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Functional equation characterizing associative binary operations
The associativity equation or associativity functional equation is the functional equation F ( F ( x , y ) , z ) = F ( x , F ( y , z ) ) {\displaystyle
Associativity_equation
Property of a mathematical operation
associativity. Moufang identities also provide a weak form of associativity. Associativity equation Hungerford, Thomas W. (1974). Algebra (1st ed.). Springer
Associative_property
Topics referred to by the same term
Associativity is a property of a mathematical operation. It may also refer to: CPU cache#Associativity, associativity in the central processing unit memory
Associativity (disambiguation)
Associativity_(disambiguation)
Description of a quantum-mechanical system
The Schrödinger equation is a partial differential equation that governs the wave function of a non-relativistic quantum-mechanical system. Its discovery
Schrödinger_equation
Equations describing classical electromagnetism
Maxwell's equations are a set of coupled partial differential equations that describe how electric and magnetic fields are generated by electric charges
Maxwell's_equations
Equations in physical cosmology
The Friedmann equations, also known as the Friedmann–Lemaître (FL) equations, are a set of equations in physical cosmology that govern cosmic expansion
Friedmann_equations
Necessary condition for optimality associated with dynamic programming
sequential analysis. The term "Bellman equation" usually refers to the dynamic programming equation (DPE) associated with discrete-time optimization problems
Bellman_equation
Estimate of extraterrestrial civilizations
The Drake equation is a probabilistic argument used to estimate the number of active, communicative extraterrestrial civilizations in the Milky Way Galaxy
Drake_equation
inverse of the metric. The equation is therefore called associativity equation or Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equation. Beside Frobenius algebras
Frobenius_manifold
Mathematical formula expressing equality
an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign =. The word equation and
Equation
Field-equations in general relativity
field equations (EFE; also known as Einstein's equations) relate the geometry of spacetime to the distribution of matter-energy within it. The equations were
Einstein_field_equations
Equation describing a state of matter under a given set of conditions
In physics and chemistry, an equation of state is a thermodynamic equation relating state variables, which describe the state of matter under a given
Equation_of_state
Differential equation containing derivatives with respect to only one variable
In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with any other
Ordinary differential equation
Ordinary_differential_equation
Equations of motion for viscous fluids
Navier–Stokes equations (/nævˈjeɪ ˈstoʊks/ nav-YAY STOHKS) describe the motion of viscous fluids. This system of partial differential equations was named
Navier–Stokes_equations
Derivation of the laws of probability theory
the first known use of the associativity functional equation. János Aczél provides a long proof of the "associativity equation" (pages 256-267). Jaynes
Cox's_theorem
Canonical solutions of the general Legendre equation
In mathematics, the associated Legendre polynomials are the canonical solutions of the general Legendre differential equation ( 1 − x 2 ) d 2 d x 2 P
Associated Legendre polynomials
Associated_Legendre_polynomials
Partial differential equation describing the evolution of temperature in a region
specifically thermodynamics), the heat equation is a parabolic partial differential equation. The theory of the heat equation was first developed by Joseph Fourier
Heat_equation
Second-order partial differential equation
In mathematics and physics, Laplace's equation is a second-order partial differential equation named after Pierre-Simon Laplace, who first studied its
Laplace's_equation
Equation whose unknown is a function
and integral equations are functional equations. However, a more restricted meaning is often used, where a functional equation is an equation that relates
Functional_equation
Type of differential equation
In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives
Partial_differential_equation
Mathematical proofs of basic properties of addition of the natural numbers
addition of the natural numbers: the additive identity, commutativity, and associativity. These proofs are used in the article Addition of natural numbers. This
Proofs involving the addition of natural numbers
Proofs_involving_the_addition_of_natural_numbers
Set of quasilinear hyperbolic equations governing adiabatic and inviscid flow
In fluid dynamics, the Euler equations are a set of partial differential equations governing adiabatic and inviscid flow. They are named after Leonhard
Euler equations (fluid dynamics)
Euler_equations_(fluid_dynamics)
Polynomial equation of degree 3
In algebra, a cubic equation in one variable is an equation of the form a x 3 + b x 2 + c x + d = 0 {\displaystyle ax^{3}+bx^{2}+cx+d=0} in which a is
Cubic_equation
Algebraic structure
semigroup operation to the ordered pair ( x , y ) {\displaystyle (x,y)} . Associativity is formally expressed as that ( x ⋅ y ) ⋅ z = x ⋅ ( y ⋅ z ) {\displaystyle
Semigroup
algebra, the term associator is used in different ways as a measure of the non-associativity of an algebraic structure. Associators are commonly studied
Associator
Elliptic partial differential equation
