It is, however, slightly weaker because of the additional assumptions on Y.

In this more general setting, usually additional assumptions are needed to obtain such results.

However, some additional assumptions are needed to show that this satisfies the balance condition.

A proof that uses a minimum of additional assumptions or previous results.

With some additional assumptions, that placed the value of the card business at about $1 billion.

However, there are two additional assumptions proposed by him :

Thus, additional assumptions must be made to constrain the model.

But you'll never capture all of reality, no matter how many additional or complex assumptions you make.

Some sorts of additional assumptions are typically necessary to get good results.

However, this calculation relies on a number of additional assumptions.