Sentence examples for shall be denoted from inspiring English sources

The norm on (L X, Y)) shall be denoted by the same notation (Vert cdot Vert ).

1- The approximation and detail after every FWT decomposition stage shall be denoted by the name section.

The set of all positive semi-definite matrices in M n ( C ) shall be denoted by H n + ( C ).

The zeros of the polynomials shall be denoted by z 1, …, z j where j ≤ k − 2, they are also called nodes.

The SU-Tx transforms the stored packets into bit streams and adopts its transmission power based on the joined CSI which shall be denoted as (M + 1 -tuple (g1 -tuple., g1M ; h1).

for some nonempty closed convex subset C of a smooth, strictly convex, and reflexive Banach space E. In the sequel, the resolvent of a monotone mapping A : C → E ∗ shall be denoted by Q r A : = ( J + r A ) − 1 J for r > 0. We know the following lemma.

end{aligned}   (4) If G is a subset of ({{mathrm{text {Aut}}}}(X)), then the natural marked variety is the triple (X, G, i), where ( i :G rightarrow {{mathrm{text {Aut}}}}(X)) is the inclusion map, and it shall sometimes be denoted simply by the pair (X, G).

The closure of a set M will be denoted by M ¯, and we shall henceforth shorten T − μ I to T − μ.

The MS's position, that shall be estimated from the ToAs, is denoted by p =[p1,p2] T =[x,y] T, while the known locations of the ROs are denoted by p b = [pb,1,pb,2] T =[x b,y b ] T, 1 ≤ b ≤ B, where B is the number of reference objects.

where (a)+ = max {0,a} and 1 μ is denoted as the water-level and shall be chosen in order to satisfy the total power constraint.

Concatenation is denoted by '+'.