Results 221 to 230 of about 106,273 (265)
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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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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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Exponential Decay of Eigenfunctions
1996We 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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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
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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
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Estimation of the Frequency and Decay Factor of a Decaying Exponential in Noise
IEEE Transactions on Signal Processing, 2010In this paper, we examine the estimation of the parameters of a decaying complex exponential in noise. The strategy adopted consists of a computationally simple two stage scheme where an interpolation stage refines the coarse estimate obtained from an initial maximum bin search.
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Spectrum and Exponential Decay
2010In 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 of Semigroups in Hilbert Space
Semigroup Forum, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Photoionization by an exponentially decaying pulse
Physical Review A, 1987, Raczynski, , Zaremba
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