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### Navier-Stokes EquationsUpDw('NAVIER-STOKES_EQUATIONS','-Abz-');

1. The Navier-Stokes equations are a set of nonlinear partial differential equations that describe the flow of fluids.
2. The Navier-Stokes equations are almost universally dealt with for Newtonian fluids.
3. The Navier-Stokes equations are also of great interest in a purely mathematical sense.
4. The Navier-Stokes equations are based on the assumption that the fluid, at the scale of interest, is a continuum, i.e., is not made up of discrete particles.
5. The Navier-Stokes equations are differential equations which describe the motion of a fluid.

### EquationsUpDw('EQUATIONS','-Abz-');

1. Equations are statements that use numbers and symbols to demonstrate that two groups of mathematical data are equal. +2
2. Equations are often used to state the equality of two expression (mathematics) containing one or more variables. +2
3. Equations are a shorthand way of representing a chemical reaction.
4. Equations are equivalent if they have exactly the same solutions.
5. Equations are often used to state the equality of two expressions containing one or more variables.
6. Equations is a game of challenge and creativity where you take it in turn to place tiles on the board to form arithmetic equations.

### EquationUpDw('EQUATION','-Abz-');

1. An equation is a mathematical statement, in symbols, that two things are the same (or equivalent). +2
2. The equation is used to determine the dispersion of light in a refracting medium.
3. An equation is a statement that two expressions are equal.

### Equation SolvingUpDw('EQUATION_SOLVING','-Abz-');

1. Equation solving is a must for getting through any problem of math.
2. Equation solving is a typical situation.

### Euler EquationsUpDw('EULER_EQUATIONS','-Abz-');

1. The Euler equations are nonlinear hyperbolic equations and their general solutions are waves. +2
2. The Euler equations are a simpler version of the Navier-Stokes equations.

### Field EquationUpDw('FIELD_EQUATION','-Abz-');

1. A field equation is an equation in a physical theory that describes how a fundamental force (or a combination of such forces) interacts with matter.

### Arrhenius EquationUpDw('ARRHENIUS_EQUATION','-Abz-');

1. The Arrhenius equation is a simple, but remarkably accurate, formula for the temperature dependence of a chemical reaction rate. +3
2. The Arrhenius equation is used in the study of reaction kinetics. +2
3. The Arrhenius equation is a formula for the temperature dependence of.
4. The Arrhenius equation was modified using this linear relation, leaving the activation energy as the only parameter affected by water stress.

### Boltzmann EquationUpDw('BOLTZMANN_EQUATION','-Abz-');

1. The Boltzmann equation was developed to describe the dynamics of an ideal gas.

### Chapman-Kolmogorov EquationUpDw('CHAPMAN-KOLMOGOROV_EQUATION','-Abz-');

1. A Chapman-Kolmogorov equation is a necessary but not sufficient condition for a Markov process.
2. A Chapman-Kolmogorov equation is a necessary however not sufficient condition for a Markov process.
3. The Chapman-Kolmogorov equation is a necessary but insufficient condition for a Markov process.

### Chemical EquationUpDw('CHEMICAL_EQUATION','-Abz-');

1. A chemical equation is a symbolic representation of a chemical reaction in terms of chemical formulas. +2
2. A chemical equation is a chemist ' s shorthand expression for describing a chemical change.
3. A chemical equation is a statement of what can happen, not necessarily what will happen.
4. A chemical equation is a symbolic representation of a chemical reaction.
5. A chemical equation is a symbolic representation of all of the substances involved in a chemical reaction.
6. A chemical equation is a way to describe what goes on in a chemical reaction, the actual change in a material.
7. A chemical equation is a way to predict the way that two or more chemicals will work together.

### Chemical EquationsUpDw('CHEMICAL_EQUATIONS','-Abz-');

1. Chemical Equations: An equation with coefficients and formulas showing the starting and final substances maintaining atomic balance.
2. Chemical equations are written with the symbols of materials to include elements, ionic or covalent compounds, aqueous solutions, ions, or particles.

### Cubic EquationsUpDw('CUBIC_EQUATIONS','-Abz-');

1. Cubic equations were first discovered by Jaina Mathematicians in Ancient India sometime between 400 BC and 200 CE . +2
2. Cubic equations were discovered by the ancient civilizations more or less independently.
3. Cubic equations were first used by Jaina mathematicians in ancient India sometime between 200 BC and 400 CE.

