Footnotes

... expanded ¹

Assuming that $\bgroup\color{blue}$ U(S,V)$\egroup$ has continuous derivatives near the point $\bgroup\color{blue}$ (S,V)$\egroup$ that it is being expanded around.

.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.