Results 291 to 300 of about 500,559 (337)

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
openaire   +1 more source

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, P R, Vittal, A, Vijayakumar   +2 more
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On the exponential decay for boundary layer problems

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1999
Summary: In connection with boundary layer problems, the possible decay of the solution to a Dirichlet problem on the half-space with almost-periodic boundary data is studied.
Amar, M, Tarallo, M, TERRACINI, SUSANNA
openaire   +4 more sources

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
openaire   +1 more source

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.
openaire   +1 more source

Exponential Decay of Semigroups in Hilbert Space

Semigroup Forum, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Exponential Decay

Interface, 1976
S. Tempelaars, J. Scherpenisse
openaire   +1 more source

Fourier-Laplace transforms decaying exponentially

Mathematical Proceedings of the Cambridge Philosophical Society, 1988
Let ƒ(x) be a C-valued function which is integrable with respect to a positive measure m on the Borel σ-field of R = (– ∞, ∞). We shall give necessary and sufficient conditions under which the following Fourier-Laplace transform f(λ) of ƒ(x) decays exponentially as λ → ∞:where θ is a constant with –π/2 ≤ θ ≤ π/2.
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Photoionization by an exponentially decaying pulse

Physical Review A, 1987
, Raczynski, , Zaremba
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