Sentence examples for i satisfying from inspiring English sources

The reduction should preserve the flux of each terminal species, meaning that the following equation should be satisfied identically, for all c T and c I satisfying (22),(23): (27) ∑ m ∈ R I ν m j R m (c I, c T ) = ∑ i = 1 s (S T γ i ) j R ′ i (c ), j ∈ T where R ′ i (c ) are the rates of the simple sub-mechanisms.

[15] Notice that not all function I satisfying Eq. (4) is a fuzzy implication.

Suppose that α is a measurable function on I satisfying the condition 0 < α − ( I ) ≤ α + ( I ) ≤ 1.

Similarly, we can obtain another negative critical point u2 of I satisfying C q ( I, u 2 ) = δ q, 1 Z. (14).

Similarly, we can obtain another negative critical point (u_{2}) of I satisfying C_{q}(I,u_{2} =delta_{q,1} Z

When a K i satisfying a i ≥b i.

By Lemma 4.1 and ( F k − 1 ), for c ≥ 0, we get I ± satisfying ( PS ) c conditions.

(4) If (f^{prime}(x_{0} inmathcal{I}) satisfying (4) exists, we say that f is generalized Hukuhara differentiable (gH-differentiable for short) at (x_{0}).

Let ((Omega, mathcal {F},mathcal {P})) be a complete probability space furnished with a normal filtration (mathcal {F}_{t}), (tin mathscr{I}), satisfying the usual conditions, and (mathbb{E}(cdot)) means the expectation with respect to the measure (mathcal {P}).

Let (Ain mathbb {F}^{mathbb {I}times mathbb {I}}) satisfying (2.42) and (mathbf {p}in (mathbb {G}_2)^{mathbb {I}}).

Sung [4] obtained the weak law of large numbers for an array { X n i } satisfying Cesàro-type unintegrabilitybility with exponent r for some 0 < r < 2. Chandra and Goswami [5] introduced the concept of Cesàro α-integrability ( α > 0 ) and showed that Cesàro α-integrability, for any α > 0, is weaker than Cesàro uniform integrability.