additional assumptions

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

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

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

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

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

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

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

However, there are two additional assumptions proposed by him :

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

To circumvent the above impossibility result, additional assumptions are required.

Typically this involves including additional assumptions, such as smoothness of solution.

With additional assumptions, further conclusions may be possible; see Completeness (order theory) for more discussion of this subject.

This was undecidable, within logically simpler systems like set theory: additional assumptions had to be made.

To be able to say anything about the money supply, inflation monetary policy and so on, economists must therefore introduce additional assumptions into their models.

Without any additional assumptions, this task cannot be solved exactly since unseen situations might have an arbitrary output value.

Note that for an ill-posed problem one must necessarily introduce some additional assumptions in order to get a stable solution.

To gain more predictive power, additional assumptions on the prior distribution of alternative universes are necessary.

Newtonian mechanics makes the additional assumptions of absolute space and absolute time.

Additional assumptions on the domain are needed for the Bramble-Hilbert lemma to hold.

The multispecies model therefore necessitates additional assumptions and hence is less parsimonious.

From this and the above additional assumptions, predictions of deflections and failure strength are made.

Stokes already in 1845 introduced some additional assumptions in order to bring his theory into accord with experimental results.

Up to now, the Arnold-Givental conjecture could only be proven under some additional assumptions.

This version of the model has a series of additional assumptions that must be met, i.e., no response bias.

Additional assumptions may be required when aggregating individual demands to obtain a market or sectoral demand function.