The phrase "addition to the conditions" is not correct in standard English.
It seems to be a misphrasing; the correct expression would typically be "in addition to the conditions."
Example: "In addition to the conditions outlined in the contract, we also require a deposit."
Alternatives: "besides the conditions" or "along with the conditions."
On the back of each entry blank is a new addition to the conditions under which nominations are accepted.
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 ).
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.
A nuclear gene for SZ should meet this 'persistence condition' in addition to the condition of bearing a significant association with SZ.
In this paper, we have developed a new approach based on defining the set of necessary conditions for economic development to take place – in addition to the economic conditions, there are the investment conditions and the political and institutional conditions.
