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Author |
Tian, F.; Wang, Y.; Sandhu, H.S.; Gielis, J.; Shi, P. |
![goto web page url](http://nano.uantwerpen.be/nanorefs/img/www.gif)
![find record details (via OpenURL) openurl](img/xref.gif)
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Title |
Comparison of seed morphology of two ginkgo cultivars |
Type |
A1 Journal article |
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Year |
2020 |
Publication |
Journal Of Forestry Research |
Abbreviated Journal |
J Forestry Res |
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Volume |
31 |
Issue |
3 |
Pages |
751-758 |
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Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Ginkgo biloba L. is a precious relic tree species with important economic value. Seeds, as a vital reproductive organ of plants, can be used to distinguish cultivars of the species. We chose 400 seeds from two cultivars of ginkgo (Fozhi and Maling; 200 seeds for each cultivar) as the study material and used the Gielis equation to fit the projected shape of these seeds. The coefficients of variation (CV) in root mean squared errors (RMSE) obtained from the fitted data were used to compare the level of inter-cultivar variations in seed shape. We also used the covariance analysis to compare the allometric relationships between seed weights and projected areas of these two cultivars. The Gielis equation fitted well the seed shapes of two ginkgo cultivars. The lower CV in RMSE of cultivar Fozhi than Maling indicated a less symmetrical seed shape in the latter than the former. The bootstrap percentile method showed that the seed shape differences between the two cultivars were significant. However, there was no significant difference in the exponents between the seed weights and the projected areas of these two cultivars. Overall, the significant differences in shapes between the seeds of two ginkgo cultivars were well explained by the Gielis equation; this model can be further extended to compare morphological differences in other ginkgo cultivars, and even for plant seeds or animal eggs that have similar oval shapes. |
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000529367600005 |
Publication Date |
2018-07-28 |
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ISSN |
1007-662x |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
3 |
Times cited |
3 |
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Notes |
; ; |
Approved |
Most recent IF: 3; 2020 IF: 0.774 |
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Call Number |
UA @ admin @ c:irua:154987 |
Serial |
6474 |
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Author |
Shi, P.; Ratkowsky, D.A.; Gielis, J. |
![goto web page (via DOI) doi](http://nano.uantwerpen.be/nanorefs/img/doi.gif)
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Title |
The generalized Gielis geometric equation and its application |
Type |
A1 Journal article |
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Year |
2020 |
Publication |
Symmetry-Basel |
Abbreviated Journal |
Symmetry-Basel |
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Volume |
12 |
Issue |
4 |
Pages |
645-10 |
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Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Many natural shapes exhibit surprising symmetry and can be described by the Gielis equation, which has several classical geometric equations (for example, the circle, ellipse and superellipse) as special cases. However, the original Gielis equation cannot reflect some diverse shapes due to limitations of its power-law hypothesis. In the present study, we propose a generalized version by introducing a link function. Thus, the original Gielis equation can be deemed to be a special case of the generalized Gielis equation (GGE) with a power-law link function. The link function can be based on the morphological features of different objects so that the GGE is more flexible in fitting the data of the shape than its original version. The GGE is shown to be valid in depicting the shapes of some starfish and plant leaves. |
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000540222200156 |
Publication Date |
2020-04-21 |
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2073-8994 |
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UA library record; WoS full record; WoS citing articles |
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Impact Factor |
2.7 |
Times cited |
4 |
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Notes |
; This research was funded by the Jiangsu Government Scholarship for Overseas Studies (grant number: JS-2018-038). ; |
Approved |
Most recent IF: 2.7; 2020 IF: 1.457 |
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Call Number |
UA @ admin @ c:irua:168141 |
Serial |
6526 |
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Author |
Gielis, J.; Caratelli, D.; Shi, P.; Ricci, P.E. |
![goto web page (via DOI) doi](http://nano.uantwerpen.be/nanorefs/img/doi.gif)
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Title |
A note on spirals and curvature |
Type |
A1 Journal article |
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Year |
2020 |
Publication |
Growth and form |
Abbreviated Journal |
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Volume |
1 |
Issue |
1 |
Pages |
1-8 |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Starting from logarithmic, sinusoidal and power spirals, it is shown how these spirals are connected directly with Chebyshev polynomials, Lamé curves, with allometry and Antonelli-metrics in Finsler geometry. Curvature is a crucial concept in geometry both for closed curves and equiangular spirals, and allowed Dillen to give a general definition of spirals. Many natural shapes can be described as a combination of one of two basic shapes in nature—circle and spiral—with Gielis transformations. Using this idea, shape description itself is used to develop a novel approach to anisotropic curvature in nature. Various examples are discussed, including fusion in flowers and its connection to the recently described pseudo-Chebyshev functions. |
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2020-02-23 |
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Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:167061 |
Serial |
6569 |
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Author |
Dattoli, G.; Di Palma, E.; Gielis, J.; Licciardi, S. |
![goto web page (via DOI) doi](http://nano.uantwerpen.be/nanorefs/img/doi.gif)
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Title |
Parabolic trigonometry |
Type |
A1 Journal article |
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Year |
2020 |
Publication |
International journal of applied and computational mathematics |
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Volume |
6 |
Issue |
2 |
Pages |
37 |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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2020-03-04 |
