Quote:
Originally Posted by chriscurtis
10^38 = 38^(root 10)
x^y = y^(root x)
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No.
You can convert bases easily enough with natural logarithms and exponents.
e^ln(x) = x, so a^b = (e^ln(a))^b = e^(ln(a)*b)
e^(ln(10)*38) = e^(ln(38)*x)
ln(10)*38 = ln(38)*x
38*ln(10)/ln(38) = x = 24.0539274
24.0539274 not being anything remotely describable as "root 10"
(edit:
You seem to have confused roots with logarithms, the inverse of exponentiation, though it's not as simple as you put it...you're changing base, not taking the inverse of a function. Roots are something else. The nth root of x is y, such that y^n = x. For example, the square root of 5^2 is 5, the square root of 2 is an irrational number that, when multiplied by itself, equals exactly 2. The nth root is also equivalent to raising to a power of 1/n..."sqrt(x)" can also be written as "x^0.5", or "e^(ln(x)/2)".)
Quote:
Originally Posted by chriscurtis
Planck time is the smallest, 1 in any unit. we can't use normal number to integrate this, so we'll use Pi.
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Why can't we? How do you use pi to do so? Why are you integrating a unit distance? With respect to what are you integrating it? Do you even have the slightest idea what integration is?
Quote:
Originally Posted by chriscurtis
Sorry about the explanation of the exponent stuff, I haven't learnt it yet.
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Learn it. If you're lacking even the most basic tools of mathematics, how do you expect to make any meaningful contributions to it?
You say it does many things, but you have yet to do even one useful thing with it. All you've done so far is lay out masses of digits and shuffle them around with steps you make up on the fly, demonstrate a lack of mathematical skills, and apparently, decide that the largest number your calculator can handle is the largest one possible, and that somehow nobody's noticed it before.
I'm getting the impression you're stumbling around the idea of base pi notation. It is in fact possible to use non-integer, and even irrational numbers as bases in a positional number system...there's even a base phi system, and a related Fibonacci binary coding system. The numbers represent the same quantities, however, and they work out the same...it's just a different way of writing numbers. Prime numbers are still prime, there's no maximum number, things don't wrap around. These number systems are not going to revolutionize physics or math, for the most part they are curiosities, though they may find occasional use in encoding data. And I don't want to discourage you from getting into math, but you have a *lot* to learn before you are going to revolutionize anything.