On the importance of sequences
Leroy Quet
qq-quet at mindspring.com
Mon Mar 1 23:06:50 CET 2004
>I am annoyed at the lack of a sequence in an important paper,
>so I thought I might rant about it.
>
>I wanted to explore the "standard" form of complex continued
>fractions. Here in front of me is Ergotic Theory of Complex
>Continued Fractions, by Asmus Schmidt. I have several other
>papers and books.
>
>None of them has an actual sequence! Just a description of
>a rather complicated method. Not a single line in any of them
>such as: "By this method, the complex continued fraction of
>Pi would be {3+i, ....}"
>
>So, I rant. A sequence would have been very useful to me.
>
>--Ed Pegg Jr
It seems as if what you are really lamenting the loss of, more generally,
are examples and/or something to aid the visual understanding of an
abstract idea.
And sequences, as well as any other such visualization aid, can not only
make a math-paper more understandable, but can also make it more
ENJOYABLE to read!
:)
thanks,
Leroy Quet
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