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ISSN |
2349-5103 |
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UA library record |
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Open Access ![sorted by Open Access field, ascending order (up)](img/sort_asc.gif) |
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Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:167049 |
Serial |
6578 |
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Author |
De Tommasi, E.; Rogato, A.; Caratelli, D.; Mescia, L.; Gielis, J. |
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Title |
Following the photons route : mathematical models describing the interaction of diatoms with light |
Type |
H1 Book chapter |
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Year |
2022 |
Publication |
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1-53 |
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Keywords |
H1 Book chapter; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
The interaction of diatoms with sunlight is fundamental in order to deeply understand their role in terrestrial ecology and biogeochemistry, essentially due to their massive contribution to global primary production through photosynthesis and its e↵ect on carbon, oxygen and silicon cycles. Following the journey of light through natural waters, its propagation through the intricate frustule micro- and nano-structure and, finally, its fate inside the photosynthetic machinery of the living cell requires several mathematical and computational models in order to accurately describe all the involved phenomena taking place at di↵erent space scales and physical regimes. In this chapter, we review the main analytical models describing the underwater optical field, the essential numerical algorithms for the study of photonic properties of the diatom frustule seen as a natural metamaterial, as well as the principal models describing photon harvesting in diatom plastids and methods for complex EM propagation problems and wave propagation in dispersive materials with multiple relaxation times. These mathematical methods will be integrated in a unifying geometric perspective. |
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978-1-119-74985-1 |
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Open Access ![sorted by Open Access field, ascending order (up)](img/sort_asc.gif) |
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Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:186731 |
Serial |
7165 |
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Author |
Gielis, J.; Grigolia, R. |
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Title |
Lamé curves and Rvachev's R-functions |
Type |
A3 Journal article |
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Year |
2022 |
Publication |
Sn – 1512-0066 |
Abbreviated Journal |
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Volume |
37 |
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Pages |
1-4 |
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A3 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Gielis transformations are a generalization of Lame curves. To combine domains, we can make use of the natural alliance between Lame's work and Rvachev's R-functions. A logical next step is the extension to n-valued logic dening dierent partitions. |
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Open Access ![sorted by Open Access field, ascending order (up)](img/sort_asc.gif) |
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Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:189316 |
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7178 |
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Author |
Gielis, J.; Shi, P.; Caratelli, D. |
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Title |
Universal equations : a fresh perspective |
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A1 Journal article |
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Year |
2022 |
Publication |
Growth and Form |
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A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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A uniform description of natural shapes and phenomena is an important goal in science. Such description should check some basic principles, related to 1) the complexity of the model, 2) how well its fits real objects, phenomena and data, and 3) ia direct connection with optimization principles and the calculus of variations. In this article, we present nine principles, three for each group, and we compare some models with a claim to universality. It is also shown that Gielis Transformations and power laws have a common origin in conic sections |
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Open Access ![sorted by Open Access field, ascending order (up)](img/sort_asc.gif) |
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Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:189317 |
Serial |
7224 |
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Author |
Shi, P.; Ratkowsky, D.A.; Li, Y.; Zhang, L.; Lin, S.; Gielis, J. |
![goto web page (via DOI) doi](http://nano.uantwerpen.be/nanorefs/img/doi.gif)
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Title |
A general leaf area geometric formula exists for plants evidence from the simplified Gielis equation |
Type |
A1 Journal article |
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Year |
2018 |
Publication |
Forests (19994907) |
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Volume |
9 |
Issue |
11 |
Pages |
714 |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Plant leaves exhibit diverse shapes that enable them to utilize a light resource maximally. If there were a general parametric model that could be used to calculate leaf area for different leaf shapes, it would help to elucidate the adaptive evolutional link among plants with the same or similar leaf shapes. We propose a simplified version of the original Gielis equation (SGE), which was developed to describe a variety of object shapes ranging from a droplet to an arbitrary polygon. We used this equation to fit the leaf profiles of 53 species (among which, 48 bamboo plants, 5 woody plants, and 10 geographical populations of a woody plant), totaling 3310 leaves. A third parameter (namely, the floating ratio c in leaf length) was introduced to account for the case when the theoretical leaf length deviates from the observed leaf length. For most datasets, the estimates of c were greater than zero but less than 10%, indicating that the leaf length predicted by the SGE was usually smaller than the actual length. However, the predicted leaf areas approximated their actual values after considering the floating ratios in leaf length. For most datasets, the mean percent errors of leaf areas were lower than 6%, except for a pooled dataset with 42 bamboo species. For the elliptical, lanceolate, linear, obovate, and ovate shapes, although the SGE did not fit the leaf edge perfectly, after adjusting the parameter c, there were small deviations of the predicted leaf areas from the actual values. This illustrates that leaves with different shapes might have similar functional features for photosynthesis, since the leaf areas can be described by the same equation. The anisotropy expressed as a difference in leaf shape for some plants might be an adaptive response to enable them to adapt to different habitats. |
