Experiment with newline

S21_sorter_state.ipynb

@@ -604,17 +604,19 @@
     "each of which is assigned a probability value.\n",
     "For a random variable $X$, the CDF for $X$ is denoted by $F_X$, and is defined as\n",
     "\n",
-    "$$F_X(\\alpha) = P(X \\leq \\alpha)$$\n",
-    "\n",
+    "$$\n",
+    "F_X(\\alpha) = P(X \\leq \\alpha)\n",
+    "$$\n",
     "It follows immediately that $0 \\leq F_X(\\alpha) \\leq 1$,\n",
     "since $F_X(\\alpha)$ is itself a probability.\n",
     "In the case of discrete random variables,\n",
     "say $X \\in \\{ x_0, \\dots x_{n-1}\\}$, we can compute the CDF\n",
     "$F_X(\\alpha)$ by summing the probabilities assigned\n",
     "to all $x_i \\leq \\alpha$\n",
     "\n",
-    "$$F_X(\\alpha) = \\sum_{x_i \\leq \\alpha} P(x_i) = \\sum_{i=0}^{k-1} P(x_i)$$\n",
-    "\n",
+    "$$\n",
+    "F_X(\\alpha) = \\sum_{x_i \\leq \\alpha} P(x_i) = \\sum_{i=0}^{k-1} P(x_i)\n",
+    "$$\n",
     "in which the rightmost summation follows if we choose $k$ such that $x_{k-1} \\leq \\alpha < x_k$.\n",
     "The terminology *Cumulative Distribution Function* is due to the fact that $F_X(\\alpha)$\n",
     "is the accumulated probability assigned to all outcomes less than or equal to $\\alpha$,\n",