DOSEN PROFIL LENGKAP

A multipole expansion is a mathematical series representing a function that depends on angles—usually the two angles used in the spherical coordinate...

Multipole radiation is a theoretical framework for the description of electromagnetic or gravitational radiation from time-dependent distributions of...

classified by their multipolarity. There are two kinds: electric and magnetic multipole radiation. Each of these, being electromagnetic radiation, consists of...

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...

in the multipole expansion of the electromagnetic field which is distinct from magnetic and electric multipoles. In the electrostatic multipole expansion...

boundary with the constellation Leo. The CMB dipole and aberration at higher multipoles have been measured, consistent with galactic motion. Despite the very...

gravitational mass that can exist in ideal form, but it is usually just part of a multipole expansion of a more complex structure reflecting various orders of complexity...

sources using another type of multipole, which generalize the Weyl moments to mass multipole moments and momentum multipole moments, characterizing respectively...

Multipole magnets are magnets built from multiple individual magnets, typically used to control beams of charged particles. Each type of magnet serves...

In physics, spherical multipole moments are the coefficients in a series expansion of a potential that varies inversely with the distance R to a source...

The Multipole Density Formalism (also referred to as Hansen-Coppens Formalism) is an X-ray crystallography method of electron density modelling proposed...

recursively. The generating function approach is directly connected to the multipole expansion in electrostatics, as explained below, and is how the polynomials...

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...

more complete treatment may be found in pages describing multipole expansion or spherical multipole moments. (The convention in the above equations was taken...

ordering constituted by high rank multipoles, e.g. quadruple, octuple, etc. Due to the strong spin-orbit coupling, multipoles are automatically introduced...

Axial multipole moments are a series expansion of the electric potential of a charge distribution localized close to the origin along one Cartesian axis...

computer scientist. He is co-inventor with Vladimir Rokhlin Jr. of the fast multipole method (FMM) in 1987, recognized as one of the top-ten algorithms of the...

accelerators today use the strong-focusing principle. Modern systems often use multipole magnets, such as quadrupole and sextupole magnets, to focus the beam down...

relativistic bodies, including the influence of the coupling of their multipole moments to the spacetime curvature of nearby objects, as well as writing...

magnetic moment Monopole Solid harmonics Axial multipole moments Cylindrical multipole moments Spherical multipole moments Laplace expansion Molecular solid...

In computational chemistry, distributed multipole analysis (DMA) is a compact and accurate way of describing the spatial distribution of electric charge...

anapole. The dynamic toroidal multipoles were theoretically introduced in the 1970s in the context of a complete multipole expansion in electrodynamics...

surface charge density. This formulation is naturally combined with fast multipole method (FMM) acceleration, and the entire method is known as charge-based...

particular multipole in the scattering spectrum. They can also be explained as destructive interference of a "cartesian multipole" and a "toroidal multipole"....

In classical mechanics, the gravitational potential is a scalar potential associating with each point in space the work (energy transferred) per unit mass...

Cylindrical multipole moments are the coefficients in a series expansion of a potential that varies logarithmically with the distance to a source, i.e...

The multilevel fast multipole method (MLFMM) is used along with method of moments (MoM) a numerical computational method of solving linear partial differential...

one when using spherical coordinates, so that a vector field admits a multipole expansion E = ∑ ℓ = 0 ∞ ∑ m = − ℓ ℓ ( E ℓ m r ( r ) Y ℓ m + E ℓ m ( 1...

alike. If the potential varies weakly over the charge distribution, the multipole expansion converges fast, so only a few first terms give an accurate approximation...

large particle centered at the cell's center of mass (or as a low-order multipole expansion). This can dramatically reduce the number of particle pair interactions...

hot-plugs at full load.[citation needed] Larger Powerpole connectors (the SB/Multipole series) with two or three contacts in one molded housing are commonly...

electronic energy levels of atoms, molecules, and ions, due to electromagnetic multipole interaction between the nucleus and electron clouds. In atoms, hyperfine...

charge distribution The first order term (or the second term) of the multipole expansion of a function The dielectric constant of a solvent; the measure...

nucleons wavefunction inside the deuterium. Higher magnetic and electric multipole moments cannot be calculated by the above model, for similar reasons....

magnets consist of a group of four magnets laid out so that in the planar multipole expansion of the field, the dipole terms cancel and where the lowest significant...

sphere. The solution takes the form of an infinite series of spherical multipole partial waves. It is named after German physicist Gustav Mie. The term...

is the attractive interaction between a permanent multipole on one molecule with an induced multipole on another. This interaction is sometimes called...

Yale University. He is the co-inventor with Leslie Greengard of the fast multipole method (FMM) in 1985, recognised as one of the top-ten algorithms of the...

and the multipole windings for accurate position. Two-pole resolvers can usually reach angular accuracy up to about ±5′, whereas a multipole resolver...

stronger shear resistance. The programmable behavior is achieved by creating multipole structures comprising multiple magnetic elements of varying size, location...

the corresponding magnetic multipole fields, and aE(l, m) and aM(l, m) are the coefficients of the expansion. The multipole fields are given by B l , m...

Charge based boundary element fast multipole method. FMM can also be used to accelerate MoM. While the fast multipole method is useful for accelerating...

has a primary beam of 4.5 degrees, and a resolution of 30 arcminutes (multipoles between 100 and 800), while the extended array has a primary beam of 2...

function, or more generally even directional derivatives of delta functions (multipoles) spread out along subsets of M. Let Ω c m ( M ) {\displaystyle \Omega...

the initial and final states makes several multipole radiations possible, usually the lowest-order multipoles are overwhelmingly more likely, and dominate...

bonds arise from a combination of electrostatics (multipole-multipole and multipole-induced multipole interactions), covalency (charge transfer by orbital...

be bonded with one another. A chemical bond may be visualized as the multipole balance between the positive charges in the nuclei and the negative charges...

employed include simulated annealing, evolutionary algorithms, distributed multipole analysis, random sampling, basin-hopping, data mining, density functional...

