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Author |
Gielis, J. |
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Title |
Conquering Mount Improbable |
Type |
P1 Proceeding |
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Year |
2023 |
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Abbreviated Journal |
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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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Publication Date |
2023-11-29 |
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Edition |
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978-90-833839-0-3 |
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Additional Links |
UA library record |
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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 |
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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Additional Links |
UA library record; http://rjm-cs.ro/2023v13i2_7.pdf#page=1 |
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Open Access |
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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 |
Zhang, L.; Quinn, B.K.; Hui, C.; Lian, M.; Gielis, J.; Gao, J.; Shi, P. |
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Title |
New indices to balance α-diversity against tree size inequality |
Type |
A1 Journal article |
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Year |
2024 |
Publication |
Journal of forestry research |
Abbreviated Journal |
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Volume |
35 |
Issue |
1 |
Pages |
31-39 |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
The number and composition of species in a community can be quantified with alpha-diversity indices, including species richness (R), Simpson's index (D), and the Shannon-Wiener index (HGREEK TONOS). In forest communities, there are large variations in tree size among species and individuals of the same species, which result in differences in ecological processes and ecosystem functions. However, tree size inequality (TSI) has been largely neglected in studies using the available diversity indices. The TSI in the diameter at breast height (DBH) data for each of 999 20 m x 20 m forest census quadrats was quantified using the Gini index (GI), a measure of the inequality of size distribution. The generalized performance equation was used to describe the rotated and right-shifted Lorenz curve of the cumulative proportion of DBH and the cumulative proportion of number of trees per quadrat. We also examined the relationships of alpha-diversity indices with the GI using correlation tests. The generalized performance equation effectively described the rotated and right-shifted Lorenz curve of DBH distributions, with most root-mean-square errors (990 out of 999 quadrats) being < 0.0030. There were significant positive correlations between each of three alpha-diversity indices (i.e., R, D, and H') and the GI. Nevertheless, the total abundance of trees in each quadrat did not significantly influence the GI. This means that the TSI increased with increasing species diversity. Thus, two new indices are proposed that can balance alpha-diversity against the extent of TSI in the community: (1 – GI) x D, and (1 – GI) x H'. These new indices were significantly correlated with the original D and HGREEK TONOS, and did not increase the extent of variation within each group of indices. This study presents a useful tool for quantifying both species diversity and the variation in tree sizes in forest communities, especially in the face of cumulative species loss under global climate change. |
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Wos |
001131698000001 |
Publication Date |
2023-12-28 |
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Edition |
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ISSN |
1007-662x; 1993-0607 |
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Additional Links |
UA library record; WoS full record |
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Impact Factor |
3 |
Times cited |
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Open Access |
Not_Open_Access |
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Notes |
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Approved |
Most recent IF: 3; 2024 IF: 0.774 |
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Call Number |
UA @ admin @ c:irua:201972 |
Serial |
9061 |
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Permanent link to this record |
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Author |
Gielis, J.; Tavkhelidze, I. |
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Title |
A note on Generalized Möbius-Listing Bodies |
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 |
31-39
T2 - Proceedings of the 1st International Sy |
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Keywords |
P1 Proceeding; 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. 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. These conditions are based on congruence and rotational symmetry of the resulting cross sections after cutting, and on the knife cutting the origin |
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Wos |
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Publication Date |
2023-11-29 |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
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:201047 |
Serial |
9063 |
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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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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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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 |
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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Publication Date |
2024-01-02 |
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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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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.; 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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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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Publication Date |
2023-11-29 |
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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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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 |
Yao, W.; Hui, C.; Wang, L.; Wang, J.; Gielis, J.; Shi, P. |
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Title |
Comparison of the performance of two polar equations in describing the geometries of elliptical fruits |
Type |
A1 Journal article |
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Year |
2024 |
Publication |
Botany letters |
Abbreviated Journal |
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Keywords |
A1 Journal article; Antwerp engineering, PhotoElectroChemistry & Sensing (A-PECS) |
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Abstract |
