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Numerical technique
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
Fast_multipole_method
Computational mathematics
The multilevel fast multipole method (MLFMM) is used along with method of moments (MoM) a numerical computational method of solving linear partial differential
Multilevel fast multipole method
Multilevel_fast_multipole_method
Branch of physics
Charge based boundary element fast multipole method. FMM can also be used to accelerate MoM. While the fast multipole method is useful for accelerating MoM
Computational electromagnetics
Computational_electromagnetics
Numerical technique for bioelectromagnetic modeling
This formulation is naturally combined with fast multipole method (FMM) acceleration, and the entire method is known as charge-based BEM-FMM. The combination
Charge based boundary element fast multipole method
Charge_based_boundary_element_fast_multipole_method
Method of solving linear partial differential equations
Maxwell problems utilizing a fast multipole method for compression and reduction of computational cost boundary-element-method.com An open-source BEM software
Boundary_element_method
Numerical method in computational electromagnetics
in the late 1980s. In the 1990s, introduction of fast multipole and multilevel fast multipole methods enabled efficient MoM solutions to problems with
Method of moments (electromagnetics)
Method_of_moments_(electromagnetics)
Discrete Fourier transform algorithm
communication requirements for parallel computing with the help of a fast multipole method. A wavelet-based approximate FFT by Guo and Burrus (1996) takes
Fast_Fourier_transform
American mathematician (born 1957)
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
Leslie_Greengard
Russia-American applied mathematician, co-inventor fast multipole method
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
Vladimir_Rokhlin_Jr.
Mathematical series
A multipole expansion is a mathematical series representing a function that depends on angles—usually the two angles used in the spherical coordinate
Multipole_expansion
Arrangement that creates a quadrupole field of some sort
with this form seeing some usage in the literature regarding the fast multipole method. Conversion between these two forms can be easily achieved using
Quadrupole
Data structure in computer science
Efficient collision detection in three dimensions View frustum culling Fast multipole method Unstructured grid Finite element analysis Sparse voxel octree State
Octree
Analysis and solving of problems that involve fluid flows
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 of
Computational_fluid_dynamics
Numerical method
Barnes–Hut simulation, the fast multipole method. Following the work by Munjiza and Owen, the combined finite-discrete element method has been further developed
Discrete_element_method
Numerical eigenvalue calculation
{\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
Lanczos_algorithm
Branch of chemistry
interactions. Advanced algorithms, such as the Ewald summation or Fast Multipole Method, reduce this to O ( N log N ) {\displaystyle {\mathcal {O}}(N\log
Computational_chemistry
Computational chemistry software package
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
Q-Chem
Computer simulations to discover and understand chemical properties
Kohnke B, Kutzner C, Grubmüller H (2020-11-10). "A GPU-Accelerated Fast Multipole Method for GROMACS: Performance and Accuracy". Journal of Chemical Theory
Molecular_dynamics
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
List_of_algorithms
Approximation algorithm for the n-body problem
Toolbox) Nearest neighbor search Fast multipole method References Pfalzner, Susanne; Gibbon, Paul (1996). Many-body tree methods in physics. Cambridge [u.a
Barnes–Hut_simulation
Approximation method
related to degenerate expansions used in panel clustering and the fast multipole method to approximate integral operators. In this sense, hierarchical matrices
Hierarchical_matrix
Matrix class
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})}
Cauchy_matrix
Strength of an object's radar echo
performance, parallelized, open source Method of Moments / Multilevel Fast Multipole Method electromagnetics code Radar Cross Section Reduction Course A GA
Radar_cross_section
Problem in physics and celestial mechanics
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
N-body_problem
Overview of and topical guide to algorithms
algorithm Phylogenetic tree Molecular dynamics Finite element method Fast multipole method P (complexity) NP (complexity) NP-completeness NP-hardness EXPTIME
Outline_of_algorithms
German mathematician (born 1948)
pioneering research in multigrid methods and later hierarchical matrices, a concept generalizing the fast multipole method. He was a professor at the University
Wolfgang_Hackbusch
Barnes–Hut tree method developed by Josh Barnes and Piet Hut for fast approximate simulation of n-body problems 1987 – Fast multipole method developed by
