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Records |
Links |
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Author |
Gielis, J.; Natalini, P.; Ricci, P.E. |
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Title |
A note about generalized forms of the Gielis formula |
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 |
107-116
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 |
We generalize the Gielis Superformula by extending the R. Chacon approach, but avoiding the use of Jacobi elliptic functions. The obtained results are extended to the three-dimensional case. Several new shapes are derived by using the computer algebra system Mathematica(C). |
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Wos |
000442076400008 |
Publication Date |
2017-04-20 |
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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 |
978-94-6239-260-1; 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 |
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Notes |
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Approved |
no |
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Call Number |
UA @ admin @ c:irua:144550 |
Serial |
8318 |
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Permanent link to this record |
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Author |
Tavkhelidze, I.; Caratelli, D.; Gielis, J.; Ricci, P.E.; Rogava, M.; Transirico, M. |
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Title |
On a geometric model of bodies with “complex” configuration and some movements |
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 |
129-158
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 |
Aim of this chapter is analytical representation of one wide class of geometric figures (lines, surfaces and bodies) and their complicated displacements. The accurate estimation of physical characteristics (such as volume, surface area, length, or other specific parameters) relevant to human organs is of fundamental importance in medicine. One central idea of this article is, in this respect, to provide a general methodology for the evaluation, as a function of time, of the volume and center of gravity featured by moving of one class of bodies used of describe different human organs. |
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Wos |
000442076400010 |
Publication Date |
2017-04-20 |
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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 |
978-94-6239-260-1; 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 |
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Notes |
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Approved |
no |
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Call Number |
UA @ admin @ c:irua:144552 |
Serial |
8326 |
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Permanent link to this record |
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Author |
Niklas, K.J.; Shi, P.; Gielis, J.; Schrader, J.; Niinemets, U. |
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Title |
Editorial: leaf functional traits : ecological and evolutionary implications |
Type |
Editorial |
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Year |
2023 |
Publication |
Frontiers in plant science |
Abbreviated Journal |
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Volume |
14 |
Issue |
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Pages |
1169558-5 |
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Keywords |
Editorial; Sustainable Energy, Air and Water Technology (DuEL) |
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Wos |
000964122500001 |
Publication Date |
2023-03-21 |
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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 |
1664-462x |
ISBN |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
5.6 |
Times cited |
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Open Access |
OpenAccess |
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Notes |
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Approved |
Most recent IF: 5.6; 2023 IF: 4.298 |
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Call Number |
UA @ admin @ c:irua:196076 |
Serial |
7834 |
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Permanent link to this record |
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Author |
Gao, J.; Huang, W.; Gielis, J.; Shi, P. |
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Title |
Plant morphology and function, geometric morphometrics, and modelling : decoding the mathematical secrets of plants |
Type |
Editorial |
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Year |
2023 |
Publication |
Plants |
Abbreviated Journal |
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Volume |
12 |
Issue |
21 |
Pages |
3724-2 |
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Keywords |
Editorial; Sustainable Energy, Air and Water Technology (DuEL) |
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Wos |
001103336500001 |
Publication Date |
2023-10-30 |
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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 |
2223-7747 |
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 |
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Notes |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:201173 |
Serial |
9072 |
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Permanent link to this record |
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Author |
Shi, P.; Gielis, J.; Niklas, K.J. |
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Title |
Comparison of a universal (but complex) model for avian egg shape with a simpler model |
Type |
Editorial |
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Year |
2022 |
Publication |
Annals of the New York Academy of Sciences |
Abbreviated Journal |
Ann Ny Acad Sci |
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Volume |
1514 |
Issue |
1 |
Pages |
34-42 |
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Keywords |
