DOSEN PROFIL LENGKAP

Homogeneity and heterogeneity are concepts relating to the uniformity of a substance, process or image. A homogeneous feature is uniform in composition...

the ΛCDM model, or is the universe inhomogeneous or anisotropic? More unsolved problems in physics An inhomogeneous cosmology is a physical cosmological...

In statistics, a sequence of random variables is homoscedastic (/ˌhoʊmoʊskəˈdæstɪk/) if all its random variables have the same finite variance; this is...

Poisson point process. In the second case, the point process is called an inhomogeneous or nonhomogeneous Poisson point process, and the average density of...

the "trivial solution" y = 0 {\displaystyle y=0} . Nonhomogeneous (or inhomogeneous) A linear differential equation is nonhomogeneous if r ( x ) ≠ 0 {\displaystyle...

In mathematics, a homogeneous space is, very informally, a space that looks the same everywhere as one moves through it, with movement given by the action...

on the RHS. In contrast, an equation with a non-zero RHS is called inhomogeneous or non-homogeneous, as exemplified by Lf = g, with g a fixed function...

\over \partial r}={1 \over ir}{\partial f \over \partial \theta }.} The inhomogeneous Cauchy–Riemann equations consist of the two equations for a pair of...

In mathematics, a homogeneous polynomial, sometimes called quantic in older texts, is a polynomial whose nonzero terms all have the same degree. For example...

integral is an exact solution to the paraxial Helmholtz equation. The inhomogeneous Helmholtz equation is the equation ∇ 2 A ( x ) + k 2 A ( x ) = − f (...

narrow Lorentzian that is significantly broadened is a Gaussian. If inhomogeneous broadening dominates homogeneous, Spectral hole burning may be used...

constants, is a general method to solve inhomogeneous linear ordinary differential equations. For first-order inhomogeneous linear differential equations it...

radiation, is the bending of sound propagation trajectories (rays) in inhomogeneous elastic media (gases, liquids, and solids) in which the wave velocity...

In affine geometry, uniform scaling (or isotropic scaling) is a linear transformation that enlarges (increases) or shrinks (diminishes) objects by a scale...

vector representation of it; it is sometimes dubbed, informally, as the inhomogeneous Lorentz group. In turn, it can also be obtained as a group contraction...

potential. ( Δ E ∼ 1 / r 6 ) {\displaystyle (\Delta E\sim 1/r^{6})} Inhomogeneous broadening is a general term for broadening because some emitting particles...

{1}{2c}}\int _{x-ct}^{x+ct}h(\xi )\,d\xi .} The general form of an inhomogeneous canonical hyperbolic type differential equation takes the form of: u...

The grand potential or Landau potential or Landau free energy is a quantity used in statistical mechanics, especially for irreversible processes in open...

that may occur in media that are both anisotropic and inhomogeneous, such as an inhomogeneous anisotropic birefringent waveplate. Q-plates are also currently...

Duhamel's principle is a general method for obtaining solutions to inhomogeneous linear evolution equations like the heat equation, wave equation, and...

with spatial rotations and translations in space and time form the inhomogeneous Galilean group (assumed throughout below). Without the translations...

thresholding. They are particularly adapted to cases where images have inhomogeneous lighting, such as in the sudoku image on the right. In those cases,...

the inhomogeneous dephasing can be removed by applying a 180° inversion pulse that inverts the magnetisation vectors. Examples of inhomogeneous effects...

In mathematics, a homogeneous function is a function of several variables such that the following holds: If each of the function's arguments is multiplied...

observed in solid solutions and liquid sols that involves the change of an inhomogeneous structure over time, in that small crystals or sol particles first dissolve...

In electromagnetism and applications, an inhomogeneous electromagnetic wave equation, or nonhomogeneous electromagnetic wave equation, is one of a set...

homogeneous medium, an approximation in an inhomogeneous medium. A matrix representation for an inhomogeneous medium was presented using a pair of matrix...

field of a heterogeneous planet such as Earth is deformed due to the inhomogeneous spatial distribution of materials with different densities. Actual horizontal...

The Stern–Gerlach experiment involves sending silver atoms through an inhomogeneous magnetic field and observing their deflection. Silver atoms were evaporated...

Time-inhomogeneous hidden Bernoulli model (TI-HBM) is an alternative to hidden Markov model (HMM) for automatic speech recognition. Contrary to HMM, the...

averaged Lagrangian description of slowly varying nonlinear wave trains in inhomogeneous media: ∂ ∂ t A + ∇ ⋅ B = 0 , {\displaystyle {\frac {\partial }{\partial...

scatter within the paint layer. Later he generalized the theory to inhomogeneous layers (see below). The Kubelka–Munk theory is also used in the paper...

Green's function (or Green function) is the impulse response of an inhomogeneous linear differential operator defined on a domain with specified initial...

nonlocal effects in a system of gravitating particles, leads to the inhomogeneous Dirichlet boundary problem for the Poisson equation Δ Φ ( x ) = A N...

University. Chew's chief contributions are in the areas of waves in inhomogeneous media for various geophysical subsurface sensing and non-destructive...

(A) No disturbing force (B) With an electric field, E (C) With an independent force, F (e.g. gravity) (D) In an inhomogeneous magnetic field, grad H...

r_{2}r_{3}-p_{1}p_{2}r_{1}r_{2}r_{3}=0} Inhomogeneous martini-B (3–5) lattice, bond percolation Inhomogeneous martini lattice with outside enclosing triangle...

and between homogeneous differential equations and inhomogeneous ones, defined above. Inhomogeneous first-order linear constant-coefficient ordinary differential...

Sainte-Barbe. Duhamel's principle, a method of obtaining solutions to inhomogeneous linear evolution equations, is named after him. He was primarily a mathematician...

is a special case of a Sturm–Liouville equation. Consider a general inhomogeneous second-order linear differential equation P ( x ) y ″ + Q ( x ) y ′...

time. Her dissertation was titled, The Study of Light Propagation in Inhomogeneous Universes Using the Gravitational Lensing Method. Richard Matzner was...

sensitivity, but have the disadvantage of producing an inhomogeneous excitation field. This inhomogeneous field causes spatial variations in spin flip angles...

electromagnetic radiation emitted when a charged particle passes through inhomogeneous media, such as a boundary between two different media. This is in contrast...

an inhomogeneous magnetic field, and being deflected up or down depending on their spin; (1) furnace, (2) beam of silver atoms, (3) inhomogeneous magnetic...

to depend on both x {\displaystyle x} and t {\displaystyle t} . The inhomogeneous heat equation models thermal problems in which a heat source modeled...

Stranski-Krastanov growth mode, inhomogeneous line broadening is inherently present that is caused by quantum dot size-dispersion. Inhomogeneous line broadening adversely...

both homogeneous (all ions exhibit the same broadened spectrum) and inhomogeneous (different ions in different glass locations exhibit different spectra)...

sufficiently near equilibrium state, so that they have defined entropy. Some inhomogeneous systems out of thermodynamic equilibrium still satisfy the hypothesis...

Richardson-Gaudin model, physical models of the Riemann Zeros, quantum Hall states, inhomogeneous spin chains, infinite matrix product states, The Prime State, quantum...

materials, ε and μ are constant throughout the material, while for inhomogeneous materials they depend on location within the material (and perhaps time)...

transverse wave with phase velocity approaching zero. In the case of an inhomogeneous fluids (that is, a fluid where at least one of the background quantities...

ellipse smoothly together, one gets a non-conic oval. If one takes the inhomogeneous representation of a conic oval as a parabola plus a point at infinity...

Optics has been translated to Chinese and Persian and his monograph on Inhomogeneous Optical Waveguides (coauthored with Professor Sodha) has been translated...

Implementations of filtering operations for all but the simplest flows are inhomogeneous filter operations. This means that the flow either has non-periodic...

experimentally observed in several ways, e.g. by the deflection of particles by inhomogeneous magnetic fields in a Stern–Gerlach experiment, or by measuring the magnetic...

relativity and theoretical cosmology. His graduate work included studies on inhomogeneous cosmologies, wormholes, exact solutions in general relativity of compact...

the Volterra integral equation which has variable integral limits. An inhomogeneous Fredholm equation of the first kind is written as g ( t ) = ∫ a b K...

in spacetime, is an inhomogeneous Lorentz transformation, an element of the Poincaré group, which is also called the inhomogeneous Lorentz group. A "stationary"...

result in a correctly represented sample. In either the homogeneous or inhomogeneous case, the bias is defined in terms of a prior distribution of distances...

potential that propagates at the speed of light and is the solution to an inhomogeneous wave equation: ∇ 2 V − 1 c 2 ∂ 2 V ∂ t 2 = − ρ ε 0 {\displaystyle \nabla...

simplest example of such devices is inhomogeneous anisotropic birefringent waveplate that performs transversally inhomogeneous polarization transformations of...

from a collection of identical chromophores in a matrix is said to be inhomogeneously broadened because each chromophore is surrounded by a somewhat different...

to find that the rigidity in homogeneous spaces has an echo in the inhomogeneous world of moduli space." Mirzakhani was awarded the Fields Medal in 2014...

emerges before the singularity, effectively covering it. By allowing an inhomogeneous initial density profile, one can demonstrate a significant alteration...

random topographies (landscapes), or composition variations of an inhomogeneous material. This list is currently incomplete. See also Category:Stochastic...

transformation v of Lindblad operators and constants, and also under the inhomogeneous transformation where ai are complex numbers and b is a real number....

considerably by the mass distribution, either if they are homogeneous or inhomogeneous - see Torque, moment of inertia, wobble, imbalance and stability. Bouguer...

imperfections in the microstructure of solids, such as impurities, inhomogeneous strain and crystallographic defects such as dislocations, perfect single...

also in terms of kinetic energy and potential energies of parts of the inhomogeneous system with respect to each other and with respect to long-range external...