Timeline_of_algorithms
uses method of moments (integral equations) and FEMs to compute capacitive, conductance, inductance and resistance matrices. It uses the fast multipole method
Parasitic_extraction
Computer-aided engineering company
simulation methods, including the finite integration technique (FIT), finite element method (FEM), transmission line matrix (TLM), multilevel fast multipole method
Simulia_(company)
computationally too expensive to simulate large-scale problems. The fast multipole method (FMM) can reduce both CPU time and memory requirement from O(N2)
Singular_boundary_method
Engineering school of Harvard University in Cambridge, Massachusetts
'78) - computational physicist known for introducing Rokhlin's fast multipole method to computational electromagnetics An Wang (PhD '48) - invented magnetic
Harvard John A. Paulson School of Engineering and Applied Sciences
Harvard_John_A._Paulson_School_of_Engineering_and_Applied_Sciences
NYU Courant Institute of Mathematical Sciences; inventor of the fast multipole method Marshall Hall (B.A. 1932), mathematician, who made significant contributions
List of Yale University people
List_of_Yale_University_people
mathematician, physician and computer scientist; co-inventor of the fast multipole method in 1987 S. L. Greitzer, mathematician; founding chairman of the
List of New York University faculty
List_of_New_York_University_faculty
computed solution to refine the mesh only where necessary Fast multipole method — hierarchical method for evaluating particle-particle interactions Perfectly
List of numerical analysis topics
List_of_numerical_analysis_topics
American computer scientist
computational physics, Vassiliou is known for the introduction of Rokhlin's fast multipole method to computational electromagnetics. As an executive at the Rockwell
Marius_Vassiliou
Computation method named after Paul Peter Ewald
fluctuations in density may be treated more efficiently with the fast multipole method of Greengard and Rokhlin. The electrostatic energy of a polar crystal
Ewald_summation
Method in quantum chemistry
Broadly Parametrized Self-Consistent Tight-Binding Quantum Chemical Method with Multipole Electrostatics and Density-Dependent Dispersion Contributions".
Semi-empirical quantum chemistry method
Semi-empirical_quantum_chemistry_method
1979) – physician, mathematician, computer scientist; co-inventor, fast multipole method, one of top-ten algorithms of 20th century; Leroy P. Steele Prize;
List of Wesleyan University people
List_of_Wesleyan_University_people
O(N)} further reduces the computational cost. Verlet integration Fast multipole method Molecular mechanics Software for molecular mechanics modeling Verlet
Verlet_list
Topics referred to by the same term
Malagasy Workers (Malagasy: Fivondronamben'ny Mpiasa Malagasy) Fast multipole method Functional membrane microdomain Father Michael McGivney Catholic
FMM
German mathematician
"Karhunen–Loève approximation of random fields by generalized fast multipole methods". Journal of Computational Physics. 217 (1): 100–122. Bibcode:2006JCoPh
Christoph_Schwab
Algorithm on Hermitian matrices
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
Divide-and-conquer eigenvalue algorithm
Divide-and-conquer_eigenvalue_algorithm
Indian-American electrical engineer
equation methods, multi-scale fast multipole methods, fast transient methods, and higher order finite element and integral equation methods. His work
Shanker_Balasubramaniam
Way of describing a molecule's charge distribution
distributed multipole analysis (DMA) is a compact and accurate way of describing the spatial distribution of electric charge within a molecule. The DMA method was
Distributed multipole analysis
Distributed_multipole_analysis
invent the Car–Parrinello method. Swendsen–Wang algorithm is invented in the field of Monte Carlo simulations. Fast multipole method is invented by Vladimir
Timeline of computational physics
Timeline_of_computational_physics
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
Timeline of computational mathematics
Timeline_of_computational_mathematics
Engineering software
Streuprobleme. Düsseldorf: VDI Verlag. Jakobus, U.; Van Tonder, J.J. (2005), "Fast Multipole Solution of Metallic and Dielectric Scattering Problems in FEKO", 21st
FEKO
Computational science history
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
Timeline of scientific computing
Timeline_of_scientific_computing
American scientist
in the construction of the most efficient three-dimensional fast multipole methods (FMMs) for solving the Helmholtz equation and Maxwell's equations
Bradley_Alpert
Academic school at Rice University
science and mathematics at Yale University, co-inventor of the fast multipole method in 1985 Hector Ruiz (PhD '73) - former CEO & executive chairman
George R. Brown School of Engineering and Computing
George_R._Brown_School_of_Engineering_and_Computing
