Sentence examples for consequently by applying from inspiring English sources

(3.18) Consequently, by applying induction for (3.18), we obtain (3.13).

Consequently, by applying the proposed approach to a gravity-anomaly map, a detailed general view of surface and subsurface structural boundaries can be obtained successfully.

Consequently, by applying Theorem 1, ϕ ( z ) ∈ S m l ( α 1, α, μ ) and the proof of (3.13) is completed.

Consequently, by applying the proposed approach to a gravity anomaly map, a detailed general view of surface, and subsurface, structural features can be obtained successfully.

Consequently, by applying descriptions in Prolog that use a simple structure, it becomes easy to generate the explanatory text; additionally, it becomes possible to easily select the question and problem condition from the correctness knowledge.

Consequently, by applying the Fredholm alternative to the dual system (langle X, Zrangle) with the (L^{2}) bilinear form, we can see that the adjoint operator (I + A') has a trivial null space in the weighted product space Z.

We are motivated to inquire connections of artistic research to innovation and innovation systems by relying on and by applying consequently the concepts of the Quadruple and Quintuple Helix innovation systems.

Finding markers for risk stratification can improve risk group assignment and consequently improve treatment efficacy by applying as much therapy as needed to cure the patient but avoiding over-treatment, which can increase long-term adverse side effects.

MOH is not simply a highly frequent migraine or TTH and, consequently, efforts to treat MOH by applying the basic principles of primary headache therapy are often unsuccessful.

It can be easily shown that (22) is also a convex function of {p,t s }, and consequently the optimal solution can derived by applying Karush-Kuhn-Tucker (KKT) conditions.

An increased interatomic spacing decreases the potential seen by the electrons in the material, which in turn reduces the size of the energy bandgap (a direct increase/decrease in the interatomic distance, and consequently, bandgap, can be obtained also by applying high compressive/tensile stress [29, 30]).