exponential decay

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  • noun

Synonyms for exponential decay

a decrease that follows an exponential function

References in periodicals archive ?
For laboratories that need to universally transfect or transform all cell types of organisms, instruments that offer both square and exponential decay waveforms such as the BTX Gemini Twin Wave Electroporator offer both square and exponential decay modes for universal electroporation of any sample.
Given the mass flow rate of air and assuming dry air density of 0.0807 lbs/cf, suggests that this unit might run for up to 140 minutes before saturation, although previous studies have shown an exponential decay in rates of adsorption that occurs as the system approaches saturation, and which therefore might extend the period significantly.
(a) The degree distribution shows an exponential decay when radius is small and a flat distribution when radius gets larger.
By the compact-decay decomposition, we know that {[S.sub.1](s, s - [[??].sub.n])[y.sub.n]} is precompact and {[S.sub.2](s, s - [[??].sub.n])[y.sub.n]} is exponential decay. Then, passing to subsequences, there is an z[member of]X such that
(1) Exponential decay: for [p.sub.h](x, y) = 2, we show, for some c > 0, that
Quantum mechanics allows also a unified treatment of the spontaneous decay which can be applied to all unstable states and exhibits new phenomena ("new" as compared to the classical "exponential decay") at short and large times.
Second, it is suggested that variations of transmittance are subjected to exponential decay, which is well explained by the principle of the Christiansen effect.
A modified one-compartment exponential decay model with adjustment for background exposures adequately describes the relationship between PFOA intake and serum concentrations in adults (Olsen et al.
No significant deviations from exponential decay are observed in Cassini spacecraft power production due to the decay of [sup.238]Pu [11].
In [6], Cable and Raffoul obtained by using Liapunov functionals sufficient conditions that guarantee exponential decay of solutions to zero of the multi delays differential equations x'(t) = a(t)x(t) - [[summation].sup.n.sub.i=1] [b.sub.i](t)x(t - [h.sub.i]) where a, b are continuous with 0 < [h.sub.i] [less than or equal to] [h.sup.*] for i = 1,2, ..., n for some positive constant [h.sup.*].
Here [P.sub.s] is the maximal value of reversible polarization in C/[m.sup.2], [P.sub.irr] is the irreversible component polarization, r is the time constant in s, characterizing the exponential decay of polarization, and f is the frequency in Hz.
Later, Munoz Rivera [4] showed the existence of global solutions for small initial value and the exponential decay of the total energy.
(2) We want to point out that, considering solutions with initial functions into the region [OMEGA]([lambda]), we will ensure reasonable dynamics, for example, exponential decay rates.
The stable and the unstable subspaces of the phase state are described in terms of the boundedness of the corresponding projector along the evolution cocycle, forward and backward, and in terms of the exponential decay of the skew-evolution cocycle.
Although the proof is rather long, it is necessary to consider this level of details, since with slow exponential decay the solution of the system may fail to exist, as shown by the following counterexample.