[brudgers]

Base -2 would get us cleanly to the $15,000 project mentioned in the article. A sort of "Lose £30 in 30 days," approach.

However, I am not a mathematician. I don't know that base -2 complies with the laws of mathematics.

[KMag]

-2 2 == 2 2. I think you mean base 0.5.

[Tyr42]

How base works: In base n, you have a number that looks like a list of digits ex. abc. Let's notate that c = number[0], b = number[1], a = number[2]. Then the value of the number is the sum

  value = 0;
  for(i = 0; i < numberOfDigits; i++)
    value += n^i + number[i];

Or, it looks like a(n^2) + b(n^1) + c*(n^0).

So, if you have a base less than 1, you get smaller as you go to the left.

Also, if you have a negative base, you change from adding to subtracting every digit. In a sort of "That'll take 2 years, minus 4 months, plus 2 weeks, minus 3 days" sort of way.

[brudgers]

It's a good thing I don't claim to be a mathematician.

Improvements for negative exponent version 2.0 - any loss can now be called exponential growth by selecting the appropriate exponent.