Sentence examples for be the minimum elements from inspiring English sources

Let (l(i =l_{Omega} phi,i+1)) be the minimum elements l in (pi _{Omega} phi,i)) for each (iin J_{Omega} phi)).

Let (l(j)=l_{Xi} phi,j)) be the minimum elements l in (pi_{Xi } phi,j)) for each (jin J_{Xi} phi)).

It is also well known results that and for every, where is the minimum element of.

Let Dmin and Dmax be the minimum and maximum elements of D, respectively.

Instead, we provided 50 elements considered to be the minimum requirements for a third party to reveal the identity of a patient.

These critical data items are the minimum data elements required for a case to be eligible for inclusion in the Resource.

Then the sequence ({x_{n}}) generated by algorithm (3.36) converges strongly to (x^=P_{Gamma}(0)x^), which is the minimum norm element in Γ.

Then the sequence { x n } generated by (3.4) converges to a point x ∗ ∈ S which is the minimum norm element in S.

Then the sequence ({x_{n}}) generated by (3.3) converge strongly to the fixed points (P_{operatorname{Fix}(T)}(0)), which is the minimum norm element in (operatorname{Fix}(T)). (lim_{ntoinfty}alpha_{n}=0) and (sum_{n=0}^{infty}alpha_{n}=infty); (beta_{n}in[xi_{1}, xi_{2}]subset 0,1)) for all (nge0).

Then the sequence ({x_{n}}) generated by (3.13) converges strongly to a point (z=operatorname{proj}_{Gamma}(0)), which is the minimum norm element in Γ. (lim_{ntoinfty}alpha_{n}=0); (sum_{n=0}^{infty}alpha_{n}=infty); (epsilonlerho_{n}lefrac{4h(x_{n})}{h(x_{n})+l(x_{n})}-epsilon) for some (epsilon>0) small enough.

Given an initial guess (u^{(0)}), for (k=0,1,ldots ) , until ({u^{ k)}}) converges, compute begin{aligned} (omega I+C+iI u^{ k+1)}= omega I-D+C-T u^{ k)}+b, end{alI-D+C-T u^{ khere (omega =frac{d_{mI-D+C-T u^{ k}+b}) is thend{aligned (d_{min }) and (d_{max }), where (d_{min }) and (d_{max }) are the minimum and maximum elements of the diagonal matrix D.