+Cosine similarity is 1 if in parallel, 0 if perpendicular, -1 if antiparallel.
+
+---
+
+# An infinite number of monkeys
+
+What is the probability that this string of letters is a sample of English?
+
+Given 'th', 'e' is about six times more likely than 'a' or 'i'.
+
+## Naive Bayes, or the bag of letters
+
+Ignore letter order, just treat each letter individually.
+
+Probability of a text is `\( \prod_i p_i \)`
+
+(Implmentation issue: this can often underflow, so get in the habit of rephrasing it as `\( \sum_i \log p_i \)`)
+
+---
+
+# Which is best?
+
+ | Euclidean | Normalised
+---|-----------|------------
+L1 | x | x
+L2 | x | x
+L3 | x | x
+Cosine | x | x
+
+And the probability measure!
+
+* Nine different ways of measuring fitness.