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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 |
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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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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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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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http://rjm-cs.ro/2023v13i2_7.pdf#page=1 |
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UA library record; http://rjm-cs.ro/2023v13i2_7.pdf#page=1 |
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Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:200773 |
Serial |
9043 |
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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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ISSN |
0077-8923; 1749-6632 |
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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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Approved |
Most recent IF: 5.2 |
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Call Number |
UA @ admin @ c:irua:188470 |
Serial |
7139 |
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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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000964122500001 |
Publication Date |
2023-03-21 |
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ISSN |
1664-462x |
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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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2223-7747 |
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UA library record; WoS full record |
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Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:201173 |
Serial |
9072 |
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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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Abbreviated Journal |
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Volume |
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Pages |
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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ISBN |
978-1-119-74985-1 |
Additional Links |
UA library record |
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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:186731 |
Serial |
7165 |
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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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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:144551 |
Serial |
7561 |
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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. |
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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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Series Volume |
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Series Issue |
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Edition |
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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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Impact Factor |
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Times cited |
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Open Access |
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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 |
Bia, P.; Caratelli, D.; Mescia, L.; Gielis, J. |
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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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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 |
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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 |
Gielis, J.; Caratelli, D.; Tavkhelidze, I. |
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Title |
The general case of cutting GML bodies : the geometrical solution |
Type |
H1 Book chapter |
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Year |
2020 |
Publication |
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Abbreviated Journal |
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Volume |
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Issue |
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Pages |
397-411
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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Publication Date |
2020-10-21 |
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Series Editor |
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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 |
978-3-030-56322-6 |
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:174477 |
Serial |
7991 |
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Permanent link to this record |
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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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Abbreviated Series Title |
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Series Issue |
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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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Times cited |
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Open Access |
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Notes |
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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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Abbreviated Series Title |
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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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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:144552 |
Serial |
8326 |
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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 |
H1 Book chapter |
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Year |
2020 |
Publication |
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Abbreviated Journal |
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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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Keywords |
H1 Book chapter; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
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Place of Publication |
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Wos |
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Publication Date |
2020-10-21 |
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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 |
978-3-030-56322-6 |
Additional Links |
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:174479 |
Serial |
7407 |
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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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Series Issue |
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Edition |
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ISBN |
978-90-6569-119-4 |
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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 |
no |
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Call Number |
UA @ admin @ c:irua:110955 |
Serial |
7569 |
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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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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 |
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 |
Gielis, J. |
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Title |
Temperate bamboos in ornamental horticulture: differentiators and spillover effects into the 21st century |
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 |
603-623
T2 - Proceedings of the 9th World Bamboo C |
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Keywords |
H3 Book chapter; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Additional Links |
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:97755 |
Serial |
8644 |
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Permanent link to this record |
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Author |
Gielis, J.; Tavkelidze, I.; Ricci, P.E. |
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Title |
About “bulky” links, generated by generalized Möbius-Listing bodies |
Type |
H3 Book chapter |
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Year |
2011 |
Publication |
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Abbreviated Journal |
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Volume |
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Issue |
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Pages |
115-128
T2 - Proceedings of the International Conf |
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Keywords |
H3 Book chapter; Sustainable Energy, Air and Water Technology (DuEL) |
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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 |
978-9941-0-3727-6 |
Additional Links |
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:97753 |
Serial |
7403 |
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Permanent link to this record |
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Author |
Ricci, P.E.; Gielis, J. |
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Title |
From Pythagoras to Fourier and from geometry to nature |
Type |
MA3 Book as author |
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Year |
2022 |
Publication |
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Abbreviated Journal |
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Volume |
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Issue |
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Pages |
146 p. |
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Keywords |
MA3 Book as author; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Publication Date |
2022-03-23 |
