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Representation of water movement in unsaturated soils
The Richards equation represents the movement of water in unsaturated soils, and is attributed to Lorenzo A. Richards who published the equation in 1931
Richards_equation
Process by which water on the ground surface enters the soil
infiltration into soils is Richards' equation, which is a partial differential equation with very nonlinear coefficients. The Richards equation is computationally
Infiltration_(hydrology)
Speed of water in soil
capillarity, a process known as infiltration. The equation is alternative form of the Richardson/Richards' equation. The key difference being that the dependent
Soil moisture velocity equation
Soil_moisture_velocity_equation
System where changes of output are not proportional to changes of input
Nonlinear Schrödinger equation Power-flow study Richards equation for unsaturated water flow Self-balancing unicycle Sine-Gordon equation Van der Pol oscillator
Nonlinear_system
represents a one-dimensional alternative to the numerical solution of Richards' equation for simulating the movement of water in unsaturated soils. The finite
Finite water-content vadose zone flow method
Finite_water-content_vadose_zone_flow_method
Unsaturated aquifer above the water table
importance to agriculture, contaminant transport, and flood control. The Richards equation is often used to mathematically describe the flow of water, which
Vadose_zone
Hydrologic simulation software suite
two-dimensional variably-saturated domains as described with the Richards equation. The model additionally considered root water uptake as well as a
Hydrus_(software)
Dawes, Warrick R.; White, Ian (1995). "The practicability of using Richards' equation for general purpose soil-water dynamics models". Environment International
Philip_Broadbridge
Quasi-geostrophic equations Shallow water equations Taylor–Goldstein equation Groundwater flow equation Richards equation Hicks equation Kadomtsev–Petviashvili
List of named differential equations
List_of_named_differential_equations
Mathematical relationship describing the flow of groundwater through an aquifer
Used in hydrogeology, the groundwater flow equation is the mathematical relationship which is used to describe the flow of groundwater through an aquifer
Groundwater_flow_equation
This is a list of scientific equations named after people (eponymous equations). Contents A B C D E F G H I J K L M N O P R S T V W Y Z See also References
List of scientific equations named after people
List_of_scientific_equations_named_after_people
Water content of the soil
Interestingly, this equation attributed to Lorenzo Richards was originally published by Lewis Richardson in 1922. The soil moisture velocity equation, which can
Soil_moisture
Stormwater modeling software
hydraulic module solves a combination of the Richards equation, kinematic and diffusive wave equations, Darcy's law, and other user-provided flow models
GIFMod
American physicist
soils. In this research, Richards described a partial differential equation, now commonly known by as the Richards equation. One of his key interests
Lorenzo_A._Richards
Amount of water an aquifer releases while staying saturated
solution of Richards Equation, which requires estimation of the specific yield, or the numerical solution of the Soil Moisture Velocity Equation, which does
Specific_storage
under isothermal conditions. The air phase is infinitely mobile. The Richards’ equation is used to describe three-dimensional transient subsurface flow in
HydroGeoSphere
Groundwater that recharges an aquifer
climate and soil data to arrive at a recharge estimate and use the Richards equation in some form to model groundwater flow in the vadose zone. The impacts
Groundwater_recharge
See also Nonlinear partial differential equation, List of partial differential equation topics and List of nonlinear ordinary differential equations.
