Category: Vidéos

  • 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)

  • The explanation video

    Here is the explanation video of the “how” of Reflex, with some applications.  You can also consult its making-of.

  • 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

  • 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.

  • 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 […]

  • 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: […]