Sentence examples for instead of conditions from inspiring English sources

Exact(6)

Certainly, we believe that, instead of conditions (2.12 - 2.13), only if a_{j_{r}}(x)=0,quad x_{j_{r}}=0,textit{ or }1, the same conclusion of Theorem  2.8 is also true.

(2) If A = 0, instead of conditions (i) and (ii), we assume that for any ( t, u, v ) ∈ [ 0, T ] × [ A − a T, A + a T ] × ( − a, a ), the following inequalities hold: M 1 ≤ f ( t, u, v ) ≤ M 2,  .

If A = 0, instead of conditions (i) and (ii), we assume that for any ( t, u, v ) ∈ [ 0, T ] × [ A − a T, A + a T ] × ( − a, a ), the following inequalities hold: M 1 ≤ f ( t, u, v ) ≤ M 2, where 0 < M 1 < M 2 are two constants.

(5.6) Therefore, if we use condition (5.3) in Theorem 4 instead of conditions (i) and (ii), then we obtain the rates of statistical deferred weighted (mathcal{B} -summability of the sequence ((T_{n})) of positive linear operators in Theorem 3. The authors declare that they have no competing interests.

Tautologies on the guards and the invariants may be used instead of conditions on these delays.

This is even more remarkable when taking into account that the assay used EpiSC culture conditions instead of conditions promoting reprogramming or ESC self-renewal.

Similar(53)

cannot be set instead of condition (2.31) in Lemma 2.11 as Example 2.4 demonstrates.

cannot be set instead of condition (4.4) as the following example demonstrates.

cannot be set instead of condition (3.23) as Example 2.4 demonstrates.

Let us mention also that, instead of condition ((f2^{prime})), in this case, it is sufficient to assume condition ((f2)).

The same result remains true if the uniformly convex metric space is supposed to have the geodesic extension property, and conditions (ii - iii) hold ii - iiiof condition (i).

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