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## Main Question or Discussion Point

What's the most mathematical elegant way of converting the numbers on the left (x) to the numbers on the right (y). Note that the numbers don't have to be exactly the same, as long as the property of how the numbers act is left intact - so that numbers (x) closer to 1 act as the formula 1/(1-x) = y, while numbers (x) closer to 0 act as the formula that twice as many zeros equals half the amount of y:

In other words, I want to unify these formula to act as one 'master formula'. So there you go, convert x to y:

0.00000000000000000000000000000001 --> 0.0125

0.0000000000000001 --> 0.025

0.00000001 --> 0.05

0.0001 --> 0.1

0.01 --> 0.2

0.1 --> 0.4

0.5 --> 0.75

0.9 --> 4

0.99 --> 40

0.999 --> 400

0.9999 --> 4000

0.99999 --> 40000

In other words, I want to unify these formula to act as one 'master formula'. So there you go, convert x to y:

0.00000000000000000000000000000001 --> 0.0125

0.0000000000000001 --> 0.025

0.00000001 --> 0.05

0.0001 --> 0.1

0.01 --> 0.2

0.1 --> 0.4

0.5 --> 0.75

0.9 --> 4

0.99 --> 40

0.999 --> 400

0.9999 --> 4000

0.99999 --> 40000

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