Poisson's equation is an elliptic partial differential equation of broad utility in theoretical physics. For example, the solution to Poisson's equation is the
Poisson's_equation
Formula for temperature dependence of rates of chemical reactions
In physical chemistry, the Arrhenius equation is a formula for the temperature dependence of reaction rates. In 1889 while working with Wilhelm Ostwald
Arrhenius_equation
Mathematical tool in group theory
Cayley table shows 2-term products. However, Light's associativity test can determine associativity with less effort than brute force. Because the cancellation
Cayley_table
Combination of the diffusion and convection (advection) equations
convection–diffusion equation is a parabolic partial differential equation that combines the diffusion and convection (advection) equations. It describes physical
Convection–diffusion_equation
Principle relating to fluid dynamics
speed increases, it was Leonhard Euler in 1752 who derived Bernoulli's equation in its usual form. Bernoulli's principle can be derived from the principle
Bernoulli's_principle
Sequence of differential equation solutions
Laguerre (1834–1886), are nontrivial solutions of Laguerre's differential equation: x y ″ + ( 1 − x ) y ′ + n y = 0 , y = L ( x ) {\displaystyle xy''+(1-x)y'+ny=0
Laguerre_polynomials
American software company
Vellum interface. Everything in Cobalt is history-driven with associativity and 2D equation-driven parametrics and constraints. It offers surfacing tools
Ashlar-Vellum
System where changes of output are not proportional to changes of input
system of equations, which is a set of simultaneous equations in which the unknowns (or the unknown functions in the case of differential equations) appear
Nonlinear_system
Polynomial equation, generally univariate
In mathematics, an algebraic equation or polynomial equation is an equation of the form P = 0 {\displaystyle P=0} , where P is a polynomial, usually with
Algebraic_equation
Equation describing the transport of some quantity
A continuity equation or transport equation is an equation that describes the transport of some quantity. It is particularly simple and powerful when
Continuity_equation
Differential equation that is linear with respect to the unknown function
the equation are partial derivatives. A linear differential equation or a system of linear equations such that the associated homogeneous equations have
Linear_differential_equation
Set of partial differential equations on fluid flow
The shallow-water equations (SWE) are a set of hyperbolic partial differential equations (or parabolic if viscous shear is considered) that describe the
Shallow_water_equations
Topics referred to by the same term
Logistic equation can refer to: Logistic function, a common S-shaped equation and curve with applications in a wide range of fields. Logistic map, a nonlinear
Logistic_equation
Class of thermodynamic models
Cubic equations of state are a specific class of thermodynamic models for modeling the pressure of a gas as a function of temperature and density and
Cubic_equations_of_state
Equations that describe the behavior of a physical system
In physics, equations of motion are equations that describe the behavior of a physical system in terms of its motion as a function of time. More specifically
Equations_of_motion
Relativistic quantum mechanical wave equation
In particle physics, the Dirac equation is a relativistic wave equation derived by British physicist Paul Dirac in 1928. In its free form, or including
Dirac_equation
Differential equations involving stochastic processes
A stochastic differential equation (SDE) is a differential equation in which one or more of the terms is a stochastic process, resulting in a solution
Stochastic differential equation
Stochastic_differential_equation
Formulation of classical mechanics
This constraint allows the calculation of the equations of motion of the system using Lagrange's equations. Newton's laws and the concept of forces are
Lagrangian_mechanics
Topics referred to by the same term
Hill equation may refer to Hill equation (biochemistry) Hill differential equation This disambiguation page lists articles associated with the title Hill
Hill_equation
Polytope
obtained from one another either by moving a pair of brackets using associativity or by transposing two consecutive terms that are not separated by a
Permutoassociahedron
Tensor that describes the 4D geometry of spacetime
classical theory of gravitation, although the physical content of the associated equations is entirely different. Gutfreund and Renn say "that in general relativity
Metric tensor (general relativity)
Metric_tensor_(general_relativity)
Stochastic differential equation
In physics, a Langevin equation (named after Paul Langevin) is a stochastic differential equation describing how a system evolves when subjected to a combination
Langevin_equation
Topics referred to by the same term
Young–Dupré equation, applies to wetting of ideal solid surfaces This disambiguation page lists articles associated with the title Young's equation. If an
Young's_equation
Set of equations to be solved together
equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought. An equation
System_of_equations
Field equation from quantum gravity
Wheeler–DeWitt equation for theoretical physics and applied mathematics, is a field equation attributed to John Archibald Wheeler and Bryce DeWitt. The equation attempts
Wheeler–DeWitt_equation
Markovian quantum master equation for density matrices (mixed states)
