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dynamics, Hicks equation, sometimes also referred as Bragg–Hawthorne equation or Squire–Long equation, is a partial differential equation that describes
Hicks_equation
Equilibrium equation
toroidal plasma in a tokamak. This equation takes the same form as the Hicks equation from fluid dynamics. This equation is a two-dimensional, nonlinear
Grad–Shafranov_equation
British mathematician and physicist
Sheffield, and Hicks was its first principal until 1905, when the college received its own royal charter and became the University of Sheffield. Hicks was the
William_Mitchinson_Hicks
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
1937 economic paper by John Hicks
fact both of the equations Hicks takes from Keynes are part of the classical analysis. The quantity theory has precisely the sense Hicks gave to it. In
Mr._Keynes_and_the_"Classics"
\quad \nabla ^{2}\zeta =0,\quad \zeta =rf(\psi )} The first equation is the Hicks equation. Marris and Aswani (1977) showed that the only possible solution
Beltrami_flow
flows and plasma physics (see the connection between Hicks equation and Grad–Shafranov equation). The motion ( v r , v θ , v ϕ ) {\displaystyle (v_{r}
Hill's_spherical_vortex
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
Macroeconomic model relating interest rates and output
The IS–LM model, or Hicks–Hansen model, is a two-dimensional macroeconomic model which is used as a pedagogical tool in macroeconomic teaching. The IS–LM
IS–LM_model
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
Equation in economics
observable terms in the Slutsky equation. This process is sometimes known as the Hicks decomposition of a demand change. The equation can be rewritten in terms
Slutsky_equation
Type of technical change in a production function
proportion. The concept of Hicks neutrality was first put forth in 1932 by John Hicks in his book The Theory of Wages. According to Hicks, a neutral invention
Hicks-neutral technical change
Hicks-neutral_technical_change
1936 book by John Maynard Keynes
thus be represented by three equations in three variables as shown below, roughly following Hicks. Three analogous equations can be given for classical
The General Theory of Employment, Interest and Money
The_General_Theory_of_Employment,_Interest_and_Money
American mathematician and Nobel Laureate (1928–2015)
real algebraic geometry, differential geometry, and partial differential equations. Nash and fellow game theorists John Harsanyi and Reinhard Selten were
John_Forbes_Nash_Jr.
German macroeconomist (born 1983)
Moll (born June 29, 1983) is a German macroeconomist who is the Sir John Hicks Chair and Professor of Economics at the London School of Economics. He is
Benjamin_Moll
Geometric progression ratio that provides a constant rate of return over the time period
Bernanke Blanchard Diamond Domar Fisher Frisch Friedman Hansen Harrod Hayek Hicks Kaldor Kalecki Keynes Klein Krugman Kuznets Kydland Lerner Lucas Malthus
Compound_annual_growth_rate
Total value of money available in an economy at a specific point in time
order for the equation of exchange to be useful as a macroeconomics model or as a predictor of prices. Most macroeconomists replace the equation of exchange
Money_supply
Unit of measurement for monetary quantities
as Hicks points out, is the false impression that Keynes assumed wages to be constant at any level of employment short of full employment. Hicks' procedure
Wage_unit
Publication ranking national happiness based on respondent ratings of their lives
the happiness of future generations. It includes a technical annex with equations for calculating the maximization for happiness in public expenditure,
World_Happiness_Report
Vector field on a pseudo-Riemannian manifold that preserves the metric tensor
{\displaystyle Z} . In local coordinates, this amounts to the Killing equation ∇ μ X ν + ∇ ν X μ = 0 . {\displaystyle \nabla _{\mu }X_{\nu }+\nabla _{\nu
Killing_vector_field
Russian mathematical statistician and economist
consumer behavior, most notably the Slutsky equation, christened by John Hicks as the ‘Fundamental Equation of Value Theory'. Slutsky’s work is thus an