Lexing; Zorin, Denis (May 2012). "A Massively Parallel Adaptive Fast Multipole Method on Heterogeneous Architectures". Communications of the ACM. 55 (5):
Richard_Vuduc
Measure of positive and negative charges
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
Electric_dipole_moment
Constant in crystallography
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
Madelung_constant
US Army UWB SAR radar
algorithms for the boomSAR. These include models for method of moments (MoM) and fast multipole method (FMM), which contributed to the development of automatic
BoomSAR
Malaysian-American electrical engineer
C. (August 2010). "Fast inverse scattering solutions using the distorted Born iterative method and the multilevel fast multipole algorithm". The Journal
Weng_Cho_Chew
Extension of the scalar spherical harmonics for use with vector fields
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
Vector_spherical_harmonics
Chemical compound
Takashi (2009). "Microscopic analysis of multipole susceptibility of actinide dioxides: A scenario of multipole ordering in AmO 2". Physical Review B. 80
Neptunium(IV)_oxide
Method in physics
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
Linearized augmented-plane-wave method
Linearized_augmented-plane-wave_method
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
Timeline of numerical analysis after 1945
Timeline_of_numerical_analysis_after_1945
American electronics engineer and professor
Machine at MIT. Nabors, K.; White, J.K. (November 1991). "FastCap: A Multipole Accelerated 3-D Capacitance Extraction Program". IEEE Transactions on
Jacob_K._White
Daniels Fast and Realistic OpenGL Displayer Fast atom bombardment Fast fission Fast-ion conductor Fast multipole method Faster-than-light Faster-than-light
Index_of_physics_articles_(F)
German electrical engineer
und elektrisch großer elektromagnetischer Streuprobleme (Book) 2005 Fast Multipole Solution of Metallic and Dielectric Scattering Problems in FEKO (Journal
Ulrich_Jakobus
Computer programs that solve Maxwell's equations
September 15, 1985. K. Nabors; J. White (November 1991). "Fastcap: A multipole accelerated 3-D capacitance extraction program". IEEE Transactions on
Electromagnetic_field_solver
Simulation of a dynamical system of particles
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
N-body_simulation
Method in computational chemistry
utilise multipole moments, as opposed to point charges, given that multipole moments can reflect the charge anisotropy of the molecules. One such method is
Solvent_model
Mathematical operation
{\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
Hankel_transform
Isotope of hydrogen with one neutron
nucleons wavefunction inside the deuterium. Higher magnetic and electric multipole moments cannot be calculated by the above model, for similar reasons.
Deuterium
Concept on molecular modeling
extension to arbitrary angular momentum, distributed multipoles, and speedup with reciprocal space methods". The Journal of Chemical Physics. 125 (18) 184101
Force_field_(chemistry)
Method of mass spectrometry
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
Time-of-flight mass spectrometry
Time-of-flight_mass_spectrometry
Method for satisfying the Newtonian motion of a rigid body which consists of mass points
Very Large Systems: The Cell Multipole Method for Nonbond Interactions and the Newton-Euler Inverse Mass Operator Method for Internal Coordinate Dynamics"
Constraint (computational chemistry)
Constraint_(computational_chemistry)
Complex complementary error function
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
Faddeeva_function
Medical diagnostic method
(1980). "Design of permanent multipole magnets with oriented rare earth cobalt material". Nuclear Instruments and Methods. 169 (1): 1–10. Bibcode:1980NucIM
Portable magnetic resonance imaging
Portable_magnetic_resonance_imaging
Electron microscopy technique
of Protein Helices Reconciled with Three-Centered Hydrogen Bonds and Multipole Electrostatics". PLOS ONE. 10 (4) e0123146. Bibcode:2015PLoSO..1023146K
Cryo-electron_microscopy
Electromagnet used to generate a magnetic field in an electro-magnetic machine
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
Field_coil
quantification and interpretation of the results. Quadrupole, hexapole and other multipole ion guides can be used to transfer ions between different parts of an
Proton-transfer-reaction mass spectrometry
Proton-transfer-reaction_mass_spectrometry
Early American electromechanical computer (1944)
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
Harvard_Mark_I
molecular orbitals etc.) prediction of various molecular properties (multipole moments, polarizabilities, vibrational frequencies etc.) Chemistry portal
Jaguar_(software)
Full-sphere surround sound format
sphere around the microphone; formally the first-order truncation of the multipole expansion. W {\displaystyle W} (the mono signal) is the zero-order information
Ambisonics