master equation, master equation in Lindblad form, quantum Liouvillian, or Lindbladian is one of the general forms of Markovian master equations describing
Lindbladian
Relativistic wave equation in quantum mechanics
In particle physics, the Klein–Gordon equation is a relativistic wave equation for spinless particles. It was discovered 1926 as the relativistic generalization
Klein–Gordon_equation
Physical law in electrochemistry
In electrochemistry, the Nernst equation is a chemical thermodynamical relationship that permits the calculation of the reduction potential of a reaction
Nernst_equation
Theory of algebraic structures in general
definition has: a single binary operation (signature (2)) 1 equational law (associativity) 2 quantified laws (identity and inverse) while the universal
Universal_algebra
Description of how a trait or gene changes in frequency over time
the theory of evolution and natural selection, the Price equation (also known as Price's equation or Price's theorem) describes how a "characteristic" of
Price_equation
Topics referred to by the same term
Bernoulli equation may refer to: Bernoulli differential equation Bernoulli's equation, in fluid dynamics Euler–Bernoulli beam equation, in solid mechanics
Bernoulli_equation
Standard that diagrams must satisfy up to isomorphism
isomorphisms arise by weakening equalities; e.g., strict associativity may be replaced by associativity via coherent isomorphisms. For example, via this process
Coherency_(homotopy_theory)
Branch of mathematics
methods of transforming equations to isolate variables. Linear algebra is a closely related field that investigates linear equations and combinations of them
Algebra
Apparent solar time minus mean solar time
The equation of time describes the discrepancy between two kinds of solar time. The two times that differ are the apparent solar time, which directly tracks
Equation_of_time
Concepts from linear algebra
satisfying this equation is called a left eigenvector of A, and κ is still called its associated eigenvalue. Taking the transpose of this equation, A T u T =
Eigenvalues_and_eigenvectors
Equation of statistical mechanics
The Boltzmann equation or Boltzmann transport equation (BTE) describes the statistical behaviour of a thermodynamic system not in a state of equilibrium;
Boltzmann_equation
Partial differential equations of correlation functions
mathematical physics the Knizhnik–Zamolodchikov equations, or KZ equations, are linear differential equations satisfied by the correlation functions (on the
Knizhnik–Zamolodchikov equations
Knizhnik–Zamolodchikov_equations
Partial differential equation describing physical fields
theoretical physics and applied mathematics, a field equation is a partial differential equation which determines the dynamics of a physical field, specifically
Field_equation
Equation of the state of a hypothetical ideal gas
The ideal gas law, also called the general gas equation, is the equation of state of a hypothetical ideal gas. It is a good approximation of the behavior
Ideal_gas_law
Equations with an unknown function under an integral sign
integral equations are equations in which an unknown function appears under an integral sign. In mathematical notation, integral equations may thus be
Integral_equation
} that satisfy the following axioms: For all elements a, b, and c: Associativity: a ∨ ( b ∨ c ) = ( a ∨ b ) ∨ c {\displaystyle a\lor \left(b\lor c\right)=\left(a\lor
Robbins_algebra
17th-century conjecture proved by Andrew Wiles in 1994
the most notable theorems in the history of mathematics. The Pythagorean equation, x 2 + y 2 = z 2 {\displaystyle x^{2}+y^{2}=z^{2}} , has an infinite number
Fermat's_Last_Theorem
Nonlinear equation which arises on linear optimal control problems
An algebraic Riccati equation is a type of nonlinear equation that arises in the context of infinite-horizon optimal control problems in continuous time
Algebraic_Riccati_equation
Solutions of Legendre's differential equation
and associated Legendre functions Pμ λ, Qμ λ, and Legendre functions of the second kind, Qn, are all solutions of Legendre's differential equation. The
Legendre_function
Expression of the ionic flux across a cell membrane
The Goldman–Hodgkin–Katz flux equation (or GHK flux equation or GHK current density equation) describes the ionic flux across a cell membrane as a function
Goldman–Hodgkin–Katz flux equation
Goldman–Hodgkin–Katz_flux_equation
Speed of sound wave through elastic medium
386919. Del Grosso, V. A. (1974). "New equation for speed of sound in natural waters (with comparisons to other equations)". Journal of the Acoustical Society
Speed_of_sound
Class of partial differential equations
In mathematics, an elliptic partial differential equation is a type of partial differential equation (PDE). In mathematical modeling, elliptic PDEs are
Elliptic partial differential equation
Elliptic_partial_differential_equation
Orbital mechanics term
In orbital mechanics, Kepler's equation relates various geometric properties of the orbit of a body subject to a central force. It was derived by Johannes
Kepler's_equation
Concept from evolutionary biology
skin pigmentation, the associated equation is a three field reaction–diffusion one in which the linear parameters are associated with pigmentation cell
Turing_pattern
Hydrodynamic formulation of the Schrödinger equations
the Madelung equations, or the equations of quantum hydrodynamics, are Erwin Madelung's alternative formulation of the Schrödinger equation for a spinless
Madelung_equations
Continuously computed dead reckoning
