Recent content by Digit

I don't know. I am sure there is a short proof but I don't know how to do it.

The more general question is: which sums are products? A^3 = A^2 + A^2 + A^2 or A^3 = 3*A^2 From that A must equal 3, or for general: N^n = n*N^n-1 So for any two sums like Z^n = X^n + Y^n n can only be two. Just started messing with this. Don't know where it goes.

Think of the lottery as a wheel of fortune. The wheel would be about 25 miles in diameter for a 6 ball lottery. Each 6 digit lottery number would be .1 inch high so you could read it. You can, in theory, write down every possible lottery number, starting from 1 2 3 4 5 6 and ending with 45 46...

0D = d0 ; 1 1D = d1 d0 ; 1 2 2D = d1 d0 dd1 dd0 ; 1 2 3 4 3D = d1 d0 dd1 dd0 ddd1 ddd0 ; 1 2 3 4 5 6 7 8 3D contains 2D and 1D and 0D

Yes. Base 1 numbers have one symbol. Matters not what the symbol is. As you have shown, it is always that symbol. Thanks for the comments. Nothing much more to say on this subject.

operators came from language. They are restricted by the number system. For example logic came from language and and or. It so happens that there are more logic operators but not an unlimited number. Given two binary numbers A and B note that: A B AndOr 0 0 0 0 0 1 0 1 1 0 0 1 1 1 1 1 AND...

Yes, I know that. What I was not sure of is where the base counting number starts. I have put digit on a wheel. With base 0 or 1 you cannot turn the wheel. However with a*n + b = c you can make n = 0 for digit 1 and you still have digit 0 where b = c. b = c has a base also, but it does not...

When b = 0 d0 = C C is a counting number. You can count any other number system. Any multi digit number can be turned into a single digit by choosing the proper b. What this amounts to is that only digits are real. That is, all numbers cycle on some b set. d4*A^4 + d3*B^3 + d2*C^2 + d1*D +...

You still have d0 left and it can have any base you want. Why does anything have to be useful to be interesting?

Derivatives and averages are almost opposites. At the bottom, derivatives subtract, averages add.

A general two digit counting number is: d1*b + d0 = C ; where C is the count Let b = 2 as an example d 1 0 C ------ 0 0 0 0 1 1 1 0 2 1 1 3 b is the count of symbols in the digit, but it can start at 0 d1*0 + d0 = C ; works fine d0 = C ; and can be any base. d 1 0 C...

I don't know if this will help or hurt. A computer processor is two machines, working on a linear, circular memory. (RAM) There is a fetch machine that can crawl up and down the RAM and present the data in the RAM to the decode machine. The decode machine does the actions ruled by the RAM...

It has to do with the act of abstraction. You cannot draw a perfect circle because you do not have a pen with zero size. You imagine the perfect circle and you can work with that. When it comes time to put it outside, you draw the new circle or figure. In the same sense, there are no numbers...

probably Plato. All geometric figures are in your head. Outside, close enough is good enough.

Hi Warren. I thought you would get me.