Eugen_Slutsky
Group of macroeconomic theories
been confused by J. R. Hicks' attempt to reduce the General Theory to a version of static equilibrium with the formula IS–LM. Hicks has now repented and
Keynesian_economics
Concept in microeconomics
Convex preferences Expenditure minimization problem Slutsky equation Duality (optimization) Hicks–Marshall laws of derived demand Jonathan Levin; Paul Milgrom
Hicksian_demand_function
Branch of mathematics
that may be derived from them. These equations often arise as the Euler–Lagrange equations describing the equations of motion of certain physical systems
Differential_geometry
Curve formed by a hanging chain
the catenary curve were studied by Robert Hooke in the 1670s, and its equation was derived by Leibniz, Huygens and Johann Bernoulli in 1691. Catenaries
Catenary
Attitudes and behaviors towards sex in ancient Rome
introduction to Women and Slaves in Greco-Roman Culture: Differential Equations (Routledge, 1998), p. 11. Parker, p. 281. Parker, p. 283. Tacitus, Annales
Sexuality_in_ancient_Rome
Study of processing speed on cognitive tasks
differences between individuals, which came to be known as the "personal equation" of astronomical timing. This phenomenon was explored in detail by English
Mental_chronometry
Law in public finance studies: income as consumption plus change in net worth
Haig–Simons income, Schanz–Haig–Simons income, or Haig-Simons-Hicks income is an income measure used by public finance economists which defines household
Haig–Simons_income
Application of mathematical and statistical methods in finance
one of the key theorems in mathematical finance, while the Black–Scholes equation and formula are amongst the key results. Today many universities offer
Mathematical_finance
American singer (born 1978)
Slash and Dave Koz. Yamin collaborated with fellow American Idol Taylor Hicks on Hicks' second album, The Distance, released on March 10, 2009. They recorded
Elliott_Yamin
Total demand for final goods and services in an economy at a given time
Bernanke Blanchard Diamond Domar Fisher Frisch Friedman Hansen Harrod Hayek Hicks Kaldor Kalecki Keynes Klein Krugman Kuznets Kydland Lerner Lucas Malthus
Aggregate_demand
Term in nuclear medicine
g c i n j . {\displaystyle SUV={\frac {c_{img}}{c_{inj}}}.} While this equation looks simple, there are a number of points that need to be discussed, such
Standardized_uptake_value
innovation is a microeconomic hypothesis first proposed in 1932 by John Hicks in his work The Theory of Wages. He proposed that "a change in the relative
Induced_innovation
Change in sea level due to gravity
differential equations relating the ocean's horizontal flow to its surface height, the first major dynamic theory for water tides. The Laplace tidal equations are
Tide
Wealth gained over a given time period
{\displaystyle P_{y}} . The basic equation for this is Y = P x ⋅ x + P y ⋅ y {\displaystyle Y=P_{x}\cdot x+P_{y}\cdot y} This equation implies two things. First
Income
State of matter
a single fluid governed by a combination of Maxwell's equations and the Navier–Stokes equations. A more general description is the two-fluid plasma, where
Plasma_(physics)
Method of hydrodynamics simulation
accurate rigid body interactions K. Bodin et al., 2011, replace the standard equation of state pressure with a density constraint and apply a variational time
Smoothed-particle hydrodynamics
Smoothed-particle_hydrodynamics
Device involving the flow of liquids through tubes
force. All known published theories in modern times recognize Bernoulli's equation as a decent approximation to idealized, friction-free siphon operation
Siphon
German fascist ideology
Retrieved 14 May 2026. Broszat 1981, pp. 21–22. Jacks, Lawrence Pearsall; Hicks, George Dawes; Hübner, Gustav (1925). "The Present Mind of German Universities"
Nazism
Polish economist (1899–1970)
preceding equation), we can simplify the two terms and arrive at: P = C P + I {\displaystyle \textstyle P=C_{P}+I} This is the famous profits equation, which
Michał_Kalecki