Editorial; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Recently, a universal equation by Narushin, Romanov, and Griffin (hereafter, the NRGE) was proposed to describe the shape of avian eggs. While NRGE can simulate the shape of spherical, ellipsoidal, ovoidal, and pyriform eggs, its predictions were not tested against actual data. Here, we tested the validity of the NRGE by fitting actual data of egg shapes and compared this with the predictions of our simpler model for egg shape (hereafter, the SGE). The eggs of nine bird species were sampled for this purpose. NRGE was found to fit the empirical data of egg shape well, but it did not define the egg length axis (i.e., the rotational symmetric axis), which significantly affected the prediction accuracy. The egg length axis under the NRGE is defined as the maximum distance between two points on the scanned perimeter of the egg's shape. In contrast, the SGE fitted the empirical data better, and had a smaller root-mean-square error than the NRGE for each of the nine eggs. Based on its mathematical simplicity and goodness-of-fit, the SGE appears to be a reliable and useful model for describing egg shape. |
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Wos |
000803394100001 |
Publication Date |
2022-06-01 |
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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 |
0077-8923; 1749-6632 |
ISBN |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
5.2 |
Times cited |
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Open Access |
OpenAccess |
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Notes |
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Approved |
Most recent IF: 5.2 |
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Call Number |
UA @ admin @ c:irua:188470 |
Serial |
7139 |
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Permanent link to this record |
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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 |
Issue |
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Pages |
1-4 |
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Keywords |
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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Additional Links |
UA library record |
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Impact Factor |
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Times cited |
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Open Access |
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Notes |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:189316 |
Serial |
7178 |
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Permanent link to this record |
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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 |
A3 Journal article |
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Year |
2020 |
Publication |
Sn – 1512-0066 |
Abbreviated Journal |
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Volume |
34 |
Issue |
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Pages |
81-84 |
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Keywords |
A3 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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UA library record |
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Open Access |
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Notes |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:174475 |
Serial |
7406 |
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Permanent link to this record |
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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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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 |
1535-7635 |
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 |
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Notes |
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Approved |
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.; Tavkhelidze, I. |
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Title |
The Mӧbius phenomenon in Generalized Mӧbius-Listing bodies with cross sections of odd and even polygons |
Type |
A3 Journal article |
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Year |
2020 |
Publication |
Sn – 1512-0066 |
Abbreviated Journal |
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Volume |
34 |
Issue |
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Pages |
23-26 |
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Keywords |
A3 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Additional Links |
UA library record |
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Times cited |
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Open Access |
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Notes |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:174474 |
Serial |
8257 |
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Permanent link to this record |
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Author |
Tavkhelidze, I.; Gielis, J. |
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Title |
The process of cutting GMLmn bodies with dm-knives |
Type |
A3 Journal article |
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Year |
2018 |
Publication |
Sn – 1512-0066 |
Abbreviated Journal |
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Volume |
32 |
Issue |
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Pages |
67-70 |
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Keywords |
A3 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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UA library record |
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Open Access |
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Approved |
no |
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Call Number |
UA @ admin @ c:irua:159971 |
Serial |
8417 |
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Permanent link to this record |
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Author |
Gielis, J.; Tavkhelidze, I.; Ricci, P.E. |
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Title |
Generalized Möbius-Listing bodies and the heart |
Type |
A3 Journal article |
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Year |
2023 |
Publication |
Sn – 2247-689x |
Abbreviated Journal |
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Volume |
13 |
Issue |
2 |
Pages |
58-70 |
