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Notice that the time regularity (22) requires a shift of canonical process.
KC, Regmi, Tao, and Wu [33, 34] studied the global (in time) regularity problem concerning the two-dimensional incompressible Boussinesq equations.
Now, we give the time regularity of solution (3.2) and sharp upper and lower bounds for the (L^{2} -norm of increments.
The following lemma is devoted to improving the time regularity of u and B. Lemma 3.4 For every 0 < T < T ∗, we have sup 0 ≤ t ≤ T ( ∥ ρ u t ∥ L 2 2 + ∥ B t ∥ L 2 2 ) + ∫ 0 T ( ∥ ∇ u t ∥ L 2 2 + ∥ ∇ B t ∥ L 2 2 ) d t ≤ C. (30).
Now, let us investigate the time regularity of the solution u (t, x ).
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On-time regularity was best on the M, with 91percentt, and worst on the 1/9, with 64percentt.
Pincus ([1991]) introduced approximate entropy as a measure of time series regularity or predictability.
Daubechies wavelet filter families have been systematized to include those constraint-selected by the principle of separably disjoint roots, and those search-optimized for time-domain regularity, frequency-domain selectivity, time-frequency uncertainty, and phase nonlinearity.
According to the test results for 16 working conditions, the distribution rule and time-varying regularity of the daily temperature field are summarized initially.
By means of stochastic models such as a Hierarchical Hidden Markov Model and a Markov random field, ARPEnTAge performs an unsupervised clustering of a territory in order to reveal patches characterized by time space regularities in the land-use successions.
A further advantage was civil discipline; the European forces were directed by men themselves under discipline, who were without hereditary connections or ties to the local population (though to modern eyes European company men often seemed refractory or disloyal, by standards of India at that time they were regularity itself).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com