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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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ISSN |
978-90-833839-0-3 |
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UA library record |
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no |
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Call Number |
UA @ admin @ c:irua:201045 |
Serial |
9014 |
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Author |
Gielis, J. |
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Title |
Simon Stevin as a central figure in the development of abstract algebra and generic programming |
Type |
A1 Journal article |
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Year |
2023 |
Publication |
Symmetry : culture and science |
Abbreviated Journal |
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Volume |
34 |
Issue |
2 |
Pages |
155-168 |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Simon Stevin (1548-1620) is mainly known for the decimal system and his Clootkrans proof. His influence is also profound in infinitesimal calculus, mechanics, and even in abstract algebra and today’s conception of polynomials, algorithms, and generic programming. Here we review his influence as assessed in generic programming. According to Dr. Stepanov, one of the most influential researchers in generic programming, Stevin’s work on polynomials can be regarded as the essence of generic programming: an algorithm from one domain can be applied in another similar domain. |
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001068714100003 |
Publication Date |
2023-07-11 |
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ISSN |
0865-4824 |
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Additional Links |
UA library record; WoS full record |
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Open Access |
Not_Open_Access: Available from 08.02.2024 |
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Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:198000 |
Serial |
8929 |
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Author |
Gielis, J. |
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Title |
Fred Van Oystaeyen : Time hybrids: a new generic theory of reality |
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Review |
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Year |
2023 |
Publication |
Symmetry, Culture and Science |
Abbreviated Journal |
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Volume |
34 |
Issue |
3 |
Pages |
347-351 |
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Keywords |
Review; Sustainable Energy, Air and Water Technology (DuEL) |
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OpenAccess |
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Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:199538 |
Serial |
8871 |
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Author |
Gielis, J. |
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Title |
Double helix of phyllotaxis : analysis of the geometric model of plant morphogenesis, by Boris Rozin |
Type |
Review |
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Year |
2021 |
Publication |
Quarterly Review Of Biology |
Abbreviated Journal |
Q Rev Biol |
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Volume |
96 |
Issue |
2 |
Pages |
139-140 |
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Keywords |
Review; Sustainable Energy, Air and Water Technology (DuEL) |
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Publication Date |
2021-05-19 |
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ISSN |
0033-5770; 1539-7718 |
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Additional Links |
UA library record |
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Impact Factor |
4.25 |
Times cited |
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Open Access |
Not_Open_Access |
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Approved |
Most recent IF: 4.25 |
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Call Number |
UA @ admin @ c:irua:178829 |
Serial |
7824 |
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Author |
Gielis, J. |
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Title |
Phi-bonacci in Ancient Greece |
Type |
A1 Journal article |
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Year |
2021 |
Publication |
Symmetry : culture and science |
Abbreviated Journal |
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Volume |
32 |
Issue |
1 |
Pages |
25-40 |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Fibonacci numbers are a very popular subject in mathematics, culture and science. A major open question is why the ancient Greeks overlooked this series, while they were very familiar with the golden mean and division in extreme and mean ratio. Furthermore, they could compute the square root of five to a high degree of precision using Theon 's ladder. This fact is based on tables built with side and diagonal numbers, and it is a simple and incredibly efficient method to compute roots of integers, though it is little known even now among most of the experts. The biologist D 'Arcy Wentworth Thompson showed that the same method could be used to generate the Fibonacci series using a simple shift in the computation of the tables. He argues, quite convincingly, that the ancient Greeks could not have overlooked this. Actually, the same method can be used to generate all possible regular phyllotaxis patterns. |
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000643822700002 |
Publication Date |
2021-03-30 |
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0865-4824 |
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Additional Links |
UA library record; WoS full record |
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Open Access |
OpenAccess |
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Notes |
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Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:178322 |
Serial |
8376 |
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Author |
Gielis, J. |
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Title |
Er bestaan geen absurde, irrationele, onregelmatige of onderling niet-onmeetbare meetkundige getallen |
Type |
A2 Journal article |
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Year |
2021 |
Publication |
Wiskunde en onderwijs |
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Volume |
47 |
Issue |
188 |
Pages |
23-33 |
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Keywords |
A2 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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ISSN |
2032-0485 |
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Additional Links |
UA library record |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:183083 |
Serial |
7934 |
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Author |
Gielis, J. |
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Title |
The geometrical beauty of plants |
Type |
MA3 Book as author |
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Year |
2017 |
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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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2017-06-01 |
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978-94-6239-150-5; 978-94-6239-151-2 |
Additional Links |
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no |
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Call Number |
UA @ admin @ c:irua:144554 |
Serial |
7997 |
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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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2012 |
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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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no |
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Call Number |
UA @ admin @ c:irua:97755 |
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8644 |
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