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Keywords |
A3 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Generalized Möbius-Listing surfaces and bodies generalize Möbius bands, and this research was motivated originally by solutions of boundary value problems. Analogous to cutting of the original Möbius band, for this class of surfaces and bodies, results have been obtained when cutting such bodies or surfaces. The results can be applied in a wide range of fields in the natural science, and here we propose how they can serve as a model for the heart and the circulatory system. |
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Wos |
http://rjm-cs.ro/2023v13i2_7.pdf#page=1 |
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Additional Links |
UA library record; http://rjm-cs.ro/2023v13i2_7.pdf#page=1 |
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Open Access |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:200773 |
Serial |
9043 |
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Permanent link to this record |
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Author |
Tavkhelidze, I.; Gielis, J. |
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Title |
Structure of the dm knives and process of cutting of GML(man) or GRT(man) bodies |
Type |
A3 Journal article |
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Year |
2019 |
Publication |
Sn – 1512-0066 |
Abbreviated Journal |
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Volume |
33 |
Issue |
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Pages |
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Keywords |
A3 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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UA library record |
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Open Access |
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Notes |
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Approved |
no |
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Call Number |
UA @ admin @ c:irua:164897 |
Serial |
8588 |
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Permanent link to this record |
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Author |
Gielis, J.; Tavkhelidze, I.; Ricci, P.E. |
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Title |
About “bulky” links generated by generalized Möbius-Listing bodies GML2n |
Type |
A2 Journal article |
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Year |
2013 |
Publication |
Journal of mathematical sciences |
Abbreviated Journal |
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Volume |
193 |
Issue |
3 |
Pages |
449-460 |
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Keywords |
A2 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
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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Publication Date |
2013-08-03 |
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Edition |
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ISSN |
1072-3374; 1573-8795 |
ISBN |
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Additional Links |
UA library record |
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Open Access |
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Approved |
no |
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Call Number |
UA @ admin @ c:irua:110953 |
Serial |
7404 |
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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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Edition |
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ISSN |
2032-0485 |
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Additional Links |
UA library record |
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Times cited |
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Open Access |
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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 |
Vermander, C.; De Wael, J.; Gielis, J. |
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Title |
De kleine boerderij : twee bijzondere tuinkamers |
Type |
A2 Journal article |
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Year |
2019 |
Publication |
Groencontact |
Abbreviated Journal |
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Volume |
45 |
Issue |
5 |
Pages |
14-19 |
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Keywords |
A2 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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|
|
ISSN |
1374-4631 |
ISBN |
|
Additional Links |
UA library record |
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Impact Factor |
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Times cited |
|
Open Access |
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Notes |
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Approved |
no |
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|
Call Number |
UA @ admin @ c:irua:164895 |
Serial |
8142 |
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Permanent link to this record |
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Author |
Caratelli, D.; Gielis, J.; Ricci, P.E.; Tavkhelidze, I. |
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Title |
Some properties of “bulky” links, generated by Generalized Möbius Listing's bodies GML4n |
Type |
A2 Journal article |
|
Year |
2016 |
Publication |
Journal of mathematical sciences |
Abbreviated Journal |
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|
|
Volume |
216 |
Issue |
4 |
Pages |
509-518 |
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Keywords |
A2 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
In the present paper, we consider the bulky knots and bulky links that appear after cutting of generalized MöbiusListing GML 4 n bodies (with corresponding radial cross sections square) along different generalized MöbiusListing surfaces GML 2 n situated in it. The aim of this article is to examine the number and geometric structure of independent objects that appear after such a cutting process of GML 4 n 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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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 |
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Publication Date |
