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Notice that if is a complex sequence that converges to, then by Proposition 2.13 (i), (2.28).
First, we observe that and for all Also, we notice that if is a complex sequence that converges, then the weighted shift operator is a nontrivial element of Now, we prove the following result.
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Qigong is roughly translated as "energy development," and there are many forms, from very simple arm movements and waist rotations to complex sequences that directly engage the spine, joints, fluids and organs, as well as the body's "chi," or inherent energy.
However, most of the INDELS involved more complex sequences that did not appear to have been formed via interactions between short identical repeats.
Another lesson learned from the data shown in Figure 11 was that SMF treatment set in motion a complex sequence of events that rapidly changed over time; consequently, the original goal of analyzing cellular responses by microarray profiling could have led to erroneous conclusions.
Nearly all are charged with emotion, as the soldiers work to express and control a complex sequence of feelings that run from joy to defiance.
In this model, DM is conceived as a complex sequence of actions that require attending to different parameters conditioned by the temporal and organizational needs.
Studies of motor control suggest that complex movements, once decomposed, consist of common signatures; thus by studying simple movements it is possible to gain insight into the more complex sequences that comprise 'actions' (Yazdani et al., 2012).
In numerous organ pathologies, the activation of circulating leucocytes, and their interaction with the endothelial lining followed by subsequent transendothelial migration and infiltration into tissue represent the first and determining step in a complex sequence of processes that mediate tissue injury [ 18- 20].
Traumatic brain injury (TBI) triggers a complex sequence of inflammatory responses that contribute to secondary injury.
The apoptotic signaling triggered by oxLDL is mediated through a complex sequence of signaling events that lead to activation of caspase-dependent or caspase-independent apoptotic pathways.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com