| Records |
| Author |
Gielis, J.; Caratelli, D.; Shi, P.; Ricci, P.E. |
| 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) |
| 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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Wos  |
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Publication Date |
2020-02-23 |
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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 |
| Call Number |
UA @ admin @ c:irua:167061 |
Serial |
6569 |
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| |
| Author |
Dattoli, G.; Di Palma, E.; Gielis, J.; Licciardi, S. |
| 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 |
| Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Thesis |
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Wos |
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Publication Date |
2020-03-04 |
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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 |
2349-5103 |
ISBN |
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Additional Links |
UA library record |
| 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 |
| Call Number |
UA @ admin @ c:irua:167049 |
Serial |
6578 |
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| Author |
De Tommasi, E.; Rogato, A.; Caratelli, D.; Mescia, L.; Gielis, J. |
| Title |
Following the photons route : mathematical models describing the interaction of diatoms with light |
Type |
H1 Book chapter |
| Year |
2022 |
Publication |
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Abbreviated Journal |
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| Volume |
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Issue |
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Pages |
1-53 |
| Keywords |
H1 Book chapter; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
| 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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Series Title |
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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 |
978-1-119-74985-1 |
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 |
| Call Number |
UA @ admin @ c:irua:186731 |
Serial |
7165 |
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| Author |
Ricci, P.E.; Gielis, J. |
| Title |
From Pythagoras to Fourier and from geometry to nature |
Type |
MA3 Book as author |
| Year |
2022 |
Publication |
|
Abbreviated Journal |
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| Volume |
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Issue |
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Pages |
146 p. |
| Keywords |
MA3 Book as author; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Place of Publication |
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Wos |
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Publication Date |
2022-03-23 |
| 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 |
978-90-832323-0-0; 978-90-832323-1-7 |
Additional Links |
UA library record |
| Impact Factor |
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Times cited |
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Open Access |
Not_Open_Access |
| Notes |
|
Approved |
Most recent IF: NA |
| Call Number |
UA @ admin @ c:irua:186730 |
Serial |
7166 |
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| Author |
Gielis, J.; Grigolia, R. |
| Title |
Lamé curves and Rvachev's R-functions |
Type |
A3 Journal article |
| Year |
2022 |
Publication |
Sn – 1512-0066 |
Abbreviated Journal |
|
| Volume |
37 |
Issue |
|
Pages |
1-4 |
| Keywords |
A3 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
| 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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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 |
| 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 |
| Call Number |
UA @ admin @ c:irua:189316 |
Serial |
7178 |
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| Author |
Gielis, J.; Shi, P.; Caratelli, D. |
| Title |
Universal equations : a fresh perspective |
Type |
A1 Journal article |
| Year |
2022 |
Publication |
Growth and Form |
Abbreviated Journal |
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| Volume |
|
Issue |
|
Pages |
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| Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
| 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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Series Issue |
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Edition |
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ISBN |
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Additional Links |
UA library record |
| 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 |
| Call Number |
UA @ admin @ c:irua:189317 |
Serial |
7224 |
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| |
| Author |
Gielis, J.; Tavkelidze, I.; Ricci, P.E. |
| Title |
About “bulky” links, generated by generalized Möbius-Listing bodies |
Type |
H3 Book chapter |
| Year |
2011 |
Publication |
|
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 |
| Keywords |
H3 Book chapter; Sustainable Energy, Air and Water Technology (DuEL) |
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Series Title |
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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 |
978-9941-0-3727-6 |
Additional Links |
UA library record |
| 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:97753 |
Serial |
7403 |
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| Author |
Gielis, J.; Tavkhelidze, I.; Ricci, P.E. |
| Title |
About “bulky” links generated by generalized Möbius-Listing bodies GML2n |
Type |
A2 Journal article |
| Year |
2013 |
Publication |
Journal of mathematical sciences |
Abbreviated Journal |
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| Volume |
193 |
Issue |
3 |
Pages |
449-460 |
| Keywords |
A2 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
| 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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Editor |
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Wos |
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Publication Date |
2013-08-03 |
| 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 |
1072-3374; 1573-8795 |
ISBN |
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Additional Links |
UA library record |
| 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:110953 |
Serial |
7404 |
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| Author |
Tavkhelidze, I.; Gielis, J.; Pinelas, S. |
| Title |
About some methods of analytic representation and classification of a wide set of geometric figures with “complex” configuration |
Type |
A3 Journal article |
| Year |
2020 |
Publication |
Sn – 1512-0066 |
Abbreviated Journal |
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| Volume |
34 |
Issue |
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Pages |
81-84 |
| Keywords |
A3 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Publication Date |
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Series Title |