List of nonlinear partial differential equations
List_of_nonlinear_partial_differential_equations
German mathematician
was elected to the German Academy of Sciences Leopoldina in 2007. Richards equation Faculty profile, retrieved 2011-05-06. Stephan Luckhaus at the Mathematics
Stephan_Luckhaus
Diffusion process with a non-linear relationship to time
Mark M.; Zhang, Yong; Zhu, Jianting; Chen, Wen (2013). "A fractal Richards' equation to capture the non-Boltzmann scaling of water transport in unsaturated
Anomalous_diffusion
English meteorologist and mathematician (1881–1953)
Richardson extrapolation Richardson number Modified Richardson iteration Richards equation Multiscale turbulence Takebe Kenko Frederick W. Lanchester List of
Lewis_Fry_Richardson
named after Osborne Reynolds, who popularized its use. Richards equation is attributed to Richards in his 1931 publication, but was earlier introduced by
List of examples of Stigler's law
List_of_examples_of_Stigler's_law
SVFLUX makes use of a general finite element solver to solve the Richards equation for both saturated and unsaturated flow. The finite element solver
SVFlux
Marvel Comics fictional character
Franklin Benjamin Richards is a fictional character appearing in American comic books published by Marvel Comics. The character is a supporting character
Franklin_Richards_(character)
Two-dimensional model
using the Penman–Monteith equation Infiltration Green-Ampt Multi-layer Green-Ampt Green-Ampt with redistribution Richards equation Overland flow Explicit
GSSHA
Marvel Comics superhero
Dr. Reed Richards, also known as Mister Fantastic, is a superhero appearing in American comic books published by Marvel Comics. He was created by Stan
Mister_Fantastic
Computer models of groundwater flow systems
using the numerical solution of Richards' equation partial differential equation, or the ordinary differential equation Finite Water-Content method as
Groundwater_model
Fictional mind control formula in DC Comics
Anti-Life Equation is a fictional concept appearing in American comic books published by DC Comics. Various comics have defined the equation in different
Anti-Life_Equation
Mathematical function
(1+Qe^{-\alpha \nu (t-t_{0})})^{1/\nu }}} which is the solution of the Richards's differential equation (RDE): Y ′ ( t ) = α ( 1 − ( Y K ) ν ) Y {\displaystyle Y^{\prime
Generalised_logistic_function
German mathematician (born 1945)
Society. 282 (2): 431–461. doi:10.1090/S0002-9947-1984-0732100-6. Richards equation Hans Wilhelm Alt at the Mathematics Genealogy Project "Prof. Dr. Hans
Hans_Wilhelm_Alt
Incompressible flow (steady state and transient) RF field (TE and TM waves) Richards equation (steady state and transient) Current field as a source for heat transfer
Agros2D
French engineer, academic, and researcher
partial differential equations such as the Lighthill-Whitham-Richards equation, and its integral counterpart the Hamilton-Jacobi equation. His work has focused
Alexandre_M._Bayen
Generalization of derivative to fractals
Meerschaert, M.M.; Zhang, Y.; Zhu, J.; Chen, W. (2013). "A fractal Richards' equation to capture the non-Boltzmann scaling of water transport in unsaturated
Fractal_derivative
Overview of and topical guide to hydrology
Penman-Monteith – Infiltration/Soil Movement Darcy's law – Darcy-Weisbach – Richards equation – Streamflow/Open channel Fick's law of diffusion – Chézy formula
Outline_of_hydrology
Method for numerical differential equations
two-phase flows in porous media, the Richards equation of underground water flow, the fully non-linear Leray—Lions equations. Any scheme entering the GDM framework
Gradient discretisation method
Gradient_discretisation_method
Type of mathematical model
Sediment Transport: 2D total sediment load conservation equation Unsaturated Flow: Richards equation Saturated Flow: Darcy's law and the mass conservation
Hydrological_transport_model
Dutch soil physicist and hydrologist
physics Vadose zone Hydraulic conductivity Water retention curve Richards equation Porous medium HYDRUS (software) Groundwater pollution Solute transport
Martinus Theodorus van Genuchten
Martinus_Theodorus_van_Genuchten
Describe the partitioning of seismic wave energy at an interface
made to develop approximations to the Zoeppritz equations, such as Bortfeld's (1961) and Aki & Richards’ (1980), but the most successful of these is the
Zoeppritz_equations
S-shaped curve
or logistic curve is a common S-shaped curve (sigmoid curve) with the equation f ( x ) = L 1 + e − k ( x − x 0 ) {\displaystyle f(x)={\frac {L}{1+e^{-k(x-x_{0})}}}}
Logistic_function