### Differential EquationsUpDw('DIFFERENTIAL_EQUATIONS','-Abz-');

1. Differential Equations are the language in which the laws of nature are expressed.
2. Differential Equations is a huge, varied and fascinating field of study.
3. Differential equations are formulae showing how the rate of change of a certain quantity changes under outside influences.
4. Differential equations are now essential tools for describing a wide variety of phenomena.
5. Differential equations are ubiquitous in the sciences.
6. Differential equations are used to construct mathematical models of physical phenomena such as fluid dynamics or celestial mechanics.
7. The differential equations are therefore partial differential equations and not ordinary differential equations that you study in a beginning calculus class.

### Dirac EquationUpDw('DIRAC_EQUATION','-Abz-');

1. The Dirac equation is a relativistic quantum mechanical wave equation which describes the behavior of relativistic fermions, invented by Paul Dirac in 1928. +2
2. The Dirac equation is a relativistic quantum mechanical wave equation formulated by Paul Dirac in 1928. +2
3. Dirac equation - The Dirac equation will be analysed in depth and its successes and limitations will be stressed.
4. The Dirac equation is a relativistic quantum mechanical wave equation invented by Paul Dirac in 1928.
5. The Dirac equation is an equation derived by Paul Dirac in 1927 that describes relativistic spin particles (fermions).

### Wave EquationUpDw('WAVE_EQUATION','-Abz-');

1. The wave equation is a differential equation which describes a harmonic wave passing through a certain medium. +2
2. The wave equation is a differential equation that describes the evolution of a harmonic wave over time.
3. The wave equation is a fundamental model in mathematical physics that describes how a disturbance travels through matter.
4. The wave equation is the prototypical example of a hyperbolic partial differential equation.
5. The wave equation is the universal equation of physics.

### System of Linear EquationsUpDw('SYSTEM_OF_LINEAR_EQUATIONS','-Abz-');

1. A system of linear equations is a collection of 2 or more linear equations, all having the same variables.
2. A system of linear equations is a collection of linear equations involving the same variables.
3. A system of linear equations is a collection of linear equations using the same variables.
4. A system of linear equations is a set of linear equations involving two or more variables.
5. A system of linear equations is a set of two or more linear equations containing two or more variables.

### Fokker-Planck EquationUpDw('FOKKER-PLANCK_EQUATION','-Abz-');

1. The Fokker-Planck equation is a partial differential equation that describes the time evolution of the probability distribution function.

1. Quadratic equations - A complete course in algebra A QUADRATIC is a polynomial whose highest exponent is 2.
3. Quadratic equations are important forms that are used to model many situations.
4. Quadratic equations are so useful that there is a solution called the quadratic formula, which was derived by a process called completing the square.
5. Quadratic equations are solved for the purpose of finding the x-intercepts involved, and to solve for x-values.
6. Quadratic equations are very important in math.

### Price EquationUpDw('PRICE_EQUATION','-Abz-');

1. The Price equation was derived by George R. Price , working in London to rederive W.D. Hamilton 's work on kin selection . +2
2. The Price equation is a method of partitioning covariances between a trait and relative fitness into within group and between group components. +2
3. Price Equation is the main driver toward commoditization in the hotel industry.
4. The Price equation is a simplified mathematical model of the genetic evolution of sickle cell anaemia.
5. The price equation is a bivariate generalization of equation (2) As in the univariate case, the variance of the random walk is identified.

### Linear EquationUpDw('LINEAR_EQUATION','-Abz-');

1. A linear equation is a first degree equation (the variable are raised to the first power).
2. A linear equation is a mathematical expression which represents a straight line.
3. A linear equation is a polynomial of degree 1.
4. A linear equation is a relation of the form, where is to be considered as the unknown.
5. A linear equation is an algebraic equation in which each term is either a constant or the product of a constant times the first power of a variable.
6. A linear equation is an equation containing only functions that are linear in the variables of interest: put more simply, terms such as x 2 aren't allowed.
7. A linear equation is an equation in which each term is either a constant or the product of a constant times the first power of a variable.

### Integral EquationsUpDw('INTEGRAL_EQUATIONS','-Abz-');

1. Integral equations are important in many applications.

### Heat EquationUpDw('HEAT_EQUATION','-Abz-');

1. The Heat Equation - An interactive page illustrating solutions of the one-dimensional heat equation.
2. The heat equation is a consequence of Fourier's law of cooling (see heat conduction).
3. The heat equation is the prototypical example of a parabolic partial differential equation.
4. The heat equation is used in probability and describes random walks.
5. The heat equation is used to determine the change in the function u over time.

