Fix typo in L96 eqn for Y variable

01Intro/L96-two-scale-description.ipynb

@@ -21,7 +21,7 @@
     "&= - X_{k-1} \\left( X_{k-2} - X_{k+1} \\right) - X_k + F - \\left( \\frac{hc}{b} \\right) \\sum_{j=0}^{J-1} Y_{j,k}\n",
     "\\\\\n",
     "\\frac{d}{dt} Y_{j,k}\n",
-    "&= - cbY_{j+1,k} \\left( Y_{j+2,k} - X_{j-1,k} \\right) - c Y_{j,k} + \\frac{hc}{b} X_k\n",
+    "&= - cbY_{j+1,k} \\left( Y_{j+2,k} - Y_{j-1,k} \\right) - c Y_{j,k} + \\frac{hc}{b} X_k\n",
     "\\end{align}\n",
     "(Note that the $F$ term in the top equation is missing in L96 but he provides the parameter and all other authors have it, e.g. [Wilks (2005)](http://rmets.onlinelibrary.wiley.com/doi/abs/10.1256/qj.04.03).)\n",
     "$X_k$ are the \"large scale\" variables with $K$ degrees of freedom ($k=0,1,2,\\ldots,K-1$, using python indexing starting at $k=0$). The $k$ index is periodic so that, for example, $k=K$ is referring to $k=0$ and $k=-1$ is referring to $k=K-1$. The $j$ indices represent a sub-division of each $k$-element, so that $J$ $Y$-variables are coupled to a single $X$ variable. When the double-index $j+1,k$ refers to a value beyond $J$, it is cycled to refer to the first value $1,k+1$. The overall structure is illustrated in Fig. 1.\n",
@@ -425,7 +425,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.7.6"
+   "version": "3.8.8"
   }
  },
  "nbformat": 4,