The sixth decimal digit of pi after the decimal point is 2.
The value of the millionths place in the decimal expression of pi when rounded to the millionths place is 3.
The reason I know pi out to the sixth decimal digit past the decimal point is because the digits to the fifth fit into an easy rhyme, but the fifth decimal digit after the decimal point is a 9. If it were to round up there would be a little cascade, so it's good to know the next digit.
cosine tangent secant sign
three point one for one five nine
If Harry knew to round up the millionths place in the decimal expression of pi when rounded to the millionths place, he would know pi out to the ten millionths place, or the seventh decimal digit following the decimal point.
Rounding errors at the millionths place are errors of less than one part in a million.
The original text remains correct.
If Harry knew to round up the millionths place in the decimal expression of pi when rounded to the millionths place, he would know pi out to the ten millionths place,
One doesn't need to remember what the digit past the rounded one is in order to memorize the rounded figure.
The original text remains correct.
Did I say that the text was incorrect? I'm 99.999% sure I didn't, but looking back . . . no, still looks like I didn't. All I said was that I was annoyed, and what I think Harry should have memorized instead.
The new discussion thread (part 15) is here.
This is a new thread to discuss Eliezer Yudkowsky’s Harry Potter and the Methods of Rationality and anything related to it. This thread is intended for discussing chapter 82. The previous thread passed 1000 comments as of the time of this writing, and so has long passed 500. Comment in the 13th thread until you read chapter 82.
There is now a site dedicated to the story at hpmor.com, which is now the place to go to find the authors notes and all sorts of other goodies. AdeleneDawner has kept an archive of Author’s Notes. (This goes up to the notes for chapter 76, and is now not updating. The authors notes from chapter 77 onwards are on hpmor.com.)
The first 5 discussion threads are on the main page under the harry_potter tag. Threads 6 and on (including this one) are in the discussion section using its separate tag system. Also: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13.
As a reminder, it’s often useful to start your comment by indicating which chapter you are commenting on.
Spoiler Warning: this thread is full of spoilers. With few exceptions, spoilers for MOR and canon are fair game to post, without warning or rot13. More specifically: