Sentence examples for without the assumption from inspiring English sources

Steve Sachs, director of trading at Rydex Investments, said investors were now facing an uncertain outlook without the assumption of a Fed rate cut.

This fails without the assumption of Z-stability.

We derive the mass profiles without the assumption of analytical models.

Then we will establish Theorem 1.3 by proving the following theorem without the assumption (1.10).

In the case p = 2 without the assumption (f3), the above theorems may not be true.

(Q1) Are Theorem 5.2 and Theorem 6.1 true without the assumption K ∗ ⊆ K ?

These tests can be implemented with and without the assumption of equal population variances.

However, this algorithm may fail to converge weakly without the assumption (C2).

Our results have been found without the assumption that the GMS space ( X, d ) is Hausdorff.

At first we prove the closedness of without the assumption of normality.

Almost all of our results are proved without the assumption of the continuity of mappings.