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Well, this is a theory in the making......for me at least. Heck, it might be

already out there......I

was thinking yesterday, as I was writing out powers of 2......(I'm up to 2^26 so

far....now I

have to study them all. I have memorized up to......13 so far......8192......)

I started to " see " in my mind some unrelated numbers, large ones, breaking up

into " webs "

with little squares or diamonds at the ends of the web strings......but they

were all blank for

me. I was thinking that, in the mind of a person who can multiply large numbers

very quickly,

that those blank diamonds that I was " seeing " would be filled with.......the

large number's

elements.......the breakdown of that number into much smaller numbers.......and

that the

whole process must be occuring in the time it takes for a neuron to connect with

another........IOW, almost instantaneously.

I just thought that was very interesting.........worthy of posting.......

make sense to anyone? I'm curious.....

The Integral

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Hi Mircea,

I like your mathematical posts. You are right, of course: exponential growth

only happens for a limited length of time, for applications like this one. Do

you like theoretical stuff too, or just applied?

Mircea Pauca wrote:

" baracca_7 " wrote:

>I just figured 2^100 again (If my math was right)

> 1267650600228229401496703205376 or

> 1,267,650,600,228,229,401,496,703,205,376

> that is a lot of bacteria :)

Have you calculated how much they would weigh,

how much space would they occupy, what matter

and energy flow (or stock) would they need ?

At THIS scale exponential growth gets irrelevant.

Far more relevant is the S-shaped Logistic growth

equation taking into account a limited environment.

http://en.wikipedia.org/wiki/Logistic_growth

Practically validated in 1928 by counting flies

growing in a bottle with a piece of meat ;-)

Thank you for thinking about this,

Mircea Pauca, Bucuresti, Romania

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You mean like

2^25 = 33554432? Or, 2^24 = 16777216?

Athena Ivan wrote:

Well, this is a theory in the making......for me at least. Heck, it

might be

already out there......I

was thinking yesterday, as I was writing out powers of 2......(I'm up to 2^26 so

far....now I

have to study them all. I have memorized up to......13 so far......8192......)

I started to " see " in my mind some unrelated numbers, large ones, breaking up

into " webs "

with little squares or diamonds at the ends of the web strings......but they

were all blank for

me. I was thinking that, in the mind of a person who can multiply large numbers

very quickly,

that those blank diamonds that I was " seeing " would be filled with.......the

large number's

elements.......the breakdown of that number into much smaller numbers.......and

that the

whole process must be occuring in the time it takes for a neuron to connect with

another........IOW, almost instantaneously.

I just thought that was very interesting.........worthy of posting.......

make sense to anyone? I'm curious.....

The Integral

---------------------------------

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This is funny! It reminds me of the time my Freshman Chemistry prof calculated

the wave properties of a nickel, and gave the answer per mole of nickels. A

classmate asaked me if the mass of nickel in the Earth would produce a mole of

nickels. We looked it up, and decided that it would not.A mole is a little

greater than 2^115.

baracca_7 wrote:

I was just finding 2^100

I never thought that bacterial growth followed exponential growth

indefinitely.

I was teasing...that high a number would be a lot of anything, right?

there is also a story about a guy that tricked a king into giving him 1

cent on one space of a chess board, and to double that on every space

on the board. The actual number of 2^64 is irrelevent there, too, since

it is far more money then in the whole world :)

$184,467,440,737,095,516.16 would be a lot of money :)

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$368,934,881,474,191,032.31 is the total for the chess board since

the other 63 spaces would be together one cent less then the 64th space

meaning that ((2^65)-1)/100 would be the inanely large number above

(every space would be one cent more than the preceding spaces totaled)

1 2 4 8 16 32 64 128

0 1 1 2 3 4 7 8 15 16 31 32 63 64 127 128

(sorry...I'll shut up about it now)

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> >

> > Well, this is a theory in the making......for me at least. Heck, it

> > might be

> > already out there......I

> > was thinking yesterday, as I was writing out powers of 2......(I'm up to

> > 2^26 so

> > far....now I

> > have to study them all. I have memorized up to......13 so

> > far......8192......)

> >

> > I started to " see " in my mind some unrelated numbers, large ones, breaking

> > up

> > into " webs "

> > with little squares or diamonds at the ends of the web strings......but

> > they

> > were all blank for

> > me. I was thinking that, in the mind of a person who can multiply large

> > numbers

> > very quickly,

> > that those blank diamonds that I was " seeing " would be filled

> > with.......the

> > large number's

> > elements.......the breakdown of that number into much smaller

> > numbers.......and

> > that the

> > whole process must be occuring in the time it takes for a neuron to

> > connect with

> > another........IOW, almost instantaneously.

> >

> > I just thought that was very interesting.........worthy of posting.......

> >

> > make sense to anyone? I'm curious.....

> >

> > The Integral

> >

> >

> >

>

>

>

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>

> $368,934,881,474,191,032.31 is the total for the chess board since

> the other 63 spaces would be together one cent less then the 64th space

> meaning that ((2^65)-1)/100 would be the inanely large number above

>

> (every space would be one cent more than the preceding spaces totaled)

> 1 2 4 8 16 32 64 128

> 0 1 1 2 3 4 7 8 15 16 31 32 63 64 127 128

>

>

> (sorry...I'll shut up about it now)

Interesting. I don't know much at all about chess......what does the above text

mean?

Athena

>

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If you mean the two rows of numbers it was supposed to show part of

what I meant. Since the spacing between the numbers reverts to one no

matter how many spaces I put between them It fails to look as I disired

If you put a penny on the first space and double it every space then

the total money on the bourd is

((2^65)-1)/100

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