ping-pong ball. Before she stealthily leaves, Gandra gives Fenton the equation he needed to stabilize said ping-pong ball. 39 16 "The Duck Knight Returns
List of DuckTales (2017 TV series) episodes
List_of_DuckTales_(2017_TV_series)_episodes
Israeli-American psychologist and economist (1934–2024)
Evolutionarily stable state Evolutionarily stable strategy Replicator equation Risk dominance Stochastically stable equilibrium Weak evolutionarily stable
Daniel_Kahneman
Films with a devoted fanbase
Archived from the original on November 9, 2019. Retrieved November 8, 2019. Hicks, Chris (August 28, 1991). ""Beastmaster" Actor Has Kept Busy". Deseret News
Cult_film
Model of long-run economic growth
model is a nonlinear system consisting of a single ordinary differential equation that models the evolution of the per capita stock of capital. Due to its
Solow–Swan_model
Study of an economy as a whole
multiplier equation shows how a bank can expand the money supply by taking in deposits and making loans. The money supply reserve multiplier equation is: Money
Macroeconomics
unified the electric and magnetic forces in what are now known as Maxwell's equations. Following his publication of A Dynamical Theory of the Electromagnetic
Culture_of_the_United_Kingdom
Behavior of individuals and firms
takes on a Paretian norm, which is a mathematical application of the Kaldor–Hicks method. This can diverge from the Utilitarian goal of maximizing utility
Microeconomics
Emperor of the French from 1852 to 1870
Vol. 11. Cambridge University Press. pp. 147–175. ISBN 978-0-5218-1560-4. Hicks, Peter (2016). "'Palmerston's Follies': a reply to the French 'threat'"
Napoleon_III
Educational television series
Elizabeth (21 August 2017). "CBeebies' Numberblocks adds Larkshead Media to equation". Kidscreen. Brunico Communications. Retrieved 8 January 2022. "Learning
Numberblocks
Device that imparts energy to the fluids by mechanical action
series of simultaneous differential equations, known as the Navier–Stokes equations. However a more simple equation relating only the different energies
Pump
Socratic dialogue by Plato
Academics: Bion" . Lives of the Eminent Philosophers. Vol. 1:4. Translated by Hicks, Robert Drew (Two volume ed.). Loeb Classical Library. Diels, Hermann (1917)
Symposium_(Plato)
Microeconomic effect due to a price change
difference between the new point of tangency and the old bundle is the Hicks substitution effect.[not verified in body] The idea: the consumer is given
Substitution_effect
Jet engine where combustion takes place in supersonic airflow
Roudakov, Alexander S.; Semenov, Vyacheslav L.; Kopchenov, Valeriy I.; Hicks, John W. (1996). "Future Flight Test Plans of an Axisymmetric Hydrogen-Fueled
Scramjet
American musician (born 1965)
Jools Holland. Moby hosts a podcast called Moby Pod with co-hosts Lindsay Hicks and Bagel. Starting around 2001, Moby launched a series of co-owned business
Moby
Field of machine learning
methods that do not rely on the Bellman equations and the basic TD methods that rely entirely on the Bellman equations. This can be effective in palliating
Reinforcement_learning
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
for SARS-CoV-2 following a positive test from his senior advisor, Hope Hicks, as part of the larger COVID-19 outbreak among White House personnel. Both
2020 United States presidential election
2020_United_States_presidential_election
Total market value of goods and services produced within a country
notating it as the single variable NX. The raw GDP figure given by the equations above is called the nominal, historical, or current GDP. When comparing
Gross_domestic_product
US National Historic Landmark in St. Louis, Missouri
2021. Retrieved December 14, 2010. Weisstein, Eric. "Catenary". MathWorld. Hicks, Clifford B. (December 1963). "The Incredible Gateway Arch: America's Mightiest
Gateway_Arch
Material composed of antiparticles
the possibility of matter with negative gravity was discussed by William Hicks in the 1880s. Between the 1880s and the 1890s, Karl Pearson proposed the
Antimatter
Type of rechargeable battery
from the original on 3 May 2019. Retrieved 3 May 2019. Wang, J.; Liu, P.; Hicks-Garner, J.; Sherman, E.; Soukiazian, S.; Verbrugge, M.; Tataria, H.; Musser