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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 |
978-90-832323-0-0; 978-90-832323-1-7 |
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:186730 |
Serial |
7166 |
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Permanent link to this record |
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Author |
Gielis, J. |
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Title |
The geometrical beauty of plants |
Type |
MA3 Book as author |
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Year |
2017 |
Publication |
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Abbreviated Journal |
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Volume |
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Issue |
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Pages |
229 p. |
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Keywords |
MA3 Book as author; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Publication Date |
2017-06-01 |
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Series Issue |
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Edition |
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ISSN |
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ISBN |
978-94-6239-150-5; 978-94-6239-151-2 |
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:144554 |
Serial |
7997 |
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Permanent link to this record |
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Author |
Gielis, J.; Ricci, P.E.; Tavkhelidze, I. |
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Title |
Modeling in mathematics : proceedings of the second Tbilisi-Salerno workshop on modeling in mathematics |
Type |
ME3 Book as editor |
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Year |
2017 |
Publication |
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Abbreviated Journal |
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Volume |
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Issue |
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Pages |
185 p. |
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Keywords |
ME3 Book as editor; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
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Wos |
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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 |
Additional Links |
UA library record |
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Impact Factor |
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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:144553 |
Serial |
8263 |
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Permanent link to this record |
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Author |
Gielis, J.; Brasili, S. |
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Title |
Proceedings of the 1st International Symposium on Square Bamboos and the Geometree (ISSBG 2022) |
Type |
ME3 Book as editor |
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Year |
2023 |
Publication |
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Abbreviated Journal |
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Volume |
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Issue |
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Pages |
xi, 175 p. |
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Keywords |
ME3 Book as editor; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Wos |
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Publication Date |
2023-11-29 |
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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 |
978-90-833839-0-3 |
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:201049 |
Serial |
9077 |
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Permanent link to this record |
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Author |
Shi, P.; Gielis, J.; Niklas, K.J.; Niinemets, Ü.; Schrader, J. |
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Title |
Leaf functional traits : ecological and evolutionary implications |
Type |
ME3 Book as editor |
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Year |
2023 |
Publication |
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Abbreviated Journal |
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Volume |
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Issue |
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Pages |
185 p. |
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Keywords |
ME3 Book as editor; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
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Address |
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Place of Publication |
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Wos |
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Publication Date |
2023-04-14 |
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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 |
978-2-8325-2086-4; 1664-8714 |
Additional Links |
UA library record |
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Impact Factor |
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Times cited |
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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:198002 |
Serial |
8894 |
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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 |
ME3 Book as editor |
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Year |
2023 |
Publication |
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Abbreviated Journal |
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Volume |
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Issue |
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Pages |
224 p. |
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Keywords |
ME3 Book as editor; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Delve into the diverse aspects of plant morphology, their responses to global climate change, and the spatiotemporal dynamics of forest productivity. Join us on a journey through the intricate web of plant characteristics and their impact on the environment. |
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Wos |
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Publication Date |
2024-01-02 |
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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 |
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ISBN |
978-3-0365-9422-4; 978-3-0365-9423-1 |
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:201545 |
Serial |
9073 |
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Permanent link to this record |
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Author |
Gielis, J. |
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Title |
Conquering Mount Improbable |
Type |
P1 Proceeding |
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Year |
2023 |
Publication |
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Abbreviated Journal |
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Volume |
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Issue |
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Pages |
153-173
T2 - Proceedings of the 1st International |
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Keywords |
P1 Proceeding; Economics; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Our scientific and technological worldviews are largely dominated by the concepts of entropy and complexity. Originating in 19th-century thermodynamics, the concept of entropy merged with information in the last century, leading to definitions of entropy and complexity by Kolmogorov, Shannon and others. In its simplest form, this worldview is an application of the normal rules of arithmetic. In this worldview, when tossing a coin, a million heads or tails in a row is theoretically possible, but impossible in practice and in real life. On this basis, the impossible (in the binary case, the outermost entries of Pascal's triangle xn and yn for large values of n) can be safely neglected, and one can concentrate fully on what is common and what conforms to the law of large numbers, in fields ranging from physics to sociology and everything in between. However, in recent decades it has been shown that what is most improbable tends to be the rule in nature. Indeed, if one combines the outermost entries xn and yn with the normal rules of arithmetic, either addition or multiplication, one obtains Lamé curves and power laws respectively. In this article, some of these correspondences are highlighted, leading to a double conclusion. First, Gabriel Lamé's geometric footprint in mathematics and the sciences is enormous. Second, conic sections are at the core once more. Whereas mathematics so far has been exclusively the language of patterns in the sciences, the door is opened for mathematics to also become the language of the individual. The probabilistic worldview and Lamé's footprint can be seen as dual methods. In this context, it is to be expected that the notions of information, complexity, simplicity and redundancy benefit from this different viewpoint. |
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Wos |
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Publication Date |
2023-11-29 |
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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 |
978-90-833839-0-3 |
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:201045 |
Serial |
9014 |
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Permanent link to this record |
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Author |
Nicolau, F.; Gielis, J.; Simeone, A.L.; Simoes Lopes, D. |
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Title |
Exploring and selecting supershapes in virtual reality with line, quad, and cube shaped widgets |
Type |
P1 Proceeding |
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Year |
2022 |
Publication |
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Abbreviated Journal |
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Volume |
