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In modal parameter identification, the damped complex exponential response methods extract modal parameters using free decay responses.
Unlike most books on the subject, Feedback Systems develops transfer functions through the exponential response of a system, and is accessible across a range of disciplines that utilize feedback in physical, biological, information, and economic systems.
Seagrass plus epiphyte respiration rates were influenced mainly by the water temperature, showing a typical exponential response to an increase in temperature.
The poles and zeros have certain characteristics: a pole of the input function generates the form of the forced response; a pole of the transfer function determines the form of the natural response; and a pole on the real axis generates an exponential response of the form e αt, where α is the pole location on the real axis.
In this paper, the data was assumed to come from a Hawkes process with constant background rate and an exponential response to previous events.
Above this concentration, an exponential response is observed up to ~1.0mM 5-AzaC, above which there were no apparent additional lethal effects.
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In this article, we focus on exponential responses.
Therefore for simplicity, binary response thresholds were implemented, rather than sigmoid or exponential response-probability functions [8].
Rabosky also recently presented a new method (BAMM) to estimate the number of possible rate changes along a phylogenetic tree and to fit exponential responses in macroevolutionary rates to time or to species number [ 28].
Instantaneous drops in cognitive load are shown to produce statistically significantly different transient pupillary responses relative to sustained load, and when characterised using an exponential decay response, the task-evoked pupillary response time constant is in the order of 1 5 s.
Figure 7.4: Illustration of the convolution of two rectangular pulses with a truncated exponential impulse response.
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