2016-06-10 |
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Series Editor |
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Series Title |
|
Abbreviated Series Title |
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Series Volume |
|
Series Issue |
|
Edition |
|
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|
ISSN |
1072-3374; 1573-8795 |
ISBN |
|
Additional Links |
UA library record |
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Impact Factor |
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Times cited |
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Open Access |
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Notes |
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Approved |
no |
|
|
Call Number |
UA @ admin @ c:irua:133948 |
Serial |
8554 |
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Permanent link to this record |
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Author |
Gielis, J.; Caratelli, D.; Shi, P.; Ricci, P.E. |
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Title |
A note on spirals and curvature |
Type |
A1 Journal article |
|
Year |
2020 |
Publication |
Growth and form |
Abbreviated Journal |
|
|
|
Volume |
1 |
Issue |
1 |
Pages |
1-8 |
|
|
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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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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Wos |
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Publication Date |
2020-02-23 |
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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 |
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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 |
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Notes |
|
Approved |
Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:167061 |
Serial |
6569 |
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Permanent link to this record |
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Author |
Dattoli, G.; Di Palma, E.; Gielis, J.; Licciardi, S. |
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Title |
Parabolic trigonometry |
Type |
A1 Journal article |
|
Year |
2020 |
Publication |
International journal of applied and computational mathematics |
Abbreviated Journal |
|
|
|
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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Abstract |
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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 |
|
Publication Date |
2020-03-04 |
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Series Editor |
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Series Title |
|
Abbreviated Series Title |
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Series Volume |
|
Series Issue |
|
Edition |
|
|
|
ISSN |
2349-5103 |
ISBN |
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Additional Links |
UA library record |
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Impact Factor |
|
Times cited |
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Open Access |
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Notes |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:167049 |
Serial |
6578 |
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Permanent link to this record |
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Author |
Li, Y.; Niklas, K.J.; Gielis, J.; Niinemets, Ü.; Schrader, J.; Wang, R.; Shi, P. |
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Title |
An elliptical blade is not a true ellipse, but a superellipse : evidence from two Michelia species |
Type |
A1 Journal article |
|
Year |
2022 |
Publication |
Journal of forestry research |
Abbreviated Journal |
J Forestry Res |
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Volume |
33 |
Issue |
4 |
Pages |
1341-1348 |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
The shape of leaf laminae exhibits considerable diversity and complexity that reflects adaptations to environmental factors such as ambient light and precipitation as well as phyletic legacy. Many leaves appear to be elliptical which may represent a ‘default’ developmental condition. However, whether their geometry truly conforms to the ellipse equation (EE), i.e., (x/a)2 + (y/b)2 = 1, remains conjectural. One alternative is described by the superellipse equation (SE), a generalized version of EE, i.e., |x/a|n +|y/b|n = 1. To test the efficacy of EE versus SE to describe leaf geometry, the leaf shapes of two Michelia species (i.e., M. cavaleriei var. platypetala, and M. maudiae), were investigated using 60 leaves from each species. Analysis shows that the majority of leaves (118 out of 120) had adjusted root-mean-square errors of < 0.05 for the nonlinear fitting of SE to leaf geometry, i.e., the mean absolute deviation from the polar point to leaf marginal points was smaller than 5% of the radius of a hypothesized circle with its area equaling leaf area. The estimates of n for the two species were ˂ 2, indicating that all sampled leaves conformed to SE and not to EE. This study confirms the existence of SE in leaves, linking this to its potential functional advantages, particularly the possible influence of leaf shape on hydraulic conductance. |
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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 |
000695118600001 |
Publication Date |
2021-09-12 |
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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 |
|
Edition |
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|
ISSN |
1007-662x; 1993-0607 |
ISBN |
|
Additional Links |
UA library record; WoS full record; WoS citing articles |
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|
Impact Factor |
3 |
Times cited |
|
Open Access |
OpenAccess |
|
|
Notes |
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Approved |
Most recent IF: 3 |
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Call Number |
UA @ admin @ c:irua:180967 |
Serial |
7152 |
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Permanent link to this record |
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Author |
Li, Y.; Quinn, B.K.; Niinemets, Ü.; Schrader, J.; Gielis, J.; Liu, M.; Shi, P. |