Richard W. Ziolkowski Richard Wolfson (physicist) Richard von Mises Richards equation Richardson number Richtmyer–Meshkov instability Ricky J Sethi Ridge
Index_of_physics_articles_(R)
Magnitude of velocity
takes. Galileo defined speed as the distance covered per unit of time. In equation form, that is v = d t , {\displaystyle v={\frac {d}{t}},} where v {\displaystyle
Speed
Early 20th century thermochemistry theory
and pressure the equation becomes Δ G = Δ H − T Δ S {\displaystyle \Delta G=\Delta H-T\Delta S} . In the limit of T = 0 the equation reduces to just ΔG
Nernst_heat_theorem
Relation between seismic amplitude and wave travel distance
Shuey, R. T. [1985] A simplification of the Zoeppritz equations. Geophysics, 50:609–614 Richards, P. G., and Frasier, C. W., 1976, Scattering of elastic
Amplitude_versus_offset
Mathematical model of how solid objects deform
independent of the choice of coordinate system, these governing equations are: Cauchy momentum equation, which is an expression of Newton's second law. In convective
Linear_elasticity
Marvel Comics superhero team
(Reed Richards), the group leader who can stretch his body into incredible lengths and shapes; the Invisible Woman (Susan "Sue" Storm-Richards; originally
Fantastic_Four
Marvel Comics supervillain
Kang the Conqueror (Nathaniel Richards) is a supervillain appearing in American comic books published by Marvel Comics. Created by Stan Lee and Jack Kirby
Kang_the_Conqueror
Fictional character appearing in American comic books published by Marvel Comics
The Invisible Woman (Susan "Sue" Storm-Richards) is a superhero appearing in American comic books published by Marvel Comics. Created by Stan Lee and Jack
Invisible_Woman
American physical chemist (1875–1946)
Andover, Lewis returned to Harvard to study with the physical chemist T. W. Richards and obtained his Ph.D. in 1899 with a dissertation on electrochemical potentials
Gilbert_N._Lewis
The Meissner equation is a linear ordinary differential equation that is a special case of Hill's equation with the periodic function given as a square
Meissner_equation
Dynamic disturbance in a medium or field
Relativistic wave equations, wave equations that consider special relativity pp-wave spacetime, a set of exact solutions to Einstein's field equation Alfvén wave
Wave
American chemist (1866–1936)
Society. Along with Willis Rodney Whitney, he formulated the Noyes–Whitney equation in 1897, which relates the rate of dissolution of solids to the properties
Arthur_Amos_Noyes
Mathematical function having a characteristic S-shaped curve or sigmoid curve
ordinary differential equations M20: Solutions of partial differential equation (PDE) M21: Solutions of functional differential equation (FDE) M22: Sum of
Sigmoid_function
American syndicated talk show
Louis, MO. Nathan has been making headlines for his ability to solve long-equation math problems. Rachel started posting his videos on TikTok to share Nathan's
The_Jennifer_Hudson_Show
responsible for important original contributions to analysis, differential equations and mechanics, and the first woman appointed to a full professorship in
List of women in the Heritage Floor
List_of_women_in_the_Heritage_Floor
Supervillain appearing in Marvel Comics
imprisons Franklin Richards in Hell. Doom challenges Reed Richards to escape a magical prison, but with Doctor Strange's help, Richards succeeds, causing
Doctor_Doom
American reality television series episodes
set of SACO medals from World War II; an autographed copy of Peter Lik's Equation of Time, which inspires Chumlee to make a coffee table book of his own;
List_of_Pawn_Stars_episodes
DC Comics supervillain
Apokolips. His ultimate goal is to find and gain control over the Anti-Life Equation to enslave the multiverse by eliminating all hope and free will in sentient
Darkseid
Surface area of a biomolecule accessible to a solvent
molecular biology). ASA was first described by Lee & Richards in 1971 and is sometimes called the Lee-Richards molecular surface. ASA is typically calculated
Accessible_surface_area
Cable or other structure for carrying radio waves
approximately constant. The telegrapher's equations (or just telegraph equations) are a pair of linear differential equations which describe the voltage ( V {\displaystyle
Transmission_line
Phylum of single-celled organisms
of the equations revealed a family of solutions, corresponding to a parameter n, taking values 2, 4. 6. When I had solved the algebraic equations, I then
Radiolaria
DC Comics superheroes
purchased by DC Comics when Quality went out of business in 1956. Dan Richards would eventually be featured in Young All-Stars and All-Star Squadron.
