On Mar 7, 8:58 pm, phil chastney
<phil.hates.s...@[EMAIL PROTECTED]
> wrote:
> Gosi wrote:
> > On Mar 6, 2:53 pm, phil chastney
> > <phil.hates.s...@[EMAIL PROTECTED]
> wrote:
> >>> It will be interesting to see if people use Unicode to translate
> >>> scientific mathematical notations directly to Apl.
> >>> Has anyone tried that?
> >> what exactly are you looking for here? some sort of 2-D input encoded
> >> using Unicode, being interpreted in (or translated into?) APL,
perhaps?
>
> > It was you who suggested that technical symbols could be used in
> > Unicode.
>
> >> companies with operations entirely within the English-speaking world
may
> >> also find Unicode useful when they need to use a mathematical or
> >> technical symbol or two, or even a quotation in Foreign (it adds so
much
> >> _style_, don't you think?)
>
> > That is why I asked if those symbols could be used to translate to Apl
> > functionality
>
> I'm still baffled
>
> Unicode is an encoding, it maps abstract characters and symbols to
> hexadecimal values, nothing more (actually, there is a lot of ancillary
> stuff as well, but we'll ignore that, pro tem)
>
> most known characters and quite a lot of technical symbols can be mapped
> to hexadecimal values using Unicode
>
> the technical symbols include every published APL symbol ever used in
> any way
>
> it also includes just about every mathematical symbol the American
> Mathematical Society could think of
>
> so a stream of mathematical symbols could be encoded using Unicode
> values, and (if one exists) a semantically equivalent stream of APL
> symbols could also be encoded using Unicode values
>
> I'm sure you knew that
>
> Unicode has no functional power, and in particular, it doesn't have
> markup, so I should amend that earlier statement to "a _linear_ stream
> of mathematical symbols..."
>
> a stream of mathematical symbols, with embedded markup (presumably
> ASCII-only), could also be encoded using Unicode values
>
> conversion to a semantically equivalent stream of APL symbols could be
> done by hand, or using a programming language[1], but I doubt very much
> if a general solution exists
>
> so, yes, some 2-D mathematical expressions could be translated into
> executable APL using only Unicode values, which is my present best guess
> at what you were asking
>
> and if I've misunderstood you, my apologies
>
> all the best . . . /phil
>
> [1] note that there is no requirement for the programming language to
> know anything about Unicode -- Unicode 1.0 has a copyright date (c)
> 1990, 1991 and at that time (before the introduction of w_char) some
> people were already using unsigned ints to store Unicode values
For example:
\sum_{k=1}^{n}{a_k} means a1 + a2 + ... + an.
Unicode sign 2211 and below it k=1 and above it n
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