A 45-year-old man presented with multiple ulcerated and erythematous nodules on his scalp. The first lesion appeared on his vertex as an erythematous plaque five years ago and there was gradual increase in size and number of the lesions ever since. He was otherwise healthy. Physical examination showed multiple erythematous nodules, some were crusted, on the vertex (Fig.1). No lymphadenopathy wa...

Let $K$ be a totally real number field of degree $n \geq 2$. The inverse different gives rise to lattice in $\mathbb{R}^n$. We prove that the space Schwartz Fourier eigenfunctions on $\mathbb{R}^n$ which vanish “component-wise square root” this lattice, is infinite dimensional. non-uniqueness set thus obtained discrete subset union all spheres $\sqrt{m}S^{n-1}$ for integers $m 0$ and, as \right...

Atom-resolved real-time studies of kinetic processes in proteins have been hampered in the past by the lack of experimental techniques that yield sufficient temporal and atomic resolution. Here we present band-selective optimized flip-angle short transient (SOFAST) real-time 2D NMR spectroscopy, a method that allows simultaneous observation of reaction kinetics for a large number of nuclear sit...