Sentence examples for g for g from inspiring English sources

Its closure A ¯ 0 = : A is self-adjoint on the set D ∗ = : D ( A ) and A g = v Q ( D ) ( v g ) for g ∈ D ∗.

Let comm = Φ ′ denote the commutant algebra of all complex k × k -matrices simultaneously commuting with Φ ( g ) for g ∈ G.

In inhomogeneous solids, many non-dissolved grains are detached in typical conditions of temperature and activation energies, leading to ratios of detached and dissolved masses of order g, for g ≫ 1.

Furthermore, since there is a single channel state g, to simplify notation, we will write R to denote R ( g ) for g ∈ G and A to denote A ( s ) for s = (x, g), g ∈ G.

Note T φ ◁ G for G ′ ≤ T φ.

In the case that G has just one non-main eigenvalue, we find necessary and sufficient spectral conditions on a vertex-deleted subgraph of G for G to be the cone over a strongly regular graph.

An equivalence relation ≈ on Δ is called G-invariant if, whenever α, β ∈ Δ satisfy α ≈ β, then g ≈ g for all g ∈ G.

Given two genomes g 1, g 2, for example: g 1= CCTAAGAACGGTT", g 2= AAGTGTGCTTTAT".

for all g x, g y, g u, g v ∈ g ( C ), for which g ( x ) ⪯ g ( u ) and g ( y ) ⪰ g ( v ).

for all g x, g y, g u, g v ∈ g ( X ) for which g ( x ) ⪯ g ( u ) and g ( y ) ⪰ g ( v ).

A map f : Z → Z is G-equivariant if f ∘ g = g ∘ f, for every g ∈ G. Definition 2.6 ([[15], p.99]).