Robert G.; Schlegel, Eric M. (2013). "CMB dipoles and other low-order multipoles in the quasispherical Szekeres model". Physical Review D. 87 (2) 023524...

expansion is known as the multipole expansion because the terms in this series can be regarded as energies of two interacting multipoles, one on each monomer...

2026 April Fools' Day paper in the American Journal of Physics discusses multipole approximations of the cow's gravitational potential and surface shape...

between fields which involves only the charge distribution and not higher multipole moments of the charge distribution. This minimal coupling is in contrast...

ordinary dipole configuration to higher order multipole configurations. The field external to a multipole decays more rapidly with the distance from the...

known in electrostatics since the time of Maxwell and associated with multipole moments. In physics, dipole and quadrupole moments typically appear because...

within an arm's length of its antenna. The near field is governed by multipole type fields, which can be considered as collections of dipoles with a...

these terms can be present in the multipole expansion of an electric field, for example. However, in the multipole expansion of a magnetic field, the...

field) of the associated adjoint bundle Monopole, the first term in a multipole expansion Monopole (wine), an appellation owned by only one winery Monopole...

A diagram of how a gridded electrostatic ion engine (multipole magnetic cusp type) works...

electromagnetic Lagrangian. Materials on transition and collision radiation and multipole fields were modified. A total of 117 new problems were added. While the...

applied to electrons which also have a spin. See Stern–Gerlach experiment. Multipoles beyond the quadrupole can correct for spherical aberration and in particle...

system's magnetic dipole moment, which produces the first term in the multipole expansion of a general magnetic field. Both the torque and force exerted...

cosmic background temperature multipoles are bounded in terms of the multipoles themselves. The derivatives of the multipoles are not directly accessible...

axially symmetric multipole moments with no component along the wire direction; as the length of the wire is increased, higher multipole contributions become...

switching, double cutting, or double breaking is the practice of using a multipole switch to close or open both the positive and negative sides of a DC electrical...

the chances of interaction where the two beams cross. Magnets of higher multipole orders are used to correct smaller imperfections in the field geometry...

separators typically consist of a series of superconducting magnetic multipole elements. The thin target immediately before the separator allows the...

communication requirements for parallel computing with the help of a fast multipole method. A wavelet-based approximate FFT by Guo and Burrus (1996) takes...

Reactors nea-1200 ELEORBIT, 3-D Simulation of Electron Orbits in Magnetic Multipole Plasma Source nea-0490 HEDO-2, Magnetic Field Calculation and Plot of...

for long enough. The curvature of the universe can be measured through multipole moments in the spectrum of the cosmic background radiation. To date, analysis...

2000-2008. The ACBAR 145 GHz measurements were the most precise high multipole measurements of the CMB at the time. Cosmic microwave background experiments...

theoretical and practical applications, including the representation of multipole electrostatic and electromagnetic fields, electron configurations, gravitational...

flow is taking place). Bader's analysis allows many properties such as multipole moments, energies and forces, to be partitioned in a defensible and consistent...

be fully described by the distributed charges, dipoles, and high-order multipoles interacting with solvent electric potential and its gradients, it was...

and its diamagnetic nature keeps it from interfering with the complex multipole magnet systems used to steer and focus the particle beams. Because of...

of the currents involved. Conventionally, the derivation starts from a multipole expansion of the vector potential. This leads to the definition of the...

Xantheas, Sotiris S.; Jónsson, Hannes (15 September 1998). "Molecular multipole moments of water molecules in ice Ih". The Journal of Chemical Physics...

1970s, he proposed a permanent magnet array configuration for obtaining multipole magnetic fields; this configuration, known as Halbach array, is widely...

through an evolutionary improvement from a single bipolar field to a later multipole design. Bipolar generators were universal prior to 1890 but in the years...

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...

battery packs use a variety of connectors, including the Anderson Powerpole MultiPole series (as used by Tripp Lite), which are color-coded and keyed for specific...

Dimethylacetamide, an organic solvent Dimethylamine Dimethylaniline Distributed multipole analysis, a method to describe the charge distribution of a molecule Dimethylarsinic...

which use [magnetoresistance]. Because the target wheel is an active, multipole magnet, air gaps can be even larger, up to 4.0 mm. Because magnetoresistive...

Maxwell Prize (1997) Donald W. Kerst invention of the levitated toroidal multipole Maxwell Prize (1984) Shaukat Hameed Khan laser isotope separation, Chief...

choices are encoded into a 3-bit binary output. 2) a rotary version of a multipole slide switch where one signal has a choice between multiple connections...

Part 2-103: Circular connectors - Detail specification for a range of multipole connectors (type 'XLR')". International Electrotechnical Commission. 3...

dipoles, quadrupoles (all molecules with symmetry lower than cubic), and multipoles. It is termed the Keesom interaction, named after Willem Hendrik Keesom...

neutron only for an electric quadrupole (− + + −) arrangement. Higher multipoles, needed to satisfy more protons, cause weaker attraction, and quickly...

in problems involving spherical wave propagation, for example in the multipole expansion of the electromagnetic field. Riccati–Bessel functions only...

electric-dipole approximation, which neglects the signal generated by multipoles and magnetic moments. At an interface between two different materials...

is exactly the field of a point dipole, exactly the dipole term in the multipole expansion of an arbitrary field, and approximately the field of any dipole-like...

than approximately 3 megaparsecs. This angular scale corresponds to a multipole moment l ≳ 800 {\displaystyle {\mathit {l}}\gtrsim 800} . The mass contained...

methods and later hierarchical matrices, a concept generalizing the fast multipole method. He was a professor at the University of Kiel and is currently...

with the problem size.[citation needed] Compression techniques (e.g. multipole expansions or adaptive cross approximation/hierarchical matrices) can...

monopole. Higher derivatives of the delta function are known in physics as multipoles. Higher derivatives enter into mathematics naturally as the building blocks...

calculations leads to show the generalisation of Faxen's theorem to force multipole moments of arbitrary order. In a sphere moving in an incompressible fluid...

