Sentence examples for quadratic structure from inspiring English sources

This paper proposes a gain-scheduling approach for systems with a quadratic structure.

At lower underpotentials, new islands nucleate on the monolayer previously formed, and grow acquiring a quadratic structure.

Our conditions for gradient estimates are motivated by the case when F is linear and the corresponding quadratic structure conditions for gradient estimates for uniformly elliptic quasilinear equations, as originally introduced by Ladyzhenskaya and Ural'tseva [7, 21].

As in the previous cases the condition A1* will hold if either h ′ ( z ) < 0, (that is det E > 0 ), or h ′ ( z ) > 0, (that is det E < 0 ), which again follows from the equivalent quadratic structure of the equation Q ( x, y, z ) = q.

It also follows that condition A1* is also satisfied when (4.9) holds, that is the mapping Q given by Q ( x, y, z ) = 2 z 2 D Φ + z ( x - y ) 1 + z 2 | x - y | 2 is one to one in x, for 0 < z < z 0 ( x, y ), which can be proved for example from the quadratic structure of the equation, Q ( x, y, z ) = q.

This ODE is extended from its quadratic structure to a general polynomial of order 'n'.

This simple modification results in significant leeway to design a controller that responds more effectively and safely to the dietary habits of the AP user, while maintaining the quadratic program structure of the resulting optimization problem.

We have first implemented the quadratic Jordan structure of H3(Os,−) into the computer system Mathematica (Computing the derivation Lie algebra of the quadratic Jordon Algebra H3(Os,−) at any characteristic, preprint, 2001) and then determined the generic expression of an element of the Lie algebra f4(Os,− =Der(H3(Os,−)) (see (41)).

In cases with quadratic cost structure, using a linear model might result in over-control which would not be marginally effective.

Thus, a quadratic cost structure will require NPIs to be implemented in more states but with much lower intensity in those states.

The flux of actomyosin then satisfies, (14) − L − 2 ∂ x x J = C (1 − L − 1 ∂ x J ) (J − ∫ − 1 / 2 1 / 2 J (u ) d u ) − J with J (− 1 / 2 ) = J a, and J(1/2) = 0. Equation (14) has a long range interaction with a quadratic non linearity structure.