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Title |
Ellipticalness index : a simple measure of the complexity of oval leaf shape |
Type |
A1 Journal article |
|
Year |
2022 |
Publication |
Pakistan journal of botany : An official publication of pakistan botanical society |
Abbreviated Journal |
Pak J Bot |
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|
Volume |
54 |
Issue |
6 |
Pages |
1-8 |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Plants have diverse leaf shapes that have evolved to adapt to the environments they have experienced over their evolutionary history. Leaf shape and leaf size can greatly influence the growth rate, competitive ability, and productivity of plants. However, researchers have long struggled to decide how to properly quantify the complexity of leaf shape. Prior studies recommended the leaf roundness index (RI = 4πA/P2) or dissection index (DI = ), where P is leaf perimeter and A is leaf area. However, these two indices merely measure the extent of the deviation of leaf shape from a circle, which is usually invalid as leaves are seldom circular. In this study, we proposed a simple measure, named the ellipticalness index (EI), for quantifying the complexity of leaf shape based on the hypothesis that the shape of any oval leaf can be regarded as a variation from a standard ellipse. 2220 leaves from nine species of Magnoliaceae were sampled to check the validity of the EI. We also tested the validity of the Montgomery equation (ME), which assumes a proportional relationship between leaf area and the product of leaf length and width, because the EI actually comes from the proportionality coefficient of the ME. We also compared the ME with five other models of leaf area. The ME was found to be the best model for calculating leaf area based on consideration of the trade-off between model fit vs. complexity, which strongly supported the robustness of the EI for describing oval leaf shape. The new index can account for both leaf shape and size, and we conclude that it is a promising method for quantifying and comparing oval leaf shapes across species in future studies. |
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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 |
000814279700028 |
Publication Date |
2022-05-23 |
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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 |
|
Series Issue |
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Edition |
|
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|
ISSN |
0556-3321 |
ISBN |
|
Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
1.2 |
Times cited |
|
Open Access |
OpenAccess |
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Notes |
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Approved |
Most recent IF: 1.2 |
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Call Number |
UA @ admin @ c:irua:188469 |
Serial |
7153 |
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Permanent link to this record |
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Author |
Gielis, J.; Shi, P.; Caratelli, D. |
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Title |
Universal equations : a fresh perspective |
Type |
A1 Journal article |
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Year |
2022 |
Publication |
Growth and Form |
Abbreviated Journal |
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Volume |
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Issue |
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Pages |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
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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Thesis |
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Place of Publication |
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Wos |
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Publication Date |
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Series Editor |
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Abbreviated Series Title |
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Series Issue |
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Edition |
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ISSN |
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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 |
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Notes |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:189317 |
Serial |
7224 |
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Permanent link to this record |
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Author |
Yao, W.; Niinemets, Ü.; Yao, W.; Gielis, J.; Schrader, J.; Yu, K.; Shi, P. |
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Title |
Comparison of two simplified versions of the Gielis equation for describing the shape of bamboo leaves |
Type |
A1 Journal article |
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Year |
2022 |
Publication |
Plants |
Abbreviated Journal |
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Volume |
11 |
Issue |
22 |
Pages |
3058-11 |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Bamboo is an important component in subtropical and tropical forest communities. The plant has characteristic long lanceolate leaves with parallel venation. Prior studies have shown that the leaf shapes of this plant group can be well described by a simplified version (referred to as SGE-1) of the Gielis equation, a polar coordinate equation extended from the superellipse equation. SGE-1 with only two model parameters is less complex than the original Gielis equation with six parameters. Previous studies have seldom tested whether other simplified versions of the Gielis equation are superior to SGE-1 in fitting empirical leaf shape data. In the present study, we compared a three-parameter Gielis equation (referred to as SGE-2) with the two-parameter SGE-1 using the leaf boundary coordinate data of six bamboo species within the same genus that have representative long lanceolate leaves, with >300 leaves for each species. We sampled 2000 data points at approximately equidistant locations on the boundary of each leaf, and estimated the parameters for the two models. The root–mean–square error (RMSE) between the observed and predicted radii from the polar point to data points on the boundary of each leaf was used as a measure of the model goodness of fit, and the mean percent error between the RMSEs from fitting SGE-1 and SGE-2 was used to examine whether the introduction of an additional parameter in SGE-1 remarkably improves the model’s fitting. We found that the RMSE value of SGE-2 was always smaller than that of SGE-1. The mean percent errors among the two models ranged from 7.5% to 20% across the six species. These results indicate that SGE-2 is superior to SGE-1 and should be used in fitting leaf shapes. We argue that the results of the current study can be potentially extended to other lanceolate leaf shapes. |