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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 |
| 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 |
| Call Number |
UA @ admin @ c:irua:174475 |
Serial |
7406 |
| Permanent link to this record |
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| Author |
Tavkhelidze, I.; Gielis, J.; Pinelas, S. |
| Title |
About some methods of analytic representation and classification of a wide set of geometric figures with “complex” configuration |
Type |
H1 Book chapter |
| Year |
2020 |
Publication |
|
Abbreviated Journal |
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| Volume |
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Issue |
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Pages |
347-359
T2 - Differential and difference equations |
| Keywords |
H1 Book chapter; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
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| Address |
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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 |
2020-10-21 |
| 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 |
| Impact Factor |
|
Times cited |
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Open Access |
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| Notes |
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Approved |
Most recent IF: NA |
| Call Number |
UA @ admin @ c:irua:174479 |
Serial |
7407 |
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| Author |
Gielis, J.; Caratelli, D.; Tavkelidze, I.; Fougerolle, Y.; Ricci, P.E.; Gerats, T. |
| Title |
Bulky knots and links generated by cutting generalized Mobius-Listing bodies and applications in the natural sciences |
Type |
H2 Book chapter |
| 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 |
| Keywords |
H2 Book chapter; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
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| Address |
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Place of Publication |
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Wos |
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Publication Date |
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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 |
978-90-6569-119-4 |
Additional Links |
UA library record |
| Impact Factor |
|
Times cited |
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Open Access |
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| Notes |
|
Approved |
no |
| Call Number |
UA @ admin @ c:irua:110955 |
Serial |
7569 |
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| Author |
Düking, R.; Gielis, J.; Liese, W. |
| Title |
Carbon flux and carbon stock in a bamboo stand and their relevance for mitigating climate change |
Type |
A3 Journal article |
| Year |
2011 |
Publication |
Bamboo Science & Culture |
Abbreviated Journal |
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| Volume |
24 |
Issue |
1 |
Pages |
1-6 |
| Keywords |
A3 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
| 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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Publication Date |
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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 |
1535-7635 |
ISBN |
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Additional Links |
UA library record |
| Impact Factor |
|
Times cited |
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Open Access |
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| Notes |
|
Approved |
no |
| Call Number |
UA @ admin @ c:irua:91091 |
Serial |
7578 |
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| Author |
Van den Akker, S.; Bormans, P.; Peeters, H.; Gielis, J.; Prinsen, E. |
| Title |
Cytokinin dynamics in cell suspension cultures of Bambusa balcooa Roxburgh using UPLC-ESI/MS/MS |
Type |
H3 Book chapter |
| 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 |
| Keywords |
H3 Book chapter; Engineering sciences. Technology; Integrated Molecular Plant Physiology Research (IMPRES); Sustainable Energy, Air and Water Technology (DuEL) |
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Series Title |
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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 |
| Impact Factor |
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Times cited |
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Open Access |
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| Notes |
|
Approved |
no |
| Call Number |
UA @ admin @ c:irua:97754 |
Serial |
7750 |
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| Author |
Gielis, J. |
| Title |
Double helix of phyllotaxis : analysis of the geometric model of plant morphogenesis, by Boris Rozin |
Type |
Review |
| Year |
2021 |
Publication |
Quarterly Review Of Biology |
Abbreviated Journal |
Q Rev Biol |
| Volume |
96 |
Issue |
2 |
Pages |
139-140 |
| Keywords |
Review; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
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Thesis |
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Place of Publication |
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Editor |
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Wos |
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Publication Date |
2021-05-19 |
| 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 |
0033-5770; 1539-7718 |
ISBN |
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Additional Links |
UA library record |
| Impact Factor |
4.25 |
Times cited |
|
Open Access |
Not_Open_Access |
| Notes |
|
Approved |
Most recent IF: 4.25 |
| Call Number |
UA @ admin @ c:irua:178829 |
Serial |
7824 |
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| Author |
Gielis, J. |
| Title |
Er bestaan geen absurde, irrationele, onregelmatige of onderling niet-onmeetbare meetkundige getallen |
Type |
A2 Journal article |
| Year |
2021 |
Publication |
Wiskunde en onderwijs |
Abbreviated Journal |
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| Volume |
47 |
Issue |
188 |
Pages |
23-33 |
| Keywords |
A2 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Place of Publication |
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Publication Date |
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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 |
2032-0485 |
ISBN |
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Additional Links |
UA library record |
| Impact Factor |
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Times cited |
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Open Access |
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| Notes |
|
Approved |
Most recent IF: NA |
| Call Number |
UA @ admin @ c:irua:183083 |
Serial |
7934 |
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| Author |
Caratelli, D.; Gielis, J.; Ricci, P.E. |
| Title |
Fourier-like solution of the Dirichlet problem for the Laplace Equation in k-type Gielis domains |
Type |
A1 Journal article |
| Year |
2011 |
Publication |
Journal of pure and applied mathematics : advances and applications |
Abbreviated Journal |
|
| Volume |
5 |
Issue |
2 |
Pages |
99-111 |
| Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
