[Fictionary] CAXON ballot (due 2/14) -- Eric wins!

[Jean-Joseph Cote]

I'll contact you off list with the address of my high-powered 
mathematician friend, who dabbles in all branches thereof.

Jean-Joseph

On 2/24/2023 8:48 PM, Pierre Abbat wrote:
> On Friday, February 24, 2023 5:48:18 PM EST eLLioTT morEton wrote:
>> ________________________________________________________________________
>> caxon, n.  The circular inverse of a rectangular lattice, with a tangle in
>> the  middle, produced by inverting the complex arithmetic-geometric mean.
>> __Pierre
>>
>> 2 points =  2 points for correct guess
>>
>> Jean-Joseph:  The what now?
>>
>> Hutch:  Complete nonsense! I think this is simply a collection of math terms
>> strung together higgledy-piggledy.
> It's not nonsense. Here are graphs of the loop of խ(x+yi) for x=-1/16, -1/64,
> and -1/128. The maximum value, which occurs when y=0, is respectively about
> 50.3, 201, and 402. խ(z) is defined by a functional equation: խ(2z) is the
> arithmetic mean of խ(z) and խ(z+πi), and խ(2z+πi) is their geometric mean. It
> approaches 1 as x→-∞, is continuous on the left half-plane (the square root is
> chosen to make it so), and is real and monotonically increasing on the
> negative real axis. I've been studying this function for over a year and still
> haven't figured out why it looks like the circular inverse of a rectangular
> lattice with a tangle in the middle. Do any of you know a mathematician who'd
> be interested in this function? It also has a barrier beyond which it cannot
> be analytically extended, yet is not defined as a lacunary series.
>
>> ________________________________________________________________________
>> caxon, n.  1.  A kind of wig, now obsolete.  2.  A case or chest of ores
>> prepared to be refined. __OED
>>
>> 8 points = Jim 2 + Jean-Joseph 2 + Pierre 2 + Eric 2
>>
>> Jim:  2 points, because this sounds like the kind of double-definition word
>> Elliott would choose.
>>
>> Jean-Joseph:  Two seemingly unrelated definitions, the second of which
>> sounds distinctly odd. Makes me suspicious enough to award two points.
>>
>> Eric:  I like how the definitions are so disparate. Two points.
> Like the time I picked "creem" with three completely unrelated defs.
>
>> ________________________________________________________________________
>> caxon, n.  A tongue tattoo.
>> __Jean-Joseph
>>
>> 2 points =  2 points for correct guess
>>
>>
>> Hutch:  The very idea of tattoos makes me cringe slightly. The idea of a
>> tongue tattoo absolutely makes my skin crawl. If this is the word, I may
>> have to vomit.
> I searched afterward, and there is such a thing as a tongue tattoo.
>
> Pierre