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000451310300054 |
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2018-11-21 |
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1999-4907 |
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UA library record; WoS full record; WoS citing articles |
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Open Access ![sorted by Open Access field, ascending order (up)](img/sort_asc.gif) |
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no |
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Call Number |
UA @ admin @ c:irua:156324 |
Serial |
7389 |
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Author |
Gielis, J.; Tavkelidze, I.; Ricci, P.E. |
![find record details (via OpenURL) openurl](img/xref.gif)
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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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2011 |
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115-128
T2 - Proceedings of the International Conf |
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H3 Book chapter; Sustainable Energy, Air and Water Technology (DuEL) |
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978-9941-0-3727-6 |
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Open Access ![sorted by Open Access field, ascending order (up)](img/sort_asc.gif) |
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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 |
Gielis, J.; Tavkhelidze, I.; Ricci, P.E. |
![goto web page (via DOI) doi](http://nano.uantwerpen.be/nanorefs/img/doi.gif)
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Title |
About “bulky” links generated by generalized Möbius-Listing bodies GML2n |
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A2 Journal article |
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2013 |
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Journal of mathematical sciences |
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193 |
Issue |
3 |
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449-460 |
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A2 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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In this paper, we consider the bulky knots and bulky links, which appear after cutting of a Generalized MöbiusListing GMLn2 body (with the radial cross section a convex plane 2-symmetric figure with two vertices) along a different Generalized MöbiusListing surfaces GMLn2 situated in it. The aim of this report is to investigate the number and geometric structure of the independent objects that appear after such a cutting process of GMLn2 bodies. In most cases we are able to count the indices of the resulting mathematical objects according to the known classification for the standard knots and links. |
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2013-08-03 |
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1072-3374; 1573-8795 |
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Open Access ![sorted by Open Access field, ascending order (up)](img/sort_asc.gif) |
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no |
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Call Number |
UA @ admin @ c:irua:110953 |
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7404 |
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Tavkhelidze, I.; Cassisa, C.; Gielis, J.; Ricci, P.E. |
![goto web page (via DOI) doi](http://nano.uantwerpen.be/nanorefs/img/doi.gif)
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Title |
About “bulky” links, generated by generalized Möbius Listing's bodies GML3n |
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A1 Journal article |
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2013 |
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Matematica e applicazioni : atti della Accademia nazionale dei Lincei |
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24 |
Issue |
1 |
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11-38 |
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A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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In the present paper we consider the “bulky knots'' and ”bulky links'', which appear after cutting a Generalized Möbius Listing's GMLn3 body (whose radial cross section is a plane 3-symmetric figure with three vertices) along different Generalized Möbius Listing's surfaces GMLn2 situated in it. This article is aimed to investigate the number and geometric structure of the independent objects appearing after such a cutting process of GMLn3 bodies. In most cases we are able to count the indices of the resulting mathematical objects according to the known tabulation for Knots and Links of small complexity. |
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000316567700002 |
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2013-03-13 |
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1120-6357 |
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UA library record; WoS full record; WoS citing articles |
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no |
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Call Number |
UA @ admin @ c:irua:107174 |
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7405 |
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Author |
Tavkhelidze, I.; Gielis, J.; Pinelas, S. |
![find record details (via OpenURL) openurl](img/xref.gif)
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Title |
About some methods of analytic representation and classification of a wide set of geometric figures with “complex” configuration |
Type |
A3 Journal article |
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2020 |
Publication |
Sn – 1512-0066 |
Abbreviated Journal |
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34 |
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81-84 |
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A3 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Open Access ![sorted by Open Access field, ascending order (up)](img/sort_asc.gif) |
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Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:174475 |
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7406 |
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Author |
Tavkhelidze, I.; Gielis, J.; Pinelas, S. |
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Title |