10.24 billion years old. The stellar population of this cluster is inhomogeneous, varying with distance from the core. The effective temperature of the...

sources to the wave equations makes the partial differential equations inhomogeneous. The general solution to the electromagnetic wave equation is a linear...

y(t)=e^{At}y_{0}.} The matrix exponential can also be used to solve the inhomogeneous equation d d t y ( t ) = A y ( t ) + z ( t ) , y ( 0 ) = y 0 . {\displaystyle...

discovered by James Dunlop on May 28, 1826. Its stellar population is inhomogeneous, varying with distance from the core. The effective temperature of the...

{\displaystyle \lim _{(x,t)\to (x^{0},0)}u_{t}(x,t)=h(x^{0})} Consider the inhomogeneous wave equation in 1 + D {\displaystyle 1+D} dimensions ( ∂ t t − c 2...

greater) than that of the air, so that the wave is travelling in an inhomogeneous medium. In consequence CPW will not support a true TEM wave; at non-zero...

has a smaller linewidth than might be expected, due to motion in an inhomogeneous system. The discovery of motional narrowing has been attributed to Nicolaas...

isomeric state: the shorter the lifetime, the more broadened the line. Inhomogeneous broadening comprises all mechanisms by which the homogeneously broadened...

{r}})=-{\boldsymbol {\mu }}\cdot \mathbf {B} (\mathbf {r} )} in an inhomogeneous magnetic field B ( r ) {\displaystyle \mathbf {B} (\mathbf {r} )} produces...

Also the strain states in the body and the inclusion are potentially inhomogeneous and complicated. Eshelby found that the resulting elastic field can...

Kirchhoff–Helmholtz integral theorem and related identities for waves in an inhomogeneous moving fluid", Journal of the Acoustical Society of America, 99 (4):...

At the constituent level, the values of the materials vary and are inhomogeneous. Precise calculation of the many constituent values is nearly impossible...

in a cold, sparse gas is most clearly visible due to the absence of inhomogeneous broadening of the individual transitions. Vibronic transitions are drawn...

R(z;A)=(A-zI)^{-1}~.} Among other uses, the resolvent may be used to solve the inhomogeneous Fredholm integral equations; a commonly used approach is a series solution...

constructed so that π is a steady-state distribution. Even with time-inhomogeneous Markov chains, where multiple transition matrices are used, if each...

Mathematical Sciences in 1967 for the dissertation “Electromagnetic fields in inhomogeneous media” and was awarded the title of professor in 1969. From 1960 to...

plasticity. There are two kinds of structural rejuvenation: homogeneous and inhomogeneous. Dmowski, W.; Yokoyama, Y.; Chuang, A.; Ren, Y.; Umemoto, M.; Tsuchiya...

delta function δ(x), a fundamental solution F is a solution of the inhomogeneous equation LF = δ(x). Here F is a priori only assumed to be a distribution...

sequence of single-time propositions at different times. These are called inhomogeneous history propositions. An example is the proposition α {\displaystyle...

terms of infinite series. In case of more complex geometries and for inhomogeneous particles the original Maxwell's equations are discretized and solved...

matter physics, and his main interest has been the optical properties of inhomogeneous systems. His recent work has focused on colloidal systems. Born in Mexico...

the operator K(x,y) are thus seen to be decreasing towards zero. The inhomogeneous Fredholm integral equation f ( x ) = − ω φ ( x ) + ∫ K ( x , y ) φ (...

Project Timescape, education center at the Wittenham Clumps, England Inhomogeneous cosmology § Timescape cosmology, a cosmological model This disambiguation...

approximation (DDA). Most of the software applies to arbitrary-shaped inhomogeneous nonmagnetic particles and particle systems in free space or homogeneous...

ovoid in the 3-dimensional projective space over K (represented in inhomogeneous coordinates). Only when m = 1 is the ovoid O {\displaystyle {\mathcal...

contributions to the fields of defect mechanics and micromechanics of inhomogeneous solids for fifty years, including important aspects of the controlling...

Js band. The team found that the variability is likely driven by an inhomogeneous cloud cover. Later the rotational velocity helped to constrain the inclination...

electrically neutral silver atom beams through Stern–Gerlach experiment's inhomogeneous magnetic field splits into two, each of which corresponds to one possible...

(corresponding to negligible stress) general Cauchy momentum equation becomes an inhomogeneous Burgers' equation (here we make explicit the material derivative): Burgers'...

and was applied to homogeneous spheres, spherical shells, radially inhomogeneous spheres and infinite cylinders. Peter Debye has contributed to the theory...

magnetic susceptibility is the Gouy balance. In this technique there is an inhomogeneous magnetic field in the central region between two (flat) poles of a magnet...

In inhomogeneous systems the pressure depends on the position and orientation of the surface on which the pressure acts. Therefore, in inhomogeneous systems...

is an age-dependent branching process driven by immigration from an inhomogeneous Poisson process. The process, named after Alan G. Hawkes, is also called...

mono-monostatic. However, it is inhomogeneous; its material density varies across its body. Another example of an inhomogeneous mono-monostatic body is the...

wave equation resp. one-way wave operator is also valid in inhomogeneous media. For inhomogeneous media with location-dependent elasticity module E ( x )...

the schlieren (shadows) or slight variations in optical properties in inhomogeneous solutions. This method combined with the theoretical and experimental...

(September 2000), "Enhanced Room-Temperature Geometric Magnetoresistance In Inhomogeneous Narrow-Gap Semiconductors" (PDF), Science, 289 (5484): 1530–2, Bibcode:2000Sci...

that moves separately from the ovary. In around 60% of cases, it is an inhomogeneous or a noncystic adnexal mass, sometimes known as the "blob sign". It...

k q z {\displaystyle q=q_{w}+iq_{x}+jq_{y}+kq_{z}} is given by the inhomogeneous expression: R = [ 1 − 2 ( q y 2 + q z 2 ) 2 ( q x q y − q w q z ) 2...

transverse relaxation time, is related to homogeneous and inhomogeneous broadening. An inhomogeneous broadening results from the fact that the different spins...

of this type govern the physics of inhomogeneous or heterogeneous materials. Of course, all matter is inhomogeneous at some scale, but frequently it is...

projective space. Let (a, L) be an element of the Poincaré group (the inhomogeneous Lorentz group). Thus, a is a real Lorentz four-vector representing the...

rule Leibniz's linear differential equation, a first-order, linear, inhomogeneous differential equation Leibniz's notation, a notation in calculus Leibniz...

current accepted idea of dark energy, inhomogeneous-cosmology models propose that the universe is much more inhomogeneous than currently assumed — for example...

(in dimensionless units, for simplicity). (Equivalently, consider the inhomogeneous Helmholtz equation.) If the function V ( x ) {\displaystyle V(\mathbf...

processes should be taken into account during the investigation of inhomogeneous materials like suspensions or colloids, biological materials, phase...

two-particle irreducible Green functions, which is nowadays referred to as the inhomogeneous Bethe–Salpeter equation. Given a polynomially bounded functional F {\displaystyle...

Quaoar and also beyond its Roche limit. The outer ring appears to be inhomogeneous, containing a thin, dense section as well as a broader, more diffuse...

Don; Wu, Chai Wah (2008-12-01). "Conditions for weak ergodicity of inhomogeneous Markov chains". Statistics & Probability Letters. 78 (17): 3082–3085...

Green's matrix helps to determine a particular solution to a first-order inhomogeneous linear system of ODEs. The concept is named after George Green. For...

taenite. Gamma (fcc) Fe-Ni alloys with low-Ni (about 25% Ni) are probably inhomogeneous on a nanometer scale. Antitaenite and taenite have the same crystal...

Inhomogeneities in the masses of the hydrometeors along the cloud-base may cause inhomogeneous descent along the base. Frictional drag and associated eddy-like structures...

proposed a method for the production of population inversion using inhomogeneous electric and magnetic fields. Their results were first presented at...

of the anyon. Wigner, E. (1939). "On Unitary Representations of the Inhomogeneous Lorentz Group". Annals of Mathematics. 40 (1): 149–204. Bibcode:1939AnMat...

slow long-distance charge separation in dielectric spectroscopy on inhomogeneous soft matter Polarization (electrochemistry), a change in the equilibrium...

equation In phase Inertial wave Infragravity wave Infrared gas analyzer Inhomogeneous electromagnetic wave equation Interference (wave propagation) Interferometry...

doi:10.1049/ip-h-1.1983.0029. Chew, Weng Cho (1990). Waves and Fields in Inhomogeneous Media. New York: Van Nostrand Reinhold. p. 118. ISBN 9780780347496....