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Issue |
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Pages |
21-28 |
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Keywords |
P1 Proceeding; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Supershapes are used in Parametric Design to model, literally, thou-sands of natural and man-made shapes with a single 6 parameter formula. However, users are left to probe such a rich yet dense collection of supershapes using a set of independent 1-D sliders. Some of the formula’s parameters are non-linear in nature, making them particularly difficult to grasp with conventional 1-D sliders alone. VR appears as a promising setting for Parametric Design with supershapes since it empowers users with more natural visual inspection and shape browsing techniques, with multiple solutions being displayed at once and the possibility to design more interesting forms of slider interaction. In this work, we propose VR shape widgets that allow users to probe and select supershapes from a multitude of solutions. Our designs take leverage on thumbnails, mini-maps, haptic feedback and spatial interaction, while supporting 1-D, 2-D and 3-D supershape parameter spaces. We conducted a user study (N = 18) and found that VR shape widgets are effective, more efficient, and natural than conventional VR 1-D sliders while also usable for users without prior knowledge on supershapes. We also found that the proposed VR widgets provide a quick overview of the main supershapes, and users can easily reach the desired solution without having to perform fine-grain handle manipulations. |
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Place of Publication |
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Wos |
000828657500003 |
Publication Date |
2022-04-20 |
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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 |
978-1-6654-9617-9 |
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 |
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:188471 |
Serial |
7161 |
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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. |
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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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Place of Publication |
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Wos |
000550769300021 |
Publication Date |
2020-03-03 |
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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 |
978-1-72813-403-1; 978-1-72813-404-8; 978-1-72813-403-1 |
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 |
no |
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Call Number |
UA @ admin @ c:irua:169169 |
Serial |
7766 |
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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. |
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Title |
Multiphysics modelling of membrane electroporation in irregularly shaped cells |
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 |
2992-2998 |
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Keywords |
P1 Proceeding; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Electroporation is a non-thermal electromagnetic phenomenon widely used in medical diseases treatment. Different mathematical models of electroporation have been proposed in literature to study pore evolution in biological membranes. This paper presents a nonlinear dispersive multiphysic model of electroporation in irregular shaped biological cells in which the spatial and temporal evolution of the pores size is taken into account. The model solves Maxwell and asymptotic Smoluchowski equations and it describes the dielectric dispersion of cell media using a Debye-based relationship. Furthermore, the irregular cell shape has been modeled using the Gielis superformula. Taking into account the cell in mitosis phase, the electroporation process has been studied comparing the numerical results pertaining the model with variable pore radius with those in which the pore radius is supposed constant. The numerical analysis has been performed exposing the biological cell to a rectangular electric pulse having duration of 10 μs. The obtained numerical results highlight considerable differences between the two different models underling the need to include into the numerical algorithm the differential equation modeling the spatial and time evolution of the pores size. |
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Place of Publication |
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Editor |
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Language |
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Wos |
000550769302159 |
Publication Date |
2020-03-03 |
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Series Editor |
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Series Title |
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Edition |
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ISSN |
978-1-72813-404-8; 978-1-72813-403-1 |
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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:169170 |
Serial |
8288 |
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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. |
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Title |
Relevance of the cell membrane modelling for accurate analysis of the pulsed electric field-induced electroporation |
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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Issue |
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Pages |
2985-2991 |
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Keywords |
P1 Proceeding; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
In this work, a nonlinear dispersive multiphysic model based on Maxwell and asymptotic Smoluchowsky equations has been developed to analyze the electroporation phenomenon induced by pulsed electric field on biological cells. The irregular plasma membrane geometry has been modeled by incorporating in the numerical algorithm the Gielis superformula as well as the dielectric dispersion of the plasma membrane has been modeled using the multi-relaxation Debye-based relationship. The study has been carried out with the aim to compare our model implementing a thin plasma membrane with the simplified model in which the plasma membrane is modeled as a distributed impedance boundary condition. The numerical analysis has been performed exposing the cell to external electric pulses having rectangular shapes. By an inspection of the obtained results, significant differences can be highlighted between the two models confirming the need to incorporate the effective thin membrane into the numerical algorithm to well predict the cell response to the pulsed electric fields in terms of transmembrane voltages and pore densities, especially when the cell is exposed to external nanosecond pulses. |
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Wos |
000550769302158 |
Publication Date |
2020-03-03 |
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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 |
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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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:169171 |
Serial |
8469 |
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Permanent link to this record |
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Author |
Mescia, L.; Bia, P.; Gielis, J.; Caratelli, D. |
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Title |
Advanced particle swarm optimization methods for electromagnetics |
Type |
P1 Proceeding |
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Year |
2023 |
Publication |
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Abbreviated Journal |
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Volume |
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Issue |
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Pages |
109-122
T2 - Proceedings of the 1st International |
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Keywords |
P1 Proceeding; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Electromagnetic design problems involve optimizing multiple parameters that are nonlinearly related to objective functions. Traditional optimization techniques require significant computational resources that grow exponentially as the problem size increases. Therefore, a method that can produce good results with moderate memory and computational resources is desirable. Bioinspired optimization methods, such as particle swarm optimization (PSO), are known for their computational efficiency and are commonly used in various scientific and technological fields. In this article we explore the potential of advanced PSO-based algorithms to tackle challenging electromagnetic design and analysis problems faced in real-life applications. It provides a detailed comparison between conventional PSO and its quantum-inspired version regarding accuracy and computational costs. Additionally, theoretical insights on convergence issues and sensitivity analysis on parameters influencing the stochastic process are reported. The utilization of a novel quantum PSO-based algorithm in advanced scenarios, such as reconfigurable and shaped lens antenna synthesis, is illustrated. The hybrid modeling approach, based on the unified geometrical description enabled by the Gielis Transformation, is applied in combination with a suitable quantum PSO-based algorithm, along with a geometrical tube tracing and physical optics technique for solving the inverse problem aimed at identifying the geometrical parameters that yield optimal antenna performance. |
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Publication Date |
2023-11-29 |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
978-90-833839-0-3 |
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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:201048 |
Serial |
9002 |
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Permanent link to this record |