for applications in the natural sciences. We determine an orthogonal family of strictly bandlimited functions that are optimally concentrated within a closed region of the plane, or, alternatively, of strictly spacelimited functions that are optimally concentrated in the Fourier...
while CACE is somewhere between them and ACE. We then compared the dihedral potential energy surface of the molecule. Figure4shows the complex energy landscapes of theα-γplane predicted by DFT and by CACE, for the case ofβ = 120∘, the plane with the fewest training points. Nevert...
of The the exponential instability manifests plane (ΛβH, ΛGα). For this reason, provided the real part of λαβ gets positive we shall solely concentrate on the largest over root λGH (ΛGα, ΛβH ) = P (ΛGα, ΛβH ) + P 2 (ΛGα, ΛβH) − 4Q (ΛGα,...
2 Let G be a simple graph. We say G has reflective symmetry if it is invariant un- der the reflection across some straight line or plane l (the symmetry plane or axis) (see Ciucu’s paper [2]). Ciucu [2] gave a matching factorization theorem of the number of per- ...
A Feature Paper should be a substantial original Article that involves several techniques or approaches, provides an outlook for future research directions and describes possible research applications. Feature papers are submitted upon individual invitation or recommendation by the scientific editors and ...