| 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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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 |
| 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:91090 |
Serial |
7982 |
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| Author |
Gielis, J.; Caratelli, D.; Tavkhelidze, I. |
| Title |
The general case of cutting GML bodies : the geometrical solution |
Type |
H1 Book chapter |
| Year |
2020 |
Publication |
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Abbreviated Journal |
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| Volume |
|
Issue |
|
Pages |
397-411
T2 - Differential and difference equations |
| Keywords |
H1 Book chapter; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
| 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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Wos |
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Publication Date |
2020-10-21 |
| 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 |
| Impact Factor |
|
Times cited |
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Open Access |
|
| Notes |
|
Approved |
Most recent IF: NA |
| Call Number |
UA @ admin @ c:irua:174477 |
Serial |
7991 |
| Permanent link to this record |
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| Author |
Gielis, J.; Tavkhelidze, I. |
| Title |
The general case of cutting of Generalized Möbius-Listing surfaces and bodies |
Type |
A1 Journal article |
| Year |
2020 |
Publication |
4Open |
Abbreviated Journal |
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| Volume |
3 |
Issue |
|
Pages |
7-48 |
| Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
The original motivation to study Generalized Möbius-Listing GML surfaces and bodies was the observation that the solution of boundary value problems greatly depends on the domains. Since around 2010 GML’s were merged with (continuous) Gielis Transformations, which provide a unifying description of geometrical shapes, as a generalization of the Pythagorean Theorem. The resulting geometrical objects can be used for modeling a wide range of natural shapes and phenomena. The cutting of GML bodies and surfaces, with the Möbius strip as one special case, is related to the field of knots and links, and classifications were obtained for GML with cross sectional symmetry of 2, 3, 4, 5 and 6. The general case of cutting GML bodies and surfaces, in particular the number of ways of cutting, could be solved by reducing the 3D problem to planar geometry. This also unveiled a range of connections with topology, combinatorics, elasticity theory and theoretical physics. |
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Wos |
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Publication Date |
2020-08-31 |
| 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 |
2557-0250 |
ISBN |
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Additional Links |
UA library record |
| 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 |
| Call Number |
UA @ admin @ c:irua:174471 |
Serial |
7992 |
| Permanent link to this record |
| |
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| |
| Author |
Gielis, J. |
| Title |
The geometrical beauty of plants |
Type |
MA3 Book as author |
| Year |
2017 |
Publication |
|
Abbreviated Journal |
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| Volume |
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Issue |
|
Pages |
229 p. |
| Keywords |
MA3 Book as author; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Place of Publication |
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Editor |
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Wos |
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Publication Date |
2017-06-01 |
| 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 |
978-94-6239-150-5; 978-94-6239-151-2 |
Additional Links |
UA library record |
| 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:144554 |
Serial |
7997 |
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| |
| Author |
Chapman, D.; Gielis, J. |
| Title |
Gielis transformations for the audiovisual geometry database |
Type |
A1 Journal article |
| Year |
2021 |
Publication |
Symmetry : culture and science |
Abbreviated Journal |
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| Volume |
32 |
Issue |
2 |
Pages |
177-180 |
| Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
| 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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Publication Date |
2021-07-02 |
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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 |
| Impact Factor |
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Times cited |
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Open Access |
Not_Open_Access |
| Notes |
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Approved |
Most recent IF: NA |
| Call Number |
UA @ admin @ c:irua:180965 |
Serial |
8004 |
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| |
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| |
| Author |
Vermander, C.; De Wael, J.; Gielis, J. |
| Title |
De kleine boerderij : twee bijzondere tuinkamers |
Type |
A2 Journal article |
| Year |
2019 |
Publication |
Groencontact |
Abbreviated Journal |
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| Volume |
45 |
Issue |
5 |
Pages |
14-19 |
| Keywords |
A2 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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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 |
1374-4631 |
ISBN |
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Additional Links |
UA library record |
| 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:164895 |
Serial |
8142 |
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| |
| Author |
Gielis, J.; Shi, P.; Beirinckx, B.; Caratelli, D.; Ricci, P.E. |
| Title |
Lamé-Gielis curves in biology and geometry |
Type |
P3 Proceeding |
| Year |
2021 |
Publication |
|
Abbreviated Journal |
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| Volume |
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Issue |
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Pages |
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| Keywords |
P3 Proceeding; Sustainable Energy, Air and Water Technology (DuEL) |
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Place of Publication |
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Publication Date |
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Series Title |
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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 |
| 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 |
| Call Number |
UA @ admin @ c:irua:178828 |
Serial |
8145 |
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| |
| Author |
Gielis, J.; Tavkhelidze, I. |
| Title |
The Mӧbius phenomenon in Generalized Mӧbius-Listing bodies with cross sections of odd and even polygons |
Type |
A3 Journal article |
| Year |
2020 |
Publication |
Sn – 1512-0066 |
Abbreviated Journal |
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| Volume |
34 |
Issue |