NYU Courant Institute of Mathematical Sciences; inventor of the fast multipole method Marshall Hall (B.A. 1932), mathematician, who made significant...

above result gets modified by the multipole moments of the gravitational field of the secondary, with higher order multipole moments showing up at higher order...

fluctuations in density may be treated more efficiently with the fast multipole method of Greengard and Rokhlin. The electrostatic energy of a polar crystal...

Andrew Hamilton, Tegmark reported in 2003 the discovery of the anomalous multipole alignment in the WMAP data, sometimes referred to as the "axis of evil"...

Efficient collision detection in three dimensions View frustum culling Fast multipole method Unstructured grid Finite element analysis Sparse voxel octree State...

the multipole design. While moderately successful on their own, T-3 greatly outperformed either machine. Bishop was concerned that the multipoles were...

of Protein Helices Reconciled with Three-Centered Hydrogen Bonds and Multipole Electrostatics". PLOS ONE. 10 (4) e0123146. Bibcode:2015PLoSO..1023146K...

crystallographic point groups, the inclusion of higher order moments, i.e. multipole moments of the charge density might be required. It is shown by electrostatics...

in ϵ {\displaystyle \epsilon } were kept. For example calculating the multipole expansion. Griffiths, D. (1999). Introduction to Electrodynamics (Third ed...

flows, presented during the workshop. Petit wrote about a large and long multipole wall MHD converter on the upper flat surface of the aircraft in contact...

Düsseldorf: VDI Verlag. Jakobus, U.; Van Tonder, J.J. (2005), "Fast Multipole Solution of Metallic and Dielectric Scattering Problems in FEKO", 21st...

element method (FEM), transmission line matrix (TLM), multilevel fast multipole method (MLFMM) and particle-in-cell (PIC), as well as multiphysics solvers...

in 2022) Quadrupole theory (stability, acceptance and transmission of multipole RF and electrostatic driven devises), molecular gas dynamics, and supersonic...

vol. 8, no. 3, pp. 477– 481, May 2011. Haynes, M., and M. Moghaddam, “Multipole and S-parameter based antenna model,” IEEE Trans. Antennas Propagat.,...

gravitational potential of a rotating body such as a planet can be expanded in multipoles to account for the departure from spherical symmetry. From the point of...

wavemoti.2011.02.001. Gong, Z.; Marston, P. L.; Li, W.; Chai, Y. (2017). "Multipole expansion of acoustical Bessel beams with arbitrary order and location"...

expansion of the underlying electrostatics, e.g., the SCME (Single Center Multipole Expansion) model The computational cost of a water simulation increases...

microphone These are the constant (W) and linear (X, Y, Z) terms in the multipole expansion of a function on the sphere – in effect, it approximates the...

set of contracted Gaussian functions, as opposed to the previously used multipole expansion. Note that the NDDO approximation is still in effect, and that...

regarding the reproducibility of published results. While models based on the multipole expansion of the charge distribution of a molecule are limited to small...

turboprop installed in the nose. Yak-40 Meteo – Military conversion with multipole dipole antennas and fuselage dispenser. Yak-40P – Yak-40L with large nacelles...

force fields are being developed to utilise multipole moments, as opposed to point charges, given that multipole moments can reflect the charge anisotropy...

of the Wilkinson Microwave Anisotropy Probe power spectrum data at low multipoles". The Astrophysical Journal. 714 (2): L265–L267. arXiv:1001.4613. Bibcode:2010ApJ...

ISSN 0375-9601. Hobbs, G. D.; Taylor, J. B. (1968). "Plasma diffusion in multipoles". Plasma Physics. 10 (3): 207–212. Bibcode:1968PlPh...10..207H. doi:10...

algorithm Phylogenetic tree Molecular dynamics Finite element method Fast multipole method P (complexity) NP (complexity) NP-completeness NP-hardness EXPTIME...

performance, parallelized, open source Method of Moments / Multilevel Fast Multipole Method electromagnetics code Radar Cross Section Reduction Course A GA...

particle centered at the distant cell's center of mass (or as a low-order multipole expansion). This can dramatically reduce the number of particle pair interactions...

equations. The solution contains a singularity in the shape of a ring. The multipole structure of the solution suggests that the solution represents the field...

Retrieved 20 March 2018. M. Broz, B. Yang (September 2021). "An advanced multipole model for (216) Kleopatra triple system". Astronomy & Astrophysics. 653:...

contributions to transition rates are given by higher electric and magnetic multipole transitions. One way of modelling and understanding the effect of light...

sphere around the microphone; formally the first-order truncation of the multipole expansion. W {\displaystyle W} (the mono signal) is the zero-order information...

Section 7.6.12 Podolský, J. & Griffiths, J. B. (1998). "Boosted static multipole particles as sources of impulsive gravitational waves" (PDF). Phys. Rev...

1103/PhysRevD.59.083506. S2CID 119444449. Thorne, Kip S. (1980-04-01). "Multipole expansions of gravitational radiation" (PDF). Reviews of Modern Physics...

Piet Hut for fast approximate simulation of n-body problems 1987 – Fast multipole method developed by Leslie Greengard and Vladimir Rokhlin 1988 – Special...

nanosieves. In this theory, the combination of coupled-mode theory and multipole expansion method is used to give an analytical model, which can facilitate...

