Notes on Three Sonnets Attributed to Francisco de Figueroa

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 ...

04 Figueroa et al.indd

Address correspondence to: Luz D. Figueroa, MD, Department of Dermatology, School of Medicine, University of Puerto Rico Medical Sciences Campus; PO BOX 365067, San Juan, Puerto Rico 00936-5067. Email: [email protected] Objective: The incidence of nonmelanoma skin cancer (NMSC) is increasing rapidly worldwide. As NMSC incidence increases, the modalities to treat this condition have beco...

Notes on Three Pathological Specimens

16 Figueroa Torres.indd

*Puerto Rico Central Cancer Registry, Cancer Control and Population Sciences Program, University of Puerto Rico Comprehensive Cancer Center, San Juan, PR, †Cancer Control and Population Sciences Program, University of Puerto Rico Comprehensive Cancer Center, San Juan, PR, ‡UPR-MDACC Partnership for Excellence in Cancer Research Program, Medical Sciences Campus, University of Puerto Rico, San Ju...

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...