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Pages |
23-26 |
| Keywords |
A3 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Series Title |
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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 |
| 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 |
| Call Number |
UA @ admin @ c:irua:174474 |
Serial |
8257 |
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| |
| Author |
Gielis, J.; Ricci, P.E.; Tavkhelidze, I. |
| Title |
Modeling in mathematics : proceedings of the second Tbilisi-Salerno workshop on modeling in mathematics |
Type |
ME3 Book as editor |
| 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. |
| 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 |
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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ISBN |
978-94-6239-260-1; 978-94-6239-261-8 |
Additional Links |
UA library record |
| 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:144553 |
Serial |
8263 |
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| Author |
Gielis, J.; Verhulst, R.; Caratelli, D.; Ricci, P.E.; Tavkhelidze, I. |
| Title |
On means, polynomials and special functions |
Type |
A1 Journal article |
| Year |
2014 |
Publication |
The teaching of mathematics |
Abbreviated Journal |
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| Volume |
17 |
Issue |
1 |
Pages |
1-20 |
| Keywords |
A1 Journal article; Educational sciences; Sustainable Energy, Air and Water Technology (DuEL) |
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Series Title |
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Abbreviated Series Title |
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Series Issue |
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Edition |
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| ISSN |
1451-4966; 2406-1077 |
ISBN |
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Additional Links |
UA library record |
| 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:128660 |
Serial |
8327 |
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| Author |
Gielis, J.; Potters, G. |
| Title |
Proceedings of the 9th World Bamboo Congress, Antwerp 2012 |
Type |
P3 Proceeding |
| Year |
2012 |
Publication |
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Abbreviated Journal |
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Issue |
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Pages |
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| Keywords |
P3 Proceeding; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Editor |
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Publication Date |
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Series Title |
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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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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:97756 |
Serial |
8413 |
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| Author |
Tavkhelidze, I.; Gielis, J. |
| Title |
The process of cutting GMLmn bodies with dm-knives |
Type |
A3 Journal article |
| Year |
2018 |
Publication |
Sn – 1512-0066 |
Abbreviated Journal |
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| Volume |
32 |
Issue |
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Pages |
67-70 |
| Keywords |
A3 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Publication Date |
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Series Title |
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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 |
| 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:159971 |
Serial |
8417 |
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| Author |
Caratelli, D.; Gielis, J.; Ricci, P.E.; Tavkhelidze, I. |
| 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 |
| Keywords |
A2 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
| 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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Place of Publication |
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Wos |
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Publication Date |
2016-06-10 |
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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 |
1072-3374; 1573-8795 |
ISBN |
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Additional Links |
UA library record |
| 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 |
| Permanent link to this record |
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| Author |
Caratelli, D.; Gielis, J.; Ricci, P.E.; Tavkhelidze, I. |
| Title |
Some properties of “bulky” links, generated by Generalized Möbius Listing's bodies GML4n |
Type |
P3 Proceeding |
| Year |
2013 |
Publication |
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Abbreviated Journal |
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| Volume |
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Issue |
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Pages |
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| Keywords |
P3 Proceeding; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Place of Publication |
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Publication Date |
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Series Title |
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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 |
| 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:108672 |
Serial |
8555 |
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| Author |
Caratelli, D.; Gielis, J.; Tavkhelidze, I.; Ricci, P.E. |
| Title |
Spherical harmonic solution of the Robin problem for the Helmholtz equation in a supershaped shell |
Type |
A1 Journal article |
| Year |
2013 |
Publication |
Applied mathematics |
Abbreviated Journal |
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| Volume |
4 |
Issue |
1a |
Pages |
263-270 |
| Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
| Abstract |
The Robin problem for the Helmholtz equation in normal-polar shells is addressed by using a suitable spherical harmonic expansion technique. Attention is in particular focused on the wide class of domains whose boundaries are defined by a generalized version of the so-called superformula introduced by Gielis. A dedicated numerical procedure based on the computer algebra system Mathematica? is developed in order to validate the proposed methodology. In this way, highly accurate approximations of the solution, featuring properties similar to the classical ones, are obtained. |
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Place of Publication |
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Editor |
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Wos |
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Publication Date |
2013-01-30 |
| 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 |
2152-7385 |
ISBN |
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Additional Links |
UA library record |
| 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:107177 |
Serial |
8576 |
| Permanent link to this record |
