Sentence examples for exists a minimizing from inspiring English sources

we know that F u) is coercive, i.e., Then, there exists a minimizing sequence such that.

Hence, there exists a minimizing sequence ({ u_{n},v_{n})}subset mathcal{S}^_{ mu,sigma }), bounded in X.

By the definition of infimum, there exists a minimizing sequence { F ν } ⊂ M such that I [ F ν ] → m. as ν → ∞.

By Ekeland's variational principle, there exists a minimizing sequence ({u_{n}}subsetbar{B}_{rho}) such that (J u_{n})rightarrowtheta_{0}) and (J' u_{n})rightarrow0) as (nrightarrowinfty).

there exists a minimizing sequence { u n } ⊂ M λ such that J λ ( u n ) = α λ + o ( 1 ) and J λ ′ ( u n ) = o ( 1 ) in  [ H ] ∗ ; there exists a minimizing sequence { u n } ⊂ M λ − such that J λ ( u n ) = α λ − + o ( 1 ) and J λ ′ ( u n ) = o ( 1 ) in  [ H ] ∗.

Since (mathcal{J}_{mu,sigma }) is coercive and bounded below on (mathcal{S}^_{mu,sigma }), there exists a minimizing sequence ({ u_{n},v_{n})}subset mathcal{S}^_{mu,sigma }), bounded in X.

As presented below the algorithm Minimize, when called on the output of FindAll, returns, if exists, a minimal hyperpath linking a given target to the source.

Similarly, there exists an area-minimizing surface (tilde{S} subset tilde{N}) satisfying (partial tilde{S} = Gamma ).

There exists a tradeoff between minimizing the outage probability and maximizing the throughput.

Then, there exists a function Φ, able to minimize the jerk function, having a sixth derivative with respect to time equal to zero and given by: varPhi^{(6)} = 0 (17).

In each frequency band there exists a fibre orientation for which the modal density is minimized.