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8 papers · 1 filter
Characterizations of function spaces on the sphere using frames
Feng Dai
In this paper we introduce a polynomial frame on the unit sphere $\sph$ of , for which every distribution has a wavelet-type decomposition. More importantly, we prove…
Approximation of smooth functions on compact two-point homogeneous spaces
Gavin Brown, Feng Dai
Estimates of Kolmogorov -widths and linear -widths $\da_n(B_p^r, L^q)$, () of Sobolev's classes , (, ) o…
Enhancing Global SLS-Resolution with Loop Cutting and Tabling Mechanisms
Yi-Dong Shen, Jia-Huai You, Li-Yan Yuan
Global SLS-resolution is a well-known procedural semantics for top-down computation of queries under the well-founded model. It inherits from SLDNF-resolution the {\em linearity} p…
Complete two-loop correction to the bound-electron g factor
Krzysztof Pachucki, Andrzej Czarnecki, Ulrich D. Jentschura +1
Within a systematic approach based on the dimensionally regularized nonrelativistic quantum electrodynamics, we derive the complete result for the two-loop correction to order $(α/…
Transitions in Microtubule C-termini conformations as a possible Dendritic signaling phenomenon
Avner Priel, Jack A. Tuszynski, Nancy J. Woolf
We model the dynamical states of the C-termini of tubulin dimers that comprise neuronal microtubules. We use molecular dynamics and other computational tools to explore the time-de…
A nonlocal continuum model for biological aggregation
Chad M. Topaz, Andrea L. Bertozzi, Mark A. Lewis
We construct a continuum model for biological aggregations in which individuals experience long-range social attraction and short range dispersal. For the case of one spatial dimen…