Quote from: smooth on January 19, 2016, 01:10:51 PM

Quote from: TooDumbForBitcoin on January 19, 2016, 12:42:43 PM

Quote from: dooglus on January 18, 2016, 06:40:22 PM

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.

If t denotes the time a random CLAM block is generated, then

A) the average amount of time from that point t to the next CLAM block is 1 minute
B) the average amount of time from that point t to the previous CLAM block is also 1 minute
C) the average time between CLAM blocks is also 1 minute

Does this make Dooglus's "random point in time" equivalent to "the time a random CLAM block is generated"?

I don't understand what you are asking? Are you saying that a block is generated at the exact instant you pick? That is not the case in general.

I'm saying that t denotes the time block xyz was generated as recorded by the blockchain.

I repeatedly shout out different random historical block numbers, and write down the time t that the blockchain says each was generated.

A) The average of "time from t to the next block" is one minute
B) The average of "time from t to the previous block" is one minute
C) The average time between CLAM blocks is also 1 minute

Dooglus is picking random points in time t. I am picking random block numbers.

The set of three conditions A, B, and C, are equivalent for Dooglus's pick and my pick.

Does this equivalence make Dooglus's "random point in time" equivalent to "the time a random CLAM block is generated"?

It sounds like no, because my set of times contains x members, where x is the CLAM block height. Dooglus's set of times has an unbounded quantity of members.