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Fluid dynamics problem
In fluid dynamics, Rayleigh problem also known as Stokes first problem is a problem of determining the flow created by a sudden movement of an infinitely
Rayleigh_problem
British physicist (1842–1919)
John William Strutt, 3rd Baron Rayleigh (/ˈreɪli/ RAY-lee; 12 November 1842 – 30 June 1919), was a British physicist and hereditary peer who received the
John William Strutt, 3rd Baron Rayleigh
John_William_Strutt,_3rd_Baron_Rayleigh
Concept in partial differential equations
there is no distinguished length scale given in the problem. This is known as the Rayleigh problem. The boundary conditions of no-slip is u ( y = 0 ) =
Self-similar_solution
Probability distribution
In probability theory and statistics, the Rayleigh distribution is a continuous probability distribution for nonnegative-valued random variables. Up to
Rayleigh_distribution
Construct for Hermitian matrices
In mathematics, the Rayleigh quotient (/ˈreɪ.li/) for a given complex Hermitian matrix M {\displaystyle M} and nonzero vector x {\displaystyle x} is defined
Rayleigh_quotient
Rayleigh and Brace Rayleigh bandwidth Rayleigh beamwidth Rayleigh–Carson reciprocity Rayl, rayl or Rayleigh Rayleigh–Faber–Krahn inequality Rayleigh–Jeans
List of things named after Lord Rayleigh
List_of_things_named_after_Lord_Rayleigh
Type of surface acoustic wave which travels along the surface of solids
In solid mechanics, Rayleigh waves are a type of surface acoustic wave that travel along the surface of solids. They can be produced in materials in many
Rayleigh_wave
Type of heat transfer within fluids
In fluid thermodynamics, Rayleigh–Bénard convection is a type of natural convection, occurring in a planar horizontal layer of fluid heated from below
Rayleigh–Bénard_convection
Classical physics prediction that black body radiation grows unbounded with frequency
The ultraviolet catastrophe, also called the Rayleigh–Jeans catastrophe, was the prediction of late 19th century and early 20th century classical physics
Ultraviolet_catastrophe
Method for approximating eigenvalues
originated in the context of solving physical boundary-value problems. It is named after Lord Rayleigh and Walther Ritz. In this method, an infinite-dimensional
Rayleigh–Ritz_method
Oscillating boundary layer over a plate
plane is μ U ℜ { k csc k h } {\displaystyle \mu U\Re \{k\csc kh\}} . Rayleigh problem Wang, C. Y. (1991). "Exact solutions of the steady-state Navier-Stokes
Stokes_problem
Unstable behavior of two contacting fluids of different densities
The Rayleigh–Taylor instability, or RT instability (after Lord Rayleigh and G. I. Taylor), is an instability of an interface between two fluids of different
Rayleigh–Taylor_instability
Theoretical model of shear fluid flow
In fluid dynamics, Rayleigh's equation or Rayleigh stability equation is a linear ordinary differential equation to study the hydrodynamic stability of
Rayleigh's equation (fluid dynamics)
Rayleigh's_equation_(fluid_dynamics)
increases. Rayleigh, Lord Rayleigh, and 3rd Baron Rayleigh are the titles of John William Strutt, after the death of his father, the 2nd Baron Rayleigh. Lord
Rayleigh theorem for eigenvalues
Rayleigh_theorem_for_eigenvalues
Measurement of viscosity in fluid dynamics
_{2}}{\Omega _{1}}},\quad \eta ={\frac {R_{1}}{R_{2}}}.} Lord Rayleigh studied the stability of the problem with inviscid assumption i.e., perturbing Euler equations
Taylor–Couette_flow
stiffness matrices are known, the Rayleigh quotient can be derived starting from the equation of motion. The eigenvalue problem for a general system of the
Rayleigh's quotient in vibrations analysis
Rayleigh's_quotient_in_vibrations_analysis
varied by varying the pendulum length), named after Lord Rayleigh and Hendrik Lorentz. This problem formed the basis for the concept of adiabatic invariants
Rayleigh–Lorentz_pendulum
Ordinary differential equation
