<t>I have also noticed this issue, caused when chi is in a neighborhood around 1 (leading to division by 0).I realise this is an old thread (6 years), but since there's still no posted solution anywhere, I'm wondering if anyone has a solution that they can recommend now. One option might be to switc...

<t>QuoteOriginally posted by: crmorcomIf you are using Kirk simply as a way to quote prices (like we use implied vols for vanilla options), then that's fine - in fact it's the market standard.I am in the process of trying to do precisely this for the crude markets, which led me to find this thread (...

<t>Thank you for your clarification -- right on target to where I was misunderstanding things.The MathWorld site does qualify their "definition" by stating as an afterthought: "More generally, the word subsequence is sometimes used to mean a sequence derived from a sequence S by discarding some of i...

<t>You fail to address my point. I am fully aware of the definition of monotonic.Am I missing something here? I don't think so.The Wikipedia suggests that for the Erdos-Szekeres Theorem you are considering "any sequence of distinct real numbers".If you take any sequence of the form such that , then ...

The Mathworld link fails to mention the requirement that the numbers must be distinct.There's an obvious counterexample that only contains length 2 monotonic subsequences (when the numbers are not necessarily distinct): 12121212...Cheers, -- The Wren

<t>This problem is a variant of another that I heard years ago involving reversi chips:"You are held captive and placed in a room that is pitch dark. You're told that there are 57 reversi chips (one side is white, the other side is black) on the table in front of you. You are told that 10 chips are ...

Darn... Just missed getting it posted first.

ABCDE=21978Cheers, -- The Wren

I believe your mistake may be in the calculation of which then becomesCheers, -- The Wrenp.s. In my quick attempt to calculate, I was missing the \dot{\alpha}(t) term.

Forgive my brainfart. I meant to write: Cheers, The Wren

Another, perhaps less visual approach is to note that neither arrangement fills a right triangle:but.The extra space comes from the difference in concavity and convexity of the so-called hypoteneuse in each configuration.Cheers, The Wren