system's revolution was to bind the challenges of missile guidance (and associated equations of motion) in the matrix Q. The Q matrix represents the partial derivatives
Inertial_navigation_system
Gas equation of state which accounts for non-ideal gas behavior
The van der Waals equation is an equation of state that relates the pressure, molar volume, and temperature in fluids. It describes both the liquid and
Van_der_Waals_equation
Equation in polymer science
Flory–Fox equation is a simple empirical formula that relates molecular weight to the glass transition temperature of a polymer system. The equation was first
Flory–Fox_equation
Topics referred to by the same term
Stokes equation may refer to: the Airy equation the equations of Stokes flow, a linearised form of the Navier–Stokes equations in the limit of small Reynolds
Stokes_equation
Topics referred to by the same term
In mathematics, dynamic equation can refer to: difference equation in discrete time differential equation in continuous time time scale calculus in combined
Dynamic_equation
Dynamical system
In mathematics, the replicator equation is a type of dynamical system used in evolutionary game theory to model how the frequency of strategies in a population
Replicator_equation
Topics referred to by the same term
Renormalization group equation may refer to: Beta function (physics) Callan–Symanzik equation Exact renormalization group equation This disambiguation page
Renormalization group equation
Renormalization_group_equation
Discrete analog of a derivative
A difference equation is a functional equation that involves the finite difference operator in the same way as a differential equation involves derivatives
Finite_difference
Algebraic structure with an associative operation and an identity element
monoid if it satisfies the following two axioms: Associativity For all a, b and c in S, the equation (a • b) • c = a • (b • c) holds. Identity element
Monoid
Topics referred to by the same term
Landau–Lifshitz equation (LLE), named for Lev Landau and Evgeny Lifshitz, is a name used for several different differential equations For the Landau–Lifshitz
Landau–Lifshitz_equation
Polynomial function of degree 4
four, called a quartic polynomial. A quartic equation, or equation of the fourth degree, is an equation that equates a quartic polynomial to zero, of
Quartic_function
Equation from probability theory
Chapman–Kolmogorov equation (CKE) is an identity relating the joint probability distributions of different sets of coordinates on a stochastic process. The equation was
Chapman–Kolmogorov_equation
Language equations are mathematical statements that resemble numerical equations, but the variables assume values of formal languages rather than numbers
Language_equation
Type of AC electric motor
referred to the stator side as shown in the following circuit and associated equation and parameter definition tables. The following rule-of-thumb approximations
Induction_motor
Polynomial equation of degree 7
In algebra, a septic equation is an equation of the form a x 7 + b x 6 + c x 5 + d x 4 + e x 3 + f x 2 + g x + h = 0 , {\displaystyle
Septic_equation
Equation in machine learning
differential equations are a class of models in machine learning that combine neural networks with the mathematical framework of differential equations. These
Neural_differential_equation
Topics referred to by the same term
HH equation may refer to: Henderson–Hasselbalch equation Hodgkin–Huxley model This disambiguation page lists articles associated with the title HH equation
HH_equation
Class of ordinary differential equations
Sturm–Liouville problem is a second-order linear ordinary differential equation of the form d d x [ p ( x ) d y d x ] + q ( x ) y = − λ w ( x ) y {\displaystyle
Sturm–Liouville_theory
Topics referred to by the same term
differential equation with an elliptic operator An elliptic partial differential equation This disambiguation page lists articles associated with the title
Elliptic_equation
Chemical theory
proposed in 1990, SAFT has been used in a large number of molecular-based equation of state models for describing the Helmholtz energy contribution due to
Statistical associating fluid theory
Statistical_associating_fluid_theory
In probability theory, a balance equation is an equation that describes the probability flux associated with a Markov chain in and out of states or set
Balance_equation
Expression whose definition assigns it a unique interpretation
precedence, associativity of the operator). For example, in the programming language C, the operator - for subtraction is left-to-right-associative, which
Well-defined_expression
Nonlinear partial differential equation
The sine-Gordon equation is a second-order nonlinear partial differential equation for a function φ {\displaystyle \varphi } dependent on two variables
Sine-Gordon_equation
Partial differential equations whose solutions are instantons
differential geometry and gauge theory, the Yang–Mills equations are a system of partial differential equations for a connection on a vector bundle or principal
Yang–Mills_equations
Differential equation exhibiting high rate of dissipation
In computational mathematics, a stiff equation is an initial value problem u ˙ = f ( u ) , u ( 0 ) = u 0 , t ∈ [ 0 , T ] , {\displaystyle {\dot {u}}=f(u)\
Stiff_equation
ASSOCIATIVITY EQUATION
ASSOCIATIVITY EQUATION
ASSOCIATIVITY EQUATION
ASSOCIATIVITY EQUATION
Boy/Male
Arabic, Muslim
The Fater of Tayyib
Male
Norse
Old Norse name composed of the elements gunnr "battle, fight" and arr "army, war," hence "soldier, warrior." In mythology, this is the name of the husband of Brynhildr.