In fluid mechanics, the Rayleigh–Plesset equation or Besant–Rayleigh–Plesset equation is a nonlinear ordinary differential equation which governs the dynamics
Rayleigh–Plesset_equation
Scattering of an electromagnetic plane wave by a sphere
weakly. This is in contrast to Rayleigh scattering for small particles and Rayleigh–Gans–Debye scattering (after Lord Rayleigh, Richard Gans and Peter Debye)
Mie_scattering
Class of ordinary differential equations
In mathematics and its applications, a Sturm–Liouville problem is a second-order linear ordinary differential equation of the form d d x [ p ( x ) d y
Sturm–Liouville_theory
Range of physical processes in physics
diameters, the problem of electromagnetic scattering by spheres was first solved by Gustav Mie, and scattering by spheres larger than the Rayleigh range is
Scattering
Numerical method for solving physical or engineering problems
drawing on a large body of earlier results for PDEs developed by Lord Rayleigh, Walther Ritz, and Boris Galerkin. The application of FEM gained momentum
Finite_element_method
Meyer Rayleigh flow Inviscid compressible flow with heat transfer Lord Rayleigh Rayleigh problem Flow due to sudden movement of a wall Lord Rayleigh Schlichting
List of fluid flows named after people
List_of_fluid_flows_named_after_people
Eigenvalue algorithm
Rayleigh quotient iteration is an eigenvalue algorithm which extends the idea of the inverse iteration by using the Rayleigh quotient to obtain increasingly
Rayleigh_quotient_iteration
Method for finding largest (or smallest) eigenvalues
multi-step steepest descent for eigenvalue problems was described in. Local minimization of the Rayleigh quotient on the subspace spanned by the current
LOBPCG
Belgian physicist (1801–1883)
and the Google App. Patterns in nature Plateau's laws Plateau's problem Plateau–Rayleigh instability Soap bubble Stretched grid method O'Connor, John J
Joseph_Plateau
Instrument used to test for color blindness and color anomaly
that the anomaloscope is defined to. There are four different matches: Rayleigh Match – a test light at 589 nm (yellow) and mixture lights at 545 nm (yellow-green)
Anomaloscope
Supplementary feature of clouds
and the mammatus environment is usually at least somewhat turbulent. Rayleigh–Taylor instability is the name given to the instability that exists between
Mammatus_cloud
Analysis of the dimensions of different physical quantities
the first time in this way in 1872 by Lord Rayleigh, who was trying to understand why the sky is blue. Rayleigh first published the technique in his 1877
Dimensional_analysis
Elastic waves propagating in solid plates or spheres
testing. The term Rayleigh–Lamb waves embraces the Rayleigh wave, a type of wave that propagates along a single surface. Both Rayleigh and Lamb waves are
Lamb_waves
Vibrational energy transfer in Earth or other planetary body
earthquakes can have globally observable amplitude of several centimeters. Rayleigh waves, also called ground roll, are surface waves that propagate with motions
Seismic_wave
Equation for the force of drag
coefficient related to the object's geometry. The equation is attributed to Lord Rayleigh, who originally used L2 in place of A (with L being some linear dimension)
Drag_equation
Prior to Taylor and Culick's work, A. Dupre (1867) and Lord Rayleigh studied this problem. Taylor, G. I. (1959). The dynamics of thin sheets of fluid
Taylor–Culick_speed
1) may be calculated by applying a variational method (in our case the Rayleigh-Ritz variational method, explained in the next paragraph) to determine
Resonant ultrasound spectroscopy
Resonant_ultrasound_spectroscopy
Physical constant in quantum mechanics
k_{\text{B}}} from the same data and theory. The black-body problem was revisited in 1905, when Lord Rayleigh and James Jeans (together) and Albert Einstein independently
Planck_constant
Phenomenon of fluid mechanics
Fluid mechanics Kármán vortex street Mushroom cloud Plateau–Rayleigh instability Rayleigh–Taylor instability Reynolds number Richtmyer–Meshkov instability
