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In this context, process-based image processing systems will be the initial segment for future's automatic systems.
For each j, here S I j ∈ Ψ, let I j ′′ be the initial segment of I j such that I j ′′ ∈ M k 1.
end{aligned}Then for any morphism (g:langle [n'],i'_cdot rangle rightarrow langle [n],i_cdot rangle ), let (i(g)_cdot subset i_cdot ) be the initial segment of the diagram (i_cdot ) of length g(0), and with this notation, the transition functor (g^*) of the prefibration (widetilde{F}) is given by (g^* = F(i(g)_cdot )).
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Thus a lawless sequence is ever unfinished, and the only available information about it at any stage in time is the initial segment of the sequence created thus far.
It is at the initial segment of the axon where, if the local potential is of threshold amplitude, the nerve impulse is generated.
Recently, the importance of proteins that are secreted in the initial segment has been confirmed by the fact that when the segment is absent, as for example in a knockout mouse for the c-ros tyrosine kinase receptor, the animals are sterile even though other parts of the male reproductive system are unaffected [ 27].
The early studies involving epididymal duct ligation in the rabbit (6) or high epididymovasostomy in the rat (7) have demonstrated that fertilizing ability is conferred on spermatozoa in the proximal part of the epididymis and that to a large extent, this process appears to be tied to the initial segment (IS).
In mice, the Mfge8 gene has been shown to be expressed strongly in the initial segment of the epididymis [73] and has been implicated in cell-cell interactions during fertilization, since the ortholog in pig is expressed on the apical head of the spermatozoa and binds zona pellucida glycoproteins [74], [75].
Overall, the expression level of MTA1 protein was higher in the initial segment, caput and proximal corpus than in the other segments.
The protein is most abundant in the initial segment, but is detected throughout the epididymis and on ejaculated sperm [ 43].
Mammalian epididymis is a highly specialized male reproductive organ and it can be grossly divided into the initial segment, caput, corpus and cauda on the basis of histological and structural differences [1].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com