Sentence examples for satisfied using the from inspiring English sources

Thus, at the optimal point, there must be ∥α w ∥2+∥β w ∥2=θ P. Next, let us prove that Equation 82 is satisfied using the result of lemma 3. Case 1: θ=(Q−1)/(P∥g∥2): It follows from Equation 70 that w is parallel to g.

Rational decision making becomes efficient when information is maximized and preferences are satisfied using the minimum of resources.

The divergence free constraint is satisfied using the Locally Divergence Free (LDF) approach.

This paper investigates whether the environmental Kuznets curve (EKC) hypothesis for CO2 emissions is satisfied using the panel data of 28 countries by taking nuclear energy into account.

The commanded control torques are allocated to each nanosatellite while the control saturation constraint being satisfied using the Quadratic Programming (QP) method.

Simulations validate the expectation that the constraints are probabilistically more likely to be satisfied using the robust design than a nominal design based on uncertain parameters.

The eigenvalues satisfy (using the min-max theorem) λ 1 = inf { R : ξ ∈ domain H }, λ 2 = inf { R : ξ ⊥ span ( ψ 1 ) }.

They felt comfortable and satisfied using it.

Five were very satisfied, eight satisfied and one equivocally satisfied after using the device.

Experimental results verify that the objectives of the paper are satisfied after using the proposed system.

These conditions are shown to be satisfied when using the subsonic source as a secondary actuator.