Galton-Watson process
Submitted by Nils Berglund on
Growth of a Galton-Watson tree.
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Irreversibility
Submitted by Nils Berglund on
Ehrenfest’s model.
Film Slider
A simple and elegant presentation of IMAGINARY films, for use in your exhibitions.
Experimentarium Digitale
Experimentarium Digitale is a web site that makes available interactive numerical experiments of mathematical models in science and also a collection of augmented ebooks that bears the same name.
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Gallery Slider
A simple and elegant presentation of IMAGINARY galleries, for use in your exhibitions.
Let Me Go
Submitted by Mehrdad Garousi on
This music video is a pure fractal animation made for Flinch, who is an electronic musician from North America. It is made in one of the well-known and still-under-evolution fractal programs Mandelbulb3D, except for minor post-render adjustments in Adobe Premiere. The animation is altogether a combination of 4 basic fractal formulas and what is seen during the 5:45 of the play is the result of variations in the constructing numeric variables defining these formulas or those controlling environmental phenomena like colors, lights, etc.
Crystals and Mathematics
Submitted by IMAGINARY on
Humans have been fascinated by crystals for a long time. Its regular geometry, its special symmetry, but also its diversity in colours surprise and please us. In this article, an overview of the connection between crystals and mathematics is given. It is a contribution to the International Year of Crystallography 2014.
Zero-dimensional symmetry
Submitted by IMAGINARY on
This snapshot is about zero-dimensional symmetry. Thanks to recent discoveries we now understand such symmetry better than previously imagined possible. While still far from complete, a picture of zero-dimensional symmetry is beginning to emerge.
Drogen, Herbizide und numerische Simulation
Submitted by IMAGINARY on
Die kolumbianische Regierung versprüht Unkrautbekämpfungsmittel (Herbizide) über Cocafeldern, um die Drogenproduktion im Land zu reduzieren. Sprühverwehungen entlang der Grenze Kolumbiens zu Ecuador wurden zu einem internationalen Streitfall. Wir haben ein mathematisches Modell für die Ausbreitung der Chemikalien in der Luft entwickelt, das es uns ermöglicht, das Phänomen am Computer zu simulieren.
Operator theory and the singular value decomposition
Submitted by IMAGINARY on
This is a snapshot about operator theory and one of its fundamental tools: the singular value decomposition (SVD). The SVD breaks up linear transformations into simpler mappings, thus unveiling their geometric properties. This tool has become important in many areas of applied mathematics for its ability to organize information. We discuss the SVD in the concrete situation of linear transformations of the plane (such as rotations, reflections, etc.).