Maxwell Prize (1997) Donald W. Kerst invention of the levitated toroidal multipole Maxwell Prize (1984) Shaukat Hameed Khan laser isotope separation, Chief
List_of_plasma_physicists
Materials which exhibit ferromagnetism, ferroelectricity, and/or ferroelasticity
types of primary order, such as ferroic arrangements of magnetoelectric multipoles of which ferrotoroidicity is an example, were proposed. Besides scientific
Multiferroics
Canonical solutions of the general Legendre equation
higher dimensional multipole expansions" (PDF). J. Inequal. Spec. Func. 3 (3). Arfken, G.B.; Weber, H.J. (2001), Mathematical methods for physicists, Academic
Associated Legendre polynomials
Associated_Legendre_polynomials
Curved path of an object around a point
pp. 355–356. ISBN 978-0-691-24422-8. Chao, B. F.; Shih, S. A. (2021). "Multipole Expansion: Unifying Formalism for Earth and Planetary Gravitational Dynamics"
Orbit
Special mathematical functions defined on the surface of a sphere
theoretical and practical applications, including the representation of multipole electrostatic and electromagnetic fields, electron configurations, gravitational
Spherical_harmonics
Magnetic confinement device used to produce thermonuclear fusion power
the multipole design. While moderately successful on their own, T-3 greatly outperformed either machine. Bishop was concerned that the multipoles were
Tokamak
cross sections and for investigation of plasma confinement in toroidal multipoles." 1980 Thomas H. Stix United States "For his contributions to the development
James Clerk Maxwell Prize for Plasma Physics
James_Clerk_Maxwell_Prize_for_Plasma_Physics
metals, oxides, minerals, and organic molecules. The models reproduce multipole moments internal to a chemical compound on the basis of experimental data
Interface_force_field
Chemical element with atomic number 4 (Be)
and its diamagnetic nature keeps it from interfering with the complex multipole magnet systems used to steer and focus the particle beams. Because of
Beryllium
Form of electric spacecraft propulsion
molecules) to create thrust in accordance with momentum conservation. The method of accelerating the ions varies, but all designs take advantage of the charge/mass
Ion_thruster
Minimum energy required to separate particles within a nucleus
neutron only for an electric quadrupole (− + + −) arrangement. Higher multipoles, needed to satisfy more protons, cause weaker attraction, and quickly
Nuclear_binding_energy
Equation used for physiological interfaces, polymer science, and semiconductors
based Poisson–Boltzmann solver CHARMM-GUI: PBEQ Solver AFMPB Adaptive Fast Multipole Poisson–Boltzmann Solver, free and open-source Global classical solutions
Poisson–Boltzmann_equation
Concept in the physics of electromagnetism
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
Magnetic_moment
Fusion reactor design
4,826,646, "Method and apparatus for controlling charged particles", issued May 2, 1989, p.12. Sadowski, M. (1969). "Spherical Multipole Magnets for Plasma
Polywell
American physicist
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
Robert_L._Hirsch
Proposed technological device
maximization of forward scattering via interference of the radiation multipoles. They show explicitly that the necessary condition to realize a negative
Tractor_beam
Database designed to store chemical information
of inertia, ray-tracing histograms, maximum distance histograms, shape multipoles to name a few. Large databases, such as PubChem and ChemSpider, have graphical
Chemical_database
Pair of polynomial sequences
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 ) .
Chebyshev_polynomials
MAASP – maximum acceptable [or allowable] annular surface pressure MAC – multipole acoustic log or multiarm caliper log MACL – multiarm caliper log MAE –
List of abbreviations in oil and gas exploration and production
List_of_abbreviations_in_oil_and_gas_exploration_and_production
English chemist (born 1948)
resonance spectrum of the Escherichia coli galactose binding protein using a multipole shielding polarizability-local reaction field-molecular dynamics approach"
Eric_Oldfield_(academic)
Airtight seal which joins glass and metal surfaces
glass structure and method of forming same", published 1919 US 1294466, Houskeeper, W.G., "Combined metal and glass structure and method of making same"
Glass-to-metal_seal
Number of transistors in a device
used about 400-450 binary relays, 6-8 panels, and ten multiposition, multipole relays called "crossbars" for temporary storage of numbers. "1953: Transistorized
Transistor_count
FAST MULTIPOLE-METHOD
FAST MULTIPOLE-METHOD
Girl/Female
Egyptian
Personification of the heat of the sun.
Boy/Male
Gujarati, Indian
Hand
Female
Egyptian
, Child of Bast.
Female
Egyptian
, impulse, motion.
Boy/Male
Norse
Firm.
Surname or Lastname
English (East Anglia)
English (East Anglia) : unexplained.
Surname or Lastname
English (East Anglia)
English (East Anglia) : unexplained.
