But Poisson statisticspredicts that there will be some empty droplets (1,642 empty droplets) and gives a preciserelationship between the average number of copies/droplet and the expected fraction ofempty droplets.

Formula for Calculating Concentration

Imagine you prompted the model with “What is one plus one?” I actually don’t know how it would do on this problem. I’m guessing it would answer “two”, just because the question probably appeared a bunch of times in its training data. Now imagine you prompted it with “What is four thousand and eight plus two thousand and six?” or some other long problem that probably didn’t occur exactly in its training data. I predict it would fail, because this model can’t count past five without making mistakes. But I imagine a very similar program, given a thousand times more training data and computational resources, would succeed. It would notice a pattern in sentences including the word “plus” or otherwise describing sums of numbers, it would figure out that pattern, and it would end up able to do simple math. I don’t think this is too much of a stretch given that GPT-2 learned to count to five and acronymize words and so on.

LoD = LoB + 1.645(SD low concentration sample)

the area of the triangle itself is expressed by something totally different from its visible figure, namely, by half the product of the base multiplied by the altitude

In order to calculate and compare the areas of rectilinear figures, we decompose them into triangles

Number of tree seedlings grown for 10 years

When, however, something is to be done, and we are speaking to those who ought, but are not willing, to do it, then great matters must be spoken of with power, and in a manner calculated to sway the mind.