Kelvin–Helmholtz_instability
Integers formed by rounding down the integer multiples of a positive irrational number
after Samuel Beatty, who wrote about them in 1926. Rayleigh's theorem, named after Lord Rayleigh, states that the complement of a Beatty sequence, consisting
Beatty_sequence
Branch of thermodynamics
Computational thermodynamics is the use of computers to simulate thermodynamic problems specific to materials science, particularly used in the construction of
Computational_thermodynamics
Differential calculus on function spaces
u_{1}(x)} . This variational characterization of eigenvalues leads to the Rayleigh–Ritz method: choose an approximating u {\displaystyle u} as a linear combination
Calculus_of_variations
Matrix equal to its conjugate-transpose
known as the Rayleigh–Ritz ratio; named after Walther Ritz and Lord Rayleigh. Parlett, Beresford N. (1998). The symmetric eigenvalue problem. Classics in
Hermitian_matrix
Unobstructed view upward from Earth
caused by scattering, which is dominated by a small-particle limit called Rayleigh scattering. The scattering due to molecule-sized particles (as in air)
Sky
Chaotic model of atmospheric convection
representing physical properties of the system: σ is the Prandtl number, ρ is the Rayleigh number, and β relates to the physical dimensions of the fluid layer itself
Lorenz_system
Chemical reaction between a fuel and oxygen
instability. The Rayleigh Criterion is the basis for analysis of thermoacoustic combustion instability and is evaluated using the Rayleigh Index over one
Combustion
Scales to describe earthquake strength
waves propagate along the Earth's surface, and are principally either Rayleigh waves or Love waves. For shallow earthquakes the surface waves carry most
Seismic_magnitude_scales
Simplification for simulating fluids under natural convection
generally used dimensionless number would be the Richardson number and Rayleigh number. The mathematics of the flow is therefore simpler because the density
Boussinesq approximation (buoyancy)
Boussinesq_approximation_(buoyancy)
Numerical methods for matrix eigenvalue calculation
In numerical analysis, one of the most important problems is designing efficient and stable algorithms for finding the eigenvalues of a matrix. These eigenvalue
Eigenvalue_algorithm
Solar radiation reaching the Earth's surface
explanation of blue color by Lord Rayleigh in 1871 is a famous example of applying dimensional analysis to solving problems in physics. Scattering and absorption
Diffuse_sky_radiation
Phenomenon in physics
within a Kundt's tube. Acoustic streaming was explained first by Lord Rayleigh in 1884. It is the less-known opposite of sound generation by a flow. There
Acoustic_streaming
Mathematical approach to quantum physics
eigenvalue problem]. Annalen der Physik (in German). 80 (13): 437–490. Bibcode:1926AnP...385..437S. doi:10.1002/andp.19263851302. Rayleigh, J. W. S. (1894)
Perturbation theory (quantum mechanics)
Perturbation_theory_(quantum_mechanics)
Room in which sound echoes and is magnified in an unusual way
waves. Acoustic mirror Parabolic loudspeaker Room acoustics Lord Rayleigh, The problem of the whispering gallery, Philos. Mag. 20, 1001,1910. O. Wright
Whispering_gallery
Luminescence induced by sound waves
is characterized to a first approximation by the Rayleigh–Plesset equation (named after Lord Rayleigh and Milton Plesset): R R ¨ + 3 2 R ˙ 2 = 1 ρ ( P
Sonoluminescence
Subfield of fluid dynamics
theoretical and experimental, were laid most notably by Helmholtz, Kelvin, Rayleigh and Reynolds during the nineteenth century. These foundations have given
Hydrodynamic_stability
Method of spatial measurement using laser
of scattering are used for different lidar applications: most commonly Rayleigh scattering, Mie scattering, Raman scattering, and fluorescence. Suitable
Lidar
Stability condition for fluids
The Rayleigh–Kuo criterion (sometimes called the Kuo criterion) is a stability condition for a fluid. This criterion determines whether or not a barotropic