About some methods of analytic representation and classification of a wide set of geometric figures with “complex” configuration |
Type |
H1 Book chapter |
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Year |
2020 |
Publication |
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Volume |
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Issue |
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Pages |
347-359
T2 - Differential and difference equations |
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H1 Book chapter; Sustainable Energy, Air and Water Technology (DuEL) |
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2020-10-21 |
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ISBN |
978-3-030-56322-6 |
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Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:174479 |
Serial |
7407 |
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Author |
Bia, P.; Caratelli, D.; Mescia, L.; Gielis, J. |
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Title |
Analysis and synthesis of supershaped dielectric lens antennas |
Type |
A1 Journal article |
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Year |
2015 |
Publication |
IET microwaves, antennas and propagation |
Abbreviated Journal |
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Volume |
9 |
Issue |
14 |
Pages |
1497-1504 |
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Keywords |
A1 Journal article; Engineering sciences. Technology; Mass communications; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
A novel class of supershaped dielectric lens antennas, whose geometry is described by the three-dimensional (3D) Gielis formula, is introduced and analysed. To this end, a hybrid modelling approach based on geometrical and physical optics is adopted in order to efficiently analyse the multiple wave reflections occurring within the lens and to evaluate the relevant impact on the radiation properties of the antenna under analysis. The developed modelling procedure has been validated by comparison with numerical results already reported in the literature and, afterwards, applied to the electromagnetic characterisation of Gielis dielectric lens antennas with shaped radiation pattern. Furthermore, a dedicated optimisation algorithm based on quantum particle swarm optimisation has been developed for the synthesis of 3D supershaped lens antennas with single feed, as well as with beamforming capabilities. |
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Wos |
000364491200002 |
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2015-08-14 |
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Edition |
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ISSN |
1751-8725 |
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UA library record; WoS full record; WoS citing articles |
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no |
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Call Number |
UA @ admin @ c:irua:128659 |
Serial |
7441 |
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Author |
de Jong van Coevorden, C.M.; Gielis, J.; Caratelli, D. |
![goto web page (via DOI) doi](http://nano.uantwerpen.be/nanorefs/img/doi.gif)
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Title |
Application of Gielis transformation to the design of metamaterial structures |
Type |
A1 Journal article |
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Year |
2018 |
Publication |
Journal of physics : conference series |
Abbreviated Journal |
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Volume |
963 |
Issue |
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Pages |
Unsp 012008 |
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Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
In this communication, the use of Gielis transformation to design more compact metamaterial unit cells is explored. For this purpose, transformed complementary split ring resonators and spiral resonators are coupled to micro-strip lines and theirbehaviour is investigated. The obtained results confirm that the useof the considered class of supershaped geometries enables the synthesis of very compact scalable microwave components. |
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000435022800008 |
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2018-02-20 |
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ISSN |
1742-6588; 1742-6596 |
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UA library record; WoS full record; WoS citing articles |
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no |
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Call Number |
UA @ admin @ c:irua:150947 |
Serial |
7475 |
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Author |
Gielis, J.; Caratelli, D.; Fougerolle, Y.; Ricci, P.E.; Gerats, T. |
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Title |
A biogeometrical model for corolla fusion in Asclepiad flowers |
Type |
H1 Book chapter |
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Year |
2017 |
Publication |
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Abbreviated Journal |
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Volume |
2 |
Issue |
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Pages |
83-105
T2 - Modeling in mathematics : proceedings |
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Keywords |
H1 Book chapter; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
The molecular genetics of flower development have been studied extensively for more than two decades. Fusion of organs and the tendency to oligomery, important characteristics of flower evolution, so far have remained fairly elusive. We present a geometric model for shape and fusion in the corolla of Asclepiads. Examples demonstrate how fusion of petals creates stable centers, a prerequisite for the formation of complex pollination structures via congenital and postgenital fusion events, with the formation of de novo organs, specific to Asclepiads. The development of the corolla reduces to simple inequalities from the MATHS-BOX. The formation of stable centers and of bell and tubular shapes in flowers are immediate and logical consequences of the shape. Our model shows that any study on flowers, especially in evo-devo perspective should be performed within the wider framework of polymery and oligomery and of fusion and synorganization. |
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Wos |
000442076400007 |
Publication Date |
2017-04-20 |
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Edition |
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ISBN |
978-94-6239-260-1; 978-94-6239-261-8; 2543-0300; 978-94-6239-260-1 |
Additional Links |
UA library record; WoS full record; WoS citing articles |
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Open Access ![sorted by Open Access field, ascending order (up)](img/sort_asc.gif) |
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Approved |
no |
