exponential law


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exponential law

[‚ek·spə′nen·chəl ′lȯ]
(mathematics)
(physics)
The principle that growth or decay of some physical quantity is at a rate such that its value at a certain time or place is the initial value times e raised to a power equal to a constant times some convenient coordinate, such as the elapsed time or the distance traveled by a wave; there is growth if the constant is positive, decay if it is negative.
References in periodicals archive ?
Figures 4(a) and 4(b) present the standard deviation and mean of solution U, where the random variables [[xi].sub.i] follow a truncated exponential law in [0,10] with 20% standard deviation ([[alpha].sub.0] = [[alpha].sub.1] = [[alpha].sub.2] = 20%).
Exponential law as a more compatible model to describe orbits of planetary systems.
Based on the exponential law of [mathematical expression not reproducible] and Wiener-Hopf factorisation, the Laplace transform of f(t, x) can be expressed as
In addition it's a general law that includes the exponential law with a single parameter [lambda].
It is inevitable to generate the apparent modeling errors by using GM(1, 1) model, so the grey NGM(1, 1, k) model appropriate for the approximate nonhomogeneous exponential law with stochastic fluctuation was put forward [17].
Mindu and Mason [4] showed that the magma equation also admits Lie point symmetries other than translations in time and space if the permeability is in the form of an exponential law:
The results in table(1) which pertains to b=1 (belongs to exponential law and represents constant failure rate [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (t)) agrees with the results already discussed as a particular case of the modal with exponential law.
the data transmission is considered to the exponential law [[mu].sub.0], [[mu].sub.1], [[mu].sub.2] parameters are the parameters of an exponential laws
9 showing similarities existing between the processes described above and the exponential law.
Specific topics include the methodological principles of chemical kinetics, the method of routes and kinetic models, problems of stationary kinetics of polymerization up to the high conversion rate, non-stationary (post-polymerization) kinetics and kinetic problems, stationary kinetics of three-dimensional polymerization up to the high conversion rate, the kinetic model and the stretched exponential law, and the statistics of self-avoiding random walks and the stretched exponential law.