Figure 3 shows significant increases in the regularity of the LFPs, as measured by AC, as a function of stimulus regularity in HG.
Figure 3B shows the increase in the autocorrelation value (ΔAC) of the LFP at a lag of 1/128 s, because of the transition between noise and RIN, as a function of stimulus regularity (as determined by the number of cycles of the delay-and-add algorithm that was used to construct the stimulus [ 2]).
For example, Durkheim (1999, p. 12) argues that "the differences between date, week, month and year are corresponding to the periodicity of rituals, festivals and public ceremonies," that is, "the calendar conveys the rhythm of collective activities and guarantees the functions of the regularity in these activities".
For each dynamic analysis, a representative static analysis is also considered, and a dynamic amplification factor (DAF) is calculated and discussed as a function of wave height, wave regularity, and structural period.
Interestingly, CD1d knock-out NOD mice show an exacerbation of diabetes [29], whereas upregulation of CD1d expression within the beta cells restores the immune regularity function of NKT cells preventing diabetes [30].
Gentili and Struppa [16] and Alayón-Solarz [17, 18] gave definitions of regularity for functions of a quaternionic variable and developed representations of the Cullen-regularity of quaternion analysis.
Doubly 2π-periodic functions will be identified to be functions defined on ⊤ 2. We use the notations L p ( ⊤ 2 ), C ( ⊤ 2 ), C α ( ⊤ 2 ), D ( ⊤ 2 ) = C ∞ ( ⊤ 2 ), …. to denote the spaces of doubly periodic functions with the indicated degree of regularity.
We use the following notations: L^{p}bigl(mathbb{T}^{2}bigr),qquad Cbigl( mathbb{T}^{2}bigr),qquad C^{alpha}bigl(mathbb{T}^{2} bigr),qquad mathcal{D}bigl(mathbb{T}^{2}bigr)=C^{infty}bigl(mathbb{T}^{2}bigr),qquad ldots to denote the spaces of doubly periodic functions with the indicated degree of regularity.
Given this, it was not possible to explore variations in accuracy as a function of the presence or absence of regularity (as per our first prediction).
Various building structural systems depending on their level of available ductility and redundancy can perform better or worse to disproportionate collapse events; their resistance to the phenomenon is a function of many parameters including their regularity or not.
