The phrase "as a consequence we get" is correct and usable in written English.
It can be used to indicate a result or outcome that follows from a previous statement or action.
Example: "The experiment was successful; as a consequence, we get reliable data that supports our hypothesis."
Alternatives: "therefore we obtain" or "as a result we achieve".
As a consequence we get that the set of eigenvalues of tridiagonal sign matrices is dense in the unit disk.
As a consequence we get that the Banach spaces with the Daugavet property and its dual spaces have octahedral norms.
As a consequence we get composition series of the analytic continuations of certain holomorphic discrete series and expansions of matrix-valued reproducing kernels.
As a consequence we get a new simple condition for the existence of invariant subspaces of selfadjoint operators in Krein spaces, which provides a different insight into this well-know and in general unsolved problem.
As a consequence, we get a weighted L1t(L3v) estimate for the solutions of the spatially homogeneous Landau equation with Coulomb interaction, and the propagation of L1 moments of any order for this equation.
"The U.K. is probably the best plaintiff jurisdiction anywhere, and as a consequence we get increasingly sophisticated plaintiffs looking at which country is best to sue in and being increasingly attracted to the U.K".
As a consequence, we got downgraded.
As an immediate consequence, we get the Brouwer degree of the gradient map which was firstly obtained by Peng and Tang with moving frame method.
As an easy consequence, we get that if (s=0) and (gamma le 0), then (mu _{gamma, 0}(Omega ) = frac{1}{K(n,2)^2}).
Remark 4.5 As an immediate consequence, we get that under the assumptions of Theorem 4.3, (2.8) is asymptotically stable (i.e. its any solution y tends to zero as t → ∞ ) if all the zeros of Q are located inside the unite circle.
As a consequence, we can get a generalized version of Theorem 12 in [1] and Theorem 3.3 in [17] to the general setup of uniformly convex hyperbolic spaces, respectively.