(2013). "Causality and non-equilibrium second-order phase transitions in inhomogeneous systems". J. Phys.: Condens. Matter. 25 (40) 404210. arXiv:1302.3648...

single-use envelopes of mixed powders; and solid boluses of homogeneous or inhomogeneous mixture called bath bombs. Bath fizzies are a form of bath salts in...

an inhomogeneous magnetic field, and being deflected up or down depending on their spin; (1) furnace, (2) beam of silver atoms, (3) inhomogeneous magnetic...

calculation of radiative heating rates and photodissociation rates in inhomogeneous multiple scattering atmospheres". www.scopus.com. Retrieved 7 June 2018...

operators. The name comes from the Green's functions used to solve inhomogeneous differential equations, to which they are loosely related. (Specifically...

entropy of inhomogeneous systems is the sum of the entropies of the various subsystems. The laws of thermodynamics hold rigorously for inhomogeneous systems...

uniform polarization and/or magnetization. After their application to any inhomogeneous region, they predict the existence of even parts in functions of the...

model, or is the universe inhomogeneous or anisotropic? More unsolved problems in physics Although the universe is inhomogeneous at smaller scales, according...

surface wave or Sommerfeld-Zenneck surface wave is a longitudinal, inhomogeneous or non-uniform electromagnetic plane wave incident at the complex Brewster's...

period of rotation of the star. It is thought that they are caused by an inhomogeneous distribution of chemical elements in the atmospheres of these stars...

08033. doi:10.5802/aif.3216. MR 3897974. Komatsu, Takao (1998). "On inhomogeneous Diophantine approximation and the Nishioka-Shiokawa-Tamura algorithm"...

Hilbert space is a space of irreducible unitary representations of the inhomogeneous Lorentz group (the Poincaré group); the S-matrix is the evolution operator...

It also brought further possibilities of using the method, e.g., for inhomogeneous materials, coatings, etc. The measurement and evaluation procedure is...

one scalar homogeneous first-order linear ODE in each coordinate. An inhomogeneous equation y ( n ) + c n − 1 y ( n − 1 ) + ⋯ + c 1 y ( 1 ) + c 0 y = f...

path followed by light and the refractive index of the medium. For inhomogeneous optical media, the product above is generalized as a path integral as...

magnetic-susceptibility-induced line broadening is attenuated which reduces inhomogeneous broadening of the spectral lines for samples in heterogeneous environments...

materials exhibit as they undergo plastic deformation, specifically inhomogeneous deformation. This effect has been long associated with dynamic strain...

years, he worked on fluctuation-dissipative theorem for the case of an inhomogeneous plasma. In 2018 V. Belyi published an article in Scientific Reports...

advisor was Michael Turner and his thesis was titled Particle Creation in Inhomogeneous Spacetimes. After completing his PhD, Frieman held a postdoc position...

(as opposed to the cosmological constant, which remains a constant). Inhomogeneous cosmology. One of the fundamental assumptions of Lambda-CDM is that...

applies to the more general class of synchronous automata networks (inhomogeneous networks of automata over directed graphs, allowing external inputs...

aberration. In refractive corneas, the lens tissue is corrected with inhomogeneous lens material (see Luneburg lens), or with an aspheric shape. Flattening...

; Driebe, T.; Millour, F.; et al. (2009). "Spatially resolving the inhomogeneous structure of the dynamical atmosphere of Betelgeuse with VLTI/AMBER"...

consider an ensemble of spins in a magnetic field that is sufficiently inhomogeneous to completely dephase the spins in the interval between the pulses....

and the prototype. This has been ascribed to non-radial pulsations, inhomogeneous rotating discs, or the rotation of the star itself. These stars are...

{\displaystyle \lambda \varphi (x)-\int _{a}^{b}K(x,y)\varphi (y)\,dy=0} and the inhomogeneous equation λ φ ( x ) − ∫ a b K ( x , y ) φ ( y ) d y = f ( x ) . {\displaystyle...

R. (1981-01-01). "Variational principles for dynamic problems for inhomogeneous elastic media". Wave Motion. 3 (1): 1–11. doi:10.1016/0165-2125(81)90008-1...

useful in calculating modal solutions of Maxwell's equations over an inhomogeneous or periodic geometry. It is specifically tuned to solve problems in...

setup contains 3 parts: an inhomogeneous magnetic field in front, the rotating field at the middle, and another inhomogeneous magnetic field at the end...

T>0} , and giving off heat, Q < 0 {\displaystyle Q<0} . Others are inhomogeneous systems that do not meet the strict definition of thermodynamic equilibrium...

surrounding the nucleus violate cubic symmetry and therefore generate an inhomogeneous electric field at the position of the nucleus. EFGs are highly sensitive...

molecular gas, and the dynamics of blast waves in both homogeneous and inhomogeneous media. In collaboration with Jeremiah Ostriker (Columbia University)...

price of $5,321,850 (or about $10.92 million today). The response of inhomogeneous plates undergoing explosive welding was analytically modeled in 2011...

(demographics) Jack Cuzick and Robert Edwards (1990). "Spatial clustering for inhomogeneous populations". Journal of the Royal Statistical Society, Series B. 52...

half light radius, or experienced a stronger UV background due to the inhomogeneous nature of reionization. Li 李, Jiaxuan 嘉轩; Greene, Jenny E.; Carlsten...

original on 25 September 2005. Cornille, P. (1990). "On the propagation of inhomogeneous waves". Journal of Physics D: Applied Physics. 23 (2): 129–135. Bibcode:1990JPhD...

J.; Lednický, F.; Luňák, S. (1978-04-01). "Are cured epoxy resins inhomogeneous?". Polymer. 19 (4): 393–397. doi:10.1016/0032-3861(78)90243-4. ISSN 0032-3861...

}{\partial t}}+\mu _{0}\mathbf {J} \end{aligned}}} and reduce to the inhomogeneous Maxwell equation: ∂ α F β α = − μ 0 J β , {\displaystyle \partial _{\alpha...

transducers. Forward propagation can be used to predict the influence of inhomogeneous, nonlinear media on acoustic transducer performance. Wave field synthesis...

completing her Ph.D. in 2005. Her dissertation, Magnetoresistance of inhomogeneous semiconductors, and, ultracold atomic Fermi gases, was supervised by...

to one million base-pairs (1 Mbp) long. GENSCAN utilizes a general inhomogeneous, three periodic, fifth order Markov model of DNA coding regions. Additionally...

terms with n positive converge for |z| <1 to a function satisfying an inhomogeneous linear equation with singularities at z = 0 and z=1, so can be continued...

such as serum amyloid P component, resulting in complex, and sometimes inhomogeneous structures. Recently this definition has come into question as some...

"waveguide" dispersion can occur for waves propagating through any inhomogeneous structure (e.g., a photonic crystal), whether or not the waves are confined...

force is a nonlinear force that a charged particle experiences in an inhomogeneous oscillating electromagnetic field. It causes the particle to move towards...

Chamard; O. Thomas (2007). "Inversion of the diffraction pattern from an inhomogeneously strained crystal using an iterative algorithm". Phys. Rev. B. 76 (10)...

constants of the material with rough sample surface or presence of inhomogeneous media. New methodological approaches allow the use of reflection ellipsometry...

Of course, since the above equations are simply the solution to an inhomogeneous differential equation, any solution to the homogeneous equation can...

Olivier; Paricaud, Patrice (2017-09-12). "Long Range Corrections for Inhomogeneous Simulations of Mie n – m Potential". Journal of Chemical Theory and...

J. N. (Sep 2006). "Can Electric Charges and Currents Survive in an Inhomogeneous Universe?". arXiv:astro-ph/0609031. Bibcode:2006astro.ph..9031S. {{cite...

565–568. Reeks, M. W.(1983, The transport of discrete particles in inhomogeneous turbulence, J. Aerosol Sci., 14(6),729-739. Sanjay Dasgupta, R. Jackson...

planets difficult, and the stars are frequently active with flares and inhomogeneous stellar surfaces (faculae and starspots), which can produce erroneous...

or building. By means of a thermographic camera thermal bridges and inhomogeneous insulation parts can be identified. However, it does not produce any...

(NSE). The compressible NSE are rearranged into various forms of the inhomogeneous acoustic wave equation. Within these equations, source terms describe...

Calculator (With Graph Generation ) General method, including locally inhomogeneous case and Fortran 77 software An explanation from the Atlas of the Universe...

vector potential. Another approach involves a general solution of the inhomogeneous wave equation for the vector potential in the case of constant currents...

doi:10.1111/j.1468-4004.2010.51331.x. Browning, Philippa K. (1984). Inhomogeneous magnetic fields in the solar atmosphere. st-andrews.ac.uk (PhD thesis)...

function of t {\displaystyle t} , the resulting process is called an inhomogeneous or nonhomogeneous Poisson process, where the average density of points...

of interest both in compressible fluids and in incompressible (but inhomogeneous) fluids. Internal gravity waves as well as unstable Rayleigh–Taylor...

geometric transformation represented by a diagonalizable matrix is an inhomogeneous dilation (or anisotropic scaling). That is, it can scale the space by...

worked for many decades on anisotropic cosmologies (Bianchi models) and inhomogeneous universes, and on the philosophy of cosmology. He is currently writing...