### EntropyUpDw('ENTROPY','-Abz-');

1. Entropy is a measure of both the way the particles are arranged AND the ways the quanta of energy can be arranged.
2. The entropy is a measure of the disorder of a system.

### Equation of MotionUpDw('EQUATION_OF_MOTION','-Abz-');

1. The Equation of Motion is a momentum balance, similarly derived by considering a differential volume element across which fluid momentum flows.
2. The Equation of Motion is one of the equations of change --a set of relationships that enables one to solve complex systems of fluid flow.
3. The equation of motion is a second-order differential equation (due to the second derivative of the angle ).

1. The advection equation is the partial differential equation that governs the motion of a conserved scalar as it is advected by a known velocity field.

### Constitutive EquationUpDw('CONSTITUTIVE_EQUATION','-Abz-');

1. The constitutive equation describes how the stresses and straines are related within the plate (Hooke's law). +2
2. A constitutive equation frequently has a parameter taken to be a constant of proportionality in ideal systems.
3. Such a relation is called a constitutive equation.

### Cauchy-Riemann EquationsUpDw('CAUCHY-RIEMANN_EQUATIONS','-Abz-');

1. The Cauchy-Riemann equations are often reformulated in a variety of ways.

### Continuity EquationUpDw('CONTINUITY_EQUATION','-Abz-');

1. A continuity equation is a differential equation that describes the conservative transport of some kind of quantity. +2
2. A continuity equation is a balance equation.
3. The Continuity Equation - The Continuity Equation is a statement that mass is conserved.
4. The continuity equation is a statement of the conservation of mass in a system.
5. The continuity equation is simply a mathematical expression of the principle of conservation of mass.

### Cubic EquationUpDw('CUBIC_EQUATION','-Abz-');

1. A cubic equation is a Polynomial equation of degree three.
2. A cubic equation is a polynomial equation in which the highest occurring power of the unknown is the third power.
3. A cubic equation is a polynomial equation in which the highest occurring power of the unknown x is the third power.
4. A cubic equation is a polynomial equation of the third degree.
5. The cubic equation is a special case of such a transformation.

### Darcy-Weisbach EquationUpDw('DARCY-WEISBACH_EQUATION','-Abz-');

1. The Darcy-Weisbach equation is an important and widely used equation in hydraulics. +2
2. The Darcy-Weisbach equation is a phenomenological formula obtainable by dimensional analysis. +2
3. The Darcy-Weisbach Equation is a one page description of the equation and its use.
4. The Darcy-Weisbach equation is an important and widely used phenomenological equation in hydraulics.

### Diophantine EquationUpDw('DIOPHANTINE_EQUATION','-Abz-');

1. A Diophantine equation is a polynomial equation with integral coefficients to which only integral solutions are considered. +2
2. A Diophantine equation is a polynomial equation with integer coefficients. +2
3. A Diophantine equation is a polynomial equa - tion f ( x.
4. A Diophantine equation is a polynomial equation with integer coe --- cients.
5. A Diophantine equation is a polynomial equation with integral coefficients to which only integral solutions are sought.
6. A Diophantine equation is an equation in which only integer solutions are allowed.

### Drake EquationUpDw('DRAKE_EQUATION','-Abz-');

1. The Drake Equation is a simple, effective tool for making us realize how much we are a part of the universe around us. +2
2. Drake Equation is a 2001 ( see 2001 in music) album by the band Tub Ring.
3. The Drake Equation is a similar beast.
4. The Drake equation is an attempt to estimate the number of technological civilizations that might exist in our galaxy.

1. To achieve this goal we need to solve a relativistic Faddeev equation. +2
2. The factorizability of the two-body T-matrix reduces the three-body Faddeev equation to a tractable two-body Bethe-Salpeter equation. +2
3. We propose a practical method to solve this Faddeev equation, by eliminating the admixture of such redundant components.

### Fowler-Nordheim EquationUpDw('FOWLER-NORDHEIM_EQUATION','-Abz-');

1. The current density produced by a given electric field is governed by the Fowler-Nordheim equation.
2. The CPO program uses a Fowler-Nordheim equation in simulating field emission cathodes as mentioned in Cathodes Emissions in CPO.

