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I'm surprised that there's no single-
letter, doublestruck notation for the
numbers in the interval [0,1].
It seems fairly fundamental a concept,
considering there's an infinite number
of them, and that a great many
functions are defined with domain,
codomain or both, using this specific
interval - especially with machine-
learning algebra almost exclusively
operating within this niche location.
Therefore, I'd like to humbly suggest
hereonforth using doublestruck U to
describe the Unit Interval.
MATHEMATICAL DOUBLE-STRUCK CAPITAL U (U+1D54C)
One of these. [zen_tom, Dec 04 2018]
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Lots of different fonts you can post on forums and in text messages. (Including doublestruck U). [xaviergisz, Dec 05 2018]
||As a stop-gap, how about using a regular U and drinking
||That works for the U's but renders much of the rest
of the maths incomprehensible, so on balance, a net
||Perhaps this is less of a problem in the States, where they
have math rather than maths?
||Quite, in the states, there is only a single math for
people to contemplate, whilst here in the birthplace
of reason, we bask in the luxury of having all three.
||Do we need four symbols, to represent [0,1], [0,1), (0,1]
and (0,1) distinctly?
||Surely those can be identified by putting different kinds of
hats on the double U? (Not to be confused with W, which's
standard name is terrible and needs to be changed.)
||UUhy uuould it need to be changed?