sentence1: for each math-w-4-7-1-3 , we have a parameter math-w-4-7-1-11 , which is the probability of math-w-4-7-1-19 .
sentence2: finally , we can write math-w-15-1-1-133 , where math-w-15-1-1-162 is a r 1×r vector that can again be computed offline .