Category: Fonctions complexes
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Analyse IV à l’EPFL – Série 11
(Français) Pour cette série 11, de nouvelles découvertes grâce aux fonctions complexes, incluant une vidéo pour comprendre un exercice paramétré par p (le 12.3.10 du livre de Dacorogna-Tanteri)
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Analyse IV à l’EPFL – Série 7
Sorry, this entry is only available in French.
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Light hypersensory : 74th Birthday reflex
Thanks to the birthday of someone called William, I’m celebrating my 74th Birthday reflex ! I post it here because I found it quite interesting, among others.
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Birthday Reflex
For one month now I have been generating Reflex at the speed of one per friend birthday, so one up to five a day, always produced the very day of the birthday. I’m choosing in function of what I know from the person, and from the discovered pictures. So, in order to keep this quite […]
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The explanation video
Here is the explanation video of the “how” of Reflex, with some applications. You can also consult its making-of.
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Zoom over Pink Galaxy
Trip into the heart of a complex function, on more than 30 orders of magnitude. Formula randomly generated. Music from Seven Kingdoms
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Space-time cut in exponential function
This is a complex function periodic beam represented in reflex. The formula is inside the video. Music from Shingetsutan Tsukihime – Crescent.
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Refined and more
This video presents a beam of complex functions represented in Reflex : exp(i*pi/4)*oo(i*circle($x+tan(sinh(exp( z)))),5) where $x varies between -5.0 and 4.4 Mathematical points to observe: – The black circles come from the “circle” function, equal to conj(z)-1/z – oo(f(z), 3) == f(f(f(z))), that’s why there are some fractal-like elements in this video [Thanks to my […]
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Exponential metamorphosis
This video presents a beam of complex functions represented in Reflex : oo(2*(exp(-1/z^2)-$x), 10), where $x varies between -0.2995 and 1.5005 Mathematical points to observe: – The swap between the white ovals, which corresponds to a way through a double root. – The apparition of eigenvalues from scratch (one blue, then two different blue) Musique: […]