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Call Number |
UA @ admin @ c:irua:144551 |
Serial |
7561 |
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Permanent link to this record |
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Author |
Gielis, J.; Caratelli, D.; Tavkelidze, I.; Fougerolle, Y.; Ricci, P.E.; Gerats, T. |
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Title |
Bulky knots and links generated by cutting generalized Mobius-Listing bodies and applications in the natural sciences |
Type |
H2 Book chapter |
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Year |
2013 |
Publication |
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Abbreviated Journal |
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Volume |
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Issue |
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Pages |
167-183
T2 - Math Art Summit : Koninklijke Vlaamse |
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Keywords |
H2 Book chapter; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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ISBN |
978-90-6569-119-4 |
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UA library record |
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no |
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Call Number |
UA @ admin @ c:irua:110955 |
Serial |
7569 |
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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 |
Type |
A3 Journal article |
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Year |
2011 |
Publication |
Bamboo Science & Culture |
Abbreviated Journal |
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Volume |
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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Edition |
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ISSN |
1535-7635 |
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UA library record |
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Open Access ![sorted by Open Access field, ascending order (up)](img/sort_asc.gif) |
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no |
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Call Number |
UA @ admin @ c:irua:91091 |
Serial |
7578 |
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Permanent link to this record |
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Author |
Gielis, J.; Caratelli, D.; de Jong van Coevorden, M.; Ricci, P.E. |
![find book details (via ISBN) isbn](img/isbn.gif)
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Title |
The common descent of biological shape description and special functions |
Type |
H1 Book chapter |
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Year |
2018 |
Publication |
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Abbreviated Journal |
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Volume |
230 |
Issue |
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Pages |
119-131
T2 - Differential and difference equations |
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Keywords |
H1 Book chapter; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Gielis transformations, with their origin in botany, are used to define square waves and trigonometric functions of higher order. They are rewritten in terms of Chebyshev polynomials. The origin of both, a uniform descriptor and the origin of orthogonal polynomials, can be traced back to a letter of Guido Grandi to Leibniz in 1713 on the mathematical description of the shape of flowers. In this way geometrical description and analytical tools are seamlessly combined. |
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Wos |
000451375900010 |
Publication Date |
2018-05-08 |
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Abbreviated Series Title |
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Edition |
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ISSN |
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ISBN |
978-3-319-75646-2; 2194-1009; 978-3-319-75647-9; 978-3-319-75646-2 |
Additional Links |
UA library record; WoS full record; WoS citing articles |
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Open Access ![sorted by Open Access field, ascending order (up)](img/sort_asc.gif) |
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Approved |
no |
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Call Number |
UA @ admin @ c:irua:150949 |
Serial |
7685 |
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Permanent link to this record |
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Author |
Shi, P.-J.; Xu, Q.; Sandhu, H.S.; Gielis, J.; Ding, Y.-L.; Li, H.-R.; Dong, X.-B. |
![goto web page (via DOI) doi](http://nano.uantwerpen.be/nanorefs/img/doi.gif)
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Title |
Comparison of dwarf bamboos (Indocalamus sp.) leaf parameters to determine relationship between spatial density of plants and total leaf area per plant |
Type |
A1 Journal article |
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Year |
2015 |
Publication |
Ecology and evolution |
Abbreviated Journal |
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Volume |
5 |
Issue |
20 |
Pages |
4578-4589 |
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Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
The relationship between spatial density and size of plants is an important topic in plant ecology. The self-thinning rule suggests a −3/2 power between average biomass and density or a −1/2 power between stand yield and density. However, the self-thinning rule based on total leaf area per plant and density of plants has been neglected presumably because of the lack of a method that can accurately estimate the total leaf area per plant. We aimed to find the relationship between spatial density of plants and total leaf area per plant. We also attempted to provide a novel model for accurately describing the leaf shape of bamboos. We proposed a simplified Gielis equation with only two parameters to describe the leaf shape of bamboos one model parameter represented the overall ratio of leaf width to leaf length. Using this method, we compared some leaf parameters (leaf shape, number of leaves per plant, ratio of total leaf weight to aboveground weight per plant, and total leaf area per plant) of four bamboo species of genus Indocalamus Nakai (I. pedalis (Keng) P.C. Keng, I. pumilus Q.H. Dai and C.F. Keng, I. barbatus McClure, and I. victorialis P.C. Keng). We also explored the possible correlation between spatial density and total leaf area per plant using log-linear regression. We found that the simplified Gielis equation fit the leaf shape of four bamboo species very well. Although all these four species belonged to the same genus, there were still significant differences in leaf shape. Significant differences also existed in leaf area per plant, ratio of leaf weight to aboveground weight per plant, and leaf length. In addition, we found that the total leaf area per plant decreased with increased spatial density. Therefore, we directly demonstrated the self-thinning rule to improve light interception. |