A linear differential equation that fails this condition is called inhomogeneous. A linear differential equation can be represented as a linear operator...

salinity (30‰). The depth distribution of water temperature is very inhomogeneous across the sea. For example, at the exit from Dvina Bay, water temperature...

reaching a more accurate model than if those constraints are ignored. In inhomogeneous cosmology, in which structure formation is taken into account in a...

from the semirelativistic Thomas term. This might be a macroscopically inhomogeneous field of ferromagnets that is already used for operating Electric dipole...

Kingdom in 2003. Later, the inverse Doppler effect was observed in some inhomogeneous materials, and predicted inside a Vavilov–Cherenkov cone. Bistatic Doppler...

coulombic efficiency. In 2017, Wang and Xu's research team developed an "inhomogeneous additive" to coat the graphite electrode in their aqueous Li-ion battery...

dimension n of the space, and is commonly denoted E(n) or ISO(n), for inhomogeneous special orthogonal group. The Euclidean group E(n) comprises all translations...

notation for partial derivatives has been employed. The more general inhomogeneous case: y t + A ( y ) y x = s {\displaystyle y_{t}+A(y)y_{x}=s} is not...

whether a meaningful local helicity density can be defined in weakly inhomogeneous turbulence, leading to proposed gauge-invariant local measures and improved...

the incident field and with each other. DDA can handle targets with inhomogeneous composition and anisotropic material properties, as well as periodic...

zero everywhere then the linear PDE is homogeneous, otherwise it is inhomogeneous. (This is separate from asymptotic homogenization, which studies the...

light beam can acquire OAM by crossing a spiral phase plate, with an inhomogeneous thickness (see figure). A more convenient approach for generating OAM...

J.S. Nasstrom (2000), A Lagrangian Stochastic Diffusion Method for Inhomogeneous Turbulence, Atmospheric Environment, 34, 7, 1059-1068. Hodur, R. M....

solutions to the Einstein field equation. These are a widely used family of inhomogeneous cosmological models. Kantowski received his Ph.D. in 1966 from the University...

with homogenous magnetic fields or for an idealized, Coulomb-like, inhomogeneous magnetic field. For the case of where the magnetic field is constant...

of stresses may be due to geometric constraints in the electrode or inhomogeneous plating of the ion. This phenomenon is very concerning as it may lead...

rotating stick (with moment of inertia I {\displaystyle I} ) in an inhomogeneous "gravitation like" field that is periodically switched on in short pulses...

ƒ represents the attenuation data of a tomographic scan through an inhomogeneous medium whose density is represented by the function ƒ. Inversion of...

(1 February 2005). "On the trend to global equilibrium for spatially inhomogeneous kinetic systems: The Boltzmann equation". Inventiones Mathematicae....

the University of Minnesota for graduate research, where she studied inhomogeneous materials and tissues. Her thesis proposed nanoindentation as a means...

most important are: Combination of the current density and spatially inhomogeneous resistance Ionization of species within the dielectric to form heterocharge...

do not in general coincide with each other, the wave is said to be inhomogeneous. The refracted wave is exponentially attenuated, with exponent proportional...

Method of solution for inhomogeneous ODEs...

polynomials Bernoulli map Bernoulli operator Hidden Bernoulli model Time-inhomogeneous hidden Bernoulli model Bernoulli sampling Bernoulli distribution Continuous...

(density-functional perturbation theory). Hohenberg, P.; Kohn, W. (1964). "Inhomogeneous Electron Gas". Physical Review. 136 (3B): B864. Bibcode:1964PhRv..136...

Stern-Gerlach device, a charged spin 1/2 particle enters into an inhomogeneous magnetic field. Only two possible outcomes are possible, the particle is...

research on axially symmetric jet flows and propagation of fluids in inhomogeneous porous media. More recently, he has studied the mathematical theory...

Academic, New York. Mandelstam, L.I. (1926). "Light Scattering by Inhomogeneous Media". Zh. Russ. Fiz-Khim. Ova. 58: 381. van de Hulst, H.C. (1981)...

by a liquid in a container Mercury beating heart — a consequence of inhomogeneous surface tension Sessile drop technique Spinning drop method Stalagmometric...

H_{Z}} which in turn focus the electron. Note that the magnetic field is inhomogeneous, particles close to the center are less strongly deflected than those...

Retrieved 2018-09-21. Mandelstam, L.I. (1926). "Light Scattering by Inhomogeneous Media". Zh. Russ. Fiz-Khim. Ova. 58: 381. Archibald, P.S. and Bennett...

Barahona M, Buzsáki G, Koch C (February 2010). "The effect of spatially inhomogeneous extracellular electric fields on neurons". J. Neurosci. 30 (5): 1925–36...

One example is spreading resistance profiling, where the material is inhomogeneous (different resistivity in different places), and the exact paths of...

Drummond, Peter D (1990). "Electromagnetic quantization in dispersive inhomogeneous nonlinear dielectrics" (PDF). Physical Review A. 42 (11): 6845–6857...

distribution. In contrast, real networks are often scale-free networks inhomogeneous in degree, having hubs and a scale-free degree distribution. Such networks...

"Class of fast methods for processing Irregularly sampled or otherwise inhomogeneous one-dimensional data". Physical Review Letters. 74 (7): 1060–1063....

(help). Wigner, Eugene P. (1939), "On unitary representations of the inhomogeneous Lorentz group", Annals of Mathematics, 40 (1): 149–204, Bibcode:1939AnMat...

in the same activity irrespective of the specific material) leads to inhomogeneous outputs. In addition, many industries generate by-products (e.g., a...

include distinctions between linear and nonlinear; homogeneous and inhomogeneous; Fredholm and Volterra; first order, second order, and third order;...

results in nonuniform solar illumination across the line of sight and inhomogeneous irradiance of the atmosphere at once. Thick clouds determine a perfect...

on a torus), mechanics (brachistochrone) and optics (light beam in inhomogeneous medium). Totally geodesic submanifold Archived 2015-08-10 at the Wayback...

Gulyaev YV, Krylov VV, Plessky VP (1995). Surface Acoustic Waves in Inhomogeneous Media. Heidelberg: Springer. ISBN 978-3-540-58460-5. Crocker MJ, ed...

2 January 2014. Demory, Brice-Olivier; et al. (2013). "Inference of Inhomogeneous Clouds in an Exoplanet Atmosphere". The Astrophysical Journal Letters...

problem, SoC architectures are usually heterogeneous, creating spatially inhomogeneous heat fluxes, which cannot be effectively mitigated by uniform passive...

characterized commercially available solid silicon monoxide materials as an inhomogeneous mixture of amorphous SiO2 and amorphous Si with some chemical bonding...

justified by the observations that, while the universe is "weakly" inhomogeneous and anisotropic (see the large-scale structure of the cosmos), it is...

gold Sakiewicz P.,Nowosielski R., Babilas R. Production aspects of inhomogeneous hot deformation in as-cast CuNi25 alloy, Indian Journal of Engineering...

least squares to some cases, in which a combination of certain types of inhomogeneous random sources of errors gives these a 'systematic' character, T. N...

an inhomogeneous magnetic field, and being deflected up or down depending on their spin; (1) furnace, (2) beam of silver atoms, (3) inhomogeneous magnetic...

the mridangam its distinct metallic timbre. The combination of two inhomogeneous circular membranes allows for the production of unique and distinct...

{id} _{G}} ). This is an abelian group; its elements are called the (inhomogeneous) n-cochains. The coboundary homomorphisms are defined by { d n + 1 :...

gravitational fields, which have some formal similarities to the real, inhomogeneous gravitational fields of curved spacetime in general relativity. In the...

Fried, D. L. (October 1966). "Optical Resolution Through a Randomly Inhomogeneous Medium for Very Long and Very Short Exposures". Journal of the Optical...

molten metal, the thermal fluid dynamics of the system often produces inhomogeneous compositions or unintended porosity which can cumulatively affect the...

different metals and their junction region. The junction region is an inhomogeneous body, assumed to be stable, not suffering amalgamation by diffusion...

of light) during early moments of the Big Bang. His recent work on inhomogeneous cosmological models purports to explain certain anomalous effects in...

cross-sectional problems are solved for materials with anisotropic and inhomogeneous properties. VABS, a novel finite-element-based code, for the beam cross-sectional...

represented mathematical operations. This machine was capable of solving inhomogeneous differential equations. The first versions of Lukyanov's integrators...

result is an incoherent spectrum containing absolute band shapes through inhomogeneous broadening. Spectrum simulation is one of the most fundamental tasks...

value due to a low current efficiency and non-electrolytic consumption. Inhomogeneous anode quality due to the variation in raw materials and production parameters...

1093/imamat/1.1.1 Bretherton, F. P.; Garrett, C. J. R. (1968), "Wavetrains in inhomogeneous moving media", Proceedings of the Royal Society of London, Series A...

Lagrangian optics and Hamiltonian optics. The wave equation for an inhomogeneous medium is u t t = c 2 ∇ ⋅ ∇ u , {\displaystyle u_{tt}=c^{2}\nabla \cdot...

Taormina, Anna (1986). "The fate of the Mixmaster behaviour in vacuum inhomogeneous Kaluza-Klein cosmological models". Physics Letters B. 175 (2): 129–132...

have been unsuccessful. A few white dwarfs have been observed to have inhomogeneous atmosphere with one side dominated by hydrogen and the other side dominated...

are strictly ordered and called the temporal support of the history. Inhomogeneous histories are multiple-time propositions which cannot be represented...

