diff --git a/06_Multivariate_Kalman_Filters.ipynb b/06_Multivariate_Kalman_Filters.ipynb index f611e40..5b67851 100644 --- a/06_Multivariate_Kalman_Filters.ipynb +++ b/06_Multivariate_Kalman_Filters.ipynb @@ -8692,7 +8692,7 @@ "\n", "Now suppose that each value has a different probability of happening. Say 1 has an 80% chance of occurring, 3 has an 15% chance, and 5 has only a 5% chance. In this case we compute the expected value by multiplying each value of $x$ by the percent chance of it occurring, and summing the result. So for this case we could compute\n", "\n", - "$$E[x] = 1\\times 0.8 + 3\\times 0.15 + 5 \\times 0.05 = 1.5$$\n", + "$$E[x] = (1)(0.8) + (3)(0.15) + (5)(0.05) = 1.5$$\n", "\n", "Here I have introduced the standard notation $E[x]$ for the expected value of $x$.\n", "\n", @@ -8750,8 +8750,8 @@ "\n", "$$\n", "\\begin{aligned}\n", - "COV(a,b) &= \\frac{1}{2}[(1-2)^2 + (3-2)^2] \\\\\n", - "&= \\frac{1}{2}[(1+1] \\\\\n", + "VAR(a) &= \\frac{1}{2}[(1-2)^2 + (3-2)^2] \\\\\n", + "&= \\frac{1}{2}[1+1] \\\\\n", "&= 1\\end{aligned}$$\n", "\n", "\n",