Varia Addenda

Medical Addenda

This book can be read with interest by physicians, psychologists, and educators. It is not a comprehensive treatise on brain injuries occurring in children nor is it intended to be. It deals rather with "the particular mental make-up of braininjured children and the resulting need for special educational techniques." The work is divided into two sections. The first deals with the psychopatholog...

Pontificiae Academiae Scientiarvm Scripta Varia

Addenda to “foundations of Garside Theory”

This text consists of additions to the book “Foundations of Garside Theory”, EMS Tracts in Mathematics, vol. 22 (2015)—see introduction and table of contents in arXiv:1309.0796—namely skipped proofs and solutions to selected exercises.

Some addenda on distance function wavelets

This report will add some supplements to the recently finished report series on the distance function wavelets (DFW). First, we define the general distance in terms of the Riesz potential, and then, the distance function Abel wavelets are derived via the fractional integral and Laplacian. Second, the DFW Weyl transform is found to be a shifted Laplace potential DFW. The DFW Radon transform is a...

Addenda and Errata: on Nondegeneracy of Curves

(1) Beginning of Section 5: We write that every genus g hyperelliptic curve over a perfect field k is birationally equivalent (over k) to a curve of the form y + q(x)y = p(x) where p(x), q(x) ∈ k[x] satisfy 2 deg q(x) ≤ deg p(x) and deg p(x) ∈ {2g + 1, 2g + 2}. This is false for (and only for) k = F2. Namely, this will fail for any hyperelliptic curve C over k = F2 for which the degree 2 morphi...