La Serie​ di Taylor

La serie di Taylor è un utilissimo strumento matematico. In questo blog, ne darò una breve descrizione dando qualche esempio di applicazione.

Chi è il signor Taylor?

Brook Taylor (1685 – 1731) era un matematico britannico del XVII secolo che ha dimostrato la formula che porta il suo nome, e l’argomento di questo blog, nel volume Methodus Incrementorum Directa et Inversa (1715). Maggiori informazioni si possono trovare nella corrispondente pagina della wikipedia.

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Platonic Solid and Chemistry: the Icosahedral Boron Clusters

Boron is the fifth element in the periodic table. It is also the first element of the boron group or the group thirteenth of the periodic table. It is a metalloid element, meaning its properties are between a metal and a nonmetal. The chemical symbol for boron is B, which has an atomic weight of 10.81 grams per mole.

The position of the Boron element in the periodic table. Figure generated using Mendeleev’s Dream program.

In its ground state, a boron atom contains five electrons arranged in two energy levels. The first energy level, or shell, can hold up to two electrons, while the second can hold up to eight. However, boron has three valence electrons, meaning only the first two energy levels are filled, leaving the third energy level partially empty.

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The Almighty​ Curcumin

Curcumin is a polyphenol derived from the root of turmeric (Curcuma longa) that it is widely used as a dietary spice and natural food colouring agent throughout the world.

Figure 1: Turmeric plant. source: Franz Eugen Köhler, Köhler’s Medizinal-Pflanzen
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