Sentence examples for in addition to the conditions from inspiring English sources

Thus in addition to the conditions (C1 - C4) of Theorem 2.3 we can consider the condition.

In addition to the conditions of the unstable solution, the influence of the application method cannot be excluded.

In addition to the conditions in (i), assume that lim sup u → 0 + L F ( u ) < ∞ holds.

Therefore, in addition to the conditions of (1), the following connectivity condition should be satisfied for the proposed polling method: (2).

Corollary 8.5 In addition to the conditions of Theorem  3.2, if also ( ξ ( t ) t ) is non-increasing, then ∥ t ˜ n E H − f ˜ ∥ r = O ( ξ ( 1 n + 1 ) log ( n + 1 ) π ).

In addition to the conditions typically employed in a functional analysis (i.e., alone, attention, play, demand), we included an ignore condition to examine potential effects of stimulus control by the presence of an adult.

This parameter indicates a lower bound on the number of items that a covered bin must contain in addition to the condition on the total size.

Since B ∗ α [ u ] ( 0 ) = 0, the function v ( x ) must satisfy in addition to the condition v ( 0 ) = 0. Arbitrary solution of the problem (2.4) at smooth f ( x ) and g ( x ) is represented in the form of (4.1).

In addition to the condition in Equation (15), since the signal is provided at a finite number of grid points, an extra set of conditions must be met in order for the matrix W not to be rank deficient: 1 + m i ≤ n i, i = 1, …, N s.

For zone 1, 2, 3 and 4 in the diagonal area, in addition to the condition -δ

A nuclear gene for SZ should meet this 'persistence condition' in addition to the condition of bearing a significant association with SZ.