Sentence examples for every g from inspiring English sources

Among other results, we prove that every semi-stable radial weak solution u∈H10 is bounded if n⩽9 (for every g), and belongs to H3="W3,2 in all dimensions n (for every g increasing and convex).

Hence, every g m is locally Bochner integrable by Theorem 4.1.

A set A ⊂ Z is G-invariant if g A = A for every g ∈ G.

A function φ : Z → R is G-invariant if φ ∘ g = φ for every g ∈ G.

Thus every G b -metric space is topologically equivalent to a b-metric space.

Actually, if their conjecture holds, then χ b ≥m(G −1 holds for every G with girth at least 5.

Every G-metric on X defines a metric d G on X by d G ( x, y ) = G ( x, y, y ) + G ( y, x, x ), ∀ x, y ∈ X.

Every G-metric space is a (D^{ast} -metric space.

Theorem 5 ⇒ Theorem 4 Recall that every G-convex space is a ϕ A -space.

We note that every G-metric is a (D^ -metric, but in general the converse is not true (see [32]).

(left( {X,F,Delta } right)) is (G -complete if every (G -completeequence if (X) is conveveryt in (X).