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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 |
000887783400001 |
Publication Date |
2022-11-14 |
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Series Editor |
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Series Title |
|
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 |
2223-7747 |
ISBN |
|
Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
|
Times cited |
|
Open Access |
OpenAccess |
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Notes |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:191859 |
Serial |
7289 |
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Permanent link to this record |
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Author |
Shi, P.; Ratkowsky, D.A.; Li, Y.; Zhang, L.; Lin, S.; Gielis, J. |
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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) |
Abbreviated Journal |
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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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Abstract |
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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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 |
000451310300054 |
Publication Date |
2018-11-21 |
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Series Editor |
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Series Title |
|
Abbreviated Series Title |
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Series Volume |
|
Series Issue |
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Edition |
|
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ISSN |
1999-4907 |
ISBN |
|
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 |
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Notes |
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Approved |
no |
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Call Number |
UA @ admin @ c:irua:156324 |
Serial |
7389 |
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Permanent link to this record |
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Author |
Shi, P.; Yu, K.; Niinemets, Ü.; Gielis, J. |
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Title |
Can leaf shape be represented by the ratio of leaf width to length? Evidence from nine species of Magnolia and Michelia (Magnoliaceae) |
Type |
A1 Journal article |
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Year |
2021 |
Publication |
Forests |
Abbreviated Journal |
Forests |
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Volume |
12 |
Issue |
1 |
Pages |
41 |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Leaf shape is closely related to economics of leaf support and leaf functions, including light interception, water use, and CO2 uptake, so correct quantification of leaf shape is helpful for studies of leaf structure/function relationships. There are some extant indices for quantifying leaf shape, including the leaf width/length ratio (W/L), leaf shape fractal dimension (FD), leaf dissection index, leaf roundness index, standardized bilateral symmetrical index, etc. W/L ratio is the simplest to calculate, and recent studies have shown the importance of the W/L ratio in explaining the scaling exponent of leaf dry mass vs. leaf surface area and that of leaf surface area vs. leaf length. Nevertheless, whether the W/L ratio could reflect sufficient geometrical information of leaf shape has been not tested. The FD might be the most accurate measure for the complexity of leaf shape because it can characterize the extent of the self-similarity and other planar geometrical features of leaf shape. However, it is unknown how strongly different indices of leaf shape complexity correlate with each other, especially whether W/L ratio and FD are highly correlated. In this study, the leaves of nine Magnoliaceae species (>140 leaves for each species) were chosen for the study. We calculated the FD value for each leaf using the box-counting approach, and measured leaf fresh mass, surface area, perimeter, length, and width. We found that FD is significantly correlated to the W/L ratio and leaf length. However, the correlation between FD and the W/L ratio was far stronger than that between FD and leaf length for each of the nine species. There were no strong correlations between FD and other leaf characteristics, including leaf area, ratio of leaf perimeter to area, fresh mass, ratio of leaf fresh mass to area, and leaf roundness index. Given the strong correlation between FD and W/L, we suggest that the simpler index, W/L ratio, can provide sufficient information of leaf shape for similarly-shaped leaves. Future studies are needed to characterize the relationships among FD and W/L in leaves with strongly varying shape, e.g., in highly dissected leaves. |
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Corporate Author |
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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 |
000611074700001 |
Publication Date |
2020-12-31 |
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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 |
1999-4907 |
ISBN |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
1.951 |
Times cited |
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Open Access |
OpenAccess |
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Notes |
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Approved |
Most recent IF: 1.951 |
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Call Number |