Lithium-ion_battery
Douglas Williamson, known for his contribution to the Adams–Williamson equation Malcolm Atkinson Christopher Bishop Alan Bundy Peter Buneman Rod Burstall
List of University of Edinburgh people
List_of_University_of_Edinburgh_people
comedian, actor Jack Handey (born 1949), writer for Saturday Night Live Bill Hicks (1961–1994), comedian KevJumba (Kevin Wu) (born 1990), comedian, YouTube
List_of_people_from_Texas
Device used to measure the amount of light
Fountain Press. pp. 87–121. ISBN 0-85242-361-6. Retrieved 8 September 2023. Hicks, Roger; Schultz, Frances (1999). "7: Exposure Meters". Perfect exposure:
Light_meter
List of statements that appear to contradict themselves
despite technological improvements. Scitovsky paradox: Using the Kaldor–Hicks criterion, an allocation A may be more efficient than allocation B, while
List_of_paradoxes
Natural hazard involving ground movement
Caplan-Auerbach, Jacqueline; Ekström, Göran; Fathian, Aram; Geertsema, Marten; Hicks, Stephen P.; Higman, Bretwood; Jensen, Erin K.; Karasözen, Ezgi; Lynett
Landslide
1955 song 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
Greek philosopher (c. 570 – c. 495 BC)
200 AD]. "Book I". Lives of the Eminent Philosophers. Vol. I. Translated by Hicks, Robert Drew. Loeb Classical Library. Cambridge, Massachusetts and London:
Pythagoras
American economist and statistician (1912–2006)
pdf) as yielding significant improvements over previous money demand equations. Colander, D. (1995). Is Milton Friedman an artist or a scientist?. Journal
Milton_Friedman
Use of technology in education to enhance learning and teaching
Archived (PDF) from the original on 5 October 2016. Retrieved 2 April 2016. Hicks, S.D. (2011). "Technology in today's classroom: Are you a tech-savvy teacher
Educational_technology
Season of television series
Daniel Hicks, who was to receive the designer virus before he too transformed. Hicks, now transformed, escapes. The team finds out that the Hicks creature
Fringe_season_4
Amijai; Milles, Lukas F.; Baek, Minkyung; Anishchenko, Ivan; Yang, Wei; Hicks, Derrick R.; Expòsit, Marc; Schlichthaerle, Thomas; Chun, Jung-Ho; Dauparas
2022_in_science
American business-focused daily newspaper
Paul R. Martin. Front page editor Bill Power and online editor Jennifer Hicks succeeded him in 2013. The Journal announces major stylistic changes through
The_Wall_Street_Journal
Nonconceptual awareness and interconnectedness
"Others: Pyrrho" . Lives of the Eminent Philosophers. Vol. 2:9. Translated by Hicks, Robert Drew (Two volume ed.). Loeb Classical Library. Adrian Kuzminski
Nondualism
Political philosophy emphasising social ownership of production
Janet (1997). The Murray Bookchin Reader. Cassell. p. 170. ISBN 0304338737. Hicks, Steven V.; Shannon, Daniel E. (2003). The American journal of economics
Socialism
Study of organisms and their environment
3732/ajb.95.4.516. PMID 21632377. S2CID 429191. Gartner, Gabriel E.A.; Hicks, James W.; Manzani, Paulo R.; et al. (2010). "Phylogeny, ecology, and heart
Ecology
Chemical element with atomic number 80 (Hg)
Meaning". Ancient Mesoamerica. 22 (2): 229–244. doi:10.1017/S0956536111000241. Hicks, R. D. (1907). "Chapter 3". Aristotle De Anima. Cambridge: Cambridge University
Mercury_(element)
Philosophical system developed by Ayn Rand
Retrieved July 20, 2007. Honderich 2005, pp. x, 740 Salmieri & Gotthelf 2005 Hicks 2005 Stevens 1998 Mautner, Thomas. The Penguin Dictionary of Philosophy
Objectivism
Postulated continued existence after death
notes that the materialist must have some sort of physical continuity. John Hick also raises questions regarding personal identity in his book, Death and
Afterlife
Branch of applied probability theory
algebra Differential equations Ordinary differential equations Partial differential equations Stochastic differential equations Differential geometry
Decision_theory
scraps of paper with calculation, to satisfy their curiosity about an equation. Even into the period of programmable calculators, Richard Feynman would
History_of_computing
Ancient Greek philosopher and polymath (384–322 BC)
