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Estimation of time-varying coherence function using time-varying transfer functions
The 26th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2005We introduce a new method to estimate reliable time-varying coherence functions (TVCF). The technique is based on our previously developed method to estimate time-varying transfer functions (TVTF), known as the time-varying optimal parameter search algorithm (TVOPS) [1]. The TVCF is estimated by the multiplication of the two TVTFs.
He, Zhao, Rui, Zou, Ki H, Chon
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TIME-DEPENDENT DENSITY FUNCTIONAL THEORY
Annual Review of Physical Chemistry, 2003▪ Abstract Time-dependent density functional theory (TDDFT) can be viewed as an exact reformulation of time-dependent quantum mechanics, where the fundamental variable is no longer the many-body wave function but the density. This time-dependent density is determined by solving an auxiliary set of noninteracting Schrödinger equations, the Kohn-Sham ...
M A L, Marques, E K U, Gross
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2012
Functional data often arise from measurements obtained by separating an almost continuous time record into natural consecutive intervals, for example days. The functions thus obtained form a functional time series, and the central issue in the analysis of such data is to take into account the temporal dependence of these functional observations. In the
Hörmann, Siegfried, Kokoszka, P.
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Functional data often arise from measurements obtained by separating an almost continuous time record into natural consecutive intervals, for example days. The functions thus obtained form a functional time series, and the central issue in the analysis of such data is to take into account the temporal dependence of these functional observations. In the
Hörmann, Siegfried, Kokoszka, P.
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Seismological Research Letters, 1997
INTRODUCTION Seismologists have always striven to determine earthquake parameters as soon as possible after an earthquake occurs. Now there are several research groups that routinely “broadcast” their rapid determinations of earthquake location, focal mechanism, size, and depth. We report on our efforts to produce and “broadcast” source time functions
Y. Tanioka, L. J. Ruff
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INTRODUCTION Seismologists have always striven to determine earthquake parameters as soon as possible after an earthquake occurs. Now there are several research groups that routinely “broadcast” their rapid determinations of earthquake location, focal mechanism, size, and depth. We report on our efforts to produce and “broadcast” source time functions
Y. Tanioka, L. J. Ruff
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2006
In the previous chapter we have seen how spatial correlation functions express useful structural information about our system. This chapter focuses on time correlation functions that, as will be seen, convey important dynamical information. Time correlation functions will repeatedly appear in our future discussions of reduced descriptions of physical ...
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In the previous chapter we have seen how spatial correlation functions express useful structural information about our system. This chapter focuses on time correlation functions that, as will be seen, convey important dynamical information. Time correlation functions will repeatedly appear in our future discussions of reduced descriptions of physical ...
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International Journal of Geometric Methods in Modern Physics, 2015
In this paper we revisit our joint work with Antonio Siconolfi on time functions. We will give a brief introduction to the subject. We will then show how to construct a Lipschitz time function in a simplified setting. We will end with a new result showing that the Aubry set is not an artifact of our proof of existence of time functions for stably ...
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In this paper we revisit our joint work with Antonio Siconolfi on time functions. We will give a brief introduction to the subject. We will then show how to construct a Lipschitz time function in a simplified setting. We will end with a new result showing that the Aubry set is not an artifact of our proof of existence of time functions for stably ...
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Time functions as utility functions
2011It is shown that the problem of the existence of a time function or of a semi-time function in general relativity is mathematically equivalent to that of the existence of a continuous utility function for an agent in microeconomics. Some theorems developed in economics can therefore be used in general relativity.
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