Sentence examples for for each g from inspiring English sources

For each g ∈ { 1, …, G } we have the corresponding graph Laplacian L g restricted to the g th component.

If F : Ω ⟶ H is Bochner measurable and for each G ∈ L q ( μ, H ), | ∫ Ω 〈 F , G 〉 H d μ | < ∞, then F ∈ L p ( μ, H ). Proof Let { Ω n } n = 1 ∞ be a family of disjoint measurable subsets of Ω such that for each n ≥ 1, μ ( Ω n ) < ∞ and Ω = ⋃ n = 1 ∞ Ω n.

The closed-loop system must remain internally stable for each (G = F_{text{u}} (G_{text{nom}},Delta )) and in addition the performance criterion should be satisfied for each (G = F_{text{u}} (G_{text{nom}},Delta )) [25].

This means that if x j ≠ 0 is a singular point of ν, so is g x j for each g ∈ G, and the mass of ν concentrated at g x j is the same for each g ∈ G.

After creating G groups, a (group by) command is applied to all Q-ID attributes for each G group.

Within each group, item intercept parameters were constrained to be lower in the decline class (i.e., (tilde{upbeta }_{ig} le upbeta_{i}) for each g).

Further on, for each G-tuple, U additions have to be performed.

The values for each g-level are listed in Table 1.

For each G-tuple, G sorting operations of | G i | values with i = 1, …, G have to be done.

contra ((sigma,g_{Y}))-continuous if (f^{-1}(V)) is (g -semi-closed in (X) for each (g -semi-closed) in (Y).

Table 1 lists the number of grid cells for each G-R law and the results of the log-likelihood and N-tests.