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Hi All,

Here is my trial to work with some theory related to the junction at
which programming language's (here C++)constructs and the area to which
they are applied meet. The first web page in this direction is:-

http://reetesh.mukul.googlepages.com/complexnumbers (please see this
only, for now)

I will edit this page --

http://reetesh.mukul.googlepages.com/ (please note down this link)

for links to pages that I will write.

I know there will be some viewing problems for now, but I will check
them with time.

I am basically working with theory, there is no inherent application I
am currently looking for description on these pages.

I know there are some flow problems on my page. Please try to use links
provided on it. I will be extremely happy if you will provide some help
or pointers about the page arrangement and subject matter. I have tried
my best to be technically correct, but please mention if any thing is
erroneous on the page.

Please suggest related topics.

With Regards,
Reetesh Mukul

wrote:
> Here is my trial to work with some theory related to the junction at
> which programming language's (here C++)constructs and the area to
> which they are applied meet. The first web page in this direction is:-
>
> http://reetesh.mukul.googlepages.com/complexnumbers (please see this
> only, for now)
>
> [..] please mention if
> any thing is erroneous on the page.

The sequence of powers of 2 that supposedly leads to -1/3 doesn't seem
right. Please review that formula.

V
--
Please remove capital 'A's when replying by e-mail
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Victor Bazarov wrote:

> wrote:
>> Here is my trial to work with some theory related to the junction at
>> which programming language's (here C++)constructs and the area to
>> which they are applied meet. The first web page in this direction is:-
>>
>> http://reetesh.mukul.googlepages.com/complexnumbers (please see this
>> only, for now)
>>
>> [..] please mention if
>> any thing is erroneous on the page.
>
> The sequence of powers of 2 that supposedly leads to -1/3 doesn't seem
> right. Please review that formula.

Actually, that is "correct". I think, that equation deals with 2-adic
integers, of which you may think as binary numbers with infinitely many
digits (but no fractional part). Ordinary counting number are included as
those infinite sequences that are constant 0 far to the left. In that
system, you can think of

...11111111111111111111111111111111111

as -1 because:

...1111111111111111111111111111111111
+ ...0000000000000000000000000000000001
=======================================
...0000000000000000000000000000000000

(the carry is carried away to infinity where it disappears like all problems
that you can push off for an infinite amount of time).

Then

-1 = ...1010101010101010101010 + ...0101010101010101
= ...00000000000000011 * ...01010101010101
= 3 * ....01010101010101010

Kind of strange, but it works.



Best

Kai-Uwe Bux