Sentence examples for assumptions imposed from inspiring English sources

Finally, the author shows that the usual weight functions based on nearest neighbor methods satisfy the designed assumptions imposed.

It is well-known that ∥T t)fT t g−T t)fg∥t tends to 0 under certain smoothness assumptions imposed on f and g.

With real rank zero added to the assumptions imposed on the C⁎-algebras, ideal-related K-theory is known to be strongly complete for four of these six spaces.

Under the assumptions imposed on Lemma  3.2.

Some additional assumptions imposed on were needed there.

Strong convergence of this method was established under suitable assumptions imposed on the algorithm parameters.

We show how to choose an access order such that, under certain assumptions, imposing that order incurs no performance penalty.

By introducing the integral controllers and free weighting matrix scheme, some restricted assumptions imposing on the switched systems are avoided.

Lin and Liu [6] established the L 2 -stability of peakons for Degasperis-Procesi Eq. (4) under certain assumptions imposing on the initial value.

The basis is a homogenization/averaging scheme using a micro-randomness assumption imposed on a directional higher gradient interaction term.

Thus the assumption imposed on (B_{i}) in Theorem 10 is valid.