[to sth; to doing sth]
This is equivalent to requiring $\langle$saying$\rangle$ that ......
Therefore this condition is equivalent to the correlation equalling $1-B$.
The following three statements are equivalent: ......
For this it is sufficient to check that $x$ is in $V$, or, what is equivalent, that $a(x)$ is bounded.
Many equivalents are known for this property.
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