Male
Spanish
Portuguese and Spanish form of Latin Hippolytus, HIPOLITO means "horse-freer."
Boy/Male
Hebrew
Gift from God.
Boy/Male
Hindu, Indian
Spring Season; Vasanth Ritu
Boy/Male
Hindu
Close friend, Good company, Smart one, Companion, Supreme
Boy/Male
Arabic, Hindu, Indian, Muslim, Pashtun, Sindhi
Prostrator; Adotar; One who Worships God
Girl/Female
Arabic, Muslim
Fair and Beautiful
Girl/Female
Indian
Hopes for the future
Girl/Female
Arabic, Muslim
Mother of Favour; Bounty
ASSOCIATIVITY EQUATION
ASSOCIATIVITY EQUATION
ASSOCIATIVITY EQUATION
ASSOCIATIVITY EQUATION
ASSOCIATIVITY EQUATION
n.
The quality of being associable, or capable of association; associableness.
n.
The act of solving, or the state of being solved; the disentanglement of any intricate problem or difficult question; explanation; clearing up; -- used especially in mathematics, either of the process of solving an equation or problem, or the result of the process.
n.
A quantity which may increase or decrease; a quantity which admits of an infinite number of values in the same expression; a variable quantity; as, in the equation x2 - y2 = R2, x and y are variables.
n.
The change, as of an equation or quantity, into another form without altering the value.
n.
That branch of algebra which treats of quadratic equations.
n.
An identical equation.
n.
Belonging to number; denoting number; consisting in numbers; expressed by numbers, and not letters; as, numerical characters; a numerical equation; a numerical statement.
n.
An expression of the condition of equality between two algebraic quantities or sets of quantities, the sign = being placed between them; as, a binomial equation; a quadratic equation; an algebraic equation; a transcendental equation; an exponential equation; a logarithmic equation; a differential equation, etc.
n.
A spiral whose polar equation is r2/ = a; that is, a curve the square of whose radius vector varies inversely as the angle which the radius vector makes with a given line.
n.
Rank; degree; thus, the order of a curve or surface is the same as the degree of its equation.
n.
The bringing of any term of an equation from one side over to the other without destroying the equation.
n.
A surface whose equation in three variables is of the second degree. Spheres, spheroids, ellipsoids, paraboloids, hyperboloids, also cones and cylinders with circular bases, are quadrics.
a.
Pertaining to terms of the second degree; as, a quadratic equation, in which the highest power of the unknown quantity is a square.
n.
A curve or surface whose equation is of the fourth degree in the variables.
n.
Either of the two parts of an algebraic equation, connected by the sign of equality.
n.
The curve whose ordinates are proportional to the sines of the abscissas, the equation of the curve being y = a sin x. It is also called the curve of sines.
n.
Associability.
v. t.
To bring, as any term of an equation, from one side over to the other, without destroying the equation; thus, if a + b = c, and we make a = c - b, then b is said to be transposed.
n.
A curve of the fourth degree, invented by Pascal. Its polar equation is r = a cos / + b.
a.
Recurring once a month; monthly; gone through in a month; as, the menstrual revolution of the moon; pertaining to monthly changes; as, the menstrual equation of the sun's place.