All trains decelerate as a result of emergency braking shown by the decreasing speed curves, and their corresponding stop locations indicate that the trains maintain safe distance.
The corresponding stopping criterion is determined when the value of the Normalized Residual (NRes) NRes = ∥ P ˜ ( X ˜ ) − S ˜ ( X ˜ ) Q ˜ ( X ˜ ) − 1 S ˜ ( X ˜ ) ⊤ ∥ ∥ P ˜ ( X ˜ ) ∥ + ∥ S ˜ ( X ˜ ) ∥ ∥ Q ˜ ( X ˜ ) − 1 ∥ ∥ S ˜ ( X ˜ ) ⊤ ∥. is less than or equal to a prescribed tolerance.
Theorem 2.2 Let F − 1 ∈ △ 2. Then f = ( f n ) ∈ Q F, ∞ if and only if there exist a sequence ( a k ) k ∈ Z of w-2-atoms and the corresponding stopping times ( τ k ) k ∈ Z such that (1) f n = ∑ k ∈ Z E n a k ; (2) S ( a k ) ≤ A ⋅ 2 k, ∀ k ∈ Z for some constant A > 0, and sup k ∈ Z 2 k F ˜ − 1 ( P ( τ k < ∞ ) ) < ∞. .
Theorem 2.3 Let F − 1 ∈ △ 2. Then f = ( f n ) ∈ D F, ∞ if and only if there exist a sequence ( a k ) k ∈ Z of w-3-atoms and the corresponding stopping times ( τ k ) k ∈ Z such that (1) f n = ∑ k ∈ Z E n a k ; (2) M ( a k ) ≤ A ⋅ 2 k, ∀ k ∈ Z for some constant A > 0, and sup k ∈ Z 2 k F ˜ − 1 ( P ( τ k < ∞ ) ) < ∞. .
Theorem 2.1 Let F − 1 ∈ △ 2. Then f = ( f n ) ∈ H F, ∞ σ if and only if there exist a sequence ( a k ) k ∈ Z of w-1-atoms and the corresponding stopping times ( τ k ) k ∈ Z such that (1) f n = ∑ k ∈ Z E n a k ; (2) σ ( a k ) ≤ A ⋅ 2 k, ∀ k ∈ Z for some constant A > 0, and sup k ∈ Z 2 k F ˜ − 1 ( P ( τ k < ∞ ) ) < ∞. .
The corresponding stop codons used by M. vitrata mitochondrial genes were predicted to be TAA in all instances except for coxII and ND1 where T and TAG motifs were observed, respectively (Table 2).
The uAUG of exon 1A produces an uORF of only 2 codons, whereas the uAUG found in exon 2 of both TU-1A and TU-1B generates an uORF of 11 codons, and the corresponding stop codon overlaps with the predicted translation start site of the SHBG ORF (Figure 1B).
As shown in Figure 3, the corresponding stop-to-stop ORF in the genome of R. pomeroyi overlapped the highly conserved annotated gene, SPO3316.
Thus, cDNA encoding the TGN-38 signal with a corresponding stop codon, was cloned into the putative intracellular multiple cloning site of pIN-G (MCS-2) to yield a construct, designated as pIN-TGN.
It is necessary to know the position of breaks in the amino acid sequences corresponding to stop codons in protein-coding genes.
By aligning homologous genes from related organisms with differing genetic codes, it is possible to discern whether changes in gene length are due to simple truncation or extension at the 3' end of genes, indel mutations throughout the length of genes, or differences in genome composition (e.g. a disproportionate loss of shorter genes corresponding to stop codon reassignment).