Rayleigh–Kuo_criterion
high-speed railway trains travelling at speeds higher than the velocity of Rayleigh surface waves in the supporting ground. This phenomenon, which is similar
Ground_vibration_boom
In fluid dynamics, Janzen–Rayleigh expansion represents a regular perturbation expansion using the relevant mach number as the small parameter of expansion
Janzen–Rayleigh_expansion
Theorem in classical electromagnetism
such as Rayleigh-Carson reciprocity), named after work by Hendrik Lorentz in 1896 following analogous results regarding sound by Lord Rayleigh and light
Reciprocity (electromagnetism)
Reciprocity_(electromagnetism)
Field of engineering
improve the approximation of stress constraints. Canfield developed a Rayleigh quotient approximation to improve the accuracy of eigenvalue approximations
Multidisciplinary design optimization
Multidisciplinary_design_optimization
Absorption of electromagnetic radiation by ozone
Huggins absorptions, Chappuis absorption is distinctly weaker. Along with Rayleigh scattering, it contributes to the blue color of the sky, and is noticeable
Chappuis_absorption
Concept in physics
the Michelson–Rayleigh line, named after the Russian physicist Vladimir A. Mikhelson (usually anglicized as Michelson) and Lord Rayleigh, that has a negative
Rankine–Hugoniot_conditions
Transforms equations for numerical solution
for linear system. Finally, formulating the eigenvalue problem as optimization of the Rayleigh quotient brings preconditioned optimization techniques
Preconditioner
Scientific principles enabling the use of the calculus of variations
topological entropy and Kolmogorov-Sinai entropy. The Rayleigh–Ritz method for solving boundary-value problems in elasticity and wave propagation Fermat's principle
Variational_principle
Approach to controlled thermonuclear reactions combining the two main research paradigms
Shanny, believing Velikhov was saying spinning would address Rayleigh-Taylor problems, performed the calculations and found that it did indeed stabilize
Magneto-inertial_fusion
Monochrome light beam whose amplitude envelope is a Gaussian function
reaching an extremum at the Rayleigh distance, z = ±zR (maximum for z = +zR, minimum for z = -zR). Beyond the Rayleigh distance, |z| > zR, the curvature
Gaussian_beam
Light-conducting fiber
telecommunications, Rayleigh scattering is the dominant loss mechanism. At 1550 nm attenuation components for a record low loss fiber are given as follows: Rayleigh scattering
Optical_fiber
Matrix decomposition
actually computed before the eigenvalue (which is typically computed by the Rayleigh quotient of the eigenvector). In the QR algorithm for a Hermitian matrix
Eigendecomposition of a matrix
Eigendecomposition_of_a_matrix
Motorcycle speedway team
the home of Rayleigh Rockets at the Rayleigh Weir Stadium, which led to some match reports as the team being called Rayleigh II or Rayleigh Rovers. The
Southern_Rovers
Indian physicist (1888–1970)
of liquids. It was alongside Lord Rayleigh's paper on the sensitivity of ear to sound, and from which Lord Rayleigh started to communicate with Raman
C._V._Raman
Generic name for a relatively persistent vibration of the ground
the wavefield (Rayleigh, Love waves, interpretation of higher modes...) Plane wave assumption for most of the array methods (problem of sources within
Seismic_noise
American mathematician
Ph.D. students, Knyazev pioneered using majorization for bounds in the Rayleigh–Ritz method (see and references there) and contributed to the theory of
Andrei Knyazev (mathematician)
Andrei_Knyazev_(mathematician)
Mathematical optimization method
{\displaystyle A} , 1 / α L O N G {\displaystyle 1/\alpha ^{LONG}} is the Rayleigh quotient of A {\displaystyle A} by vector Δ x {\displaystyle \Delta x}
Barzilai–Borwein_method
Paradox by d'Alembert on fluid dynamics
important at high Reynolds numbers. The model proposed by Kirchhoff and Rayleigh was based on the free-streamline theory of Helmholtz and consists of a
