In computational chemistry, distributed multipole analysis (DMA) is a compact and accurate way of describing the spatial distribution of electric charge within a molecule.
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In computational chemistry, distributedmultipoleanalysis (DMA) is a compact and accurate way of describing the spatial distribution of electric charge...
employed include simulated annealing, evolutionary algorithms, distributedmultipoleanalysis, random sampling, basin-hopping, data mining, density functional...
Dimethylacetamide, an organic solvent Dimethylamine Dimethylaniline Distributedmultipoleanalysis, a method describing the charge distribution of a molecule Dimethylarsinic...
The fast multipole method (FMM) is a numerical technique that was developed to speed up the calculation of long-ranged forces in the n-body problem. It...
Górski, K. M.; Lilje, P. B. (2005). "Multipole vector anomalies in the first-year WMAP data: a cut-sky analysis". Astrophysical Journal. 635 (2): 750–60...
Theoretically, an electric dipole is defined by the first-order term of the multipole expansion; it consists of two equal and opposite charges that are infinitesimally...
grow quite linearly with the problem size. Compression techniques (e.g. multipole expansions or adaptive cross approximation/hierarchical matrices) can...
electronic components, as opposed to distributed-element filters. That is, using components and interconnections that, in analysis, can be considered to exist...
uses the computed solution to refine the mesh only where necessary Fast multipole method — hierarchical method for evaluating particle-particle interactions...
communication requirements for parallel computing with the help of a fast multipole method. A wavelet-based approximate FFT by Guo and Burrus (1996) takes...
monopole. Higher derivatives of the delta function are known in physics as multipoles. Higher derivatives enter into mathematics naturally as the building blocks...
order O(n log n) instead of O(n2) as in a direct-sum simulation. Fast multipole method (FMM): speeds up the calculation of long-ranged forces Rainflow-counting...
sphere around the microphone; formally the first-order truncation of the multipole expansion. W {\displaystyle W} (the mono signal) is the zero-order information...
the chances of interaction where the two beams cross. Magnets of higher multipole orders are used to correct smaller imperfections in the field geometry...
Alexander; Liedl, Klaus R. (2014). "Charge Anisotropy: Where Atomic Multipoles Matter Most". Journal of Chemical Theory and Computation. 10 (10): 4488–4496...
{\displaystyle T} in O ( m 2 ) {\displaystyle O(m^{2})} operations. The Fast Multipole Method can compute all eigenvalues in just O ( m log m ) {\displaystyle...
derivative of the quadrupole moment (or the l-th time derivative of the l-th multipole moment) of an isolated system's stress–energy tensor must be non-zero...
Piet Hut for fast approximate simulation of n-body problems 1987 – Fast multipole method developed by Leslie Greengard and Vladimir Rokhlin 1988 – Special...
in problems involving spherical wave propagation, for example in the multipole expansion of the electromagnetic field. Riccati–Bessel functions only...
to deal with long-range force include: Barnes–Hut simulation, the fast multipole method. Following the work by Munjiza and Owen, the combined finite-discrete...
muscle paralysis" in patients of all ages. In the 1980s, "sequential multipole stimulation" was developed in Tampere, Finland. This technology was commercialized...
Lexing; Zorin, Denis (May 2012). "A Massively Parallel Adaptive Fast Multipole Method on Heterogeneous Architectures". Communications of the ACM. 55...
turning, spending much time there, leading to high conduction losses. The multipole ion-beam experiment (MIX) accelerated ions and electrons into a negatively...
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