- #1
rosh300
- 17
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Homework Statement
Find a Bijection [tex]\left( 0,1 \right) \rightarrow [/tex] R
Homework Equations
Detention of bijection
The Attempt at a Solution
let r be a number in the interval [tex]\left[ 0,1 \right] [/tex]
r = a b1c1b2c2 ... bncn where a, b,c are digits between [0, 9]
f(r) =
{ - b1b2b3 ... bn . c1 c2 ... cn if a<5
{+ b1b2b3 ... bn . c1 c2 ... cn if a>=5
i know its incorrect as it is not injective. any help in trying to get the plus minus part.