#410 what is the largest triangle on a sphere surface in terms of area; new textbook: "Mathematical-Physics (p-adic primer) for students of age 6 onwards"





Jesse F. Hughes wrote:
lwalke3@xxxxxxxxx writes:


AP also claims that one can start counting 0,1,2,... and eventually
reach 999...999. Thus, there is an obvious suggestion for defining <:
We write x < y iff when we start counting 0,1,2,..., we reach x before
we reach y.


I suspect the easiest way of assigning place value would be to use the
numbers
themselves as the place value marker.

The whole thing about place-value and Decimal Representation or Binary
representation
is that these things are not "mathematics" but rather our shorthand or
abbreviation of a entity.
We cannot do math of numbers if we had to pile sticks for 8888 +
99999. So we come up
with these shorthand abbreviations of 108887.

Since the multiplication on Reals is not identical to the
multiplication on AP-adics then I
cannot use 10^9999...999998 to describe the leftmost digit in
99999....999999.

So what is the best way to describe each place value in AP-adics?

I think it is to say that 5678999999.....999999432
the 5 is in the 999999.....9999999 place value
to say that 6 is in the 9999....9999998 place value
to say that the 7 is in the 99999.....999997 place value
to say that the 4 is in the 00000.....00000100 place value
to say that the 3 is in the 00000.....0000010 place value
and to say that the 2 is in the 00000....000001 place value

That system then works well on Binary AP-adics as well as Decimal AP-
adics where the numbers
themselves indicate the place value and not the multiplication,
because in AP-adics some
multiplication gives a smaller number than either multipliers. So I
need a Place Value notation
that points out the counting sequence of AP-adics and not based on
multiplication.

By the way, I need help on determining what the largest triangle that
can be formed on the
surface of a sphere looks like. Any help?

Archimedes Plutonium
www.iw.net/~a_plutonium
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies
.