\end{aligned}}} The Taylor scraping flow is similar to this problem but driven inhomogeneous boundary condition. The solution is obtained by the eigenfunction expansion...

simplest semilinear reaction-diffusion equations, the one which has the inhomogeneous term f ( u , x , t ) = r u ( 1 − u ) , {\displaystyle f(u,x,t)=ru(1-u)...

ferroelectricity is also caused by inhomogeneous magnetoelectric interaction. This effect appears due to the coupling between inhomogeneous order parameters. It was...

along the cross-section of vertical reinforced concrete elements is inhomogeneous. The reinforcement in an RC structure, such as a steel bar, has to undergo...

equivalent way of expressing this is that x* is a particular solution to the inhomogeneous equation, while all solutions are in the form x h + x ∗   , {\displaystyle...

distribution of gas holdup in the fully developed flow regime. The inhomogeneous MUSIG model gives a little better result than other models in the prediction...

S2CID 18912727. Gunn, James E. (December 1967). "On the Propagation of Light in Inhomogeneous Cosmologies. I. Mean Effects". Astrophysical Journal. 150: 737G. Bibcode:1967ApJ...

system of a single phase in its own internal thermodynamic equilibrium inhomogeneous with respect to some intensive variables. For example, a relatively...

the Kerch Strait. Therefore, the plankton species are distributed inhomogeneously in the Sea of Azov. Although many additional species are brought in...

steered around weather systems are thought to explain large parts of the inhomogeneous Antarctica sea-ice trends. The 2021 IPCC AR6 report confirms the observed...

results of Planck data analysis confirming those of WMAP, including the inhomogeneous sky distribution of those structures. In a paper published on August...

the observations using sliding or Kelvin probe force microscope of inhomogeneous charge variations between nominally identical materials. The details...

include dynamic fragmentation; shear dominated intersonic rupture of inhomogeneous materials and composites, rupture mechanics of crustal earthquakes,...

asymptotic evaluation of the Sommerfeld integrals used to solve the inhomogeneous wave equation for a point or line source near a plane interface separating...

aquifer, caused by pumping, concentrates stress in the sediment. This inhomogeneous deformation results in the differential compaction of the sediments...

Chen, The theory of radial basis functions applied to the BEM for inhomogeneous partial differential equations, Boundary Elements Communications. 5...

luminosity) with periods of a few days. The stellar magnetic field creates an inhomogeneous pattern of dark star spots and bright faculae across the surface, which...

theoretical physics, of finding the averaged Green's function of an inhomogeneous (or disordered) system. The Green's function obtained via the CPA then...

equations, which govern the flow of a compressible viscous fluid, into an inhomogeneous wave equation, thereby making a connection between fluid mechanics and...

force-free magnetic fields, stability of jets and cylinders and stability of inhomogeneous plasmas. His work on the mathematical treatment of gaseous polytropes...

reciprocal. Time reversal is therefore suited to applications with inhomogeneous media. An attractive aspect of time reversal signal processing is the...

Červený, V. (July 2002). "Fermat's Variational Principle for Anisotropic Inhomogeneous Media". Studia Geophysica et Geodaetica. 46 (3): 567. Bibcode:2002StGG...

of atherosclerotic plaques in a part of the arterial endothelium is inhomogeneous. The multiple and focal development of atherosclerotic changes is similar...

alkaloids content in plants is usually within a few percent and is inhomogeneous over the plant tissues. Depending on the type of plants, the maximum...

\mathbf {D} (\mathbf {r} )=\varepsilon \mathbf {E} (\mathbf {r} ).} For inhomogeneous materials, there is a position dependence throughout the material: D...

a thermodynamic system. We consider systems which, in general, are inhomogeneous. Heat and mass are transferred across the boundaries (nonadiabatic,...

at the Boundary between Steady Super/Sub-Keplerian Flow Created by Inhomogeneous Growth of Magnetorotational Instability". The Astrophysical Journal...

radicals, furthermore, control oxidative stress in biological media under inhomogeneous electromagnetic radiation. The magnetic nanotherapy is remotely controlled...

some complex diffusion processes, for instance, diffusion process in inhomogeneous or heterogeneous medium, e.g. porous media. Fractional diffusion equations...

problems beyond classical general relativity. Fractal cosmology – Models inhomogeneous universe structure on large scales. Gravitational-wave astronomy – study...

University "Correlation between nanostructures and transport properties in inhomogeneous condensed systems." 2025 Takamasa Sakai (酒井 崇匡) University of Tokyo...

ISBN 978-0-19-852957-6. Modern introduction to cosmology covering the homogeneous and inhomogeneous universe as well as inflation and the CMB. Dodelson, Scott (2003). Modern...

usually at atmospheric pressure, and is initiated by a discharge in an inhomogeneous electric field (see Figure 1). Corona discharge has been used to pole...

Julien; Lewis, Nikole; Fortney, Jonathan; et al. (2013). "Inference of Inhomogeneous Clouds in an Exoplanet Atmosphere". The Astrophysical Journal Letters...

of St Andrews working with Eric Priest. She submitted her thesis on Inhomogeneous Magnetic Fields in the Solar Atmosphere in 1984. After completing her...

system may be inhomogeneous, or may be composed of several subsystems separated from each other by walls. If an initially inhomogeneous physical system...

the atmosphere and the Rytov approximation for wave propagation in inhomogeneous media bear his name. Sergei Mikhailovich Rytov was born in Kharkov,...

David J.; Gao, Jidong (October 14, 2009). "Importance of Horizontally Inhomogeneous Environmental Initial Conditions to Ensemble Storm-Scale Radar Data...

samarium in soils strongly depends on its chemical state and is very inhomogeneous: in sandy soils, samarium concentration is about 200 times higher at...

radiated from infinity into ... the field." Mathematically, consider the inhomogeneous Helmholtz equation ( ∇ 2 + k 2 ) u = − f  in  R n {\displaystyle (\nabla...

J.; Hubbard, William B. (2003). "Phase separation in giant planets: inhomogeneous evolution of Saturn". Icarus. 164 (1): 228–243. arXiv:astro-ph/0305031...

Otsu's method performs badly in case of heavy noise, small objects size, inhomogeneous lighting and larger intra-class than inter-class variance. In those...

electric and/or magnetic fields when traversing birefringent materials, or inhomogeneous materials especially at interfaces (surface waves for instance) such...

generally produced a very hard steel, but also a composite steel that was inhomogeneous, consisting of a very high-carbon steel (formerly the pig-iron) and...

produce a magnetic moment. These magnetic moments can interact with an inhomogeneous magnetic field; some of the antihydrogen atoms can be attracted to a...

charge conservation. The Klein–Gordon equation can be elevated to the inhomogeneous Klein–Gordon equation through the introduction of a source term ( ◻...

media originating from the coupling of electron spin to microscopically inhomogeneous magnetic field of magnetic background. In 1966, after the Institute...

Tang; Van To, Tan (2006). "Using generating functions to solve linear inhomogeneous recurrence equations" (PDF). Proc. Int. Conf. Simulation, Modelling...

Genealogy Project Holdren, John Paul (1970). Collisionless Stability of an Inhomogeneous, Confied, Planar Plasma (PhD thesis). Stanford University. ProQuest 302557782...

CT-scan of vascular malformations in the liver in a patient with hereditary hemorrhagic telangiectasia causing an inhomogeneous perfusion pattern....

(via the Pratt hypothesis) that the upper mantle in this region is inhomogeneous, with significant lateral variations in density. The formation of ice...

Oceanus Procellarum. Procellarum may have also been formed by spatially inhomogeneous heating during the Moon's formation. The GRAIL mission, which mapped...

2 January 2014. Demory, Brice-Olivier; et al. (2013). "Inference of Inhomogeneous Clouds in an Exoplanet Atmosphere". The Astrophysical Journal Letters...

2017. Her dissertation, Scalar Fields in Numerical General Relativity: Inhomogeneous Inflation and Asymmetric Bubble Collapse, was supervised by Eugene A...

(the inverse conductivity problem). Because the human head is highly inhomogeneous and composed of multiple layers with different conductivities, the inverse...

no disk can be spun up rigidly) — at least, not without sustaining inhomogeneous stresses. The easiest way to see this is to observe that in Newtonian...

would be the fifth known "dynamical, time-dependent, and spatially inhomogeneous" contribution to the overall mass–energy content of the universe. Of...

carry a slight negative or positive charge. Weak interaction among the inhomogeneous charged energy states on the surface has been hypothesized to form a...

Schematic of the plate theory. Mid-blue: lithosphere; light-blue/green: inhomogeneous upper mantle; yellow: lower mantle; orange/red: core-mantle boundary...

compounds such as tungsten carbide were used in small quantities of inhomogeneous and discarded sabot round, but that element was in short supply in most...

{1}{\varepsilon _{0}}}\rho .} These are simpler and more symmetric forms of the inhomogeneous Maxwell's equations. Here c = 1 ε 0 μ 0 {\displaystyle c={\frac {1}{\sqrt...

than a solar radius from the photosphere and looks very complex and inhomogeneous in the X-rays images taken by satellites (see the figure on the right...

mixture can be thought of as the distribution of a certain quantity in an inhomogeneous population consisting of many different normal distributed subpopulations...

wavelength is very small compared to the characteristic dimensions of inhomogeneous inclusions through which the sound propagates. The below discussion...

or using the averaged Lagrangian approach for wave propagation in inhomogeneous media. Luke's Lagrangian formulation can also be recast into a Hamiltonian...

magnetic field strength of 0.55 ±0.03 Megagauss. The magnetism can lead to inhomogeneous brightness distribution and the TESS light curve shows that the white...

