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Greg,
I've fallen asleep during a "Law and Order" segment. My
significant other wakes me to suggest it's time for bed. I go to
make my last pass through my messages before blanking my
screen. Through blurred vision and with considerable effort I
try to digest your message.
My gosh have I joined the opposition, conveniently reducing
the ten commandments to nine in eliminating the admonition
about bearing false witness? Have I overstated the case,
made excessive claims? Do I now find myself among the
ranks of this administration, the neo-cons, and the Republican
Party? How do I do penance? How do I return to moral
behavior?
Rational and transcendental. However defined they fall into
the real of "real" or "imaginary" numbers somehow
expressible as variable precision, fixed decimal form. I have
not offered the incomplete world of "int" and "float", but that
of fully expressible decimal and binary arithmetic, of "real"
numbers. Due to the convenience of the APL operator set I
offer them in any base-x numbering system, allowing "mixed"
expressions of unlimited variety.
If you find yourself bound by implementation limits, that's the
beauty of a self-defining specification language: you can set
your own limits and extend them at will: self-defining means
self-extensible. One language. One source. All applications.
One tool.
So I don't see where any portion of your problem set gets
excluded. If it is expressible as a "real" number with or
without a fractional portion, it's included. If a particular
implementation doesn't satisfy the theory, then you know why
"int" isn't. But then you're only limited by "your"
implementation. When you have the power it's kind of hard to
point elsewhere.
I hope I've gotten the commandments back up to ten.
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