Essays: Math, Science and other things by Andy De Paoli

These are in PDF format and require Adobe Acrobat Reader.
Recursive formula for the "components" of a hyper-cube

Starting from considerationss regarding the "components" of cubes in various dimensions we find a recursive formula which, incidentally, when generalized gives Euler's formula up to 3-d space and also establishes and analog of the formula for other spaces as well.

Hasse diagrams and n-dimensional space

With a few modiffications to the rules for drawing Hasse diagrams for divisors we have a set of rules which allow one to draw the projection of n-dimensional prisms onto a plane.

La formazione delle strutture

Un articolo per un esame di astrofisica sulla teoria inflazionaria. (On inflationary theory for an astrophysics exam.)

A few considerations on the 3n+1 (or Collatz) problem

This is an ongoing paper, I will include some details developed using Mathematica in the next version.

Implications of the Copernican principle for SETI

This was a letter I sent to several journals a number of years back.

Fourier Series

Just some notes

Elaborazione immagini in Fortran

Una breve descrizione di un programma in Fortran per "Image Processing" per un esame di astronomia

Il racconto del più e del meno

L'inizio di un racconto sulla matematica per ragazzi

Example of Nonlinear Dynamics

A short description of a non linear example, with code for a C program

Orders of Magnitude

A set of descriptions of orders of magnitude, not anywhere near as nice as the Powers of Ten, but the idea is to give references to things we can visualize to get an idea of numbers related to them, maybe size, mass or time

La biologia ci aiuta a capire le sette?

Un primo articolo sulla base delle scienze cognitive per capire le sette fomdamentaliste e il fanaticismo.

Doveling

A children's story I wrote for the daughter of a friend of mine.

D'oreade alpina, A Lane Dewdrop, I

These are some poems, mainly in English and Italia (some are translations), and though it is rather long I hope someone may find them worthwhile the reading.

Twinkle, Glimm, Scintillina

This is another story for children, Twinkle (English) then translated into German (Glimm) and Italian (Scintillina)

Riflessioni sulla Religione

In Italian, a letter to a religious friend, on why I cannot accept his beliefs.

For A Rational Ethics

Notes for an article on a rational ethics, undergoing extensive revision aimed at publication

Hickory Book A short English course and notes, used and undergoing revision.
Appunti per un corso di inglese.

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