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Exponential Growth and Decay

2007
The exponential function is one of the most important and widely occurring functions in physics and biology. We start with a gentle introduction to exponential growth and decay and show how to analyze exponential data using semilog and log-log plots. More advanced topics include variable rates, clearance, and multiple decay paths.
Russell K. Hobbie, Bradley J. Roth
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Neuronal Spike Trains With Exponential Decay

Neurological Research, 1981
Stochastic models for the spike discharge activity of neurons are analyzed. Model I treats only excitatory impulses occurring as Poisson events with exponential density of the jump magnitude, and, in the absence of these events, the subthreshold potential decays exponentially.
R, Vasudevan   +2 more
openaire   +2 more sources

Quantum Post-Exponential Decay

2009
Exponential decay is a very general phenomenon in the natural sciences.
Joan Martorell   +2 more
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Exponential Decay of Eigenfunctions

1996
We take a pause from our development of the theory of linear operators to present a first application to Schrodinger operators. Let us recall from the Introduction that a Schrodinger operator is a linear operator on the Hilbert space L 2 (ℝn) of the form H = -△ + V, where and the potential V is a real-valued function.
P. D. Hislop, I. M. Sigal
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Exponential Growth and Decay

1987
The values of A and k for the exponential $$x = A{e^{ - kt}}$$ (24.1) are determined from the n data points (t i , X i ) by plotting the natural logarithm of X i against t i . The resulting plot is linear with slope — k and intercept ln A. Linear regression (Procedure 3) is used on the pairs (t i , ln x i ).
Ronald J. Tallarida, Rodney B. Murray
openaire   +1 more source

Spectrum and Exponential Decay

2010
In this chapter we begin to study the solutions of the electronic Schrodinger equation and compile and prove some basic, for the most part well-known, facts about its solutions in suitable form. Parts of this chapter are strongly influenced by Agmon’s monograph [3] on the exponential decay of the solutions of second-order elliptic equations.
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Exponential Decay

Interface, 1976
S. Tempelaars, J. Scherpenisse
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Depolarization’s Dynamic: Exponential and q-Exponential Decay

2021 SBMO/IEEE MTT-S International Microwave and Optoelectronics Conference (IMOC), 2021
Francisco Jackson Lopes de Almeida   +2 more
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Exponential Growth and Decay

2023
David G Costa, Paul J Schulte
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