{\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...

minimum. Such a minimum can be created by a combination of mirror and multipole fields. Antihydrogen can be trapped in such a magnetic minimum (minimum-B)...

Electromagnetic Scattering Problems Based on Discrete Sources Method". Generalized Multipole Techniques for Electromagnetic and Light Scattering. pp. 39–80. doi:10...

high-field cylinders. Both brushless motors and coupling devices use multipole field arrangements: Brushless motors or alternators typically use cylindrical...

Earth's orbit. The heliospheric current sheet results in higher order multipole components so that the actual magnetic field at the Earth due to the Sun...

polar moments within molecules. Multipoles could account for attraction between molecules having permanent multipole moments that participate in electrostatic...

an all-to-all communication. A attractive PME alternative are the fast multipole methods (FMM), which are not affected by an increase in parallelization...

Ambisonics was first invented in the 1970s. When dealing with subsets of the multipole expansion, the base ordering of the components (according to whatever...

{\textstyle r^{d/2-1}} ). If a two-dimensional function f(r) is expanded in a multipole series, f ( r , θ ) = ∑ m = − ∞ ∞ f m ( r ) e i m θ r , {\displaystyle...

computational physics, Vassiliou is known for the introduction of Rokhlin's fast multipole method to computational electromagnetics.   As an executive at the Rockwell...

using a multipole expansion or other approximation of the potential. This allows for a reduction in complexity to O(n log n). Fast multipole methods take...

four colour theorem, the first theorem to be proved by computer. Fast multipole method (voted one of the top 10 algorithms of the 20th century) invented...

muscle paralysis" in patients of all ages. In the 1980s, "sequential multipole stimulation" was developed in Tampere, Finland. This technology was commercialized...

tensor. Since this only involves the charge of the field and not higher multipoles like the magnetic moment (and in a loose and non unique way, because it...

to measure the anisotropy of the cosmic microwave background (CMB) at multipole moments between 60 and 360. It was named after Saskatoon, Saskatchewan...

reduction of substrates. Particles that are too large allow the excitation of multipoles, which are nonradiative. As only the dipole transition leads to Raman...

maximization of forward scattering via interference of the radiation multipoles. They show explicitly that the necessary condition to realize a negative...

mathematician, physician and computer scientist; co-inventor of the fast multipole method in 1987 S. L. Greitzer, mathematician; founding chairman of the...

Souza, R.; Cougo-Pinto, M. V.; Farina, C.; Moriconi, M. (2009-01-01). "Multipole radiation fields from the Jefimenko equation for the magnetic field and...

Kramer: Platonic topology and CMB fluctuations: homotopy, anisotropy and multipole selection rules. In: Class. Quantum Grav. 27, 2010, doi:10.1088/0264-9381/27/9/095013...

Laberge, Gabriel; Juncker, David; Gervais, Thomas (2019). "Microfluidic multipoles theory and applications". Nature Communications. 10 (1) 1781. arXiv:1810...

Individuals with high cognitive complexity tent to evaluate others using multipole dimensions and are more open to conflicting or ambiguous information....

Observatory, Chile 40, 90, 150, 220 TES Bolometer B-mode polarization signal at multipoles from 2 to 100 Primordial Inflation Polarization Explorer (PIPER) Future...

(2012). "On hyperspherical Legendre polynomials and higher dimensional multipole expansions" (PDF). J. Inequal. Spec. Func. 3 (3). Arfken, G.B.; Weber...

interactions. Advanced algorithms, such as the Ewald summation or Fast Multipole Method, reduce this to O ( N log ⁡ N ) {\displaystyle {\mathcal {O}}(N\log...

turning, spending much time there, leading to high conduction losses. The multipole ion-beam experiment (MIX) accelerated ions and electrons into a negatively...

radiated away. (Any such inhomogeneities can be quantified as nonzero higher multipole moments.) Price's theorem explains how the no hair theorem is enforced...

and Plotly Boundary elements solver: Yes No Yes Existing but without multipole acceleration (not usable for large problems) No Use multiple meshes: Yes...

September 15, 1985. K. Nabors; J. White (November 1991). "Fastcap: A multipole accelerated 3-D capacitance extraction program". IEEE Transactions on...

used 500 miles (800 km) of wire with three million connections, 3,500 multipole relays with 35,000 contacts, 2,225 counters, 1,464 tenpole switches and...

Digital Pictures for Sega CD and other platforms Double switching, using a multipole switch to open or close both sides of an electrical circuit This disambiguation...

class of the 20th century as ranked by SISC; after fast-fourier and fast-multipole) Matrix multiplication algorithms Cannon's algorithm: a distributed algorithm...

Swendsen–Wang algorithm is invented in the field of Monte Carlo simulations. Fast multipole method is invented by Vladimir Rokhlin and Leslie Greengard (voted one...

Challacombe, M. (1999). "Linear scaling computation of the Fock matrix. IV. Multipole accelerated formation of the exchange matrix". The Journal of Chemical...

originator of the DIAMOND project) and stood as an acronym meaning DIpole And Multipole Output for the Nation at Daresbury. With the location now being Oxfordshire...

field expressed in [T], ( a n , b n ) {\displaystyle (a_{n},b_{n})} the multipole field strengths (skew and normal) expressed in [ m − n + 1 ] {\displaystyle...

nonrotating black holes in vacuum have vanishing Love numbers for all multipoles k ℓ = 0 {\displaystyle k_{\ell }=0} . Measuring the Love numbers of compact...

Yuen (May 1971). "Multiple scattering of EM waves by spheres part I--Multipole expansion and ray-optical solutions". IEEE Transactions on Antennas and...