D'Alembert's_paradox
Term in wireless communications
transformation. Typically the slowly-varying channels based on jakes model of Rayleigh spectrum is used for block fading in an OFDM system. Selective fading or
Fading
Horizontally polarized surface waves
waves), or Rayleigh waves (another type of surface wave). Love waves travel with a lower velocity than P- or S- waves, but faster than Rayleigh waves. These
Love_wave
Spectral density of light emitted by a black body
of low frequencies (i.e. long wavelengths), Planck's law tends to the Rayleigh–Jeans law, while in the limit of high frequencies (i.e. small wavelengths)
Planck's_law
German-born theoretical physicist (1879–1955)
scattered, making the fluid look milky white. Einstein relates this to Rayleigh scattering, which is what happens when the fluctuation size is much smaller
Albert_Einstein
Unidentified phenomenon at Hessdalen valley in Norway
At low frequencies self-absorption modifies the spectrum to follow the Rayleigh–Jeans part of the blackbody curve. Such a spectrum is typical of dense
Hessdalen_lights
Collection of mathematical theories
the Rayleigh quotient with respect to a matrix M. Theorem Let M be a symmetric matrix and let x be the non-zero vector that maximizes the Rayleigh quotient
Spectral_theory
it is commonly used to study the Sturm–Liouville problem. Min-max theorem Max–min inequality Rayleigh quotient Courant, Richard; Hilbert, David (1989)
Courant_minimax_principle
Method in ab initio Quantum Chemistry
Hartree–Fock method by adding electron correlation effects by means of Rayleigh–Schrödinger perturbation theory (RS-PT), usually to second (MP2), third
Møller–Plesset perturbation theory
Møller–Plesset_perturbation_theory
Physical phenomenon
Elastic surface waves can travel along the surface of solids, such as Rayleigh or Love waves. Electromagnetic waves can also propagate as "surface waves"
Surface_wave
result which optimizes Rayleigh quotient. One way of maximizing Rayleigh quotient is through solving the Generalized Eigen Problem. Dimension reduction
Eigenmoments
Orr–Sommerfeld equation Porous medium equation Potential flow Rayleigh–Bénard convection Rayleigh–Plesset equation Reynolds-averaged Navier–Stokes (RANS) equations
List of named differential equations
List_of_named_differential_equations
Structure that guides waves efficiently
electromagnetic waves in a metal cylinder was performed by Lord Rayleigh in 1897. For sound waves, Lord Rayleigh published a full mathematical analysis of propagation
Waveguide
Concept in radio communication
the various paths have a distribution known as the Rayleigh distribution, this is known as Rayleigh fading. Where one component (often, but not necessarily
Multipath_propagation
Structure formed by diffuse material in orbital motion around a massive central body
should be transported outward for matter to accrete. According to the Rayleigh stability criterion, ∂ ( R 2 Ω ) ∂ R > 0 , {\displaystyle {\frac {\partial
Accretion_disk
algorithm Rayleigh quotient iteration Gram–Schmidt process: orthogonalizes a set of vectors Krylov methods (for large sparse matrix problems; third most-important
List_of_algorithms
English musician and singer-songwriter (1955–2019)
career. In 1962, his family moved from London to Rayleigh, Essex. In 1966, Hollis started at Rayleigh's Sweyne Grammar School, now The Sweyne Park School
Mark_Hollis
Mechanical oscillations about an equilibrium point
frequencies can be estimate when the mode shapes are not known using the Rayleigh Quotient. The behavior of the spring mass damper model varies with the
Vibration
Learned society and professional body
IOP moved into this new building 29 October 2018. IOP Publishing Inverse Problems Physical Society of London Physics World Science Council "Letter to the
Institute_of_Physics
Mathematical algorithms
isoperimetric problems sprung and other symmetrization algorithms. For example, Rayleigh's conjecture is that the first eigenvalue of the Dirichlet problem is minimized