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Wos |
000363731500008 |
Publication Date |
2015-09-30 |
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Edition |
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ISSN |
2045-7758 |
ISBN |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Open Access ![sorted by Open Access field, ascending order (up)](img/sort_asc.gif) |
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Approved |
no |
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Call Number |
UA @ admin @ c:irua:128662 |
Serial |
7691 |
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Permanent link to this record |
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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 |
Type |
H3 Book chapter |
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Year |
2012 |
Publication |
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Abbreviated Journal |
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Volume |
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Issue |
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Pages |
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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UA library record |
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Open Access ![sorted by Open Access field, ascending order (up)](img/sort_asc.gif) |
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no |
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Call Number |
UA @ admin @ c:irua:97754 |
Serial |
7750 |
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Permanent link to this record |
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Author |
Mescia, L.; Chiapperino, M.A.; Bia, P.; Lamacchia, C.M.; Gielis, J.; Caratelli, D. |
![goto web page (via DOI) doi](http://nano.uantwerpen.be/nanorefs/img/doi.gif)
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Title |
Design of electroporation process in irregularly shaped multicellular systems |
Type |
A1 Journal article |
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Year |
2019 |
Publication |
Electronics (Basel) |
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Volume |
8 |
Issue |
1 |
Pages |
37 |
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Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Electroporation technique is widely used in biotechnology and medicine for the transport of various molecules through the membranes of biological cells. Different mathematical models of electroporation have been proposed in the literature to study pore formation in plasma and nuclear membranes. These studies are mainly based on models using a single isolated cell with a canonical shape. In this work, a spacetime (x,y,t) multiphysics model based on quasi-static Maxwells equations and nonlinear Smoluchowskis equation has been developed to investigate the electroporation phenomenon induced by pulsed electric field in multicellular systems having irregularly shape. The dielectric dispersion of the cell compartments such as nuclear and plasmatic membranes, cytoplasm, nucleoplasm and external medium have been incorporated into the numerical algorithm, too. Moreover, the irregular cell shapes have been modeled by using the Gielis transformations. |
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Wos |
000457142800037 |
Publication Date |
2019-01-03 |
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ISSN |
2079-9292 |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Open Access ![sorted by Open Access field, ascending order (up)](img/sort_asc.gif) |
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Approved |
no |
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Call Number |
UA @ admin @ c:irua:157203 |
Serial |
7765 |
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Permanent link to this record |
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Author |
Mescia, L.; Lamacchia, C.M.; Chiapperino, M.A.; Bia, P.; Gielis, J.; Caratelli, D. |
![goto web page (via DOI) doi](http://nano.uantwerpen.be/nanorefs/img/doi.gif)
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Title |
Design of irregularly shaped lens antennas including supershaped feed |
Type |
P1 Proceeding |
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Year |
2019 |
Publication |
Progress in Electromagnetic Research Symposium (PIERS)
T2 – 2019 PhotonIcs & Electromagnetics Research Symposium – Spring (PIERS-Spring), 17-20 June, 2019, Rome, Italy |
Abbreviated Journal |
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Volume |
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Issue |
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Pages |
169-173 |
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Keywords |
P1 Proceeding; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
A new class of irregularly shaped dielectric lens antennas with a supershaped microstrip antenna feeder is presented and detailed in this work. The surface of the lens antenna and the feeder shape have been modelled by using the three and two-dimensional Gielis formula, respectively. The antenna design has been carried out by integrating an home-made software tool with the CST Microwave Studio®. The radiation properties of the whole antenna system have been evaluated using a dedicated high-frequency technique based on the tube tracing approximation. Moreover, the effects due to the multiple internal reflections have been properly modeled. The proposed model was applied to study unusual and complex lens antenna systems with the aim to design special radiation characteristics. |
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Wos |
000550769300021 |
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2020-03-03 |
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978-1-72813-403-1; 978-1-72813-404-8; 978-1-72813-403-1 |
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Additional Links |
UA library record; WoS full record |
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Open Access ![sorted by Open Access field, ascending order (up)](img/sort_asc.gif) |
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Approved |
no |
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Call Number |
UA @ admin @ c:irua:169169 |
Serial |
7766 |
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Author |
De Tommasi, E.; Gielis, J.; Rogato, A. |
![goto web page url](http://nano.uantwerpen.be/nanorefs/img/www.gif)
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Title |
Diatom frustule morphogenesis and function : a multidisciplinary survey |
Type |
A1 Journal article |
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Year |
2017 |
Publication |
Marine Genomics |
Abbreviated Journal |
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Volume |
35 |
Issue |
