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

[Pierre Abbat]

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
-- 
loi mintu se ckaji danlu cu jmaji
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