Symmetrization_methods
Concept in linear algebra
Generalized eigenvalue problem Generalized pencil-of-function method Nonlinear eigenproblem Quadratic eigenvalue problem Generalized Rayleigh quotient Golub &
Matrix_pencil
Road in Essex, England
Steeple View). 2 miles (3.2 km) further on is the A129 exit to Rayleigh and Hadleigh (Rayleigh Weir underpass, built 4 December 1989 to early 1992), which
A127_road
Sensory organ of vision
North Africa, and South America. Hazel eyes are due to a combination of Rayleigh scattering and a moderate amount of melanin in the iris' anterior border
Human_eye
Strain caused by an external load
overestimate the natural frequencies of beams and was improved marginally by Rayleigh in 1877 by the addition of a mid-plane rotation. In 1921 Stephen Timoshenko
Bending
Branch of dynamics concerned with studying the motion of air
were developed by Jean Le Rond d'Alembert, Gustav Kirchhoff, and Lord Rayleigh. In 1889, Charles Renard, a French aeronautical engineer, became the first
Aerodynamics
Low-pressure voids formed in liquids
can occur even if the rarefaction in the liquid is insufficient for a Rayleigh-like void to occur. Ultrasonic cavitation inception will occur when the
Cavitation
Senior faculty position in physics at the University of Cambridge
his tenure, and he died in 1879, aged 48. John William Strutt, 3rd Baron Rayleigh replaced Maxwell immediately upon his death, being universally agreed upon
Cavendish Professor of Physics
Cavendish_Professor_of_Physics
Classical solution for inviscid, incompressible flow around a cylinder
The problem of potential compressible flow over circular cylinder with a no-slip condition was first studied by O. Janzen in 1913 and by Lord Rayleigh in
Potential flow around a circular cylinder
Potential_flow_around_a_circular_cylinder
Frequency change of a wave for observer relative to its source
the speed of sound, the resulting shock wave creates a sonic boom. Lord Rayleigh predicted the following effect in his classic book on sound: if the observer
Doppler_effect
RAYLEIGH PROBLEM
RAYLEIGH PROBLEM
Boy/Male
Anglo, British, English
From the Red Meadow
Boy/Male
Australian, British, English
Bailiff; Sherriff's Officer; From the Outer Castle Wall Meadow
Girl/Female
American, Australian, British, Chinese, Christian, English
Hay Meadow / Valley; Hay Field
Girl/Female
American, Australian, Chinese
Rye Field
Boy/Male
Anglo, Australian, British, English
From the Roe Deer Meadow
Female
Scottish
Feminine form of Scottish unisex Kyle, KYLEIGH means "slender."Â Compare with another form of Kyleigh.
Surname or Lastname
English
English : variant spelling of Wadley.
Boy/Male
English American
From the roe deer meadow.
Female
English
Variant spelling of English Kayley, KAYLEIGH means "slender."
Female
English
Variant spelling of English Kayley, CALEIGH means "slender."
Surname or Lastname
English
English : habitational name from any of various places named Farleigh, of which there are examples in Hampshire, Kent, Somerset, Surrey, and Wiltshire, from Old English as fearn ‘fern’ + lēah ‘woodland clearing’. See also Farley, Fairley, Fairlie.
Female
English
Variant spelling of English Hayley, HAYLEIGH means "hay field."
Girl/Female
American, British, Chinese, Christian, English, German, Greek, Irish, Jamaican
Combination of Kay and Leigh; Keeper of the Keys; Descendant of Caollaidhe; Slim and Fair; Slender
Surname or Lastname
English
English : habitational name from Raleigh in Devon, recorded in Domesday Book as Radeleia, from Old English rēad ‘red’ + lēah ‘wood’, ‘clearing’.The English explorer Sir Walter Raleigh (1554–1618) was born in Hayes Barton, Devon, into a family of Devon gentry. He was related to most of the West Country’s important families, including that of Sir Francis Drake. His half-brother was the explorer Sir Humphrey Gilbert. In 1578 Raleigh was granted a patent to explore and colonize “unknown lands†in America.
