Assertion: sequence's term | /r/HasProperty | within distance
Facets:
value: of s.
type: LOCATION
value: ε of each other
type: OTHER
Source sentences:
text: /2 of s , so any two terms of the sequence are within distance ε of each other.
text: , say) is a Cauchy sequence, since, given any real number > 0, beyond some fixed point, every term of the sequence is within distance /2 of , so any two terms of the sequence are within distance of each other.
text: r > 0, beyond some fixed point in the original sequence, every term of the subsequence is within distance r/2 of s, and any two terms of the original sequence are within distance r/2 of each other, so every term of the original sequence is within distance r of s.
text: r > 0, beyond some fixed point in the original sequence, every term of the subsequence is within distance r/2 of s, and any two terms of the original sequence are within distance r/2 of each other, so every term of the original sequence is within distance r of s.