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Symmetry
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Selected Papers: Symmetry 2017—The First International Conference on Symmetry
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Selected Papers: Symmetry 2017—The First International Conference on Symmetry

A special issue of Symmetry (ISSN 2073-8994).

Deadline for manuscript submissions: closed (30 June 2018) | Viewed by 9670

Special Issue Editors

Prof. Dr. Maurizio Benaglia

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Guest Editor
Dipartimento di Chimica, Università degli Studi di Milano via Golgi 19, 20133 Milano, Italy
Interests: stereoselective synthesis; sustainable methodologies and their application to the synthesis of chiral products of pharmaceutical interest; design and development of chiral organocatalysts; stereoselective reactions in water and other alternative reaction mediums; supported-catalysts and catalytic reactors; enantioselective transformations under continuous-flow conditions; 3D-printing technologies for micro- and mesoreactors
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Kimball Milton

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Guest Editor
Department of Physics and Astronomy, The University of Oklahoma, Norman, OK 73019-2061, USA
Interests: high energy theory; quantum field theory; casimir effect
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Sergei D. Odintsov

grade E-Mail Website
Guest Editor
1. Institució Catalana de Recerca i Estudis Avançats (ICREA), Passeig Luis Companys, 23, 08010 Barcelona, Spain
2. Institute of Space Sciences (ICE-CSIC), C. Can Magrans s/n, 08193 Barcelona, Spain
Interests: cosmology; dark energy and inflation; quantum gravity; modified gravity and beyond general relativity; quantum fields at external fields
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Cino Pertoldi

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Guest Editor
Department of Chemistry and Bioscience - Section for Environmental technology, Aalborg University, Fredrik Bajers Vej 7, 9220 Aalborg, Denmark
Interests: conservation biology; theoretical ecology; population genetics

Special Issue Information

Dear Colleagues,

Symmetry 2017—The First International Conference on Symmetry (http://sciforum.net/conference/symmetry2017), organized by the MDPI journal Symmetry, will be held in Barcelona, Spain, 16–18 October 2017. We welcome scholars, engineers, students and enterprises to join this big event, and submit abstracts to our conference website.

To promote the results of abstract submissions, we will collect the conference proceedings in an electronic book format and announce this on the Symmetry webpage (https://www.mdpi.com/journal/symmetry). In addition, we have set up this Special Issue to publish full papers from the conference.

Manuscripts submitted to our journal Symmetry will receive a thorough peer review and fast publication.

Prof. Dr. Sergei D. Odintsov
Prof. Dr. Kimball A. Milton
Prof. Dr. Cino Pertoldi
Prof. Dr. Maurizio Benaglia
Guest Editors

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Further information on MDPI's Special Issue policies can be found here.

Published Papers (2 papers)

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18 pages, 5744 KiB  
Article
Towards More Realistic Leaf Shapes in Functional-Structural Plant Models
by Dominik Schmidt and Katrin Kahlen
Symmetry 2018, 10(7), 278; https://doi.org/10.3390/sym10070278 - 12 Jul 2018
Cited by 16 | Viewed by 5440
Abstract
Fluctuating asymmetry in plant leaves is a widely used measure in geometric morphometrics for assessing random deviations from perfect symmetry. In this study, we considered the concept of fluctuating asymmetry to improve the prototype leaf shape of the functional-structural plant model L-Cucumber. [...] Read more.
Fluctuating asymmetry in plant leaves is a widely used measure in geometric morphometrics for assessing random deviations from perfect symmetry. In this study, we considered the concept of fluctuating asymmetry to improve the prototype leaf shape of the functional-structural plant model L-Cucumber. The overall objective was to provide a realistic geometric representation of the leaves for the light sensitive plant reactions in the virtual plant model. Based on three-dimensional data from several hundred in situ digitized cucumber leaves comparisons of model leaves and measurements were conducted. Robust Bayesian comparison of groups was used to assess statistical differences between leaf halves while respecting fluctuating asymmetries. Results indicated almost no directional asymmetry in leaves comparing different distances from the prototype while detecting systematic deviations shared by both halves. This information was successfully included in an improved leaf prototype and implemented in the virtual plant model L-Cucumber. Comparative virtual plant simulations revealed a slight improvement in plant internode development against experimental data using the novel leaf shape. Further studies can now focus on analyses of stress on the 3D-deformation of the leaf and the development of a dynamic leaf shape model. Full article
(This article belongs to the Special Issue Selected Papers: Symmetry 2017—The First International Conference on Symmetry)
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13 pages, 273 KiB  
Article
Symmetric Representation of Ternary Forms Associated to Some Toeplitz Matrices †
by Mao-Ting Chien and Hiroshi Nakazato
Symmetry 2018, 10(3), 55; https://doi.org/10.3390/sym10030055 - 27 Feb 2018
Viewed by 2874
Abstract
Let A be an n × n complex matrix. Assume the determinantal curve [...] Read more.
Let A be an n × n complex matrix. Assume the determinantal curve V A = { [ ( x , y , z ) ] ∈ CP 2 : F A ( x , y , z ) = det ( x ℜ ( A ) + y ℑ ( A ) + z I n ) = 0 } is a rational curve. The Fiedler formula provides a complex symmetric matrix S satisfying F S ( x , y , z ) = F A ( x , y , z ) . It is also known that every Toeplitz matrix is unitarily similar to a symmetric matrix. In this paper, we investigate the unitary similarity of the symmetric matrix S and the matrix A in the Fiedler theorem for a specific parametrized family of 4 × 4 nilpotent Toeplitz matrices A. We show that there are either one or at least three unitarily inequivalent symmetric matrices which admit the determinantal representation of the ternary from F A ( x , y , z ) associated to the specific 4 × 4 nilpotent Toeplitz matrices. Full article
(This article belongs to the Special Issue Selected Papers: Symmetry 2017—The First International Conference on Symmetry)
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