His paintings are a sequence of recurrences already preceded by many and to be followed by many, like the eternal paths encountered by Friedrich Nietzsche's famed Zarathustra on the mountainside, embodying the philosopher's discussion of eternal recurrence: the universe and all in it have already occurred and will recur ad infinitum, "the most burdensome thought".
Sequences were interrogated with respect to alignment, frequency of sequence recurrence and the presence of any Alu sequences.
In the Solomon randomized controlled trial (NTR1245), the Solomon technique was associated with a significant reduction in twin-anemia polycythemia sequence and recurrence of twin-twin transfusion syndrome when compared with the standard laser surgery technique.
Hence, we can ensure that the recurrence sequence of the parameter vector ({mathbf{p} _{K}}_{Kgeq1}) obtained as solution of (4) is bounded if (B_{K}) is also bounded.
The fact that endothelial cells undergoing apoptosis release interleukin -1 β (IL-1 β) that via a paracrine loop in turn stimulates the expression of adhesion molecules on the endothelial cells (Hebert et al, 1998a; Chandra et al, 2003b) suggests that the following sequence of events for the recurrence of tumour cells at distant sites occur.
Taken as a whole, our results suggest that several determinants of crop diversity, such as the shortening of crop sequences or the recurrence of epidemics of some pathogens, could differentially affect varietal choices of farmers and thus the spatial structuration of the temporal changes of crop diversity.
The range of averaged sequence recurrence interval is from 0.83 to 3.84 years and the coefficient of variations, ratio of standard deviation to averaged interval, is 0.47 in average and less than 0.5 for about 60 percents of sequences for 2010.
To investigate the solution of the parameterized boundary value problem (6) let us introduce the sequence of functions defined by the recurrence relation x m + 1 ( t, z, λ ) : = z + ∫ 0 t f ( s, x m ( s, z, λ ) ) d s - t T ∫ 0 T f ( s, x m ( s, z, λ ) ) d s + t T [ C - 1 d - ( C - 1 A + I 2 ) z ], (14).
Given an arbitrary vector ξ, consider the sequence of functions defined by the recurrence relation u m ( t, ξ ) : = ξ + ∫ 0 t f ( s, u m − 1 ( s, ξ ) ) d s − t p ∫ 0 p f ( s, u m − 1 ( s, ξ ) ) d s, t ∈ [ 0, p ], (4).
Since x = 0 is an ordinary point of (1), we remark that p 0 ≠ 0. Theorem 3.2 Let { c m } be a sequence of complex numbers satisfying the recurrence relation (3) for all m ∈ N 0, where (b) is referred for the value of a m, and let ρ 2 be the radius of convergence of the power series ∑ m = 0 ∞ c m x m.
