Letters B 713, no. 4-5 (2012): 485–89. http://dx.doi.org/10.1016/j.physletb.2012.06.042.

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25

Ferrara, Sergio, Jeffrey A. Harvey, Andrew Strominger, and Cumrun Vafa. "Second-quantized mirror symmetry." Physics Letters B 361, no. 1-4 (1995): 59–65. http://dx.doi.org/10.1016/0370-2693(95)01074-z.

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26

KONISHI, EIJI. "PLANAR HOMOLOGICAL MIRROR SYMMETRY." International Journal of Modern Physics A 22, no. 29 (2007): 5351–68. http://dx.doi.org/10.1142/s0217751x07037202.

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In this paper, we formulate a planar limited version of the B-side in homological mirror symmetry that formularizes Chern–Simons-type topological open string field theory using homotopy associative algebra (A∞ algebra). This formulation is based on the works by Dijkgraaf and Vafa. We show that our formularization includes gravity/gauge theory correspondence which originates in the AdS/CFT duality of Dijkgraaf–Vafa theory.

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27

Aganagic, Mina, and Cumrun Vafa. "Mirror symmetry and supermanifold." Advances in Theoretical and Mathematical Physics 8, no. 6 (2004): 939–54. http://dx.doi.org/10.4310/atmp.2004.v8.n6.a1.

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28

Leung, Naichung Conan. "Mirror Symmetry Without Corrections." Communications in Analysis and Geometry 13, no. 2 (2005): 287–331. http://dx.doi.org/10.4310/cag.2005.v13.n2.a2.

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29

Sheridan, Nick. "Versality in mirror symmetry." Current Developments in Mathematics 2017, no. 1 (2017): 37–86. http://dx.doi.org/10.4310/cdm.2017.v2017.n1.a2.

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30

Gammage, Benjamin, and David Nadler. "Mirror symmetry for honeycombs." Transactions of the American Mathematical Society 373, no. 1 (2019): 71–107. http://dx.doi.org/10.1090/tran/7909.

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31

Gukov, Sergei. "Quantization via mirror symmetry." Japanese Journal of Mathematics 6, no. 2 (2011): 65–119. http://dx.doi.org/10.1007/s11537-011-1033-2.

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32

Webster, Ben, and Philsang Yoo. "3-Dimensional Mirror Symmetry." Notices of the American Mathematical Society 70, no. 09 (2023): 1. http://dx.doi.org/10.1090/noti2778.

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33

GHOSH, RANJAN KUMAR, and SUMATHI RAO. "FEW-ANYON SPECTRA IN A HARMONIC OSCILLATOR POTENTIAL." Modern Physics Letters B 10, no. 11 (1996): 515–22. http://dx.doi.org/10.1142/s0217984996000560.

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We study the problem of four and five anyons in a harmonic oscillator potential and make some exact statements regarding its energy spectra. We show that the spectra exhibit some mirror symmetric (reflection symmetric about the semionic statistics point θ=π/2) features analogous to the mirror symmetry in the two and three anyon spectra.

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34

Tan, Wanpeng. "Mirror Symmetry for New Physics beyond the Standard Model in 4D Spacetime." Symmetry 15, no. 7 (2023): 1415. http://dx.doi.org/10.3390/sym15071415.

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The two discrete generators of the full Lorentz group O(1,3) in 4D spacetime are typically chosen to be parity inversion symmetry P and time reversal symmetry T, which are responsible for the four topologically separate components of O(1,3). Under general considerations of quantum field theory (QFT) with internal degrees of freedom, mirror symmetry is a natural extension of P, while CP symmetry resembles T in spacetime. In particular, mirror symmetry is critical as it doubles the full Dirac fermion representation in QFT and essentially introduces a new sector of mirror particles. Its close con

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35

Friedenberg, Jay, Preston Martin, Naomi Uy, and Mackenzie Kvapil. "The aesthetics of frieze patterns: Effects of symmetry, motif, and element size." i-Perception 13, no. 5 (2022): 204166952211311. http://dx.doi.org/10.1177/20416695221131112.

