Sentence examples for part of condition from inspiring English sources

If the first part of condition (H3) of Theorem 2.2 holds, then (3.40).

If the second part of condition (H3) of Theorem 2.2 holds, that is, (3.49).

Theorem 6.2 Suppose that (1) part of Condition 3.6 and Condition 6.1 are satisfied.

In fact, in view of (3) part of Condition 2.2 and R-positivity of  these are proved by reasoning as in Lemma 2.3.

In other words, whenever the stochastic integral is well defined, and under Conditions 1-3, the rate of the exponential decay to zero in mean square is insensitive to the parameter H. Theorem 5.1 remains true if we replace the first part of Condition 2 by Condition 4 below.

Elsewise, if (vert cvert >M^), on the basis of the initial part of condition ((H_{3})), we obtain c int_{0}^{1} biggl( int_{0}^{1}G(t,s fbigl s,cs^{alpha-1},cGamma( alpha s,cGamma alpha bigr),ds biggr),dA t)< 0, which contradicts (lambda c^{2}geq0).

Prognosis is a relatively new area but has become an important part of Condition-based Maintenance (CBM) of systems.

Jirenhed, D. A. & Hesslow, G. Time Course of Classically Conditioned Purkinje Cell Response is Determined by Initial Part of Conditioned Stimulus.

There it was shown that equilibrium point is locally asymptotically stable if and only if that is a part of conditions (4.25).

Then, neurons were treated with these two parts of conditioned medium respectively and according to the Western blot results, the Heavy part of conditioned medium showed little effect on IDE and NEP expression.

Next, we focused on the Light part of conditioned medium and extracted the hydrophobic composition by organic extraction and treated neurons with the hydrophobic and hydrophilic composition respectively.