#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"
- From: a_plutonium <a_plutonium@xxxxxxxxxxx>
- Date: Fri, 7 Dec 2007 23:11:28 -0800 (PST)
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
.
- Follow-Ups:
- References:
- #383 both P-adics and Natural Numbers are built from endless adding of 1 so both are Infinite Integers; new textbook: "Mathematical-Physics (p-adic primer) for students of age 6 onwards"
- From: a_plutonium
- Re: #383 both P-adics and Natural Numbers are built from endless adding of 1 so both are Infinite Integers; new textbook: "Mathematical-Physics (p-adic primer) for students of age 6 onwards"
- From: Proginoskes
- #386 teaching Heckman the fallacy of his argument that a infinite set need not contain an infinite element; new textbook: "Mathematical-Physics (p-adic primer) for students of age 6 onwards"
- From: a_plutonium
- Re: #386 teaching Heckman the fallacy of his argument that a infinite set need not contain an infinite element; new textbook: "Mathematical-Physics (p-adic primer) for students of age 6 onwards"
- From: David R Tribble
- #392 teaching Heckman & Tribble a thing or two about infinite sets; new textbook: "Mathematical-Physics (p-adic primer) for students of age 6 onwards"
- From: a_plutonium
- Re: #392 teaching Heckman & Tribble a thing or two about infinite sets; new textbook: "Mathematical-Physics (p-adic primer) for students of age 6 onwards"
- From: David R Tribble
- #399 teaching Heckman & Tribble a thing or two about infinite sets; new textbook: "Mathematical-Physics (p-adic primer) for students of age 6 onwards"
- From: a_plutonium
- Re: #399 teaching Heckman & Tribble a thing or two about infinite sets; new textbook: "Mathematical-Physics (p-adic primer) for students of age 6 onwards"
- From: David R Tribble
- Re: #400 multiplication again; new textbook: "Mathematical-Physics (p-adic primer) for students of age 6 onwards"
- From: David R Tribble
- #383 both P-adics and Natural Numbers are built from endless adding of 1 so both are Infinite Integers; new textbook: "Mathematical-Physics (p-adic primer) for students of age 6 onwards"
- Prev by Date: Re: Definitions of T_0, T_1, etc. Topological Spaces
- Next by Date: #411 largest triangle on a sphere?; new textbook: "Mathematical-Physics (p-adic primer) for students of age 6 onwards"
- Previous by thread: #423 maximum triangles drawn on the surface of a sphere and how they look; new textbook: "Mathematical-Physics (p-adic primer) for students of age 6 onwards"
- Next by thread: Re: #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"
- Index(es):