(Academic Press NY)[full citation needed] Thorne, Kip S. (April 1980). "Multipole expansions of gravitational radiation". Reviews of Modern Physics. 52...

Bibcode:1992JAP....71....1B. doi:10.1063/1.350737. ISSN 0021-8979. "OpenMC Windowed Multipole". 2020-06-01. Retrieved 2020-12-20. Avetisov, Slava (1995). A Least-Squares...

approximation for an arbitrary periodic charge density based on the concept of multipole potentials and the boundary value problem for a sphere. Because they are...

O(N)} further reduces the computational cost. Verlet integration Fast multipole method Molecular mechanics Software for molecular mechanics modeling Verlet...

Signature also developed a cellular detection system based on its proprietary multipole coupling spectroscopy (MCS) technology which was based upon dielectric...

Alexander; Liedl, Klaus R. (2014). "Charge Anisotropy: Where Atomic Multipoles Matter Most". Journal of Chemical Theory and Computation. 10 (10): 4488–4496...

MAASP – maximum acceptable [or allowable] annular surface pressure MAC – multipole acoustic log or multiarm caliper log MACL – multiarm caliper log MAE –...

measurements. The power spectrum of the cosmic microwave background radiation anisotropy is plotted in terms of the angular scale (or multipole moment) (top)....

cross sections and for investigation of plasma confinement in toroidal multipoles." 1980 Thomas H. Stix United States "For his contributions to the development...

electron–positron scattering. Nikodem Popławski use the Papapetrou method of multipole expansion to show that torsion modifies Burinskii’s model of the Dirac...

measurements of the CMB's power spectrum were designed to be between the multipoles of about 40 and 2,500, and will be made in a section of the sky known...

HCD, the ions pass through the C-trap and into the HCD cell, an added multipole collision cell, where dissociation takes place. The ions are then returned...

rotating systems it is possible to use homopolar magnet designs instead of multipole Halbach structures, which reduce losses considerably. An example that...

Reynolds numbers. Faxén's laws are direct relations that express the multipole moments in terms of the ambient flow and its derivatives. First developed...

Charged particle beam Dipole magnet Electron optics Halbach cylinder Multipole magnet Quadrupole magnet "Sextupole magnet". The European X-Ray Laser...

Bibcode:1968JMP.....9.1739G, doi:10.1063/1.1664507 Geroch, Robert (1970-06-01). "Multipole Moments. I. Flat Space". Journal of Mathematical Physics. 11 (6): 1955–1961...

breakthrough came in the 1980s with the development of the Barnes-Hut and fast multipole method (FMM) algorithms. These paved the way to practical computation...

Reaction Cell July 2001 - Reaction Chemistry and Collisional Processes in Multipole Ddevices for Resolving Isobaric Interferences in ICP–MS A more complete...

Poisson–Boltzmann solver CHARMM-GUI: PBEQ Solver AFMPB Adaptive Fast Multipole Poisson–Boltzmann Solver, free and open-source Global classical solutions...

sizes. Specifically, his group had the first working multilevel fast multipole algorithm (MLFMA) that when adopted by other groups, subsequently helped...

ft), with measurements of the angular power spectrum of the CMB in the multipole moment range of 50 to 400. The receiver was equipped with SIS and HEMT...

in the late 1980s. In the 1990s, introduction of fast multipole and multilevel fast multipole methods enabled efficient MoM solutions to problems with...

circular polarization in the CMB and large-scale anomalies. (See the Low multipoles and other anomalies section of the cosmic microwave background article...

1979) – physician, mathematician, computer scientist; co-inventor, fast multipole method, one of top-ten algorithms of 20th century; Leroy P. Steele Prize;...

the quadrupole moment of the CMB is unexpectedly low and the other low multipoles appear to be preferentially aligned with the ecliptic plane. Some have...

situation with the atomic electric dipole. Higher electric and magnetic multipole moments cannot be predicted by this simple version of the shell model...

quadrupoles and electric dipoles are also possible. For more on this topic, see multipole expansion and (for example) Cédric Lorcé (2009). The Schrödinger/Pauli...

technical director for the A. & H. de Meuron Cuénod, where he designed his multipole dynamo for which he was awarded a patent in 1883. During 1882, Thury built...

magnetization of the magnet. Formally, the field can be expressed as a multipole expansion: A dipole field, plus a quadrupole field, plus an octupole field...

types of primary order, such as ferroic arrangements of magnetoelectric multipoles of which ferrotoroidicity is an example, were proposed. Besides scientific...

development of a device to correct electron-optical aberration using magnetic multipole lenses. Their work allowed electron microscopes to achieve a resolution...

then developed a procedure to stabilize instabilities in tokamaks using multipole magnetic fields with Donald Kerst in 1960, which was then later confirmed...

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...

series can be viewed as a potential arising from the 2n-moments (see multipole expansion). For many purposes only the monopole, dipole, and quadrupole...

matrix become relevant, which allows the experimenter to observe higher multipole transitions (quadrupole, octupole, etc.). Electron orbital imaging has...

{\displaystyle i=1;2} the multipolarity of the two transitions. For pure multipole transitions, is I i = I i ′ {\displaystyle I_{i}=I'_{i}} . A k k {\displaystyle...

around the fundamental quasi-normal mode frequency (see below) for each multipole. Quasi-normal modes correspond to pure tones of the black hole. These...

Parametrized Self-Consistent Tight-Binding Quantum Chemical Method with Multipole Electrostatics and Density-Dependent Dispersion Contributions". Journal...