While electrically neutral, its spin magnetic moments interact with an inhomogeneous magnetic field; some atoms will be attracted to a magnetic minimum,...

mechanical processes in making chemical bonds. She uses time-varying inhomogeneous electric fields (in a Stark decelerator) to achieve supersonic cooling...

points x k {\displaystyle x_{k}} are the abscissas. Applying this to the inhomogeneous Fredholm equation of the second kind f ( x ) = λ u ( x ) − ∫ a b K (...

may differ from that of D (or B). Even in isotropic media, so-called inhomogeneous waves can be launched into a medium whose refractive index has a significant...

spectra depends on the experimental energy resolution, vibrational and inhomogeneous broadening. The first effect is caused by the non perfect monochromaticity...

doi:10.1086/143448. Israelian, G.; Chentsov, E.; Musaev, F. (1997). "The inhomogeneous circumstellar envelope of Rigel (β Orionis A)". Monthly Notices of the...

diélectrique non homogène »" [Study of the motion of charged particles in inhomogeneous dielectric media]. webalors.org (in French). Archived from the original...

(1976) Bretherton, F. P.; Garrett, C. J. R. (1968), "Wavetrains in inhomogeneous moving media", Proceedings of the Royal Society of London, Series A...

"Using Aumann-Shapley Values to Allocate Insurance Risk: The Case of Inhomogeneous Losses," North American Actuarial Journal, 11, 3, 113-127. See http://www...

dispersion medium, and possibly colloid stabilizer constitute initially an inhomogeneous system resulting in particles of colloidal dimensions containing the...

Research and Engineering for nearly 18 years, leading the Interfaces and Inhomogeneous Materials Group and Complex Fluids Area. He then became a Professor...

exponentially decaying waves. This viewpoint allows PMLs to be derived for inhomogeneous media such as waveguides, as well as for other coordinate systems and...

as standard dark energy. Some alternatives to dark energy, such as inhomogeneous cosmology, aim to explain the observational data by a more refined use...

with r. And in the source itself, or as soon as one enters a region of inhomogeneous materials, the multipole expansion is no longer valid and the full solution...

M.; Levesque, D. (1991). "Numerical simulations of homogeneous and inhomogeneous ionic systems: An efficient alternative to the Ewald method". J. Chem...

Gromov metric. The authors were able to solve the inhomogeneous Dirichlet Problem for inhomogeneous equations, they were able to solve the complex Monge-Ampère...

given by ψ ( t ) {\displaystyle \psi (t)} which is the solution to the inhomogeneous initial value problem d d t ψ ( t ) = f ( ψ ( t ) , ϕ ( t − τ ) ) ,...

therefore solutions to a special class of linear difference equation: inhomogeneous first order linear recurrences with constant coefficients. The elements...

structure formation in the Okiep Copper District, South Africa: bulk inhomogeneous shortening of a high-grade metamorphic granite-gneiss sequence". Journal...

have adverse effects on different environmental matrices. They are an inhomogeneous group of anthroprogenic chemical compounds that is discharged by human...

regions come in an enormous variety of sizes. They are usually clumpy and inhomogeneous on all scales from the smallest to largest. Each star within an H II...

number of particles (molecules in this case), or to generalize to an inhomogeneous system the local form holds: P = n k B T , {\displaystyle P=nk_{\text{B}}T...

amplitude. Even the Z Andromedae variable stars are thought to be an inhomogeneous group. The so-called symbiotic novae are a closely related class of...

leads to the two new surface forces. The normal force is exerted by inhomogeneous electric field of EDL on the oriented water molecules dipole moments...

to the basic method to allow some of these other cases to be solved: inhomogeneous aquifer: matching conditions at boundaries between properties anisotropic...

Books. ISBN 9781891389634. Chew, Weng Cho (1990). Waves and Fields in Inhomogeneous Media. New York: Van Nostrand Reinhold. ISBN 9780780347496. Kinayman...

Fried, D. L. (October 1966). "Optical Resolution Through a Randomly Inhomogeneous Medium for Very Long and Very Short Exposures". Journal of the Optical...

to study the Lagrangian dynamics of slowly-varying wave trains in an inhomogeneous (moving) medium. The method is applicable to both linear and non-linear...

^{1/2}Y_{1/2}^{l}+\cdots } . The O ( 1 ) {\displaystyle {\mathcal {O}}(1)} inhomogeneous condition on the left provides us the reason to start the expansion...

applies to homogeneous thermodynamic systems. It does not apply to inhomogeneous systems such as small thermodynamic systems, systems subject to long-range...

tensor Metric tensor (general relativity) Relativistic angular momentum inhomogeneous cosmology Tolman, Richard C. (1934). "Effect of Inhomogeneity on Cosmological...

(2006-04-28). "Optical Spin-to-Orbital Angular Momentum Conversion in Inhomogeneous Anisotropic Media". Physical Review Letters. 96 (16) 163905. arXiv:0712...

creating a molecular beam of silver atoms. They shot this beam through an inhomogeneous magnetic field. Rather than a continuous pattern of silver atoms, they...

S2CID 53858196. Straumann, N. (2014). "Unitary Representations of the inhomogeneous Lorentz Group and their Significance in Quantum Physics". In A. Ashtekar;...

strings. New Journal of Physics (2008) H. Alnes, M. Amarzguioui, An inhomogeneous alternative to dark energy? Phys. Rev. D 73 083519 (2006) Ø. Grøn and...

pointed out the possibility of type-II superconductors that should form inhomogeneous state in strong magnetic fields. However, at that time, all known superconductors...

)=\lambda ^{n}+a_{1}\lambda ^{n-1}+\dotsb +a_{n-1}\lambda +a_{n}\,} The inhomogeneous case can be easily solved if the input function r is also of the form...

propagates at an angle to the direction of the wavefront in air. In an inhomogeneous medium with a variable index of refraction, different parts of the wavefront...

propagate through a medium whose properties vary with position (an inhomogeneous medium) may propagate at a velocity that varies with position, and as...

which trigonometric functions and geometric angles are avoided; the inhomogeneous waves launched into the second medium cannot be described using a single...

cartilage substitute since the 1970s. Natural articular cartilage is an inhomogeneous, anisotropic, and viscoelastic tissue. The structure, described above...

solution of the inhomogeneous equation is the sum of the solution of the homogeneous equation with a particular solution of the inhomogeneous equation | ψ...

the time derivatives are straightforward and we obtain the following inhomogeneous wave equation ∇ 2 E r a d + μ 0 ω 2 ( ϵ 0 + i σ / ω ) E r a d = − i...

and the data from which it was derived "probably only reflect the inhomogeneous distribution of galaxies in the region of the Rubin–Ford sample"—i.e...

first applied to calculate the ballistic transport of hot electrons in inhomogeneous sub-micron structures by solving a system of nonlinear differential...

resistance. This creep resistance is attributed to the formation of inhomogeneous precipitate Cr4.6MoNi2.1, which pins dislocations and prevents further...

CMB and galaxy weak lensing (2006) CMB anisotropies from primordial inhomogeneous magnetic fields (2004) Evolution of cosmological dark matter perturbations...

New York: Academic. Mandelstam, L.I. (1926). "Light Scattering by Inhomogeneous Media". Zh. Russ. Fiz-Khim. Ova. 58: 381. Fuller, Michael P.; Griffiths...

Stern-Gerlach experiment reported quantized results for silver atoms in an inhomogeneous magnetic field. The confirmation would turn out to be premature: more...

Illinois Urbana-Champaign Thesis Propagation of low-coherence fields in inhomogeneous media (2002) Doctoral advisor Aristide Dogariu Other academic advisors...

George Francis FitzGerald.) The Lorenz gauge leads to the following inhomogeneous wave equations for the potentials: 1 c 2 ∂ 2 φ ∂ t 2 − ∇ 2 φ = ρ ε 0...

{\displaystyle f} . Poisson hidden Markov model Doubly stochastic model Inhomogeneous Poisson process, where λ(t) is restricted to a deterministic function...

2021.113813. S2CID 224818337. Lumley, J.L. (1967). The Structure of Inhomogeneous Turbulence," In: A. M. Yaglom and V. I. Tatarski, Eds., Atmospheric...

2008. Bekshaev, A Ya (2013-04-01). "Subwavelength particles in an inhomogeneous light field: optical forces associated with the spin and orbital energy...

Weeks, Eric R.; Gisler, T.; et al. (2000). "Two-Point Microrheology of Inhomogeneous Soft Materials". Physical Review Letters. 85 (4): 888–891. Bibcode:2000PhRvL...

published as Wärmeleitung in inhomogenen Körpern ('Thermal Conduction in Inhomogeneous Bodies') on 22 February 1906. Paul Ehrenfest asked her to investigate...

result is called the total Hamiltonian. The uk must solve a set of inhomogeneous linear equations of the form { ϕ j , H } P B + ∑ k u k { ϕ j , ϕ k }...

