Sentence examples for I satisfying from inspiring English sources
When a K i satisfying a i ≥b i.
Establishing, new criteria for elimination of solutions of ( E i ) satisfying ( P i ), i = 1, 2, we immediately obtain sufficient conditions for property (A) of (E).
On the other hand, (vin S_{-1}) is equivalent to ((Av+f v))_{i}leq0) holds for each index i satisfying (v_{i}>phi_{i}).
Proposition 2.6 If x i is not a solution of problem (1.1), then there exists a nonnegative integer k i satisfying (2.3) and (2.4).
Thus, for any integer i satisfying (1leq ileq n_{1}), we can find the unique integer (1leq k_{i}leqsigma) such that (delta _{n_{1}}^{i}inLambda_{k_{i}}^{circ}(widehat{x}_{e})).
Subset 2: We consider the case of u = ∑ i = 1 p α i δ ˜ i ∈ V ( p, ε ) such that there exist a i satisfying a i ∉ ⋃ y ∈ K B ( y, ρ ).
In this article, we study the Berry-Esseen type bounds for wavelet estimators of β and g in model (1.1) based linear process errors {ε i } satisfying the following basic assumption (A1).
By Lemma 4.1 and ( F k − 1 ), for c ≥ 0, we get I ± satisfying ( PS ) c conditions.
The solution (f z)=tan(frac{pi}{2}z)) has two Borel exceptional values i and −i satisfying the equation (2z^{2}-cz-b=2z^{2}+2=0).
Starting from a feasible solution as the initial value, e.g., subspaces {ℜ i } satisfying p i, 0 = 1 M, we repeat the following two steps until the convergence: step 1 - determine the power allocations {P i } given the subspaces {ℜ i }; step 2 - determine the subspaces {ℜ i } given power allocations {P 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.