Commutators. To efficiently wind narrow slots of electronically commutated multipole three-phase motors, the teeth are coated with insulation and directly...

related to degenerate expansions used in panel clustering and the fast multipole method to approximate integral operators. In this sense, hierarchical...

incidence diffraction Henderson limit International Year of Crystallography Multipole density formalism Neutron diffraction Powder diffraction Ptychography...

harmonics. Since it is possible to omit parts of the spherical harmonic multipole expansion for content that has non-uniform, direction-dependent resolution...

filters respectively. However, these simple filters have very limited uses. Multipole LC filters provide greater control of response form, bandwidth and transition...

Typical flux (1011 photons/sec) Applications eV nm gratings AU-MatLine Multipole Wiggler 20–700 1.8–62 2 200-3500 1 Materials and Surface Science AU-AMOLine...

other teams at the meeting. Then, in 1968, a US machine known as the multipole built at General Atomics also clearly beat the limit, by about 20 times...

mass-energy configuration that has a time-varying quadrupole moment (or higher multipole moment). Using a linearized field equation (appropriate for the study...

influences of the particle is to derive the electromagnetic four-currents and multipole moments for the particle, rather than include the interactions in the...

multiplication with O ( n log ⁡ n ) {\displaystyle O(n\log n)} ops (e.g. the fast multipole method), (pivoted) LU factorization with O ( n 2 ) {\displaystyle O(n^{2})}...

rotation rate when other dissipation is neglected, because the current-multipole (gravitomagnetic) radiation they emit always drives them unstable. Of...

Machine at MIT. Nabors, K.; White, J.K. (November 1991). "FastCap: A Multipole Accelerated 3-D Capacitance Extraction Program". IEEE Transactions on...

( r , θ ) {\displaystyle \psi (r,\theta )} in Eq(10) is given by the multipole expansion ( 12 ) ψ ( r , θ ) = − ∑ i = 1 ∞ a i ( R n ( cos ⁡ θ ) M ) P...

1974 confirmed the result, with agreement up to 0.2 percent (by 2005). Multipole radiation Birkhoff's theorem (relativity) PSR J0737−3039 Carroll, Sean...

write the radiation field quite compactly in terms of the mass multipole, current multipole, and spin-weighted spherical harmonics: Ψ 4 ( t , r , θ , ϕ )...

tight binding code (both orthogonal and non-orthogonal), allowing for multipole charges and electron spin. It also contains Density Functional Theory...

PMID 28600826. Ren, Pengyu; Ponder, Jay W. (2003). "Polarizable Atomic Multipole Water Model for Molecular Mechanics Simulation". The Journal of Physical...

but Princeton had already solved that problem as part of their Floating Multipole-1 machine, which, before the tokamak, was one of the few other devices...

The generating function relevant for 2-dimensional potential theory and multipole expansion is ∑ n = 1 ∞ T n ( x ) t n n = ln ⁡ ( 1 1 − 2 t x + t 2 ) ....

collaborators, who recognised that the instability is driven by current-multipole (gravitomagnetic) gravitational radiation and could dominate the spin...

free fields). Generic flow patterns can be also de-composed in terms of multipole expansions, in the same manner as for electric and magnetic fields where...

one or more dual-tuned IF transformers, a quartz crystal filter, or a multipole ceramic filter. In some receivers the IF bandwidth is adjustable, allowing...

capacitive, conductance, inductance and resistance matrices. It uses the fast multipole method (FMM) to accelerate the solution of the integral equations. Outputs...

net magnetic field produced by the system can also have higher-order multipole components, those will drop off with distance more rapidly, so that only...

equation Avshalom Elitzur Axel Scherer Axel T. Brunger Axial-flow pump Axial multipole moments Axial pen force Axial precession Axial ratio Axial tilt Axiality...

456 Furlani, E. P., 2000, “Analytical analysis of magnetically coupled multipole cylinders”, J. Phys. D: Appl. Phys., Vol. 33, No. 1, p. 28-33. Jorgensen...

open regions" 2009 Ludger Klinkenbusch "For contributions to spherical-multipole analysis of electromagnetic fields" 2009 James Knighten "For contributions...

Charges, magnetic moments, and orbital moments at individual atoms Electric multipole moments and magnetic dipole moments Heisenberg interaction parameters...

Weinberg, Steven (2007). "Tensor microwave background fluctuations for large multipole order". Physical Review D. 75 (12) 123505. arXiv:astro-ph/0703179. Bibcode:2007PhRvD...

attracted to a magnetic minimum, created by a combination of mirror and multipole fields. In November 2010, the ALPHA collaboration announced that they...

Cyclotron resonance Cylinder stresses Cylinderical cloak Cylindrical multipole moments Cymatics Cyril Domb Cyril Hilsum Cyril Isenberg Cyril Norman Hinshelwood...

"Particle-in-Cell Simulation of Quasi-Neutral Plasma Trapping by RF Multipole Electric Fields". Physics. 1 (3): 392–401. Bibcode:2019Physi...1..392H...

over those via γ emission. If internal conversion takes place, the EM multipole fields of the nucleus do not result in the emission of a photon, instead...

used about 400-450 binary relays, 6-8 panels, and ten multiposition, multipole relays called "crossbars" for temporary storage of numbers. "1953: Transistorized...

respectively, of the applied wave. These dipoles are the leading terms in the multipole series. They are the only existing ones for a homogeneous sphere, whose...

detection of the Silk damping tail; it found a hint of excess power at high-l multipoles (CBI-excess) than expected from the ΛCDM model; and it detected fluctuations...

particle accelerator Particle accelerator Quadrupole magnet Sextupole magnet Multipole magnet Storage ring ["Bar Magnet" hyperphysics; http://hyperphysics.phy-astr...

In the third outermost region the classical charges interact with the multipole moments of the quantum charge distribution. By calculating charge-charge...