In nature, the two-dimensional (2D) profiles of fruits from many plants often resemble ellipses. However, it remains unclear whether these profiles strictly adhere to the ellipse equation, as many natural shapes resembling ellipses are actually better described as superellipses. The superellipse equation, which includes an additional parameter n compared to the ellipse equation, can generate a broader range of shapes, with the ellipse being just a special case of the superellipse. To investigate whether the 2D profiles of fruits are better described by ellipses or superellipses, we collected a total of 751 mature and undamaged fruits from 31 naturally growing plants of Cucumis melo L. var. agrestis Naud. Our analysis revealed that most adjusted root-mean-square errors (> 92% of the 751 fruits) for fitting the superellipse equation to the fruit profiles were consistently less than 0.0165. Furthermore, there were 638 of the 751 fruits (ca. 85%) with the 95% confidence intervals of the estimated parameter n in the superellipse equation not including 2. These findings suggest that the profiles of C. melo var. agrestis fruits align more closely with the superellipse equation than with the ellipse equation. This study provides evidence for the existence of the superellipse in fruit profiles, which has significant implications for studying fruit geometries and estimating fruit volumes using the solid of revolution formula. Furthermore, this discovery may contribute to a deeper understanding of the mechanisms driving the evolution of fruit shapes. |
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Wos |
001219634500001 |
Publication Date |
2024-05-08 |
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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 |
2381-8107; 2381-8115 |
ISBN |
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Additional Links |
UA library record; WoS full record |
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Impact Factor |
1.5 |
Times cited |
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Open Access |
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Notes |
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Approved |
Most recent IF: 1.5; 2024 IF: NA |
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Call Number |
UA @ admin @ c:irua:205955 |
Serial |
9140 |
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Author |
Wang, L.; Griffin, D.K.; Romanov, M.N.; Gielis, J. |
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Title |
Comparison of two polar equations in describing the geometries of domestic pigeon (Columba livia domestica) eggs |
Type |
A1 Journal article |
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Year |
2024 |
Publication |
Poultry science |
Abbreviated Journal |
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Volume |
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Pages |
104196-104199 |
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Keywords |
A1 Journal article; Antwerp engineering, PhotoElectroChemistry & Sensing (A-PECS) |
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Abstract |
Two-dimensional (2D)egg-shape equa-tions are potent mathematical tools, facilitating the description of avian egg geometries in their applied mathematical modelling and poultry science implementations. In the present study, 2 distinct polar equations,namely the Carter-Morley-Jones equation (CMJE) and simplified Gielis equation(SGE), were used to fit the profile geometries of 415 domestic pigeon (Columba livia domestica) eggs based on nonlinear least squares regression methods. |
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Publication Date |
2024-09-21 |
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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 |
0032-5791; 1525-3171 |
ISBN |
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Additional Links |
UA library record |
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Impact Factor |
4.4 |
Times cited |
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Open Access |
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Notes |
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Approved |
Most recent IF: 4.4; 2024 IF: 1.908 |
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Call Number |
UA @ admin @ c:irua:208221 |
Serial |
9279 |
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Permanent link to this record |
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Author |
Brasili, S.; Gielis, J. |
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Title |
Legacy and innovation across symmetry's dimensions |
Type |
L1 Letter to the editor |
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Year |
2024 |
Publication |
Symmetry : culture and science |
Abbreviated Journal |
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Volume |
35 |
Issue |
1 |
Pages |
005-006 |
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Keywords |
L1 Letter to the editor; Antwerp engineering, PhotoElectroChemistry & Sensing (A-PECS) |
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001248266900001 |
Publication Date |
2024-07-03 |
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Abbreviated Series Title |
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Edition |
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ISSN |
0865-4824 |
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Additional Links |
UA library record; WoS full record |
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Times cited |
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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:206498 |
Serial |
9301 |
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Author |
Ermiş, T.; Şen, A.O.; Gielis, J. |
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Title |
A new approach to circular inversion in l₁-normed spaces |
Type |
A1 Journal article |
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Year |
2024 |
Publication |
Symmetry |
Abbreviated Journal |
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Volume |
16 |
Issue |
7 |
Pages |
874-879 |
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Keywords |
A1 Journal article; Engineering sciences. Technology; Antwerp engineering, PhotoElectroChemistry & Sensing (A-PECS) |
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Abstract |
While there are well-known synthetic methods in the literature for finding the image of a point under circular inversion in l2-normed geometry (Euclidean geometry), there is no similar synthetic method in Minkowski geometry, also known as the geometry of finite-dimensional Banach spaces. In this study, we have succeeded in creating a synthetic construction of the circular inversion in l1-normed spaces, which is one of the most fundamental examples of Minkowski geometry. Moreover, this synthetic construction has been given using the Euclidean circle, independently of the l1-norm. |
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Wos |
001278345600001 |
Publication Date |
2024-07-12 |
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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 |
2073-8994 |
ISBN |
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Additional Links |
UA library record; WoS full record |
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Impact Factor |
2.7 |
Times cited |
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Open Access |
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Approved |
Most recent IF: 2.7; 2024 IF: 1.457 |
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Call Number |
UA @ admin @ c:irua:207314 |
Serial |
9307 |
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