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Frieze patterns appear frequently in architectural designs and ornamental patterning but their aesthetic qualities have never been studied experimentally. In the first experiment, 39 undergraduates used a seven-point rating scale to assess the perceived beauty of the seven basic frieze types presented at a horizontal orientation. The friezes consisted of individual curved and linear motifs as well as random textures. Friezes that filled the entire pattern region and which contained emergent global features were preferred the most. In a second experiment, we utilized horizontal texture friezes

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36

Böhm, Janko, Kathrin Bringmann, Arne Buchholz, and Hannah Markwig. "Tropical mirror symmetry for elliptic curves." Journal für die reine und angewandte Mathematik (Crelles Journal) 2017, no. 732 (2017): 211–46. http://dx.doi.org/10.1515/crelle-2014-0143.

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Abstract Mirror symmetry relates Gromov–Witten invariants of an elliptic curve with certain integrals over Feynman graphs [10]. We prove a tropical generalization of mirror symmetry for elliptic curves, i.e., a statement relating certain labeled Gromov–Witten invariants of a tropical elliptic curve to more refined Feynman integrals. This result easily implies the tropical analogue of the mirror symmetry statement mentioned above and, using the necessary Correspondence Theorem, also the mirror symmetry statement itself. In this way, our tropical generalization leads to an alternative proof of m

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37

Hochstein, Shaul. "The Eyes Wide Shut Illusion." Perception 47, no. 9 (2018): 985–90. http://dx.doi.org/10.1177/0301006618786863.

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The new “eyes wide shut” illusion uses a standard enlarging (shaving or makeup) mirror. Close one eye and look at the closed eye in the mirror; the eye should take up most of the mirror. Switch eyes to see the other closed eye. Switch back-and-forth a few times, then open both eyes. You see an open eye. Which eye is it? To find out, close one eye. Whichever you close, that’s the eye you see. How can this be possible? The brain is fusing two images of the two eyes! The illusion depends on (a) binocular fusion: The brain combines two images to a single percept; (b) symmetry: Mirrors don’t affect

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38

FORBES, BRIAN, and MASAO JINZENJI. "J FUNCTIONS, NON-NEF TORIC VARIETIES AND EQUIVARIANT LOCAL MIRROR SYMMETRY OF CURVES." International Journal of Modern Physics A 22, no. 13 (2007): 2327–60. http://dx.doi.org/10.1142/s0217751x0703649x.

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We provide a straightforward computational scheme for the equivariant local mirror symmetry of curves, i.e. mirror symmetry for [Formula: see text] for k ≥ 1, and detail related methods for dealing with mirror symmetry of non-nef toric varieties, based on the theorems of Refs. 2 and 13. The basic tools are equivariant I functions and their Birkhoff factorization.

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39

Gravel, P., and C. Gauthier. "Mirror symmetry and conformal flatness in general Relativity." International Journal of Mathematics and Mathematical Sciences 2004, no. 41 (2004): 2205–8. http://dx.doi.org/10.1155/s0161171204309038.

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Using symmetry arguments only, we show that every spacetime with mirror-symmetric spatial sections is necessarily conformally flat. The general form of the Ricci tensor of such spacetimes is also determined.

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40

Hien, Nguyen D. "A first-principles prediction of novel Janus T′-RuXY (X/Y = S, Se, Te) monolayers: structural properties and electronic structures." RSC Advances 12, no. 35 (2022): 22671–77. http://dx.doi.org/10.1039/d2ra04225h.

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41

Ithawii, Rana, and Ban Sabah Hameed. "Study of the Symmetry Energy and the Nuclear Equation of State for 13O -13B and 13N-13C Mirror Nuclei." Iraqi Journal of Physics 21, no. 4 (2023): 24–31. http://dx.doi.org/10.30723/ijp.v21i4.1147.

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In parallel with the shell model using the harmonic oscillator's single-particle wave functions, the Hartree-Fock approximation was also used to calculate the neutron skin thickness, the mirror charge radii, and the differences in proton radii for 13O-13B and 13N-13C mirror nuclei. The calculations were done for both mirror nuclei in the psdpn model space. Depending on the type of potential used, the calculated values of skin thickness are affected. The symmetry energy and the symmetry energy's slope at nuclear saturation density were also determined, and the ratio of the density to the satura

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42

Miller, Catherine M. "Kaleidoscopes and Mathematics: An Elegant Connection." Mathematics Teaching in the Middle School 22, no. 9 (2017): 559–66. http://dx.doi.org/10.5951/mathteacmiddscho.22.9.0559.

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Symmetry is used to create mathematically inspiring images in three-mirror kaleidoscopes. A project outlines how students can build their own kaleidoscopes having mathematically exact symmetric images.