(2014). "Satellite orbital precessions caused by the first odd zonal J3 multipole of a non-spherical body arbitrarily oriented in space". Astrophysics and...

and display an infrared excess. Magnetic field measurements showed a multipole distribution and a period of 1.5 days. This was the first star discovered...

doi:10.1109/ACCESS.2019.2923118. Halbach, K. (1980). "Design of permanent multipole magnets with oriented rare earth cobalt material". Nuclear Instruments...

problem is to do a partial wave expansion (somewhat analogous to the multipole expansion in classical electrodynamics), where one expands in the angular...

functionality as well as a growing list of features (the continuous fast multipole method, J-matrix engine, COLD PRISM for integrals, and G96 density functional...

nonspherical dielectric resonators as well, but in this case each mode consist of an infinite number of multipoles, and the Q-factor doesn't go to infinity....

observed in emission and absorption and require an electric or magnetic multipole moment - in most cases an electric dipole moment - to exist for an optical...

critical in the construction of the most efficient three-dimensional fast multipole methods (FMMs) for solving the Helmholtz equation and Maxwell's equations...

contacts resembled the head support arms in a modern hard disk drive. Multipole switches were common; some had perhaps as many as a dozen poles, but those...

electrostatic interactions involving permanent or induced dipoles (or multipoles). These include the following: permanent dipole–dipole interactions, alternatively...

By implementing a fully parallelized version of the multilevel fast multipole algorithm (MLFMA), Gürel's research group has been solving the world's...

Milton D. (1994-06-01). "ResonantP33 S1+(q2)(3/2) electroproduction multipole amplitude and the ΔNγ scalar form factor GC(q2)". Physical Review C. 49...

molecular orbitals etc.) prediction of various molecular properties (multipole moments, polarizabilities, vibrational frequencies etc.) Chemistry portal...

and their metric tensors can be written down in terms of an explicit multipole expansion. The simplest (and historically the first) way of defining an...

and angular momentum. (A more general object might have nonzero higher multipole moments.) The two double principal null directions define "radially" ingoing...

into a beam of 1–2 mm diameter by collisions with a residual gas in RF multipole guides. A system of electrostatic lenses mounted in high-vacuum region...

developed Wind Turbine TWT-1.5/70, a 1500 KW variable-speed direct-drive multipole Wind Turbine with a full-power converter and a 70 meters rotor diameter...

relativistic bodies, including the influence of the coupling of their multipole moments to the spacetime curvature of nearby objects, as well as writing...

(2006). "Karhunen–Loève approximation of random fields by generalized fast multipole methods". Journal of Computational Physics. 217 (1): 100–122. Bibcode:2006JCoPh...

8 magnetic cells consisting of dipole bending magnets with integrated multipole focusing magnets as a prototype for MAX IV. That design was created by...

Wei E. I. (2016). "Large-Scale Characteristic Mode Analysis With Fast Multipole Algorithms". IEEE Transactions on Antennas and Propagation. 64 (7): 2608–2616...

Reaction Cell July 2001 - Reaction Chemistry and Collisional Processes in Multipole Devices for Resolving Isobaric Interferences in ICP–MS Aug 2000 - A Dynamic...

polarizability in metallic systems to describe the image potential, internal multipole moments in π-conjugated systems, and lone pairs in water. Electronic polarization...

Lexing; Zorin, Denis (May 2012). "A Massively Parallel Adaptive Fast Multipole Method on Heterogeneous Architectures". Communications of the ACM. 55...

)} represent Legendre polynomials, and a n {\displaystyle a_{n}} are multipole coefficients. The other metric potential γ ( r , θ ) {\displaystyle \gamma...

obtain measurements at altitudes up to 8 Earth radii, but due to permanent multipole disturbances within the vehicle, the fluxgate magnetometer became saturated...

long-wavelength gravitational radiation, demonstrating the renormalization of multipole moments and the cancellation of infrared divergences in gravitational...

Semi-hermetic compressor multipole feedthrough (compression glass-to-metal-seal)...

computer science and mathematics at Yale University, co-inventor of the fast multipole method in 1985 Hector Ruiz (PhD '73) - former CEO & executive chairman...

of this algorithm Θ ( m 2 ) {\displaystyle \Theta (m^{2})} . The fast multipole method has also been employed to solve the secular equation in Θ ( m log...

of inertia, ray-tracing histograms, maximum distance histograms, shape multipoles to name a few. Large databases, such as PubChem and ChemSpider, have graphical...

Parametrized Self-Consistent Tight-Binding Quantum Chemical Method with Multipole Electrostatics and Density-Dependent Dispersion Contributions". Journal...

based on arc-shaped coils unlike the conventional ECRIS which bases on a multipole magnet (usually a hexapole magnet) inside a solenoid magnet. First time...

elektrisch großer elektromagnetischer Streuprobleme (Book) 2005 Fast Multipole Solution of Metallic and Dielectric Scattering Problems in FEKO (Journal...

maps include electric potentials, electric fields, distributed higher multipole moments, and other relevant factors evaluated at specific points surrounding...

the center of the considered nucleus. This method corresponds to the multipole expansion in cartesian coordinates (note that the equations below use...

appear, for example, in the form of spherical atomic orbitals and real multipole moments. The explicit Cartesian expression of the real regular harmonics...

frequency and time domain integral equation methods, multi-scale fast multipole methods, fast transient methods, and higher order finite element and integral...

Takashi (2009). "Microscopic analysis of multipole susceptibility of actinide dioxides: A scenario of multipole ordering in AmO 2". Physical Review B. 80...

2008 Espoir du Sud–Guadeloupe 2009 UFR Matouba Rayon d'Argent 2011 C.C. Multipôle Etang de Berre Professional teams 2000–2001 Jean Delatour 2002–2003 Saint-Quentin–Oktos...

extended bodies in scalar-tensor theory of gravity with all mass and spin multipole moments of arbitrary order and derived the Lagrangian of the relativistic...