1007/s00466-012-0728-4. S2CID 95958719. Hohenberg, Pierre; Walter, Kohn (1964). "Inhomogeneous electron gas". Physical Review. 136 (3B): B864–B871. Bibcode:1964PhRv...

Vol. 158, No. 2, pp. 462–475 (1967). APS P. Hohenberg, and W. Kohn, "Inhomogeneous Electron Gas," Physical Review, Vol. 136, No. 3B, pp. B864–B871 (1964)...

Extraction of a net momentum "from nothing" has been postulated in an inhomogeneous vacuum, but this remains highly controversial as it will violate Lorentz...

lines with the set of circles to form a set of blocks results in an inhomogeneous incidence structure: three distinct points determine one block, but...

slag (a liquid waste product). African ironworkers regularly produced inhomogeneous steel blooms, especially in the large natural-draft furnaces. The blooms...

αn are linearly dependent over the rationals. Baker (1967b) gave an inhomogeneous version of the theorem, showing that β 0 + β 1 log ⁡ α 1 + ⋯ + β n log...

X-ray spectroscopy showed inhomogeneous distributions of some cations. Neither impurity peaks nor evidence of inhomogeneous cation distribution was found...

in the number of cloud drops. A contrasting model of entrainment is inhomogeneous mixing. This model assumes that the time it takes to evaporate cloud...

electrical conductance will vary from sample to sample, mainly due to inhomogeneous scattering sites. Fluctuations originate from coherence effects for...

Reiche wrote about the deflection of beams of polar molecules in an inhomogeneous electric field, with the ultimate aim of measuring their dipole moments...

of an initial outward explosion of matter. Milne's model assumes an inhomogeneous density function which is Lorentz Invariant (around the event t=x=y=z=0)...

describe a system in which the monomer distribution and concentration are inhomogeneous, and is restricted to a small volume. Parameters determined using the...

cyclotron motion around the trap axis and oscillates along the axis. An inhomogeneous magnetic "bottle field" is applied to measure the quantum properties...

ISBN 978-0-387-87867-6. Wigner, E. P. (1939), "On unitary representations of the inhomogeneous Lorentz group", Annals of Mathematics, 40 (1): 149–204, Bibcode:1939AnMat...

Atmosphere-Dominated Hot Jupiter Kepler Phase Curves: Evidence That Inhomogeneous Atmospheric Reflection is Common", The Astronomical Journal, 150 (4):...

buffers and solvents and also because of the scattering exhibited by inhomogeneous samples in this region. Several other advantages are associated with...

transitions in the Shpolskii systems exhibit narrow lines instead of the inhomogeneously broadened features normally associated with spectra of chromophores...

Experimentally, it is difficult to determine the exact structure of an inhomogeneous surface phase that is in contact with a bulk liquid phase containing...

while Robert Remak had solved it for three variables) on the product of inhomogeneous linear forms and achieved significant progress. The complete solution...

enabled coherent control of the exciton population in the presence of inhomogeneous broadening. In interfacial quantum dots MDCS revealed induced inter-dot...

semiconductor optoelectronics, wave propagation and mode coupling in inhomogeneous media, magnetospheric physics, plasma astrophysics, gamma- and radio-astronomy...

inequalities governing the probabilities p of coincidences. Working from the inhomogeneous version of the inequality, we can write: − 1 ≤ p j k ( a , b ) − p j...

T(V). If the subspace of relations is instead allowed to also contain inhomogeneous degree 2 elements, i.e. S ⊂ k ⊕ V ⊕ (V ⊗ V), this construction results...

^{i}}_{jk}-{{\tilde {\Gamma }}^{i}}_{jk}} is a tensor since the inhomogeneous terms cancel each other. The inhomogeneous terms depend only on how the coordinates are changed...

dissertation was entitled "Electromagnetic Scattering from Certain Radially Inhomogeneous Dielectrics." Nicolaos Alexopoulos's late brother, Aristides Georgiou...

from scattering data or spectral function. Inverse problems for an inhomogeneous Schrödinger equation are studied for the first time, a non-over-determined...

phenomenon of refraction, the bending of sound rays in the presence of an inhomogeneous atmosphere. Wind shear and thermocline produce such inhomogeneities...

is therefore insensitive to the Stark shift that could result from inhomogeneous electric fields within the diamond lattice. This property, together...

This approach provides a material-specific framework for describing inhomogeneous superconductors and heterostructures directly from first principles...

induced by light (e.g. A→B, bright to dark). The sample is illuminated inhomogeneously with the illumination intensity at one position being very small (zero...

flows and dynamics of moving contact lines, statistical mechanics of inhomogeneous liquids, and coarse graining of complex multiscale systems." 2010–2016...

dimensions. In two dimensions, AMR has also been applied to the study of inhomogeneous cosmologies, and to the study of Schwarzschild black holes. The technique...

His approach can be particularly useful in modeling nonlinear elastic inhomogeneous deformations and inelastic deformations. Other remarkable joint works...

service representative. B0 inhomogeneity leads to mismapping of tissues. Inhomogeneous external magnetic field causes either spatial, intensity, or both distortions...

result of two states within the same defect. [citation needed] The inhomogeneous linewidth for this feature reduces in isotopically pure silicon-28....

fails to account for the surface roughness of the adsorbent. Rough inhomogeneous surfaces have multiple site types available for adsorption, with some...

a lower surface tension than water. If alcohol is mixed with water inhomogeneously, a region with a lower concentration of alcohol will pull on the surrounding...

trough as low as z ≈ 5.6 suggests that reionization of the universe is inhomogeneous and incomplete at z = 5.6. Following the first release of data from...

; Waag, Robert C. (1990). "An equation for acoustic propagation in inhomogeneous media with relaxation losses". The Journal of the Acoustical Society...

nonlinear, the model can be solved explicitly, since it is in fact an inhomogeneous linear equation in 1/n. The solution is[citation needed] n t = K n 0...

ice-wedges producing thawing; erosion from fluvial channels causing inhomogeneous sediments. Before complete drainage, lake edges recede through retrogressive...

{\displaystyle \{y_{1},\ldots ,y_{n}\}} as before. Then the original inhomogeneous ODE is used to construct a system of equations restricting the coefficients...

shows a tetragonal arrangement, and there is extensive evidence for inhomogeneous deformations dating back to the early work of Allpress and Sanders,...

SAFE AIR (Simulation of Air pollution From Emissions Above Inhomogeneous Regions) is an advanced atmospheric pollution dispersion model for calculating...

has a magnetic moment and the antiparallel state does not. A strong inhomogeneous magnetic field will separate atoms in the higher energy state from a...

to pass through the average point. He also distinguished between two inhomogeneous sets of data and might have thought of an optimal solution in terms...

can trap particles, preventing full redistribution and resulting in inhomogeneous distribution of solids along the freezing direction as well as discontinuities...

the kiln are often amplified during the sintering process, yielding inhomogeneous densification. Some pores and other structural defects associated with...

and the molar enthalpy Hm = H/n, where n is the number of moles. For inhomogeneous systems the enthalpy is the sum of the enthalpies of the component subsystems:...

the holonomy of the U(1)-connection. Electromagnetic wave equation Inhomogeneous electromagnetic wave equation Mathematical descriptions of the electromagnetic...

homogeneous Lorentz group while the Poincaré group is sometimes called the inhomogeneous Lorentz group. Lorentz transformations are examples of linear transformations;...

Thesis (MIT, 1955) Hillert, M (1961). "A solid-solution model for inhomogeneous systems". Acta Metallurgica. 9 (6). Elsevier BV: 525–535. doi:10...

It can also be used to solve for the quark-photon vertex from the inhomogeneous Bethe-Salpeter equation, for the elastic form factors of pseudoscalar...

members per household is 2.71. The population in this village is very inhomogeneous and the last three censuses registered a decline in the population....

PMID 16578292. E. Wigner (1937). "On Unitary Representations Of The Inhomogeneous Lorentz Group" (PDF). Annals of Mathematics. 40 (1): 149–204. Bibcode:1939AnMat...

well-defined mass, with variable sizes, usually single, solid consistency with inhomogeneous structure. Rarely the central scar can be distinguished. Spectral Doppler...

1981 with J. D. Louck: Biedenharn, L. C.; Louck, J. D. (Feb 1990). "Inhomogeneous basis set of symmetric polynomials defined by tableaux". Proc Natl Acad...

The Lommel differential equation, named after Eugen von Lommel, is an inhomogeneous form of the Bessel differential equation: z 2 d 2 y d z 2 + z d y d...

different speeds, the material has a local electric charge, inducing an inhomogeneous electric field which can be calculated with Gauss's law: ∂ E ∂ x = ρ...

the scalar multiplication operator on a vector space or affine space Inhomogeneous dilation, where scale factors may differ in different directions Dilation...

to solve. Cramer's rule is used to derive the general solution to an inhomogeneous linear differential equation by the method of variation of parameters...

distribution of the electrical and magnetic field strengths is strongly inhomogeneous (standing waves). To reduce this inhomogeneity, one or more tuners (stirrers)...

