Axial Injection into a Multipole Guide Field

Resolving a distribution of charge into intrinsic multipole moments: a rankwise distributed multipole analysis.

We present a method for the rankwise distributed multipole analysis of an arbitrary distribution of charge and its surrounding field. Using the superposition principle, the electrostatic field created by a distribution of charge can be resolved recursively into the contributions of a set of intrinsic multipole moments "tied to" their rank-specific multipole centers. The positions of the multipo...

A unified coarse-grained model of biological macromolecules based on mean-field multipole–multipole interactions

A unified coarse-grained model of three major classes of biological molecules--proteins, nucleic acids, and polysaccharides--has been developed. It is based on the observations that the repeated units of biopolymers (peptide groups, nucleic acid bases, sugar rings) are highly polar and their charge distributions can be represented crudely as point multipoles. The model is an extension of the un...

Multilevel Fast Multipole Algorithmfor Solving Combined Field

The fast multipole method (FMM) has been implemented to speed up the matrix-vector multiply when an iterative method is used to solve combined eld integral equation (CFIE). FMM reduces the complexity from O(N 2) to O(N 1:5). With a multilevel fast multipole algorithm (MLFMA), it is further reduced to O(NlogN). A 110,592 unknown problem can be solved within 24 hours on a SUN Sparc10.

Embodied Cognition: A field guide

The nature of cognition is being re-considered. Instead of emphasizing formal operations on abstract symbols, the new approach foregrounds the fact that cognition is, rather, a situated activity, and suggests that thinking beings ought therefore be considered first and foremost as acting beings. The essay reviews recent work in Embodied Cognition, provides a concise guide to its principles, att...

ERDAS Field Guide