UA @ admin @ c:irua:174473 |
Serial |
7572 |
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Permanent link to this record |
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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 |
Type |
A1 Journal article |
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Year |
2011 |
Publication |
Journal of pure and applied mathematics : advances and applications |
Abbreviated Journal |
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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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Abstract |
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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Wos |
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Abbreviated Series Title |
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Series Issue |
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Edition |
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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 |
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Notes |
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Approved |
no |
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Call Number |
UA @ admin @ c:irua:91090 |
Serial |
7982 |
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Permanent link to this record |
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Author |
Chapman, D.; Gielis, J. |
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Title |
Gielis transformations for the audiovisual geometry database |
Type |
A1 Journal article |
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Year |
2021 |
Publication |
Symmetry : culture and science |
Abbreviated Journal |
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Volume |
32 |
Issue |
2 |
Pages |
177-180 |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
This publication introduces the audiovisual geometry database with Gielis transformations as initial records for a prototype of the database. A concise overview is given of the rationale behind the database and studying wave phenomena with Gielis transformations. First results on a form of timbral polyphony observed in Gielis curves and future work are briefly discussed. |
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Place of Publication |
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Wos |
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Publication Date |
2021-07-02 |
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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 |
0865-4824 |
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 |
Not_Open_Access |
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Notes |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:180965 |
Serial |
8004 |
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Permanent link to this record |
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Author |
Shi, P.; Liu, M.; Ratkowsky, D.A.; Gielis, J.; Su, J.; Yu, X.; Wang, P.; Zhang, L.; Lin, Z.; Schrader, J. |
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Title |
Leaf area-length allometry and its implications in leaf shape evolution |
Type |
A1 Journal article |
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Year |
2019 |
Publication |
Trees: structure and function |
Abbreviated Journal |
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Volume |
33 |
Issue |
4 |
Pages |
1073-1085 |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
According to Thompson’s principle of similarity, the area of an object should be proportional to its length squared. However, leaf area–length data of some plants have been demonstrated not to follow the principle of similarity. We explore the reasons why the leaf area–length allometry deviates from the principle of similarity and examine whether there is a general model describing the relationship among leaf area, width and length. We sampled more than 11,800 leaves from six classes of woody and herbaceous plants and tested the leaf area–length allometry. We compared six mathematical models based on root-mean-square error as the measure of goodness-of-fit. The best supported model described a proportional relationship between leaf area and the product of leaf width and length (i.e., the Montgomery model). We found that the extent to which the leaf area–length allometry deviates from the principle of similarity depends upon the extent of variation of the ratio of leaf width to length. Estimates of the parameter of the Montgomery model ranged between 1/2, which corresponds to a triangular leaf with leaf length as its height and leaf width as its base, and π/4, which corresponds to an elliptical leaf with leaf length as its major axis and leaf width as its minor axis, for the six classes of plants. The narrow range in practice of the Montgomery parameter implies an evolutionary stability for the leaf area of large-leaved plants despite the fact that leaf shapes of these plants are rather different. |
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Wos |
000475992600010 |
Publication Date |
2019-04-04 |
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Edition |
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ISSN |
0931-1890; 1432-2285 |
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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:159970 |
Serial |
8170 |
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Author |
Gielis, J.; Ricci, P.E.; Tavkhelidze, I. |
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Title |
The Möbius phenomenon in Generalized Möbius-Listing surfaces and bodies, and Arnold's Cat phenomenon |
Type |
A1 Journal article |
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Year |
2021 |
Publication |
Advanced Studies : Euro-Tbilisi Mathematical Journal |
Abbreviated Journal |
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Volume |
14 |
Issue |
4 |
Pages |
