THE ECHELON SPECTROSCOPE

Scanning Tunneling Spectroscope Use in Electrocatalysis Testing

The relationship between the electrocatalytic properties of an electrode and its ability to transfer electrons between the electrode and a metallic tip in a scanning tunneling microscope (STM) is investigated. The alkaline oxygen evolution reaction (OER) was used as a test reaction with four different metallic glasses, Ni78Si8B14, Ni70Mo20Si5B5, Ni58Co20Si10B12, and Ni25Co50Si15B10, as electrod...

Echelon analysis

Echelon Form

In this work we present the formalization of an algorithm to compute the Echelon Form of a matrix. We have proved its existence over Bezout domains and we have made it executable over Euclidean domains, such as Z and K[x]. This allows us to compute determinants, inverses and characteristic polynomials of matrices. The work is based on the HOL-Multivariate Analysis library, and on both the Gauss...

Recognizing brain activities by functional near-infrared spectroscope signal analysis

BACKGROUND Functional Near-Infrared Spectroscope (fNIRs) is one of the latest technologies which utilize light in the near-infrared range to determine brain activities. Near-infrared technology allows design of safe, portable, wearable, non-invasive and wireless qualities monitoring systems. This indicates that fNIRs signal monitoring of brain hemodynamics can be value in helping to understand ...

Echelon Spaces of Order »

The notion of Echelon spaces was introduced by Köthe [2] as a means of constructing sequence spaces by taking the intersection of multiples of I1 (see below for definitions). The definition was extended by Dieudonné and Gomes [l] to include lp for \^p< °o. It is the purpose of this note to consider the case, p = co. AH of the terminology defined below is due to Köthe. A sequence of complex numb...