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Pages |
1-18 |
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Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Diatoms represent the major component of phytoplankton and are responsible for about 2025% of global primary production. Hundreds of millions of years of evolution led to tens of thousands of species differing in dimensions and morphologies. In particular, diatom porous silica cell walls, the frustules, are characterized by an extraordinary, species-specific diversity. It is of great interest, among the marine biologists and geneticists community, to shed light on the origin and evolutionary advantage of this variability of dimensions, geometries and pore distributions. In the present article the main reported data related to frustule morphogenesis and functionalities with contributions from fundamental biology, genetics, mathematics, geometry and physics are reviewed. |
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Wos |
000412957700001 |
Publication Date |
2017-07-20 |
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Series Issue |
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Edition |
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ISSN |
1874-7787 |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Open Access ![sorted by Open Access field, ascending order (up)](img/sort_asc.gif) |
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Notes |
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Approved |
no |
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Call Number |
UA @ admin @ c:irua:144546 |
Serial |
7807 |
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Permanent link to this record |
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Author |
Caratelli, D.; Gielis, J.; Tavkhelidze, I.; Ricci, P.E. |
![goto web page (via DOI) doi](http://nano.uantwerpen.be/nanorefs/img/doi.gif)
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Title |
The Dirichlet problem for the Laplace equation in supershaped annuli |
Type |
A1 Journal article |
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Year |
2013 |
Publication |
Boundary value problems |
Abbreviated Journal |
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Volume |
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Issue |
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Pages |
113-10 |
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Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
The Dirichlet problem for the Laplace equation in normal-polar annuli is addressed by using a suitable Fourier-like technique. Attention is in particular focused on the wide class of domains whose boundaries are defined by the so-called superformula introduced by Gielis. A dedicated numerical procedure based on the computer algebra system Mathematica© is developed in order to validate the proposed methodology. In this way, highly accurate approximations of the solution, featuring properties similar to the classical ones, are obtained. |
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Wos |
000325760900002&DestLinkType=CitingArticles&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7 |
Publication Date |
2013-05-03 |
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Series Editor |
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Series Title |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
1687-2762; 1687-2770 |
ISBN |
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Additional Links |
UA library record; WoS citing articles; WoS full record |
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Open Access ![sorted by Open Access field, ascending order (up)](img/sort_asc.gif) |
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Approved |
no |
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Call Number |
UA @ admin @ c:irua:108644 |
Serial |
7812 |
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Permanent link to this record |
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Author |
Bia, P.; Caratelli, D.; Mescia, L.; Gielis, J. |
![find record details (via OpenURL) openurl](img/xref.gif)
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Title |
Electromagnetic characterization of supershaped lens antennas for high-frequency applications |
Type |
H1 Book chapter |
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Year |
2013 |
Publication |
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Abbreviated Journal |
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Volume |
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Issue |
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Pages |
1679-1682
T2 - Proceedings of the 43rd European Mi |
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Keywords |
H1 Book chapter; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Wos |
000330768700424 |
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Series Editor |
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Series Title |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
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ISBN |
978-2-87487-031-6 |
Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
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Times cited |
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Open Access ![sorted by Open Access field, ascending order (up)](img/sort_asc.gif) |
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Notes |
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Approved |
no |
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Call Number |
UA @ admin @ c:irua:110954 |
Serial |
7865 |
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Permanent link to this record |
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Author |
Mescia, L.; Bia, P.; Caratelli, D.; Chiapperino, M.A.; Stukach, O.; Gielis, J. |
![goto web page (via DOI) doi](http://nano.uantwerpen.be/nanorefs/img/doi.gif)
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Title |
Electromagnetic mathematical modeling of 3D supershaped dielectric lens antennas |
Type |
A1 Journal article |
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Year |
2016 |
Publication |
Mathematical problems in engineering: theory, methods, and applications |
Abbreviated Journal |
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Volume |
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Issue |
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Pages |
8130160-10 |
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Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
The electromagnetic analysis of a special class of 3D dielectric lens antennas is described in detail. This new class of lens antennas has a geometrical shape defined by the three-dimensional extension of Gielis formula. The analytical description of the lens shape allows the development of a dedicated semianalytical hybrid modeling approach based on geometrical tube tracing and physical optic. In order to increase the accuracy of the model, the multiple reflections occurring within the lens are also taken into account. |