17-35 |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Möbius bands have been studied extensively, mainly in topology. Generalized Möbius-Listing surfaces and bodies providing a full geometrical generalization, is a quite new field, motivated originally by solutions of boundary value problems. Analogous to cutting of the original Möbius band, for this class of surfaces and bodies, results have been obtained when cutting such bodies or surfaces. In general, cutting leads to interlinked and intertwined different surfaces or bodies, resulting in very complex systems. However, under certain conditions, the result of cutting can be a single surface or body, which reduces complexity considerably. Our research is motivated by this reduction of complexity. In the study of cutting Generalized Möbius-Listing bodies with polygons as cross section, the conditions under which a single body results, displaying the Möbius phenomenon of a one-sided body, have been determined for even and odd polygons. These conditions are based on congruence and rotational symmetry of the resulting cross sections after cutting, and on the knife cutting the origin. The Möbius phenomenon is important, since the process of cutting (or separation of zones in a GML body in general) then results in a single body, not in different, intertwined domains. In all previous works it was assumed that the cross section of the GML bodies is constant, but the main result of this paper is that it is sufficient that only one cross section on the whole GML structure meets the conditions for the Möbius phenomenon to occur. Several examples are given to illustrate this. |
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000774655100002 |
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UA library record; WoS full record |
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Open Access |
OpenAccess |
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Notes |
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Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:183081 |
Serial |
8258 |
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Author |
Mescia, L.; Chiapperino, M.A.; Bia, P.; Gielis, J.; Caratelli, D. |
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Title |
Modeling of electroporation induced by pulsed electric fields in irregularly shaped cells |
Type |
A1 Journal article |
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Year |
2018 |
Publication |
IEEE transactions on biomedical engineering |
Abbreviated Journal |
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Volume |
65 |
Issue |
2 |
Pages |
414-423 |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
During the past decades, the poration of cell membrane induced by pulsed electric fields has been widely investigated. Since the basic mechanisms of this process have not yet been fully clarified, many research activities are focused on the development of suitable theoretical and numerical models. To this end, a nonlinear, nonlocal, dispersive, and space-time numerical algorithm has been developed and adopted to evaluate the transmembrane voltage and pore density along the perimeter of realistic irregularly shaped cells. The presented model is based on the Maxwell's equations and the asymptotic Smoluchowski's equation describing the pore dynamics. The dielectric dispersion of the media forming the cell has been modeled by using a general multirelaxation Debye-based formulation. The irregular shape of the cell is described by using the Gielis' superformula. Different test cases pertaining to red blood cells, muscular cells, cell in mitosis phase, and cancer-like cell have been investigated. For each type of cell, the influence of the relevant shape, the dielectric properties, and the external electric pulse characteristics on the electroporation process has been analyzed. The numerical results demonstrate that the proposed model is an efficient numerical tool to study the electroporation problem in arbitrary-shaped cells. |
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Wos |
000422914700018 |
Publication Date |
2017-11-13 |
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ISSN |
0018-9294 |
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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:148417 |
Serial |
8264 |
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Author |
Chiapperino, M.A.; Bia, P.; Caratelli, D.; Gielis, J.; Mescia, L.; Dermol-Cerne, J.; Miklavcic, D. |
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Title |
Nonlinear dispersive model of electroporation for irregular nucleated cells |
Type |
A1 Journal article |
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Year |
2019 |
Publication |
Bioelectromagnetics |
Abbreviated Journal |
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Volume |
40 |
Issue |
5 |
Pages |
331-342 |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
In this work, the electroporation phenomenon induced by pulsed electric field on different nucleated biological cells is studied. A nonlinear, non-local, dispersive, and space-time multiphysics model based on Maxwell's and asymptotic Smoluchowski's equations has been developed to calculate the transmembrane voltage and pore density on both plasma and nuclear membrane perimeters. The irregular cell shape has been modeled by incorporating in the numerical algorithm the analytical functions pertaining to Gielis curves. The dielectric dispersion of the cell media has been modeled considering the multi-relaxation Debye-based relationship. Two different irregular nucleated cells have been investigated and their response has been studied applying both the dispersive and non-dispersive models. By a comparison of the obtained results, differences can be highlighted confirming the need to make use of the dispersive model to effectively investigate the cell response in terms of transmembrane voltages, pore densities, and electroporation opening angle, especially when irregular cell shapes and short electric pulses are considered. Bioelectromagnetics. 2019;40:331-342. (c) 2019 Wiley Periodicals, Inc. |
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Wos |
000472568200004 |
Publication Date |
2019-06-10 |
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Edition |
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ISSN |
0197-8462 |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Open Access |
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no |
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Call Number |
UA @ admin @ c:irua:161282 |
Serial |
8315 |
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Permanent link to this record |