Sentence examples for degree condition from inspiring English sources

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The degree condition (H1) shows that D 0 ( Q N | ker L, Ω ∩ ker L ) = 1.

Xu and You [12] prove that if some frequency satisfies certain nonresonant condition and topological degree condition, the perturbed system still has an invariant torus with this frequency under Rüssmann's nondegeneracy condition.

The virtual holonomic constraints satisfying this vector relative degree condition are called regular, and regular constraints are always feasible [22], i.e. there exists a smooth feedback such that Γ is positively invariant for the closed-loop system.

We first provide a Karp reduction from the Clique problem to our problems without the degree condition.

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This was the period which, to an extraordinary degree, conditioned the rest of his life and kept him close to Glasgow and the friendships he valued so much.

We consider, in a smooth bounded multiply connected domain D⊂R2, the Ginzburg Landau energy Eε u)= 12∫D|∇u|2+14ε2∫D(1−|u|2)2 subject to prescribed degree conditions on each component of ∂D.

This result and its variants are then applied to designing polynomial-time approximation schemes for planar graphs where a decomposition does not necessarily exist but the local degree conditions should be met for as many vertices as possible.

We chose to use a joint tracking sensor (the Kinect) for our most embodied fourth degree conditions because it afforded locomotion and gross motor gestures.

Because the 90-degree condition amounts to a test of local directional coherence, the terms coherent and incoherent are applied to vectors that pass or fail this condition, respectively.

Before the series started, Bennett said he would not start a race in unsettled breezes, meaning winds in the 6- to 8-knot range, with shifts of 30 to 40 degrees, conditions that might skew the results.

Given global warming, any future Winter Classics located in traditionally cold climes may end up being played in 70-degree conditions with melting ice and players skating in shorts.

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