Manhunter_(comics)
Object detection system using radio waves
radar equation slightly for pulse-Doppler radar performance, which can be used to increase detection range and reduce transmit power. The equation above
Radar
Corps Vol. 3 #31–33 October 29, 2014 Green Lantern Volume 6: The Life Equation HC 200 Green Lantern Vol. 5 #35–40, Green Lantern Annual Vol. 5 #3, a story
List of The New 52 imprint publications
List_of_The_New_52_imprint_publications
less than 60%, extrapolation of the leaching curve, the use of a leaching equation (see below) or a leaching model like SaltMod is necessary to obtain a reliable
Leaching_model_(soil)
Marvel Comics character
Gaber 2021. Ridout 2017, p. 357. Mahadeo 2010a. Mahadeo 2010b. Richards 2010a. Richards 2010b. Ridout 2017, p. 361. Ridout 2017, p. 369. Friedenthal 2021
Thor_(Marvel_Comics)
field equations, and lambda - the cosmological constant was added by Einstein to account for how space-time would need to expand; Einstein's equations inferred
List_of_Equinox_episodes
Tabular arrangement of the chemical elements
l {\displaystyle N=n+l} , the zero-energy solutions to the Schrödinger equation for this potential can be described analytically with Gegenbauer polynomials
Periodic_table
American historian of mathematics
Joan Livingston Richards (born 1948) is an American historian of mathematics and a professor of history at Brown University, where she directs the Program
Joan_L._Richards
American chemist (1903–1990)
California Education Harvard University Known for Dole effect Jones–Dole equation Glass electrodes Polymer crosslinking Electrospray ionization Scientific
Malcolm_Dole
Energy driving the accelerated expansion of the universe
be added to the Einstein field equations of general relativity. If considered as a "source term" in the field equation, it can be viewed as equivalent
Dark_energy
Indian film producer (born 1966)
and his directorial debut, Kick. Fernandez said about Sajid "My oldest equation is with him, his wife Warda is my soul sister and I've watched his kids
Sajid_Nadiadwala
Measure of earthquake size
much of the potential energy was released). In particular, he derived an equation that relates an earthquake's seismic moment to its physical parameters:
Moment_magnitude_scale
Marvel Comics fictional character
introduced the concept of a shared destiny between Galactus and Franklin Richards. Writer Mark Waid would subsequently develop this concept further (see
Galactus
Irish writer and critic (1852–1933)
Art. London: Oliver and Boyd. Peck, Harry Thurston (1898). The Personal Equation. New York & London: Harper & Brothers Publishers. Pierse, Mary (2006).
George_Moore_(novelist)
Measure of organism response to stimulus
sigmoidal-shape and monotonic and can be fit to a classical Hill equation. The Hill equation is a logistic function with respect to the logarithm of the dose
Dose–response_relationship
Amount of matter present in an object
surfaces. In such cases, the generalized equation for weight W of an object is related to its mass m by the equation W = –ma, where a is the proper acceleration
Mass
Marvel Comics fictional character
Gang Ymir Young Allies Zabu Zarrko DC Comics 1st Issue Special Anti-Life Equation Apokolips Darkseid DeSaad Doctor Bedlam Female Furies Bernadeth Lashina
Arishem_the_Judge
missiles, spacecraft, magnetohydrodynamics, and partial differential equations; member of National Academy of Engineering Ray W. Clough, MS 1943; National
List of California Institute of Technology people
List_of_California_Institute_of_Technology_people
Subgenre of apocalyptic fiction
the zombie apocalypse, triggered by a new permutation of the Anti-Life Equation. The Zombie Survival Guide (2003) by Max Brooks details how one can survive
Zombie_apocalypse
Marvel Comics character
Gang Ymir Young Allies Zabu Zarrko DC Comics 1st Issue Special Anti-Life Equation Apokolips Darkseid DeSaad Doctor Bedlam Female Furies Bernadeth Lashina
Odin_(Marvel_Comics)
1957 single by Richard Berry
without one plus one equaling three. It's the essential equation of art. It's the essential equation of rock 'n' roll. It's the reason the universe will never