Boy/Male
Arabic, Muslim, Pashtun
Gul - Flowers; Mast - Excitement
Boy/Male
Italian Latin
Lucky.
Boy/Male
Hindu, Indian, Tamil
Multiple
Biblical
which is before or in front of a person
Boy/Male
French, German, Indian, Italian, Latin
Lucky; Fortunate; Enjoying Good Luck
Surname or Lastname
German
German : probably a habitational name from Haste near Wunstorf or Osnabrück.Dutch : nickname from Middle Dutch haest ‘hasty’.Swedish : soldier’s name, from hast ‘haste’, ‘hurry’.English (Lancashire and Yorkshire) : reduced form of Hayhurst.
Boy/Male
Australian, Vietnamese
Many; Multiple
Surname or Lastname
English
English : from Old French enfant ‘child’, hence a nickname for someone of a childish (or childlike) disposition. This name arose when, in medieval England, Anglo-Norman French l’enfant was wrongly understood as le fant.Italian : Venetian variant of Infante.
Surname or Lastname
English (East Anglia)
English (East Anglia) : metonymic occupational name for a cobbler, or perhaps a metonymic occupational name for a maker of cobblers’ lasts (see Laster).German and Jewish (Ashkenazic) : metonymic occupational name for a porter, from Middle High German last; German Last or Yiddish last ‘burden’, ‘load’.Dutch : metonymic occupational name as in 2, from Middle Dutch last ‘load’, ‘burden’; or a nickname for an awkward character, from Dutch last ‘trouble’, ‘nuisance’.French : habitational name from a place so named in Puy-de-Dôme.
Girl/Female
Latin
Fortunate.
Surname or Lastname
Americanized spelling of German Kast.English (Essex, Kent)
Americanized spelling of German Kast.English (Essex, Kent) : possibly a nickname from Norman caste ‘chaste’, ‘virtuous’ (from Old French chaste).Possibly an altered spelling of French Caste, cognate with 2.
Surname or Lastname
English (East Anglia)
English (East Anglia) : unexplained.
Surname or Lastname
English
English : topographic name for someone who lived in the eastern part of a town or settlement, or outside it to the east, or a regional name for someone who had migrated from the east of a place. As an American family name, this surname has absorbed various other European names with similar meaning.
FAST MULTIPOLE-METHOD
FAST MULTIPOLE-METHOD
Girl/Female
Muslim
Angel, Houri, Nymph
Girl/Female
Tamil
Princess
Boy/Male
Australian, French, Latin, Spanish
Eagle
Boy/Male
Indian, Sanskrit
Beneficial
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi
Prize
Girl/Female
Tamil
Satisfied, Satisfaction
Girl/Female
Tamil
New
Girl/Female
Indian
Smile
Girl/Female
Indian, Sikh
Filled with Fragrance
Girl/Female
Tamil
Collection
FAST MULTIPOLE-METHOD
FAST MULTIPOLE-METHOD
FAST MULTIPOLE-METHOD
FAST MULTIPOLE-METHOD
FAST MULTIPOLE-METHOD
v. t.
To strike with the fist.
v.
Firm in adherence; steadfast; not easily separated or alienated; faithful; as, a fast friend.
v.
Moving rapidly; quick in mition; rapid; swift; as, a fast horse.
v. t.
To shape with a last; to fasten or fit to a last; to place smoothly on a last; as, to last a boot.
imp. & p. p.
of Cast
v.
Firmly fixed; closely adhering; made firm; not loose, unstable, or easily moved; immovable; as, to make fast the door.
a.
In a fast or rapid manner; quickly; swiftly; extravagantly; wildly; as, to run fast; to live fast.
v. i.
A time of fasting, whether a day, week, or longer time; a period of abstinence from food or certain kinds of food; as, an annual fast.
n.
The week last past; last week.
n.
The year last past; last year.
a.
Toward the rising sun; or toward the point where the sun rises when in the equinoctial; as, the east gate; the east border; the east side; the east wind is a wind that blows from the east.
a.
Consisting of many, or of more than one; multiple; multifold.
v. t.
To gripe with the fist.
v.
Permanent; not liable to fade by exposure to air or by washing; durable; lasting; as, fast colors.
v. i.
To cast anchor; to become fast.
a.
Manifold; multiple.
n.
The last night; the night last past.
v.
Given to pleasure seeking; disregardful of restraint; reckless; wild; dissipated; dissolute; as, a fast man; a fast liver.
a.
In a fast, fixed, or firmly established manner; fixedly; firmly; immovably.
n.
The fist.