Girl/Female
English American
and Kayla. Keeper of the keys; pure.
Boy/Male
English Irish
Island meadow.
Female
English
Variant spelling of English Kayley, KALEIGH means "slender."
Female
English
Variant spelling of English Hayley, HALEIGH means "hay field."
Female
English
Variant spelling of English Kayleigh, CAILEIGH means "slender."
Boy/Male
American, Anglo, British, Christian, English, French, Hindu, Indian
Deer Meadow; From the Roe Deer Meadow
RAYLEIGH PROBLEM
RAYLEIGH PROBLEM
Boy/Male
Tamil
Hare Krishna | ஹரேகரஷà¯à®£
Lord Krishna
Girl/Female
American, Australian, British, English
White Wave; God has been Gracious; Variant of Jenny which is a Diminutive of Jane and Jennifer
Female
English
English form of Latin Dorothea, DOROTHY means "gift of God."
Girl/Female
Hindu, Indian, Marathi
Extremely Diligent
Boy/Male
English
Secretary; chancellor.
Boy/Male
Hindu
Pure & innocent
Boy/Male
Muslim
Fountain, Spring
Male
Norse
Old Norse name composed of the elements gunnr "battle, fight" and arr "army, war," hence "soldier, warrior." In mythology, this is the name of the husband of Brynhildr.
Girl/Female
Indian
Good omen
Boy/Male
Hindu
Supreme spirit, Big soul
RAYLEIGH PROBLEM
RAYLEIGH PROBLEM
RAYLEIGH PROBLEM
RAYLEIGH PROBLEM
RAYLEIGH PROBLEM
n.
The quality or state of being solvable; as, the solvability of a difficulty; the solvability of a problem.
v. t.
To explain; to resolve; to unfold; to clear up (what is obscure or difficult to be understood); to work out to a result or conclusion; as, to solve a doubt; to solve difficulties; to solve a problem.
n.
To cause to stick; to bring to a stand; to pose; to puzzle; as, to stick one with a hard problem.
n.
A problem to be solved, or an example to be wrought out.
n.
A certain function relating to a system of forces and their points of application, -- first used by Clausius in the investigation of problems in molecular physics.
n.
One who proposes problems.
a.
Liable to question; subject to be doubted or called in question; problematical; doubtful; suspicious.
a.
Questionable; equivocal; indefinite; problematical.
a.
Having the nature of a problem; not shown in fact; questionable; uncertain; unsettled; doubtful.
v. t.
To have just and adequate ideas of; to apprehended the meaning or intention of; to have knowledge of; to comprehend; to know; as, to understand a problem in Euclid; to understand a proposition or a declaration; the court understands the advocate or his argument; to understand the sacred oracles; to understand a nod or a wink.
n.
The act of solving, or the state of being solved; the disentanglement of any intricate problem or difficult question; explanation; clearing up; -- used especially in mathematics, either of the process of solving an equation or problem, or the result of the process.
v. t.
To propose problems.
a.
Susceptible of being solved; as, a soluble algebraic problem; susceptible of being disentangled, unraveled, or explained; as, the mystery is perhaps soluble.
n.
An instrument of the ancients for finding two mean proportionals between two given lines, required in solving the problem of the duplication of the cube.
n.
To begin to deal with; as, to tackle the problem.
v. i.
To work, as at a puzzle; as, to puzzle over a problem.
n.
The quality, condition, or degree of being soluble or solvable; as, the solubility of a salt; the solubility of a problem or intricate difficulty.
n.
A problem of more than usual difficulty added to another on an examination paper.
a.
Single; not complex; not infolded or entangled; uncombined; not compounded; not blended with something else; not complicated; as, a simple substance; a simple idea; a simple sound; a simple machine; a simple problem; simple tasks.
a.
Alt. of Problematical