Skip to content

Commit

Permalink
Update multivariable-calculus.md
Browse files Browse the repository at this point in the history
fix an typo:
(22.4.2) should not have \epsilon_N
  • Loading branch information
hymalaya authored Sep 5, 2024
1 parent 23d7a5a commit a1b99fb
Showing 1 changed file with 1 addition and 1 deletion.
Original file line number Diff line number Diff line change
Expand Up @@ -15,7 +15,7 @@ Now, let's take this and change $w_2$ a little bit to $w_2 + \epsilon_2$:

$$
\begin{aligned}
L(w_1+\epsilon_1, w_2+\epsilon_2, \ldots, w_N) & \approx L(w_1, w_2+\epsilon_2, \ldots, w_N) + \epsilon_1 \frac{\partial}{\partial w_1} L(w_1, w_2+\epsilon_2, \ldots, w_N+\epsilon_N) \\
L(w_1+\epsilon_1, w_2+\epsilon_2, \ldots, w_N) & \approx L(w_1, w_2+\epsilon_2, \ldots, w_N) + \epsilon_1 \frac{\partial}{\partial w_1} L(w_1, w_2+\epsilon_2, \ldots, w_N) \\
& \approx L(w_1, w_2, \ldots, w_N) \\
& \quad + \epsilon_2\frac{\partial}{\partial w_2} L(w_1, w_2, \ldots, w_N) \\
& \quad + \epsilon_1 \frac{\partial}{\partial w_1} L(w_1, w_2, \ldots, w_N) \\
Expand Down

0 comments on commit a1b99fb

Please sign in to comment.