Polarized Light with Molecules; the Effects of Both Permanent and Transition Multipole Moments on Multiphoton Absorption and Chiroptical Effects". J. Mod. Opt...

CMB power spectrum at angular scales smaller than roughly 5 arcminutes (multipole number larger than 2000) and to discover a population of distant, gravitationally...

high-energy accelerator (the Berkeley HILAC) and to observe relativistic and multipole atomic transitions in those ions. This work led to the new field of "high-energy...

trap, it happens in the HCD cell (in some instruments named "ion routing multipole"). HCD is a trap-type fragmentation that has been shown to have beam-type...

COSMIC MICROWAVE BACKGROUND POLARIZATION POWER SPECTRA AT 43 GHz IN THE MULTIPOLE RANGE 25 ⩽ $\ell$ ⩽ 475". The Astrophysical Journal. 741 (2): 111. arXiv:1012...

of Malagasy Workers (Malagasy: Fivondronamben'ny Mpiasa Malagasy) Fast multipole method Functional membrane microdomain Father Michael McGivney Catholic...

Jewish women. Following the publication the case received attention in multipole countries' media outlets. Savonarola's Women: Visions and Reform in Renaissance...

(AB '78) - computational physicist known for introducing Rokhlin's fast multipole method to computational electromagnetics An Wang (PhD '48) - invented...

distribution of charge within the atom can allow dipole (or more generally multipole) moments to form, with which is associated a dipole field. Separating...

portfolio. One is the development of the concept and formalism of magnetic multipoles, which require a theory of magnetism beyond the usual magnetic-dipole...

computationally too expensive to simulate large-scale problems. The fast multipole method (FMM) can reduce both CPU time and memory requirement from O(N2)...

uses the computed solution to refine the mesh only where necessary Fast multipole method — hierarchical method for evaluating particle-particle interactions...

of Current Distribution of Magnetopause and Thrust Characteristics in Multipole Magnetic Sail", AIAA Propulsion and Energy 2020 Forum, AIAA Propulsion...

computationally intensive methods are particle mesh Ewald (PME) and the multipole algorithm. In addition to the functional form of each energy term, a useful...

with Chakram S. Jayanthi, Winfried Kress and Heinz Bilz developed the multipole-expansion model (also termed pseudo-charge model) for the analysis of...

Simulations Using Techniques Suitable for Very Large Systems: The Cell Multipole Method for Nonbond Interactions and the Newton-Euler Inverse Mass Operator...

particles", issued May 2, 1989, p.12. Sadowski, M. (1969). "Spherical Multipole Magnets for Plasma Research". Review of Scientific Instruments. 40 (12):...

metals, oxides, minerals, and organic molecules. The models reproduce multipole moments internal to a chemical compound on the basis of experimental data...

Hans Thirring (Lense–Thirring precession), Kip Thorne (relativistic multipoles, relativistic stars, hoop conjecture, membrane paradigm, gravitational-wave...

stability of its solutions. 1974 – R. O. Hansen introduces Hansen–Geroch multipole moments. 1974 – Stephen Hawking discovers Hawking radiation. 1975 – Stephen...

Advanced Classical Electrodynamics: Green Functions, Regularizations, Multipole Decompositions, World Scientific, 2017. Landau LD, Lifshitz EM, Pitaevskii...

temperature and polarization anisotropies in the cosmic microwave background at multipoles between 800 and 8,000 (corresponding to between 2 and 20 arcminutes on...

turbulence in the inner disk stimulates the creation of magnetic fields and multipole mass-moments, thereby opening radiation channels in radio, neutrinos and...

isomorphous replacement Multiplet Multiplicative quantum number Multipole expansion Multipole moment Multipurpose Applied Physics Lattice Experiment Multiscale...

four colour theorem, the first theorem to be proved by computer. Fast multipole method invented by Rokhlin and Greengard (voted one of the top 10 algorithms...

throughout the decade, led by Daubechies et al. Creation of MINPACK. Fast multipole method (voted one of the top 10 algorithms of the 20th century) invented...

W. L. Sprung (1 July 1988). "Collective rotational transverse current multipoles: Even-even nuclei". Physical Review C. 38 (1): 338–358. Bibcode:1988PhRvC...

variations on the theme of Lamb–Chaplygin: supersmooth dipole and rotating multipoles". Regular and Chaotic Dynamics. 9 (4): 509. doi:10.1070/rd2004v009n04abeh000293...

Displayer Fast atom bombardment Fast fission Fast-ion conductor Fast multipole method Faster-than-light Faster-than-light neutrino anomaly Fault current...

what characteristic values are seen in this case. Cylindrical multipole moments MULTIPOLE EXPANSION Archived 2016-03-04 at the Wayback Machine The nonvanishing...

the boomSAR. These include models for method of moments (MoM) and fast multipole method (FMM), which contributed to the development of automatic target...

measure the B-mode polarization of the Cosmic Microwave Background between multipoles of 20 and 1000 down to a sensitivity limited by the foreground contamination...

quantification and interpretation of the results. Quadrupole, hexapole and other multipole ion guides can be used to transfer ions between different parts of an...

of several intermolecular forces Monopole (disambiguation) Quadrupole Multipole expansion Bipolar (disambiguation) This disambiguation page lists articles...

when calculating uncertainties. This is important in describing the low multipoles of the cosmic microwave background and has been the source of much controversy...

aberration Spherical cow Spherical harmonics Spherical model Spherical multipole moments Spherical tokamak Spherically symmetric spacetime Spheromak Spider...

resonance spectrum of the Escherichia coli galactose binding protein using a multipole shielding polarizability-local reaction field-molecular dynamics approach"...