In the second case that same condition means that the transformation has an inverse operation.
To effect that inverse operation in the present instance is the business of the Integral Calculus.
Then, the inverse operation, known as depuncturing, is implemented by the decoder.
The natural logarithm is the inverse operation of an exponential function.
The indefinite integral is the antiderivative, the inverse operation to the derivative.
It is the inverse operation of blowing up.
The reason is that division is defined to be the inverse operation of multiplication.
This definition ensures that division is the inverse operation of multiplication.
When the signal reaches the receiver, the inverse operations are applied to the signal to get it back to its original state.
The inverse operation of the group is the reflection of an end across the line (1, 1).