For the smooth surface M, the explicit construction of local flattening map p is given, where
the bijection projection p is the local flattening map from a smooth surface M to a plane. By …

Arturo. Tozzi@ unt. edu Geometry deals both with analogical thinking and
physical/biological observables. Naïve, common-sense descriptions of objects' shapes and …

Physical and biological measurements might display range values extending towards
infinite. The occurrence of infinity in equations, such as the black hole singularities, is a …

In a first part, we review the general theory of coherent states (CS). Starting from the
canonical CS introduced by Schrödinger in 1926 and rediscovered by Glauber, Klauder and …

In the central spirit of harmonic analysis lies the concept of effectively decomposing,
analyzing and representing functions or functionals. It has lead to the flourish of Fourier …

Physical and biological measurements might display range values extending towards
infinite. The occurrence of infinity in equations, such as the black hole singularities, is a …

Physical measurements might display range values extending towards infinite. The
occurrence of infinity in physical equations, such as the black hole singularities, is a …

1 ALEXANDER HORNED SPHERE: A TOROIDAL PHASE SPACE FOR BOTH LINEAR AND
NONLINEAR DYNAMICS Arturo Tozzi Center for Nonlinear Scien Page 1 1 ALEXANDER …

We review the general properties of the wavelet transform, both in its continuous and its
discrete versions, in one or two dimensions, and we describe some of its applications in …

In this paper, it mainly introduces the study of wavelet analysis which is applied in the
blasting vibration signal. Two methods, namely, decomposition and reconstruction of forcing …