Scanner LA-UR-93-1637, Tomographic gamma scanning (TGS) to measure inhomogeneous nuclear material matrices from future fuel cycles, LANL, 1993 "H100...

which he derived its physical model, but it was only applicable to an inhomogeneous dielectric material with multiple layers. Permittivity Types of capacitor...

fully nonlinear convex, second order elliptic equations" and "Boundedly inhomogeneous elliptic and parabolic equations", first published in Russian then translated...

cosmological perturbation theory is subtle. In particular, when describing an inhomogeneous spacetime, there are often no preferred coordinate choices. There are...

it is possible to reverse the destructive interference of so-called inhomogeneously broadened systems which contain a distribution of uncoupled subsystems...

to understanding of electric field and mechanical stress effects on inhomogeneous waves. His focus on piezoelectric crystals, which generate electric...

Institute of Technology in 1997. Her dissertation, Contained modes in inhomogeneous plasmas and their interaction with high energy particles, was supervised...

evaporation or field ion images is that the data density is highly inhomogeneous, due to the corrugation of the specimen surface at the atomic scale...

{\displaystyle G} that permits charge imbalance is therefore necessarily inhomogeneous, containing electrostatic surface effects that do not scale proportional...

again to magnitude 4.2. Due to Rho Cassiopeiae's large distance and inhomogeneous surface, distance measurements using the parallax technique failed to...

these buildings collapsed because their foundations were resting on inhomogeneous ground, made of rocks and earth filling. The earth filling slipped with...

theory is not completely accurate, e.g. when the investigated sample has inhomogeneous optical nonlinear properties, or when the nonlinear medium response...

little effect on neutrons. But some effects may be attained by use of inhomogeneous magnetic fields because of the neutron's magnetic moment. Neutrons can...

optimized effective potential method. Hohenberg, P.; Kohn, W. (1964). "Inhomogeneous Electron Gas". Physical Review. 136 (3B): B864. Bibcode:1964PhRv..136...

Contributions to the theory and modelling of seismic waves in anisotropic inhomogeneous media with applications to subduction-zones. queensu.ca (PhD thesis)...

The most recent version is 2.1.1. Hohenberg, P.; Kohn, W. (1964). "Inhomogeneous Electron Gas". Physical Review. 136 (3B): B864–B871. Bibcode:1964PhRv...

theorems for the fundamental problems of plane elasticity involving inhomogeneous anisotropic media: these results are collected in the book (Mikhlin...

1S. doi:10.1016/j.ijms.2014.05.004. Gerlich, Dieter (1992-01-01). "Inhomogeneous RF Fields: A Versatile Tool for the Study of Processes with Slow Ions"...

terms yield excellent results. In other cases, such as in studies of inhomogeneous systems with different phases, accounting for the long-range interactions...

few hundred meters. Compared to typical igneous rocks they are rather inhomogeneous and may show zones with different mineral assemblages. Crystal size...

Scattering Functions in Terms of the Unitary Representations of the Inhomogeneous Lorentz Group 1962 Singularities in Angular Momentum of the Scattering...

vertices. In terms of the Laplacian, the positive solutions to the inhomogeneous equation: Δ ϕ = ϕ − 2. {\displaystyle \Delta \phi =\phi -2.} The resulting...

and drastically improves personalized medicine. Vascular tissues are inhomogeneous with a strongly non linear behaviour. Generally this study involves...

"Deterministic spontaneous appearance of traffic jams in slightly inhomogeneous traffic flow". Physical Review E. 51 (6): 6243–6246. Bibcode:1995PhRvE...

are homogeneous however it is possible to apply it to problems with inhomogeneous boundary conditions by letting u ( x ) = v ( x ) + L ( x ) {\displaystyle...

relativistic red-shift effects. This makes the Unruh temperature spatially inhomogeneous across the uniformly accelerated frame. In special relativity, an observer...

the theory of partial differential equations, the theory of strongly inhomogeneous elastic media, and the mathematical theory of boundary layers. She was...

unreasonably effective. In his paper published in 2016, he solved the inhomogeneous Teukolsky equation, and focused linearized gravitational waves emitted...

"Finite-Difference Time-Domain Simulation of Ground Penetrating Radar on Dispersive, Inhomogeneous, and Conductive Soils". IEEE Transactions on Geoscience and Remote Sensing...

the value V(t) satisfies the inhomogeneous first-order ODE L V = f {\displaystyle {\mathcal {L}}V=f} ("inhomogeneous" is because one has f rather than...

field; liquid crystals; Lifshitz points; composites constructed from inhomogeneous distributions of ingredients; and calculating the elasticity of composite...

ISBN 978-1-83953-613-7. Aki, K., & Richards, P. G. (2002). Quantitative Seismology. Chew, W. C. (1995). Waves and Fields in Inhomogeneous Media. IEEE Press. v t e...

such as exponential, trigonometric and logarithmic functions, or to inhomogeneous polynomials, must be dimensionless quantities. (Note: this requirement...

a multiferroic and the coupling of its order parameters leading to inhomogeneous magnetoelectric effect. Multiferroic domain walls may display particular...

Maxwell's equations can be written as two tensor equations. The two inhomogeneous Maxwell's equations, Gauss's law and Ampère's law (with Maxwell's correction)...

as phases, because they do not satisfy Gibbs' definition: they are inhomogeneous, may have a gradient of structure, composition or properties. For this...

nonzero solution, then its solution space is finite-dimensional, and the inhomogeneous equation is solvable only for those f {\displaystyle f} satisfying finitely...

proposed a method for the production of population inversion using inhomogeneous electric and magnetic fields. Their results were presented at a national...

with impurity metal ions of titanium, aluminium, and manganese. This inhomogeneous crystalline structure gives this variety of magnetite sufficient coercivity...

to a shape with more than two lobes may arise in short, tethered, or inhomogeneous tubes. Once buckled, the tube becomes highly compliant so that small...

frequency of the targeted nucleus, cross-effect can only occur if the inhomogeneously broadened EPR lineshape has a linewidth broader than the nuclear Larmor...

Marín, C. A. L. (November 2018). "Spatially resolving the thermally inhomogeneous outer atmosphere of the red giant Arcturus in the 2.3 μm CO lines"....

1103/PhysRevLett.77.3865 Hohenberg, P.; Kohn, W. (9 November 1964). "Inhomogeneous Electron Gas". Physical Review. 136 (3B): B864–B871. Bibcode:1964PhRv...

Y.V.; Krylov, V.V.; Plessky, V.P. (1995). Surface Acoustic Waves in Inhomogeneous Media. Springer. ISBN 978-3-540-58460-5. "Jeffrey Collins Obituary Herald...

scattered in space with random jet orientations will look like a very inhomogeneous population on Earth. The few objects where θ is small will have one...

polytetrafluoroethylene (PTFE), polyethylene foam, and solid polyethylene. An inhomogeneous dielectric needs to be compensated by a non-circular conductor to avoid...

Hendrickson, and George Christou, Physical Review B, 64, 184426 (2001). "Inhomogeneous broadening of single photon transitions in molecular magnets," Beth...

including the current version of the ΛCDM model, or is the universe inhomogeneous or anisotropic? Is the CMB dipole purely kinematic, or does it signal...

magnetized when brought into the strong magnetic field and create additional inhomogeneous fields. The process of correcting for these inhomogeneities is called...

ISBN 9789024734184. Mandelstam, L.I. (1926). "Light Scattering by Inhomogeneous Media". Zh. Russ. Fiz-Khim. Ova. 58: 381. M. Iona (1982). "Virtual mirrors"...

carcinosarcoma heterogeneity, redox state and growth modulated by an inhomogeneous stationary magnetic field". Journal of Magnetism and Magnetic Materials...

Another analysis showed left-handed materials to be fabricated from inhomogeneous constituents, which yet results in a macroscopically homogeneous material...

including the current version of the ΛCDM model, or is the universe inhomogeneous or anisotropic? Is the CMB dipole purely kinematic, or does it signal...

t^{2}}}\mathbf {P} ^{\text{NL}}.} The nonlinear wave equation is an inhomogeneous differential equation. The general solution comes from the study of...

g. in SELFOC rods, which are used as relay lenses in endoscopes. An inhomogeneous gradient-index lens possesses a refractive index whose change follows...

non-linearity can be modeled by a convex function. Krylov (1982). "Boundedly inhomogeneous elliptic and parabolic equations". Izvestiya Akad. Nauk SSSR, Ser. Mat...

this is represented by Lorentzian peaks. Depending on the system, inhomogeneous broadening and interference between peaks may occur. The Lorentz profile...

url=https://doi.org/10.1214/aop/1022855878 Aldous, D., Pitman, J. Inhomogeneous continuum random trees and the entrance boundary of the additive coalescent...

Physics 45, 1099 (1977); doi: 10.1119/1.10955 J. Galejs, Antennas in Inhomogeneous Media, (Pregamon, Oxford,1969). H. R. L. Lamont, Wave Guides, (Metheun...

microscopy (TEM) reveals that the deformation of a-Fe at the nanoscale is an inhomogeneous process characterized by a series of short displacement bursts and intermittent...

9734. Conduit, G. J.; Green, A. G.; Simons, B. D. (9 November 2009). "Inhomogeneous Phase Formation on the Border of Itinerant Ferromagnetism". Physical...

plates, in combination with a color filter counter-acting the plates' inhomogeneous sensitivity to light of different wavelengths, yielded black and white...

using two techniques: a "berganesque" method that produced inferior, inhomogeneous steel, and a precursor to the modern Bessemer process that used partial...