Notes on Mário de Andrade’s Marginalia to Ulysses

ON THE GENERAL PROPERTIES OF MATTER, by Mário Everaldo de

Notes on de Sitter space

The Lorentz n–group is the group of “isometries” (transformations preserving the inner product) of Minkowski space, fixing 0, and preserving the time direction. This implies that a Lorentz transformation is an linear isomorphism of Rn as a vector space. If, in addition to preserving the time direction, we also preserve space orientation then the group can be denoted SO(1, n − 1). Notice that a ...

Marginalia to a Theorem of Jacopini

The copyright law of the United States (title 17, U.S. Code) governs the making of photocopies or other reproductions of copyrighted material. Any copying of this document without permission of its author may be prohibited by law. INTRODUCTION In this note we consider the problem of whether a combinator P can consistently (in most cases with beta conversion) be assumed to satisfy the functional...

Marginalia on the Topic of Identity

Thucydides, citing Pericles’ speech in praise of the soldiers who fell at the beginning of the Peloponnesian War, presented an exceptionally revealing description of national identity, through the essence of Athenian social institutions. Now, nearly two and a half millennia later, it is difficult to be more eloquent and clear. My topic, however, is altogether a different matter – genes. I would...

Lecture Notes on De Rham–Hodge Theory

These are lecture notes for a 1–semester undergraduate course (in mathematics, physics, engineering, chemistry or biology) on the De Rham–Hodge theory. This landmark theory of the 20th Century mathematics gives a rigorous foundation to modern field and gauge theories in physics, engineering and physiology. The only necessary background for comprehensive reading of these notes is Green’s theorem...