Thought. This gives logic a mathematical foundation with equations, enables it to solve equations as well as check validity, and allows it to handle a wider
Aristotle
Airflow above and below the speed of sound
engineers to linearize the compressible flow equations into a relatively easily solvable set of differential equations for either wholly subsonic or supersonic
Transonic
Species of fish
weight (W, in pounds) for nearly all species of fish can be expressed by an equation of the form: W = c L b {\displaystyle W=cL^{b}\!\,} Invariably, b is close
Pacific_halibut
Predictive model of human movement
practice of building linear regression equations and examining the correlation (r) for goodness of fit. The equation expresses the relationship between MT
Fitts's_law
Hypothesis about sapient life and the universe
but nearly always overlooked distinction to an obscure 1883 book by L. E. Hicks. Seeing little sense in a principle requiring intelligent life to emerge
Anthropic_principle
Hand game for two players or more
Archived from the original on 16 November 2023. Retrieved 16 November 2023. Hicks, Stacey (2022-10-24). "Aussies debate the correct way to play 'Scissors
Rock_paper_scissors
Mathematical function, inverse of an exponential function
scientific formulas, such as the Tsiolkovsky rocket equation, the Fenske equation, or the Nernst equation. Scientific quantities are often expressed as logarithms
Logarithm
Mets) (b. 1951) September 16 Ronald Cohn, 78, zoologist (b. 1943) Marva Hicks, 66, singer and actress (Mad About You, One Life to Live, Star Trek: Voyager)
2022 deaths in the United States (July–December)
2022_deaths_in_the_United_States_(July–December)
School of macroeconomics
two equations of the new Keynesian Phillips curve and the Taylor rule with the dynamic IS curve derived from the optimal dynamic consumption equation (household's
New_Keynesian_economics
Private liberal arts college in Los Angeles, California
Retrieved February 12, 2025. "College Navigator - Occidental College". Hicks, Bob. "Corey Brunish, beyond Broadway | Oregon ArtsWatch". Retrieved August
Occidental_College
Long-term inflammatory disease of the airways of the lungs
doi:10.1186/s13223-025-00949-4. PMC 11808942. PMID 39930536. Yang CL, Hicks EA, Mitchell P, Reisman J, Podgers D, Hayward KM, et al. (November 2, 2021)
Asthma
Methods in numerical analysis not requiring knowledge of neighboring points
operators are then used to construct the equations to simulate—such as the Euler equations or the Navier–Stokes equations. But in simulations where the material
Meshfree_methods
Concept in economics and decision theory
individual is willing to switch from one good to another. Using a mathematic equation, M R S = − d x 2 / d x 1 {\displaystyle MRS=-\operatorname {d} \!x_{2}/\operatorname
Utility
Devaluation of money's purchasing power
money in a system will change the price level. This theory begins with the equation of exchange: M V = P Q , {\displaystyle MV=PQ,} where M {\displaystyle
Inflation
Phenomena related to electric charge
part of the phenomenon of electromagnetism, as described by Maxwell's equations. Common phenomena are related to electricity, including lightning, static
Electricity
Fabrication process for joining materials
Symbols 2001, p. 117 Weman 2003, pp. 89–90 Kallee 2006 Kallee et al. 2010 Hicks 1999, pp. 52–55 Cary & Helzer 2005, pp. 19, 103, 206 Cary & Helzer 2005
Welding
Weakly optimal allocation of resources
ui(s) for every player i and uj(s′) > uj(s) for some player j. In this equation, u represents the utility or benefit and j represents the player. Efficiency
Pareto_efficiency
Statistical model to calculate the value of multiple quantities as they change over time
the autoregressive model, each variable has an equation modelling its evolution over time. This equation includes the variable's lagged (past) values,
Vector_autoregression
Season of television series
complicated math equation that predicts the end will come on May 18th, but when the end does not come, Homer discovers a flaw in the equation and ends up in
The_Simpsons_season_16
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