Then $A$ equals $B$. [= $A$ is equal to $B$; not: “$A$ is equal $B$”]
The degree of $P$ equals that of $Q$.
Now $J$ is defined to equal $Af$, the function $f$ being as in (3). [= where the function $f$ is ......]
Therefore this condition is equivalent to the correlation equalling $1-B$.
The resulting metric space consists precisely of the Lebesgue integrable functions, provided we identify any two that are equal almost everywhere.
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