Here's a fun thing:
Pick a random point in time, then:
A) the average amount of time from that point to the next CLAM block is 1 minute
B) the average amount of time from that point to the previous CLAM block is also 1 minute
C) the average time between CLAM blocks is also 1 minute
Wouldn't you expect A + B = C? Yet A, B, and C are all 1 minute.
I don't believe that's a valid equation for the problem.
Why on earth not? If the last block was B seconds ago and the next block is in A seconds, then how far apart are the two blocks?
Isn't it A+B?
The above is the kind of math politicians use...
If X is the time of the block picked.
A is the time of the next block
B is the time of the previous block
C is the average block time.
Then
(1+( ( ((X+A) + (X-B)) /2) - X)) = C
should give you C as the average block time.
What is "average block time"? Suppose blocks were found every minute, at the top of the minute, and my random point is 30 seconds past the minute. It's 30 seconds since the last block and 30 seconds to the next block. The time between blocks is 30+30. ie. A+B=C
I did mean for A to be the expected time to the next block (ie. 1 minute), not the time of the next block (ie. Tuesday at 12:34 or whatever).
A, B, and C are all 60 seconds.
A) From a random point in time we all agree that the expected time to the next block is 60 seconds. I don't think anyone's going to argue with that (except that we find blocks a little too fast, so it's actually 59 seconds or something, but let's ignore that.
B) I don't think anyone can really make a reasonable argument that the same isn't true about the expected time to the previous block. Just record the block creation process happening and play it backwards. It's indistinguishable from playing it forwards. Like smooth's sliding paper revealing the blocks. You can slide in either direction and the expect time to the 'next' block (which is the 'previous' one when sliding backwards) is 60 seconds.
C) Can anyone argue that the expected time between blocks is not 60 seconds?
I put it to you that A, B, and C are ALL equal to 60 seconds, and that this isn't a contradition.
There is a rational explanation for this. I just like to make people figure it out for themselves
-- dooglus the deceiver