equation

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equation

a means of portraying arithmetically the relationship between VARIABLES. For example, the equation: C = 1,000 + 0.9Y suggests a particular relationship between consumer expenditure (C) and disposable income (Y), which would be true for certain values of C and Y (such as 10,000 and 10,000 respectively) but not true of other values of C and Y (such as 6,000 and 10,000 respectively). Equations are generally written with a two-bar equals sign (=), with the value to the left of the sign being equal to the value to the right of the sign. The validity of an equation can be tested statistically by collecting paired observations of the variables involved and testing whether or not these observations conform with the equation formulated. See IDENTITY.
Collins Dictionary of Economics, 4th ed. © C. Pass, B. Lowes, L. Davies 2005
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The grain growth is a thermal activation process, satisfying the well-known Arrhenius equation:
Photocatalytic degradation of 2-chlorophenol using Ag-doped Ti[O.sub.2] nanofibers and a near-UV light-emitting diode system
And activation energy is calculated through the Arrhenius equation:
Kinetic study on the [Cs.sub.X][H.sub.3-X] P[W.sub.12][O.sub.40]/Fe-Si[O.sub.2] nanocatalyst for biodiesel production
Diffusion coefficient, D, the amount of a particular substance that diffuses across a unit area in unit time, often obeys the activated transition state theory and its temperature dependence can be expressed by the Arrhenius equation, (22), (23) equation (1):
Environmental and time dependence of moisture transportation in an epoxy coating and its significance for accelerated weathering
According to Arrhenius equation, the ln A and [E.sub.a] for a given particle diameter can be obtained from the slope and intercept of the line, respectively (see Table 4).
Study on the size-dependent oxidation reaction kinetics of nanosized zinc sulfide
(3), according to Arrhenius equation, the expression of reaction rate constant k is as follows:
Pyrolysis kinetics of oil shale from Northern Songliao basin in China
Here k [[s.sup.-1]] is the reaction rate constant expressed by the Arrhenius equation (2) where A [[s.sup.-1]], E [J x [mol.sup.-1]] and R [J x [mol.sup.-1] x [K.sup.-1]] are pre-exponential factor, activation energy and gas constant.
Study of a semi-batch to batch process conversion
From this Fig, it can be seen that increasing the reaction temperature strongly increases the leaching rate, as expected from the exponential dependence of the rate constant in the Arrhenius equation.
A Comparison of the Leaching Kinetics and Mechanism of Calcined Magnesite with an Organic Leach Reagent
Also, linear curve fitting was performed to calculate pre-exponential factor and activation energy in the Arrhenius equation.
Effects of ultrahigh speed twin screw extrusion on the thermal and mechanical degradation of polystyrene
Calculating the viscosity of the Rapeseed oil at different temperature (170, 180 and 190[degrees]C) for the Arrhenius equation:
Viscosity of rapeseed and argan vegetable oils, and their comparison with the mineral oil
The rule of thumb, based upon the Arrhenius equation, is that a 10[degrees]C temperature rise translates to a twofold increase in reaction rate.
Use of crosslink density measurements to assess heat history in molded rubber parts

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