Originally posted by Jorge
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Okay, I'm back from work.
While I was driving I realized that we may have had a "communication failure" (if we did I'll take responsibility for it).
Let me explain briefly with an analogy: If I write a message containing 1,200 alphanumeric characters and I "displace/substitute" one of those characters then the message will very likely remain readable and comprehensible - i.e., function is retained. And that can be done for just about any of the characters. Some characters, however, would not tolerate any change. End of example.
With that analogy, do you see what the miscommunication may have been? I was thinking of simultaneous (1050 out of 1100) changes whereas you were thinking/saying individual (1050 out of 1100) changes.
I will be happy to take the blame for that miscommunication if that was indeed what happened. If, however, you actually meant that 1050 out of 1100 simultaneous changes could occur without loss of function, then the game is still on.
I doubt that that's the case so, since I've taken the responsibility for the miscommunication, I'm calling this a "draw".
But that's not the end of it. I also did other thinking on this (I drove for over an hour):
(1) Allowing for even a (relatively) few simultaneous variations that retain function, the size of the set of possible sequences is still astronomical. Combine that with...
(2) ... the ratio of the sequences that produce the required structure (2ndary, tertiary) versus the total set of possible sequences is still infinitesimal.
Yes, the numbers are "less" (probabilities are "higher"). So go ahead, feel free to subtract 300, 400 or 600 orders of magnitude due to allowable variations that retain function (I'm being generous). That will still leave hundreds of orders of magnitude in the set of possibilities. In other words, the challenge that I posed in the OP remains intact.
Thanks.
Jorge
While I was driving I realized that we may have had a "communication failure" (if we did I'll take responsibility for it).
Let me explain briefly with an analogy: If I write a message containing 1,200 alphanumeric characters and I "displace/substitute" one of those characters then the message will very likely remain readable and comprehensible - i.e., function is retained. And that can be done for just about any of the characters. Some characters, however, would not tolerate any change. End of example.
With that analogy, do you see what the miscommunication may have been? I was thinking of simultaneous (1050 out of 1100) changes whereas you were thinking/saying individual (1050 out of 1100) changes.
I will be happy to take the blame for that miscommunication if that was indeed what happened. If, however, you actually meant that 1050 out of 1100 simultaneous changes could occur without loss of function, then the game is still on.
I doubt that that's the case so, since I've taken the responsibility for the miscommunication, I'm calling this a "draw".
But that's not the end of it. I also did other thinking on this (I drove for over an hour):
(1) Allowing for even a (relatively) few simultaneous variations that retain function, the size of the set of possible sequences is still astronomical. Combine that with...
(2) ... the ratio of the sequences that produce the required structure (2ndary, tertiary) versus the total set of possible sequences is still infinitesimal.
Yes, the numbers are "less" (probabilities are "higher"). So go ahead, feel free to subtract 300, 400 or 600 orders of magnitude due to allowable variations that retain function (I'm being generous). That will still leave hundreds of orders of magnitude in the set of possibilities. In other words, the challenge that I posed in the OP remains intact.
Thanks.
Jorge
And you have the temerity to claim the Clintons are dishonest!
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