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Four circular domain features were shown to consistently and clearly identify the onset (initiation) of fault from the peak feature value which is not clearly observable in time domain features.
Lemma 2.4 Suppose equation (2.2) is observable in time T. Then the functional J defined by (2.4) has a unique minimizer ( φ ˆ 0 h, φ ˆ 1 h ) ∈ V 0 h × V 0 h.
Definition 2.3 Equation (2.2) is observable in time T if there exists a positive constant L such that the following inequality holds: L ∥ ( φ 0 h, φ 1 h ) ∥ H 0 1 ( 0, 1 ) × H − 1 ( 0, 1 ) 2 ≤ ∫ 0 T ∫ ω | φ h | 2 d x d t (2.6).
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a It is true, of course, that small, so-called 'micro-evolutionary' effects are observable in times shorter than a human lifespan; however, in most organisms these changes take place too incrementally to be seen in a classroom.
For example, neuron models typically involve observable differences in time scales.
If system (1.1 - 1.2 1.1 - 1.2ly observable is somexactlyτ, it is exactly observable in any time.
After 90 days of aspartame treatment, a significant alteration was observable in the time domain [Mean RR (ms) SDNN (ms) RMSSD (ms) PNN50 ] and the frequency domain [LF, HF, and LF/HF ratio] with significantly impaired frequency and amplitude of the fronto-parietal and occipital EEG waves at p ≤ 0.05.
Such a change should be observable in evolutionary time.
The change in frequency or duration of behavior is observable in real time.
While these results demonstrate sufficient sensitivity and specificity of the algorithm, a number of questions arise: Generally, the effects observed in the visual checkerboard experiment are relatively large and regularly observable in the time-series of single trials with the naked eye.
The mosaicked fractional cover scene approach can be a useful extension of observable area in time-series with the aim of detecting deforestation with CLASlite 3.0 when a user in a tropical region without cloud free season does not have access to more sophisticated approaches that select the greenest pixel per location [16].
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