Author Archives: Danilo Roccatano

About Danilo Roccatano

I have a Doctorate in chemistry at the University of Roma “La Sapienza”. I led educational and research activities at different universities in Italy, The Netherlands, Germany and now in the UK. I am fascinated by the study of nature with theoretical models and computational. For years, my scientific research is focused on the study of molecular systems of biological interest using the technique of Molecular Dynamics simulation. I have developed a server (the link is in one of my post) for statistical analysis at the amino acid level of the effect of random mutations induced by random mutagenesis methods. I am also very active in the didactic activity in physical chemistry, computational chemistry, and molecular modeling. I have several other interests and hobbies as video/photography, robotics, computer vision, electronics, programming, microscopy, entomology, recreational mathematics and computational linguistics.

Lissajous-Bowditch curves

Posted on December 1, 2018

Try to glue a small mirror to an end of a bent piece of wire fixed to a stable platform and let the laser beam of a laser pointer reflect on it. Entangled spires of an ephemeral dragon of light will … Continue reading →

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The Magic Imaginary Numbers

Posted on December 1, 2018

Complex numbers may appear a difficult subject given the name. However, there is nothing of really complicated about complex numbers. However, they definitively add a pinch of \em magic \em in the mathematics manipulations that you can do with them!

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Berechnung der Konstante von Madelung

Posted on October 29, 2018

Die gesamte Coulomb-Potentialenergie eines Kristalls ist die Summe der einzelnen Terme der elektrostatischen Potentialenergie zum Laden von Ionen   e und  getrennt nach Entfernung . Die Summe erstreckt sich auf alle im Festkörper vorhandenen Ionenpaare für alle kristallinen Strukturen. Die … Continue reading →

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The Fourier Series

Posted on October 12, 2018

Pure mathematics is much more than an armory of tools and techniques for the applied mathematician. On the other hand, the pure mathematician has ever been grateful to applied mathematics for stimulus and inspiration. From the vibrations of the violin … Continue reading →

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La Serie​ di Taylor

Posted on September 26, 2018

La serie di Taylor è un utilissimo strumento matematico ma a volte difficile da comprendere per gli studenti. In questo blog, ne darò una breve descrizione dando qualche esempio di applicazione. Chi è il signor Taylor? Brook Taylor (1685 – … Continue reading →

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The Taylor Series

Posted on August 4, 2018

The Taylor series is a mathematical tool that, sometimes, it is not easy to immediately grasp by freshman students. In this blog, I will give a short review of it giving some examples of applications. Who is Mr. Taylor? Brook … Continue reading →

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Modeling Natural Shapes: Sunflowers Florets and the Golden Ratio

Posted on July 11, 2018

Il girasole piega a occidente e già precipita il giorno nel suo occhio in rovina …  from the poem  “Quasi un madrigale” by Salvatore Quasimodo.  

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