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@@ -956,9 +956,9 @@ the contributions from the marginal pieces of the calculation, and is given by
\end{equation}
\end{widetext}
The fact that the complexity can be split into two relatively independent
-pieces in this way is a characteristic of the Gaussian nature of the spherical
+pieces in this way is a characteristic of the isotropic and Gaussian nature of the spherical
spin glass. In Section \ref{sec:least.squares} we will study a model whose
-energy is not Gaussian and where such a decomposition is impossible.
+energy is isotropic but not Gaussian and where such a decomposition is impossible.
There are some dramatic simplifications that emerge from the structure of this
particular problem. First, notice that the dependence on the parameters $X$ and $\hat X$ are purely quadratic.