### Fresnel EquationsUpDw('FRESNEL_EQUATIONS','-Abz-');

1. Consequences of the Fresnel equations: total internal reflection, polarization on reflection and Brewster's angle.
2. Fresnel equations, describing light reflection and refraction.

### Klein-Gordon EquationUpDw('KLEIN-GORDON_EQUATION','-Abz-');

1. A Klein-Gordon Equation is a relativistic wave equation for a particle which should reduce to a Schrodinger type of equation.
2. Klein-Gordon equation - A set of basic notes introducing the Klein-Gordon equation and the Dirac equation.
3. The Klein-Gordon equation is a relativistic version ( describing spinless particles) of the Schr--dinger equation .
4. The Klein-Gordon equation is a scalar equation.
5. The Klein-Gordon equation is an equation of mathematical physics that describes spin-0 particles.
6. The Klein-Gordon equation was actually first found by Schr--dinger, before he made the discovery of the equation that now bears his name.

### Henderson-Hasselbalch EquationUpDw('HENDERSON-HASSELBALCH_EQUATION','-Abz-');

1. The Henderson-Hasselbalch equation is a convenient.
2. The Henderson-Hasselbalch equation is a form of the acid-dissociation equilibrium expression.
3. The Henderson-Hasselbalch equation is a rearrangement of equation 4.3: (Eq.
4. The Henderson-Hasselbalch equation is used for the calculation of the pH or composition of a buffer solution.

### Ionic EquationUpDw('IONIC_EQUATION','-Abz-');

1. An ionic equation is a balanced chemical equation in which strong electrolytes are written as dissociated ions.
2. An ionic equation is a chemical equation in which electrolytes are written as dissociated ions.

### Quartic EquationsUpDw('QUARTIC_EQUATIONS','-Abz-');

1. Quartic equations are polynomial equations with one unknown variable (usually denoted by x), which is never raised to a power greater than 4.
2. Quartic equations are solved in several steps.

### Fluid DynamicsUpDw('FLUID_DYNAMICS','-Abz-');

1. Fluid dynamics is the sub-discipline of fluid mechanics dealing with fluid flow: fluids ( liquids and gases) in motion.
2. Fluid dynamics is the sub-discipline of fluid mechanics dealing with fluids ( liquids and gases) in motion.
3. Fluid dynamics is the subdiscipline of fluid mechanics that studies fluid s ( liquid s and gas es) in motion.
4. Fluid dynamics is the subdiscipline of fluid mechanics that studies fluids (liquids and gases) in motion.
5. Fluid dynamics is the subdiscipline of fluid mechanics that studies fluids in motion.

### Equation of StateUpDw('EQUATION_OF_STATE','-Abz-');

1. An equation of state is a formula describing the interconnection between various macroscopically measurable properties of a system.
2. Equation of state is an equation relating the pressure, volume, and temperature of a substance or system.
3. The equation of state was originally developed for ideal gases, and proved central to the development of early molecular and atomic physics.
4. The equation of state was widely tested by fitting experimental vapor–liquid equilibrium data.

### Activation EnergyUpDw('ACTIVATION_ENERGY','-Abz-');

1. The activation energy is the amount of energy required to ensure that a reaction happens.
2. This minimum energy is called the "activation energy" E a for the reaction.

### AlgebraUpDw('ALGEBRA','-Abz-');

1. Algebra - One on One Algebra One on One is an educational game for those wanting a fun way to learn and practice Algebra.
2. Algebra - One on One is an educational game for those wanting a fun way to learn and practice algebra.
3. Algebra is a branch of mathematics concerning the study of structure, relation and quantity.

### Bellman EquationUpDw('BELLMAN_EQUATION','-Abz-');

1. Bellman equation: Any value or flow value equation.

### Black-ScholesUpDw('BLACK-SCHOLES','-Abz-');

1. Black-Scholes is a zeroth order approximation with (perhaps) a series of first- and second- and higher-order corrections.
2. Black-Scholes is an engineering construction that would work if stocks really did evolve under GBM. They don't.
3. The Black-Scholes is a model of the varying price over time offinancial instruments (in particular stocks).

### CalculusUpDw('CALCULUS','-Abz-');

1. Calculus is a branch of mathematics, developed from algebra and geometry.
2. Calculus is a central branch of mathematics, developed from algebra and geometry.
3. Calculus is a mathematical tool for dealing with this complex but natural and familiar situation.
4. Calculus is also used to gain a more precise understanding of the nature of space, time, and motion.
5. Calculus is probably a student's first encounter with analysis.

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