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Wos |
000372246600001 |
Publication Date |
2016-02-29 |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
1024-123x; 1563-5147 |
ISBN |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
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Times cited |
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Open Access ![sorted by Open Access field, ascending order (up)](img/sort_asc.gif) |
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Notes |
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Approved |
no |
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Call Number |
UA @ admin @ c:irua:131516 |
Serial |
7866 |
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Permanent link to this record |
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Author |
Martínez-Dueñas, E.J.R.; de Jong van Coevorden, C.M.; Stukach, O.V.; Panokin, N.V.; Gielis, J.; Caratelli, D. |
![goto web page (via DOI) doi](http://nano.uantwerpen.be/nanorefs/img/doi.gif)
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Title |
Electromagnetic modeling and design of a novel class of complementary split‐ring resonators |
Type |
A1 Journal article |
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Year |
2019 |
Publication |
International journal of RF and microwave computer-aided engineering |
Abbreviated Journal |
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Volume |
29 |
Issue |
4 |
Pages |
e21582 |
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Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
This research study reports the assessment of complementary split ring resonators based on Gielis transformation as basic elements for the design of high‐performance microwave components in printed technology. From the electromagnetic simulation of said structures, suitable equivalent circuit models are extracted and analyzed. Physical prototypes are fabricated and tested for design validation. The obtained results confirm that the adoption of supershaped geometries enables the synthesis of very compact scalable microwave filters. |
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Wos |
000460308500020 |
Publication Date |
2018-11-19 |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
1096-4290 |
ISBN |
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Additional Links |
UA library record; WoS full record |
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Impact Factor |
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Times cited |
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Open Access ![sorted by Open Access field, ascending order (up)](img/sort_asc.gif) |
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Notes |
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Approved |
no |
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Call Number |
UA @ admin @ c:irua:155021 |
Serial |
7867 |
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Permanent link to this record |
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Author |
Gielis, J. |
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Title |
Er bestaan geen absurde, irrationele, onregelmatige of onderling niet-onmeetbare meetkundige getallen |
Type |
A2 Journal article |
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Year |
2021 |
Publication |
Wiskunde en onderwijs |
Abbreviated Journal |
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Volume |
47 |
Issue |
188 |
Pages |
23-33 |
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Keywords |
A2 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
2032-0485 |
ISBN |
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Additional Links |
UA library record |
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Impact Factor |
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Times cited |
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Open Access ![sorted by Open Access field, ascending order (up)](img/sort_asc.gif) |
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Notes |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:183083 |
Serial |
7934 |
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Permanent link to this record |
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Author |
Caratelli, D.; Gielis, J.; Tavkhelidze, I.; Ricci, P.E. |
![goto web page (via DOI) doi](http://nano.uantwerpen.be/nanorefs/img/doi.gif)
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Title |
Fourier-Hankel solution of the Robin problem for the Helmholtz equation in supershaped annular domains |
Type |
A1 Journal article |
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Year |
2013 |
Publication |
Boundary value problems |
Abbreviated Journal |
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Volume |
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Issue |
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Pages |
253 |
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Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
The Robin problem for the Helmholtz equation in normal-polar annuli is addressed by using a suitable Fourier-Hankel series technique. Attention is in particular focused on the wide class of domains whose boundaries are defined by the so-called superformula introduced by Gielis. A dedicated numerical procedure based on the computer algebra system Mathematica© is developed in order to validate the proposed methodology. In this way, highly accurate approximations of the solution, featuring properties similar to the classical ones, are obtained. |
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Address |
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Corporate Author |
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Thesis |
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Publisher |
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Place of Publication |
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Editor |
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Language |
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Wos |
000340237600004 |
Publication Date |
2013-11-22 |
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Series Editor |
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Series Title |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
1687-2762; 1687-2770 |
ISBN |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
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Times cited |
|
Open Access ![sorted by Open Access field, ascending order (up)](img/sort_asc.gif) |
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Notes |
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Approved |
no |
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Call Number |
UA @ admin @ c:irua:111558 |
Serial |
7981 |
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Permanent link to this record |