On 11/9/18 6:25 PM, Marius Spix via Unicode wrote:
Dear Mark,
I found another sample here:
https://www.marketscreener.com/BRILL-5240571/pdf/61308/Brill_Report.pdf
On page 86 it says that the aleph with diaresis is a number with
the value 1000.
That's true, I've heard of that, and even occasionally seen it. And
sometimes in old printings things like a diaeresis or a dot above were
used where later Hebrew uses a U+05F3 HEBREW PUNCTUATION GERESH or
U+05F4 HEBREW PUNCTUATION GERSHAYIM. I think what struck me about this
one was that this was not just something that looked like a
diaeresis/umlaut, it really WAS an umlaut, a direct transcoding of the
a-umlaut in Latin letters into aleph-umlaut in Hebrew letters.
Yet another usage in a mathematical context of an aleph with umlaut can
be found here, however they used U+2135 ALEF SYMBOL instead of U+05D0
HEBREW LETTER ALEF. This is not related to the value 1000, as the umlaut
is used to mark the second derivative.
https://de.slideshare.net/StephenAhiante/dynamics-modelling-design-of-a-quadcopter
(page 28-29 or slide 41-42)
Kind of an odd usage, since ALEF SYMBOL is usually used for transfinite
cardinals, as in ℵ₀, and you don't normally take time-derivatives of
those. But mathematicians love using weird symbols for whatever they
like. This is the mathematical usage of two-dots-above, as you note.
~mark
