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Exact(28)
In a strong horizontal shaking of the ground near the fault source, there is an initial segment of motion made up mainly of P waves, which frequently manifest themselves strongly in the vertical motion.
If is an initial segment of and exists, then.
Thus the set is an initial segment of.
(c) Assume that is an initial segment of, and that exists.
We can describe this by defining a function from those objects to an initial segment of the natural numbers.
If μ is sufficiently long then there is an initial segment σ of μ such that C < |σ| − k.
Similar(32)
"The lack of aftereffect" is supposed to capture the idea that given any initial segment of a sequence, one cannot predict the probability of the next event any better than predicting it based on the limiting relative frequency of events in the infinite sequence.
With a 40× objective the plane of focus usually included the soma, axon initial segment, a large region of axon with the major branch point, and a field of synaptic boutons.
Occasionally, an axon initial segment was clearly visible and also responded with a transient signal upon stimulation (Figure 4A, dotted purple trace).
By the very nature of the notion of lawless sequence, the choice of the number $n$ for which $A(\alpha,n)$ holds has to be made after only a finite initial segment of $\alpha$ is known.
Thus ON would be similar (order-isomorphic) to a proper initial segment of itself, the one determined by Ω, contradicting a well-known theorem about well-ordered sets.
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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