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43

Bellagarda, Cayla A., James E. Dickinson, Jason Bell, and David R. Badcock. "Haemodynamic Signatures of Temporal Integration of Visual Mirror Symmetry." Symmetry 14, no. 5 (2022): 901. http://dx.doi.org/10.3390/sym14050901.

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EEG, fMRI and TMS studies have implicated the extra-striate cortex, including the Lateral Occipital Cortex (LOC), in the processing of visual mirror symmetries. Recent research has found that the sustained posterior negativity (SPN), a symmetry specific electrophysiological response identified in the region of the LOC, is generated when temporally displaced asymmetric components are integrated into a symmetric whole. We aim to expand on this finding using dynamic dot-patterns with systematically increased intra-pair temporal delay to map the limits of temporal integration of visual mirror symm

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44

NAVILIAT-CUNCIC, OSCAR. "Mirror symmetry and fundamental interactions." European Review 13, S2 (2005): 13–27. http://dx.doi.org/10.1017/s1062798705000633.

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Our modern representation of elementary processes considers that all physical phenomena result from the interplay of four fundamental interactions: the gravitational attraction, the electromagnetic force, the strong interaction and the weak interaction. Formally, the quantum mechanical description of elementary processes introduces the concept of discrete symmetry, illustrated for instance by space and time inversions. Discrete symmetries play a central role in the elaboration of theories and models, and have profound consequences in the predictions of these theories. For nearly 50 years, it h

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45

Бимурзаев, С. Б., Н. У. Алдияров та З. С. Саутбекова. "Высокодисперсионные электростатические зеркала вращательной симметрии с времяпролетной фокусировкой по энергии третьего порядка". Журнал технической физики 90, № 7 (2020): 1195. http://dx.doi.org/10.21883/jtf.2020.07.49456.280-19.

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Expressions describing the time of flight of charged particles taking into account time-of-flight chromatic aberrations in electrostatic mirrors of rotational symmetry are presented. The conditions of time-of-flight focusing by particle energy up to the third order inclusively in the three-electrode mirrors, the electrodes of which are coaxial cylinders of equal diameter, were determined by numerical calculations. Various modes of operation of such mirrors are considered: 1) space-time-of-flight focusing in the Gaussian plane of the mirror; 2) space-time-of-flight focusing in the focal plane o

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46

Ma, Zhi Yong. "Research on Existences and Concept System of Reversal Symmetry in Mechanical Systems." Advanced Materials Research 457-458 (January 2012): 377–80. http://dx.doi.org/10.4028/www.scientific.net/amr.457-458.377.

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Reversal symmetry is one kind of mechanical static structure symmetry, grouped by rotation symmetry and mirror symmetry, widely exists in structures of mechanical products. On the basis of research on the concept systems of rotation symmetry and mirror symmetry and based on analysis of a lot of instances, the concept system of reversal symmetry was established by taking the independence of symmetry components, the directivity of symmetry components, the rotary type of symmetry components and the dimensionality of symmetry components as standards. Accurate instances were particularized to expla

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47

Abouzaid, Mohammed. "Homological mirror symmetry without correction." Journal of the American Mathematical Society 34, no. 4 (2021): 1059–173. http://dx.doi.org/10.1090/jams/973.

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Let X X be a closed symplectic manifold equipped with a Lagrangian torus fibration over a base Q Q . A construction first considered by Kontsevich and Soibelman produces from this data a rigid analytic space Y Y , which can be considered as a variant of the T T -dual introduced by Strominger, Yau, and Zaslow. We prove that the Fukaya category of tautologically unobstructed graded Lagrangians in X X embeds fully faithfully in the derived category of (twisted) coherent sheaves on Y Y , under the technical assumption that π 2 ( Q ) \pi _2(Q) vanishes (all known examples satisfy this assumption).

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48

Batyrev, V., and E. Materov. "Toric Residues and Mirror Symmetry." Moscow Mathematical Journal 2, no. 3 (2002): 435–75. http://dx.doi.org/10.17323/1609-4514-2002-2-3-435-475.

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49

Lian, Bong H., and S. T. Yau. "Differential equations from mirror symmetry." Surveys in Differential Geometry 5, no. 1 (1999): 510–26. http://dx.doi.org/10.4310/sdg.1999.v5.n1.a7.

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50

Gross, Mark, and Bernd Siebert. "Theta functions and mirror symmetry." Surveys in Differential Geometry 21, no. 1 (2016): 95–138. http://dx.doi.org/10.4310/sdg.2016.v21.n1.a3.

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