sequence patterns. An experimental study is reported in Sect. 6 and we conclude our work in Sect. 7. 2 Preliminary concepts and definitions 2.1 Frequent sequence mining In this section we define the [...] so-called Möbius inverse, that allows us to express the a(C ′) in function of the s(C ′); i.e.: Lemma 7 There exists a function µ(·, ·) that maps a pair of CSPs C ′, C ′′ C to a integer µ(C1, C2), such that [...] : C begin1 k ← 1;2 C ← ∅;3 F1 ← mine_sequence(k);4 C ← F1;5 while Fk not empty do6 foreach s ∈ Fk do7 foreach x <inv pre f i x s with x s do8 generate_C S P(x, s, C);9 k++;10 Fk ← mine_sequence(k);11 return …

Exploring nonlinear dynamics in periodically driven time crystal from synchronization to chaotic mot

0.5 0.6 0.7 0.8 0.9 1 1/2 3/5 2/3 3/4 1/14/5 1/1 1/2 1/3 2/3 1/4 3/4 1/5 2/5 3/5 4/5 f0 / fm 0.61 0.62 0.63 0.64 0 0.1 0.2 0.3 f0 / fm simulation a b c f0 / fm f0 / fm 0 0.5 1 0.5 0.6 0.7 0.8 0.9 1 1/2 [...] many-body system in thermodynamic equili- brium. While this original time crystal phase is prohibited7–9, time crystalline behavior demonstrating spontaneous breaking of the time translation symmetry was [...] The resulting mea- surement series is shown as a color map in Fig. 5a (and in Supple- mentary Fig. 7 in stretched format for more details) and demonstrates a multitude of frequencies in the subharmonic …

Ultrafast unidirectional spin Hall magnetoresistance driven by terahertz light field

fundamental spintronic phenomena, including the inverse spin-Hall effect (ISHE)4, spin- transfer torque5–7 and spin-Seebeck-related effects8–10 remain active and efficient even in the ultrafast regime. Furthermore [...] electron spin-flip time in HMs is less than 30 fs54,55, which is shorter than the THz half-cycle time of 1.7 ps at a frequency of 0.3 THz. Accordingly, one expects a similar USMRcontribution to the total resistance [...] of ultrafast spin transfer torque driving non-uniform spin dynamics. Nat. Commun. 8, 15007 (2017). 7. Ritzmann, U., Baláž, P., Maldonado, P., Carva, K. & Oppeneer, P. M. High-frequency magnon excitation …

fp.dvi

multi- dimensional patterns [13, 11], max-patterns [5], par- tial periodicity [9], emerging patterns [7], and many other important data mining tasks. Most of the previous studies, such as [3, 12, 18, 16, [...] support = ai:support; (6) construct 's conditional pattern base and then 's conditional FP-tree Tree ; (7) if Tree 6= ; (8) then call FP-growth (Tree ; ) g g Analysis. With the properties and lemmas in Sections [...] that the algorithm correctly nds the complete set of frequent itemsets in transaction database DB. 7 As shown in Lemma2.1, FP-tree ofDB contains the complete information of DB in relevance to frequent …

Microsoft Word - Haddad03-07proof.doc

(Figs. 7A and 7B). As a valid control for pro- caspase-9 expression (equal gel loading), the protein 125 levels of β-actin were not significantly different among treatments (data not shown). Fig. 7 Hypo [...] homogenizing turtle brain tissue in a suitable volume of a buffer (1:40; w/v) containing 20 mM HEPES (pH7.5), 1.5 mM MgCl2, 0.2 mM EDTA and 0.1 M NaCl. Before extraction 5 mM dithiothreitol (DTT), 1 mM phe [...] with normoxia, except at 6 weeks of hypoxia, where a sharp decline was observed (*** P < 0.001) (Fig. 7A). Exposure to hypoxia for specified periods of time followed by reoxygenation for 6h partially increased …