Blinking fractals and their quantitative analysis using infinite and infinitesimal numbers
By Yaroslav D. Sergeyev. 2007
65 citations recorded by the source corpus.
Subfields: Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/ca32afc5a19e28150aa1663707ff604a5aab2010
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In Mathematical Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Numerical point of view on Calculus for functions assuming finite, infinite, and infinitesimal values over finite, infinite, and infinitesimal domains (2009, unknown): “For example, (cid:172) − 1 } of even and odd natural numbers are not complete because, due to the IUA (see [10,11]), they have (cid:172) 2 elements each.”
- Numerical infinities and infinitesimals: Methodology, applications, and repercussions on two Hilbert problems (2017, methodology): “Themethodology described here has been successfully applied in several areas ofMathematics andComputer Science: single andmultiple criteria optimization (see [20,32–34,43,116]), cellular automata (see [29–31]), Euclidean and hyperbolic geometry (see [68,69]), percolation (see [56,57,110]), fractals ”