Transformations involving 6-ring transitional intermediates

Deconvolution When Classifying Noisy Data Involving Transformations.

In the present study, we consider the problem of classifying spatial data distorted by a linear transformation or convolution and contaminated by additive random noise. In this setting, we show that classifier performance can be improved if we carefully invert the data before the classifier is applied. However, the inverse transformation is not constructed so as to recover the original signal, ...

Photochemical Transformations Involving Porphyrins and Phthalocyanines

2 1. Introduction Photochemistry of the porphyrins and their relatives has been largely inspired by photosynthetic processes in nature. As a result of this, most current studies generally utilize the chemistry of magnesium and zinc porphyrin analogues. Especially, magnesium tetrapyrrole chelates, i.e. magnesium porphyrins and phthalocyanines have found wide interest. This is primarily related t...

2.1.1 Conformal Transformations......................... 6

The 6-ring

The 6-ring is a tubular surface of genus 13, obtained by gluing together twenty-four 12-gons which follows the regularity of the map R13.2′{12,3}. It is constructed from six rings of two Borromean rings, has the twenty-four elements of an oriented cube and matches nicely with the 6-coloring of R13.2′{12,3}. The 6-ring has minimal twists and geometrically equivalent sets of four 12-gons. We expl...

Functionalization of the corrole ring: the role of isocorrole intermediates.

Bromination of 3-nitro-5,10,15-triarylcorrole selectively provides two regioisomers, depending on the reaction pathway. An isocorrole species is the key intermediate to drive the reaction towards the 2-Br-17-nitro regioisomer.