Sentence examples for behavior of a sequence from inspiring English sources
Let us consider the behavior of a sequence ({(x_{k},z_{k})}) generated by the proposed Algorithm 1.
Because we consider the long term behavior of a sequence investment, this assumption is meaningful for the financial market.
Remark 2.8 The equality (8) shows that the average return of the long term behavior of a sequence investment converges to the average of the expectation return in every period in probability 1 under the conditions in Theorem 2.5.
First, we establish a strong limit theorem for the log-optimal portfolio of any sequence investment, then we obtain the result that the average return of the long term behavior of a sequence investment converges to the average of the expectation return in every period with probability 1 under some conditions.
One major benefit of this feature is the ability to scale and test the pipeline at different acquisition rates and therefore be able to provide performance metrics on the behavior of a sequence of algorithms enabling developers to further improve their execution pipeline.
To establish the existence of solutions to Cauchy problem (5), we will analyze the limiting behavior of a sequence of smooth functions { u ε } ε > 0, where each function u ε satisfies the viscous problem { ∂ t u ε − ∂ t x x 3 u ε + m u ε ∂ x u ε = 3 ∂ x u ε ∂ x x 2 u ε + u ε ∂ x x x 3 u ε + ε ∂ x x 2 u ε − ε ∂ x x x x 4 u ε, ( t, x ) ∈ R + × R, u ε ( 0, x ) = u 0, ε ( x ), x ∈ R, (7).
So far, many criteria for log-behavior of a sequence have been developed; see [3 10] and the references therein for details.
Hence the log-behaviors of a sequence deserves to be investigated.
Male Drosophila courtship behavior consists of a sequence of stereotyped, quantifiable features, including wing vibration ('singing'), foreleg tapping, proboscis extension, and copulation (Spieth, 1974).
In what follows, in Section 2 we first introduce the interlacing method which can be used to verify log-behavior property of a sequence.
We characterize the phase behavior of a periodically sequenced sheet-forming peptide by using Langmuir techniques, Brewster angle microscopy, attenuated total reflection Fourier transform infrared spectroscopy, and circular dichroism spectroscopy.
