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@@ -145,7 +145,7 @@ $$
 \Phi _ { X , \alpha , \Delta } ( \mu ) \leq \frac { \alpha ( \alpha - 1 ) \Delta ^ { 2 } } { 2 \mu } + \operatorname* { m i n } \left( \frac { ( 2 \alpha - 1 ) ( \alpha - 1 ) \Delta ^ { 2 } } { 4 \mu ^ { 2 } } + \frac { 3 ( \alpha - 1 ) | \Delta | } { 2 \mu ^ { 2 } } , \frac { 3 ( \alpha - 1 ) | \Delta | } { 2 \mu } \right) .
 $$
 
-Note that in contrast if we consider the analogous notion of $\Phi$ for the Gaussian mechanism (replacing IX(µ) with the Gaussian density eX2/2µ), we readily get the bound ↵(↵1)22µ , which is the same as our bound up to lower order terms. We now provide the proof of Theorem 3.5.
+Note that in contrast if we consider the analogous notion of $\Phi$ for the Gaussian mechanism (replacing IX(µ) with the Gaussian density eX2/2µ), we readily get the bound ↵(↵1)22µ , which is the same as our bound up to lower order terms. We now provide the proof of Theorem 3.5.
 
 Proof of Theorem 3.5. By RDP definition (2.2), we need to bound the following for any $\Delta , \alpha \geq 1$ ,