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Author |
Yao, W.; Hui, C.; Wang, L.; Wang, J.; Gielis, J.; Shi, P. |
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Title |
Comparison of the performance of two polar equations in describing the geometries of elliptical fruits |
Type |
A1 Journal article |
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Year |
2024 |
Publication |
Botany letters |
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Keywords |
A1 Journal article; Antwerp engineering, PhotoElectroChemistry & Sensing (A-PECS) |
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Abstract |
In nature, the two-dimensional (2D) profiles of fruits from many plants often resemble ellipses. However, it remains unclear whether these profiles strictly adhere to the ellipse equation, as many natural shapes resembling ellipses are actually better described as superellipses. The superellipse equation, which includes an additional parameter n compared to the ellipse equation, can generate a broader range of shapes, with the ellipse being just a special case of the superellipse. To investigate whether the 2D profiles of fruits are better described by ellipses or superellipses, we collected a total of 751 mature and undamaged fruits from 31 naturally growing plants of Cucumis melo L. var. agrestis Naud. Our analysis revealed that most adjusted root-mean-square errors (> 92% of the 751 fruits) for fitting the superellipse equation to the fruit profiles were consistently less than 0.0165. Furthermore, there were 638 of the 751 fruits (ca. 85%) with the 95% confidence intervals of the estimated parameter n in the superellipse equation not including 2. These findings suggest that the profiles of C. melo var. agrestis fruits align more closely with the superellipse equation than with the ellipse equation. This study provides evidence for the existence of the superellipse in fruit profiles, which has significant implications for studying fruit geometries and estimating fruit volumes using the solid of revolution formula. Furthermore, this discovery may contribute to a deeper understanding of the mechanisms driving the evolution of fruit shapes. |
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Wos |
001219634500001 |
Publication Date |
2024-05-08 |
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ISSN |
2381-8107; 2381-8115 |
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UA library record; WoS full record |
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Impact Factor |
1.5 |
Times cited |
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Open Access |
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Most recent IF: 1.5; 2024 IF: NA |
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Call Number |
UA @ admin @ c:irua:205955 |
Serial |
9140 |
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Author |
Caratelli, D.; Gielis, J.; Natalini, P.; Ricci, P.E.; Tavkhelidze, I. |
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Title |
The Robin problem for the Helmholtz equation in a starlike planar domain |
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A1 Journal article |
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Year |
2011 |
Publication |
Georgian mathematical journal |
Abbreviated Journal |
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Volume |
18 |
Issue |
3 |
Pages |
465-479 |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
The interior and exterior Robin problems for the Helmholtz equation in starlike planar domains are addressed by using a suitable Fourier-like technique. Attention is in particular focused on normal-polar domains whose boundaries are defined by the so-called superformula introduced by J. Gielis. A dedicated numerical procedure based on the computer algebra system Mathematica© is developed in order to validate the proposed approach. In this way, highly accurate approximations of the solution, featuring properties similar to the classical ones, are obtained. The computed results are found to be in good agreement with the theoretical findings on Fourier series expansion presented by L. Carleson. |
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000296166100004 |
Publication Date |
2021-02-28 |
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1072-947x |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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no |
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Call Number |
UA @ admin @ c:irua:91086 |
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8658 |
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Author |
Caratelli, D.; Gielis, J.; Ricci, P.E. |
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Title |
Fourier-like solution of the Dirichlet problem for the Laplace Equation in k-type Gielis domains |
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A1 Journal article |
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Year |
2011 |
Publication |
Journal of pure and applied mathematics : advances and applications |
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Volume |
5 |
Issue |
2 |
Pages |
99-111 |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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The interior and exterior Dirichlet problems for the Laplace equation in k-type Gielis domains are analytically addressed by using a suitable Fourier-like technique. A dedicated numerical procedure based on the computer-aided algebra tool Mathematica© is developed in order to validate the proposed approach. In this way, highly accurate approximations of the solution, featuring properties similar to the classical ones, are obtained. Computed results are found to be in good agreement with theoretical findings on Fourier series expansion presented by Carleson. |
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no |
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Call Number |
UA @ admin @ c:irua:91090 |
Serial |
7982 |
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Author |
Düking, R.; Gielis, J.; Liese, W. |
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Title |
Carbon flux and carbon stock in a bamboo stand and their relevance for mitigating climate change |
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A3 Journal article |
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Year |
2011 |
Publication |
Bamboo Science & Culture |
Abbreviated Journal |
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24 |
Issue |
1 |
Pages |
1-6 |
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Keywords |
A3 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
In this report we describe the basics of biological carbon fixation in bamboo forests. Confusing carbon stock with carbon flux has led to false expectations on the significance of bamboo forests as carbon sinks. Furthermore, misunderstandings about the growth of bamboo culms can lead to highly exaggerated expectations on the productivity of bamboo. |
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1535-7635 |
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no |
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Call Number |
UA @ admin @ c:irua:91091 |
Serial |
7578 |
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Author |
Gielis, J.; Tavkelidze, I.; Ricci, P.E. |
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Title |
About “bulky” links, generated by generalized Möbius-Listing bodies |
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H3 Book chapter |
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Year |
2011 |
Publication |
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Abbreviated Journal |
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Pages |
115-128
T2 - Proceedings of the International Conf |
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Keywords |
H3 Book chapter; Sustainable Energy, Air and Water Technology (DuEL) |
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978-9941-0-3727-6 |
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UA library record |
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no |
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Call Number |
UA @ admin @ c:irua:97753 |
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7403 |
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Author |
Van den Akker, S.; Bormans, P.; Peeters, H.; Gielis, J.; Prinsen, E. |
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Title |
Cytokinin dynamics in cell suspension cultures of Bambusa balcooa Roxburgh using UPLC-ESI/MS/MS |
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H3 Book chapter |
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Year |
2012 |
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Abbreviated Journal |
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539-547
T2 - Proceedings of the 9th World Bamboo C |
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Keywords |
H3 Book chapter; Engineering sciences. Technology; Integrated Molecular Plant Physiology Research (IMPRES); Sustainable Energy, Air and Water Technology (DuEL) |
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no |
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Call Number |
UA @ admin @ c:irua:97754 |
Serial |
7750 |
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Author |
Gielis, J. |
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Title |
Temperate bamboos in ornamental horticulture: differentiators and spillover effects into the 21st century |
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H3 Book chapter |
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2012 |
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603-623
T2 - Proceedings of the 9th World Bamboo C |
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Keywords |
H3 Book chapter; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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no |
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Call Number |
UA @ admin @ c:irua:97755 |
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8644 |
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Author |
Gielis, J.; Potters, G. |
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Title |
Proceedings of the 9th World Bamboo Congress, Antwerp 2012 |
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P3 Proceeding |
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2012 |
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P3 Proceeding; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Call Number |
UA @ admin @ c:irua:97756 |
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8413 |
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