Louie_Louie
Third planet from the Sun
Brooks/Cole. pp. 263–265. ISBN 978-0-495-01148-4. Henshaw, John M. (2014). An Equation for Every Occasion: Fifty-Two Formulas and Why They Matter. Johns Hopkins
Earth
Type of elastic body wave
derivative with respect to time. Combining the last two equations one gets the seismic wave equation in homogeneous media ρ ∂ t 2 u i = λ ∂ i ∑ k ∂ k u k
S_wave
English computer scientist (1912–1954)
looking for casual sex. The title is a sexual pun on a fictional math equation related to the Turing test. The story was later examined by a literary
Alan_Turing
Shaddad (2002). The Rare and Excellent History of Saladin. Translated by Richards, D.S. Ashgate. pp. 201–202. ISBN 978-0754633815. Mikulski, R. et al. (2021)
List of extrajudicial killings and political violence in Lebanon
List_of_extrajudicial_killings_and_political_violence_in_Lebanon
Offensive personality types
dark triad and how they relate to positive emotion. Applying structural equation modeling and Latent Profile Analysis, a type of mixture model, to establish
Dark_triad
Fictional comic book character
Gang Ymir Young Allies Zabu Zarrko DC Comics 1st Issue Special Anti-Life Equation Apokolips Darkseid DeSaad Doctor Bedlam Female Furies Bernadeth Lashina
Bolivar_Trask
German fascist ideology
the Marxist dogma, living, creative Socialism." Historians regard the equation of Nazism as "Hitlerism" as too simplistic, as the term was used prior
Nazism
Migrations of Indo-Aryans into the Indian subcontinent
at the Wayback Machine Agrawal, D.P.: The Indus Civilization = Aryans equation: Is it really a Problem? by D.P. Agrawal (pdf) Genetics Tony Joseph (16
Indo-Aryan_migrations
American psychedelic church
a terminal cancer diagnosis (Richards et al., 1977; 1980; Richards, 1978). Marion Goldin, Dan Rather, William Richards, Kenneth Pugh, others (1976).
Temple of the True Inner Light
Temple_of_the_True_Inner_Light
Measure of the sensitivity of a photodetector
{\displaystyle \mathrm {V} /\mathrm {W} } , respectively). The fundamental equation is S N R = P / N E P {\displaystyle SNR=P/NEP} . A smaller NEP corresponds
Noise-equivalent_power
osmotic stress on the biomass that may affect the outcome. The modified equation for determining the DSVI is: DSVI (mL/g) = diluted settled sludge volume
Sludge_volume_index
Level of psychological well-being
Hedonic and Eudaimonic Aspects of Well-Being Using Exploratory Structural Equation Modeling". Journal of Happiness Studies. 17 (5): 2023–2036. doi:10.1007/s10902-015-9683-z
Mental_health
Study of circular causal processes
ics-and-counterculture.html Logan, Robert K. (2015) Feedforward, I. A. Richards, cybernetics and Marshall McLuhan. Systema: Connecting Catter, Life, Culture
Cybernetics
Fictional country in Marvel Comics
Gang Ymir Young Allies Zabu Zarrko DC Comics 1st Issue Special Anti-Life Equation Apokolips Darkseid DeSaad Doctor Bedlam Female Furies Bernadeth Lashina
Latveria
American politician and diplomat (born 1947)
Bernstein states she believed this combination was possible and that no equation better describes the adult Hillary Clinton. Kenney, Charles (January 12
Hillary_Clinton
DC Comics character
Steppenwolf travels to Earth to retrieve them, discovering the Anti-Life Equation in the process. Darkseid gives Steppenwolf a chance at redemption by uniting
Steppenwolf_(character)
Unit of time based on Earth's orbit
19th-century German astronomer and mathematician Friedrich Bessel. The following equation can be used to compute the current Besselian epoch (in years): B = 1900
Year
Used to count, measure, and label
Diophantus referred to the equation equivalent to 4x + 20 = 0 (the solution is negative) in Arithmetica, saying that the equation gave an absurd result. During
Number
Awareness of facts
useless knowledge is only discovered much later. For example, Maxwell's equations linking magnetism to electricity were considered useless at the time of
Declarative_knowledge
travel, tourism, insurance
RICHARDS EQUATION
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